Details

analyze1.1s (9%)

Algorithm

1×	search
2×	egg-herbie

Rules

952×	`div-sub_binary64_15087`
676×	`neg-mul-1_binary64_15078`
531×	`unsub-neg_binary64_15076`
415×	`sub-neg_binary64_15075`
310×	`distribute-frac-neg_binary64_15045`
298×	`distribute-rgt-in_binary64_15032`
257×	`distribute-lft-in_binary64_15031`
250×	`times-frac_binary64_15088`
247×	`distribute-neg-in_binary64_15043`
227×	`neg-sub0_binary64_15077`
208×	`cancel-sign-sub-inv_binary64_15048`
127×	`distribute-neg-frac_binary64_15046`
121×	`+-commutative_binary64_15012`
111×	`*-lft-identity_binary64_15071`
107×	`associate-/l*_binary64_15027`
91×	`distribute-neg-out_binary64_15044`
88×	`associate-+r+_binary64_15014`
80×	`associate-+l+_binary64_15015`
76×	`sub0-neg_binary64_15069`
69×	`div0_binary64_15063`
68×	`associate--r+_binary64_15018`
66×	`associate-+l-_binary64_15017`
63×	`*-commutative_binary64_15013`
61×	`mul0-rgt_binary64_15065` `mul0-lft_binary64_15064` `associate-l/_binary64_15025` `associate-r/_binary64_15024`
55×	`associate-r_binary64_15022`
51×	`associate-/r/_binary64_15028`
49×	`distribute-rgt-neg-out_binary64_15042`
48×	`associate-l_binary64_15023` `associate-+r-_binary64_15016`
47×	`cancel-sign-sub_binary64_15047` `distribute-lft-neg-out_binary64_15041`
40×	`+-rgt-identity_binary64_15067`
30×	`remove-double-neg_binary64_15070`
29×	`+-lft-identity_binary64_15066`
25×	`associate--r-_binary64_15021`
16×	`distribute-rgt-neg-in_binary64_15040`
10×	`*-inverses_binary64_15062`
7×	`mul-1-neg_binary64_15074`
6×	`associate--l+_binary64_15019`
1×	`1-exp_binary64_15126`
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_15345` `erf-erfc_binary64_15344` `erf-odd_binary64_15343` `if-if-and-not_binary64_15342` `if-if-and_binary64_15341` `if-if-or-not_binary64_15340` `if-if-or_binary64_15339` `if-not_binary64_15338` `if-same_binary64_15337` `if-false_binary64_15336` `if-true_binary64_15335` `not-gte_binary64_15334` `not-lte_binary64_15333` `not-gt_binary64_15332` `not-lt_binary64_15331` `gte-same_binary64_15330` `lte-same_binary64_15329` `gt-same_binary64_15328` `lt-same_binary64_15327` `sinh---cosh_binary64_15274` `sinh-+-cosh_binary64_15273` `sinh-cosh_binary64_15272` `tanh-def-c_binary64_15271` `tanh-def-b_binary64_15270` `tanh-def-a_binary64_15269` `cosh-def_binary64_15268` `sinh-def_binary64_15267` `tan-neg_binary64_15214` `cos-neg_binary64_15213` `sin-neg_binary64_15212` `tan-0_binary64_15211` `cos-0_binary64_15210` `sin-0_binary64_15209` `hang-m-tan_binary64_15208` `hang-p-tan_binary64_15207` `hang-m0-tan_binary64_15206` `hang-p0-tan_binary64_15205` `hang-0m-tan_binary64_15204` `hang-0p-tan_binary64_15203` `tan-+PI/2_binary64_15202` `tan-+PI_binary64_15201` `tan-PI_binary64_15200` `tan-PI/3_binary64_15199` `tan-PI/4_binary64_15198` `tan-PI/6_binary64_15197` `cos-+PI/2_binary64_15196` `cos-+PI_binary64_15195` `cos-PI_binary64_15194` `cos-PI/2_binary64_15193` `cos-PI/3_binary64_15192` `cos-PI/4_binary64_15191` `cos-PI/6_binary64_15190` `sin-+PI/2_binary64_15189` `sin-+PI_binary64_15188` `sin-PI_binary64_15187` `sin-PI/2_binary64_15186` `sin-PI/3_binary64_15185` `sin-PI/4_binary64_15184` `sin-PI/6_binary64_15183` `sub-1-sin_binary64_15182` `sub-1-cos_binary64_15181` `-1-add-sin_binary64_15180` `-1-add-cos_binary64_15179` `1-sub-sin_binary64_15178` `1-sub-cos_binary64_15177` `cos-sin-sum_binary64_15176` `log-E_binary64_15172` `log-pow_binary64_15171` `log-rec_binary64_15170` `log-div_binary64_15169` `log-prod_binary64_15168` `pow-base-0_binary64_15166` `unpow1/3_binary64_15149` `unpow3_binary64_15148` `unpow2_binary64_15147` `unpow1/2_binary64_15146` `pow-plus_binary64_15145` `exp-to-pow_binary64_15144` `pow-base-1_binary64_15142` `unpow0_binary64_15141` `unpow1_binary64_15140` `unpow-1_binary64_15139` `exp-lft-cube_binary64_15138` `exp-lft-sqr_binary64_15137` `exp-cbrt_binary64_15136` `exp-sqrt_binary64_15135` `exp-prod_binary64_15134` `div-exp_binary64_15133` `rec-exp_binary64_15132` `prod-exp_binary64_15131` `exp-diff_binary64_15130` `exp-neg_binary64_15129` `exp-sum_binary64_15128` `e-exp-1_binary64_15127` `exp-1-e_binary64_15125` `exp-0_binary64_15124` `rem-log-exp_binary64_15123` `rem-exp-log_binary64_15122` `cube-unmult_binary64_15119` `cube-mult_binary64_15112` `cube-div_binary64_15111` `cube-prod_binary64_15110` `cube-neg_binary64_15109` `rem-3cbrt-rft_binary64_15108` `rem-3cbrt-lft_binary64_15107` `rem-cbrt-cube_binary64_15106` `rem-cube-cbrt_binary64_15105` `sqr-abs_binary64_15097` `sqr-neg_binary64_15096` `rem-sqrt-square_binary64_15095` `rem-square-sqrt_binary64_15094` `/-rgt-identity_binary64_15073` `-rgt-identity_binary64_15072` `--rgt-identity_binary64_15068` `+-inverses_binary64_15061` `lft-mult-inverse_binary64_15060` `rgt-mult-inverse_binary64_15059` `remove-double-div_binary64_15058` `pow-sqr_binary64_15055` `sqr-pow_binary64_15054` `difference-of-sqr--1_binary64_15053` `difference-of-sqr-1_binary64_15052` `difference-of-squares_binary64_15051` `unswap-sqr_binary64_15050` `swap-sqr_binary64_15049` `distribute-lft-neg-in_binary64_15039` `distribute-rgt1-in_binary64_15038` `distribute-lft1-in_binary64_15037` `distribute-rgt-out--_binary64_15036` `distribute-rgt-out_binary64_15035` `distribute-lft-out--_binary64_15034` `distribute-lft-out_binary64_15033` `count-2_binary64_15030` `associate-/l/_binary64_15029` `associate-/r_binary64_15026` `associate--l-_binary64_15020`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	176
1	138	176
2	259	176
3	485	176
4	1065	176
5	2591	176
6	4225	176
7	4851	176
8	4998	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%	73.5%	0.2%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample24.0ms (0.2%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
1.0ms	18×	body	128	invalid

