Details

analyze1.1s (9.7%)

Algorithm

1×	search
2×	egg-herbie

Rules

921×	`div-sub_binary64_17133`
612×	`unsub-neg_binary64_17122`
465×	`neg-mul-1_binary64_17124`
373×	`sub-neg_binary64_17121`
297×	`distribute-rgt-in_binary64_17078`
290×	`neg-sub0_binary64_17123`
262×	`times-frac_binary64_17134`
249×	`cancel-sign-sub-inv_binary64_17094`
241×	`distribute-frac-neg_binary64_17091`
218×	`distribute-lft-in_binary64_17077`
151×	`+-commutative_binary64_17058`
146×	`associate-+r+_binary64_17060`
132×	`associate-+l+_binary64_17061`
128×	`distribute-rgt-neg-out_binary64_17088`
116×	`associate-/l*_binary64_17073`
92×	`associate--r+_binary64_17064`
82×	`*-commutative_binary64_17059`
66×	`distribute-neg-in_binary64_17089`
63×	`mul0-rgt_binary64_17111` `mul0-lft_binary64_17110`
56×	`associate-+l-_binary64_17063`
54×	`associate-/r/_binary64_17074`
51×	`associate-*l/_binary64_17071`
45×	`associate-r_binary64_17068`
44×	`associate-+r-_binary64_17062`
42×	`distribute-neg-frac_binary64_17092`
41×	`associate-*r/_binary64_17070`
37×	`distribute-lft-neg-out_binary64_17087`
34×	`sub0-neg_binary64_17115`
28×	`associate-l_binary64_17069`
27×	`div0_binary64_17109`
26×	`+-rgt-identity_binary64_17113`
25×	`associate--r-_binary64_17067`
20×	`distribute-lft-neg-in_binary64_17085`
19×	`distribute-neg-out_binary64_17090`
16×	`remove-double-neg_binary64_17116` `distribute-rgt-neg-in_binary64_17086`
10×	`mul-1-neg_binary64_17120`
6×	`associate--l+_binary64_17065`
3×	`*-lft-identity_binary64_17117` `+-lft-identity_binary64_17112`
1×	`1-exp_binary64_17172`
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_17391` `erf-erfc_binary64_17390` `erf-odd_binary64_17389` `if-if-and-not_binary64_17388` `if-if-and_binary64_17387` `if-if-or-not_binary64_17386` `if-if-or_binary64_17385` `if-not_binary64_17384` `if-same_binary64_17383` `if-false_binary64_17382` `if-true_binary64_17381` `not-gte_binary64_17380` `not-lte_binary64_17379` `not-gt_binary64_17378` `not-lt_binary64_17377` `gte-same_binary64_17376` `lte-same_binary64_17375` `gt-same_binary64_17374` `lt-same_binary64_17373` `sinh---cosh_binary64_17320` `sinh-+-cosh_binary64_17319` `sinh-cosh_binary64_17318` `tanh-def-c_binary64_17317` `tanh-def-b_binary64_17316` `tanh-def-a_binary64_17315` `cosh-def_binary64_17314` `sinh-def_binary64_17313` `tan-neg_binary64_17260` `cos-neg_binary64_17259` `sin-neg_binary64_17258` `tan-0_binary64_17257` `cos-0_binary64_17256` `sin-0_binary64_17255` `hang-m-tan_binary64_17254` `hang-p-tan_binary64_17253` `hang-m0-tan_binary64_17252` `hang-p0-tan_binary64_17251` `hang-0m-tan_binary64_17250` `hang-0p-tan_binary64_17249` `tan-+PI/2_binary64_17248` `tan-+PI_binary64_17247` `tan-PI_binary64_17246` `tan-PI/3_binary64_17245` `tan-PI/4_binary64_17244` `tan-PI/6_binary64_17243` `cos-+PI/2_binary64_17242` `cos-+PI_binary64_17241` `cos-PI_binary64_17240` `cos-PI/2_binary64_17239` `cos-PI/3_binary64_17238` `cos-PI/4_binary64_17237` `cos-PI/6_binary64_17236` `sin-+PI/2_binary64_17235` `sin-+PI_binary64_17234` `sin-PI_binary64_17233` `sin-PI/2_binary64_17232` `sin-PI/3_binary64_17231` `sin-PI/4_binary64_17230` `sin-PI/6_binary64_17229` `sub-1-sin_binary64_17228` `sub-1-cos_binary64_17227` `-1-add-sin_binary64_17226` `-1-add-cos_binary64_17225` `1-sub-sin_binary64_17224` `1-sub-cos_binary64_17223` `cos-sin-sum_binary64_17222` `log-E_binary64_17218` `log-pow_binary64_17217` `log-rec_binary64_17216` `log-div_binary64_17215` `log-prod_binary64_17214` `pow-base-0_binary64_17212` `unpow1/3_binary64_17195` `unpow3_binary64_17194` `unpow2_binary64_17193` `unpow1/2_binary64_17192` `pow-plus_binary64_17191` `exp-to-pow_binary64_17190` `pow-base-1_binary64_17188` `unpow0_binary64_17187` `unpow1_binary64_17186` `unpow-1_binary64_17185` `exp-lft-cube_binary64_17184` `exp-lft-sqr_binary64_17183` `exp-cbrt_binary64_17182` `exp-sqrt_binary64_17181` `exp-prod_binary64_17180` `div-exp_binary64_17179` `rec-exp_binary64_17178` `prod-exp_binary64_17177` `exp-diff_binary64_17176` `exp-neg_binary64_17175` `exp-sum_binary64_17174` `e-exp-1_binary64_17173` `exp-1-e_binary64_17171` `exp-0_binary64_17170` `rem-log-exp_binary64_17169` `rem-exp-log_binary64_17168` `cube-unmult_binary64_17165` `cube-mult_binary64_17158` `cube-div_binary64_17157` `cube-prod_binary64_17156` `cube-neg_binary64_17155` `rem-3cbrt-rft_binary64_17154` `rem-3cbrt-lft_binary64_17153` `rem-cbrt-cube_binary64_17152` `rem-cube-cbrt_binary64_17151` `sqr-abs_binary64_17143` `sqr-neg_binary64_17142` `rem-sqrt-square_binary64_17141` `rem-square-sqrt_binary64_17140` `/-rgt-identity_binary64_17119` `-rgt-identity_binary64_17118` `--rgt-identity_binary64_17114` `-inverses_binary64_17108` `+-inverses_binary64_17107` `lft-mult-inverse_binary64_17106` `rgt-mult-inverse_binary64_17105` `remove-double-div_binary64_17104` `pow-sqr_binary64_17101` `sqr-pow_binary64_17100` `difference-of-sqr--1_binary64_17099` `difference-of-sqr-1_binary64_17098` `difference-of-squares_binary64_17097` `unswap-sqr_binary64_17096` `swap-sqr_binary64_17095` `cancel-sign-sub_binary64_17093` `distribute-rgt1-in_binary64_17084` `distribute-lft1-in_binary64_17083` `distribute-rgt-out--_binary64_17082` `distribute-rgt-out_binary64_17081` `distribute-lft-out--_binary64_17080` `distribute-lft-out_binary64_17079` `count-2_binary64_17076` `associate-/l/_binary64_17075` `associate-/r*_binary64_17072` `associate--l-_binary64_17066`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	176
1	109	176
2	250	176
3	509	176
4	1098	176
5	2418	176
6	4309	176
7	4887	176
0	5	5
1	5	5

