Details

analyze150.0ms (4.9%)

Algorithm

1×	search
2×	egg-herbie

Rules

2×	`+-commutative_binary64_3759`
1×	`1-exp_binary64_3873`
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` `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`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	12
1	11	12
2	10	12
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	50%	0%	2
50%	25%	25%	3
62.5%	12.5%	25%	4
68.7%	6.2%	25%	5
71.8%	3.1%	25%	6
73.4%	1.6%	25%	7
74.2%	0.8%	25%	8
74.6%	0.4%	25%	9
74.8%	0.2%	25%	10
74.9%	0.1%	25%	11
74.9%	0%	25%	12
74.9%	0%	25%	13
74.9%	0%	25%	14

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample15.0ms (0.5%)

Algorithm

1×

intervals

Results

7.0ms

256×

body

128

valid

Compiler

Compiled 17 to 16 computations (5.9% saved)

simplify8.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64_3759`
1×	`1-exp_binary64_3873`
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` `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`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	12
1	11	12
2	10	12

prune2.0ms (0.1%)

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

0.2b

Counts

1 → 1

Compiler

Compiled 8 to 7 computations (12.5% saved)

localize5.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(sqrt.f64 (+.f64 x 1))
0.0b	(+.f64 1 (sqrt.f64 (+.f64 x 1)))
0.2b	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))

rewrite108.0ms (3.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

42×	`*-un-lft-identity_binary64_3829`
26×	`add-sqr-sqrt_binary64_3851`
21×	`distribute-lft-out_binary64_3780`
18×	`times-frac_binary64_3835`
15×	`add-cube-cbrt_binary64_3864`
14×	`sqrt-prod_binary64_3845`
6×	`associate-/r*_binary64_3773`
5×	`add-exp-log_binary64_3867` `add-log-exp_binary64_3868` `add-cbrt-cube_binary64_3865`
4×	`pow1_binary64_3890`
3×	`flip3-+_binary64_3832` `flip-+_binary64_3803` `associate-/l*_binary64_3774`
2×	`associate-/r/_binary64_3775` `sqrt-div_binary64_3846`
1×	`div-exp_binary64_3880` `cbrt-undiv_binary64_3863` `frac-2neg_binary64_3840` `clear-num_binary64_3828` `div-inv_binary64_3826` `sum-log_binary64_3920` `+-commutative_binary64_3759` `pow1/2_binary64_3909` `sqrt-pow1_binary64_3847` `rem-sqrt-square_binary64_3842`

Counts

3 → 71

Calls

3 calls:

8.0ms	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
6.0ms	(+.f64 1 (sqrt.f64 (+.f64 x 1)))
3.0ms	(sqrt.f64 (+.f64 x 1))

Compiler

Compiled 1133 to 876 computations (22.7% saved)

series116.0ms (3.8%)

Error

0.2b

Counts

3 → 18

Calls

3 calls:

52.0ms	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
24.0ms	(+.f64 1 (sqrt.f64 (+.f64 x 1)))
23.0ms	(sqrt.f64 (+.f64 x 1))

Compiler

Compiled 446 to 364 computations (18.4% saved)

simplify90.0ms (3%)