Compiler

Compiled 23 to 26 computations (-13% saved)

simplify285.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1012×	`div-sub_binary64_15087`
940×	`distribute-rgt-in_binary64_15032`
888×	`distribute-lft-in_binary64_15031`
810×	`sub-neg_binary64_15075`
619×	`times-frac_binary64_15088`
363×	`neg-mul-1_binary64_15078`
341×	`associate-/l*_binary64_15027`
340×	`unsub-neg_binary64_15076`
339×	`neg-sub0_binary64_15077`
335×	`cancel-sign-sub-inv_binary64_15048`
333×	`distribute-neg-frac_binary64_15046`
330×	`*-commutative_binary64_15013`
312×	`distribute-rgt-neg-in_binary64_15040`
292×	`associate-/r*_binary64_15026`
268×	`distribute-rgt-neg-out_binary64_15042`
229×	`distribute-lft-neg-out_binary64_15041`
216×	`associate--r+_binary64_15018`
195×	`associate-/r/_binary64_15028`
191×	`distribute-lft-neg-in_binary64_15039`
181×	`associate-*l/_binary64_15025`
180×	`associate-/l/_binary64_15029`
168×	`distribute-frac-neg_binary64_15045`
156×	`associate-*r/_binary64_15024`
153×	`associate-r_binary64_15022`
129×	`remove-double-neg_binary64_15070`
128×	`associate--r-_binary64_15021`
102×	`-lft-identity_binary64_15071` `associate-l*_binary64_15023`
101×	`+-commutative_binary64_15012`
72×	`distribute-neg-in_binary64_15043`
67×	`associate--l+_binary64_15019`
64×	`associate-+l+_binary64_15015`
62×	`distribute-rgt-out--_binary64_15036`
58×	`div0_binary64_15063` `associate-+r+_binary64_15014`
51×	`+-rgt-identity_binary64_15067` `associate-+r-_binary64_15016`
48×	`distribute-rgt-out_binary64_15035`
43×	`distribute-neg-out_binary64_15044`
40×	`associate--l-_binary64_15020` `associate-+l-_binary64_15017`
33×	`--rgt-identity_binary64_15068`
30×	`distribute-lft-out--_binary64_15034`
27×	`mul0-rgt_binary64_15065`
26×	`/-rgt-identity_binary64_15073`
24×	`*-rgt-identity_binary64_15072`
23×	`sub0-neg_binary64_15069`
22×	`mul0-lft_binary64_15064`
20×	`distribute-lft-out_binary64_15033`
14×	`remove-double-div_binary64_15058`
11×	`+-lft-identity_binary64_15066`
7×	`cancel-sign-sub_binary64_15047`
2×	`mul-1-neg_binary64_15074` `swap-sqr_binary64_15049` `distribute-rgt1-in_binary64_15038`
1×	`1-exp_binary64_15126` `sqr-neg_binary64_15096` `*-inverses_binary64_15062` `lft-mult-inverse_binary64_15060` `rgt-mult-inverse_binary64_15059`
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_15345` `erf-erfc_binary64_15344` `erf-odd_binary64_15343` `if-if-and-not_binary64_15342` `if-if-and_binary64_15341` `if-if-or-not_binary64_15340` `if-if-or_binary64_15339` `if-not_binary64_15338` `if-same_binary64_15337` `if-false_binary64_15336` `if-true_binary64_15335` `not-gte_binary64_15334` `not-lte_binary64_15333` `not-gt_binary64_15332` `not-lt_binary64_15331` `gte-same_binary64_15330` `lte-same_binary64_15329` `gt-same_binary64_15328` `lt-same_binary64_15327` `sinh---cosh_binary64_15274` `sinh-+-cosh_binary64_15273` `sinh-cosh_binary64_15272` `tanh-def-c_binary64_15271` `tanh-def-b_binary64_15270` `tanh-def-a_binary64_15269` `cosh-def_binary64_15268` `sinh-def_binary64_15267` `tan-neg_binary64_15214` `cos-neg_binary64_15213` `sin-neg_binary64_15212` `tan-0_binary64_15211` `cos-0_binary64_15210` `sin-0_binary64_15209` `hang-m-tan_binary64_15208` `hang-p-tan_binary64_15207` `hang-m0-tan_binary64_15206` `hang-p0-tan_binary64_15205` `hang-0m-tan_binary64_15204` `hang-0p-tan_binary64_15203` `tan-+PI/2_binary64_15202` `tan-+PI_binary64_15201` `tan-PI_binary64_15200` `tan-PI/3_binary64_15199` `tan-PI/4_binary64_15198` `tan-PI/6_binary64_15197` `cos-+PI/2_binary64_15196` `cos-+PI_binary64_15195` `cos-PI_binary64_15194` `cos-PI/2_binary64_15193` `cos-PI/3_binary64_15192` `cos-PI/4_binary64_15191` `cos-PI/6_binary64_15190` `sin-+PI/2_binary64_15189` `sin-+PI_binary64_15188` `sin-PI_binary64_15187` `sin-PI/2_binary64_15186` `sin-PI/3_binary64_15185` `sin-PI/4_binary64_15184` `sin-PI/6_binary64_15183` `sub-1-sin_binary64_15182` `sub-1-cos_binary64_15181` `-1-add-sin_binary64_15180` `-1-add-cos_binary64_15179` `1-sub-sin_binary64_15178` `1-sub-cos_binary64_15177` `cos-sin-sum_binary64_15176` `log-E_binary64_15172` `log-pow_binary64_15171` `log-rec_binary64_15170` `log-div_binary64_15169` `log-prod_binary64_15168` `pow-base-0_binary64_15166` `unpow1/3_binary64_15149` `unpow3_binary64_15148` `unpow2_binary64_15147` `unpow1/2_binary64_15146` `pow-plus_binary64_15145` `exp-to-pow_binary64_15144` `pow-base-1_binary64_15142` `unpow0_binary64_15141` `unpow1_binary64_15140` `unpow-1_binary64_15139` `exp-lft-cube_binary64_15138` `exp-lft-sqr_binary64_15137` `exp-cbrt_binary64_15136` `exp-sqrt_binary64_15135` `exp-prod_binary64_15134` `div-exp_binary64_15133` `rec-exp_binary64_15132` `prod-exp_binary64_15131` `exp-diff_binary64_15130` `exp-neg_binary64_15129` `exp-sum_binary64_15128` `e-exp-1_binary64_15127` `exp-1-e_binary64_15125` `exp-0_binary64_15124` `rem-log-exp_binary64_15123` `rem-exp-log_binary64_15122` `cube-unmult_binary64_15119` `cube-mult_binary64_15112` `cube-div_binary64_15111` `cube-prod_binary64_15110` `cube-neg_binary64_15109` `rem-3cbrt-rft_binary64_15108` `rem-3cbrt-lft_binary64_15107` `rem-cbrt-cube_binary64_15106` `rem-cube-cbrt_binary64_15105` `sqr-abs_binary64_15097` `rem-sqrt-square_binary64_15095` `rem-square-sqrt_binary64_15094` `+-inverses_binary64_15061` `pow-sqr_binary64_15055` `sqr-pow_binary64_15054` `difference-of-sqr--1_binary64_15053` `difference-of-sqr-1_binary64_15052` `difference-of-squares_binary64_15051` `unswap-sqr_binary64_15050` `distribute-lft1-in_binary64_15037` `count-2_binary64_15030`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	16
1	21	16
2	38	16
3	72	16
4	145	16
5	264	16
6	545	16
7	1359	16
8	2709	16
9	2877	16
10	3267	16
11	3331	16
12	3346	16
13	3409	16
14	3805	16
15	3555	16
16	3791	16
17	3783	16
18	3821	16
19	3821	16
20	3859	16
21	3859	16
22	5599	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

