Details

analyze1.9s (9.8%)

Algorithm

1×	search
2×	egg-herbie

Rules

45×	`+-commutative_binary64_3759`
24×	`associate-+l+_binary64_3762`
15×	`associate-+r+_binary64_3761` `*-commutative_binary64_3760`
1×	`swap-x-y` `swap-z-t` `swap-a-b`
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`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	256
1	100	256
2	126	256
3	122	256
4	121	256
0	6	6
1	6	6

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
1.6%	98.1%	0.3%	13
3.1%	96.6%	0.3%	14

Symmetry

(sort x y)

(sort z t)

(sort a b)

Compiler

Compiled 12 to 12 computations (0% saved)

sample60.0ms (0.3%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
5.0ms	140×	body	128	invalid

Compiler

Compiled 23 to 29 computations (-26.1% saved)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

5×	`+-commutative_binary64_3759`
3×	`associate-+l+_binary64_3762` `associate-+r+_binary64_3761` `*-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` `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`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	16
1	19	16
2	25	16
3	25	16
4	25	16

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

0.0b

Counts

1 → 1

Compiler

Compiled 11 to 11 computations (0% saved)

localize9.0ms (0%)

Local error

Found 2 expressions with local error:

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

rewrite39.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

9×	`add-log-exp_binary64_3868`
4×	`sum-log_binary64_3920`
2×	`pow1_binary64_3890` `add-exp-log_binary64_3867` `add-cbrt-cube_binary64_3865` `add-cube-cbrt_binary64_3864` `add-sqr-sqrt_binary64_3851` `flip3-+_binary64_3832` `*-un-lft-identity_binary64_3829` `flip-+_binary64_3803` `+-commutative_binary64_3759`
1×	`associate-+l+_binary64_3762`

Counts

2 → 24

Calls

2 calls:

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

Compiler

Compiled 510 to 94 computations (81.6% saved)

series663.0ms (3.3%)

Error

0.0b

Counts

2 → 60

Calls

2 calls:

438.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))
194.0ms	(+.f64 (.f64 x y) (.f64 z t))

Compiler

Compiled 1314 to 920 computations (30% saved)

simplify99.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

498×	`unswap-sqr_binary64_3797`
371×	`sub-neg_binary64_3822`
326×	`associate-l_binary64_3770`
297×	`cancel-sign-sub-inv_binary64_3795`
278×	`distribute-rgt-in_binary64_3779`
254×	`distribute-lft-in_binary64_3778`
238×	`associate-r_binary64_3769`
205×	`+-commutative_binary64_3759`
175×	`distribute-rgt-out_binary64_3782`
173×	`neg-mul-1_binary64_3825`
133×	`distribute-neg-in_binary64_3790`
124×	`*-commutative_binary64_3760`
123×	`distribute-rgt-neg-in_binary64_3787`
103×	`distribute-lft-neg-in_binary64_3786`
95×	`associate--r+_binary64_3765`
91×	`neg-sub0_binary64_3824`
88×	`associate-+l+_binary64_3762`
84×	`sqr-pow_binary64_3801`
83×	`unsub-neg_binary64_3823`
78×	`distribute-lft-out_binary64_3780`
76×	`associate-+l-_binary64_3764`
65×	`associate--l+_binary64_3766`
64×	`associate-+r+_binary64_3761`
60×	`associate-+r-_binary64_3763`
44×	`distribute-lft-neg-out_binary64_3788`
37×	`exp-sum_binary64_3875`
34×	`exp-prod_binary64_3881` `sub0-neg_binary64_3816`
33×	`distribute-rgt-out--_binary64_3783`
22×	`+-rgt-identity_binary64_3814`
21×	`pow-sqr_binary64_3802`
19×	`distribute-rgt-neg-out_binary64_3789`
18×	`unpow3_binary64_3895`
14×	`exp-diff_binary64_3877` `cube-prod_binary64_3857`
13×	`cube-unmult_binary64_3866`
12×	`distribute-neg-out_binary64_3791`
10×	`cube-mult_binary64_3859` `distribute-lft-out--_binary64_3781`
8×	`remove-double-neg_binary64_3817` `difference-of-squares_binary64_3798` `cancel-sign-sub_binary64_3794`
7×	`associate--r-_binary64_3768`
6×	`cube-neg_binary64_3856` `sqr-neg_binary64_3843` `div-sub_binary64_3834` `swap-sqr_binary64_3796`
5×	`prod-exp_binary64_3878`
4×	`pow-plus_binary64_3892`
3×	`associate-/l/_binary64_3776` `associate-*r/_binary64_3771`
2×	`*-lft-identity_binary64_3818`
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` `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` `div-exp_binary64_3880` `rec-exp_binary64_3879` `exp-neg_binary64_3876` `e-exp-1_binary64_3874` `exp-1-e_binary64_3872` `exp-0_binary64_3871` `rem-log-exp_binary64_3870` `rem-exp-log_binary64_3869` `cube-div_binary64_3858` `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-sqrt-square_binary64_3842` `rem-square-sqrt_binary64_3841` `times-frac_binary64_3835` `mul-1-neg_binary64_3821` `/-rgt-identity_binary64_3820` `-rgt-identity_binary64_3819` `--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` `distribute-neg-frac_binary64_3793` `distribute-frac-neg_binary64_3792` `distribute-rgt1-in_binary64_3785` `distribute-lft1-in_binary64_3784` `count-2_binary64_3777` `associate-/r/_binary64_3775` `associate-/l_binary64_3774` `associate-/r_binary64_3773` `associate-*l/_binary64_3772` `associate--l-_binary64_3767`

