Details

analyze659.0ms (7.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
9.4%	90.4%	0.2%	10
23.4%	74.9%	1.8%	11
27.3%	69%	3.7%	12
36.6%	56.5%	6.8%	13
40.5%	52%	7.4%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample23.0ms (0.3%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
2.0ms	60×	body	128	invalid

Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify591.0ms (6.5%)

Algorithm

1×	egg-herbie

Rules

807×	`exp-prod_binary64_9678`
572×	`swap-sqr_binary64_9593`
527×	`cube-prod_binary64_9654`
315×	`unsub-neg_binary64_9620`
208×	`exp-sum_binary64_9672`
202×	`distribute-rgt-in_binary64_9576`
191×	`sqr-pow_binary64_9598`
163×	`neg-mul-1_binary64_9622`
158×	`distribute-lft-neg-in_binary64_9583`
149×	`neg-sub0_binary64_9621`
147×	`distribute-rgt-neg-in_binary64_9584`
131×	`distribute-rgt1-in_binary64_9582`
98×	`*-commutative_binary64_9557`
94×	`exp-diff_binary64_9674`
91×	`distribute-lft-in_binary64_9575`
87×	`sub-neg_binary64_9619`
78×	`pow-plus_binary64_9689`
68×	`pow-sqr_binary64_9599`
58×	`distribute-neg-in_binary64_9587`
52×	`associate-r_binary64_9566`
50×	`associate-+l-_binary64_9561`
48×	`sqr-neg_binary64_9640`
45×	`+-commutative_binary64_9556`
44×	`cancel-sign-sub-inv_binary64_9592`
43×	`distribute-rgt-neg-out_binary64_9586` `distribute-lft-neg-out_binary64_9585`
42×	`remove-double-neg_binary64_9614`
40×	`associate-l_binary64_9567`
29×	`associate-+l+_binary64_9559`
28×	`sub0-neg_binary64_9613`
23×	`distribute-rgt-out_binary64_9579`
22×	`associate--r+_binary64_9562`
19×	`distribute-neg-out_binary64_9588`
18×	`mul0-rgt_binary64_9609` `mul0-lft_binary64_9608`
16×	`exp-neg_binary64_9673`
15×	`exp-lft-sqr_binary64_9681`
11×	`associate-+r-_binary64_9560`
9×	`associate-+r+_binary64_9558`
8×	`+-rgt-identity_binary64_9611` `associate--l-_binary64_9564`
7×	`associate--r-_binary64_9565`
6×	`+-lft-identity_binary64_9610` `unswap-sqr_binary64_9594` `distribute-rgt-out--_binary64_9580`
5×	`--rgt-identity_binary64_9612` `count-2_binary64_9574`
4×	`cube-unmult_binary64_9663` `-rgt-identity_binary64_9616` `-lft-identity_binary64_9615`
3×	`distribute-lft1-in_binary64_9581`
2×	`cube-neg_binary64_9653` `difference-of-sqr--1_binary64_9597` `distribute-lft-out_binary64_9577` `associate--l+_binary64_9563`
1×	`1-exp_binary64_9670` `exp-1-e_binary64_9669` `div-sub_binary64_9631` `difference-of-sqr-1_binary64_9596` `cancel-sign-sub_binary64_9591`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_9889` `erf-erfc_binary64_9888` `erf-odd_binary64_9887` `if-if-and-not_binary64_9886` `if-if-and_binary64_9885` `if-if-or-not_binary64_9884` `if-if-or_binary64_9883` `if-not_binary64_9882` `if-same_binary64_9881` `if-false_binary64_9880` `if-true_binary64_9879` `not-gte_binary64_9878` `not-lte_binary64_9877` `not-gt_binary64_9876` `not-lt_binary64_9875` `gte-same_binary64_9874` `lte-same_binary64_9873` `gt-same_binary64_9872` `lt-same_binary64_9871` `sinh---cosh_binary64_9818` `sinh-+-cosh_binary64_9817` `sinh-cosh_binary64_9816` `tanh-def-c_binary64_9815` `tanh-def-b_binary64_9814` `tanh-def-a_binary64_9813` `cosh-def_binary64_9812` `sinh-def_binary64_9811` `tan-neg_binary64_9758` `cos-neg_binary64_9757` `sin-neg_binary64_9756` `tan-0_binary64_9755` `cos-0_binary64_9754` `sin-0_binary64_9753` `hang-m-tan_binary64_9752` `hang-p-tan_binary64_9751` `hang-m0-tan_binary64_9750` `hang-p0-tan_binary64_9749` `hang-0m-tan_binary64_9748` `hang-0p-tan_binary64_9747` `tan-+PI/2_binary64_9746` `tan-+PI_binary64_9745` `tan-PI_binary64_9744` `tan-PI/3_binary64_9743` `tan-PI/4_binary64_9742` `tan-PI/6_binary64_9741` `cos-+PI/2_binary64_9740` `cos-+PI_binary64_9739` `cos-PI_binary64_9738` `cos-PI/2_binary64_9737` `cos-PI/3_binary64_9736` `cos-PI/4_binary64_9735` `cos-PI/6_binary64_9734` `sin-+PI/2_binary64_9733` `sin-+PI_binary64_9732` `sin-PI_binary64_9731` `sin-PI/2_binary64_9730` `sin-PI/3_binary64_9729` `sin-PI/4_binary64_9728` `sin-PI/6_binary64_9727` `sub-1-sin_binary64_9726` `sub-1-cos_binary64_9725` `-1-add-sin_binary64_9724` `-1-add-cos_binary64_9723` `1-sub-sin_binary64_9722` `1-sub-cos_binary64_9721` `cos-sin-sum_binary64_9720` `log-E_binary64_9716` `log-pow_binary64_9715` `log-rec_binary64_9714` `log-div_binary64_9713` `log-prod_binary64_9712` `pow-base-0_binary64_9710` `unpow1/3_binary64_9693` `unpow3_binary64_9692` `unpow2_binary64_9691` `unpow1/2_binary64_9690` `exp-to-pow_binary64_9688` `pow-base-1_binary64_9686` `unpow0_binary64_9685` `unpow1_binary64_9684` `unpow-1_binary64_9683` `exp-lft-cube_binary64_9682` `exp-cbrt_binary64_9680` `exp-sqrt_binary64_9679` `div-exp_binary64_9677` `rec-exp_binary64_9676` `prod-exp_binary64_9675` `e-exp-1_binary64_9671` `exp-0_binary64_9668` `rem-log-exp_binary64_9667` `rem-exp-log_binary64_9666` `cube-mult_binary64_9656` `cube-div_binary64_9655` `rem-3cbrt-rft_binary64_9652` `rem-3cbrt-lft_binary64_9651` `rem-cbrt-cube_binary64_9650` `rem-cube-cbrt_binary64_9649` `sqr-abs_binary64_9641` `rem-sqrt-square_binary64_9639` `rem-square-sqrt_binary64_9638` `times-frac_binary64_9632` `mul-1-neg_binary64_9618` `/-rgt-identity_binary64_9617` `div0_binary64_9607` `-inverses_binary64_9606` `+-inverses_binary64_9605` `lft-mult-inverse_binary64_9604` `rgt-mult-inverse_binary64_9603` `remove-double-div_binary64_9602` `difference-of-squares_binary64_9595` `distribute-neg-frac_binary64_9590` `distribute-frac-neg_binary64_9589` `distribute-lft-out--_binary64_9578` `associate-/l/_binary64_9573` `associate-/r/_binary64_9572` `associate-/l_binary64_9571` `associate-/r_binary64_9570` `associate-l/_binary64_9569` `associate-*r/_binary64_9568`

Counts

1 → 4

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	10
1	19	10
2	41	10
3	89	10
4	146	10
5	196	10
6	398	10
7	755	10
8	2180	10

prune14.0ms (0.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	1	3	4
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	2	3	5

Error

0.1b

Counts

5 → 3

Compiler

Compiled 49 to 34 computations (30.6% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