2.1b

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 y (/.f64 (-.f64 z t) (-.f64 a t))))
0.0b	(/.f64 (-.f64 z t) (-.f64 a t))
3.2b	(*.f64 y (/.f64 (-.f64 z t) (-.f64 a t)))

rewrite169.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

76×	`add-sqr-sqrt_binary64_15104`
71×	`*-un-lft-identity_binary64_15082`
51×	`times-frac_binary64_15088`
31×	`associate-r_binary64_15022`
27×	`add-cube-cbrt_binary64_15117`
22×	`difference-of-squares_binary64_15051` `distribute-lft-out--_binary64_15034`
10×	`add-exp-log_binary64_15120` `add-cbrt-cube_binary64_15118`
5×	`pow1_binary64_15143` `add-log-exp_binary64_15121` `associate-/l_binary64_15027` `associate-/r_binary64_15026`
4×	`associate-/r/_binary64_15028`
3×	`associate-l_binary64_15023` `flip3--_binary64_15086` `flip--_binary64_15057`
2×	`div-exp_binary64_15133` `prod-exp_binary64_15131` `cbrt-unprod_binary64_15115` `cbrt-undiv_binary64_15116` `unswap-sqr_binary64_15050` `div-inv_binary64_15079` `associate-/l/_binary64_15029`
1×	`pow-prod-down_binary64_15153` `associate-r/_binary64_15024` `-commutative_binary64_15013` `frac-2neg_binary64_15093` `div-sub_binary64_15087` `clear-num_binary64_15081` `sum-log_binary64_15173` `flip3-+_binary64_15085` `flip-+_binary64_15056` `+-commutative_binary64_15012`

Counts

3 → 113

Calls

3 calls:

17.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 a t)))
9.0ms	(/.f64 (-.f64 z t) (-.f64 a t))
9.0ms	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 a t))))

Compiler

Compiled 2369 to 535 computations (77.4% saved)

series1.3s (10.7%)

Error

0.0b

Counts

3 → 76

Calls

3 calls:

647.0ms	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 a t))))
360.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 a t)))
238.0ms	(/.f64 (-.f64 z t) (-.f64 a t))

Compiler

Compiled 3428 to 2051 computations (40.2% saved)

simplify104.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

497×	`distribute-rgt-in_binary64_15032`
470×	`times-frac_binary64_15088` `distribute-lft-in_binary64_15031`
205×	`cancel-sign-sub-inv_binary64_15048`
177×	`sub-neg_binary64_15075`
116×	`associate-l_binary64_15023`
112×	`associate-r_binary64_15022`
110×	`associate-/l*_binary64_15027`
94×	`+-commutative_binary64_15012`
92×	`*-commutative_binary64_15013`
84×	`associate--l+_binary64_15019`
83×	`div-sub_binary64_15087`
77×	`distribute-neg-frac_binary64_15046`
75×	`associate-*r/_binary64_15024`
71×	`distribute-rgt-neg-in_binary64_15040`
59×	`neg-sub0_binary64_15077`
55×	`distribute-lft-neg-in_binary64_15039`
52×	`neg-mul-1_binary64_15078`
49×	`associate-*l/_binary64_15025`
47×	`associate-/r*_binary64_15026`
43×	`*-rgt-identity_binary64_15072` `distribute-lft-neg-out_binary64_15041`
41×	`associate-/l/_binary64_15029`
40×	`associate--r+_binary64_15018`
39×	`associate-+l+_binary64_15015`
34×	`sqr-pow_binary64_15054`
32×	`distribute-rgt-neg-out_binary64_15042`
31×	`distribute-neg-in_binary64_15043`
30×	`*-lft-identity_binary64_15071`
27×	`distribute-rgt-out_binary64_15035` `associate-/r/_binary64_15028`
23×	`unsub-neg_binary64_15076`
20×	`distribute-rgt-out--_binary64_15036`
18×	`unswap-sqr_binary64_15050` `associate-+r+_binary64_15014`
15×	`cube-prod_binary64_15110`
13×	`/-rgt-identity_binary64_15073`
12×	`log-prod_binary64_15168`
11×	`log-div_binary64_15169` `cube-div_binary64_15111`
10×	`exp-prod_binary64_15134`
9×	`exp-sum_binary64_15128` `distribute-rgt1-in_binary64_15038`
8×	`unpow3_binary64_15148`
7×	`mul-1-neg_binary64_15074`
6×	`cube-mult_binary64_15112`
5×	`difference-of-squares_binary64_15051`
4×	`exp-diff_binary64_15130` `swap-sqr_binary64_15049` `distribute-lft-out--_binary64_15034` `distribute-lft-out_binary64_15033`
3×	`cube-unmult_binary64_15119`
2×	`unpow2_binary64_15147` `unpow1/2_binary64_15146` `unpow1_binary64_15140` `rem-sqrt-square_binary64_15095` `associate--r-_binary64_15021` `associate-+l-_binary64_15017` `associate-+r-_binary64_15016`
1×	`prod-exp_binary64_15131` `1-exp_binary64_15126` `exp-1-e_binary64_15125` `remove-double-neg_binary64_15070` `div0_binary64_15063` `*-inverses_binary64_15062` `pow-sqr_binary64_15055` `distribute-lft1-in_binary64_15037`
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_15345` `erf-erfc_binary64_15344` `erf-odd_binary64_15343` `if-if-and-not_binary64_15342` `if-if-and_binary64_15341` `if-if-or-not_binary64_15340` `if-if-or_binary64_15339` `if-not_binary64_15338` `if-same_binary64_15337` `if-false_binary64_15336` `if-true_binary64_15335` `not-gte_binary64_15334` `not-lte_binary64_15333` `not-gt_binary64_15332` `not-lt_binary64_15331` `gte-same_binary64_15330` `lte-same_binary64_15329` `gt-same_binary64_15328` `lt-same_binary64_15327` `sinh---cosh_binary64_15274` `sinh-+-cosh_binary64_15273` `sinh-cosh_binary64_15272` `tanh-def-c_binary64_15271` `tanh-def-b_binary64_15270` `tanh-def-a_binary64_15269` `cosh-def_binary64_15268` `sinh-def_binary64_15267` `tan-neg_binary64_15214` `cos-neg_binary64_15213` `sin-neg_binary64_15212` `tan-0_binary64_15211` `cos-0_binary64_15210` `sin-0_binary64_15209` `hang-m-tan_binary64_15208` `hang-p-tan_binary64_15207` `hang-m0-tan_binary64_15206` `hang-p0-tan_binary64_15205` `hang-0m-tan_binary64_15204` `hang-0p-tan_binary64_15203` `tan-+PI/2_binary64_15202` `tan-+PI_binary64_15201` `tan-PI_binary64_15200` `tan-PI/3_binary64_15199` `tan-PI/4_binary64_15198` `tan-PI/6_binary64_15197` `cos-+PI/2_binary64_15196` `cos-+PI_binary64_15195` `cos-PI_binary64_15194` `cos-PI/2_binary64_15193` `cos-PI/3_binary64_15192` `cos-PI/4_binary64_15191` `cos-PI/6_binary64_15190` `sin-+PI/2_binary64_15189` `sin-+PI_binary64_15188` `sin-PI_binary64_15187` `sin-PI/2_binary64_15186` `sin-PI/3_binary64_15185` `sin-PI/4_binary64_15184` `sin-PI/6_binary64_15183` `sub-1-sin_binary64_15182` `sub-1-cos_binary64_15181` `-1-add-sin_binary64_15180` `-1-add-cos_binary64_15179` `1-sub-sin_binary64_15178` `1-sub-cos_binary64_15177` `cos-sin-sum_binary64_15176` `log-E_binary64_15172` `log-pow_binary64_15171` `log-rec_binary64_15170` `pow-base-0_binary64_15166` `unpow1/3_binary64_15149` `pow-plus_binary64_15145` `exp-to-pow_binary64_15144` `pow-base-1_binary64_15142` `unpow0_binary64_15141` `unpow-1_binary64_15139` `exp-lft-cube_binary64_15138` `exp-lft-sqr_binary64_15137` `exp-cbrt_binary64_15136` `exp-sqrt_binary64_15135` `div-exp_binary64_15133` `rec-exp_binary64_15132` `exp-neg_binary64_15129` `e-exp-1_binary64_15127` `exp-0_binary64_15124` `rem-log-exp_binary64_15123` `rem-exp-log_binary64_15122` `cube-neg_binary64_15109` `rem-3cbrt-rft_binary64_15108` `rem-3cbrt-lft_binary64_15107` `rem-cbrt-cube_binary64_15106` `rem-cube-cbrt_binary64_15105` `sqr-abs_binary64_15097` `sqr-neg_binary64_15096` `rem-square-sqrt_binary64_15094` `sub0-neg_binary64_15069` `--rgt-identity_binary64_15068` `+-rgt-identity_binary64_15067` `+-lft-identity_binary64_15066` `mul0-rgt_binary64_15065` `mul0-lft_binary64_15064` `+-inverses_binary64_15061` `lft-mult-inverse_binary64_15060` `rgt-mult-inverse_binary64_15059` `remove-double-div_binary64_15058` `difference-of-sqr--1_binary64_15053` `difference-of-sqr-1_binary64_15052` `cancel-sign-sub_binary64_15047` `distribute-frac-neg_binary64_15045` `distribute-neg-out_binary64_15044` `count-2_binary64_15030` `associate--l-_binary64_15020`