Algorithm

1×	egg-herbie

Rules

443×	`sub-neg_binary64_3822`
341×	`associate-/r*_binary64_3773`
327×	`associate-/l/_binary64_3776`
306×	`associate-*l/_binary64_3772`
257×	`cancel-sign-sub-inv_binary64_3795`
256×	`div-sub_binary64_3834`
254×	`associate-/r/_binary64_3775`
208×	`distribute-rgt-in_binary64_3779`
202×	`times-frac_binary64_3835`
180×	`associate-*r/_binary64_3771`
160×	`distribute-lft-in_binary64_3778`
158×	`associate-+l-_binary64_3764`
129×	`associate-/l*_binary64_3774`
99×	`associate--l+_binary64_3766`
79×	`distribute-rgt-out_binary64_3782`
78×	`associate-r_binary64_3769`
75×	`neg-mul-1_binary64_3825` `distribute-rgt-neg-in_binary64_3787` `associate-l_binary64_3770`
67×	`distribute-lft-neg-in_binary64_3786`
64×	`neg-sub0_binary64_3824`
60×	`associate--r+_binary64_3765`
58×	`unsub-neg_binary64_3823`
55×	`associate-+r+_binary64_3761` `+-commutative_binary64_3759`
45×	`distribute-rgt-out--_binary64_3783`
44×	`associate-+l+_binary64_3762` `*-commutative_binary64_3760`
43×	`associate--l-_binary64_3767`
38×	`log-div_binary64_3916` `cube-div_binary64_3858`
36×	`distribute-lft-out--_binary64_3781`
35×	`log-prod_binary64_3915`
34×	`cube-prod_binary64_3857`
31×	`distribute-lft-out_binary64_3780`
30×	`unswap-sqr_binary64_3797`
28×	`associate-+r-_binary64_3763`
27×	`sqr-pow_binary64_3801`
22×	`exp-prod_binary64_3881`
21×	`distribute-rgt1-in_binary64_3785`
20×	`distribute-neg-frac_binary64_3793`
17×	`*-rgt-identity_binary64_3819`
16×	`+-rgt-identity_binary64_3814`
14×	`/-rgt-identity_binary64_3820`
13×	`*-lft-identity_binary64_3818` `swap-sqr_binary64_3796` `distribute-neg-in_binary64_3790`
12×	`unpow3_binary64_3895`
11×	`sub0-neg_binary64_3816`
10×	`cube-unmult_binary64_3866`
8×	`log-rec_binary64_3917` `distribute-lft1-in_binary64_3784`
7×	`pow-plus_binary64_3892`
6×	`cube-mult_binary64_3859` `difference-of-squares_binary64_3798`
5×	`rem-sqrt-square_binary64_3842`
4×	`associate--r-_binary64_3768`
3×	`log-pow_binary64_3918` `unpow1/2_binary64_3893` `exp-sum_binary64_3875` `remove-double-div_binary64_3805` `difference-of-sqr--1_binary64_3800` `difference-of-sqr-1_binary64_3799` `distribute-frac-neg_binary64_3792` `distribute-lft-neg-out_binary64_3788`
2×	`exp-diff_binary64_3877` `pow-sqr_binary64_3802` `distribute-rgt-neg-out_binary64_3789` `count-2_binary64_3777`
1×	`unpow2_binary64_3894` `unpow1_binary64_3887` `prod-exp_binary64_3878` `1-exp_binary64_3873` `exp-1-e_binary64_3872` `rem-square-sqrt_binary64_3841` `div0_binary64_3810` `*-inverses_binary64_3809` `+-inverses_binary64_3808`
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` `unpow1/3_binary64_3896` `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` `exp-sqrt_binary64_3882` `div-exp_binary64_3880` `rec-exp_binary64_3879` `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` `mul-1-neg_binary64_3821` `remove-double-neg_binary64_3817` `--rgt-identity_binary64_3815` `+-lft-identity_binary64_3813` `mul0-rgt_binary64_3812` `mul0-lft_binary64_3811` `lft-mult-inverse_binary64_3807` `rgt-mult-inverse_binary64_3806` `cancel-sign-sub_binary64_3794` `distribute-neg-out_binary64_3791`

Counts

89 → 42

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	121	1318
1	262	1240
2	589	1219
3	1591	1202
4	4159	1202
5	4923	1202

prune43.0ms (1.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	39	3	42
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	39	4	43

Error

Counts

43 → 4

Compiler

Compiled 549 to 404 computations (26.4% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)

rewrite90.0ms (3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

25×	`cbrt-prod_binary64_3860`
23×	`add-sqr-sqrt_binary64_3851`
15×	`add-cube-cbrt_binary64_3864` `*-un-lft-identity_binary64_3829`
11×	`pow1_binary64_3890`
9×	`pow1/3_binary64_3911`
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` `unswap-sqr_binary64_3797`
2×	`pow-prod-down_binary64_3900` `pow-prod-up_binary64_3899` `pow-sqr_binary64_3802`
1×	`pow2_binary64_3910` `pow-plus_binary64_3892` `prod-exp_binary64_3878` `cbrt-unprod_binary64_3862` `*-commutative_binary64_3760`

