Details

analyze532.0ms (6.2%)

Algorithm

1×	search
2×	egg-herbie

Rules

22×	`*-commutative_binary64_3760` `+-commutative_binary64_3759`
20×	`distribute-lft-out_binary64_3780`
15×	`associate-+l+_binary64_3762`
14×	`distribute-rgt-out_binary64_3782` `associate-+r+_binary64_3761`
4×	`distribute-rgt-in_binary64_3779`
1×	`swap-d2-d3`
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-lft-out--_binary64_3781` `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`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	52
1	48	40
2	91	40
3	105	40
4	107	40
5	107	40
0	3	3
1	3	3

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
37.4%	62.4%	0.1%	8
40.6%	57.7%	1.7%	9
45.2%	51.1%	3.7%	10
57.7%	33.5%	8.7%	11
59.7%	29.4%	10.9%	12
62%	25%	13%	13
68.3%	17.4%	14.4%	14

Symmetry

(sort d2 d3)

Compiler

Compiled 12 to 10 computations (16.7% saved)

sample26.0ms (0.3%)

Algorithm

1×

intervals

Results

7.0ms	247×	body	128	valid
1.0ms	22×	body	128	invalid
0.0ms	4×	body	512	valid
0.0ms	3×	body	1024	valid
0.0ms	2×	body	256	valid

Compiler

Compiled 23 to 22 computations (4.3% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

9×	`*-commutative_binary64_3760` `+-commutative_binary64_3759`
7×	`distribute-lft-out_binary64_3780`
6×	`associate-+l+_binary64_3762` `associate-+r+_binary64_3761`
5×	`distribute-rgt-out_binary64_3782`
2×	`distribute-rgt-in_binary64_3779`
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-lft-out--_binary64_3781` `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`

Counts

1 → 1

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	13
1	19	10
2	33	10
3	43	10
4	43	10
5	43	10

prune3.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 14 to 14 computations (0% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 d1 (+.f64 3 (+.f64 d2 d3)))

rewrite36.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

8×	`*-un-lft-identity_binary64_3829`
5×	`add-sqr-sqrt_binary64_3851` `associate-r_binary64_3769`
3×	`pow1_binary64_3890` `add-exp-log_binary64_3867` `add-cbrt-cube_binary64_3865` `add-cube-cbrt_binary64_3864` `associate-l_binary64_3770` `distribute-lft-out_binary64_3780`
2×	`associate-*r/_binary64_3771`
1×	`pow-prod-down_binary64_3900` `prod-exp_binary64_3878` `add-log-exp_binary64_3868` `cbrt-unprod_binary64_3862` `unswap-sqr_binary64_3797` `distribute-rgt-in_binary64_3779` `distribute-lft-in_binary64_3778` `flip3-+_binary64_3832` `flip-+_binary64_3803` `*-commutative_binary64_3760`

Counts

1 → 24

Calls

1 calls:

12.0ms

(*.f64 d1 (+.f64 3 (+.f64 d2 d3)))

Compiler

Compiled 336 to 177 computations (47.3% saved)

series150.0ms (1.7%)

Error

0.0b

Counts

1 → 15

Calls

1 calls:

140.0ms

(*.f64 d1 (+.f64 3 (+.f64 d2 d3)))

Compiler

Compiled 305 to 220 computations (27.9% saved)