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
0%	99.8%	0.2%	9
4.7%	95.1%	0.2%	10
12.7%	87.1%	0.2%	11
15.9%	83.9%	0.2%	12
24.9%	74.9%	0.2%	13
26.2%	73.6%	0.2%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample25.0ms (0.2%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
1.0ms	23×	body	128	invalid

Compiler

Compiled 23 to 26 computations (-13% saved)

simplify293.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

986×	`div-sub_binary64_17133`
977×	`distribute-rgt-in_binary64_17078`
929×	`distribute-lft-in_binary64_17077`
814×	`sub-neg_binary64_17121`
582×	`times-frac_binary64_17134`
351×	`neg-mul-1_binary64_17124`
338×	`unsub-neg_binary64_17122`
335×	`associate-/l_binary64_17073` `-commutative_binary64_17059`
333×	`neg-sub0_binary64_17123`
325×	`distribute-neg-frac_binary64_17092`
303×	`distribute-rgt-neg-in_binary64_17086`
280×	`distribute-rgt-neg-out_binary64_17088`
266×	`distribute-lft-neg-in_binary64_17085`
252×	`associate-/r*_binary64_17072`
242×	`distribute-lft-neg-out_binary64_17087`
212×	`associate--r+_binary64_17064`
210×	`cancel-sign-sub-inv_binary64_17094`
200×	`associate-/r/_binary64_17074`
188×	`associate-/l/_binary64_17075`
182×	`associate-*l/_binary64_17071`
171×	`distribute-frac-neg_binary64_17091`
139×	`associate-r_binary64_17068`
130×	`remove-double-neg_binary64_17116`
124×	`associate-*r/_binary64_17070`
123×	`associate--r-_binary64_17067`
108×	`associate-l_binary64_17069`
106×	`+-commutative_binary64_17058`
68×	`distribute-rgt-out--_binary64_17082`
67×	`distribute-neg-in_binary64_17089`
66×	`associate--l+_binary64_17065` `associate-+l+_binary64_17061`
63×	`associate-+r+_binary64_17060`
58×	`div0_binary64_17109`
51×	`+-rgt-identity_binary64_17113`
48×	`distribute-neg-out_binary64_17090` `associate-+r-_binary64_17062`
45×	`distribute-rgt-out_binary64_17081`
38×	`associate-+l-_binary64_17063`
35×	`associate--l-_binary64_17066`
34×	`--rgt-identity_binary64_17114`
29×	`distribute-lft-out--_binary64_17080`
26×	`mul0-rgt_binary64_17111`
25×	`*-lft-identity_binary64_17117`
23×	`/-rgt-identity_binary64_17119` `*-rgt-identity_binary64_17118` `sub0-neg_binary64_17115`
21×	`mul0-lft_binary64_17110`
20×	`distribute-lft-out_binary64_17079`
17×	`cancel-sign-sub_binary64_17093`
15×	`+-lft-identity_binary64_17112`
12×	`remove-double-div_binary64_17104`
2×	`*-inverses_binary64_17108` `swap-sqr_binary64_17095`
1×	`1-exp_binary64_17172` `sqr-neg_binary64_17142` `mul-1-neg_binary64_17120` `lft-mult-inverse_binary64_17106` `rgt-mult-inverse_binary64_17105` `distribute-rgt1-in_binary64_17084`
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_17391` `erf-erfc_binary64_17390` `erf-odd_binary64_17389` `if-if-and-not_binary64_17388` `if-if-and_binary64_17387` `if-if-or-not_binary64_17386` `if-if-or_binary64_17385` `if-not_binary64_17384` `if-same_binary64_17383` `if-false_binary64_17382` `if-true_binary64_17381` `not-gte_binary64_17380` `not-lte_binary64_17379` `not-gt_binary64_17378` `not-lt_binary64_17377` `gte-same_binary64_17376` `lte-same_binary64_17375` `gt-same_binary64_17374` `lt-same_binary64_17373` `sinh---cosh_binary64_17320` `sinh-+-cosh_binary64_17319` `sinh-cosh_binary64_17318` `tanh-def-c_binary64_17317` `tanh-def-b_binary64_17316` `tanh-def-a_binary64_17315` `cosh-def_binary64_17314` `sinh-def_binary64_17313` `tan-neg_binary64_17260` `cos-neg_binary64_17259` `sin-neg_binary64_17258` `tan-0_binary64_17257` `cos-0_binary64_17256` `sin-0_binary64_17255` `hang-m-tan_binary64_17254` `hang-p-tan_binary64_17253` `hang-m0-tan_binary64_17252` `hang-p0-tan_binary64_17251` `hang-0m-tan_binary64_17250` `hang-0p-tan_binary64_17249` `tan-+PI/2_binary64_17248` `tan-+PI_binary64_17247` `tan-PI_binary64_17246` `tan-PI/3_binary64_17245` `tan-PI/4_binary64_17244` `tan-PI/6_binary64_17243` `cos-+PI/2_binary64_17242` `cos-+PI_binary64_17241` `cos-PI_binary64_17240` `cos-PI/2_binary64_17239` `cos-PI/3_binary64_17238` `cos-PI/4_binary64_17237` `cos-PI/6_binary64_17236` `sin-+PI/2_binary64_17235` `sin-+PI_binary64_17234` `sin-PI_binary64_17233` `sin-PI/2_binary64_17232` `sin-PI/3_binary64_17231` `sin-PI/4_binary64_17230` `sin-PI/6_binary64_17229` `sub-1-sin_binary64_17228` `sub-1-cos_binary64_17227` `-1-add-sin_binary64_17226` `-1-add-cos_binary64_17225` `1-sub-sin_binary64_17224` `1-sub-cos_binary64_17223` `cos-sin-sum_binary64_17222` `log-E_binary64_17218` `log-pow_binary64_17217` `log-rec_binary64_17216` `log-div_binary64_17215` `log-prod_binary64_17214` `pow-base-0_binary64_17212` `unpow1/3_binary64_17195` `unpow3_binary64_17194` `unpow2_binary64_17193` `unpow1/2_binary64_17192` `pow-plus_binary64_17191` `exp-to-pow_binary64_17190` `pow-base-1_binary64_17188` `unpow0_binary64_17187` `unpow1_binary64_17186` `unpow-1_binary64_17185` `exp-lft-cube_binary64_17184` `exp-lft-sqr_binary64_17183` `exp-cbrt_binary64_17182` `exp-sqrt_binary64_17181` `exp-prod_binary64_17180` `div-exp_binary64_17179` `rec-exp_binary64_17178` `prod-exp_binary64_17177` `exp-diff_binary64_17176` `exp-neg_binary64_17175` `exp-sum_binary64_17174` `e-exp-1_binary64_17173` `exp-1-e_binary64_17171` `exp-0_binary64_17170` `rem-log-exp_binary64_17169` `rem-exp-log_binary64_17168` `cube-unmult_binary64_17165` `cube-mult_binary64_17158` `cube-div_binary64_17157` `cube-prod_binary64_17156` `cube-neg_binary64_17155` `rem-3cbrt-rft_binary64_17154` `rem-3cbrt-lft_binary64_17153` `rem-cbrt-cube_binary64_17152` `rem-cube-cbrt_binary64_17151` `sqr-abs_binary64_17143` `rem-sqrt-square_binary64_17141` `rem-square-sqrt_binary64_17140` `+-inverses_binary64_17107` `pow-sqr_binary64_17101` `sqr-pow_binary64_17100` `difference-of-sqr--1_binary64_17099` `difference-of-sqr-1_binary64_17098` `difference-of-squares_binary64_17097` `unswap-sqr_binary64_17096` `distribute-lft1-in_binary64_17083` `count-2_binary64_17076`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	16
1	18	16
2	37	16
3	73	16
4	146	16
5	245	16
6	547	16
7	1326	16
8	2770	16
9	2936	16
10	3313	16
11	3370	16
12	3382	16
13	3443	16
14	3706	16
15	3616	16
16	3852	16
17	3844	16
18	3882	16
19	3882	16
20	3920	16
21	3920	16
22	5693	16