Counts

189 → 112

Iterations

Useful iterations: 2 (0.0ms)

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

prune108.0ms (0.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	106	6	112
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	106	7	113

Error

0.0b

Counts

113 → 7

Compiler

Compiled 2013 to 451 computations (77.6% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
1.7b	(.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (*.f64 (/.f64 (-.f64 z t) (-.f64 a t)) (cbrt.f64 y)))
1.8b	(*.f64 (/.f64 (-.f64 z t) (-.f64 a t)) (cbrt.f64 y))

rewrite170.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

49×	`add-sqr-sqrt_binary64_15104`
39×	`*-un-lft-identity_binary64_15082`
32×	`associate-l_binary64_15023`
30×	`add-exp-log_binary64_15120`
27×	`times-frac_binary64_15088`
19×	`add-cube-cbrt_binary64_15117`
18×	`pow1_binary64_15143` `add-cbrt-cube_binary64_15118`
15×	`prod-exp_binary64_15131` `cbrt-unprod_binary64_15115`
11×	`cbrt-prod_binary64_15113`
10×	`difference-of-squares_binary64_15051` `distribute-lft-out--_binary64_15034`
9×	`pow-prod-down_binary64_15153`
7×	`associate-r_binary64_15022`
4×	`add-log-exp_binary64_15121` `unswap-sqr_binary64_15050`
3×	`div-exp_binary64_15133` `cbrt-undiv_binary64_15116`
2×	`associate-l/_binary64_15025` `associate-/r/_binary64_15028` `-commutative_binary64_15013` `pow1/3_binary64_15164`
1×	`div-inv_binary64_15079` `flip3--_binary64_15086` `flip--_binary64_15057` `associate-*r/_binary64_15024`

Counts

4 → 104

Calls

4 calls:

22.0ms	(.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (*.f64 (/.f64 (-.f64 z t) (-.f64 a t)) (cbrt.f64 y)))
19.0ms	(*.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 (10.9%)

Error

0.0b

Counts

4 → 50

Calls

4 calls:

646.0ms	(*.f64 (/.f64 (-.f64 z t) (-.f64 a t)) (cbrt.f64 y))
402.0ms	(.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (*.f64 (/.f64 (-.f64 z t) (-.f64 a t)) (cbrt.f64 y)))
123.0ms	(cbrt.f64 y)
112.0ms	(cbrt.f64 y)

Compiler

Compiled 3140 to 1998 computations (36.4% saved)