simplify74.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

863×	`unswap-sqr_binary64_3797`
746×	`distribute-rgt-in_binary64_3779`
739×	`distribute-lft-in_binary64_3778`
331×	`associate-l_binary64_3770`
295×	`sub-neg_binary64_3822`
245×	`associate-r_binary64_3769`
163×	`sqr-pow_binary64_3801`
127×	`distribute-rgt-out_binary64_3782`
105×	`rem-sqrt-square_binary64_3842`
100×	`+-commutative_binary64_3759`
85×	`cancel-sign-sub-inv_binary64_3795`
83×	`*-commutative_binary64_3760`
81×	`associate-+l-_binary64_3764`
73×	`distribute-lft-out_binary64_3780`
70×	`associate--r+_binary64_3765`
61×	`pow-sqr_binary64_3802`
60×	`associate-+r+_binary64_3761`
58×	`associate-+l+_binary64_3762`
49×	`exp-prod_binary64_3881`
48×	`neg-mul-1_binary64_3825` `associate--l+_binary64_3766`
46×	`neg-sub0_binary64_3824`
43×	`distribute-neg-in_binary64_3790`
34×	`exp-sum_binary64_3875`
32×	`associate--l-_binary64_3767`
31×	`sub0-neg_binary64_3816`
29×	`*-lft-identity_binary64_3818`
28×	`*-rgt-identity_binary64_3819`
27×	`associate-+r-_binary64_3763`
25×	`distribute-rgt-neg-in_binary64_3787`
24×	`swap-sqr_binary64_3796`
23×	`associate-/l*_binary64_3774`
22×	`associate--r-_binary64_3768`
20×	`unsub-neg_binary64_3823`
18×	`distribute-lft-neg-in_binary64_3786`
17×	`+-rgt-identity_binary64_3814`
15×	`--rgt-identity_binary64_3815`
14×	`unpow1/2_binary64_3893`
13×	`distribute-lft-neg-out_binary64_3788`
12×	`distribute-rgt-neg-out_binary64_3789`
11×	`cube-prod_binary64_3857`
9×	`log-prod_binary64_3915`
8×	`unpow3_binary64_3895` `div-sub_binary64_3834`
7×	`remove-double-neg_binary64_3817` `associate-/l/_binary64_3776`
6×	`cube-unmult_binary64_3866` `cube-mult_binary64_3859` `+-lft-identity_binary64_3813`
5×	`distribute-rgt-out--_binary64_3783`
4×	`exp-diff_binary64_3877` `cancel-sign-sub_binary64_3794` `associate-*r/_binary64_3771`
3×	`pow-plus_binary64_3892` `prod-exp_binary64_3878`
2×	`count-2_binary64_3777` `associate-/r/_binary64_3775` `associate-/r*_binary64_3773`
1×	`exp-lft-cube_binary64_3885` `1-exp_binary64_3873` `exp-1-e_binary64_3872`
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` `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-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-div_binary64_3858` `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` `times-frac_binary64_3835` `mul-1-neg_binary64_3821` `/-rgt-identity_binary64_3820` `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` `distribute-neg-frac_binary64_3793` `distribute-frac-neg_binary64_3792` `distribute-neg-out_binary64_3791` `distribute-rgt1-in_binary64_3785` `distribute-lft1-in_binary64_3784` `distribute-lft-out--_binary64_3781` `associate-l/_binary64_3772`

Counts

39 → 27

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	59	447
1	154	405
2	589	405
3	2217	405
4	2799	405
5	3753	405
6	5415	405

prune28.0ms (0.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	24	3	27
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	24	4	28

Error

0.0b

Counts

28 → 4

Compiler

Compiled 379 to 235 computations (38% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 (cbrt.f64 (+.f64 d3 (+.f64 d2 3))) (cbrt.f64 (+.f64 d3 (+.f64 d2 3))))
0.4b	(cbrt.f64 (+.f64 d3 (+.f64 d2 3)))
0.4b	(cbrt.f64 (+.f64 d3 (+.f64 d2 3)))
0.4b	(cbrt.f64 (+.f64 3 (+.f64 d2 d3)))

rewrite235.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

74×	`*-un-lft-identity_binary64_3829`
51×	`cbrt-prod_binary64_3860`
33×	`distribute-lft-out_binary64_3780`
23×	`add-sqr-sqrt_binary64_3851`
18×	`cbrt-div_binary64_3861`
15×	`add-cube-cbrt_binary64_3864`
14×	`swap-sqr_binary64_3796`
11×	`pow1_binary64_3890`
9×	`pow1/3_binary64_3911` `flip3-+_binary64_3832` `flip-+_binary64_3803`
8×	`associate-l_binary64_3770` `associate-r_binary64_3769`
6×	`add-exp-log_binary64_3867`
4×	`add-log-exp_binary64_3868` `add-cbrt-cube_binary64_3865` `frac-times_binary64_3839` `unswap-sqr_binary64_3797`
2×	`pow-prod-down_binary64_3900` `pow-prod-up_binary64_3899` `pow-sqr_binary64_3802` `associate-l/_binary64_3772` `associate-r/_binary64_3771`
1×	`pow2_binary64_3910` `pow-plus_binary64_3892` `prod-exp_binary64_3878` `cbrt-unprod_binary64_3862` `*-commutative_binary64_3760`

Counts

4 → 105

Calls

4 calls:

17.0ms	(*.f64 (cbrt.f64 (+.f64 d3 (+.f64 d2 3))) (cbrt.f64 (+.f64 d3 (+.f64 d2 3))))
6.0ms	(cbrt.f64 (+.f64 3 (+.f64 d2 d3)))
5.0ms	(cbrt.f64 (+.f64 d3 (+.f64 d2 3)))
5.0ms	(cbrt.f64 (+.f64 d3 (+.f64 d2 3)))

Compiler

Compiled 3308 to 2233 computations (32.5% saved)

series1.4s (16.5%)

Error

0.0b

Counts

4 → 60

Calls

4 calls:

578.0ms	(*.f64 (cbrt.f64 (+.f64 d3 (+.f64 d2 3))) (cbrt.f64 (+.f64 d3 (+.f64 d2 3))))
237.0ms	(cbrt.f64 (+.f64 d3 (+.f64 d2 3)))
229.0ms	(cbrt.f64 (+.f64 d3 (+.f64 d2 3)))
223.0ms	(cbrt.f64 (+.f64 3 (+.f64 d2 d3)))

Compiler

Compiled 6726 to 5571 computations (17.2% saved)

simplify172.0ms (2%)

Algorithm

1×	egg-herbie

Rules

621×	`cancel-sign-sub-inv_binary64_3795`
394×	`unswap-sqr_binary64_3797`
360×	`associate-r_binary64_3769`
287×	`associate-l_binary64_3770`
201×	`sub-neg_binary64_3822`
200×	`*-commutative_binary64_3760`
151×	`+-commutative_binary64_3759`
132×	`sqr-pow_binary64_3801`
131×	`associate-+r+_binary64_3761`
107×	`associate-+l+_binary64_3762`
74×	`associate--l+_binary64_3766`
66×	`neg-mul-1_binary64_3825` `neg-sub0_binary64_3824` `associate--r+_binary64_3765`
57×	`distribute-rgt-in_binary64_3779`
49×	`distribute-lft-in_binary64_3778`
42×	`unsub-neg_binary64_3823`
30×	`distribute-neg-in_binary64_3790`
27×	`unpow1/3_binary64_3896`
21×	`distribute-rgt-out_binary64_3782`
16×	`exp-prod_binary64_3881`
15×	`associate-/r*_binary64_3773`
14×	`log-prod_binary64_3915`
12×	`distribute-rgt-neg-in_binary64_3787`
11×	`cube-unmult_binary64_3866`
10×	`exp-sum_binary64_3875` `cube-prod_binary64_3857`
9×	`*-rgt-identity_binary64_3819` `distribute-lft-neg-in_binary64_3786`
8×	`log-pow_binary64_3918` `*-lft-identity_binary64_3818` `swap-sqr_binary64_3796`
6×	`pow-sqr_binary64_3802`
5×	`difference-of-squares_binary64_3798`
4×	`unpow3_binary64_3895` `unpow2_binary64_3894` `unpow1/2_binary64_3893` `pow-plus_binary64_3892` `unpow1_binary64_3887` `cube-mult_binary64_3859`
3×	`rem-3cbrt-lft_binary64_3854` `rem-sqrt-square_binary64_3842` `distribute-lft-neg-out_binary64_3788`
2×	`log-div_binary64_3916` `exp-diff_binary64_3877` `div-sub_binary64_3834` `distribute-rgt-out--_binary64_3783` `associate--r-_binary64_3768` `associate-+l-_binary64_3764` `associate-+r-_binary64_3763`
1×	`1-exp_binary64_3873` `exp-1-e_binary64_3872` `rem-3cbrt-rft_binary64_3855` `rem-square-sqrt_binary64_3841` `+-inverses_binary64_3808` `distribute-lft-out_binary64_3780` `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-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-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-div_binary64_3858` `cube-neg_binary64_3856` `rem-cbrt-cube_binary64_3853` `rem-cube-cbrt_binary64_3852` `sqr-abs_binary64_3844` `sqr-neg_binary64_3843` `times-frac_binary64_3835` `mul-1-neg_binary64_3821` `/-rgt-identity_binary64_3820` `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` `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-rgt-neg-out_binary64_3789` `distribute-rgt1-in_binary64_3785` `distribute-lft1-in_binary64_3784` `distribute-lft-out--_binary64_3781` `associate-/l/_binary64_3776` `associate-/r/_binary64_3775` `associate-/l_binary64_3774` `associate-l/_binary64_3772` `associate-r/_binary64_3771` `associate--l-_binary64_3767`

