Details

analyze581.0ms (2.8%)

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
3.1%	96.7%	0.2%	8
7.8%	92%	0.2%	9
11.7%	88.1%	0.2%	10
24.2%	64.7%	11.1%	11
27.9%	59.8%	12.3%	12
35%	52.5%	12.5%	13
38.6%	48.2%	13.2%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample21.0ms (0.1%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
1.0ms	52×	body	128	invalid

Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify149.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

8×	`+-commutative_binary64_3759`
4×	`associate-+l+_binary64_3762` `associate-+r+_binary64_3761`
3×	`*-commutative_binary64_3760`
2×	`distribute-rgt-in_binary64_3779` `distribute-lft-in_binary64_3778` `associate-l_binary64_3770`
1×	`associate-r_binary64_3769`
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_4092` `erf-erfc_binary64_4091` `erf-odd_binary64_4090` `if-if-and-not_binary64_4089` `if-if-and_binary64_4088` `if-if-or-not_binary64_4087` `if-if-or_binary64_4086` `if-not_binary64_4085` `if-same_binary64_4084` `if-false_binary64_4083` `if-true_binary64_4082` `not-gte_binary64_4081` `not-lte_binary64_4080` `not-gt_binary64_4079` `not-lt_binary64_4078` `gte-same_binary64_4077` `lte-same_binary64_4076` `gt-same_binary64_4075` `lt-same_binary64_4074` `sinh---cosh_binary64_4021` `sinh-+-cosh_binary64_4020` `sinh-cosh_binary64_4019` `tanh-def-c_binary64_4018` `tanh-def-b_binary64_4017` `tanh-def-a_binary64_4016` `cosh-def_binary64_4015` `sinh-def_binary64_4014` `tan-neg_binary64_3961` `cos-neg_binary64_3960` `sin-neg_binary64_3959` `tan-0_binary64_3958` `cos-0_binary64_3957` `sin-0_binary64_3956` `hang-m-tan_binary64_3955` `hang-p-tan_binary64_3954` `hang-m0-tan_binary64_3953` `hang-p0-tan_binary64_3952` `hang-0m-tan_binary64_3951` `hang-0p-tan_binary64_3950` `tan-+PI/2_binary64_3949` `tan-+PI_binary64_3948` `tan-PI_binary64_3947` `tan-PI/3_binary64_3946` `tan-PI/4_binary64_3945` `tan-PI/6_binary64_3944` `cos-+PI/2_binary64_3943` `cos-+PI_binary64_3942` `cos-PI_binary64_3941` `cos-PI/2_binary64_3940` `cos-PI/3_binary64_3939` `cos-PI/4_binary64_3938` `cos-PI/6_binary64_3937` `sin-+PI/2_binary64_3936` `sin-+PI_binary64_3935` `sin-PI_binary64_3934` `sin-PI/2_binary64_3933` `sin-PI/3_binary64_3932` `sin-PI/4_binary64_3931` `sin-PI/6_binary64_3930` `sub-1-sin_binary64_3929` `sub-1-cos_binary64_3928` `-1-add-sin_binary64_3927` `-1-add-cos_binary64_3926` `1-sub-sin_binary64_3925` `1-sub-cos_binary64_3924` `cos-sin-sum_binary64_3923` `log-E_binary64_3919` `log-pow_binary64_3918` `log-rec_binary64_3917` `log-div_binary64_3916` `log-prod_binary64_3915` `pow-base-0_binary64_3913` `unpow1/3_binary64_3896` `unpow3_binary64_3895` `unpow2_binary64_3894` `unpow1/2_binary64_3893` `pow-plus_binary64_3892` `exp-to-pow_binary64_3891` `pow-base-1_binary64_3889` `unpow0_binary64_3888` `unpow1_binary64_3887` `unpow-1_binary64_3886` `exp-lft-cube_binary64_3885` `exp-lft-sqr_binary64_3884` `exp-cbrt_binary64_3883` `exp-sqrt_binary64_3882` `exp-prod_binary64_3881` `div-exp_binary64_3880` `rec-exp_binary64_3879` `prod-exp_binary64_3878` `exp-diff_binary64_3877` `exp-neg_binary64_3876` `exp-sum_binary64_3875` `e-exp-1_binary64_3874` `1-exp_binary64_3873` `exp-1-e_binary64_3872` `exp-0_binary64_3871` `rem-log-exp_binary64_3870` `rem-exp-log_binary64_3869` `cube-unmult_binary64_3866` `cube-mult_binary64_3859` `cube-div_binary64_3858` `cube-prod_binary64_3857` `cube-neg_binary64_3856` `rem-3cbrt-rft_binary64_3855` `rem-3cbrt-lft_binary64_3854` `rem-cbrt-cube_binary64_3853` `rem-cube-cbrt_binary64_3852` `sqr-abs_binary64_3844` `sqr-neg_binary64_3843` `rem-sqrt-square_binary64_3842` `rem-square-sqrt_binary64_3841` `times-frac_binary64_3835` `div-sub_binary64_3834` `neg-mul-1_binary64_3825` `neg-sub0_binary64_3824` `unsub-neg_binary64_3823` `sub-neg_binary64_3822` `mul-1-neg_binary64_3821` `/-rgt-identity_binary64_3820` `-rgt-identity_binary64_3819` `-lft-identity_binary64_3818` `remove-double-neg_binary64_3817` `sub0-neg_binary64_3816` `--rgt-identity_binary64_3815` `+-rgt-identity_binary64_3814` `+-lft-identity_binary64_3813` `mul0-rgt_binary64_3812` `mul0-lft_binary64_3811` `div0_binary64_3810` `-inverses_binary64_3809` `+-inverses_binary64_3808` `lft-mult-inverse_binary64_3807` `rgt-mult-inverse_binary64_3806` `remove-double-div_binary64_3805` `pow-sqr_binary64_3802` `sqr-pow_binary64_3801` `difference-of-sqr--1_binary64_3800` `difference-of-sqr-1_binary64_3799` `difference-of-squares_binary64_3798` `unswap-sqr_binary64_3797` `swap-sqr_binary64_3796` `cancel-sign-sub-inv_binary64_3795` `cancel-sign-sub_binary64_3794` `distribute-neg-frac_binary64_3793` `distribute-frac-neg_binary64_3792` `distribute-neg-out_binary64_3791` `distribute-neg-in_binary64_3790` `distribute-rgt-neg-out_binary64_3789` `distribute-lft-neg-out_binary64_3788` `distribute-rgt-neg-in_binary64_3787` `distribute-lft-neg-in_binary64_3786` `distribute-rgt1-in_binary64_3785` `distribute-lft1-in_binary64_3784` `distribute-rgt-out--_binary64_3783` `distribute-rgt-out_binary64_3782` `distribute-lft-out--_binary64_3781` `distribute-lft-out_binary64_3780` `count-2_binary64_3777` `associate-/l/_binary64_3776` `associate-/r/_binary64_3775` `associate-/l_binary64_3774` `associate-/r_binary64_3773` `associate-l/_binary64_3772` `associate-*r/_binary64_3771` `associate--r-_binary64_3768` `associate--l-_binary64_3767` `associate--l+_binary64_3766` `associate--r+_binary64_3765` `associate-+l-_binary64_3764` `associate-+r-_binary64_3763`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	13	13
2	21	13
3	32	13
4	32	13