simplify88.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

589×	`times-frac_binary64_15088`
385×	`distribute-rgt-in_binary64_15032`
230×	`cancel-sign-sub-inv_binary64_15048`
225×	`associate-l_binary64_15023`
211×	`associate-r_binary64_15022`
138×	`*-commutative_binary64_15013`
119×	`sub-neg_binary64_15075`
115×	`associate-/l*_binary64_15027`
101×	`unswap-sqr_binary64_15050`
94×	`distribute-rgt-neg-in_binary64_15040`
78×	`associate-*l/_binary64_15025`
77×	`distribute-lft-neg-in_binary64_15039`
73×	`associate-*r/_binary64_15024`
65×	`div-sub_binary64_15087`
57×	`distribute-neg-frac_binary64_15046`
55×	`distribute-rgt-out_binary64_15035`
54×	`+-commutative_binary64_15012`
53×	`exp-prod_binary64_15134`
49×	`neg-sub0_binary64_15077`
46×	`distribute-lft-out_binary64_15033`
43×	`log-prod_binary64_15168`
41×	`associate--l+_binary64_15019`
40×	`distribute-rgt-out--_binary64_15036` `associate-/r*_binary64_15026`
39×	`neg-mul-1_binary64_15078` `sqr-pow_binary64_15054` `distribute-lft-out--_binary64_15034`
28×	`distribute-lft-neg-out_binary64_15041`
27×	`associate-+l+_binary64_15015`
24×	`associate--r+_binary64_15018`
23×	`distribute-neg-in_binary64_15043` `distribute-lft-in_binary64_15031`
20×	`unsub-neg_binary64_15076` `distribute-rgt-neg-out_binary64_15042`
19×	`associate-/r/_binary64_15028`
18×	`cube-prod_binary64_15110` `swap-sqr_binary64_15049`
16×	`associate-+r+_binary64_15014`
12×	`mul-1-neg_binary64_15074`
11×	`log-div_binary64_15169`
10×	`exp-sum_binary64_15128` `distribute-rgt1-in_binary64_15038`
9×	`cube-unmult_binary64_15119` `-rgt-identity_binary64_15072` `-lft-identity_binary64_15071`
7×	`cube-div_binary64_15111`
5×	`rem-sqrt-square_binary64_15095`
4×	`log-pow_binary64_15171` `pow-plus_binary64_15145` `exp-diff_binary64_15130` `pow-sqr_binary64_15055` `associate-+r-_binary64_15016`
2×	`unpow1/3_binary64_15149` `unpow3_binary64_15148` `unpow2_binary64_15147` `unpow1/2_binary64_15146` `unpow1_binary64_15140` `cube-mult_binary64_15112` `associate-+l-_binary64_15017`
1×	`1-exp_binary64_15126` `exp-1-e_binary64_15125` `rem-3cbrt-lft_binary64_15107` `rem-cube-cbrt_binary64_15105` `/-rgt-identity_binary64_15073` `remove-double-neg_binary64_15070` `*-inverses_binary64_15062` `difference-of-squares_binary64_15051` `distribute-frac-neg_binary64_15045` `distribute-lft1-in_binary64_15037` `count-2_binary64_15030`
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_15345` `erf-erfc_binary64_15344` `erf-odd_binary64_15343` `if-if-and-not_binary64_15342` `if-if-and_binary64_15341` `if-if-or-not_binary64_15340` `if-if-or_binary64_15339` `if-not_binary64_15338` `if-same_binary64_15337` `if-false_binary64_15336` `if-true_binary64_15335` `not-gte_binary64_15334` `not-lte_binary64_15333` `not-gt_binary64_15332` `not-lt_binary64_15331` `gte-same_binary64_15330` `lte-same_binary64_15329` `gt-same_binary64_15328` `lt-same_binary64_15327` `sinh---cosh_binary64_15274` `sinh-+-cosh_binary64_15273` `sinh-cosh_binary64_15272` `tanh-def-c_binary64_15271` `tanh-def-b_binary64_15270` `tanh-def-a_binary64_15269` `cosh-def_binary64_15268` `sinh-def_binary64_15267` `tan-neg_binary64_15214` `cos-neg_binary64_15213` `sin-neg_binary64_15212` `tan-0_binary64_15211` `cos-0_binary64_15210` `sin-0_binary64_15209` `hang-m-tan_binary64_15208` `hang-p-tan_binary64_15207` `hang-m0-tan_binary64_15206` `hang-p0-tan_binary64_15205` `hang-0m-tan_binary64_15204` `hang-0p-tan_binary64_15203` `tan-+PI/2_binary64_15202` `tan-+PI_binary64_15201` `tan-PI_binary64_15200` `tan-PI/3_binary64_15199` `tan-PI/4_binary64_15198` `tan-PI/6_binary64_15197` `cos-+PI/2_binary64_15196` `cos-+PI_binary64_15195` `cos-PI_binary64_15194` `cos-PI/2_binary64_15193` `cos-PI/3_binary64_15192` `cos-PI/4_binary64_15191` `cos-PI/6_binary64_15190` `sin-+PI/2_binary64_15189` `sin-+PI_binary64_15188` `sin-PI_binary64_15187` `sin-PI/2_binary64_15186` `sin-PI/3_binary64_15185` `sin-PI/4_binary64_15184` `sin-PI/6_binary64_15183` `sub-1-sin_binary64_15182` `sub-1-cos_binary64_15181` `-1-add-sin_binary64_15180` `-1-add-cos_binary64_15179` `1-sub-sin_binary64_15178` `1-sub-cos_binary64_15177` `cos-sin-sum_binary64_15176` `log-E_binary64_15172` `log-rec_binary64_15170` `pow-base-0_binary64_15166` `exp-to-pow_binary64_15144` `pow-base-1_binary64_15142` `unpow0_binary64_15141` `unpow-1_binary64_15139` `exp-lft-cube_binary64_15138` `exp-lft-sqr_binary64_15137` `exp-cbrt_binary64_15136` `exp-sqrt_binary64_15135` `div-exp_binary64_15133` `rec-exp_binary64_15132` `prod-exp_binary64_15131` `exp-neg_binary64_15129` `e-exp-1_binary64_15127` `exp-0_binary64_15124` `rem-log-exp_binary64_15123` `rem-exp-log_binary64_15122` `cube-neg_binary64_15109` `rem-3cbrt-rft_binary64_15108` `rem-cbrt-cube_binary64_15106` `sqr-abs_binary64_15097` `sqr-neg_binary64_15096` `rem-square-sqrt_binary64_15094` `sub0-neg_binary64_15069` `--rgt-identity_binary64_15068` `+-rgt-identity_binary64_15067` `+-lft-identity_binary64_15066` `mul0-rgt_binary64_15065` `mul0-lft_binary64_15064` `div0_binary64_15063` `+-inverses_binary64_15061` `lft-mult-inverse_binary64_15060` `rgt-mult-inverse_binary64_15059` `remove-double-div_binary64_15058` `difference-of-sqr--1_binary64_15053` `difference-of-sqr-1_binary64_15052` `cancel-sign-sub_binary64_15047` `distribute-neg-out_binary64_15044` `associate-/l/_binary64_15029` `associate--r-_binary64_15021` `associate--l-_binary64_15020`

Counts

154 → 122

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	121	1	122
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	121	8	129

Error

0.0b

Counts

129 → 8

Compiler

Compiled 2674 to 608 computations (77.3% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

1.7b	(.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (.f64 (.f64 (cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t))) (cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t)))) (*.f64 (cbrt.f64 y) (cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t))))))
4.4b	(cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t)))
4.4b	(cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t)))
4.4b	(cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t)))

rewrite353.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

97×	`add-sqr-sqrt_binary64_15104` `*-un-lft-identity_binary64_15082`
93×	`cbrt-prod_binary64_15113`
75×	`times-frac_binary64_15088`
45×	`pow1_binary64_15143` `add-exp-log_binary64_15120`
37×	`add-cube-cbrt_binary64_15117`
36×	`pow-prod-down_binary64_15153`
31×	`prod-exp_binary64_15131` `cbrt-unprod_binary64_15115`
30×	`difference-of-squares_binary64_15051` `distribute-lft-out--_binary64_15034`
19×	`add-cbrt-cube_binary64_15118`
15×	`cbrt-div_binary64_15114`
14×	`associate-*r/_binary64_15024`
9×	`pow1/3_binary64_15164`
6×	`associate-/r/_binary64_15028`
5×	`frac-times_binary64_15092` `associate-*l/_binary64_15025`
4×	`add-log-exp_binary64_15121`
3×	`div-inv_binary64_15079` `flip3--_binary64_15086` `flip--_binary64_15057`
1×	`associate-l_binary64_15023` `associate-r_binary64_15022` `*-commutative_binary64_15013`