Counts

4 → 73

Calls

4 calls:

7.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

Compiler

Compiled 1451 to 670 computations (53.8% saved)

series470.0ms (15.5%)

Error

Counts

4 → 12

Calls

4 calls:

126.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
125.0ms	(cbrt.f64 x)
104.0ms	(cbrt.f64 x)
103.0ms	(cbrt.f64 x)

Compiler

Compiled 627 to 477 computations (23.9% saved)

simplify98.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

586×	`log-prod_binary64_3915`
416×	`sqr-pow_binary64_3801`
335×	`associate-l_binary64_3770`
309×	`*-commutative_binary64_3760`
277×	`distribute-rgt-neg-in_binary64_3787`
257×	`distribute-lft-neg-in_binary64_3786`
227×	`associate-r_binary64_3769`
188×	`exp-prod_binary64_3881`
161×	`log-pow_binary64_3918`
149×	`cube-prod_binary64_3857`
128×	`pow-sqr_binary64_3802`
124×	`unswap-sqr_binary64_3797`
111×	`swap-sqr_binary64_3796`
104×	`associate-/l*_binary64_3774`
81×	`cancel-sign-sub-inv_binary64_3795`
75×	`associate-+l+_binary64_3762`
69×	`associate-+r+_binary64_3761`
61×	`distribute-rgt-in_binary64_3779`
60×	`distribute-lft-out_binary64_3780`
57×	`distribute-lft-in_binary64_3778`
54×	`neg-sub0_binary64_3824`
53×	`neg-mul-1_binary64_3825`
48×	`distribute-rgt-out_binary64_3782`
45×	`+-commutative_binary64_3759`
43×	`pow-plus_binary64_3892` `rem-sqrt-square_binary64_3842`
41×	`times-frac_binary64_3835` `sub-neg_binary64_3822`
37×	`associate-/r/_binary64_3775`
35×	`associate-*r/_binary64_3771`
32×	`unpow3_binary64_3895`
31×	`-rgt-identity_binary64_3819` `-lft-identity_binary64_3818` `associate-/l/_binary64_3776`
29×	`count-2_binary64_3777`
27×	`cube-mult_binary64_3859`
24×	`associate-/r*_binary64_3773`
17×	`log-div_binary64_3916` `cube-div_binary64_3858` `distribute-neg-frac_binary64_3793`
13×	`cube-unmult_binary64_3866` `distribute-rgt1-in_binary64_3785`
11×	`distribute-rgt-neg-out_binary64_3789`
10×	`unpow1/2_binary64_3893`
9×	`distribute-lft-neg-out_binary64_3788` `distribute-lft1-in_binary64_3784`
8×	`unpow2_binary64_3894` `associate-*l/_binary64_3772`
5×	`unpow1_binary64_3887`
3×	`unpow1/3_binary64_3896`
2×	`exp-sqrt_binary64_3882` `rem-3cbrt-lft_binary64_3854` `rem-cbrt-cube_binary64_3853` `mul-1-neg_binary64_3821`
1×	`exp-lft-sqr_binary64_3884` `1-exp_binary64_3873` `exp-1-e_binary64_3872` `rem-3cbrt-rft_binary64_3855` `rem-square-sqrt_binary64_3841` `sub0-neg_binary64_3816` `--rgt-identity_binary64_3815` `associate-+l-_binary64_3764`
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` `exp-to-pow_binary64_3891` `pow-base-1_binary64_3889` `unpow0_binary64_3888` `unpow-1_binary64_3886` `exp-lft-cube_binary64_3885` `exp-cbrt_binary64_3883` `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` `exp-0_binary64_3871` `rem-log-exp_binary64_3870` `rem-exp-log_binary64_3869` `cube-neg_binary64_3856` `rem-cube-cbrt_binary64_3852` `sqr-abs_binary64_3844` `sqr-neg_binary64_3843` `div-sub_binary64_3834` `unsub-neg_binary64_3823` `/-rgt-identity_binary64_3820` `remove-double-neg_binary64_3817` `+-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` `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-neg-in_binary64_3790` `distribute-rgt-out--_binary64_3783` `distribute-lft-out--_binary64_3781` `associate--r-_binary64_3768` `associate--l-_binary64_3767` `associate--l+_binary64_3766` `associate--r+_binary64_3765` `associate-+r-_binary64_3763`