prune3.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

0.1b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 (+.f64 (.f64 x y) z) y) t)
0.0b	(+.f64 (*.f64 x y) z)
0.1b	(.f64 (+.f64 (.f64 x y) z) y)

rewrite60.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

7×	`add-log-exp_binary64_3868` `add-sqr-sqrt_binary64_3851`
5×	`pow1_binary64_3890` `add-exp-log_binary64_3867` `add-cbrt-cube_binary64_3865` `add-cube-cbrt_binary64_3864` `*-un-lft-identity_binary64_3829`
3×	`flip3-+_binary64_3832` `flip-+_binary64_3803` `associate-l_binary64_3770` `associate-r_binary64_3769`
2×	`associate-*l/_binary64_3772` `sum-log_binary64_3920` `+-commutative_binary64_3759`
1×	`pow-prod-down_binary64_3900` `prod-exp_binary64_3878` `cbrt-unprod_binary64_3862` `unswap-sqr_binary64_3797` `*-commutative_binary64_3760`

Counts

3 → 42

Calls

3 calls:

7.0ms	(+.f64 (.f64 (+.f64 (.f64 x y) z) y) t)
6.0ms	(.f64 (+.f64 (.f64 x y) z) y)
4.0ms	(+.f64 (*.f64 x y) z)

Compiler

Compiled 740 to 171 computations (76.9% saved)

series636.0ms (3.1%)

Error

0.1b

Counts

3 → 63

Calls

3 calls:

295.0ms	(+.f64 (.f64 (+.f64 (.f64 x y) z) y) t)
197.0ms	(.f64 (+.f64 (.f64 x y) z) y)
108.0ms	(+.f64 (*.f64 x y) z)

Compiler

Compiled 1302 to 938 computations (28% saved)

