Details

analyze983.0ms (2.7%)

Algorithm

1×	search
2×	egg-herbie

Rules

55×	`associate-/l*_binary64_3774`
32×	`associate-/r/_binary64_3775`
31×	`associate-/r*_binary64_3773`
30×	`associate-*r/_binary64_3771`
23×	`*-commutative_binary64_3760`
20×	`times-frac_binary64_3835` `associate-*l/_binary64_3772`
18×	`associate-/l/_binary64_3776`
1×	`swap-a1-a2` `swap-b1-b2`
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` `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` `distribute-rgt-in_binary64_3779` `distribute-lft-in_binary64_3778` `count-2_binary64_3777` `associate-l_binary64_3770` `associate-r*_binary64_3769` `associate--r-_binary64_3768` `associate--l-_binary64_3767` `associate--l+_binary64_3766` `associate--r+_binary64_3765` `associate-+l-_binary64_3764` `associate-+r-_binary64_3763` `associate-+l+_binary64_3762` `associate-+r+_binary64_3761` `+-commutative_binary64_3759`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	70
1	61	70
2	146	70
3	223	70
4	228	70
5	228	70
0	4	4
1	4	4

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
18.7%	81.1%	0.2%	9
21.8%	78%	0.2%	10
25%	74.9%	0.2%	11
34.7%	64.9%	0.4%	12
47.2%	51.9%	0.9%	13
49%	49.2%	1.8%	14

Symmetry

(sort a1 a2)

(sort b1 b2)

Compiler

Compiled 8 to 8 computations (0% saved)

sample37.0ms (0.1%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
2.0ms	85×	body	128	invalid

Compiler

Compiled 15 to 19 computations (-26.7% saved)

simplify9.0ms (0%)

Algorithm

1×	egg-herbie

Rules

14×	`associate-/l*_binary64_3774`
9×	`associate-/r/_binary64_3775` `associate-*r/_binary64_3771`
7×	`*-commutative_binary64_3760`
6×	`associate-/r*_binary64_3773`
4×	`times-frac_binary64_3835` `associate-/l/_binary64_3776` `associate-*l/_binary64_3772`
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` `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` `distribute-rgt-in_binary64_3779` `distribute-lft-in_binary64_3778` `count-2_binary64_3777` `associate-l_binary64_3770` `associate-r*_binary64_3769` `associate--r-_binary64_3768` `associate--l-_binary64_3767` `associate--l+_binary64_3766` `associate--r+_binary64_3765` `associate-+l-_binary64_3764` `associate-+r-_binary64_3763` `associate-+l+_binary64_3762` `associate-+r+_binary64_3761` `+-commutative_binary64_3759`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	17	10
2	38	10
3	63	10
4	69	10
5	68	10
6	68	10

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

10.9b

Counts

1 → 1

Compiler

Compiled 7 to 7 computations (0% saved)

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

10.6b

(/.f64 (*.f64 a1 a2) (*.f64 b1 b2))

rewrite37.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

13×	`add-exp-log_binary64_3867` `add-cbrt-cube_binary64_3865`
4×	`prod-exp_binary64_3878` `div-exp_binary64_3880` `cbrt-undiv_binary64_3863` `cbrt-unprod_binary64_3862`
1×	`pow1_binary64_3890` `add-log-exp_binary64_3868` `add-cube-cbrt_binary64_3864` `add-sqr-sqrt_binary64_3851` `frac-2neg_binary64_3840` `times-frac_binary64_3835` `-un-lft-identity_binary64_3829` `clear-num_binary64_3828` `div-inv_binary64_3826` `associate-/l_binary64_3774` `associate-/r*_binary64_3773`

Counts

1 → 21

Calls

1 calls:

6.0ms

(/.f64 (*.f64 a1 a2) (*.f64 b1 b2))

Compiler

Compiled 291 to 77 computations (73.5% saved)

series290.0ms (0.8%)

Error

10.9b

Counts

1 → 12

Calls

1 calls:

285.0ms

(/.f64 (*.f64 a1 a2) (*.f64 b1 b2))