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	0	0
Total	1	1

Error

9.2b

Counts

1 → 1

Compiler

Compiled 11 to 10 computations (9.1% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) (-.f64 a t)))
0.0b	(*.f64 y (-.f64 z t))
9.6b	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 a t))

rewrite109.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

17×	`add-sqr-sqrt_binary64_17150` `*-un-lft-identity_binary64_17128`
10×	`add-exp-log_binary64_17166` `add-cbrt-cube_binary64_17164`
9×	`add-cube-cbrt_binary64_17163`
6×	`cancel-sign-sub-inv_binary64_17094`
5×	`pow1_binary64_17189` `add-log-exp_binary64_17167` `times-frac_binary64_17134` `associate-/r_binary64_17072` `associate-r*_binary64_17068`
4×	`associate-*r/_binary64_17070` `distribute-rgt-in_binary64_17078` `distribute-lft-in_binary64_17077`
3×	`difference-of-squares_binary64_17097` `distribute-lft-out--_binary64_17080` `flip3--_binary64_17132` `flip--_binary64_17103` `associate-l_binary64_17069`
2×	`prod-exp_binary64_17177` `div-exp_binary64_17179` `cbrt-undiv_binary64_17162` `cbrt-unprod_binary64_17161` `associate-/l/_binary64_17075` `associate-/r/_binary64_17074` `sub-neg_binary64_17121`
1×	`frac-2neg_binary64_17139` `clear-num_binary64_17127` `div-inv_binary64_17125` `associate-/l_binary64_17073` `pow-prod-down_binary64_17199` `unswap-sqr_binary64_17096` `-commutative_binary64_17059` `sum-log_binary64_17219` `flip3-+_binary64_17131` `flip-+_binary64_17102` `distribute-lft-out_binary64_17079` `+-commutative_binary64_17058`

Counts

3 → 71

Calls

3 calls:

13.0ms	(*.f64 y (-.f64 z t))
11.0ms	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 a t))
8.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) (-.f64 a t)))

Compiler

Compiled 1337 to 337 computations (74.8% saved)

series1.2s (10.9%)

Error

0.3b

Counts

3 → 70

Calls

3 calls:

674.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) (-.f64 a t)))
376.0ms	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 a t))
137.0ms	(*.f64 y (-.f64 z t))

Compiler

Compiled 2888 to 1655 computations (42.7% saved)

simplify134.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

487×	`distribute-rgt-in_binary64_17078`
463×	`distribute-lft-in_binary64_17077`
307×	`associate-/l/_binary64_17075`
182×	`cancel-sign-sub-inv_binary64_17094`
158×	`exp-prod_binary64_17180`
138×	`sub-neg_binary64_17121`
119×	`div-sub_binary64_17133` `associate-/l*_binary64_17073`
99×	`associate-l_binary64_17069`
90×	`associate-r_binary64_17068`
85×	`*-commutative_binary64_17059`
73×	`distribute-rgt-neg-in_binary64_17086`
71×	`+-commutative_binary64_17058`
70×	`times-frac_binary64_17134`
69×	`distribute-neg-frac_binary64_17092`
58×	`associate--l+_binary64_17065`
57×	`distribute-lft-neg-in_binary64_17085` `associate-*l/_binary64_17071`
49×	`distribute-lft-neg-out_binary64_17087`
48×	`log-div_binary64_17215`
46×	`associate-*r/_binary64_17070`
45×	`neg-sub0_binary64_17123`
44×	`distribute-rgt-neg-out_binary64_17088`
43×	`log-prod_binary64_17214`
41×	`neg-mul-1_binary64_17124`
40×	`associate-/r*_binary64_17072`
37×	`sqr-pow_binary64_17100`
35×	`*-rgt-identity_binary64_17118`
33×	`associate-/r/_binary64_17074`
30×	`associate-+l+_binary64_17061`
24×	`distribute-neg-in_binary64_17089` `associate--r+_binary64_17064`
23×	`cube-div_binary64_17157`
22×	`*-lft-identity_binary64_17117`
19×	`unpow3_binary64_17194` `unsub-neg_binary64_17122`
17×	`cube-prod_binary64_17156` `/-rgt-identity_binary64_17119`
15×	`distribute-rgt-out_binary64_17081`
14×	`distribute-rgt-out--_binary64_17082` `associate-+r+_binary64_17060`
13×	`log-rec_binary64_17216`
11×	`exp-sum_binary64_17174` `swap-sqr_binary64_17095`
10×	`unswap-sqr_binary64_17096`
8×	`cube-mult_binary64_17158` `difference-of-squares_binary64_17097`
6×	`exp-diff_binary64_17176`
4×	`cube-unmult_binary64_17165` `mul-1-neg_binary64_17120` `remove-double-neg_binary64_17116` `distribute-rgt1-in_binary64_17084` `associate-+r-_binary64_17062`
3×	`unpow1/2_binary64_17192` `+-rgt-identity_binary64_17113` `cancel-sign-sub_binary64_17093`
2×	`unpow2_binary64_17193` `pow-plus_binary64_17191` `unpow1_binary64_17186` `exp-neg_binary64_17175` `rem-sqrt-square_binary64_17141` `distribute-lft-out--_binary64_17080` `associate--r-_binary64_17067`
1×	`prod-exp_binary64_17177` `1-exp_binary64_17172` `exp-1-e_binary64_17171` `rem-3cbrt-lft_binary64_17153` `rem-square-sqrt_binary64_17140` `div0_binary64_17109` `pow-sqr_binary64_17101` `distribute-frac-neg_binary64_17091` `distribute-lft1-in_binary64_17083` `associate-+l-_binary64_17063`
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_17391` `erf-erfc_binary64_17390` `erf-odd_binary64_17389` `if-if-and-not_binary64_17388` `if-if-and_binary64_17387` `if-if-or-not_binary64_17386` `if-if-or_binary64_17385` `if-not_binary64_17384` `if-same_binary64_17383` `if-false_binary64_17382` `if-true_binary64_17381` `not-gte_binary64_17380` `not-lte_binary64_17379` `not-gt_binary64_17378` `not-lt_binary64_17377` `gte-same_binary64_17376` `lte-same_binary64_17375` `gt-same_binary64_17374` `lt-same_binary64_17373` `sinh---cosh_binary64_17320` `sinh-+-cosh_binary64_17319` `sinh-cosh_binary64_17318` `tanh-def-c_binary64_17317` `tanh-def-b_binary64_17316` `tanh-def-a_binary64_17315` `cosh-def_binary64_17314` `sinh-def_binary64_17313` `tan-neg_binary64_17260` `cos-neg_binary64_17259` `sin-neg_binary64_17258` `tan-0_binary64_17257` `cos-0_binary64_17256` `sin-0_binary64_17255` `hang-m-tan_binary64_17254` `hang-p-tan_binary64_17253` `hang-m0-tan_binary64_17252` `hang-p0-tan_binary64_17251` `hang-0m-tan_binary64_17250` `hang-0p-tan_binary64_17249` `tan-+PI/2_binary64_17248` `tan-+PI_binary64_17247` `tan-PI_binary64_17246` `tan-PI/3_binary64_17245` `tan-PI/4_binary64_17244` `tan-PI/6_binary64_17243` `cos-+PI/2_binary64_17242` `cos-+PI_binary64_17241` `cos-PI_binary64_17240` `cos-PI/2_binary64_17239` `cos-PI/3_binary64_17238` `cos-PI/4_binary64_17237` `cos-PI/6_binary64_17236` `sin-+PI/2_binary64_17235` `sin-+PI_binary64_17234` `sin-PI_binary64_17233` `sin-PI/2_binary64_17232` `sin-PI/3_binary64_17231` `sin-PI/4_binary64_17230` `sin-PI/6_binary64_17229` `sub-1-sin_binary64_17228` `sub-1-cos_binary64_17227` `-1-add-sin_binary64_17226` `-1-add-cos_binary64_17225` `1-sub-sin_binary64_17224` `1-sub-cos_binary64_17223` `cos-sin-sum_binary64_17222` `log-E_binary64_17218` `log-pow_binary64_17217` `pow-base-0_binary64_17212` `unpow1/3_binary64_17195` `exp-to-pow_binary64_17190` `pow-base-1_binary64_17188` `unpow0_binary64_17187` `unpow-1_binary64_17185` `exp-lft-cube_binary64_17184` `exp-lft-sqr_binary64_17183` `exp-cbrt_binary64_17182` `exp-sqrt_binary64_17181` `div-exp_binary64_17179` `rec-exp_binary64_17178` `e-exp-1_binary64_17173` `exp-0_binary64_17170` `rem-log-exp_binary64_17169` `rem-exp-log_binary64_17168` `cube-neg_binary64_17155` `rem-3cbrt-rft_binary64_17154` `rem-cbrt-cube_binary64_17152` `rem-cube-cbrt_binary64_17151` `sqr-abs_binary64_17143` `sqr-neg_binary64_17142` `sub0-neg_binary64_17115` `--rgt-identity_binary64_17114` `+-lft-identity_binary64_17112` `mul0-rgt_binary64_17111` `mul0-lft_binary64_17110` `*-inverses_binary64_17108` `+-inverses_binary64_17107` `lft-mult-inverse_binary64_17106` `rgt-mult-inverse_binary64_17105` `remove-double-div_binary64_17104` `difference-of-sqr--1_binary64_17099` `difference-of-sqr-1_binary64_17098` `distribute-neg-out_binary64_17090` `distribute-lft-out_binary64_17079` `count-2_binary64_17076` `associate--l-_binary64_17066`