simplify189.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

650×	`associate-+l+_binary64_3762`
596×	`associate-+r+_binary64_3761`
340×	`associate-l_binary64_3770`
281×	`associate-r_binary64_3769`
263×	`distribute-rgt-in_binary64_3779`
247×	`distribute-lft-in_binary64_3778`
153×	`cancel-sign-sub-inv_binary64_3795`
148×	`unswap-sqr_binary64_3797`
108×	`distribute-rgt-out_binary64_3782`
104×	`times-frac_binary64_3835`
97×	`distribute-rgt-neg-in_binary64_3787`
86×	`associate--r+_binary64_3765`
76×	`distribute-neg-in_binary64_3790`
72×	`*-commutative_binary64_3760`
70×	`sqr-pow_binary64_3801` `distribute-lft-neg-in_binary64_3786`
64×	`associate-/r*_binary64_3773`
59×	`sub-neg_binary64_3822`
56×	`associate--l+_binary64_3766`
50×	`associate-/r/_binary64_3775` `associate-/l*_binary64_3774`
45×	`associate-+l-_binary64_3764`
40×	`pow-sqr_binary64_3802` `distribute-lft-out_binary64_3780`
38×	`associate-+r-_binary64_3763`
35×	`exp-prod_binary64_3881` `*-lft-identity_binary64_3818`
32×	`*-rgt-identity_binary64_3819` `distribute-lft-neg-out_binary64_3788`
31×	`neg-sub0_binary64_3824`
28×	`neg-mul-1_binary64_3825`
26×	`+-commutative_binary64_3759`
25×	`distribute-rgt-out--_binary64_3783`
23×	`cube-prod_binary64_3857` `associate-*l/_binary64_3772`
22×	`distribute-neg-frac_binary64_3793` `associate--l-_binary64_3767`
20×	`unsub-neg_binary64_3823`
19×	`associate-*r/_binary64_3771`
18×	`exp-sum_binary64_3875`
17×	`log-prod_binary64_3915`
16×	`distribute-rgt-neg-out_binary64_3789`
15×	`associate-/l/_binary64_3776`
13×	`cube-div_binary64_3858`
12×	`exp-sqrt_binary64_3882`
10×	`pow-plus_binary64_3892` `+-rgt-identity_binary64_3814`
9×	`log-div_binary64_3916` `unpow3_binary64_3895`
8×	`swap-sqr_binary64_3796`
7×	`cube-mult_binary64_3859`
6×	`cube-unmult_binary64_3866` `sub0-neg_binary64_3816`
4×	`difference-of-squares_binary64_3798`
3×	`log-pow_binary64_3918` `prod-exp_binary64_3878` `distribute-lft-out--_binary64_3781`
2×	`pow-base-1_binary64_3889` `distribute-rgt1-in_binary64_3785` `count-2_binary64_3777` `associate--r-_binary64_3768`
1×	`unpow2_binary64_3894` `unpow1_binary64_3887` `exp-lft-sqr_binary64_3884` `exp-diff_binary64_3877` `1-exp_binary64_3873` `exp-1-e_binary64_3872` `rem-log-exp_binary64_3870` `rem-sqrt-square_binary64_3842` `*-inverses_binary64_3809` `rgt-mult-inverse_binary64_3806`
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_4092` `erf-erfc_binary64_4091` `erf-odd_binary64_4090` `if-if-and-not_binary64_4089` `if-if-and_binary64_4088` `if-if-or-not_binary64_4087` `if-if-or_binary64_4086` `if-not_binary64_4085` `if-same_binary64_4084` `if-false_binary64_4083` `if-true_binary64_4082` `not-gte_binary64_4081` `not-lte_binary64_4080` `not-gt_binary64_4079` `not-lt_binary64_4078` `gte-same_binary64_4077` `lte-same_binary64_4076` `gt-same_binary64_4075` `lt-same_binary64_4074` `sinh---cosh_binary64_4021` `sinh-+-cosh_binary64_4020` `sinh-cosh_binary64_4019` `tanh-def-c_binary64_4018` `tanh-def-b_binary64_4017` `tanh-def-a_binary64_4016` `cosh-def_binary64_4015` `sinh-def_binary64_4014` `tan-neg_binary64_3961` `cos-neg_binary64_3960` `sin-neg_binary64_3959` `tan-0_binary64_3958` `cos-0_binary64_3957` `sin-0_binary64_3956` `hang-m-tan_binary64_3955` `hang-p-tan_binary64_3954` `hang-m0-tan_binary64_3953` `hang-p0-tan_binary64_3952` `hang-0m-tan_binary64_3951` `hang-0p-tan_binary64_3950` `tan-+PI/2_binary64_3949` `tan-+PI_binary64_3948` `tan-PI_binary64_3947` `tan-PI/3_binary64_3946` `tan-PI/4_binary64_3945` `tan-PI/6_binary64_3944` `cos-+PI/2_binary64_3943` `cos-+PI_binary64_3942` `cos-PI_binary64_3941` `cos-PI/2_binary64_3940` `cos-PI/3_binary64_3939` `cos-PI/4_binary64_3938` `cos-PI/6_binary64_3937` `sin-+PI/2_binary64_3936` `sin-+PI_binary64_3935` `sin-PI_binary64_3934` `sin-PI/2_binary64_3933` `sin-PI/3_binary64_3932` `sin-PI/4_binary64_3931` `sin-PI/6_binary64_3930` `sub-1-sin_binary64_3929` `sub-1-cos_binary64_3928` `-1-add-sin_binary64_3927` `-1-add-cos_binary64_3926` `1-sub-sin_binary64_3925` `1-sub-cos_binary64_3924` `cos-sin-sum_binary64_3923` `log-E_binary64_3919` `log-rec_binary64_3917` `pow-base-0_binary64_3913` `unpow1/3_binary64_3896` `unpow1/2_binary64_3893` `exp-to-pow_binary64_3891` `unpow0_binary64_3888` `unpow-1_binary64_3886` `exp-lft-cube_binary64_3885` `exp-cbrt_binary64_3883` `div-exp_binary64_3880` `rec-exp_binary64_3879` `exp-neg_binary64_3876` `e-exp-1_binary64_3874` `exp-0_binary64_3871` `rem-exp-log_binary64_3869` `cube-neg_binary64_3856` `rem-3cbrt-rft_binary64_3855` `rem-3cbrt-lft_binary64_3854` `rem-cbrt-cube_binary64_3853` `rem-cube-cbrt_binary64_3852` `sqr-abs_binary64_3844` `sqr-neg_binary64_3843` `rem-square-sqrt_binary64_3841` `div-sub_binary64_3834` `mul-1-neg_binary64_3821` `/-rgt-identity_binary64_3820` `remove-double-neg_binary64_3817` `--rgt-identity_binary64_3815` `+-lft-identity_binary64_3813` `mul0-rgt_binary64_3812` `mul0-lft_binary64_3811` `div0_binary64_3810` `+-inverses_binary64_3808` `lft-mult-inverse_binary64_3807` `remove-double-div_binary64_3805` `difference-of-sqr--1_binary64_3800` `difference-of-sqr-1_binary64_3799` `cancel-sign-sub_binary64_3794` `distribute-frac-neg_binary64_3792` `distribute-neg-out_binary64_3791` `distribute-lft1-in_binary64_3784`

Counts

105 → 180

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	80	1244
1	219	1124
2	641	1112
3	2088	1112

prune145.0ms (0.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	175	5	180
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	175	6	181

Error

0.0b

Counts

181 → 6

Compiler

Compiled 3025 to 482 computations (84.1% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (+.f64 (.f64 x y) z)) (cbrt.f64 (+.f64 (*.f64 x y) z)))
0.6b	(cbrt.f64 (+.f64 z (*.f64 y x)))
0.6b	(cbrt.f64 (+.f64 (*.f64 x y) z))
0.6b	(cbrt.f64 (+.f64 (*.f64 x y) z))

rewrite142.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`cbrt-prod_binary64_3860`
23×	`add-sqr-sqrt_binary64_3851`
18×	`cbrt-div_binary64_3861`
15×	`add-cube-cbrt_binary64_3864` `*-un-lft-identity_binary64_3829`
11×	`pow1_binary64_3890`
9×	`pow1/3_binary64_3911` `flip3-+_binary64_3832` `flip-+_binary64_3803`
6×	`add-exp-log_binary64_3867` `swap-sqr_binary64_3796` `associate-l_binary64_3770` `associate-r_binary64_3769`
4×	`add-log-exp_binary64_3868` `add-cbrt-cube_binary64_3865` `frac-times_binary64_3839` `unswap-sqr_binary64_3797`
2×	`pow-prod-down_binary64_3900` `pow-prod-up_binary64_3899` `pow-sqr_binary64_3802` `associate-l/_binary64_3772` `associate-r/_binary64_3771`
1×	`pow2_binary64_3910` `pow-plus_binary64_3892` `prod-exp_binary64_3878` `cbrt-unprod_binary64_3862` `*-commutative_binary64_3760`

Counts

4 → 87

Calls

4 calls:

12.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 x y) z)) (cbrt.f64 (+.f64 (*.f64 x y) z)))
4.0ms	(cbrt.f64 (+.f64 (*.f64 x y) z))
4.0ms	(cbrt.f64 (+.f64 (*.f64 x y) z))
2.0ms	(cbrt.f64 (+.f64 z (*.f64 y x)))

Compiler

Compiled 3008 to 541 computations (82% saved)

series1.2s (5.7%)

Error

0.0b

Counts

4 → 66

Calls

4 calls:

324.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 x y) z)) (cbrt.f64 (+.f64 (*.f64 x y) z)))
274.0ms	(cbrt.f64 (+.f64 (*.f64 x y) z))
255.0ms	(cbrt.f64 (+.f64 (*.f64 x y) z))
245.0ms	(cbrt.f64 (+.f64 z (*.f64 y x)))

Compiler

Compiled 6349 to 4170 computations (34.3% saved)

simplify1.5s (7.3%)

Algorithm

1×	egg-herbie

Rules

266×	`*-commutative_binary64_3760`
261×	`unswap-sqr_binary64_3797`
230×	`associate-/l*_binary64_3774`
221×	`cancel-sign-sub-inv_binary64_3795`
215×	`exp-prod_binary64_3881`
196×	`times-frac_binary64_3835`
178×	`associate-*l/_binary64_3772`
157×	`exp-sum_binary64_3875`
152×	`div-sub_binary64_3834`
149×	`sqr-pow_binary64_3801`
142×	`unsub-neg_binary64_3823`
128×	`associate-*r/_binary64_3771`
123×	`associate-r_binary64_3769`
119×	`distribute-rgt-in_binary64_3779`
114×	`sub-neg_binary64_3822`
110×	`associate-/r_binary64_3773` `associate-l*_binary64_3770`
98×	`distribute-lft-in_binary64_3778`
91×	`associate-/r/_binary64_3775`
81×	`exp-diff_binary64_3877`
66×	`log-prod_binary64_3915` `pow-sqr_binary64_3802`
60×	`neg-mul-1_binary64_3825`
59×	`neg-sub0_binary64_3824`
53×	`distribute-rgt-neg-in_binary64_3787`
52×	`log-div_binary64_3916`
50×	`cube-prod_binary64_3857` `distribute-lft-neg-in_binary64_3786`
47×	`swap-sqr_binary64_3796` `distribute-neg-frac_binary64_3793`
40×	`cube-div_binary64_3858`
38×	`exp-to-pow_binary64_3891` `+-commutative_binary64_3759`
37×	`exp-sqrt_binary64_3882`
32×	`distribute-lft-neg-out_binary64_3788`
25×	`*-rgt-identity_binary64_3819` `associate-/l/_binary64_3776`
24×	`associate-+r-_binary64_3763`
23×	`*-lft-identity_binary64_3818`
22×	`distribute-rgt-out_binary64_3782`
21×	`associate-+l-_binary64_3764`
20×	`exp-neg_binary64_3876` `distribute-frac-neg_binary64_3792`
18×	`associate-+l+_binary64_3762`
15×	`pow-plus_binary64_3892` `distribute-rgt-neg-out_binary64_3789`
14×	`log-pow_binary64_3918` `unpow1/3_binary64_3896` `associate-+r+_binary64_3761`
13×	`+-rgt-identity_binary64_3814`
12×	`distribute-lft-out--_binary64_3781` `distribute-lft-out_binary64_3780` `associate--r-_binary64_3768` `associate--r+_binary64_3765`
11×	`exp-lft-sqr_binary64_3884` `sub0-neg_binary64_3816`
10×	`associate--l-_binary64_3767`
9×	`unpow3_binary64_3895` `/-rgt-identity_binary64_3820` `mul0-lft_binary64_3811` `distribute-rgt-out--_binary64_3783`
8×	`cube-mult_binary64_3859` `difference-of-squares_binary64_3798` `distribute-neg-out_binary64_3791` `associate--l+_binary64_3766`
7×	`log-rec_binary64_3917` `rem-sqrt-square_binary64_3842` `mul0-rgt_binary64_3812`
6×	`cube-unmult_binary64_3866` `distribute-neg-in_binary64_3790`
5×	`remove-double-neg_binary64_3817` `count-2_binary64_3777`
4×	`unpow2_binary64_3894`
3×	`unpow1_binary64_3887` `rem-exp-log_binary64_3869` `rem-3cbrt-lft_binary64_3854` `--rgt-identity_binary64_3815`
2×	`prod-exp_binary64_3878`
1×	`pow-base-1_binary64_3889` `1-exp_binary64_3873` `exp-1-e_binary64_3872` `rem-log-exp_binary64_3870` `rem-3cbrt-rft_binary64_3855` `rem-cbrt-cube_binary64_3853` `rem-square-sqrt_binary64_3841` `*-inverses_binary64_3809` `+-inverses_binary64_3808` `distribute-lft1-in_binary64_3784`
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_4092` `erf-erfc_binary64_4091` `erf-odd_binary64_4090` `if-if-and-not_binary64_4089` `if-if-and_binary64_4088` `if-if-or-not_binary64_4087` `if-if-or_binary64_4086` `if-not_binary64_4085` `if-same_binary64_4084` `if-false_binary64_4083` `if-true_binary64_4082` `not-gte_binary64_4081` `not-lte_binary64_4080` `not-gt_binary64_4079` `not-lt_binary64_4078` `gte-same_binary64_4077` `lte-same_binary64_4076` `gt-same_binary64_4075` `lt-same_binary64_4074` `sinh---cosh_binary64_4021` `sinh-+-cosh_binary64_4020` `sinh-cosh_binary64_4019` `tanh-def-c_binary64_4018` `tanh-def-b_binary64_4017` `tanh-def-a_binary64_4016` `cosh-def_binary64_4015` `sinh-def_binary64_4014` `tan-neg_binary64_3961` `cos-neg_binary64_3960` `sin-neg_binary64_3959` `tan-0_binary64_3958` `cos-0_binary64_3957` `sin-0_binary64_3956` `hang-m-tan_binary64_3955` `hang-p-tan_binary64_3954` `hang-m0-tan_binary64_3953` `hang-p0-tan_binary64_3952` `hang-0m-tan_binary64_3951` `hang-0p-tan_binary64_3950` `tan-+PI/2_binary64_3949` `tan-+PI_binary64_3948` `tan-PI_binary64_3947` `tan-PI/3_binary64_3946` `tan-PI/4_binary64_3945` `tan-PI/6_binary64_3944` `cos-+PI/2_binary64_3943` `cos-+PI_binary64_3942` `cos-PI_binary64_3941` `cos-PI/2_binary64_3940` `cos-PI/3_binary64_3939` `cos-PI/4_binary64_3938` `cos-PI/6_binary64_3937` `sin-+PI/2_binary64_3936` `sin-+PI_binary64_3935` `sin-PI_binary64_3934` `sin-PI/2_binary64_3933` `sin-PI/3_binary64_3932` `sin-PI/4_binary64_3931` `sin-PI/6_binary64_3930` `sub-1-sin_binary64_3929` `sub-1-cos_binary64_3928` `-1-add-sin_binary64_3927` `-1-add-cos_binary64_3926` `1-sub-sin_binary64_3925` `1-sub-cos_binary64_3924` `cos-sin-sum_binary64_3923` `log-E_binary64_3919` `pow-base-0_binary64_3913` `unpow1/2_binary64_3893` `unpow0_binary64_3888` `unpow-1_binary64_3886` `exp-lft-cube_binary64_3885` `exp-cbrt_binary64_3883` `div-exp_binary64_3880` `rec-exp_binary64_3879` `e-exp-1_binary64_3874` `exp-0_binary64_3871` `cube-neg_binary64_3856` `rem-cube-cbrt_binary64_3852` `sqr-abs_binary64_3844` `sqr-neg_binary64_3843` `mul-1-neg_binary64_3821` `+-lft-identity_binary64_3813` `div0_binary64_3810` `lft-mult-inverse_binary64_3807` `rgt-mult-inverse_binary64_3806` `remove-double-div_binary64_3805` `difference-of-sqr--1_binary64_3800` `difference-of-sqr-1_binary64_3799` `cancel-sign-sub_binary64_3794` `distribute-rgt1-in_binary64_3785`