Counts

4 → 168

Calls

4 calls:

53.0ms	(.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (.f64 (.f64 (cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t))) (cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t)))) (*.f64 (cbrt.f64 y) (cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t))))))
9.0ms	(cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t)))
9.0ms	(cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t)))
9.0ms	(cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t)))

Compiler

Compiled 8210 to 1041 computations (87.3% saved)

series2.2s (18%)

Error

0.0b

Counts

4 → 73

Calls

4 calls:

541.0ms	(cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t)))
517.0ms	(cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t)))
512.0ms	(cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t)))
512.0ms	(.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (.f64 (.f64 (cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t))) (cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t)))) (*.f64 (cbrt.f64 y) (cbrt.f64 (/.f64 (-.f64 z t) (-.f64 a t))))))

Compiler

Compiled 9684 to 5443 computations (43.8% saved)

simplify229.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

709×	`times-frac_binary64_15088`
387×	`associate-r_binary64_15022`
316×	`associate-l_binary64_15023`
204×	`cancel-sign-sub-inv_binary64_15048`
184×	`*-commutative_binary64_15013`
138×	`associate-/l*_binary64_15027`
130×	`sub-neg_binary64_15075`
124×	`exp-prod_binary64_15134`
109×	`distribute-rgt-neg-in_binary64_15040`
106×	`distribute-lft-neg-in_binary64_15039`
103×	`distribute-neg-frac_binary64_15046`
88×	`log-prod_binary64_15168`
84×	`unswap-sqr_binary64_15050`
69×	`associate-/r*_binary64_15026`
68×	`neg-sub0_binary64_15077`
67×	`sqr-pow_binary64_15054`
66×	`div-sub_binary64_15087`
64×	`associate-*r/_binary64_15024` `+-commutative_binary64_15012`
60×	`exp-sum_binary64_15128`
56×	`associate-*l/_binary64_15025`
53×	`neg-mul-1_binary64_15078`
39×	`exp-diff_binary64_15130`
35×	`swap-sqr_binary64_15049`
32×	`associate--l+_binary64_15019`
31×	`associate-/r/_binary64_15028` `associate-+l+_binary64_15015`
30×	`unsub-neg_binary64_15076`
28×	`associate-+r+_binary64_15014`
22×	`unpow3_binary64_15148`
21×	`cube-prod_binary64_15110` `mul-1-neg_binary64_15074`
19×	`associate-/l/_binary64_15029`
18×	`exp-neg_binary64_15129`
17×	`distribute-rgt-out--_binary64_15036` `distribute-rgt-out_binary64_15035`
16×	`log-div_binary64_15169` `unpow1/3_binary64_15149` `associate--r+_binary64_15018`
15×	`distribute-neg-in_binary64_15043`
14×	`distribute-rgt-neg-out_binary64_15042`
13×	`distribute-lft-neg-out_binary64_15041` `distribute-rgt-in_binary64_15032` `distribute-lft-in_binary64_15031`
11×	`cube-unmult_binary64_15119`
10×	`pow-plus_binary64_15145` `distribute-frac-neg_binary64_15045`
8×	`log-pow_binary64_15171` `pow-sqr_binary64_15055`
7×	`exp-to-pow_binary64_15144` `distribute-neg-out_binary64_15044`
6×	`*-rgt-identity_binary64_15072` `distribute-rgt1-in_binary64_15038`
5×	`difference-of-squares_binary64_15051`
4×	`/-rgt-identity_binary64_15073` `associate-+l-_binary64_15017`
3×	`log-rec_binary64_15170` `unpow2_binary64_15147` `unpow1/2_binary64_15146` `unpow1_binary64_15140` `cube-mult_binary64_15112` `cube-div_binary64_15111` `rem-3cbrt-lft_binary64_15107` `rem-sqrt-square_binary64_15095`
2×	`rem-3cbrt-rft_binary64_15108` `*-lft-identity_binary64_15071` `remove-double-neg_binary64_15070` `distribute-lft1-in_binary64_15037` `count-2_binary64_15030` `associate--r-_binary64_15021` `associate--l-_binary64_15020` `associate-+r-_binary64_15016`
1×	`1-exp_binary64_15126` `rem-cbrt-cube_binary64_15106` `rem-cube-cbrt_binary64_15105` `*-inverses_binary64_15062` `distribute-lft-out_binary64_15033`
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_15345` `erf-erfc_binary64_15344` `erf-odd_binary64_15343` `if-if-and-not_binary64_15342` `if-if-and_binary64_15341` `if-if-or-not_binary64_15340` `if-if-or_binary64_15339` `if-not_binary64_15338` `if-same_binary64_15337` `if-false_binary64_15336` `if-true_binary64_15335` `not-gte_binary64_15334` `not-lte_binary64_15333` `not-gt_binary64_15332` `not-lt_binary64_15331` `gte-same_binary64_15330` `lte-same_binary64_15329` `gt-same_binary64_15328` `lt-same_binary64_15327` `sinh---cosh_binary64_15274` `sinh-+-cosh_binary64_15273` `sinh-cosh_binary64_15272` `tanh-def-c_binary64_15271` `tanh-def-b_binary64_15270` `tanh-def-a_binary64_15269` `cosh-def_binary64_15268` `sinh-def_binary64_15267` `tan-neg_binary64_15214` `cos-neg_binary64_15213` `sin-neg_binary64_15212` `tan-0_binary64_15211` `cos-0_binary64_15210` `sin-0_binary64_15209` `hang-m-tan_binary64_15208` `hang-p-tan_binary64_15207` `hang-m0-tan_binary64_15206` `hang-p0-tan_binary64_15205` `hang-0m-tan_binary64_15204` `hang-0p-tan_binary64_15203` `tan-+PI/2_binary64_15202` `tan-+PI_binary64_15201` `tan-PI_binary64_15200` `tan-PI/3_binary64_15199` `tan-PI/4_binary64_15198` `tan-PI/6_binary64_15197` `cos-+PI/2_binary64_15196` `cos-+PI_binary64_15195` `cos-PI_binary64_15194` `cos-PI/2_binary64_15193` `cos-PI/3_binary64_15192` `cos-PI/4_binary64_15191` `cos-PI/6_binary64_15190` `sin-+PI/2_binary64_15189` `sin-+PI_binary64_15188` `sin-PI_binary64_15187` `sin-PI/2_binary64_15186` `sin-PI/3_binary64_15185` `sin-PI/4_binary64_15184` `sin-PI/6_binary64_15183` `sub-1-sin_binary64_15182` `sub-1-cos_binary64_15181` `-1-add-sin_binary64_15180` `-1-add-cos_binary64_15179` `1-sub-sin_binary64_15178` `1-sub-cos_binary64_15177` `cos-sin-sum_binary64_15176` `log-E_binary64_15172` `pow-base-0_binary64_15166` `pow-base-1_binary64_15142` `unpow0_binary64_15141` `unpow-1_binary64_15139` `exp-lft-cube_binary64_15138` `exp-lft-sqr_binary64_15137` `exp-cbrt_binary64_15136` `exp-sqrt_binary64_15135` `div-exp_binary64_15133` `rec-exp_binary64_15132` `prod-exp_binary64_15131` `e-exp-1_binary64_15127` `exp-1-e_binary64_15125` `exp-0_binary64_15124` `rem-log-exp_binary64_15123` `rem-exp-log_binary64_15122` `cube-neg_binary64_15109` `sqr-abs_binary64_15097` `sqr-neg_binary64_15096` `rem-square-sqrt_binary64_15094` `sub0-neg_binary64_15069` `--rgt-identity_binary64_15068` `+-rgt-identity_binary64_15067` `+-lft-identity_binary64_15066` `mul0-rgt_binary64_15065` `mul0-lft_binary64_15064` `div0_binary64_15063` `+-inverses_binary64_15061` `lft-mult-inverse_binary64_15060` `rgt-mult-inverse_binary64_15059` `remove-double-div_binary64_15058` `difference-of-sqr--1_binary64_15053` `difference-of-sqr-1_binary64_15052` `cancel-sign-sub_binary64_15047` `distribute-lft-out--_binary64_15034`