Counts

85 → 50

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	56	718
1	97	666
2	308	646
3	1135	632
4	2034	548
5	3257	548
6	4939	548
7	4873	548

prune51.0ms (1.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	50	0	50
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	50	4	54

Error

Counts

54 → 4

Compiler

Compiled 876 to 518 computations (40.9% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(.f64 x (+.f64 1/2 (.f64 x -1/8)))
10.1b	(/.f64 x (+.f64 2 (.f64 x (+.f64 1/2 (.f64 x -1/8)))))

rewrite70.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

14×	`add-sqr-sqrt_binary64_3851`
12×	`add-cube-cbrt_binary64_3864` `*-un-lft-identity_binary64_3829`
9×	`times-frac_binary64_3835`
6×	`add-exp-log_binary64_3867` `add-cbrt-cube_binary64_3865`
4×	`pow1_binary64_3890`
3×	`associate-/l_binary64_3774` `associate-/r_binary64_3773` `associate-l_binary64_3770` `associate-r_binary64_3769`
2×	`add-log-exp_binary64_3868` `flip3-+_binary64_3832` `associate-/r/_binary64_3775` `flip-+_binary64_3803` `associate-*r/_binary64_3771`
1×	`div-exp_binary64_3880` `cbrt-undiv_binary64_3863` `frac-2neg_binary64_3840` `clear-num_binary64_3828` `div-inv_binary64_3826` `pow-prod-down_binary64_3900` `prod-exp_binary64_3878` `cbrt-unprod_binary64_3862` `unswap-sqr_binary64_3797` `distribute-rgt-in_binary64_3779` `distribute-lft-in_binary64_3778` `*-commutative_binary64_3760`

Counts

2 → 51

Calls

2 calls:

6.0ms	(.f64 x (+.f64 1/2 (.f64 x -1/8)))
5.0ms	(/.f64 x (+.f64 2 (.f64 x (+.f64 1/2 (.f64 x -1/8)))))

Compiler

Compiled 1087 to 807 computations (25.8% saved)

series144.0ms (4.7%)

Error

Counts

2 → 13

Calls

2 calls:

81.0ms	(.f64 x (+.f64 1/2 (.f64 x -1/8)))
53.0ms	(/.f64 x (+.f64 2 (.f64 x (+.f64 1/2 (.f64 x -1/8)))))

Compiler

Compiled 354 to 301 computations (15% saved)

