Details

analyze404.0ms (6.9%)

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	8	14
1	12	14
2	11	14
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	50%	0%	2
50%	50%	0%	3
62.5%	37.5%	0%	4
68.7%	31.2%	0%	5
71.8%	28.1%	0%	6
73.4%	26.5%	0%	7
74.2%	25.8%	0%	8
74.6%	25.4%	0%	9
74.8%	25.2%	0%	10
74.9%	25.1%	0%	11
74.9%	25%	0%	12
74.9%	25%	0%	13
75%	25%	0%	14

Compiler

Compiled 10 to 8 computations (20% saved)

sample65.0ms (1.1%)

Algorithm

1×

intervals

Results

32.0ms	90×	body	1024	valid
9.0ms	30×	body	2048	valid
9.0ms	40×	body	512	valid
3.0ms	70×	body	128	valid
3.0ms	26×	body	256	valid

Compiler

Compiled 19 to 16 computations (15.8% saved)

simplify9.0ms (0.1%)

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	8	14
1	12	14
2	11	14

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

54.0b

Counts

1 → 1

Compiler

Compiled 9 to 7 computations (22.2% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.5b	(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
3.0b	(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
13.3b	(sqrt.f64 (+.f64 (*.f64 x x) 1))

rewrite75.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

53.8b

Rules

9×	`*-un-lft-identity_binary64_3829`
6×	`add-sqr-sqrt_binary64_3851`
5×	`pow1_binary64_3890` `add-log-exp_binary64_3868` `add-cube-cbrt_binary64_3864`
4×	`add-exp-log_binary64_3867` `log-prod_binary64_3915`
3×	`add-cbrt-cube_binary64_3865` `flip3-+_binary64_3832` `flip-+_binary64_3803` `sqrt-prod_binary64_3845`
2×	`sqrt-div_binary64_3846` `log-div_binary64_3916` `distribute-lft-out_binary64_3780`
1×	`pow1/2_binary64_3909` `sqrt-pow1_binary64_3847` `rem-sqrt-square_binary64_3842` `log-pow_binary64_3918` `rem-log-exp_binary64_3870` `sum-log_binary64_3920` `+-commutative_binary64_3759`

Counts

3 → 42

Calls

3 calls:

11.0ms	(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
7.0ms	(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
5.0ms	(sqrt.f64 (+.f64 (*.f64 x x) 1))

Compiler

Compiled 766 to 464 computations (39.4% saved)

series260.0ms (4.5%)

Error

0.0b

Counts

3 → 27

Calls

3 calls:

100.0ms	(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
73.0ms	(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
58.0ms	(sqrt.f64 (+.f64 (*.f64 x x) 1))

Compiler

Compiled 716 to 609 computations (14.9% saved)