6.6b	(.f64 (.f64 t y) (-.f64 x z))

rewrite39.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

6×	`pow1_binary64_9687` `add-exp-log_binary64_9664` `add-cbrt-cube_binary64_9662` `add-sqr-sqrt_binary64_9648` `*-un-lft-identity_binary64_9626` `cancel-sign-sub-inv_binary64_9592`
5×	`associate-r_binary64_9566`
4×	`add-cube-cbrt_binary64_9661` `distribute-rgt-in_binary64_9576` `distribute-lft-in_binary64_9575`
3×	`pow-prod-down_binary64_9697` `prod-exp_binary64_9675` `cbrt-unprod_binary64_9659`
2×	`sub-neg_binary64_9619` `associate-*r/_binary64_9568`
1×	`add-log-exp_binary64_9665` `flip3--_binary64_9630` `flip--_binary64_9601` `associate-l_binary64_9567` `difference-of-squares_binary64_9595` `distribute-lft-out--_binary64_9578` `*-commutative_binary64_9557`

Counts

1 → 30

Calls

1 calls:

10.0ms

(*.f64 (*.f64 t y) (-.f64 x z))

Compiler

Compiled 428 to 118 computations (72.4% saved)

series295.0ms (3.2%)

Error

0.1b

Counts

1 → 18

Calls

1 calls:

284.0ms

(*.f64 (*.f64 t y) (-.f64 x z))

Compiler

Compiled 408 to 262 computations (35.8% saved)

simplify177.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

418×	`distribute-rgt-neg-out_binary64_9586`
416×	`distribute-lft-neg-out_binary64_9585`
333×	`exp-prod_binary64_9678`
287×	`distribute-rgt-in_binary64_9576`
284×	`distribute-lft-in_binary64_9575`
263×	`*-commutative_binary64_9557`
258×	`unsub-neg_binary64_9620`
181×	`associate-l_binary64_9567`
150×	`+-commutative_binary64_9556`
140×	`associate-r_binary64_9566`
102×	`sqr-pow_binary64_9598`
82×	`neg-sub0_binary64_9621` `associate-+r+_binary64_9558`
78×	`neg-mul-1_binary64_9622`
71×	`exp-sum_binary64_9672`
68×	`associate-+l+_binary64_9559`
66×	`swap-sqr_binary64_9593`
60×	`distribute-rgt-neg-in_binary64_9584`
54×	`distribute-lft-neg-in_binary64_9583`
46×	`cancel-sign-sub-inv_binary64_9592`
43×	`sub-neg_binary64_9619`
40×	`*-lft-identity_binary64_9615`
39×	`unswap-sqr_binary64_9594`
38×	`*-rgt-identity_binary64_9616`
29×	`cube-prod_binary64_9654`
28×	`log-prod_binary64_9712` `pow-sqr_binary64_9599` `associate-/l*_binary64_9571`
26×	`exp-diff_binary64_9674`
20×	`exp-to-pow_binary64_9688` `exp-neg_binary64_9673`
19×	`mul0-rgt_binary64_9609` `mul0-lft_binary64_9608`
16×	`difference-of-squares_binary64_9595`
14×	`associate-+l-_binary64_9561`
13×	`associate-+r-_binary64_9560`
11×	`sqr-neg_binary64_9640`
10×	`div-sub_binary64_9631`
8×	`distribute-rgt-out--_binary64_9580`
7×	`unpow3_binary64_9692` `cube-unmult_binary64_9663` `distribute-rgt-out_binary64_9579`
6×	`sub0-neg_binary64_9613` `+-rgt-identity_binary64_9611` `associate-*r/_binary64_9568`
5×	`associate-/l/_binary64_9573`
4×	`cube-mult_binary64_9656` `associate-*l/_binary64_9569`
2×	`distribute-lft-out--_binary64_9578` `distribute-lft-out_binary64_9577` `associate--r+_binary64_9562`
1×	`log-pow_binary64_9715` `pow-plus_binary64_9689` `pow-base-1_binary64_9686` `prod-exp_binary64_9675` `1-exp_binary64_9670` `exp-1-e_binary64_9669` `rem-log-exp_binary64_9667` `rem-3cbrt-lft_binary64_9651` `rem-sqrt-square_binary64_9639` `rem-square-sqrt_binary64_9638` `mul-1-neg_binary64_9618` `count-2_binary64_9574`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_9889` `erf-erfc_binary64_9888` `erf-odd_binary64_9887` `if-if-and-not_binary64_9886` `if-if-and_binary64_9885` `if-if-or-not_binary64_9884` `if-if-or_binary64_9883` `if-not_binary64_9882` `if-same_binary64_9881` `if-false_binary64_9880` `if-true_binary64_9879` `not-gte_binary64_9878` `not-lte_binary64_9877` `not-gt_binary64_9876` `not-lt_binary64_9875` `gte-same_binary64_9874` `lte-same_binary64_9873` `gt-same_binary64_9872` `lt-same_binary64_9871` `sinh---cosh_binary64_9818` `sinh-+-cosh_binary64_9817` `sinh-cosh_binary64_9816` `tanh-def-c_binary64_9815` `tanh-def-b_binary64_9814` `tanh-def-a_binary64_9813` `cosh-def_binary64_9812` `sinh-def_binary64_9811` `tan-neg_binary64_9758` `cos-neg_binary64_9757` `sin-neg_binary64_9756` `tan-0_binary64_9755` `cos-0_binary64_9754` `sin-0_binary64_9753` `hang-m-tan_binary64_9752` `hang-p-tan_binary64_9751` `hang-m0-tan_binary64_9750` `hang-p0-tan_binary64_9749` `hang-0m-tan_binary64_9748` `hang-0p-tan_binary64_9747` `tan-+PI/2_binary64_9746` `tan-+PI_binary64_9745` `tan-PI_binary64_9744` `tan-PI/3_binary64_9743` `tan-PI/4_binary64_9742` `tan-PI/6_binary64_9741` `cos-+PI/2_binary64_9740` `cos-+PI_binary64_9739` `cos-PI_binary64_9738` `cos-PI/2_binary64_9737` `cos-PI/3_binary64_9736` `cos-PI/4_binary64_9735` `cos-PI/6_binary64_9734` `sin-+PI/2_binary64_9733` `sin-+PI_binary64_9732` `sin-PI_binary64_9731` `sin-PI/2_binary64_9730` `sin-PI/3_binary64_9729` `sin-PI/4_binary64_9728` `sin-PI/6_binary64_9727` `sub-1-sin_binary64_9726` `sub-1-cos_binary64_9725` `-1-add-sin_binary64_9724` `-1-add-cos_binary64_9723` `1-sub-sin_binary64_9722` `1-sub-cos_binary64_9721` `cos-sin-sum_binary64_9720` `log-E_binary64_9716` `log-rec_binary64_9714` `log-div_binary64_9713` `pow-base-0_binary64_9710` `unpow1/3_binary64_9693` `unpow2_binary64_9691` `unpow1/2_binary64_9690` `unpow0_binary64_9685` `unpow1_binary64_9684` `unpow-1_binary64_9683` `exp-lft-cube_binary64_9682` `exp-lft-sqr_binary64_9681` `exp-cbrt_binary64_9680` `exp-sqrt_binary64_9679` `div-exp_binary64_9677` `rec-exp_binary64_9676` `e-exp-1_binary64_9671` `exp-0_binary64_9668` `rem-exp-log_binary64_9666` `cube-div_binary64_9655` `cube-neg_binary64_9653` `rem-3cbrt-rft_binary64_9652` `rem-cbrt-cube_binary64_9650` `rem-cube-cbrt_binary64_9649` `sqr-abs_binary64_9641` `times-frac_binary64_9632` `/-rgt-identity_binary64_9617` `remove-double-neg_binary64_9614` `--rgt-identity_binary64_9612` `+-lft-identity_binary64_9610` `div0_binary64_9607` `-inverses_binary64_9606` `+-inverses_binary64_9605` `lft-mult-inverse_binary64_9604` `rgt-mult-inverse_binary64_9603` `remove-double-div_binary64_9602` `difference-of-sqr--1_binary64_9597` `difference-of-sqr-1_binary64_9596` `cancel-sign-sub_binary64_9591` `distribute-neg-frac_binary64_9590` `distribute-frac-neg_binary64_9589` `distribute-neg-out_binary64_9588` `distribute-neg-in_binary64_9587` `distribute-rgt1-in_binary64_9582` `distribute-lft1-in_binary64_9581` `associate-/r/_binary64_9572` `associate-/r_binary64_9570` `associate--r-_binary64_9565` `associate--l-_binary64_9564` `associate--l+_binary64_9563`