Counts

165 → 152

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	337	5021
1	927	4779
2	3100	4549
3	4996	4549
4	4943	4549

prune314.0ms (3.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	151	1	152
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	152	4	156

Error

0.0b

Counts

156 → 4

Compiler

Compiled 5173 to 3596 computations (30.5% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b	(cbrt.f64 (cbrt.f64 (+.f64 d3 (+.f64 3 d2))))
0.4b	(cbrt.f64 (+.f64 d3 (+.f64 3 d2)))
0.4b	(cbrt.f64 (+.f64 3 (+.f64 d2 d3)))
0.9b	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 d3 (+.f64 3 d2)))) 6)

rewrite164.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

36×	`cbrt-prod_binary64_3860`
32×	`*-un-lft-identity_binary64_3829`
12×	`add-cube-cbrt_binary64_3864` `add-sqr-sqrt_binary64_3851` `distribute-lft-out_binary64_3780`
11×	`unpow-prod-down_binary64_3908`
8×	`cbrt-div_binary64_3861`
5×	`pow1_binary64_3890` `add-exp-log_binary64_3867`
4×	`pow1/3_binary64_3911` `add-log-exp_binary64_3868` `add-cbrt-cube_binary64_3865`
3×	`pow-unpow_binary64_3906` `flip3-+_binary64_3832` `flip-+_binary64_3803`
2×	`pow-pow_binary64_3901`
1×	`pow-to-exp_binary64_3898` `pow-exp_binary64_3897` `sqr-pow_binary64_3801`

Counts

4 → 74

Calls

4 calls:

9.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 d3 (+.f64 3 d2)))) 6)
8.0ms	(cbrt.f64 (+.f64 d3 (+.f64 3 d2)))
6.0ms	(cbrt.f64 (cbrt.f64 (+.f64 d3 (+.f64 3 d2))))
5.0ms	(cbrt.f64 (+.f64 3 (+.f64 d2 d3)))

Compiler

Compiled 2104 to 1533 computations (27.1% saved)

series1.5s (16.9%)

Error

0.0b

Counts

4 → 57

Calls

4 calls:

641.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 d3 (+.f64 3 d2)))) 6)
240.0ms	(cbrt.f64 (+.f64 d3 (+.f64 3 d2)))
231.0ms	(cbrt.f64 (cbrt.f64 (+.f64 d3 (+.f64 3 d2))))
224.0ms	(cbrt.f64 (+.f64 3 (+.f64 d2 d3)))

Compiler

Compiled 5276 to 4533 computations (14.1% saved)

simplify130.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

471×	`cancel-sign-sub-inv_binary64_3795`
280×	`unswap-sqr_binary64_3797`
247×	`sqr-pow_binary64_3801`
209×	`distribute-rgt-in_binary64_3779`
198×	`associate-r_binary64_3769`
186×	`distribute-rgt-neg-in_binary64_3787`
177×	`distribute-lft-neg-in_binary64_3786`
172×	`distribute-lft-in_binary64_3778`
148×	`sub-neg_binary64_3822`
137×	`associate-l_binary64_3770`
133×	`*-commutative_binary64_3760`
103×	`+-commutative_binary64_3759`
102×	`exp-prod_binary64_3881`
91×	`log-prod_binary64_3915`
74×	`cube-prod_binary64_3857`
72×	`associate--l+_binary64_3766`
61×	`neg-mul-1_binary64_3825` `neg-sub0_binary64_3824`
56×	`distribute-neg-in_binary64_3790`
55×	`associate-+l+_binary64_3762`
42×	`exp-sum_binary64_3875`
40×	`associate--r+_binary64_3765`
35×	`distribute-rgt-out_binary64_3782`
33×	`unsub-neg_binary64_3823` `swap-sqr_binary64_3796`
32×	`associate-+r+_binary64_3761`
31×	`unpow3_binary64_3895`
27×	`log-pow_binary64_3918` `unpow1/3_binary64_3896`
25×	`cube-unmult_binary64_3866`
21×	`pow-plus_binary64_3892` `cube-mult_binary64_3859`
20×	`distribute-lft-neg-out_binary64_3788`
19×	`associate-/r*_binary64_3773`
18×	`distribute-rgt-out--_binary64_3783`
17×	`pow-sqr_binary64_3802`
15×	`distribute-lft-out_binary64_3780`
11×	`distribute-rgt-neg-out_binary64_3789`
8×	`prod-exp_binary64_3878` `exp-neg_binary64_3876`
7×	`rem-cube-cbrt_binary64_3852` `rem-sqrt-square_binary64_3842`
6×	`exp-diff_binary64_3877`
5×	`unpow1/2_binary64_3893` `unpow1_binary64_3887` `rem-exp-log_binary64_3869` `difference-of-squares_binary64_3798` `distribute-rgt1-in_binary64_3785`
4×	`unpow2_binary64_3894`
3×	`rem-3cbrt-lft_binary64_3854`
2×	`log-div_binary64_3916` `exp-to-pow_binary64_3891` `div-sub_binary64_3834` `distribute-lft1-in_binary64_3784` `associate--r-_binary64_3768` `associate-+l-_binary64_3764` `associate-+r-_binary64_3763`
1×	`1-exp_binary64_3873` `rem-cbrt-cube_binary64_3853` `sqr-abs_binary64_3844` `+-inverses_binary64_3808` `distribute-lft-out--_binary64_3781` `associate-/l*_binary64_3774`
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` `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` `e-exp-1_binary64_3874` `exp-1-e_binary64_3872` `exp-0_binary64_3871` `rem-log-exp_binary64_3870` `cube-div_binary64_3858` `cube-neg_binary64_3856` `rem-3cbrt-rft_binary64_3855` `sqr-neg_binary64_3843` `rem-square-sqrt_binary64_3841` `times-frac_binary64_3835` `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` `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` `count-2_binary64_3777` `associate-/l/_binary64_3776` `associate-/r/_binary64_3775` `associate-l/_binary64_3772` `associate-*r/_binary64_3771` `associate--l-_binary64_3767`