Counts

153 → 426

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	208	3528
1	491	3312
2	1367	3182
3	3102	2848

prune620.0ms (3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	426	0	426
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	426	6	432

Error

0.0b

Counts

432 → 6

Compiler

Compiled 15385 to 3710 computations (75.9% saved)

localize23.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) t)) (cbrt.f64 (+.f64 (.f64 (+.f64 (*.f64 x y) z) y) t)))
0.6b	(cbrt.f64 (+.f64 t (.f64 y (+.f64 z (.f64 y x)))))
0.6b	(cbrt.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) t))
0.6b	(cbrt.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) t))

rewrite167.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

25×	`cbrt-prod_binary64_3860`
23×	`add-sqr-sqrt_binary64_3851`
18×	`cbrt-div_binary64_3861`
15×	`add-cube-cbrt_binary64_3864` `*-un-lft-identity_binary64_3829`
11×	`pow1_binary64_3890`
9×	`pow1/3_binary64_3911` `flip3-+_binary64_3832` `flip-+_binary64_3803`
6×	`add-exp-log_binary64_3867` `swap-sqr_binary64_3796` `associate-l_binary64_3770` `associate-r_binary64_3769`
4×	`add-log-exp_binary64_3868` `add-cbrt-cube_binary64_3865` `frac-times_binary64_3839` `unswap-sqr_binary64_3797`
2×	`pow-prod-down_binary64_3900` `pow-prod-up_binary64_3899` `pow-sqr_binary64_3802` `associate-l/_binary64_3772` `associate-r/_binary64_3771`
1×	`pow2_binary64_3910` `pow-plus_binary64_3892` `prod-exp_binary64_3878` `cbrt-unprod_binary64_3862` `*-commutative_binary64_3760`

Counts

4 → 87

Calls

4 calls:

18.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) t)) (cbrt.f64 (+.f64 (.f64 (+.f64 (*.f64 x y) z) y) t)))
7.0ms	(cbrt.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) t))
7.0ms	(cbrt.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) t))
2.0ms	(cbrt.f64 (+.f64 t (.f64 y (+.f64 z (.f64 y x)))))

Compiler

Compiled 4124 to 375 computations (90.9% saved)

series3.3s (15.8%)

Error

0.0b

Counts

4 → 102

Calls

4 calls:

1.1s	(.f64 (cbrt.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) t)) (cbrt.f64 (+.f64 (.f64 (+.f64 (*.f64 x y) z) y) t)))
654.0ms	(cbrt.f64 (+.f64 t (.f64 y (+.f64 z (.f64 y x)))))
647.0ms	(cbrt.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) t))
644.0ms	(cbrt.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) t))

Compiler

Compiled 15721 to 10330 computations (34.3% saved)

simplify1.4s (6.6%)