simplify109.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

419×	`times-frac_binary64_3835`
301×	`associate-+l+_binary64_3762`
244×	`distribute-rgt-in_binary64_3779`
212×	`sub-neg_binary64_3822`
210×	`associate-r_binary64_3769`
204×	`associate-l_binary64_3770`
192×	`distribute-lft-in_binary64_3778`
172×	`cancel-sign-sub-inv_binary64_3795`
161×	`associate-+l-_binary64_3764`
150×	`associate--r+_binary64_3765`
145×	`associate-/r*_binary64_3773`
141×	`distribute-rgt-neg-in_binary64_3787`
133×	`distribute-rgt-out_binary64_3782` `associate--l+_binary64_3766`
112×	`distribute-lft-neg-in_binary64_3786`
109×	`unswap-sqr_binary64_3797`
104×	`associate-+r-_binary64_3763`
94×	`*-commutative_binary64_3760`
89×	`+-commutative_binary64_3759`
78×	`distribute-rgt-out--_binary64_3783`
70×	`distribute-lft-out_binary64_3780`
58×	`associate-*r/_binary64_3771`
57×	`associate-*l/_binary64_3772` `associate--r-_binary64_3768` `associate-+r+_binary64_3761`
47×	`distribute-neg-frac_binary64_3793` `associate-/l*_binary64_3774`
44×	`neg-sub0_binary64_3824`
42×	`neg-mul-1_binary64_3825`
39×	`unsub-neg_binary64_3823`
35×	`sqr-pow_binary64_3801`
34×	`distribute-lft-out--_binary64_3781`
29×	`+-rgt-identity_binary64_3814` `associate--l-_binary64_3767`
28×	`associate-/l/_binary64_3776`
25×	`log-prod_binary64_3915` `distribute-neg-in_binary64_3790`
21×	`sub0-neg_binary64_3816` `distribute-rgt1-in_binary64_3785`
20×	`log-div_binary64_3916` `cube-prod_binary64_3857`
15×	`exp-prod_binary64_3881` `cube-unmult_binary64_3866`
13×	`*-rgt-identity_binary64_3819` `difference-of-squares_binary64_3798`
12×	`pow-plus_binary64_3892`
11×	`*-lft-identity_binary64_3818`
10×	`unpow3_binary64_3895`
6×	`--rgt-identity_binary64_3815` `cancel-sign-sub_binary64_3794` `distribute-lft-neg-out_binary64_3788` `distribute-lft1-in_binary64_3784`
4×	`log-pow_binary64_3918` `log-rec_binary64_3917` `prod-exp_binary64_3878` `difference-of-sqr--1_binary64_3800` `count-2_binary64_3777`
3×	`cube-mult_binary64_3859` `rem-sqrt-square_binary64_3842` `div-sub_binary64_3834` `mul-1-neg_binary64_3821` `difference-of-sqr-1_binary64_3799` `swap-sqr_binary64_3796` `distribute-rgt-neg-out_binary64_3789`
2×	`unpow1/2_binary64_3893` `exp-sum_binary64_3875` `+-inverses_binary64_3808` `associate-/r/_binary64_3775`
1×	`unpow2_binary64_3894` `unpow1_binary64_3887` `1-exp_binary64_3873` `exp-1-e_binary64_3872` `rem-exp-log_binary64_3869` `cube-div_binary64_3858` `rem-square-sqrt_binary64_3841` `remove-double-neg_binary64_3817` `remove-double-div_binary64_3805` `pow-sqr_binary64_3802` `distribute-neg-out_binary64_3791`
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-diff_binary64_3877` `exp-neg_binary64_3876` `e-exp-1_binary64_3874` `exp-0_binary64_3871` `rem-log-exp_binary64_3870` `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` `/-rgt-identity_binary64_3820` `+-lft-identity_binary64_3813` `mul0-rgt_binary64_3812` `mul0-lft_binary64_3811` `div0_binary64_3810` `*-inverses_binary64_3809` `lft-mult-inverse_binary64_3807` `rgt-mult-inverse_binary64_3806` `distribute-frac-neg_binary64_3792`

Counts

69 → 53

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	131	1104
1	317	1031
2	703	1001
3	1940	995
4	4589	995
5	4994	995
6	4854	995

prune65.0ms (1.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	49	4	53
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	50	4	54

Error

0.0b

Counts

54 → 4

Compiler

Compiled 806 to 534 computations (33.7% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 5/112 (pow.f64 x 7))
0.1b	(*.f64 3/40 (pow.f64 x 5))
0.1b	(*.f64 (pow.f64 x 3) 1/6)
21.6b	(-.f64 (+.f64 x (.f64 3/40 (pow.f64 x 5))) (+.f64 (.f64 (pow.f64 x 3) 1/6) (*.f64 5/112 (pow.f64 x 7))))