Counts

141 → 97

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	201	2280
1	549	2079
2	1929	2019
3	4810	2019
4	4995	2019
5	4978	2019

prune89.0ms (0.8%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	90	7	97
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	91	7	98

Error

0.0b

Counts

98 → 7

Compiler

Compiled 1602 to 353 computations (78% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 a t))))
0.1b	(/.f64 (-.f64 z t) (-.f64 a t))
2.7b	(*.f64 y (/.f64 (-.f64 z t) (-.f64 a t)))

rewrite159.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

76×	`add-sqr-sqrt_binary64_17150`
71×	`*-un-lft-identity_binary64_17128`
51×	`times-frac_binary64_17134`
31×	`associate-r_binary64_17068`
27×	`add-cube-cbrt_binary64_17163`
22×	`difference-of-squares_binary64_17097` `distribute-lft-out--_binary64_17080`
10×	`add-exp-log_binary64_17166` `add-cbrt-cube_binary64_17164`
5×	`pow1_binary64_17189` `add-log-exp_binary64_17167` `associate-/l_binary64_17073` `associate-/r_binary64_17072`
4×	`associate-/r/_binary64_17074`
3×	`associate-l_binary64_17069` `flip3--_binary64_17132` `flip--_binary64_17103`
2×	`div-exp_binary64_17179` `prod-exp_binary64_17177` `cbrt-unprod_binary64_17161` `cbrt-undiv_binary64_17162` `unswap-sqr_binary64_17096` `div-inv_binary64_17125` `associate-/l/_binary64_17075`
1×	`pow-prod-down_binary64_17199` `associate-r/_binary64_17070` `-commutative_binary64_17059` `frac-2neg_binary64_17139` `div-sub_binary64_17133` `clear-num_binary64_17127` `sum-log_binary64_17219` `flip3-+_binary64_17131` `flip-+_binary64_17102` `+-commutative_binary64_17058`

Counts

3 → 113

Calls

3 calls:

21.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 a t)))
10.0ms	(/.f64 (-.f64 z t) (-.f64 a t))
4.0ms	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 a t))))

Compiler

Compiled 2369 to 535 computations (77.4% saved)

series1.3s (11.4%)

Error

0.0b

Counts

3 → 76

Calls

3 calls:

642.0ms	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 a t))))
349.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 a t)))
251.0ms	(/.f64 (-.f64 z t) (-.f64 a t))

Compiler

Compiled 3428 to 2051 computations (40.2% saved)