Counts

84 → 52

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	58	1095
1	197	1062
2	668	1056
3	2140	1056
4	3536	1056
5	4872	1056
6	5019	1056

prune45.0ms (0.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	48	4	52
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	48	5	53

Error

0.0b

Counts

53 → 5

Compiler

Compiled 864 to 137 computations (84.1% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite187.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

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

Counts

4 → 87

Calls

4 calls:

16.0ms	(.f64 (cbrt.f64 (+.f64 (+.f64 (.f64 t z) (.f64 a b)) (.f64 x y))) (cbrt.f64 (+.f64 (+.f64 (.f64 t z) (.f64 a b)) (*.f64 x y))))
6.0ms	(cbrt.f64 (+.f64 (+.f64 (.f64 t z) (.f64 a b)) (*.f64 x y)))
6.0ms	(cbrt.f64 (+.f64 (+.f64 (.f64 t z) (.f64 a b)) (*.f64 x y)))
6.0ms	(cbrt.f64 (+.f64 (+.f64 (.f64 t z) (.f64 a b)) (*.f64 x y)))

Compiler

Compiled 4856 to 345 computations (92.9% saved)

series6.8s (34%)

Error

0.0b

Counts

4 → 152

Calls

4 calls:

2.3s	(.f64 (cbrt.f64 (+.f64 (+.f64 (.f64 t z) (.f64 a b)) (.f64 x y))) (cbrt.f64 (+.f64 (+.f64 (.f64 t z) (.f64 a b)) (*.f64 x y))))
1.4s	(cbrt.f64 (+.f64 (+.f64 (.f64 t z) (.f64 a b)) (*.f64 x y)))
1.3s	(cbrt.f64 (+.f64 (+.f64 (.f64 t z) (.f64 a b)) (*.f64 x y)))
1.3s	(cbrt.f64 (+.f64 (+.f64 (.f64 t z) (.f64 a b)) (*.f64 x y)))

Compiler

Compiled 31376 to 18419 computations (41.3% saved)

simplify205.0ms (1%)