rewrite246.0ms (4.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

34×	`add-sqr-sqrt_binary64_3851`
19×	`add-exp-log_binary64_3867`
18×	`associate-l_binary64_3770`
17×	`-un-lft-identity_binary64_3829` `associate-r*_binary64_3769`
16×	`add-log-exp_binary64_3868`
15×	`add-cube-cbrt_binary64_3864`
12×	`unpow-prod-down_binary64_3908`
10×	`add-cbrt-cube_binary64_3865` `unswap-sqr_binary64_3797`
9×	`prod-exp_binary64_3878`
6×	`sqr-pow_binary64_3801`
4×	`sum-log_binary64_3920` `diff-log_binary64_3921` `pow1_binary64_3890` `flip3-+_binary64_3832` `frac-sub_binary64_3838` `flip-+_binary64_3803` `cube-prod_binary64_3857`
3×	`cancel-sign-sub-inv_binary64_3795` `pow-to-exp_binary64_3898` `pow-exp_binary64_3897` `cbrt-unprod_binary64_3862` `*-commutative_binary64_3760`
1×	`flip3--_binary64_3833` `sub-neg_binary64_3822` `flip--_binary64_3804` `difference-of-squares_binary64_3798` `distribute-lft-out--_binary64_3781` `associate--l+_binary64_3766` `associate--r+_binary64_3765` `unpow3_binary64_3895` `cube-mult_binary64_3859`

Counts

4 → 106

Calls

4 calls:

12.0ms	(-.f64 (+.f64 x (.f64 3/40 (pow.f64 x 5))) (+.f64 (.f64 (pow.f64 x 3) 1/6) (*.f64 5/112 (pow.f64 x 7))))
6.0ms	(*.f64 (pow.f64 x 3) 1/6)
6.0ms	(*.f64 3/40 (pow.f64 x 5))
6.0ms	(*.f64 5/112 (pow.f64 x 7))

Compiler

Compiled 3201 to 2555 computations (20.2% saved)

series288.0ms (4.9%)

Error

0.0b

Counts

4 → 17

Calls

4 calls:

78.0ms	(-.f64 (+.f64 x (.f64 3/40 (pow.f64 x 5))) (+.f64 (.f64 (pow.f64 x 3) 1/6) (*.f64 5/112 (pow.f64 x 7))))
73.0ms	(*.f64 5/112 (pow.f64 x 7))
65.0ms	(*.f64 3/40 (pow.f64 x 5))
54.0ms	(*.f64 (pow.f64 x 3) 1/6)

Compiler

Compiled 691 to 574 computations (16.9% saved)

simplify115.0ms (2%)