simplify99.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

816×	`div-sub_binary64_3834`
518×	`associate-/r*_binary64_3773`
363×	`distribute-rgt-in_binary64_3779`
353×	`distribute-lft-in_binary64_3778`
215×	`associate-/l*_binary64_3774`
206×	`*-commutative_binary64_3760`
160×	`associate-*l/_binary64_3772`
152×	`cancel-sign-sub-inv_binary64_3795`
119×	`distribute-rgt-neg-in_binary64_3787`
114×	`times-frac_binary64_3835`
103×	`exp-prod_binary64_3881`
101×	`associate-*r/_binary64_3771`
94×	`sub-neg_binary64_3822`
93×	`distribute-neg-in_binary64_3790`
92×	`associate-l_binary64_3770`
88×	`distribute-rgt-neg-out_binary64_3789` `distribute-lft-neg-in_binary64_3786`
86×	`distribute-lft-neg-out_binary64_3788`
82×	`unswap-sqr_binary64_3797`
81×	`unsub-neg_binary64_3823`
78×	`associate-r_binary64_3769`
77×	`distribute-neg-frac_binary64_3793`
64×	`associate-/l/_binary64_3776`
63×	`associate-+r+_binary64_3761`
60×	`neg-mul-1_binary64_3825` `neg-sub0_binary64_3824`
59×	`associate-+l+_binary64_3762`
55×	`sqr-pow_binary64_3801`
53×	`cube-div_binary64_3858` `*-lft-identity_binary64_3818`
51×	`*-rgt-identity_binary64_3819`
45×	`associate-/r/_binary64_3775`
43×	`cube-prod_binary64_3857`
40×	`log-div_binary64_3916`
30×	`distribute-rgt-out_binary64_3782`
27×	`swap-sqr_binary64_3796`
26×	`log-prod_binary64_3915`
23×	`exp-sum_binary64_3875` `distribute-frac-neg_binary64_3792` `associate--r+_binary64_3765`
20×	`+-commutative_binary64_3759`
15×	`unpow3_binary64_3895` `exp-diff_binary64_3877` `associate-+l-_binary64_3764`
14×	`distribute-rgt-out--_binary64_3783`
12×	`cube-mult_binary64_3859` `/-rgt-identity_binary64_3820`
11×	`distribute-lft-out_binary64_3780`
10×	`associate-+r-_binary64_3763`
9×	`log-rec_binary64_3917`
8×	`remove-double-neg_binary64_3817` `+-rgt-identity_binary64_3814` `distribute-neg-out_binary64_3791`
7×	`sub0-neg_binary64_3816`
6×	`pow-sqr_binary64_3802` `distribute-lft-out--_binary64_3781`
5×	`unpow1/2_binary64_3893` `associate--l+_binary64_3766`
4×	`pow-plus_binary64_3892` `remove-double-div_binary64_3805`
3×	`log-pow_binary64_3918` `cube-unmult_binary64_3866` `cube-neg_binary64_3856` `sqr-neg_binary64_3843` `rem-sqrt-square_binary64_3842` `cancel-sign-sub_binary64_3794` `associate--r-_binary64_3768`
2×	`count-2_binary64_3777` `associate--l-_binary64_3767`
1×	`unpow2_binary64_3894` `unpow1_binary64_3887` `prod-exp_binary64_3878` `1-exp_binary64_3873` `exp-1-e_binary64_3872` `mul0-rgt_binary64_3812` `mul0-lft_binary64_3811` `+-inverses_binary64_3808` `difference-of-sqr--1_binary64_3800`
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` `unpow1/3_binary64_3896` `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` `exp-sqrt_binary64_3882` `div-exp_binary64_3880` `rec-exp_binary64_3879` `exp-neg_binary64_3876` `e-exp-1_binary64_3874` `exp-0_binary64_3871` `rem-log-exp_binary64_3870` `rem-exp-log_binary64_3869` `rem-3cbrt-rft_binary64_3855` `rem-3cbrt-lft_binary64_3854` `rem-cbrt-cube_binary64_3853` `rem-cube-cbrt_binary64_3852` `sqr-abs_binary64_3844` `rem-square-sqrt_binary64_3841` `mul-1-neg_binary64_3821` `--rgt-identity_binary64_3815` `+-lft-identity_binary64_3813` `div0_binary64_3810` `*-inverses_binary64_3809` `lft-mult-inverse_binary64_3807` `rgt-mult-inverse_binary64_3806` `difference-of-sqr-1_binary64_3799` `difference-of-squares_binary64_3798` `distribute-rgt1-in_binary64_3785` `distribute-lft1-in_binary64_3784`

Counts

64 → 30

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	119	1212
1	292	1137
2	955	1137
3	3014	1137
4	4788	1137
5	6256	1137

prune28.0ms (0.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	30	0	30
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	30	4	34