Compiler

Compiled 252 to 175 computations (30.6% saved)

simplify85.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

579×	`associate-/r*_binary64_3773`
393×	`associate-l_binary64_3770`
381×	`associate-*l/_binary64_3772`
297×	`associate-*r/_binary64_3771`
271×	`associate-r_binary64_3769`
251×	`div-sub_binary64_3834`
204×	`associate-/l/_binary64_3776`
181×	`times-frac_binary64_3835`
141×	`sub-neg_binary64_3822`
132×	`distribute-rgt-in_binary64_3779`
126×	`*-commutative_binary64_3760`
113×	`associate-/r/_binary64_3775`
98×	`sqr-pow_binary64_3801`
97×	`associate--r+_binary64_3765`
89×	`associate--l+_binary64_3766`
87×	`associate-/l*_binary64_3774`
73×	`distribute-lft-in_binary64_3778`
65×	`unswap-sqr_binary64_3797`
55×	`+-commutative_binary64_3759`
47×	`associate-+l-_binary64_3764` `associate-+l+_binary64_3762`
42×	`associate-+r+_binary64_3761`
40×	`distribute-neg-in_binary64_3790`
35×	`neg-mul-1_binary64_3825`
34×	`log-div_binary64_3916` `cube-div_binary64_3858` `swap-sqr_binary64_3796` `cancel-sign-sub-inv_binary64_3795`
31×	`neg-sub0_binary64_3824` `associate--r-_binary64_3768`
24×	`log-prod_binary64_3915`
23×	`unsub-neg_binary64_3823`
21×	`cube-prod_binary64_3857`
17×	`unpow3_binary64_3895` `cube-mult_binary64_3859`
15×	`sub0-neg_binary64_3816` `pow-sqr_binary64_3802`
14×	`associate-+r-_binary64_3763`
12×	`distribute-lft-neg-in_binary64_3786`
11×	`remove-double-neg_binary64_3817` `+-rgt-identity_binary64_3814`
10×	`--rgt-identity_binary64_3815`
8×	`associate--l-_binary64_3767`
7×	`exp-prod_binary64_3881` `cube-unmult_binary64_3866`
5×	`distribute-rgt-neg-in_binary64_3787`
4×	`mul0-rgt_binary64_3812` `mul0-lft_binary64_3811` `distribute-neg-out_binary64_3791` `distribute-lft-neg-out_binary64_3788` `distribute-lft-out--_binary64_3781`
2×	`exp-diff_binary64_3877` `*-lft-identity_binary64_3818` `+-lft-identity_binary64_3813`
1×	`exp-sum_binary64_3875` `1-exp_binary64_3873` `distribute-rgt-neg-out_binary64_3789` `distribute-lft-out_binary64_3780`
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` `pow-base-0_binary64_3913` `unpow1/3_binary64_3896` `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` `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-log-exp_binary64_3870` `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-sqrt-square_binary64_3842` `rem-square-sqrt_binary64_3841` `mul-1-neg_binary64_3821` `/-rgt-identity_binary64_3820` `-rgt-identity_binary64_3819` `div0_binary64_3810` `-inverses_binary64_3809` `+-inverses_binary64_3808` `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` `difference-of-squares_binary64_3798` `cancel-sign-sub_binary64_3794` `distribute-neg-frac_binary64_3793` `distribute-frac-neg_binary64_3792` `distribute-rgt1-in_binary64_3785` `distribute-lft1-in_binary64_3784` `distribute-rgt-out--_binary64_3783` `distribute-rgt-out_binary64_3782` `count-2_binary64_3777`

Counts

33 → 11

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	54	475
1	155	370
2	779	370
3	3457	370
4	3762	370
5	4079	370
6	4763	370
7	5076	370

prune14.0ms (0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	8	3	11
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	8	4	12

Error

0.1b

Counts

12 → 4

Compiler

Compiled 124 to 54 computations (56.5% saved)

localize6.0ms (0%)

Local error

Found 2 expressions with local error:

4.9b	(/.f64 b1 (/.f64 a2 b2))
7.2b	(/.f64 a1 (/.f64 b1 (/.f64 a2 b2)))

rewrite318.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

471×	`times-frac_binary64_3835`
229×	`add-cube-cbrt_binary64_3864` `add-sqr-sqrt_binary64_3851` `*-un-lft-identity_binary64_3829`
57×	`associate-/r*_binary64_3773`
22×	`div-inv_binary64_3826`
16×	`add-exp-log_binary64_3867` `add-cbrt-cube_binary64_3865`
9×	`div-exp_binary64_3880` `cbrt-undiv_binary64_3863`
6×	`associate-/r/_binary64_3775` `associate-/l*_binary64_3774`
2×	`pow1_binary64_3890` `add-log-exp_binary64_3868` `frac-2neg_binary64_3840` `clear-num_binary64_3828`