Counts

48 → 238

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	88	621
1	253	558
2	814	558
3	2262	558
4	4911	558

prune159.0ms (1.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	233	5	238
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	233	8	241

Error

0.0b

Counts

241 → 8

Compiler

Compiled 3050 to 313 computations (89.7% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (-.f64 x z))
0.5b	(cbrt.f64 (-.f64 x z))
1.6b	(.f64 (.f64 t (.f64 y (.f64 (cbrt.f64 (-.f64 x z)) (cbrt.f64 (-.f64 x z))))) (cbrt.f64 (-.f64 x z)))
4.2b	(.f64 t (.f64 y (*.f64 (cbrt.f64 (-.f64 x z)) (cbrt.f64 (-.f64 x z)))))

rewrite199.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

74×	`associate-*r/_binary64_9568`
70×	`cbrt-div_binary64_9658`
35×	`flip3--_binary64_9630` `flip--_binary64_9601`
32×	`frac-times_binary64_9636`
27×	`pow1_binary64_9687` `add-exp-log_binary64_9664`
19×	`add-cbrt-cube_binary64_9662`
16×	`pow-prod-down_binary64_9697` `prod-exp_binary64_9675` `cbrt-unprod_binary64_9659` `associate-*l/_binary64_9569`
15×	`add-sqr-sqrt_binary64_9648` `*-un-lft-identity_binary64_9626` `cbrt-prod_binary64_9657`
9×	`add-cube-cbrt_binary64_9661` `associate-r_binary64_9566`
4×	`add-log-exp_binary64_9665` `associate-l_binary64_9567`
3×	`difference-of-squares_binary64_9595` `distribute-lft-out--_binary64_9578`
2×	`*-commutative_binary64_9557` `pow1/3_binary64_9708`

Counts

4 → 114

Calls

4 calls:

22.0ms	(.f64 (.f64 t (.f64 y (.f64 (cbrt.f64 (-.f64 x z)) (cbrt.f64 (-.f64 x z))))) (cbrt.f64 (-.f64 x z)))
16.0ms	(.f64 t (.f64 y (*.f64 (cbrt.f64 (-.f64 x z)) (cbrt.f64 (-.f64 x z)))))
4.0ms	(cbrt.f64 (-.f64 x z))
3.0ms	(cbrt.f64 (-.f64 x z))

Compiler

Compiled 3571 to 653 computations (81.7% saved)

series1.4s (15.6%)

Error

0.0b

Counts

4 → 56

Calls

4 calls:

735.0ms	(.f64 t (.f64 y (*.f64 (cbrt.f64 (-.f64 x z)) (cbrt.f64 (-.f64 x z)))))
344.0ms	(.f64 (.f64 t (.f64 y (.f64 (cbrt.f64 (-.f64 x z)) (cbrt.f64 (-.f64 x z))))) (cbrt.f64 (-.f64 x z)))
149.0ms	(cbrt.f64 (-.f64 x z))
145.0ms	(cbrt.f64 (-.f64 x z))

Compiler

Compiled 3121 to 2172 computations (30.4% saved)

simplify746.0ms (8.2%)

Algorithm

1×	egg-herbie

Rules

509×	`associate-l_binary64_9567`
421×	`associate-r_binary64_9566`
306×	`exp-prod_binary64_9678`
263×	`distribute-rgt-in_binary64_9576`
262×	`distribute-lft-in_binary64_9575`
172×	`*-commutative_binary64_9557`
145×	`distribute-rgt-neg-in_binary64_9584`
143×	`log-prod_binary64_9712`
128×	`cancel-sign-sub-inv_binary64_9592`
119×	`distribute-lft-neg-in_binary64_9583`
96×	`sqr-pow_binary64_9598`
51×	`associate-+l+_binary64_9559`
40×	`sub-neg_binary64_9619` `pow-sqr_binary64_9599`
39×	`cube-prod_binary64_9654` `neg-sub0_binary64_9621`
38×	`exp-diff_binary64_9674` `distribute-lft-neg-out_binary64_9585` `associate-+r+_binary64_9558`
36×	`swap-sqr_binary64_9593`
34×	`neg-mul-1_binary64_9622` `associate-*r/_binary64_9568` `+-commutative_binary64_9556`
31×	`associate-*l/_binary64_9569`
23×	`unswap-sqr_binary64_9594` `distribute-rgt-neg-out_binary64_9586`
21×	`pow-plus_binary64_9689`
20×	`distribute-rgt-out_binary64_9579`
19×	`log-div_binary64_9713`
18×	`log-pow_binary64_9715` `exp-sum_binary64_9672`
17×	`exp-sqrt_binary64_9679` `*-rgt-identity_binary64_9616`
16×	`unpow3_binary64_9692` `associate-+l-_binary64_9561` `associate-+r-_binary64_9560`
14×	`*-lft-identity_binary64_9615`
13×	`distribute-rgt-out--_binary64_9580`
11×	`unpow1/3_binary64_9693`
9×	`cube-unmult_binary64_9663` `distribute-lft-out--_binary64_9578` `associate-/l/_binary64_9573`
8×	`associate--l+_binary64_9563`
7×	`difference-of-squares_binary64_9595` `associate-/r*_binary64_9570`
6×	`distribute-lft-out_binary64_9577` `associate-/l*_binary64_9571`
5×	`rem-3cbrt-lft_binary64_9651` `mul-1-neg_binary64_9618`
4×	`unpow2_binary64_9691` `unpow1_binary64_9684` `unsub-neg_binary64_9620` `remove-double-neg_binary64_9614` `associate--r-_binary64_9565`
3×	`cube-mult_binary64_9656` `distribute-neg-out_binary64_9588` `distribute-neg-in_binary64_9587` `associate--l-_binary64_9564` `associate--r+_binary64_9562`
2×	`exp-to-pow_binary64_9688` `count-2_binary64_9574`
1×	`log-rec_binary64_9714` `prod-exp_binary64_9675` `1-exp_binary64_9670` `exp-1-e_binary64_9669` `rem-log-exp_binary64_9667` `rem-cbrt-cube_binary64_9650` `rem-cube-cbrt_binary64_9649` `div-sub_binary64_9631` `--rgt-identity_binary64_9612` `*-inverses_binary64_9606` `cancel-sign-sub_binary64_9591` `distribute-lft1-in_binary64_9581`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_9889` `erf-erfc_binary64_9888` `erf-odd_binary64_9887` `if-if-and-not_binary64_9886` `if-if-and_binary64_9885` `if-if-or-not_binary64_9884` `if-if-or_binary64_9883` `if-not_binary64_9882` `if-same_binary64_9881` `if-false_binary64_9880` `if-true_binary64_9879` `not-gte_binary64_9878` `not-lte_binary64_9877` `not-gt_binary64_9876` `not-lt_binary64_9875` `gte-same_binary64_9874` `lte-same_binary64_9873` `gt-same_binary64_9872` `lt-same_binary64_9871` `sinh---cosh_binary64_9818` `sinh-+-cosh_binary64_9817` `sinh-cosh_binary64_9816` `tanh-def-c_binary64_9815` `tanh-def-b_binary64_9814` `tanh-def-a_binary64_9813` `cosh-def_binary64_9812` `sinh-def_binary64_9811` `tan-neg_binary64_9758` `cos-neg_binary64_9757` `sin-neg_binary64_9756` `tan-0_binary64_9755` `cos-0_binary64_9754` `sin-0_binary64_9753` `hang-m-tan_binary64_9752` `hang-p-tan_binary64_9751` `hang-m0-tan_binary64_9750` `hang-p0-tan_binary64_9749` `hang-0m-tan_binary64_9748` `hang-0p-tan_binary64_9747` `tan-+PI/2_binary64_9746` `tan-+PI_binary64_9745` `tan-PI_binary64_9744` `tan-PI/3_binary64_9743` `tan-PI/4_binary64_9742` `tan-PI/6_binary64_9741` `cos-+PI/2_binary64_9740` `cos-+PI_binary64_9739` `cos-PI_binary64_9738` `cos-PI/2_binary64_9737` `cos-PI/3_binary64_9736` `cos-PI/4_binary64_9735` `cos-PI/6_binary64_9734` `sin-+PI/2_binary64_9733` `sin-+PI_binary64_9732` `sin-PI_binary64_9731` `sin-PI/2_binary64_9730` `sin-PI/3_binary64_9729` `sin-PI/4_binary64_9728` `sin-PI/6_binary64_9727` `sub-1-sin_binary64_9726` `sub-1-cos_binary64_9725` `-1-add-sin_binary64_9724` `-1-add-cos_binary64_9723` `1-sub-sin_binary64_9722` `1-sub-cos_binary64_9721` `cos-sin-sum_binary64_9720` `log-E_binary64_9716` `pow-base-0_binary64_9710` `unpow1/2_binary64_9690` `pow-base-1_binary64_9686` `unpow0_binary64_9685` `unpow-1_binary64_9683` `exp-lft-cube_binary64_9682` `exp-lft-sqr_binary64_9681` `exp-cbrt_binary64_9680` `div-exp_binary64_9677` `rec-exp_binary64_9676` `exp-neg_binary64_9673` `e-exp-1_binary64_9671` `exp-0_binary64_9668` `rem-exp-log_binary64_9666` `cube-div_binary64_9655` `cube-neg_binary64_9653` `rem-3cbrt-rft_binary64_9652` `sqr-abs_binary64_9641` `sqr-neg_binary64_9640` `rem-sqrt-square_binary64_9639` `rem-square-sqrt_binary64_9638` `times-frac_binary64_9632` `/-rgt-identity_binary64_9617` `sub0-neg_binary64_9613` `+-rgt-identity_binary64_9611` `+-lft-identity_binary64_9610` `mul0-rgt_binary64_9609` `mul0-lft_binary64_9608` `div0_binary64_9607` `+-inverses_binary64_9605` `lft-mult-inverse_binary64_9604` `rgt-mult-inverse_binary64_9603` `remove-double-div_binary64_9602` `difference-of-sqr--1_binary64_9597` `difference-of-sqr-1_binary64_9596` `distribute-neg-frac_binary64_9590` `distribute-frac-neg_binary64_9589` `distribute-rgt1-in_binary64_9582` `associate-/r/_binary64_9572`