Algorithm

1×	egg-herbie

Rules

761×	`distribute-rgt-in_binary64_3779`
319×	`cancel-sign-sub-inv_binary64_3795`
226×	`associate-l_binary64_3770`
215×	`distribute-rgt-neg-in_binary64_3787`
205×	`associate-r_binary64_3769`
190×	`distribute-lft-neg-in_binary64_3786`
154×	`log-prod_binary64_3915`
128×	`unswap-sqr_binary64_3797`
121×	`*-commutative_binary64_3760`
99×	`distribute-lft-in_binary64_3778`
75×	`sqr-pow_binary64_3801`
73×	`exp-prod_binary64_3881`
69×	`sub-neg_binary64_3822`
65×	`distribute-neg-in_binary64_3790`
63×	`cube-prod_binary64_3857`
61×	`distribute-lft-neg-out_binary64_3788`
57×	`distribute-rgt-out_binary64_3782`
50×	`neg-mul-1_binary64_3825`
48×	`neg-sub0_binary64_3824`
45×	`+-commutative_binary64_3759`
44×	`swap-sqr_binary64_3796`
40×	`distribute-rgt-neg-out_binary64_3789`
28×	`distribute-rgt-out--_binary64_3783`
25×	`exp-sum_binary64_3875` `distribute-lft-out_binary64_3780` `associate-+l+_binary64_3762`
21×	`log-pow_binary64_3918`
18×	`associate-+r+_binary64_3761`
17×	`unpow3_binary64_3895`
15×	`times-frac_binary64_3835`
14×	`div-exp_binary64_3880` `associate--l+_binary64_3766`
12×	`distribute-lft-out--_binary64_3781`
11×	`unsub-neg_binary64_3823` `pow-sqr_binary64_3802` `associate--r+_binary64_3765`
10×	`exp-diff_binary64_3877`
9×	`cube-unmult_binary64_3866`
8×	`cube-mult_binary64_3859` `*-lft-identity_binary64_3818`
7×	`rem-sqrt-square_binary64_3842` `-rgt-identity_binary64_3819` `difference-of-squares_binary64_3798` `associate-/l_binary64_3774`
6×	`prod-exp_binary64_3878`
5×	`pow-plus_binary64_3892` `associate-+r-_binary64_3763`
3×	`+-rgt-identity_binary64_3814` `associate-/r*_binary64_3773`
2×	`rem-square-sqrt_binary64_3841` `distribute-rgt1-in_binary64_3785` `associate-+l-_binary64_3764`
1×	`1-exp_binary64_3873` `exp-1-e_binary64_3872` `rem-3cbrt-lft_binary64_3854` `rem-cbrt-cube_binary64_3853` `rem-cube-cbrt_binary64_3852` `remove-double-neg_binary64_3817` `associate-/r/_binary64_3775` `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` `unpow2_binary64_3894` `unpow1/2_binary64_3893` `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` `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-div_binary64_3858` `cube-neg_binary64_3856` `rem-3cbrt-rft_binary64_3855` `sqr-abs_binary64_3844` `sqr-neg_binary64_3843` `div-sub_binary64_3834` `mul-1-neg_binary64_3821` `/-rgt-identity_binary64_3820` `sub0-neg_binary64_3816` `--rgt-identity_binary64_3815` `+-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` `cancel-sign-sub_binary64_3794` `distribute-neg-frac_binary64_3793` `distribute-frac-neg_binary64_3792` `distribute-neg-out_binary64_3791` `distribute-lft1-in_binary64_3784` `count-2_binary64_3777` `associate-/l/_binary64_3776` `associate--r-_binary64_3768` `associate--l-_binary64_3767`

Counts

123 → 76

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	229	2306
1	585	2229
2	2101	2211
3	4916	2211
4	4991	2211

prune140.0ms (2.4%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	75	1	76
Fresh	0	3	3
Picked	1	0	1
Done	0	0	0
Total	76	4	80

Error

Counts

80 → 4

Compiler

Compiled 2101 to 1668 computations (20.6% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (pow.f64 x 7) -5/112)
0.1b	(*.f64 3/40 (pow.f64 x 5))
0.1b	(*.f64 1/6 (pow.f64 x 3))
21.6b	(+.f64 (.f64 3/40 (pow.f64 x 5)) (-.f64 (.f64 (pow.f64 x 7) -5/112) (*.f64 1/6 (pow.f64 x 3))))

rewrite205.0ms (3.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

31×	`add-sqr-sqrt_binary64_3851`
22×	`associate-r_binary64_3769`
19×	`add-exp-log_binary64_3867`
14×	`add-cube-cbrt_binary64_3864` `*-un-lft-identity_binary64_3829`
13×	`associate-l_binary64_3770`
12×	`unpow-prod-down_binary64_3908`
10×	`add-cbrt-cube_binary64_3865` `unswap-sqr_binary64_3797`
9×	`add-log-exp_binary64_3868` `prod-exp_binary64_3878`
6×	`sqr-pow_binary64_3801`
4×	`pow1_binary64_3890` `cube-prod_binary64_3857`
3×	`pow-to-exp_binary64_3898` `pow-exp_binary64_3897` `cbrt-unprod_binary64_3862` `*-commutative_binary64_3760`
2×	`sum-log_binary64_3920` `associate-+r+_binary64_3761`
1×	`diff-log_binary64_3921` `flip3-+_binary64_3832` `flip-+_binary64_3803` `associate-+r-_binary64_3763` `sub-neg_binary64_3822` `cancel-sign-sub-inv_binary64_3795` `+-commutative_binary64_3759` `unpow3_binary64_3895` `cube-mult_binary64_3859`