Algorithm

1×	egg-herbie

Rules

361×	`associate-r_binary64_3769`
302×	`cancel-sign-sub-inv_binary64_3795`
266×	`associate-l_binary64_3770`
222×	`*-commutative_binary64_3760`
184×	`distribute-rgt-neg-in_binary64_3787`
181×	`times-frac_binary64_3835`
179×	`sqr-pow_binary64_3801`
175×	`associate-/l*_binary64_3774`
168×	`associate-/r*_binary64_3773`
158×	`distribute-lft-neg-in_binary64_3786`
116×	`unswap-sqr_binary64_3797`
108×	`associate-*r/_binary64_3771`
98×	`+-commutative_binary64_3759`
96×	`associate-*l/_binary64_3772`
88×	`sub-neg_binary64_3822`
82×	`distribute-lft-neg-out_binary64_3788`
81×	`distribute-rgt-out_binary64_3782`
71×	`pow-sqr_binary64_3802`
67×	`distribute-neg-frac_binary64_3793`
64×	`neg-mul-1_binary64_3825` `distribute-rgt-in_binary64_3779`
61×	`neg-sub0_binary64_3824`
60×	`distribute-lft-in_binary64_3778`
57×	`exp-sum_binary64_3875`
51×	`associate-+l+_binary64_3762`
45×	`exp-prod_binary64_3881`
41×	`distribute-neg-in_binary64_3790`
34×	`log-prod_binary64_3915`
33×	`distribute-rgt-neg-out_binary64_3789` `associate-+r+_binary64_3761`
31×	`associate--l+_binary64_3766`
30×	`unsub-neg_binary64_3823`
29×	`unpow1/3_binary64_3896`
26×	`associate-/r/_binary64_3775`
18×	`/-rgt-identity_binary64_3820` `distribute-rgt-out--_binary64_3783`
17×	`*-rgt-identity_binary64_3819`
15×	`*-lft-identity_binary64_3818`
14×	`log-div_binary64_3916`
13×	`exp-diff_binary64_3877` `div-sub_binary64_3834`
12×	`distribute-neg-out_binary64_3791`
11×	`cube-prod_binary64_3857`
9×	`log-pow_binary64_3918` `pow-plus_binary64_3892`
8×	`swap-sqr_binary64_3796`
7×	`log-rec_binary64_3917` `unpow2_binary64_3894` `unpow1_binary64_3887` `remove-double-neg_binary64_3817`
6×	`cube-unmult_binary64_3866` `distribute-lft-out_binary64_3780`
5×	`unpow3_binary64_3895` `cube-mult_binary64_3859` `rem-sqrt-square_binary64_3842` `associate--r-_binary64_3768`
4×	`difference-of-squares_binary64_3798`
3×	`cube-div_binary64_3858` `rem-3cbrt-lft_binary64_3854` `distribute-lft-out--_binary64_3781` `count-2_binary64_3777`
2×	`exp-sqrt_binary64_3882` `--rgt-identity_binary64_3815` `cancel-sign-sub_binary64_3794` `associate-+l-_binary64_3764` `associate-+r-_binary64_3763`
1×	`prod-exp_binary64_3878` `1-exp_binary64_3873` `exp-1-e_binary64_3872` `rem-log-exp_binary64_3870` `rem-3cbrt-rft_binary64_3855` `rem-cbrt-cube_binary64_3853` `rem-square-sqrt_binary64_3841` `*-inverses_binary64_3809` `+-inverses_binary64_3808` `distribute-lft1-in_binary64_3784` `associate--r+_binary64_3765`
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_4092` `erf-erfc_binary64_4091` `erf-odd_binary64_4090` `if-if-and-not_binary64_4089` `if-if-and_binary64_4088` `if-if-or-not_binary64_4087` `if-if-or_binary64_4086` `if-not_binary64_4085` `if-same_binary64_4084` `if-false_binary64_4083` `if-true_binary64_4082` `not-gte_binary64_4081` `not-lte_binary64_4080` `not-gt_binary64_4079` `not-lt_binary64_4078` `gte-same_binary64_4077` `lte-same_binary64_4076` `gt-same_binary64_4075` `lt-same_binary64_4074` `sinh---cosh_binary64_4021` `sinh-+-cosh_binary64_4020` `sinh-cosh_binary64_4019` `tanh-def-c_binary64_4018` `tanh-def-b_binary64_4017` `tanh-def-a_binary64_4016` `cosh-def_binary64_4015` `sinh-def_binary64_4014` `tan-neg_binary64_3961` `cos-neg_binary64_3960` `sin-neg_binary64_3959` `tan-0_binary64_3958` `cos-0_binary64_3957` `sin-0_binary64_3956` `hang-m-tan_binary64_3955` `hang-p-tan_binary64_3954` `hang-m0-tan_binary64_3953` `hang-p0-tan_binary64_3952` `hang-0m-tan_binary64_3951` `hang-0p-tan_binary64_3950` `tan-+PI/2_binary64_3949` `tan-+PI_binary64_3948` `tan-PI_binary64_3947` `tan-PI/3_binary64_3946` `tan-PI/4_binary64_3945` `tan-PI/6_binary64_3944` `cos-+PI/2_binary64_3943` `cos-+PI_binary64_3942` `cos-PI_binary64_3941` `cos-PI/2_binary64_3940` `cos-PI/3_binary64_3939` `cos-PI/4_binary64_3938` `cos-PI/6_binary64_3937` `sin-+PI/2_binary64_3936` `sin-+PI_binary64_3935` `sin-PI_binary64_3934` `sin-PI/2_binary64_3933` `sin-PI/3_binary64_3932` `sin-PI/4_binary64_3931` `sin-PI/6_binary64_3930` `sub-1-sin_binary64_3929` `sub-1-cos_binary64_3928` `-1-add-sin_binary64_3927` `-1-add-cos_binary64_3926` `1-sub-sin_binary64_3925` `1-sub-cos_binary64_3924` `cos-sin-sum_binary64_3923` `log-E_binary64_3919` `pow-base-0_binary64_3913` `unpow1/2_binary64_3893` `exp-to-pow_binary64_3891` `pow-base-1_binary64_3889` `unpow0_binary64_3888` `unpow-1_binary64_3886` `exp-lft-cube_binary64_3885` `exp-lft-sqr_binary64_3884` `exp-cbrt_binary64_3883` `div-exp_binary64_3880` `rec-exp_binary64_3879` `exp-neg_binary64_3876` `e-exp-1_binary64_3874` `exp-0_binary64_3871` `rem-exp-log_binary64_3869` `cube-neg_binary64_3856` `rem-cube-cbrt_binary64_3852` `sqr-abs_binary64_3844` `sqr-neg_binary64_3843` `mul-1-neg_binary64_3821` `sub0-neg_binary64_3816` `+-rgt-identity_binary64_3814` `+-lft-identity_binary64_3813` `mul0-rgt_binary64_3812` `mul0-lft_binary64_3811` `div0_binary64_3810` `lft-mult-inverse_binary64_3807` `rgt-mult-inverse_binary64_3806` `remove-double-div_binary64_3805` `difference-of-sqr--1_binary64_3800` `difference-of-sqr-1_binary64_3799` `distribute-frac-neg_binary64_3792` `distribute-rgt1-in_binary64_3785` `associate-/l/_binary64_3776` `associate--l-_binary64_3767`

Counts

189 → 457

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	392	7566
1	1128	6922
2	3809	6324

prune890.0ms (4.3%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	456	1	457
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	456	7	463