Counts

170 → 442

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	248	4032
1	612	3807
2	2207	3575
3	4512	3571

prune621.0ms (6.8%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	441	1	442
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	441	9	450

Error

0.0b

Counts

450 → 9

Compiler

Compiled 13572 to 3547 computations (73.9% saved)

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 t (-.f64 x z))
7.2b	(.f64 y (.f64 t (-.f64 x z)))

rewrite64.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

20×	`distribute-rgt-in_binary64_9576` `distribute-lft-in_binary64_9575`
18×	`cancel-sign-sub-inv_binary64_9592`
15×	`add-sqr-sqrt_binary64_9648`
13×	`*-un-lft-identity_binary64_9626`
11×	`add-cube-cbrt_binary64_9661`
9×	`pow1_binary64_9687` `add-exp-log_binary64_9664` `add-cbrt-cube_binary64_9662`
6×	`sub-neg_binary64_9619` `associate-r/_binary64_9568` `associate-l_binary64_9567` `associate-r*_binary64_9566`
4×	`pow-prod-down_binary64_9697` `prod-exp_binary64_9675` `cbrt-unprod_binary64_9659`
2×	`add-log-exp_binary64_9665` `flip3--_binary64_9630` `flip--_binary64_9601` `*-commutative_binary64_9557`
1×	`unswap-sqr_binary64_9594` `difference-of-squares_binary64_9595` `distribute-lft-out--_binary64_9578`

Counts

2 → 66

Calls

2 calls:

8.0ms	(.f64 y (.f64 t (-.f64 x z)))
7.0ms	(*.f64 t (-.f64 x z))

Compiler

Compiled 918 to 248 computations (73% saved)

series441.0ms (4.8%)

Error

0.0b

Counts

2 → 33

Calls

2 calls:

293.0ms	(.f64 y (.f64 t (-.f64 x z)))
132.0ms	(*.f64 t (-.f64 x z))

Compiler

Compiled 705 to 455 computations (35.5% saved)