Counts

2 → 266

Calls

2 calls:

14.0ms	(/.f64 a1 (/.f64 b1 (/.f64 a2 b2)))
6.0ms	(/.f64 b1 (/.f64 a2 b2))

Compiler

Compiled 5203 to 1261 computations (75.8% saved)

series418.0ms (1.1%)

Error

0.1b

Counts

2 → 21

Calls

2 calls:

259.0ms	(/.f64 a1 (/.f64 b1 (/.f64 a2 b2)))
147.0ms	(/.f64 b1 (/.f64 a2 b2))

Compiler

Compiled 441 to 303 computations (31.3% saved)

simplify307.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

563×	`associate-/r/_binary64_3775`
414×	`associate-/l/_binary64_3776`
381×	`associate-*l/_binary64_3772`
332×	`associate-*r/_binary64_3771`
323×	`*-commutative_binary64_3760`
297×	`sub-neg_binary64_3822`
242×	`associate-/r*_binary64_3773`
168×	`associate-/l*_binary64_3774`
164×	`div-sub_binary64_3834`
111×	`associate-r_binary64_3769`
101×	`*-rgt-identity_binary64_3819`
98×	`times-frac_binary64_3835`
97×	`sqr-pow_binary64_3801`
74×	`associate--r+_binary64_3765`
73×	`unsub-neg_binary64_3823`
71×	`associate-+l-_binary64_3764`
68×	`neg-mul-1_binary64_3825` `associate--l-_binary64_3767`
63×	`associate--r-_binary64_3768`
59×	`associate-+r-_binary64_3763`
57×	`associate--l+_binary64_3766`
55×	`neg-sub0_binary64_3824`
54×	`log-div_binary64_3916` `associate-l_binary64_3770`
49×	`cube-prod_binary64_3857`
47×	`log-prod_binary64_3915`
43×	`associate-+r+_binary64_3761`
41×	`cube-div_binary64_3858`
39×	`associate-+l+_binary64_3762`
38×	`swap-sqr_binary64_3796`
35×	`exp-prod_binary64_3881` `cancel-sign-sub-inv_binary64_3795`
28×	`distribute-rgt-in_binary64_3779`
26×	`unswap-sqr_binary64_3797`
23×	`distribute-neg-in_binary64_3790` `distribute-lft-neg-in_binary64_3786` `+-commutative_binary64_3759`
22×	`distribute-rgt-neg-in_binary64_3787`
21×	`*-lft-identity_binary64_3818`
20×	`sub0-neg_binary64_3816` `remove-double-div_binary64_3805`
17×	`unpow3_binary64_3895` `cube-mult_binary64_3859` `distribute-neg-frac_binary64_3793`
15×	`/-rgt-identity_binary64_3820`
13×	`--rgt-identity_binary64_3815` `pow-sqr_binary64_3802`
11×	`+-rgt-identity_binary64_3814`
8×	`log-rec_binary64_3917` `unpow1/2_binary64_3893` `distribute-lft-in_binary64_3778`
7×	`cube-unmult_binary64_3866`
6×	`div0_binary64_3810`
5×	`remove-double-neg_binary64_3817`
4×	`distribute-lft-neg-out_binary64_3788`
3×	`exp-diff_binary64_3877` `exp-sum_binary64_3875`
2×	`+-lft-identity_binary64_3813` `distribute-neg-out_binary64_3791` `distribute-rgt-neg-out_binary64_3789`
1×	`1-exp_binary64_3873` `exp-1-e_binary64_3872` `rem-sqrt-square_binary64_3842` `mul0-rgt_binary64_3812` `mul0-lft_binary64_3811` `+-inverses_binary64_3808` `count-2_binary64_3777`
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` `pow-base-0_binary64_3913` `unpow1/3_binary64_3896` `unpow2_binary64_3894` `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` `div-exp_binary64_3880` `rec-exp_binary64_3879` `prod-exp_binary64_3878` `exp-neg_binary64_3876` `e-exp-1_binary64_3874` `exp-0_binary64_3871` `rem-log-exp_binary64_3870` `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` `mul-1-neg_binary64_3821` `*-inverses_binary64_3809` `lft-mult-inverse_binary64_3807` `rgt-mult-inverse_binary64_3806` `difference-of-sqr--1_binary64_3800` `difference-of-sqr-1_binary64_3799` `difference-of-squares_binary64_3798` `cancel-sign-sub_binary64_3794` `distribute-frac-neg_binary64_3792` `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`