simplify106.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

497×	`distribute-rgt-in_binary64_17078`
470×	`times-frac_binary64_17134` `distribute-lft-in_binary64_17077`
205×	`cancel-sign-sub-inv_binary64_17094`
177×	`sub-neg_binary64_17121`
116×	`associate-l_binary64_17069`
112×	`associate-r_binary64_17068`
110×	`associate-/l*_binary64_17073`
94×	`+-commutative_binary64_17058`
92×	`*-commutative_binary64_17059`
84×	`associate--l+_binary64_17065`
83×	`div-sub_binary64_17133`
77×	`distribute-neg-frac_binary64_17092`
75×	`associate-*r/_binary64_17070`
71×	`distribute-rgt-neg-in_binary64_17086`
59×	`neg-sub0_binary64_17123`
55×	`distribute-lft-neg-in_binary64_17085`
52×	`neg-mul-1_binary64_17124`
49×	`associate-*l/_binary64_17071`
47×	`associate-/r*_binary64_17072`
43×	`*-rgt-identity_binary64_17118` `distribute-lft-neg-out_binary64_17087`
41×	`associate-/l/_binary64_17075`
40×	`associate--r+_binary64_17064`
39×	`associate-+l+_binary64_17061`
34×	`sqr-pow_binary64_17100`
32×	`distribute-rgt-neg-out_binary64_17088`
31×	`distribute-neg-in_binary64_17089`
30×	`*-lft-identity_binary64_17117`
27×	`distribute-rgt-out_binary64_17081` `associate-/r/_binary64_17074`
23×	`unsub-neg_binary64_17122`
20×	`distribute-rgt-out--_binary64_17082`
18×	`unswap-sqr_binary64_17096` `associate-+r+_binary64_17060`
15×	`cube-prod_binary64_17156`
13×	`/-rgt-identity_binary64_17119`
12×	`log-prod_binary64_17214`
11×	`log-div_binary64_17215` `cube-div_binary64_17157`
10×	`exp-prod_binary64_17180`
9×	`exp-sum_binary64_17174` `distribute-rgt1-in_binary64_17084`
8×	`unpow3_binary64_17194`
7×	`mul-1-neg_binary64_17120`
6×	`cube-mult_binary64_17158`
5×	`difference-of-squares_binary64_17097`
4×	`exp-diff_binary64_17176` `swap-sqr_binary64_17095` `distribute-lft-out--_binary64_17080` `distribute-lft-out_binary64_17079`
3×	`cube-unmult_binary64_17165`
2×	`unpow2_binary64_17193` `unpow1/2_binary64_17192` `unpow1_binary64_17186` `rem-sqrt-square_binary64_17141` `associate--r-_binary64_17067` `associate-+l-_binary64_17063` `associate-+r-_binary64_17062`
1×	`prod-exp_binary64_17177` `1-exp_binary64_17172` `exp-1-e_binary64_17171` `remove-double-neg_binary64_17116` `div0_binary64_17109` `*-inverses_binary64_17108` `pow-sqr_binary64_17101` `distribute-lft1-in_binary64_17083`
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_17391` `erf-erfc_binary64_17390` `erf-odd_binary64_17389` `if-if-and-not_binary64_17388` `if-if-and_binary64_17387` `if-if-or-not_binary64_17386` `if-if-or_binary64_17385` `if-not_binary64_17384` `if-same_binary64_17383` `if-false_binary64_17382` `if-true_binary64_17381` `not-gte_binary64_17380` `not-lte_binary64_17379` `not-gt_binary64_17378` `not-lt_binary64_17377` `gte-same_binary64_17376` `lte-same_binary64_17375` `gt-same_binary64_17374` `lt-same_binary64_17373` `sinh---cosh_binary64_17320` `sinh-+-cosh_binary64_17319` `sinh-cosh_binary64_17318` `tanh-def-c_binary64_17317` `tanh-def-b_binary64_17316` `tanh-def-a_binary64_17315` `cosh-def_binary64_17314` `sinh-def_binary64_17313` `tan-neg_binary64_17260` `cos-neg_binary64_17259` `sin-neg_binary64_17258` `tan-0_binary64_17257` `cos-0_binary64_17256` `sin-0_binary64_17255` `hang-m-tan_binary64_17254` `hang-p-tan_binary64_17253` `hang-m0-tan_binary64_17252` `hang-p0-tan_binary64_17251` `hang-0m-tan_binary64_17250` `hang-0p-tan_binary64_17249` `tan-+PI/2_binary64_17248` `tan-+PI_binary64_17247` `tan-PI_binary64_17246` `tan-PI/3_binary64_17245` `tan-PI/4_binary64_17244` `tan-PI/6_binary64_17243` `cos-+PI/2_binary64_17242` `cos-+PI_binary64_17241` `cos-PI_binary64_17240` `cos-PI/2_binary64_17239` `cos-PI/3_binary64_17238` `cos-PI/4_binary64_17237` `cos-PI/6_binary64_17236` `sin-+PI/2_binary64_17235` `sin-+PI_binary64_17234` `sin-PI_binary64_17233` `sin-PI/2_binary64_17232` `sin-PI/3_binary64_17231` `sin-PI/4_binary64_17230` `sin-PI/6_binary64_17229` `sub-1-sin_binary64_17228` `sub-1-cos_binary64_17227` `-1-add-sin_binary64_17226` `-1-add-cos_binary64_17225` `1-sub-sin_binary64_17224` `1-sub-cos_binary64_17223` `cos-sin-sum_binary64_17222` `log-E_binary64_17218` `log-pow_binary64_17217` `log-rec_binary64_17216` `pow-base-0_binary64_17212` `unpow1/3_binary64_17195` `pow-plus_binary64_17191` `exp-to-pow_binary64_17190` `pow-base-1_binary64_17188` `unpow0_binary64_17187` `unpow-1_binary64_17185` `exp-lft-cube_binary64_17184` `exp-lft-sqr_binary64_17183` `exp-cbrt_binary64_17182` `exp-sqrt_binary64_17181` `div-exp_binary64_17179` `rec-exp_binary64_17178` `exp-neg_binary64_17175` `e-exp-1_binary64_17173` `exp-0_binary64_17170` `rem-log-exp_binary64_17169` `rem-exp-log_binary64_17168` `cube-neg_binary64_17155` `rem-3cbrt-rft_binary64_17154` `rem-3cbrt-lft_binary64_17153` `rem-cbrt-cube_binary64_17152` `rem-cube-cbrt_binary64_17151` `sqr-abs_binary64_17143` `sqr-neg_binary64_17142` `rem-square-sqrt_binary64_17140` `sub0-neg_binary64_17115` `--rgt-identity_binary64_17114` `+-rgt-identity_binary64_17113` `+-lft-identity_binary64_17112` `mul0-rgt_binary64_17111` `mul0-lft_binary64_17110` `+-inverses_binary64_17107` `lft-mult-inverse_binary64_17106` `rgt-mult-inverse_binary64_17105` `remove-double-div_binary64_17104` `difference-of-sqr--1_binary64_17099` `difference-of-sqr-1_binary64_17098` `cancel-sign-sub_binary64_17093` `distribute-frac-neg_binary64_17091` `distribute-neg-out_binary64_17090` `count-2_binary64_17076` `associate--l-_binary64_17066`

Counts

189 → 112

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	248	3529
1	682	3313
2	2189	3202
3	5004	3202

prune100.0ms (0.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	108	4	112
Fresh	3	3	6
Picked	0	1	1
Done	0	0	0
Total	111	8	119

Error

0.0b

Counts

119 → 8

Compiler

Compiled 1998 to 458 computations (77.1% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.7b	(cbrt.f64 y)
0.7b	(cbrt.f64 y)
1.1b	(*.f64 (/.f64 (-.f64 z t) (-.f64 a t)) (cbrt.f64 y))
1.8b	(.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (*.f64 (/.f64 (-.f64 z t) (-.f64 a t)) (cbrt.f64 y)))

rewrite167.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

49×	`add-sqr-sqrt_binary64_17150`
39×	`*-un-lft-identity_binary64_17128`
32×	`associate-l_binary64_17069`
30×	`add-exp-log_binary64_17166`
27×	`times-frac_binary64_17134`
19×	`add-cube-cbrt_binary64_17163`
18×	`pow1_binary64_17189` `add-cbrt-cube_binary64_17164`
15×	`prod-exp_binary64_17177` `cbrt-unprod_binary64_17161`
11×	`cbrt-prod_binary64_17159`
10×	`difference-of-squares_binary64_17097` `distribute-lft-out--_binary64_17080`
9×	`pow-prod-down_binary64_17199`
7×	`associate-r_binary64_17068`
4×	`add-log-exp_binary64_17167` `unswap-sqr_binary64_17096`
3×	`div-exp_binary64_17179` `cbrt-undiv_binary64_17162`
2×	`associate-l/_binary64_17071` `-commutative_binary64_17059` `associate-/r/_binary64_17074` `pow1/3_binary64_17210`
1×	`associate-*r/_binary64_17070` `div-inv_binary64_17125` `flip3--_binary64_17132` `flip--_binary64_17103`

Counts

4 → 104

Calls

4 calls:

18.0ms	(.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (*.f64 (/.f64 (-.f64 z t) (-.f64 a t)) (cbrt.f64 y)))
16.0ms	(*.f64 (/.f64 (-.f64 z t) (-.f64 a t)) (cbrt.f64 y))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

Compiler

Compiled 2791 to 515 computations (81.5% saved)

series1.3s (11.6%)

Error

0.0b

Counts

4 → 50

Calls

4 calls:

637.0ms	(*.f64 (/.f64 (-.f64 z t) (-.f64 a t)) (cbrt.f64 y))
392.0ms	(.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (*.f64 (/.f64 (-.f64 z t) (-.f64 a t)) (cbrt.f64 y)))
124.0ms	(cbrt.f64 y)
117.0ms	(cbrt.f64 y)

Compiler

Compiled 3140 to 1998 computations (36.4% saved)

simplify94.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

589×	`times-frac_binary64_17134`
385×	`distribute-rgt-in_binary64_17078`
230×	`cancel-sign-sub-inv_binary64_17094`
223×	`associate-l_binary64_17069`
207×	`associate-r_binary64_17068`
133×	`*-commutative_binary64_17059`
119×	`sub-neg_binary64_17121`
115×	`associate-/l*_binary64_17073`
101×	`unswap-sqr_binary64_17096`
94×	`distribute-rgt-neg-in_binary64_17086`
78×	`associate-*l/_binary64_17071`
77×	`distribute-lft-neg-in_binary64_17085`
73×	`associate-*r/_binary64_17070`
65×	`div-sub_binary64_17133`
57×	`distribute-neg-frac_binary64_17092`
55×	`distribute-rgt-out_binary64_17081`
54×	`+-commutative_binary64_17058`
53×	`exp-prod_binary64_17180`
49×	`neg-sub0_binary64_17123`
46×	`distribute-lft-out_binary64_17079`
43×	`log-prod_binary64_17214`
41×	`associate--l+_binary64_17065`
40×	`distribute-rgt-out--_binary64_17082` `associate-/r*_binary64_17072`
39×	`neg-mul-1_binary64_17124` `sqr-pow_binary64_17100` `distribute-lft-out--_binary64_17080`
28×	`distribute-lft-neg-out_binary64_17087`
27×	`associate-+l+_binary64_17061`
24×	`associate--r+_binary64_17064`
23×	`distribute-neg-in_binary64_17089` `distribute-lft-in_binary64_17077`
20×	`unsub-neg_binary64_17122` `distribute-rgt-neg-out_binary64_17088`
19×	`associate-/r/_binary64_17074`
18×	`cube-prod_binary64_17156` `swap-sqr_binary64_17095`
16×	`associate-+r+_binary64_17060`
12×	`mul-1-neg_binary64_17120`
11×	`log-div_binary64_17215`
10×	`exp-sum_binary64_17174` `distribute-rgt1-in_binary64_17084`
9×	`cube-unmult_binary64_17165` `-rgt-identity_binary64_17118` `-lft-identity_binary64_17117`
7×	`cube-div_binary64_17157`
5×	`rem-sqrt-square_binary64_17141`
4×	`log-pow_binary64_17217` `pow-plus_binary64_17191` `exp-diff_binary64_17176` `pow-sqr_binary64_17101` `associate-+r-_binary64_17062`
2×	`unpow1/3_binary64_17195` `unpow3_binary64_17194` `unpow2_binary64_17193` `unpow1/2_binary64_17192` `unpow1_binary64_17186` `cube-mult_binary64_17158` `associate-+l-_binary64_17063`
1×	`1-exp_binary64_17172` `exp-1-e_binary64_17171` `rem-3cbrt-lft_binary64_17153` `rem-cube-cbrt_binary64_17151` `/-rgt-identity_binary64_17119` `remove-double-neg_binary64_17116` `*-inverses_binary64_17108` `difference-of-squares_binary64_17097` `distribute-frac-neg_binary64_17091` `distribute-lft1-in_binary64_17083` `count-2_binary64_17076`
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_17391` `erf-erfc_binary64_17390` `erf-odd_binary64_17389` `if-if-and-not_binary64_17388` `if-if-and_binary64_17387` `if-if-or-not_binary64_17386` `if-if-or_binary64_17385` `if-not_binary64_17384` `if-same_binary64_17383` `if-false_binary64_17382` `if-true_binary64_17381` `not-gte_binary64_17380` `not-lte_binary64_17379` `not-gt_binary64_17378` `not-lt_binary64_17377` `gte-same_binary64_17376` `lte-same_binary64_17375` `gt-same_binary64_17374` `lt-same_binary64_17373` `sinh---cosh_binary64_17320` `sinh-+-cosh_binary64_17319` `sinh-cosh_binary64_17318` `tanh-def-c_binary64_17317` `tanh-def-b_binary64_17316` `tanh-def-a_binary64_17315` `cosh-def_binary64_17314` `sinh-def_binary64_17313` `tan-neg_binary64_17260` `cos-neg_binary64_17259` `sin-neg_binary64_17258` `tan-0_binary64_17257` `cos-0_binary64_17256` `sin-0_binary64_17255` `hang-m-tan_binary64_17254` `hang-p-tan_binary64_17253` `hang-m0-tan_binary64_17252` `hang-p0-tan_binary64_17251` `hang-0m-tan_binary64_17250` `hang-0p-tan_binary64_17249` `tan-+PI/2_binary64_17248` `tan-+PI_binary64_17247` `tan-PI_binary64_17246` `tan-PI/3_binary64_17245` `tan-PI/4_binary64_17244` `tan-PI/6_binary64_17243` `cos-+PI/2_binary64_17242` `cos-+PI_binary64_17241` `cos-PI_binary64_17240` `cos-PI/2_binary64_17239` `cos-PI/3_binary64_17238` `cos-PI/4_binary64_17237` `cos-PI/6_binary64_17236` `sin-+PI/2_binary64_17235` `sin-+PI_binary64_17234` `sin-PI_binary64_17233` `sin-PI/2_binary64_17232` `sin-PI/3_binary64_17231` `sin-PI/4_binary64_17230` `sin-PI/6_binary64_17229` `sub-1-sin_binary64_17228` `sub-1-cos_binary64_17227` `-1-add-sin_binary64_17226` `-1-add-cos_binary64_17225` `1-sub-sin_binary64_17224` `1-sub-cos_binary64_17223` `cos-sin-sum_binary64_17222` `log-E_binary64_17218` `log-rec_binary64_17216` `pow-base-0_binary64_17212` `exp-to-pow_binary64_17190` `pow-base-1_binary64_17188` `unpow0_binary64_17187` `unpow-1_binary64_17185` `exp-lft-cube_binary64_17184` `exp-lft-sqr_binary64_17183` `exp-cbrt_binary64_17182` `exp-sqrt_binary64_17181` `div-exp_binary64_17179` `rec-exp_binary64_17178` `prod-exp_binary64_17177` `exp-neg_binary64_17175` `e-exp-1_binary64_17173` `exp-0_binary64_17170` `rem-log-exp_binary64_17169` `rem-exp-log_binary64_17168` `cube-neg_binary64_17155` `rem-3cbrt-rft_binary64_17154` `rem-cbrt-cube_binary64_17152` `sqr-abs_binary64_17143` `sqr-neg_binary64_17142` `rem-square-sqrt_binary64_17140` `sub0-neg_binary64_17115` `--rgt-identity_binary64_17114` `+-rgt-identity_binary64_17113` `+-lft-identity_binary64_17112` `mul0-rgt_binary64_17111` `mul0-lft_binary64_17110` `div0_binary64_17109` `+-inverses_binary64_17107` `lft-mult-inverse_binary64_17106` `rgt-mult-inverse_binary64_17105` `remove-double-div_binary64_17104` `difference-of-sqr--1_binary64_17099` `difference-of-sqr-1_binary64_17098` `cancel-sign-sub_binary64_17093` `distribute-neg-out_binary64_17090` `associate-/l/_binary64_17075` `associate--r-_binary64_17067` `associate--l-_binary64_17066`