simplify268.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

419×	`unsub-neg_binary64_9620`
401×	`exp-prod_binary64_9678`
400×	`distribute-rgt-in_binary64_9576`
396×	`distribute-lft-in_binary64_9575`
281×	`*-commutative_binary64_9557`
202×	`+-commutative_binary64_9556`
168×	`associate-l_binary64_9567` `associate-r_binary64_9566`
141×	`times-frac_binary64_9632`
138×	`sqr-pow_binary64_9598`
130×	`neg-sub0_binary64_9621`
129×	`exp-sum_binary64_9672`
125×	`neg-mul-1_binary64_9622`
108×	`associate-+r+_binary64_9558`
106×	`swap-sqr_binary64_9593`
93×	`associate-+l+_binary64_9559`
77×	`distribute-rgt-neg-in_binary64_9584`
72×	`distribute-rgt-neg-out_binary64_9586`
71×	`distribute-lft-neg-out_binary64_9585`
68×	`distribute-lft-neg-in_binary64_9583`
58×	`exp-diff_binary64_9674`
52×	`sqr-neg_binary64_9640`
51×	`cancel-sign-sub-inv_binary64_9592`
43×	`sub-neg_binary64_9619`
42×	`-rgt-identity_binary64_9616` `-lft-identity_binary64_9615`
38×	`exp-neg_binary64_9673`
35×	`unswap-sqr_binary64_9594`
34×	`cube-prod_binary64_9654`
33×	`log-prod_binary64_9712` `associate-/l*_binary64_9571`
28×	`pow-sqr_binary64_9599`
27×	`exp-to-pow_binary64_9688`
26×	`mul0-rgt_binary64_9609` `mul0-lft_binary64_9608`
20×	`div-sub_binary64_9631`
16×	`difference-of-squares_binary64_9595`
14×	`associate-+l-_binary64_9561`
13×	`associate-+r-_binary64_9560`
11×	`associate-*r/_binary64_9568`
10×	`distribute-rgt-out--_binary64_9580`
9×	`cube-unmult_binary64_9663` `associate-/l/_binary64_9573`
7×	`unpow3_binary64_9692`
6×	`sub0-neg_binary64_9613` `+-rgt-identity_binary64_9611` `distribute-rgt-out_binary64_9579`
5×	`prod-exp_binary64_9675` `associate-/r_binary64_9570` `associate-l/_binary64_9569`
4×	`div-exp_binary64_9677` `cube-mult_binary64_9656` `cube-neg_binary64_9653` `associate-/r/_binary64_9572`
3×	`mul-1-neg_binary64_9618`
2×	`rem-sqrt-square_binary64_9639` `distribute-lft-out--_binary64_9578` `associate--r+_binary64_9562`
1×	`log-pow_binary64_9715` `pow-plus_binary64_9689` `pow-base-1_binary64_9686` `1-exp_binary64_9670` `exp-1-e_binary64_9669` `rem-log-exp_binary64_9667` `rem-3cbrt-lft_binary64_9651` `rem-square-sqrt_binary64_9638` `/-rgt-identity_binary64_9617` `count-2_binary64_9574`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_9889` `erf-erfc_binary64_9888` `erf-odd_binary64_9887` `if-if-and-not_binary64_9886` `if-if-and_binary64_9885` `if-if-or-not_binary64_9884` `if-if-or_binary64_9883` `if-not_binary64_9882` `if-same_binary64_9881` `if-false_binary64_9880` `if-true_binary64_9879` `not-gte_binary64_9878` `not-lte_binary64_9877` `not-gt_binary64_9876` `not-lt_binary64_9875` `gte-same_binary64_9874` `lte-same_binary64_9873` `gt-same_binary64_9872` `lt-same_binary64_9871` `sinh---cosh_binary64_9818` `sinh-+-cosh_binary64_9817` `sinh-cosh_binary64_9816` `tanh-def-c_binary64_9815` `tanh-def-b_binary64_9814` `tanh-def-a_binary64_9813` `cosh-def_binary64_9812` `sinh-def_binary64_9811` `tan-neg_binary64_9758` `cos-neg_binary64_9757` `sin-neg_binary64_9756` `tan-0_binary64_9755` `cos-0_binary64_9754` `sin-0_binary64_9753` `hang-m-tan_binary64_9752` `hang-p-tan_binary64_9751` `hang-m0-tan_binary64_9750` `hang-p0-tan_binary64_9749` `hang-0m-tan_binary64_9748` `hang-0p-tan_binary64_9747` `tan-+PI/2_binary64_9746` `tan-+PI_binary64_9745` `tan-PI_binary64_9744` `tan-PI/3_binary64_9743` `tan-PI/4_binary64_9742` `tan-PI/6_binary64_9741` `cos-+PI/2_binary64_9740` `cos-+PI_binary64_9739` `cos-PI_binary64_9738` `cos-PI/2_binary64_9737` `cos-PI/3_binary64_9736` `cos-PI/4_binary64_9735` `cos-PI/6_binary64_9734` `sin-+PI/2_binary64_9733` `sin-+PI_binary64_9732` `sin-PI_binary64_9731` `sin-PI/2_binary64_9730` `sin-PI/3_binary64_9729` `sin-PI/4_binary64_9728` `sin-PI/6_binary64_9727` `sub-1-sin_binary64_9726` `sub-1-cos_binary64_9725` `-1-add-sin_binary64_9724` `-1-add-cos_binary64_9723` `1-sub-sin_binary64_9722` `1-sub-cos_binary64_9721` `cos-sin-sum_binary64_9720` `log-E_binary64_9716` `log-rec_binary64_9714` `log-div_binary64_9713` `pow-base-0_binary64_9710` `unpow1/3_binary64_9693` `unpow2_binary64_9691` `unpow1/2_binary64_9690` `unpow0_binary64_9685` `unpow1_binary64_9684` `unpow-1_binary64_9683` `exp-lft-cube_binary64_9682` `exp-lft-sqr_binary64_9681` `exp-cbrt_binary64_9680` `exp-sqrt_binary64_9679` `rec-exp_binary64_9676` `e-exp-1_binary64_9671` `exp-0_binary64_9668` `rem-exp-log_binary64_9666` `cube-div_binary64_9655` `rem-3cbrt-rft_binary64_9652` `rem-cbrt-cube_binary64_9650` `rem-cube-cbrt_binary64_9649` `sqr-abs_binary64_9641` `remove-double-neg_binary64_9614` `--rgt-identity_binary64_9612` `+-lft-identity_binary64_9610` `div0_binary64_9607` `*-inverses_binary64_9606` `+-inverses_binary64_9605` `lft-mult-inverse_binary64_9604` `rgt-mult-inverse_binary64_9603` `remove-double-div_binary64_9602` `difference-of-sqr--1_binary64_9597` `difference-of-sqr-1_binary64_9596` `cancel-sign-sub_binary64_9591` `distribute-neg-frac_binary64_9590` `distribute-frac-neg_binary64_9589` `distribute-neg-out_binary64_9588` `distribute-neg-in_binary64_9587` `distribute-rgt1-in_binary64_9582` `distribute-lft1-in_binary64_9581` `distribute-lft-out_binary64_9577` `associate--r-_binary64_9565` `associate--l-_binary64_9564` `associate--l+_binary64_9563`

Counts

99 → 189

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	123	1142
1	286	1049
2	910	1049
3	2885	1049
4	4651	1049

prune118.0ms (1.3%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	189	0	189
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	189	9	198

Error

0.0b

Counts

198 → 9

Compiler

Compiled 2384 to 319 computations (86.6% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 y (-.f64 x z))
7.6b	(.f64 (.f64 y (-.f64 x z)) t)

rewrite54.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

11×	`add-sqr-sqrt_binary64_9648`
9×	`pow1_binary64_9687` `add-exp-log_binary64_9664` `add-cbrt-cube_binary64_9662` `*-un-lft-identity_binary64_9626`
8×	`associate-r_binary64_9566`
7×	`add-cube-cbrt_binary64_9661`
6×	`cancel-sign-sub-inv_binary64_9592`
4×	`pow-prod-down_binary64_9697` `prod-exp_binary64_9675` `cbrt-unprod_binary64_9659` `associate-r/_binary64_9568` `associate-l*_binary64_9567` `distribute-rgt-in_binary64_9576` `distribute-lft-in_binary64_9575`
2×	`add-log-exp_binary64_9665` `flip3--_binary64_9630` `associate-l/_binary64_9569` `flip--_binary64_9601` `-commutative_binary64_9557` `sub-neg_binary64_9619`
1×	`unswap-sqr_binary64_9594` `difference-of-squares_binary64_9595` `distribute-lft-out--_binary64_9578`

Counts

2 → 50

Calls

2 calls:

8.0ms	(.f64 (.f64 y (-.f64 x z)) t)
7.0ms	(*.f64 y (-.f64 x z))

Compiler

Compiled 674 to 197 computations (70.8% saved)

series454.0ms (5%)

Error

0.0b

Counts

2 → 33

Calls

2 calls:

288.0ms	(.f64 (.f64 y (-.f64 x z)) t)
151.0ms	(*.f64 y (-.f64 x z))

Compiler

Compiled 705 to 454 computations (35.6% saved)