Counts

4 → 96

Calls

4 calls:

10.0ms	(+.f64 (.f64 3/40 (pow.f64 x 5)) (-.f64 (.f64 (pow.f64 x 7) -5/112) (*.f64 1/6 (pow.f64 x 3))))
8.0ms	(*.f64 1/6 (pow.f64 x 3))
7.0ms	(*.f64 (pow.f64 x 7) -5/112)
6.0ms	(*.f64 3/40 (pow.f64 x 5))

Compiler

Compiled 2535 to 2028 computations (20% saved)

series297.0ms (5.1%)

Error

Counts

4 → 14

Calls

4 calls:

108.0ms	(+.f64 (.f64 3/40 (pow.f64 x 5)) (-.f64 (.f64 (pow.f64 x 7) -5/112) (*.f64 1/6 (pow.f64 x 3))))
69.0ms	(*.f64 (pow.f64 x 7) -5/112)
62.0ms	(*.f64 3/40 (pow.f64 x 5))
44.0ms	(*.f64 1/6 (pow.f64 x 3))

Compiler

Compiled 664 to 547 computations (17.6% saved)

simplify113.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

653×	`unswap-sqr_binary64_3797`
494×	`log-prod_binary64_3915`
371×	`*-commutative_binary64_3760`
305×	`cancel-sign-sub-inv_binary64_3795`
187×	`exp-prod_binary64_3881`
177×	`distribute-rgt-in_binary64_3779`
146×	`distribute-lft-in_binary64_3778`
143×	`associate-l_binary64_3770`
139×	`sqr-pow_binary64_3801`
125×	`associate-r_binary64_3769`
104×	`cube-prod_binary64_3857`
95×	`swap-sqr_binary64_3796`
91×	`unsub-neg_binary64_3823`
66×	`neg-mul-1_binary64_3825` `neg-sub0_binary64_3824`
64×	`sub-neg_binary64_3822`
61×	`distribute-neg-in_binary64_3790`
54×	`distribute-rgt-neg-in_binary64_3787`
49×	`associate-+l+_binary64_3762`
43×	`distribute-lft-neg-in_binary64_3786`
40×	`associate-+r+_binary64_3761`
39×	`times-frac_binary64_3835`
37×	`log-pow_binary64_3918`
26×	`+-commutative_binary64_3759`
23×	`exp-sum_binary64_3875` `pow-sqr_binary64_3802`
19×	`exp-diff_binary64_3877`
18×	`cube-unmult_binary64_3866`
17×	`unpow3_binary64_3895` `distribute-lft-neg-out_binary64_3788` `associate--r+_binary64_3765`
15×	`pow-plus_binary64_3892` `rem-sqrt-square_binary64_3842` `distribute-neg-out_binary64_3791`
14×	`cube-mult_binary64_3859`
13×	`distribute-rgt-neg-out_binary64_3789` `associate-/l*_binary64_3774`
12×	`associate--l+_binary64_3766` `associate-+r-_binary64_3763`
9×	`associate-+l-_binary64_3764`
8×	`remove-double-neg_binary64_3817` `distribute-rgt-out_binary64_3782`
7×	`+-rgt-identity_binary64_3814`
5×	`-rgt-identity_binary64_3819` `-lft-identity_binary64_3818` `distribute-rgt-out--_binary64_3783`
4×	`div-exp_binary64_3880` `sub0-neg_binary64_3816`
3×	`cube-neg_binary64_3856` `sqr-neg_binary64_3843` `distribute-lft-out_binary64_3780` `count-2_binary64_3777` `associate-/r*_binary64_3773`
2×	`prod-exp_binary64_3878` `difference-of-squares_binary64_3798` `associate--r-_binary64_3768` `associate--l-_binary64_3767`
1×	`unpow1/2_binary64_3893` `1-exp_binary64_3873` `exp-1-e_binary64_3872` `rem-cbrt-cube_binary64_3853` `rem-cube-cbrt_binary64_3852` `rem-square-sqrt_binary64_3841` `--rgt-identity_binary64_3815` `distribute-lft-out--_binary64_3781` `associate-/r/_binary64_3775` `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` `unpow2_binary64_3894` `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` `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-div_binary64_3858` `rem-3cbrt-rft_binary64_3855` `rem-3cbrt-lft_binary64_3854` `sqr-abs_binary64_3844` `div-sub_binary64_3834` `mul-1-neg_binary64_3821` `/-rgt-identity_binary64_3820` `+-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` `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` `associate-/l/_binary64_3776`