Counts

131 → 116

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	329	3328
1	867	3252
2	2364	2938
3	4626	2906
4	4903	2906

prune215.0ms (2.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	116	0	116
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	116	4	120

Error

0.0b

Counts

120 → 4

Compiler

Compiled 3444 to 2567 computations (25.5% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 9 (*.f64 (+.f64 d3 d2) (+.f64 d3 d2)))
0.0b	(*.f64 (+.f64 d3 d2) (+.f64 d3 d2))
9.0b	(.f64 d1 (-.f64 9 (.f64 (+.f64 d3 d2) (+.f64 d3 d2))))
13.8b	(/.f64 (.f64 d1 (-.f64 9 (.f64 (+.f64 d3 d2) (+.f64 d3 d2)))) (-.f64 3 (+.f64 d2 d3)))

rewrite178.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

36×	`*-un-lft-identity_binary64_3829`
22×	`add-sqr-sqrt_binary64_3851`
13×	`pow1_binary64_3890` `add-exp-log_binary64_3867` `add-cbrt-cube_binary64_3865`
12×	`add-cube-cbrt_binary64_3864`
8×	`distribute-lft-out_binary64_3780` `associate-r_binary64_3769`
7×	`associate-l_binary64_3770`
6×	`add-log-exp_binary64_3868` `times-frac_binary64_3835` `associate-r/_binary64_3771` `associate-/r_binary64_3773` `flip3-+_binary64_3832` `flip-+_binary64_3803` `swap-sqr_binary64_3796`
4×	`difference-of-squares_binary64_3798` `distribute-lft-out--_binary64_3781` `flip3--_binary64_3833` `flip--_binary64_3804` `distribute-rgt-in_binary64_3779` `distribute-lft-in_binary64_3778` `frac-times_binary64_3839`
3×	`prod-exp_binary64_3878` `cbrt-unprod_binary64_3862` `sub-neg_binary64_3822` `cancel-sign-sub-inv_binary64_3795`
2×	`div-exp_binary64_3880` `cbrt-undiv_binary64_3863` `associate-/l/_binary64_3776` `associate-/r/_binary64_3775` `pow-prod-down_binary64_3900` `unswap-sqr_binary64_3797` `-commutative_binary64_3760` `associate-l/_binary64_3772` `associate--r+_binary64_3765`
1×	`frac-2neg_binary64_3840` `clear-num_binary64_3828` `div-inv_binary64_3826` `associate-/l*_binary64_3774` `pow2_binary64_3910` `pow-prod-up_binary64_3899` `pow-plus_binary64_3892` `pow-sqr_binary64_3802` `diff-log_binary64_3921`

Counts

4 → 111

Calls

4 calls:

12.0ms	(/.f64 (.f64 d1 (-.f64 9 (.f64 (+.f64 d3 d2) (+.f64 d3 d2)))) (-.f64 3 (+.f64 d2 d3)))
9.0ms	(*.f64 (+.f64 d3 d2) (+.f64 d3 d2))
7.0ms	(.f64 d1 (-.f64 9 (.f64 (+.f64 d3 d2) (+.f64 d3 d2))))
4.0ms	(-.f64 9 (*.f64 (+.f64 d3 d2) (+.f64 d3 d2)))

Compiler

Compiled 2949 to 1150 computations (61% saved)

series1.4s (16.4%)

Error

Counts

4 → 72

Calls

4 calls:

531.0ms	(/.f64 (.f64 d1 (-.f64 9 (.f64 (+.f64 d3 d2) (+.f64 d3 d2)))) (-.f64 3 (+.f64 d2 d3)))
438.0ms	(.f64 d1 (-.f64 9 (.f64 (+.f64 d3 d2) (+.f64 d3 d2))))
238.0ms	(-.f64 9 (*.f64 (+.f64 d3 d2) (+.f64 d3 d2)))
137.0ms	(*.f64 (+.f64 d3 d2) (+.f64 d3 d2))

Compiler

Compiled 3574 to 2608 computations (27% saved)

simplify193.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

953×	`times-frac_binary64_3835`
188×	`associate-l_binary64_3770`
186×	`associate-r_binary64_3769`
163×	`sub-neg_binary64_3822`
162×	`div-sub_binary64_3834`
152×	`distribute-rgt-in_binary64_3779`
150×	`associate-/l*_binary64_3774`
144×	`exp-prod_binary64_3881`
133×	`distribute-lft-in_binary64_3778`
116×	`*-commutative_binary64_3760`
107×	`unswap-sqr_binary64_3797`
77×	`log-prod_binary64_3915`
65×	`+-commutative_binary64_3759`
61×	`neg-sub0_binary64_3824`
56×	`exp-sum_binary64_3875` `neg-mul-1_binary64_3825`
53×	`-rgt-identity_binary64_3819` `associate-l/_binary64_3772`
52×	`associate--r+_binary64_3765`
48×	`cancel-sign-sub-inv_binary64_3795`
47×	`log-div_binary64_3916`
42×	`sqr-pow_binary64_3801`
39×	`associate-/l/_binary64_3776`
38×	`associate-/r*_binary64_3773`
36×	`unsub-neg_binary64_3823` `distribute-rgt-neg-in_binary64_3787`
32×	`exp-diff_binary64_3877`
31×	`distribute-neg-in_binary64_3790`
29×	`*-lft-identity_binary64_3818` `distribute-lft-neg-in_binary64_3786`
28×	`associate-*r/_binary64_3771`
27×	`/-rgt-identity_binary64_3820` `associate-/r/_binary64_3775`
21×	`associate-+l+_binary64_3762`
20×	`associate-+r+_binary64_3761`
19×	`unpow3_binary64_3895` `cube-prod_binary64_3857`
18×	`cube-div_binary64_3858`
15×	`pow-plus_binary64_3892`
13×	`cube-mult_binary64_3859`
12×	`associate--l+_binary64_3766`
11×	`cube-unmult_binary64_3866`
9×	`distribute-lft-neg-out_binary64_3788` `distribute-rgt-out_binary64_3782`
8×	`log-rec_binary64_3917` `pow-sqr_binary64_3802`
7×	`swap-sqr_binary64_3796`
6×	`log-pow_binary64_3918` `unpow1/2_binary64_3893`
5×	`unpow2_binary64_3894` `difference-of-squares_binary64_3798`
4×	`unpow1_binary64_3887` `mul-1-neg_binary64_3821` `distribute-rgt-neg-out_binary64_3789` `distribute-lft-out_binary64_3780`
3×	`distribute-neg-frac_binary64_3793` `associate--r-_binary64_3768` `associate-+r-_binary64_3763`
2×	`rem-sqrt-square_binary64_3842` `remove-double-neg_binary64_3817` `sub0-neg_binary64_3816` `distribute-rgt-out--_binary64_3783`
1×	`div-exp_binary64_3880` `1-exp_binary64_3873` `exp-1-e_binary64_3872` `rem-3cbrt-rft_binary64_3855` `rem-3cbrt-lft_binary64_3854` `rem-square-sqrt_binary64_3841` `+-rgt-identity_binary64_3814` `*-inverses_binary64_3809` `rgt-mult-inverse_binary64_3806` `count-2_binary64_3777` `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` `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-neg_binary64_3856` `rem-cbrt-cube_binary64_3853` `rem-cube-cbrt_binary64_3852` `sqr-abs_binary64_3844` `sqr-neg_binary64_3843` `--rgt-identity_binary64_3815` `+-lft-identity_binary64_3813` `mul0-rgt_binary64_3812` `mul0-lft_binary64_3811` `div0_binary64_3810` `+-inverses_binary64_3808` `lft-mult-inverse_binary64_3807` `remove-double-div_binary64_3805` `difference-of-sqr--1_binary64_3800` `difference-of-sqr-1_binary64_3799` `cancel-sign-sub_binary64_3794` `distribute-frac-neg_binary64_3792` `distribute-neg-out_binary64_3791` `distribute-rgt1-in_binary64_3785` `distribute-lft1-in_binary64_3784` `distribute-lft-out--_binary64_3781` `associate--l-_binary64_3767`