simplify196.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

590×	`distribute-lft-neg-out_binary64_9585`
588×	`distribute-rgt-neg-out_binary64_9586`
358×	`distribute-lft-in_binary64_9575`
355×	`distribute-rgt-in_binary64_9576`
267×	`*-commutative_binary64_9557`
245×	`unsub-neg_binary64_9620`
193×	`exp-prod_binary64_9678`
173×	`associate-l_binary64_9567`
131×	`associate-r_binary64_9566`
112×	`sqr-pow_binary64_9598`
102×	`neg-sub0_binary64_9621`
97×	`neg-mul-1_binary64_9622`
81×	`swap-sqr_binary64_9593`
72×	`exp-sum_binary64_9672`
61×	`*-lft-identity_binary64_9615`
58×	`cancel-sign-sub-inv_binary64_9592`
55×	`*-rgt-identity_binary64_9616`
43×	`unswap-sqr_binary64_9594`
42×	`sub-neg_binary64_9619`
35×	`cube-prod_binary64_9654`
32×	`log-prod_binary64_9712`
29×	`pow-sqr_binary64_9599`
26×	`exp-diff_binary64_9674`
20×	`distribute-rgt-neg-in_binary64_9584`
18×	`exp-neg_binary64_9673` `mul0-rgt_binary64_9609` `mul0-lft_binary64_9608` `+-commutative_binary64_9556`
16×	`sqr-neg_binary64_9640` `difference-of-squares_binary64_9595`
14×	`div-sub_binary64_9631`
13×	`distribute-lft-neg-in_binary64_9583` `associate-+r+_binary64_9558`
10×	`associate-+r-_binary64_9560` `associate-+l+_binary64_9559`
7×	`unpow3_binary64_9692` `cube-unmult_binary64_9663`
6×	`sub0-neg_binary64_9613` `+-rgt-identity_binary64_9611` `associate-+l-_binary64_9561`
4×	`cube-mult_binary64_9656`
2×	`mul-1-neg_binary64_9618` `distribute-lft-out--_binary64_9578` `associate-/l*_binary64_9571`
1×	`prod-exp_binary64_9675` `1-exp_binary64_9670` `exp-1-e_binary64_9669` `rem-log-exp_binary64_9667` `rem-3cbrt-lft_binary64_9651` `rem-sqrt-square_binary64_9639` `rem-square-sqrt_binary64_9638` `/-rgt-identity_binary64_9617` `distribute-rgt-out--_binary64_9580` `associate-/l/_binary64_9573` `associate-*r/_binary64_9568`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_9889` `erf-erfc_binary64_9888` `erf-odd_binary64_9887` `if-if-and-not_binary64_9886` `if-if-and_binary64_9885` `if-if-or-not_binary64_9884` `if-if-or_binary64_9883` `if-not_binary64_9882` `if-same_binary64_9881` `if-false_binary64_9880` `if-true_binary64_9879` `not-gte_binary64_9878` `not-lte_binary64_9877` `not-gt_binary64_9876` `not-lt_binary64_9875` `gte-same_binary64_9874` `lte-same_binary64_9873` `gt-same_binary64_9872` `lt-same_binary64_9871` `sinh---cosh_binary64_9818` `sinh-+-cosh_binary64_9817` `sinh-cosh_binary64_9816` `tanh-def-c_binary64_9815` `tanh-def-b_binary64_9814` `tanh-def-a_binary64_9813` `cosh-def_binary64_9812` `sinh-def_binary64_9811` `tan-neg_binary64_9758` `cos-neg_binary64_9757` `sin-neg_binary64_9756` `tan-0_binary64_9755` `cos-0_binary64_9754` `sin-0_binary64_9753` `hang-m-tan_binary64_9752` `hang-p-tan_binary64_9751` `hang-m0-tan_binary64_9750` `hang-p0-tan_binary64_9749` `hang-0m-tan_binary64_9748` `hang-0p-tan_binary64_9747` `tan-+PI/2_binary64_9746` `tan-+PI_binary64_9745` `tan-PI_binary64_9744` `tan-PI/3_binary64_9743` `tan-PI/4_binary64_9742` `tan-PI/6_binary64_9741` `cos-+PI/2_binary64_9740` `cos-+PI_binary64_9739` `cos-PI_binary64_9738` `cos-PI/2_binary64_9737` `cos-PI/3_binary64_9736` `cos-PI/4_binary64_9735` `cos-PI/6_binary64_9734` `sin-+PI/2_binary64_9733` `sin-+PI_binary64_9732` `sin-PI_binary64_9731` `sin-PI/2_binary64_9730` `sin-PI/3_binary64_9729` `sin-PI/4_binary64_9728` `sin-PI/6_binary64_9727` `sub-1-sin_binary64_9726` `sub-1-cos_binary64_9725` `-1-add-sin_binary64_9724` `-1-add-cos_binary64_9723` `1-sub-sin_binary64_9722` `1-sub-cos_binary64_9721` `cos-sin-sum_binary64_9720` `log-E_binary64_9716` `log-pow_binary64_9715` `log-rec_binary64_9714` `log-div_binary64_9713` `pow-base-0_binary64_9710` `unpow1/3_binary64_9693` `unpow2_binary64_9691` `unpow1/2_binary64_9690` `pow-plus_binary64_9689` `exp-to-pow_binary64_9688` `pow-base-1_binary64_9686` `unpow0_binary64_9685` `unpow1_binary64_9684` `unpow-1_binary64_9683` `exp-lft-cube_binary64_9682` `exp-lft-sqr_binary64_9681` `exp-cbrt_binary64_9680` `exp-sqrt_binary64_9679` `div-exp_binary64_9677` `rec-exp_binary64_9676` `e-exp-1_binary64_9671` `exp-0_binary64_9668` `rem-exp-log_binary64_9666` `cube-div_binary64_9655` `cube-neg_binary64_9653` `rem-3cbrt-rft_binary64_9652` `rem-cbrt-cube_binary64_9650` `rem-cube-cbrt_binary64_9649` `sqr-abs_binary64_9641` `times-frac_binary64_9632` `remove-double-neg_binary64_9614` `--rgt-identity_binary64_9612` `+-lft-identity_binary64_9610` `div0_binary64_9607` `-inverses_binary64_9606` `+-inverses_binary64_9605` `lft-mult-inverse_binary64_9604` `rgt-mult-inverse_binary64_9603` `remove-double-div_binary64_9602` `difference-of-sqr--1_binary64_9597` `difference-of-sqr-1_binary64_9596` `cancel-sign-sub_binary64_9591` `distribute-neg-frac_binary64_9590` `distribute-frac-neg_binary64_9589` `distribute-neg-out_binary64_9588` `distribute-neg-in_binary64_9587` `distribute-rgt1-in_binary64_9582` `distribute-lft1-in_binary64_9581` `distribute-rgt-out_binary64_9579` `distribute-lft-out_binary64_9577` `count-2_binary64_9574` `associate-/r/_binary64_9572` `associate-/r_binary64_9570` `associate-*l/_binary64_9569` `associate--r-_binary64_9565` `associate--l-_binary64_9564` `associate--l+_binary64_9563` `associate--r+_binary64_9562`

Counts

83 → 132

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	105	891
1	254	798
2	851	798
3	2601	798

prune77.0ms (0.8%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	131	1	132
Fresh	0	5	5
Picked	0	1	1
Done	0	3	3
Total	131	10	141

Error

Counts

141 → 10

Compiler

Compiled 1428 to 184 computations (87.1% saved)

regimes995.0ms (10.9%)

Accuracy

Total 0.5b remaining (98.4%)

Threshold costs 0.5b (98.4%)

Compiler

Compiled 4912 to 3320 computations (32.4% saved)

bsearch2.0ms (0%)

Compiler: Compiled 7 to 7 computations (0% saved)

simplify14.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

12×	`*-commutative_binary64_9557`
5×	`sub-neg_binary64_9619` `+-commutative_binary64_9556`
3×	`neg-mul-1_binary64_9622` `neg-sub0_binary64_9621`
2×	`cancel-sign-sub-inv_binary64_9592` `distribute-rgt-neg-in_binary64_9584`
1×	`distribute-lft-neg-out_binary64_9585` `distribute-lft-neg-in_binary64_9583`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `if-if-and-not_binary64_9886` `if-if-and_binary64_9885` `if-if-or-not_binary64_9884` `if-if-or_binary64_9883` `if-not_binary64_9882` `if-same_binary64_9881` `if-false_binary64_9880` `if-true_binary64_9879` `tan-0_binary64_9755` `cos-0_binary64_9754` `sin-0_binary64_9753` `unpow1_binary64_9684` `e-exp-1_binary64_9671` `1-exp_binary64_9670` `exp-1-e_binary64_9669` `exp-0_binary64_9668` `sqr-abs_binary64_9641` `sqr-neg_binary64_9640` `unsub-neg_binary64_9620` `mul-1-neg_binary64_9618` `/-rgt-identity_binary64_9617` `-rgt-identity_binary64_9616` `-lft-identity_binary64_9615` `remove-double-neg_binary64_9614` `sub0-neg_binary64_9613` `--rgt-identity_binary64_9612` `+-rgt-identity_binary64_9611` `+-lft-identity_binary64_9610` `cancel-sign-sub_binary64_9591` `distribute-neg-frac_binary64_9590` `distribute-frac-neg_binary64_9589` `distribute-neg-out_binary64_9588` `distribute-neg-in_binary64_9587` `distribute-rgt-neg-out_binary64_9586`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	113
1	44	113
2	55	113
3	61	113
4	65	113
5	66	113