Counts

154 → 114

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	233	3100
1	634	2402
2	2103	2330
3	4963	2330

prune118.0ms (1%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	113	1	114
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	114	8	122

Error

Counts

122 → 8

Compiler

Compiled 2561 to 602 computations (76.5% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.7b	(cbrt.f64 y)
0.7b	(cbrt.f64 y)
1.1b	(*.f64 (cbrt.f64 y) (/.f64 (-.f64 z t) (cbrt.f64 (-.f64 a t))))
1.8b	(.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (.f64 (/.f64 1 (.f64 (cbrt.f64 (-.f64 a t)) (cbrt.f64 (-.f64 a t)))) (*.f64 (cbrt.f64 y) (/.f64 (-.f64 z t) (cbrt.f64 (-.f64 a t))))))

rewrite372.0ms (3.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

233×	`add-exp-log_binary64_17166`
156×	`prod-exp_binary64_17177`
69×	`add-sqr-sqrt_binary64_17150`
68×	`cbrt-unprod_binary64_17161`
60×	`add-cbrt-cube_binary64_17164`
53×	`*-un-lft-identity_binary64_17128`
47×	`associate-r_binary64_17068`
44×	`times-frac_binary64_17134`
39×	`div-exp_binary64_17179` `cbrt-prod_binary64_17159`
27×	`pow1_binary64_17189` `add-cube-cbrt_binary64_17163`
19×	`cbrt-undiv_binary64_17162`
16×	`pow-prod-down_binary64_17199`
13×	`difference-of-squares_binary64_17097` `distribute-lft-out--_binary64_17080`
12×	`1-exp_binary64_17172` `rec-exp_binary64_17178`
7×	`associate-r/_binary64_17070` `associate-l*_binary64_17069`
6×	`unswap-sqr_binary64_17096`
4×	`add-log-exp_binary64_17167`
2×	`*-commutative_binary64_17059` `cbrt-div_binary64_17160` `associate-/r/_binary64_17074` `pow1/3_binary64_17210`
1×	`frac-times_binary64_17138` `associate-*l/_binary64_17071` `div-inv_binary64_17125` `flip3--_binary64_17132` `flip--_binary64_17103`

Counts

4 → 177

Calls

4 calls:

39.0ms	(.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (.f64 (/.f64 1 (.f64 (cbrt.f64 (-.f64 a t)) (cbrt.f64 (-.f64 a t)))) (*.f64 (cbrt.f64 y) (/.f64 (-.f64 z t) (cbrt.f64 (-.f64 a t))))))
26.0ms	(*.f64 (cbrt.f64 y) (/.f64 (-.f64 z t) (cbrt.f64 (-.f64 a t))))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

Compiler

Compiled 7627 to 1467 computations (80.8% saved)

series1.6s (14.1%)

Error

Counts

4 → 49

Calls

4 calls:

877.0ms	(*.f64 (cbrt.f64 y) (/.f64 (-.f64 z t) (cbrt.f64 (-.f64 a t))))
446.0ms	(.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (.f64 (/.f64 1 (.f64 (cbrt.f64 (-.f64 a t)) (cbrt.f64 (-.f64 a t)))) (*.f64 (cbrt.f64 y) (/.f64 (-.f64 z t) (cbrt.f64 (-.f64 a t))))))
112.0ms	(cbrt.f64 y)
109.0ms	(cbrt.f64 y)

Compiler

Compiled 4567 to 2831 computations (38% saved)