Error

Counts

34 → 4

Compiler

Compiled 453 to 329 computations (27.4% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(sqrt.f64 (+.f64 x 1))
4.0b	(-.f64 1 (sqrt.f64 (+.f64 x 1)))

rewrite53.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

16×	`*-un-lft-identity_binary64_3829`
14×	`add-sqr-sqrt_binary64_3851`
12×	`sqrt-prod_binary64_3845`
7×	`cancel-sign-sub-inv_binary64_3795`
5×	`add-cube-cbrt_binary64_3864`
4×	`add-log-exp_binary64_3868` `difference-of-squares_binary64_3798`
3×	`pow1_binary64_3890` `distribute-lft-out_binary64_3780` `distribute-lft-out--_binary64_3781`
2×	`add-exp-log_binary64_3867` `add-cbrt-cube_binary64_3865` `sqrt-div_binary64_3846`
1×	`diff-log_binary64_3921` `flip3--_binary64_3833` `sub-neg_binary64_3822` `flip--_binary64_3804` `pow1/2_binary64_3909` `sqrt-pow1_binary64_3847` `flip3-+_binary64_3832` `flip-+_binary64_3803` `rem-sqrt-square_binary64_3842`

Counts

2 → 41

Calls

2 calls:

7.0ms	(-.f64 1 (sqrt.f64 (+.f64 x 1)))
3.0ms	(sqrt.f64 (+.f64 x 1))

Compiler

Compiled 619 to 545 computations (12% saved)

series62.0ms (2.1%)

Error

Counts

2 → 12

Calls

2 calls:

31.0ms	(-.f64 1 (sqrt.f64 (+.f64 x 1)))
22.0ms	(sqrt.f64 (+.f64 x 1))

Compiler

Compiled 312 to 278 computations (10.9% saved)

simplify89.0ms (3%)