Counts

241 → 154

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	345	7153
1	900	5986
2	2610	5738
3	4735	5687
4	4971	5687

prune205.0ms (1.7%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	154	0	154
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	154	8	162

Error

0.0b

Counts

162 → 8

Compiler

Compiled 5523 to 1053 computations (80.9% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (/.f64 (*.f64 (-.f64 z t) y) (-.f64 a t)))
10.3b	(/.f64 (*.f64 (-.f64 z t) y) (-.f64 a t))

rewrite63.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

10×	`*-un-lft-identity_binary64_15082`
8×	`add-sqr-sqrt_binary64_15104`
7×	`add-exp-log_binary64_15120` `add-cbrt-cube_binary64_15118`
5×	`times-frac_binary64_15088` `associate-/r*_binary64_15026`
4×	`add-log-exp_binary64_15121` `add-cube-cbrt_binary64_15117`
2×	`pow1_binary64_15143` `div-exp_binary64_15133` `cbrt-undiv_binary64_15116` `difference-of-squares_binary64_15051` `distribute-lft-out--_binary64_15034` `flip3--_binary64_15086` `associate-*l/_binary64_15025` `associate-/l/_binary64_15029` `flip--_binary64_15057` `associate-/r/_binary64_15028`
1×	`prod-exp_binary64_15131` `cbrt-unprod_binary64_15115` `frac-2neg_binary64_15093` `clear-num_binary64_15081` `div-inv_binary64_15079` `associate-/l*_binary64_15027` `sum-log_binary64_15173` `flip3-+_binary64_15085` `flip-+_binary64_15056` `distribute-lft-out_binary64_15033` `+-commutative_binary64_15012`

Counts

2 → 41

Calls

2 calls:

10.0ms	(/.f64 (*.f64 (-.f64 z t) y) (-.f64 a t))
9.0ms	(+.f64 x (/.f64 (*.f64 (-.f64 z t) y) (-.f64 a t)))

Compiler

Compiled 819 to 191 computations (76.7% saved)

series1.0s (8.6%)

Error

0.0b

Counts

2 → 55

Calls

2 calls:

648.0ms	(+.f64 x (/.f64 (*.f64 (-.f64 z t) y) (-.f64 a t)))
358.0ms	(/.f64 (*.f64 (-.f64 z t) y) (-.f64 a t))

Compiler

Compiled 2435 to 1388 computations (43% saved)

simplify105.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

621×	`div-sub_binary64_15087`
594×	`associate-/l*_binary64_15027`
534×	`times-frac_binary64_15088`
305×	`distribute-rgt-in_binary64_15032`
286×	`distribute-lft-in_binary64_15031`
207×	`associate-/l/_binary64_15029`
204×	`associate-/r/_binary64_15028`
146×	`cancel-sign-sub-inv_binary64_15048`
128×	`sub-neg_binary64_15075`
74×	`+-commutative_binary64_15012`
63×	`distribute-neg-frac_binary64_15046`
60×	`*-commutative_binary64_15013`
57×	`associate--l+_binary64_15019`
45×	`associate-l_binary64_15023`
43×	`distribute-rgt-neg-in_binary64_15040`
40×	`distribute-lft-neg-in_binary64_15039`
38×	`neg-sub0_binary64_15077` `associate-r_binary64_15022`
36×	`associate-*l/_binary64_15025`
34×	`neg-mul-1_binary64_15078` `associate-/r_binary64_15026` `associate-r/_binary64_15024`
31×	`associate-+l+_binary64_15015`
30×	`sqr-pow_binary64_15054`
26×	`distribute-lft-neg-out_binary64_15041`
23×	`associate--r+_binary64_15018`
21×	`cube-prod_binary64_15110`
20×	`log-div_binary64_15169` `cube-div_binary64_15111`
19×	`distribute-rgt-neg-out_binary64_15042`
18×	`unsub-neg_binary64_15076` `*-rgt-identity_binary64_15072` `distribute-neg-in_binary64_15043`
16×	`distribute-rgt-out_binary64_15035`
15×	`associate-+r+_binary64_15014`
14×	`log-prod_binary64_15168` `unpow3_binary64_15148` `exp-prod_binary64_15134` `exp-sum_binary64_15128`
12×	`distribute-rgt-out--_binary64_15036`
10×	`unswap-sqr_binary64_15050`
8×	`cube-mult_binary64_15112`
7×	`exp-diff_binary64_15130`
6×	`difference-of-squares_binary64_15051`
5×	`cube-unmult_binary64_15119`
4×	`mul-1-neg_binary64_15074` `/-rgt-identity_binary64_15073` `distribute-rgt1-in_binary64_15038`
3×	`swap-sqr_binary64_15049`
2×	`log-rec_binary64_15170` `unpow2_binary64_15147` `unpow1/2_binary64_15146` `pow-plus_binary64_15145` `unpow1_binary64_15140` `rem-sqrt-square_binary64_15095` `distribute-lft-out--_binary64_15034`
1×	`prod-exp_binary64_15131` `1-exp_binary64_15126` `cube-neg_binary64_15109` `sqr-neg_binary64_15096` `*-lft-identity_binary64_15071` `remove-double-neg_binary64_15070` `div0_binary64_15063` `pow-sqr_binary64_15055` `distribute-lft1-in_binary64_15037` `associate--r-_binary64_15021` `associate-+l-_binary64_15017` `associate-+r-_binary64_15016`
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_15345` `erf-erfc_binary64_15344` `erf-odd_binary64_15343` `if-if-and-not_binary64_15342` `if-if-and_binary64_15341` `if-if-or-not_binary64_15340` `if-if-or_binary64_15339` `if-not_binary64_15338` `if-same_binary64_15337` `if-false_binary64_15336` `if-true_binary64_15335` `not-gte_binary64_15334` `not-lte_binary64_15333` `not-gt_binary64_15332` `not-lt_binary64_15331` `gte-same_binary64_15330` `lte-same_binary64_15329` `gt-same_binary64_15328` `lt-same_binary64_15327` `sinh---cosh_binary64_15274` `sinh-+-cosh_binary64_15273` `sinh-cosh_binary64_15272` `tanh-def-c_binary64_15271` `tanh-def-b_binary64_15270` `tanh-def-a_binary64_15269` `cosh-def_binary64_15268` `sinh-def_binary64_15267` `tan-neg_binary64_15214` `cos-neg_binary64_15213` `sin-neg_binary64_15212` `tan-0_binary64_15211` `cos-0_binary64_15210` `sin-0_binary64_15209` `hang-m-tan_binary64_15208` `hang-p-tan_binary64_15207` `hang-m0-tan_binary64_15206` `hang-p0-tan_binary64_15205` `hang-0m-tan_binary64_15204` `hang-0p-tan_binary64_15203` `tan-+PI/2_binary64_15202` `tan-+PI_binary64_15201` `tan-PI_binary64_15200` `tan-PI/3_binary64_15199` `tan-PI/4_binary64_15198` `tan-PI/6_binary64_15197` `cos-+PI/2_binary64_15196` `cos-+PI_binary64_15195` `cos-PI_binary64_15194` `cos-PI/2_binary64_15193` `cos-PI/3_binary64_15192` `cos-PI/4_binary64_15191` `cos-PI/6_binary64_15190` `sin-+PI/2_binary64_15189` `sin-+PI_binary64_15188` `sin-PI_binary64_15187` `sin-PI/2_binary64_15186` `sin-PI/3_binary64_15185` `sin-PI/4_binary64_15184` `sin-PI/6_binary64_15183` `sub-1-sin_binary64_15182` `sub-1-cos_binary64_15181` `-1-add-sin_binary64_15180` `-1-add-cos_binary64_15179` `1-sub-sin_binary64_15178` `1-sub-cos_binary64_15177` `cos-sin-sum_binary64_15176` `log-E_binary64_15172` `log-pow_binary64_15171` `pow-base-0_binary64_15166` `unpow1/3_binary64_15149` `exp-to-pow_binary64_15144` `pow-base-1_binary64_15142` `unpow0_binary64_15141` `unpow-1_binary64_15139` `exp-lft-cube_binary64_15138` `exp-lft-sqr_binary64_15137` `exp-cbrt_binary64_15136` `exp-sqrt_binary64_15135` `div-exp_binary64_15133` `rec-exp_binary64_15132` `exp-neg_binary64_15129` `e-exp-1_binary64_15127` `exp-1-e_binary64_15125` `exp-0_binary64_15124` `rem-log-exp_binary64_15123` `rem-exp-log_binary64_15122` `rem-3cbrt-rft_binary64_15108` `rem-3cbrt-lft_binary64_15107` `rem-cbrt-cube_binary64_15106` `rem-cube-cbrt_binary64_15105` `sqr-abs_binary64_15097` `rem-square-sqrt_binary64_15094` `sub0-neg_binary64_15069` `--rgt-identity_binary64_15068` `+-rgt-identity_binary64_15067` `+-lft-identity_binary64_15066` `mul0-rgt_binary64_15065` `mul0-lft_binary64_15064` `*-inverses_binary64_15062` `+-inverses_binary64_15061` `lft-mult-inverse_binary64_15060` `rgt-mult-inverse_binary64_15059` `remove-double-div_binary64_15058` `difference-of-sqr--1_binary64_15053` `difference-of-sqr-1_binary64_15052` `cancel-sign-sub_binary64_15047` `distribute-frac-neg_binary64_15045` `distribute-neg-out_binary64_15044` `distribute-lft-out_binary64_15033` `count-2_binary64_15030` `associate--l-_binary64_15020`