simplify242.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

509×	`associate-r_binary64_17068`
470×	`associate-l_binary64_17069`
262×	`*-commutative_binary64_17059`
231×	`associate-/l*_binary64_17073`
225×	`log-prod_binary64_17214`
188×	`sub-neg_binary64_17121`
171×	`exp-prod_binary64_17180`
161×	`associate-*r/_binary64_17070`
132×	`unswap-sqr_binary64_17096`
131×	`associate-*l/_binary64_17071`
128×	`times-frac_binary64_17134`
97×	`associate-/r*_binary64_17072`
83×	`sqr-pow_binary64_17100`
80×	`neg-sub0_binary64_17123` `+-commutative_binary64_17058`
72×	`log-div_binary64_17215`
68×	`neg-mul-1_binary64_17124`
67×	`associate-+r+_binary64_17060`
60×	`exp-diff_binary64_17176` `div-sub_binary64_17133`
53×	`unsub-neg_binary64_17122` `associate-+l+_binary64_17061`
50×	`associate-/l/_binary64_17075`
49×	`-rgt-identity_binary64_17118` `-lft-identity_binary64_17117`
44×	`exp-sum_binary64_17174`
43×	`associate--l+_binary64_17065`
37×	`cube-prod_binary64_17156` `distribute-lft-in_binary64_17077`
36×	`associate--r+_binary64_17064`
35×	`distribute-rgt-in_binary64_17078` `associate-/r/_binary64_17074`
34×	`cancel-sign-sub-inv_binary64_17094`
33×	`unpow3_binary64_17194`
29×	`associate-+l-_binary64_17063`
25×	`associate-+r-_binary64_17062`
24×	`unpow1/3_binary64_17195`
23×	`log-pow_binary64_17217`
17×	`cube-div_binary64_17157` `mul-1-neg_binary64_17120` `distribute-neg-in_binary64_17089`
16×	`distribute-rgt-neg-in_binary64_17086`
14×	`/-rgt-identity_binary64_17119`
13×	`log-rec_binary64_17216`
12×	`swap-sqr_binary64_17095` `distribute-lft-neg-in_binary64_17085`
11×	`exp-to-pow_binary64_17190` `cube-unmult_binary64_17165`
10×	`pow-plus_binary64_17191` `pow-sqr_binary64_17101`
9×	`distribute-neg-frac_binary64_17092`
8×	`exp-neg_binary64_17175`
6×	`distribute-lft-neg-out_binary64_17087`
5×	`rem-sqrt-square_binary64_17141`
4×	`unpow1/2_binary64_17192` `+-rgt-identity_binary64_17113` `difference-of-squares_binary64_17097` `distribute-rgt-neg-out_binary64_17088`
3×	`cube-mult_binary64_17158` `sub0-neg_binary64_17115` `distribute-rgt-out--_binary64_17082` `associate--r-_binary64_17067`
2×	`unpow2_binary64_17193` `unpow1_binary64_17186` `rem-3cbrt-lft_binary64_17153` `remove-double-neg_binary64_17116` `+-lft-identity_binary64_17112` `distribute-neg-out_binary64_17090` `distribute-rgt-out_binary64_17081` `count-2_binary64_17076` `associate--l-_binary64_17066`
1×	`rec-exp_binary64_17178` `prod-exp_binary64_17177` `1-exp_binary64_17172` `exp-1-e_binary64_17171` `rem-3cbrt-rft_binary64_17154` `rem-cube-cbrt_binary64_17151` `distribute-frac-neg_binary64_17091`
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_17391` `erf-erfc_binary64_17390` `erf-odd_binary64_17389` `if-if-and-not_binary64_17388` `if-if-and_binary64_17387` `if-if-or-not_binary64_17386` `if-if-or_binary64_17385` `if-not_binary64_17384` `if-same_binary64_17383` `if-false_binary64_17382` `if-true_binary64_17381` `not-gte_binary64_17380` `not-lte_binary64_17379` `not-gt_binary64_17378` `not-lt_binary64_17377` `gte-same_binary64_17376` `lte-same_binary64_17375` `gt-same_binary64_17374` `lt-same_binary64_17373` `sinh---cosh_binary64_17320` `sinh-+-cosh_binary64_17319` `sinh-cosh_binary64_17318` `tanh-def-c_binary64_17317` `tanh-def-b_binary64_17316` `tanh-def-a_binary64_17315` `cosh-def_binary64_17314` `sinh-def_binary64_17313` `tan-neg_binary64_17260` `cos-neg_binary64_17259` `sin-neg_binary64_17258` `tan-0_binary64_17257` `cos-0_binary64_17256` `sin-0_binary64_17255` `hang-m-tan_binary64_17254` `hang-p-tan_binary64_17253` `hang-m0-tan_binary64_17252` `hang-p0-tan_binary64_17251` `hang-0m-tan_binary64_17250` `hang-0p-tan_binary64_17249` `tan-+PI/2_binary64_17248` `tan-+PI_binary64_17247` `tan-PI_binary64_17246` `tan-PI/3_binary64_17245` `tan-PI/4_binary64_17244` `tan-PI/6_binary64_17243` `cos-+PI/2_binary64_17242` `cos-+PI_binary64_17241` `cos-PI_binary64_17240` `cos-PI/2_binary64_17239` `cos-PI/3_binary64_17238` `cos-PI/4_binary64_17237` `cos-PI/6_binary64_17236` `sin-+PI/2_binary64_17235` `sin-+PI_binary64_17234` `sin-PI_binary64_17233` `sin-PI/2_binary64_17232` `sin-PI/3_binary64_17231` `sin-PI/4_binary64_17230` `sin-PI/6_binary64_17229` `sub-1-sin_binary64_17228` `sub-1-cos_binary64_17227` `-1-add-sin_binary64_17226` `-1-add-cos_binary64_17225` `1-sub-sin_binary64_17224` `1-sub-cos_binary64_17223` `cos-sin-sum_binary64_17222` `log-E_binary64_17218` `pow-base-0_binary64_17212` `pow-base-1_binary64_17188` `unpow0_binary64_17187` `unpow-1_binary64_17185` `exp-lft-cube_binary64_17184` `exp-lft-sqr_binary64_17183` `exp-cbrt_binary64_17182` `exp-sqrt_binary64_17181` `div-exp_binary64_17179` `e-exp-1_binary64_17173` `exp-0_binary64_17170` `rem-log-exp_binary64_17169` `rem-exp-log_binary64_17168` `cube-neg_binary64_17155` `rem-cbrt-cube_binary64_17152` `sqr-abs_binary64_17143` `sqr-neg_binary64_17142` `rem-square-sqrt_binary64_17140` `--rgt-identity_binary64_17114` `mul0-rgt_binary64_17111` `mul0-lft_binary64_17110` `div0_binary64_17109` `*-inverses_binary64_17108` `+-inverses_binary64_17107` `lft-mult-inverse_binary64_17106` `rgt-mult-inverse_binary64_17105` `remove-double-div_binary64_17104` `difference-of-sqr--1_binary64_17099` `difference-of-sqr-1_binary64_17098` `cancel-sign-sub_binary64_17093` `distribute-rgt1-in_binary64_17084` `distribute-lft1-in_binary64_17083` `distribute-lft-out--_binary64_17080` `distribute-lft-out_binary64_17079`

Counts

226 → 166

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	463	8219
1	1133	4637
2	3900	4593
3	4687	4562
4	4976	4562
5	4975	4562

prune186.0ms (1.6%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	166	0	166
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	166	8	174

Error

Counts

174 → 8

Compiler

Compiled 4510 to 1256 computations (72.2% saved)

regimes910.0ms (8%)

Accuracy

Total 1.1b remaining (99.8%)

Threshold costs 0b (0%)

Compiler

Compiled 8542 to 6401 computations (25.1% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative_binary64_17058`
3×	`sub-neg_binary64_17121`
1×	`neg-mul-1_binary64_17124` `neg-sub0_binary64_17123` `*-commutative_binary64_17059`
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_17388` `if-if-and_binary64_17387` `if-if-or-not_binary64_17386` `if-if-or_binary64_17385` `if-not_binary64_17384` `if-same_binary64_17383` `if-false_binary64_17382` `if-true_binary64_17381` `tan-0_binary64_17257` `cos-0_binary64_17256` `sin-0_binary64_17255` `unpow1_binary64_17186` `e-exp-1_binary64_17173` `1-exp_binary64_17172` `exp-1-e_binary64_17171` `exp-0_binary64_17170` `sqr-abs_binary64_17143` `sqr-neg_binary64_17142` `unsub-neg_binary64_17122` `mul-1-neg_binary64_17120` `/-rgt-identity_binary64_17119` `-rgt-identity_binary64_17118` `-lft-identity_binary64_17117` `remove-double-neg_binary64_17116` `sub0-neg_binary64_17115` `--rgt-identity_binary64_17114` `+-rgt-identity_binary64_17113` `+-lft-identity_binary64_17112` `cancel-sign-sub-inv_binary64_17094` `cancel-sign-sub_binary64_17093` `distribute-neg-frac_binary64_17092` `distribute-frac-neg_binary64_17091` `distribute-neg-out_binary64_17090` `distribute-neg-in_binary64_17089` `distribute-rgt-neg-out_binary64_17088` `distribute-lft-neg-out_binary64_17087` `distribute-rgt-neg-in_binary64_17086` `distribute-lft-neg-in_binary64_17085`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	16
1	15	16
2	21	16
3	23	16
4	24	16
5	24	16

end0.0ms (0%)

sample1.7s (14.8%)

Algorithm

1×

intervals

Results

305.0ms	8000×	body	128	valid
35.0ms	697×	body	128	invalid

Compiler

Compiled 1230 to 927 computations (24.6% saved)

Details

analyze1.1s (9.7%)

sample25.0ms (0.2%)

simplify293.0ms (2.6%)

prune2.0ms (0%)

localize8.0ms (0.1%)

rewrite109.0ms (1%)

series1.2s (10.9%)

simplify134.0ms (1.2%)

prune89.0ms (0.8%)

localize9.0ms (0.1%)

rewrite159.0ms (1.4%)

series1.3s (11.4%)

simplify106.0ms (0.9%)

prune100.0ms (0.9%)

localize12.0ms (0.1%)

rewrite167.0ms (1.5%)

series1.3s (11.6%)

simplify94.0ms (0.8%)

prune118.0ms (1%)

localize21.0ms (0.2%)

rewrite372.0ms (3.3%)

series1.6s (14.1%)

simplify242.0ms (2.1%)

prune186.0ms (1.6%)

regimes910.0ms (8%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.7s (14.8%)

Profiling