Error

Counts

463 → 7

Compiler

Compiled 22975 to 5408 computations (76.5% saved)

localize28.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 t (.f64 y (+.f64 z (.f64 y x)))))) (*.f64 2 3)))
0.6b	(cbrt.f64 (cbrt.f64 (+.f64 t (.f64 y (+.f64 z (.f64 y x))))))
0.6b	(cbrt.f64 (cbrt.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) t)))
1.3b	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 t (.f64 y (+.f64 z (.f64 y x)))))) (*.f64 2 3))

rewrite187.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

49×	`cbrt-prod_binary64_3860`
18×	`unpow-prod-down_binary64_3908`
15×	`add-cube-cbrt_binary64_3864` `add-sqr-sqrt_binary64_3851` `*-un-lft-identity_binary64_3829`
8×	`cbrt-div_binary64_3861`
5×	`pow1_binary64_3890` `add-exp-log_binary64_3867`
4×	`pow1/3_binary64_3911` `add-log-exp_binary64_3868` `add-cbrt-cube_binary64_3865`
2×	`pow-pow_binary64_3901` `sqr-pow_binary64_3801` `flip3-+_binary64_3832` `flip-+_binary64_3803`
1×	`pow-unpow_binary64_3906` `pow-to-exp_binary64_3898` `pow-exp_binary64_3897`

Counts

4 → 75

Calls

4 calls:

8.0ms	(cbrt.f64 (cbrt.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) t)))
5.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 t (.f64 y (+.f64 z (.f64 y x)))))) (*.f64 2 3)))
5.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 t (.f64 y (+.f64 z (.f64 y x)))))) (*.f64 2 3))
3.0ms	(cbrt.f64 (cbrt.f64 (+.f64 t (.f64 y (+.f64 z (.f64 y x))))))

Compiler

Compiled 4827 to 980 computations (79.7% saved)

series5.3s (25.3%)

Error

Counts

4 → 84

Calls

4 calls:

3.3s	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 t (.f64 y (+.f64 z (.f64 y x)))))) (*.f64 2 3))
698.0ms	(cbrt.f64 (cbrt.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) t)))
597.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 t (.f64 y (+.f64 z (.f64 y x)))))) (*.f64 2 3)))
400.0ms	(cbrt.f64 (cbrt.f64 (+.f64 t (.f64 y (+.f64 z (.f64 y x))))))

Compiler

Compiled 16283 to 9545 computations (41.4% saved)

simplify708.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

313×	`associate-r_binary64_3769`
310×	`cancel-sign-sub-inv_binary64_3795`
258×	`sqr-pow_binary64_3801`
245×	`associate-/l*_binary64_3774`
234×	`times-frac_binary64_3835`
216×	`*-commutative_binary64_3760`
200×	`associate-/r*_binary64_3773`
197×	`associate-l_binary64_3770`
141×	`unswap-sqr_binary64_3797`
139×	`associate-*r/_binary64_3771`
134×	`pow-sqr_binary64_3802`
124×	`associate-*l/_binary64_3772`
110×	`+-commutative_binary64_3759`
94×	`sub-neg_binary64_3822`
68×	`neg-mul-1_binary64_3825`
65×	`neg-sub0_binary64_3824`
57×	`exp-sum_binary64_3875`
53×	`associate-+l+_binary64_3762`
49×	`distribute-rgt-neg-in_binary64_3787`
47×	`distribute-rgt-in_binary64_3779` `distribute-lft-in_binary64_3778`
36×	`exp-prod_binary64_3881` `associate--l+_binary64_3766`
35×	`associate-/r/_binary64_3775`
33×	`associate-+r+_binary64_3761`
31×	`unsub-neg_binary64_3823`
29×	`distribute-lft-neg-in_binary64_3786`
26×	`log-prod_binary64_3915`
24×	`distribute-lft-neg-out_binary64_3788`
15×	`log-pow_binary64_3918` `/-rgt-identity_binary64_3820`
13×	`exp-diff_binary64_3877` `div-sub_binary64_3834`
12×	`pow-plus_binary64_3892`
11×	`log-div_binary64_3916` `distribute-rgt-out_binary64_3782`
9×	`unpow1/3_binary64_3896`
8×	`unpow2_binary64_3894` `unpow1_binary64_3887` `cube-unmult_binary64_3866` `swap-sqr_binary64_3796` `distribute-rgt-neg-out_binary64_3789`
7×	`remove-double-neg_binary64_3817`
6×	`log-rec_binary64_3917` `distribute-lft-out_binary64_3780`
5×	`unpow3_binary64_3895` `cube-mult_binary64_3859` `distribute-neg-frac_binary64_3793` `associate--r-_binary64_3768`
4×	`cube-prod_binary64_3857` `*-lft-identity_binary64_3818` `difference-of-squares_binary64_3798`
3×	`pow-base-1_binary64_3889` `rem-3cbrt-lft_binary64_3854` `*-rgt-identity_binary64_3819` `distribute-rgt-out--_binary64_3783` `distribute-lft-out--_binary64_3781`
2×	`--rgt-identity_binary64_3815` `cancel-sign-sub_binary64_3794` `distribute-neg-in_binary64_3790` `associate-/l/_binary64_3776` `associate-+l-_binary64_3764` `associate-+r-_binary64_3763`
1×	`1-exp_binary64_3873` `rem-log-exp_binary64_3870` `rem-sqrt-square_binary64_3842` `*-inverses_binary64_3809` `+-inverses_binary64_3808` `associate--r+_binary64_3765`
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_4092` `erf-erfc_binary64_4091` `erf-odd_binary64_4090` `if-if-and-not_binary64_4089` `if-if-and_binary64_4088` `if-if-or-not_binary64_4087` `if-if-or_binary64_4086` `if-not_binary64_4085` `if-same_binary64_4084` `if-false_binary64_4083` `if-true_binary64_4082` `not-gte_binary64_4081` `not-lte_binary64_4080` `not-gt_binary64_4079` `not-lt_binary64_4078` `gte-same_binary64_4077` `lte-same_binary64_4076` `gt-same_binary64_4075` `lt-same_binary64_4074` `sinh---cosh_binary64_4021` `sinh-+-cosh_binary64_4020` `sinh-cosh_binary64_4019` `tanh-def-c_binary64_4018` `tanh-def-b_binary64_4017` `tanh-def-a_binary64_4016` `cosh-def_binary64_4015` `sinh-def_binary64_4014` `tan-neg_binary64_3961` `cos-neg_binary64_3960` `sin-neg_binary64_3959` `tan-0_binary64_3958` `cos-0_binary64_3957` `sin-0_binary64_3956` `hang-m-tan_binary64_3955` `hang-p-tan_binary64_3954` `hang-m0-tan_binary64_3953` `hang-p0-tan_binary64_3952` `hang-0m-tan_binary64_3951` `hang-0p-tan_binary64_3950` `tan-+PI/2_binary64_3949` `tan-+PI_binary64_3948` `tan-PI_binary64_3947` `tan-PI/3_binary64_3946` `tan-PI/4_binary64_3945` `tan-PI/6_binary64_3944` `cos-+PI/2_binary64_3943` `cos-+PI_binary64_3942` `cos-PI_binary64_3941` `cos-PI/2_binary64_3940` `cos-PI/3_binary64_3939` `cos-PI/4_binary64_3938` `cos-PI/6_binary64_3937` `sin-+PI/2_binary64_3936` `sin-+PI_binary64_3935` `sin-PI_binary64_3934` `sin-PI/2_binary64_3933` `sin-PI/3_binary64_3932` `sin-PI/4_binary64_3931` `sin-PI/6_binary64_3930` `sub-1-sin_binary64_3929` `sub-1-cos_binary64_3928` `-1-add-sin_binary64_3927` `-1-add-cos_binary64_3926` `1-sub-sin_binary64_3925` `1-sub-cos_binary64_3924` `cos-sin-sum_binary64_3923` `log-E_binary64_3919` `pow-base-0_binary64_3913` `unpow1/2_binary64_3893` `exp-to-pow_binary64_3891` `unpow0_binary64_3888` `unpow-1_binary64_3886` `exp-lft-cube_binary64_3885` `exp-lft-sqr_binary64_3884` `exp-cbrt_binary64_3883` `exp-sqrt_binary64_3882` `div-exp_binary64_3880` `rec-exp_binary64_3879` `prod-exp_binary64_3878` `exp-neg_binary64_3876` `e-exp-1_binary64_3874` `exp-1-e_binary64_3872` `exp-0_binary64_3871` `rem-exp-log_binary64_3869` `cube-div_binary64_3858` `cube-neg_binary64_3856` `rem-3cbrt-rft_binary64_3855` `rem-cbrt-cube_binary64_3853` `rem-cube-cbrt_binary64_3852` `sqr-abs_binary64_3844` `sqr-neg_binary64_3843` `rem-square-sqrt_binary64_3841` `mul-1-neg_binary64_3821` `sub0-neg_binary64_3816` `+-rgt-identity_binary64_3814` `+-lft-identity_binary64_3813` `mul0-rgt_binary64_3812` `mul0-lft_binary64_3811` `div0_binary64_3810` `lft-mult-inverse_binary64_3807` `rgt-mult-inverse_binary64_3806` `remove-double-div_binary64_3805` `difference-of-sqr--1_binary64_3800` `difference-of-sqr-1_binary64_3799` `distribute-frac-neg_binary64_3792` `distribute-neg-out_binary64_3791` `distribute-rgt1-in_binary64_3785` `distribute-lft1-in_binary64_3784` `count-2_binary64_3777` `associate--l-_binary64_3767`