Counts

287 → 207

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	448	6532
1	986	6310
2	3704	6307
3	3637	6307
4	4538	6307
5	4664	6307
6	4977	6307

prune191.0ms (0.5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	200	7	207
Fresh	1	1	2
Picked	0	1	1
Done	1	0	1
Total	202	9	211

Error

0.0b

Counts

211 → 9

Compiler

Compiled 3450 to 679 computations (80.3% saved)

localize15.0ms (0%)

Local error

Found 4 expressions with local error:

0.7b	(/.f64 1 (.f64 (.f64 (cbrt.f64 b1) (cbrt.f64 b1)) (*.f64 (cbrt.f64 b2) (cbrt.f64 b2))))
1.2b	(/.f64 (cbrt.f64 b1) (/.f64 a2 (cbrt.f64 b2)))
2.8b	(/.f64 a1 (/.f64 (cbrt.f64 b1) (/.f64 a2 (cbrt.f64 b2))))
3.7b	(.f64 (/.f64 1 (.f64 (.f64 (cbrt.f64 b1) (cbrt.f64 b1)) (.f64 (cbrt.f64 b2) (cbrt.f64 b2)))) (/.f64 a1 (/.f64 (cbrt.f64 b1) (/.f64 a2 (cbrt.f64 b2)))))

rewrite3.0s (8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

2783×	`times-frac_binary64_3835`
1315×	`add-sqr-sqrt_binary64_3851`
1282×	`add-cube-cbrt_binary64_3864` `*-un-lft-identity_binary64_3829`
977×	`cbrt-prod_binary64_3860`
416×	`associate-r_binary64_3769`
402×	`add-exp-log_binary64_3867`
184×	`prod-exp_binary64_3878`
160×	`associate-/r*_binary64_3773`
155×	`div-exp_binary64_3880`
108×	`add-cbrt-cube_binary64_3865`
70×	`cbrt-undiv_binary64_3863`
64×	`cbrt-unprod_binary64_3862`
61×	`div-inv_binary64_3826`
35×	`pow1_binary64_3890`
25×	`1-exp_binary64_3873` `rec-exp_binary64_3879`
20×	`pow-prod-down_binary64_3900`
14×	`pow-flip_binary64_3903`
12×	`associate-/l*_binary64_3774` `pow1/3_binary64_3911`
10×	`associate-/r/_binary64_3775`
8×	`unswap-sqr_binary64_3797`
7×	`associate-l_binary64_3770`
6×	`pow-prod-up_binary64_3899`
4×	`add-log-exp_binary64_3868` `pow-plus_binary64_3892` `pow-sqr_binary64_3802`
3×	`frac-2neg_binary64_3840` `clear-num_binary64_3828`
2×	`pow2_binary64_3910`
1×	`frac-times_binary64_3839` `associate-l/_binary64_3772` `associate-r/_binary64_3771` `*-commutative_binary64_3760` `inv-pow_binary64_3914`

Counts

4 → 1326

Calls

4 calls:

171.0ms	(.f64 (/.f64 1 (.f64 (.f64 (cbrt.f64 b1) (cbrt.f64 b1)) (.f64 (cbrt.f64 b2) (cbrt.f64 b2)))) (/.f64 a1 (/.f64 (cbrt.f64 b1) (/.f64 a2 (cbrt.f64 b2)))))
32.0ms	(/.f64 a1 (/.f64 (cbrt.f64 b1) (/.f64 a2 (cbrt.f64 b2))))
23.0ms	(/.f64 1 (.f64 (.f64 (cbrt.f64 b1) (cbrt.f64 b1)) (*.f64 (cbrt.f64 b2) (cbrt.f64 b2))))
10.0ms	(/.f64 (cbrt.f64 b1) (/.f64 a2 (cbrt.f64 b2)))

Compiler

Compiled 51812 to 10005 computations (80.7% saved)

series2.2s (6%)

Error

0.0b

Counts

4 → 39

Calls

4 calls:

824.0ms	(/.f64 a1 (/.f64 (cbrt.f64 b1) (/.f64 a2 (cbrt.f64 b2))))
505.0ms	(/.f64 (cbrt.f64 b1) (/.f64 a2 (cbrt.f64 b2)))
451.0ms	(/.f64 1 (.f64 (.f64 (cbrt.f64 b1) (cbrt.f64 b1)) (*.f64 (cbrt.f64 b2) (cbrt.f64 b2))))
380.0ms	(.f64 (/.f64 1 (.f64 (.f64 (cbrt.f64 b1) (cbrt.f64 b1)) (.f64 (cbrt.f64 b2) (cbrt.f64 b2)))) (/.f64 a1 (/.f64 (cbrt.f64 b1) (/.f64 a2 (cbrt.f64 b2)))))

Compiler

Compiled 2511 to 1762 computations (29.8% saved)

simplify1.1s (3.1%)

Algorithm

1×	egg-herbie

Rules

845×	`associate-/r/_binary64_3775`
478×	`*-commutative_binary64_3760`
430×	`associate-*r/_binary64_3771`
420×	`associate-*l/_binary64_3772`
170×	`associate-/l*_binary64_3774`
62×	`exp-prod_binary64_3881`
46×	`sub-neg_binary64_3822`
40×	`associate-+l-_binary64_3764`
34×	`log-prod_binary64_3915`
30×	`log-div_binary64_3916`
29×	`associate-/r*_binary64_3773`
27×	`associate-r_binary64_3769`
26×	`neg-mul-1_binary64_3825` `neg-sub0_binary64_3824` `associate-+r-_binary64_3763`
25×	`remove-double-div_binary64_3805`
24×	`associate-l_binary64_3770`
17×	`+-commutative_binary64_3759`
16×	`unpow1/3_binary64_3896` `exp-sum_binary64_3875`
12×	`cube-unmult_binary64_3866` `/-rgt-identity_binary64_3820`
11×	`log-rec_binary64_3917`
8×	`log-pow_binary64_3918` `exp-to-pow_binary64_3891` `distribute-rgt-in_binary64_3779` `distribute-lft-in_binary64_3778`
7×	`times-frac_binary64_3835` `unsub-neg_binary64_3823` `associate-/l/_binary64_3776`
6×	`sqr-pow_binary64_3801`
5×	`associate--r+_binary64_3765`
4×	`unswap-sqr_binary64_3797` `distribute-neg-in_binary64_3790`
3×	`unpow2_binary64_3894` `unpow1_binary64_3887`
2×	`pow-plus_binary64_3892` `rem-3cbrt-rft_binary64_3855` `rem-3cbrt-lft_binary64_3854` `*-lft-identity_binary64_3818` `swap-sqr_binary64_3796` `cancel-sign-sub-inv_binary64_3795` `distribute-neg-frac_binary64_3793` `count-2_binary64_3777` `associate--r-_binary64_3768` `associate-+l+_binary64_3762` `associate-+r+_binary64_3761`
1×	`unpow3_binary64_3895` `1-exp_binary64_3873` `cube-mult_binary64_3859` `rem-cube-cbrt_binary64_3852` `div-sub_binary64_3834` `mul-1-neg_binary64_3821` `*-rgt-identity_binary64_3819` `distribute-rgt-neg-in_binary64_3787` `distribute-lft-neg-in_binary64_3786`
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` `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` `exp-sqrt_binary64_3882` `div-exp_binary64_3880` `rec-exp_binary64_3879` `prod-exp_binary64_3878` `exp-diff_binary64_3877` `exp-neg_binary64_3876` `e-exp-1_binary64_3874` `exp-1-e_binary64_3872` `exp-0_binary64_3871` `rem-log-exp_binary64_3870` `rem-exp-log_binary64_3869` `cube-div_binary64_3858` `cube-prod_binary64_3857` `cube-neg_binary64_3856` `rem-cbrt-cube_binary64_3853` `sqr-abs_binary64_3844` `sqr-neg_binary64_3843` `rem-sqrt-square_binary64_3842` `rem-square-sqrt_binary64_3841` `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` `pow-sqr_binary64_3802` `difference-of-sqr--1_binary64_3800` `difference-of-sqr-1_binary64_3799` `difference-of-squares_binary64_3798` `cancel-sign-sub_binary64_3794` `distribute-frac-neg_binary64_3792` `distribute-neg-out_binary64_3791` `distribute-rgt-neg-out_binary64_3789` `distribute-lft-neg-out_binary64_3788` `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` `associate--l-_binary64_3767` `associate--l+_binary64_3766`