Counts

183 → 165

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	248	3678
1	684	3259
2	2657	3165
3	4667	2997
4	4991	2997
5	4999	2997
6	4958	2997

prune177.0ms (2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	164	1	165
Fresh	0	0	0
Picked	1	0	1
Done	0	3	3
Total	165	4	169

Error

Counts

169 → 4

Compiler

Compiled 3366 to 1702 computations (49.4% saved)

regimes332.0ms (3.8%)

Accuracy

Total 0.1b remaining (97.3%)

Threshold costs 0.1b (97.3%)

Compiler

Compiled 2916 to 2384 computations (18.2% saved)

bsearch0.0ms (0%)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64_3759`
1×	`*-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` `1-exp_binary64_3873` `exp-1-e_binary64_3872` `exp-0_binary64_3871` `sqr-abs_binary64_3844` `sqr-neg_binary64_3843` `neg-mul-1_binary64_3825` `neg-sub0_binary64_3824` `unsub-neg_binary64_3823` `sub-neg_binary64_3822` `mul-1-neg_binary64_3821` `/-rgt-identity_binary64_3820` `-rgt-identity_binary64_3819` `-lft-identity_binary64_3818` `remove-double-neg_binary64_3817` `sub0-neg_binary64_3816` `--rgt-identity_binary64_3815` `+-rgt-identity_binary64_3814` `+-lft-identity_binary64_3813` `cancel-sign-sub-inv_binary64_3795` `cancel-sign-sub_binary64_3794` `distribute-neg-frac_binary64_3793` `distribute-frac-neg_binary64_3792` `distribute-neg-out_binary64_3791` `distribute-neg-in_binary64_3790` `distribute-rgt-neg-out_binary64_3789` `distribute-lft-neg-out_binary64_3788` `distribute-rgt-neg-in_binary64_3787` `distribute-lft-neg-in_binary64_3786`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	11	10
2	11	10

Remove

(sort d2 d3)

Compiler

Compiled 14 to 14 computations (0% saved)

end0.0ms (0%)

sample1.3s (15.3%)

Algorithm

1×

intervals

Results

238.0ms	7558×	body	128	valid
19.0ms	679×	body	128	invalid
16.0ms	152×	body	1024	valid
14.0ms	178×	body	512	valid
6.0ms	112×	body	256	valid

Compiler

Compiled 748 to 614 computations (17.9% saved)

Details

analyze532.0ms (6.2%)

sample26.0ms (0.3%)

simplify9.0ms (0.1%)

prune3.0ms (0%)

localize5.0ms (0.1%)

rewrite36.0ms (0.4%)

series150.0ms (1.7%)

simplify74.0ms (0.9%)

prune28.0ms (0.3%)

localize13.0ms (0.2%)

rewrite235.0ms (2.7%)

series1.4s (16.5%)

simplify172.0ms (2%)

prune314.0ms (3.6%)

localize15.0ms (0.2%)

rewrite164.0ms (1.9%)

series1.5s (16.9%)

simplify130.0ms (1.5%)

prune215.0ms (2.5%)

localize10.0ms (0.1%)

rewrite178.0ms (2.1%)

series1.4s (16.4%)

simplify193.0ms (2.2%)

prune177.0ms (2%)

regimes332.0ms (3.8%)

bsearch0.0ms (0%)

simplify9.0ms (0.1%)

end0.0ms (0%)

sample1.3s (15.3%)

Profiling