Counts

110 → 69

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	176	1505
1	369	1402
2	1023	1402
3	2261	1402
4	4885	1402
5	5407	1402

prune105.0ms (1.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	69	4	73

Error

Counts

73 → 4

Compiler

Compiled 1682 to 1324 computations (21.3% saved)

localize3.0ms (0.1%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Error

Counts

0 → 0

Compiler

Compiled 0 to 0 computations (0% saved)

series0.0ms (0%)

Error: 0b
Counts: 0 → 0
Compiler: Compiled 0 to 0 computations (0% saved)

simplify8.0ms (0.1%)

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

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
1	0	0

prune0.0ms (0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	1	1
Done	1	1
Total	4	4

Error

Counts

4 → 4

Compiler

Compiled 0 to 0 computations (0% saved)

regimes302.0ms (5.2%)

Accuracy

Total 0.4b remaining (94.4%)

Threshold costs 0.4b (94.4%)

Compiler

Compiled 2563 to 2045 computations (20.2% saved)

bsearch55.0ms (1%)

Steps

Iters	Range		Point
11	3.461923511954953e-26	15980573.379077345	1.2887980544979383
10	-379438257921.5439	-0.10951708727586135	-1.2687108404564065

Compiler

Compiled 1 to 1 computations (0% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

10×	`*-commutative_binary64_3760` `+-commutative_binary64_3759`
8×	`sub-neg_binary64_3822`
7×	`neg-mul-1_binary64_3825` `neg-sub0_binary64_3824`
4×	`distribute-rgt-neg-in_binary64_3787` `distribute-lft-neg-in_binary64_3786`
2×	`unsub-neg_binary64_3823` `distribute-neg-in_binary64_3790`
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` `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-rgt-neg-out_binary64_3789` `distribute-lft-neg-out_binary64_3788`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	52
1	36	52
2	45	52
3	65	52
4	78	52
5	88	52
6	92	52
7	92	52

end0.0ms (0%)

sample2.9s (50%)

Algorithm

1×

intervals

Results

900.0ms	2428×	body	1024	valid
409.0ms	1237×	body	2048	valid
260.0ms	1259×	body	512	valid
108.0ms	2408×	body	128	valid
70.0ms	622×	body	256	valid
20.0ms	46×	body	4096	valid

Compiler

Compiled 896 to 714 computations (20.3% saved)

Details

analyze404.0ms (6.9%)

sample65.0ms (1.1%)

simplify9.0ms (0.1%)

prune2.0ms (0%)

localize7.0ms (0.1%)

rewrite75.0ms (1.3%)

series260.0ms (4.5%)

simplify109.0ms (1.9%)

prune65.0ms (1.1%)

localize13.0ms (0.2%)

rewrite246.0ms (4.2%)

series288.0ms (4.9%)

simplify115.0ms (2%)

prune140.0ms (2.4%)

localize14.0ms (0.2%)

rewrite205.0ms (3.5%)

series297.0ms (5.1%)

simplify113.0ms (1.9%)

prune105.0ms (1.8%)

localize3.0ms (0.1%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify8.0ms (0.1%)

prune0.0ms (0%)

regimes302.0ms (5.2%)

bsearch55.0ms (1%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample2.9s (50%)

Profiling