Algorithm

1×	egg-herbie

Rules

534×	`unsub-neg_binary64_3823`
407×	`neg-mul-1_binary64_3825`
373×	`neg-sub0_binary64_3824`
355×	`sub-neg_binary64_3822`
341×	`cancel-sign-sub-inv_binary64_3795`
281×	`distribute-rgt-in_binary64_3779`
252×	`*-commutative_binary64_3760`
235×	`distribute-lft-in_binary64_3778`
232×	`distribute-neg-out_binary64_3791`
179×	`associate-+l+_binary64_3762`
170×	`unswap-sqr_binary64_3797`
155×	`associate-+r+_binary64_3761`
136×	`associate-l_binary64_3770` `associate-r_binary64_3769`
128×	`associate-+l-_binary64_3764`
101×	`distribute-rgt-neg-in_binary64_3787`
84×	`difference-of-squares_binary64_3798` `distribute-lft-neg-in_binary64_3786` `associate-+r-_binary64_3763` `+-commutative_binary64_3759`
76×	`sqr-pow_binary64_3801`
75×	`distribute-lft-out_binary64_3780`
71×	`distribute-rgt-out_binary64_3782`
65×	`exp-prod_binary64_3881`
55×	`associate--l+_binary64_3766`
52×	`sub0-neg_binary64_3816`
45×	`distribute-lft-neg-out_binary64_3788` `distribute-rgt-out--_binary64_3783`
43×	`distribute-rgt-neg-out_binary64_3789` `associate--r+_binary64_3765`
41×	`cancel-sign-sub_binary64_3794`
35×	`distribute-lft-out--_binary64_3781`
34×	`cube-prod_binary64_3857` `times-frac_binary64_3835`
32×	`rem-sqrt-square_binary64_3842`
29×	`exp-sum_binary64_3875` `mul0-rgt_binary64_3812` `mul0-lft_binary64_3811`
26×	`*-rgt-identity_binary64_3819`
25×	`log-prod_binary64_3915`
24×	`associate--l-_binary64_3767`
23×	`pow-plus_binary64_3892` `*-lft-identity_binary64_3818` `+-rgt-identity_binary64_3814`
18×	`div-sub_binary64_3834` `pow-sqr_binary64_3802`
17×	`cube-unmult_binary64_3866`
16×	`swap-sqr_binary64_3796` `distribute-rgt1-in_binary64_3785`
13×	`exp-diff_binary64_3877`
12×	`difference-of-sqr-1_binary64_3799`
11×	`unpow3_binary64_3895` `remove-double-neg_binary64_3817` `difference-of-sqr--1_binary64_3800`
9×	`distribute-neg-in_binary64_3790`
8×	`sqr-neg_binary64_3843` `--rgt-identity_binary64_3815`
5×	`+-lft-identity_binary64_3813`
4×	`unpow1/2_binary64_3893` `mul-1-neg_binary64_3821` `distribute-frac-neg_binary64_3792` `associate-/l_binary64_3774` `associate-/r_binary64_3773`
3×	`cube-mult_binary64_3859` `cube-neg_binary64_3856` `distribute-lft1-in_binary64_3784`
2×	`log-pow_binary64_3918` `unpow2_binary64_3894` `rem-square-sqrt_binary64_3841` `count-2_binary64_3777` `associate--r-_binary64_3768`
1×	`unpow1_binary64_3887` `div-exp_binary64_3880` `1-exp_binary64_3873` `exp-1-e_binary64_3872` `rem-3cbrt-lft_binary64_3854` `rem-cbrt-cube_binary64_3853` `associate-l/_binary64_3772` `associate-r/_binary64_3771`
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` `log-div_binary64_3916` `pow-base-0_binary64_3913` `unpow1/3_binary64_3896` `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` `exp-sqrt_binary64_3882` `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-div_binary64_3858` `rem-3cbrt-rft_binary64_3855` `rem-cube-cbrt_binary64_3852` `sqr-abs_binary64_3844` `/-rgt-identity_binary64_3820` `div0_binary64_3810` `*-inverses_binary64_3809` `+-inverses_binary64_3808` `lft-mult-inverse_binary64_3807` `rgt-mult-inverse_binary64_3806` `remove-double-div_binary64_3805` `distribute-neg-frac_binary64_3793` `associate-/l/_binary64_3776` `associate-/r/_binary64_3775`

Counts

53 → 29

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	88	638
1	193	612
2	417	597
3	1246	588
4	3006	576
5	4505	576
6	5032	576

prune24.0ms (0.8%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	29	0	29
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	29	4	33

Error

Counts

33 → 4

Compiler

Compiled 360 to 309 computations (14.2% saved)

regimes160.0ms (5.3%)

Accuracy

Total 0.2b remaining (99.8%)

Threshold costs 0.2b (99.8%)

Compiler

Compiled 1290 to 1071 computations (17% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64_3759`
1×	`1-exp_binary64_3873` `*-commutative_binary64_3760`
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` `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	8	15
1	13	15
2	12	15

end0.0ms (0%)

sample1.0s (34%)

Algorithm

1×

intervals

Results

231.0ms

8000×

body

128

valid

Compiler

Compiled 590 to 490 computations (16.9% saved)

Details

analyze150.0ms (4.9%)

sample15.0ms (0.5%)

simplify8.0ms (0.3%)

prune2.0ms (0.1%)

localize5.0ms (0.2%)

rewrite108.0ms (3.6%)

series116.0ms (3.8%)

simplify90.0ms (3%)

prune43.0ms (1.4%)

localize9.0ms (0.3%)

rewrite90.0ms (3%)

series470.0ms (15.5%)

simplify98.0ms (3.2%)

prune51.0ms (1.7%)

localize6.0ms (0.2%)

rewrite70.0ms (2.3%)

series144.0ms (4.7%)

simplify99.0ms (3.3%)

prune28.0ms (0.9%)

localize5.0ms (0.2%)

rewrite53.0ms (1.7%)

series62.0ms (2.1%)

simplify89.0ms (3%)

prune24.0ms (0.8%)

regimes160.0ms (5.3%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.0s (34%)

Profiling