Proof

(if real (<= f64 (- f64 (* f64 h0 h1) (* f64 h2 h1)) -7061304053484175540740315884916942189215912916565799227264745753609456084889480331151311379813074602643272538057296963751345377269055022016024449513723025948672) (* f64 (* f64 h3 h1) (- f64 h0 h2)) (if real (<= f64 (- f64 (* f64 h0 h1) (* f64 h2 h1)) -3533160334359257/45184223339331479951185741475274045813621662589625240394934430893803101285779175998493982735923679951534365847972543945249972749854054255162024849415791137702892737463723457929162113159883256443580117751661352485851758592) (=> (* f64 (* f64 h1 (- f64 h0 h2)) h3)) (if real (<= f64 (- f64 (* f64 h0 h1) (* f64 h2 h1)) 1694410203817877/60060134630437601839769261564074054890494076748396028293423195126101052500953853663579281588642651046788432153477643700953461525330417946094091687253119241280317815380727220618693026799113163298559838143343221009234642712357476936954116911097916781328596992) (* f64 h1 (* f64 h3 (- f64 h0 h2))) (if real (<= f64 (- f64 (* f64 h0 h1) (* f64 h2 h1)) 1600834896909423898880109274964775763087156808192480087860310382882600526448156181203045803820905899789542226001389262297384945016419063132143311704766794394640935790465049222358126210197208182349091066492785651424994685588399517640938975204032468728079370485389624157310289524791247375844769792) (* f64 (- f64 (* f64 h0 h1) (* f64 h2 h1)) h3) (* f64 (* f64 h3 h1) (- f64 h0 h2))))))
*-commutative_binary64_9557 =>
(if real (<= f64 (- f64 (* f64 h0 h1) (* f64 h2 h1)) -7061304053484175540740315884916942189215912916565799227264745753609456084889480331151311379813074602643272538057296963751345377269055022016024449513723025948672) (* f64 (* f64 h3 h1) (- f64 h0 h2)) (if real (<= f64 (- f64 (* f64 h0 h1) (* f64 h2 h1)) -3533160334359257/45184223339331479951185741475274045813621662589625240394934430893803101285779175998493982735923679951534365847972543945249972749854054255162024849415791137702892737463723457929162113159883256443580117751661352485851758592) (* f64 h3 (* f64 h1 (- f64 h0 h2))) (if real (<= f64 (- f64 (* f64 h0 h1) (* f64 h2 h1)) 1694410203817877/60060134630437601839769261564074054890494076748396028293423195126101052500953853663579281588642651046788432153477643700953461525330417946094091687253119241280317815380727220618693026799113163298559838143343221009234642712357476936954116911097916781328596992) (* f64 h1 (* f64 h3 (- f64 h0 h2))) (if real (<= f64 (- f64 (* f64 h0 h1) (* f64 h2 h1)) 1600834896909423898880109274964775763087156808192480087860310382882600526448156181203045803820905899789542226001389262297384945016419063132143311704766794394640935790465049222358126210197208182349091066492785651424994685588399517640938975204032468728079370485389624157310289524791247375844769792) (* f64 (- f64 (* f64 h0 h1) (* f64 h2 h1)) h3) (* f64 (=> (* f64 h3 h1)) (- f64 h0 h2))))))
*-commutative_binary64_9557 =>
(if real (<= f64 (- f64 (* f64 h0 h1) (* f64 h2 h1)) -7061304053484175540740315884916942189215912916565799227264745753609456084889480331151311379813074602643272538057296963751345377269055022016024449513723025948672) (* f64 (=> (* f64 h3 h1)) (- f64 h0 h2)) (if real (<= f64 (- f64 (* f64 h0 h1) (* f64 h2 h1)) -3533160334359257/45184223339331479951185741475274045813621662589625240394934430893803101285779175998493982735923679951534365847972543945249972749854054255162024849415791137702892737463723457929162113159883256443580117751661352485851758592) (* f64 h3 (* f64 h1 (- f64 h0 h2))) (if real (<= f64 (- f64 (* f64 h0 h1) (* f64 h2 h1)) 1694410203817877/60060134630437601839769261564074054890494076748396028293423195126101052500953853663579281588642651046788432153477643700953461525330417946094091687253119241280317815380727220618693026799113163298559838143343221009234642712357476936954116911097916781328596992) (* f64 h1 (* f64 h3 (- f64 h0 h2))) (if real (<= f64 (- f64 (* f64 h0 h1) (* f64 h2 h1)) 1600834896909423898880109274964775763087156808192480087860310382882600526448156181203045803820905899789542226001389262297384945016419063132143311704766794394640935790465049222358126210197208182349091066492785651424994685588399517640938975204032468728079370485389624157310289524791247375844769792) (* f64 (- f64 (* f64 h0 h1) (* f64 h2 h1)) h3) (* f64 (* f64 h1 h3) (- f64 h0 h2))))))
*-commutative_binary64_9557 =>
(if real (<= f64 (- f64 (* f64 h0 h1) (* f64 h2 h1)) -7061304053484175540740315884916942189215912916565799227264745753609456084889480331151311379813074602643272538057296963751345377269055022016024449513723025948672) (* f64 (* f64 h1 h3) (- f64 h0 h2)) (if real (<= f64 (- f64 (* f64 h0 h1) (* f64 h2 h1)) -3533160334359257/45184223339331479951185741475274045813621662589625240394934430893803101285779175998493982735923679951534365847972543945249972749854054255162024849415791137702892737463723457929162113159883256443580117751661352485851758592) (* f64 h3 (* f64 h1 (- f64 h0 h2))) (if real (<= f64 (- f64 (* f64 h0 h1) (* f64 h2 h1)) 1694410203817877/60060134630437601839769261564074054890494076748396028293423195126101052500953853663579281588642651046788432153477643700953461525330417946094091687253119241280317815380727220618693026799113163298559838143343221009234642712357476936954116911097916781328596992) (* f64 h1 (* f64 h3 (- f64 h0 h2))) (if real (<= f64 (- f64 (* f64 h0 h1) (* f64 h2 h1)) 1600834896909423898880109274964775763087156808192480087860310382882600526448156181203045803820905899789542226001389262297384945016419063132143311704766794394640935790465049222358126210197208182349091066492785651424994685588399517640938975204032468728079370485389624157310289524791247375844769792) (* f64 (- f64 (* f64 h0 h1) (=> (* f64 h2 h1))) h3) (* f64 (* f64 h1 h3) (- f64 h0 h2))))))
*-commutative_binary64_9557 =>
(if real (<= f64 (- f64 (* f64 h0 h1) (* f64 h2 h1)) -7061304053484175540740315884916942189215912916565799227264745753609456084889480331151311379813074602643272538057296963751345377269055022016024449513723025948672) (* f64 (* f64 h1 h3) (- f64 h0 h2)) (if real (<= f64 (- f64 (* f64 h0 h1) (* f64 h2 h1)) -3533160334359257/45184223339331479951185741475274045813621662589625240394934430893803101285779175998493982735923679951534365847972543945249972749854054255162024849415791137702892737463723457929162113159883256443580117751661352485851758592) (* f64 h3 (* f64 h1 (- f64 h0 h2))) (if real (<= f64 (- f64 (* f64 h0 h1) (* f64 h2 h1)) 1694410203817877/60060134630437601839769261564074054890494076748396028293423195126101052500953853663579281588642651046788432153477643700953461525330417946094091687253119241280317815380727220618693026799113163298559838143343221009234642712357476936954116911097916781328596992) (* f64 h1 (* f64 h3 (- f64 h0 h2))) (if real (<= f64 (- f64 (* f64 h0 h1) (=> (* f64 h2 h1))) 1600834896909423898880109274964775763087156808192480087860310382882600526448156181203045803820905899789542226001389262297384945016419063132143311704766794394640935790465049222358126210197208182349091066492785651424994685588399517640938975204032468728079370485389624157310289524791247375844769792) (* f64 (- f64 (* f64 h0 h1) (* f64 h1 h2)) h3) (* f64 (* f64 h1 h3) (- f64 h0 h2))))))
*-commutative_binary64_9557 =>
(if real (<= f64 (- f64 (* f64 h0 h1) (* f64 h2 h1)) -7061304053484175540740315884916942189215912916565799227264745753609456084889480331151311379813074602643272538057296963751345377269055022016024449513723025948672) (* f64 (* f64 h1 h3) (- f64 h0 h2)) (if real (<= f64 (- f64 (* f64 h0 h1) (* f64 h2 h1)) -3533160334359257/45184223339331479951185741475274045813621662589625240394934430893803101285779175998493982735923679951534365847972543945249972749854054255162024849415791137702892737463723457929162113159883256443580117751661352485851758592) (* f64 h3 (* f64 h1 (- f64 h0 h2))) (if real (<= f64 (- f64 (* f64 h0 h1) (=> (* f64 h2 h1))) 1694410203817877/60060134630437601839769261564074054890494076748396028293423195126101052500953853663579281588642651046788432153477643700953461525330417946094091687253119241280317815380727220618693026799113163298559838143343221009234642712357476936954116911097916781328596992) (* f64 h1 (* f64 h3 (- f64 h0 h2))) (if real (<= f64 (- f64 (* f64 h0 h1) (* f64 h1 h2)) 1600834896909423898880109274964775763087156808192480087860310382882600526448156181203045803820905899789542226001389262297384945016419063132143311704766794394640935790465049222358126210197208182349091066492785651424994685588399517640938975204032468728079370485389624157310289524791247375844769792) (* f64 (- f64 (* f64 h0 h1) (* f64 h1 h2)) h3) (* f64 (* f64 h1 h3) (- f64 h0 h2))))))
*-commutative_binary64_9557 =>
(if real (<= f64 (- f64 (* f64 h0 h1) (* f64 h2 h1)) -7061304053484175540740315884916942189215912916565799227264745753609456084889480331151311379813074602643272538057296963751345377269055022016024449513723025948672) (* f64 (* f64 h1 h3) (- f64 h0 h2)) (if real (<= f64 (- f64 (* f64 h0 h1) (=> (* f64 h2 h1))) -3533160334359257/45184223339331479951185741475274045813621662589625240394934430893803101285779175998493982735923679951534365847972543945249972749854054255162024849415791137702892737463723457929162113159883256443580117751661352485851758592) (* f64 h3 (* f64 h1 (- f64 h0 h2))) (if real (<= f64 (- f64 (* f64 h0 h1) (* f64 h1 h2)) 1694410203817877/60060134630437601839769261564074054890494076748396028293423195126101052500953853663579281588642651046788432153477643700953461525330417946094091687253119241280317815380727220618693026799113163298559838143343221009234642712357476936954116911097916781328596992) (* f64 h1 (* f64 h3 (- f64 h0 h2))) (if real (<= f64 (- f64 (* f64 h0 h1) (* f64 h1 h2)) 1600834896909423898880109274964775763087156808192480087860310382882600526448156181203045803820905899789542226001389262297384945016419063132143311704766794394640935790465049222358126210197208182349091066492785651424994685588399517640938975204032468728079370485389624157310289524791247375844769792) (* f64 (- f64 (* f64 h0 h1) (* f64 h1 h2)) h3) (* f64 (* f64 h1 h3) (- f64 h0 h2))))))
*-commutative_binary64_9557 =>
(if real (<= f64 (- f64 (* f64 h0 h1) (=> (* f64 h2 h1))) -7061304053484175540740315884916942189215912916565799227264745753609456084889480331151311379813074602643272538057296963751345377269055022016024449513723025948672) (* f64 (* f64 h1 h3) (- f64 h0 h2)) (if real (<= f64 (- f64 (* f64 h0 h1) (* f64 h1 h2)) -3533160334359257/45184223339331479951185741475274045813621662589625240394934430893803101285779175998493982735923679951534365847972543945249972749854054255162024849415791137702892737463723457929162113159883256443580117751661352485851758592) (* f64 h3 (* f64 h1 (- f64 h0 h2))) (if real (<= f64 (- f64 (* f64 h0 h1) (* f64 h1 h2)) 1694410203817877/60060134630437601839769261564074054890494076748396028293423195126101052500953853663579281588642651046788432153477643700953461525330417946094091687253119241280317815380727220618693026799113163298559838143343221009234642712357476936954116911097916781328596992) (* f64 h1 (* f64 h3 (- f64 h0 h2))) (if real (<= f64 (- f64 (* f64 h0 h1) (* f64 h1 h2)) 1600834896909423898880109274964775763087156808192480087860310382882600526448156181203045803820905899789542226001389262297384945016419063132143311704766794394640935790465049222358126210197208182349091066492785651424994685588399517640938975204032468728079370485389624157310289524791247375844769792) (* f64 (- f64 (* f64 h0 h1) (* f64 h1 h2)) h3) (* f64 (* f64 h1 h3) (- f64 h0 h2))))))
*-commutative_binary64_9557 =>
(if real (<= f64 (- f64 (* f64 h0 h1) (* f64 h1 h2)) -7061304053484175540740315884916942189215912916565799227264745753609456084889480331151311379813074602643272538057296963751345377269055022016024449513723025948672) (* f64 (* f64 h1 h3) (- f64 h0 h2)) (if real (<= f64 (- f64 (* f64 h0 h1) (* f64 h1 h2)) -3533160334359257/45184223339331479951185741475274045813621662589625240394934430893803101285779175998493982735923679951534365847972543945249972749854054255162024849415791137702892737463723457929162113159883256443580117751661352485851758592) (* f64 h3 (* f64 h1 (- f64 h0 h2))) (if real (<= f64 (- f64 (* f64 h0 h1) (* f64 h1 h2)) 1694410203817877/60060134630437601839769261564074054890494076748396028293423195126101052500953853663579281588642651046788432153477643700953461525330417946094091687253119241280317815380727220618693026799113163298559838143343221009234642712357476936954116911097916781328596992) (* f64 h1 (* f64 h3 (- f64 h0 h2))) (if real (<= f64 (- f64 (* f64 h0 h1) (* f64 h1 h2)) 1600834896909423898880109274964775763087156808192480087860310382882600526448156181203045803820905899789542226001389262297384945016419063132143311704766794394640935790465049222358126210197208182349091066492785651424994685588399517640938975204032468728079370485389624157310289524791247375844769792) (* f64 (- f64 (* f64 h0 h1) (* f64 h1 h2)) h3) (* f64 (* f64 h1 h3) (- f64 h0 h2))))))