Algorithm

1×	egg-herbie

Rules

742×	`associate-/l*_binary64_3774`
521×	`associate-/r*_binary64_3773`
275×	`*-commutative_binary64_3760`
252×	`associate-*l/_binary64_3772`
107×	`associate-r_binary64_3769`
84×	`+-commutative_binary64_3759`
76×	`sqr-pow_binary64_3801`
64×	`times-frac_binary64_3835` `sub-neg_binary64_3822` `associate-*r/_binary64_3771`
63×	`associate-/r/_binary64_3775`
58×	`distribute-rgt-in_binary64_3779`
54×	`distribute-lft-in_binary64_3778`
52×	`exp-prod_binary64_3881`
47×	`cancel-sign-sub-inv_binary64_3795`
44×	`neg-mul-1_binary64_3825` `neg-sub0_binary64_3824`
40×	`associate-+r+_binary64_3761`
34×	`distribute-rgt-neg-in_binary64_3787`
33×	`distribute-rgt-out_binary64_3782`
31×	`distribute-lft-neg-in_binary64_3786`
26×	`distribute-lft-out_binary64_3780`
22×	`log-prod_binary64_3915`
14×	`distribute-neg-in_binary64_3790` `associate-l_binary64_3770`
12×	`log-div_binary64_3916` `unpow1/3_binary64_3896` `distribute-rgt-neg-out_binary64_3789` `distribute-lft-out--_binary64_3781`
9×	`unpow2_binary64_3894` `unpow1_binary64_3887` `distribute-lft-neg-out_binary64_3788`
7×	`unswap-sqr_binary64_3797`
6×	`log-pow_binary64_3918` `log-rec_binary64_3917` `remove-double-neg_binary64_3817`
5×	`associate--l+_binary64_3766`
4×	`unpow3_binary64_3895` `cube-unmult_binary64_3866` `cube-mult_binary64_3859` `associate--r+_binary64_3765`
3×	`swap-sqr_binary64_3796` `count-2_binary64_3777`
2×	`cube-prod_binary64_3857` `rem-3cbrt-lft_binary64_3854` `rem-sqrt-square_binary64_3842` `distribute-rgt-out--_binary64_3783`
1×	`1-exp_binary64_3873` `rem-3cbrt-rft_binary64_3855` `rem-square-sqrt_binary64_3841` `*-rgt-identity_binary64_3819` `difference-of-squares_binary64_3798` `associate-+r-_binary64_3763` `associate-+l+_binary64_3762`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_4092` `erf-erfc_binary64_4091` `erf-odd_binary64_4090` `if-if-and-not_binary64_4089` `if-if-and_binary64_4088` `if-if-or-not_binary64_4087` `if-if-or_binary64_4086` `if-not_binary64_4085` `if-same_binary64_4084` `if-false_binary64_4083` `if-true_binary64_4082` `not-gte_binary64_4081` `not-lte_binary64_4080` `not-gt_binary64_4079` `not-lt_binary64_4078` `gte-same_binary64_4077` `lte-same_binary64_4076` `gt-same_binary64_4075` `lt-same_binary64_4074` `sinh---cosh_binary64_4021` `sinh-+-cosh_binary64_4020` `sinh-cosh_binary64_4019` `tanh-def-c_binary64_4018` `tanh-def-b_binary64_4017` `tanh-def-a_binary64_4016` `cosh-def_binary64_4015` `sinh-def_binary64_4014` `tan-neg_binary64_3961` `cos-neg_binary64_3960` `sin-neg_binary64_3959` `tan-0_binary64_3958` `cos-0_binary64_3957` `sin-0_binary64_3956` `hang-m-tan_binary64_3955` `hang-p-tan_binary64_3954` `hang-m0-tan_binary64_3953` `hang-p0-tan_binary64_3952` `hang-0m-tan_binary64_3951` `hang-0p-tan_binary64_3950` `tan-+PI/2_binary64_3949` `tan-+PI_binary64_3948` `tan-PI_binary64_3947` `tan-PI/3_binary64_3946` `tan-PI/4_binary64_3945` `tan-PI/6_binary64_3944` `cos-+PI/2_binary64_3943` `cos-+PI_binary64_3942` `cos-PI_binary64_3941` `cos-PI/2_binary64_3940` `cos-PI/3_binary64_3939` `cos-PI/4_binary64_3938` `cos-PI/6_binary64_3937` `sin-+PI/2_binary64_3936` `sin-+PI_binary64_3935` `sin-PI_binary64_3934` `sin-PI/2_binary64_3933` `sin-PI/3_binary64_3932` `sin-PI/4_binary64_3931` `sin-PI/6_binary64_3930` `sub-1-sin_binary64_3929` `sub-1-cos_binary64_3928` `-1-add-sin_binary64_3927` `-1-add-cos_binary64_3926` `1-sub-sin_binary64_3925` `1-sub-cos_binary64_3924` `cos-sin-sum_binary64_3923` `log-E_binary64_3919` `pow-base-0_binary64_3913` `unpow1/2_binary64_3893` `pow-plus_binary64_3892` `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-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-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` `div-sub_binary64_3834` `unsub-neg_binary64_3823` `mul-1-neg_binary64_3821` `/-rgt-identity_binary64_3820` `-lft-identity_binary64_3818` `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` `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-rgt1-in_binary64_3785` `distribute-lft1-in_binary64_3784` `associate-/l/_binary64_3776` `associate--r-_binary64_3768` `associate--l-_binary64_3767` `associate-+l-_binary64_3764`