Counts

1365 → 911

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	1694	51547
1	4827	49543
2	4930	49521
3	4994	49521

prune1.3s (3.5%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	910	1	911
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	910	10	920

Error

Counts

920 → 10

Compiler

Compiled 30614 to 5889 computations (80.8% saved)

localize29.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.7b	(/.f64 1 (.f64 (.f64 (cbrt.f64 b1) (cbrt.f64 b1)) (*.f64 (cbrt.f64 b2) (cbrt.f64 b2))))
0.8b	(/.f64 (cbrt.f64 (cbrt.f64 b1)) (/.f64 a2 (cbrt.f64 (cbrt.f64 b2))))
1.5b	(/.f64 (cbrt.f64 a1) (/.f64 (cbrt.f64 (cbrt.f64 b1)) (/.f64 a2 (cbrt.f64 (cbrt.f64 b2)))))
4.8b	(.f64 (.f64 (/.f64 1 (.f64 (.f64 (cbrt.f64 b1) (cbrt.f64 b1)) (.f64 (cbrt.f64 b2) (cbrt.f64 b2)))) (/.f64 (.f64 (cbrt.f64 a1) (cbrt.f64 a1)) (.f64 (.f64 (cbrt.f64 (cbrt.f64 b1)) (cbrt.f64 (cbrt.f64 b1))) (cbrt.f64 (*.f64 (cbrt.f64 b2) (cbrt.f64 b2)))))) (/.f64 (cbrt.f64 a1) (/.f64 (cbrt.f64 (cbrt.f64 b1)) (/.f64 a2 (cbrt.f64 (cbrt.f64 b2))))))

rewrite15.8s (42.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

10746×	`times-frac_binary64_3835`
9051×	`cbrt-prod_binary64_3860`
4876×	`add-cube-cbrt_binary64_3864` `add-sqr-sqrt_binary64_3851` `*-un-lft-identity_binary64_3829`
3864×	`add-exp-log_binary64_3867`
2172×	`prod-exp_binary64_3878`
1709×	`associate-r_binary64_3769`
1361×	`div-exp_binary64_3880`
788×	`cbrt-unprod_binary64_3862`
695×	`add-cbrt-cube_binary64_3865`
556×	`cbrt-undiv_binary64_3863`
316×	`associate-/r*_binary64_3773`
145×	`1-exp_binary64_3873` `rec-exp_binary64_3879`
144×	`div-inv_binary64_3826`
38×	`pow1_binary64_3890`
22×	`pow-prod-down_binary64_3900`
18×	`associate-/l*_binary64_3774`
16×	`associate-/r/_binary64_3775`
14×	`pow-flip_binary64_3903`
12×	`pow1/3_binary64_3911`
6×	`pow-prod-up_binary64_3899`
5×	`frac-times_binary64_3839` `associate-*l/_binary64_3772`
4×	`add-log-exp_binary64_3868` `pow-plus_binary64_3892` `pow-sqr_binary64_3802`
3×	`associate-*r/_binary64_3771` `frac-2neg_binary64_3840` `clear-num_binary64_3828`
2×	`pow2_binary64_3910`
1×	`associate-l_binary64_3770` `*-commutative_binary64_3760` `inv-pow_binary64_3914`

Counts

4 → 4748

Calls

4 calls:

420.0ms	(.f64 (.f64 (/.f64 1 (.f64 (.f64 (cbrt.f64 b1) (cbrt.f64 b1)) (.f64 (cbrt.f64 b2) (cbrt.f64 b2)))) (/.f64 (.f64 (cbrt.f64 a1) (cbrt.f64 a1)) (.f64 (.f64 (cbrt.f64 (cbrt.f64 b1)) (cbrt.f64 (cbrt.f64 b1))) (cbrt.f64 (*.f64 (cbrt.f64 b2) (cbrt.f64 b2)))))) (/.f64 (cbrt.f64 a1) (/.f64 (cbrt.f64 (cbrt.f64 b1)) (/.f64 a2 (cbrt.f64 (cbrt.f64 b2))))))
89.0ms	(/.f64 (cbrt.f64 a1) (/.f64 (cbrt.f64 (cbrt.f64 b1)) (/.f64 a2 (cbrt.f64 (cbrt.f64 b2)))))
24.0ms	(/.f64 (cbrt.f64 (cbrt.f64 b1)) (/.f64 a2 (cbrt.f64 (cbrt.f64 b2))))
18.0ms	(/.f64 1 (.f64 (.f64 (cbrt.f64 b1) (cbrt.f64 b1)) (*.f64 (cbrt.f64 b2) (cbrt.f64 b2))))