end0.0ms (0%)

sample1.5s (16%)

Algorithm

1×

intervals

Results

255.0ms	8000×	body	128	valid
55.0ms	1926×	body	128	invalid

Compiler

Compiled 928 to 600 computations (35.3% saved)

Details

analyze659.0ms (7.2%)

sample23.0ms (0.3%)

simplify591.0ms (6.5%)

prune14.0ms (0.2%)

localize6.0ms (0.1%)

rewrite39.0ms (0.4%)

series295.0ms (3.2%)

simplify177.0ms (1.9%)

prune159.0ms (1.7%)

localize10.0ms (0.1%)

rewrite199.0ms (2.2%)

series1.4s (15.6%)

simplify746.0ms (8.2%)

prune621.0ms (6.8%)

localize12.0ms (0.1%)

rewrite64.0ms (0.7%)

series441.0ms (4.8%)

simplify268.0ms (2.9%)

prune118.0ms (1.3%)

localize5.0ms (0.1%)

rewrite54.0ms (0.6%)

series454.0ms (5%)

simplify196.0ms (2.2%)

prune77.0ms (0.8%)

regimes995.0ms (10.9%)

bsearch2.0ms (0%)

simplify14.0ms (0.2%)

end0.0ms (0%)

sample1.5s (16%)

Profiling