Counts

159 → 520

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	458	5986
1	1281	5718
2	4135	5570

prune1.5s (7.3%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	520	0	520
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	520	7	527

Error

Counts

527 → 7

Compiler

Compiled 35161 to 7766 computations (77.9% saved)

regimes587.0ms (2.8%)

Accuracy

Total 0.1b remaining (91.3%)

Threshold costs 0.1b (91.3%)

Compiler

Compiled 6040 to 3890 computations (35.6% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

2× *-commutative_binary64_3760 +-commutative_binary64_3759

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_4089 if-if-and_binary64_4088 if-if-or-not_binary64_4087 if-if-or_binary64_4086 if-not_binary64_4085 if-same_binary64_4084 if-false_binary64_4083 if-true_binary64_4082 tan-0_binary64_3958 cos-0_binary64_3957 sin-0_binary64_3956 unpow1_binary64_3887 e-exp-1_binary64_3874 1-exp_binary64_3873 exp-1-e_binary64_3872 exp-0_binary64_3871 sqr-abs_binary64_3844 sqr-neg_binary64_3843 neg-mul-1_binary64_3825 neg-sub0_binary64_3824 unsub-neg_binary64_3823 sub-neg_binary64_3822 mul-1-neg_binary64_3821 /-rgt-identity_binary64_3820 *-rgt-identity_binary64_3819 *-lft-identity_binary64_3818 remove-double-neg_binary64_3817 sub0-neg_binary64_3816 --rgt-identity_binary64_3815 +-rgt-identity_binary64_3814 +-lft-identity_binary64_3813 cancel-sign-sub-inv_binary64_3795 cancel-sign-sub_binary64_3794 distribute-neg-frac_binary64_3793 distribute-frac-neg_binary64_3792 distribute-neg-out_binary64_3791 distribute-neg-in_binary64_3790 distribute-rgt-neg-out_binary64_3789 distribute-lft-neg-out_binary64_3788 distribute-rgt-neg-in_binary64_3787 distribute-lft-neg-in_binary64_3786

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	13	13

Proof

(+ f64 (=> (* f64 (+ f64 (* f64 h0 h1) h2) h1)) h3)
*-commutative_binary64_3760 =>
(+ f64 (* f64 h1 (+ f64 (* f64 h0 h1) h2)) h3)

end0.0ms (0%)

sample1.5s (7.1%)

Algorithm

1×

intervals

Results

232.0ms	8000×	body	128	valid
55.0ms	1756×	body	128	invalid

Compiler

Compiled 1019 to 659 computations (35.3% saved)

Details

analyze581.0ms (2.8%)

sample21.0ms (0.1%)

simplify149.0ms (0.7%)

prune3.0ms (0%)

localize11.0ms (0.1%)

rewrite60.0ms (0.3%)

series636.0ms (3.1%)

simplify189.0ms (0.9%)

prune145.0ms (0.7%)

localize14.0ms (0.1%)

rewrite142.0ms (0.7%)

series1.2s (5.7%)

simplify1.5s (7.3%)

prune620.0ms (3%)

localize23.0ms (0.1%)

rewrite167.0ms (0.8%)

series3.3s (15.8%)

simplify1.4s (6.6%)

prune890.0ms (4.3%)

localize28.0ms (0.1%)

rewrite187.0ms (0.9%)

series5.3s (25.3%)

simplify708.0ms (3.4%)

prune1.5s (7.3%)

regimes587.0ms (2.8%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.5s (7.1%)

Profiling