Compiler

Compiled 321284 to 41708 computations (87% saved)

series2.6s (7.1%)

Error

Counts

4 → 39

Calls

4 calls:

1.1s	(/.f64 (cbrt.f64 a1) (/.f64 (cbrt.f64 (cbrt.f64 b1)) (/.f64 a2 (cbrt.f64 (cbrt.f64 b2)))))
542.0ms	(/.f64 (cbrt.f64 (cbrt.f64 b1)) (/.f64 a2 (cbrt.f64 (cbrt.f64 b2))))
453.0ms	(/.f64 1 (.f64 (.f64 (cbrt.f64 b1) (cbrt.f64 b1)) (*.f64 (cbrt.f64 b2) (cbrt.f64 b2))))
426.0ms	(.f64 (.f64 (/.f64 1 (.f64 (.f64 (cbrt.f64 b1) (cbrt.f64 b1)) (.f64 (cbrt.f64 b2) (cbrt.f64 b2)))) (/.f64 (.f64 (cbrt.f64 a1) (cbrt.f64 a1)) (.f64 (.f64 (cbrt.f64 (cbrt.f64 b1)) (cbrt.f64 (cbrt.f64 b1))) (cbrt.f64 (*.f64 (cbrt.f64 b2) (cbrt.f64 b2)))))) (/.f64 (cbrt.f64 a1) (/.f64 (cbrt.f64 (cbrt.f64 b1)) (/.f64 a2 (cbrt.f64 (cbrt.f64 b2))))))

Compiler

Compiled 4413 to 2382 computations (46% saved)

simplify2.4s (6.5%)

Algorithm

1×	egg-herbie

Rules

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 distribute-rgt-in_binary64_3779 distribute-lft-in_binary64_3778 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-*l*_binary64_3770 associate-*r*_binary64_3769 associate--r-_binary64_3768 associate--l-_binary64_3767 associate--l+_binary64_3766 associate--r+_binary64_3765 associate-+l-_binary64_3764 associate-+r-_binary64_3763 associate-+l+_binary64_3762 associate-+r+_binary64_3761 *-commutative_binary64_3760 +-commutative_binary64_3759

Counts

4787 → 305

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5441	345538

prune670.0ms (1.8%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	305	0	305
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	305	10	315

Error

Counts

315 → 10

Compiler

Compiled 23054 to 2138 computations (90.7% saved)

regimes2.1s (5.8%)

Accuracy

Total 3.1b remaining (100%)

Threshold costs 0b (0%)

Compiler

Compiled 19825 to 13425 computations (32.3% saved)

bsearch6.0ms (0%)

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

simplify43.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

7× *-commutative_binary64_3760

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	153
1	46	153
2	46	153

Compiler

Compiled 400 to 148 computations (63% saved)

end0.0ms (0%)

sample3.0s (8.1%)

Algorithm

1×

intervals

Results

217.0ms	8000×	body	128	valid
48.0ms	1889×	body	128	invalid

Compiler

Compiled 2859 to 1905 computations (33.4% saved)

Details

analyze983.0ms (2.7%)

sample37.0ms (0.1%)

simplify9.0ms (0%)

prune2.0ms (0%)

localize5.0ms (0%)

rewrite37.0ms (0.1%)

series290.0ms (0.8%)

simplify85.0ms (0.2%)

prune14.0ms (0%)

localize6.0ms (0%)

rewrite318.0ms (0.9%)

series418.0ms (1.1%)

simplify307.0ms (0.8%)

prune191.0ms (0.5%)

localize15.0ms (0%)

rewrite3.0s (8%)

series2.2s (6%)

simplify1.1s (3.1%)

prune1.3s (3.5%)

localize29.0ms (0.1%)

rewrite15.8s (42.7%)

series2.6s (7.1%)

simplify2.4s (6.5%)

prune670.0ms (1.8%)

regimes2.1s (5.8%)

bsearch6.0ms (0%)

simplify43.0ms (0.1%)

end0.0ms (0%)

sample3.0s (8.1%)

Profiling