Counts

96 → 78

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	156	1933
1	456	1690
2	1469	1630
3	4768	1630
4	6232	1630

prune59.0ms (0.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	77	1	78
Fresh	1	3	4
Picked	0	1	1
Done	2	1	3
Total	80	6	86

Error

0.0b

Counts

86 → 6

Compiler

Compiled 1202 to 225 computations (81.3% saved)

regimes1.4s (11.9%)

Accuracy

Total 0.5b remaining (99.7%)

Threshold costs 0.5b (99.7%)

Compiler

Compiled 9065 to 6736 computations (25.7% saved)

bsearch6.0ms (0%)

Compiler: Compiled 9 to 9 computations (0% saved)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Rules

5×	`+-commutative_binary64_15012`
3×	`sub-neg_binary64_15075` `*-commutative_binary64_15013`
1×	`neg-mul-1_binary64_15078` `neg-sub0_binary64_15077`
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_15342` `if-if-and_binary64_15341` `if-if-or-not_binary64_15340` `if-if-or_binary64_15339` `if-not_binary64_15338` `if-same_binary64_15337` `if-false_binary64_15336` `if-true_binary64_15335` `tan-0_binary64_15211` `cos-0_binary64_15210` `sin-0_binary64_15209` `unpow1_binary64_15140` `e-exp-1_binary64_15127` `1-exp_binary64_15126` `exp-1-e_binary64_15125` `exp-0_binary64_15124` `sqr-abs_binary64_15097` `sqr-neg_binary64_15096` `unsub-neg_binary64_15076` `mul-1-neg_binary64_15074` `/-rgt-identity_binary64_15073` `-rgt-identity_binary64_15072` `-lft-identity_binary64_15071` `remove-double-neg_binary64_15070` `sub0-neg_binary64_15069` `--rgt-identity_binary64_15068` `+-rgt-identity_binary64_15067` `+-lft-identity_binary64_15066` `cancel-sign-sub-inv_binary64_15048` `cancel-sign-sub_binary64_15047` `distribute-neg-frac_binary64_15046` `distribute-frac-neg_binary64_15045` `distribute-neg-out_binary64_15044` `distribute-neg-in_binary64_15043` `distribute-rgt-neg-out_binary64_15042` `distribute-lft-neg-out_binary64_15041` `distribute-rgt-neg-in_binary64_15040` `distribute-lft-neg-in_binary64_15039`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	78
1	30	78
2	36	78
3	38	78
4	39	78
5	39	78

end0.0ms (0%)

sample1.6s (13.3%)

Algorithm

1×

intervals

Results

304.0ms	7999×	body	128	valid
24.0ms	690×	body	128	invalid
0.0ms	1×	body	512	valid

Compiler

Compiled 1171 to 848 computations (27.6% saved)

Details

analyze1.1s (9%)

sample24.0ms (0.2%)

simplify285.0ms (2.3%)

prune2.0ms (0%)

localize8.0ms (0.1%)

rewrite169.0ms (1.4%)

series1.3s (10.7%)

simplify104.0ms (0.9%)

prune108.0ms (0.9%)

localize13.0ms (0.1%)

rewrite170.0ms (1.4%)

series1.3s (10.9%)

simplify88.0ms (0.7%)

prune118.0ms (1%)

localize17.0ms (0.1%)

rewrite353.0ms (2.9%)

series2.2s (18%)

simplify229.0ms (1.9%)

prune205.0ms (1.7%)

localize8.0ms (0.1%)

rewrite63.0ms (0.5%)

series1.0s (8.6%)

simplify105.0ms (0.9%)

prune59.0ms (0.5%)

regimes1.4s (11.9%)

bsearch6.0ms (0%)

simplify6.0ms (0%)

end0.0ms (0%)

sample1.6s (13.3%)

Profiling