Counts

239 → 208

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	623	12292
1	2023	11228
2	5118	11228

prune480.0ms (2.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	206	2	208
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	207	6	213

Error

Counts

213 → 6

Compiler

Compiled 11936 to 2920 computations (75.5% saved)

localize25.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (+.f64 (+.f64 (.f64 t z) (.f64 a b)) (*.f64 x y)))
1.0b	(.f64 (.f64 t z) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 x y) (.f64 a b)) 2))))
1.6b	(cbrt.f64 (+.f64 (.f64 x y) (.f64 a b)))
26.1b	(cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 x y) (.f64 a b)) 2)))

rewrite310.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

62×	`cbrt-prod_binary64_3860`
48×	`times-frac_binary64_3835`
37×	`add-cube-cbrt_binary64_3864` `add-sqr-sqrt_binary64_3851` `*-un-lft-identity_binary64_3829`
31×	`associate-r_binary64_3769`
18×	`unpow-prod-down_binary64_3908`
9×	`pow1_binary64_3890` `add-exp-log_binary64_3867`
7×	`add-cbrt-cube_binary64_3865`
6×	`cbrt-div_binary64_3861` `unpow2_binary64_3894` `sqr-pow_binary64_3801`
4×	`add-log-exp_binary64_3868`
3×	`pow1/3_binary64_3911` `pow-prod-down_binary64_3900` `prod-exp_binary64_3878` `cbrt-unprod_binary64_3862`
2×	`div-inv_binary64_3826` `flip3-+_binary64_3832` `flip-+_binary64_3803`
1×	`associate-r/_binary64_3771` `associate-l_binary64_3770` `-commutative_binary64_3760`

Counts

4 → 110

Calls

4 calls:

24.0ms	(.f64 (.f64 t z) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 x y) (.f64 a b)) 2))))
8.0ms	(cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 x y) (.f64 a b)) 2)))
6.0ms	(cbrt.f64 (+.f64 (+.f64 (.f64 t z) (.f64 a b)) (*.f64 x y)))
4.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 a b)))

Compiler

Compiled 7334 to 1859 computations (74.7% saved)

series3.8s (19.1%)

Error

Counts

4 → 96

Calls

4 calls:

1.4s	(cbrt.f64 (+.f64 (+.f64 (.f64 t z) (.f64 a b)) (*.f64 x y)))
1.3s	(.f64 (.f64 t z) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 x y) (.f64 a b)) 2))))
495.0ms	(cbrt.f64 (+.f64 (.f64 x y) (.f64 a b)))
371.0ms	(cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 x y) (.f64 a b)) 2)))

Compiler

Compiled 19770 to 10687 computations (45.9% saved)

simplify183.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

749×	`times-frac_binary64_3835`
454×	`associate-/l*_binary64_3774`
354×	`associate-/r*_binary64_3773`
205×	`*-commutative_binary64_3760`
164×	`associate-*r/_binary64_3771`
145×	`associate-*l/_binary64_3772`
76×	`sqr-pow_binary64_3801`
74×	`associate-r_binary64_3769`
72×	`exp-prod_binary64_3881`
58×	`+-commutative_binary64_3759`
56×	`sub-neg_binary64_3822`
47×	`distribute-rgt-in_binary64_3779` `distribute-lft-in_binary64_3778`
43×	`log-prod_binary64_3915`
42×	`cancel-sign-sub-inv_binary64_3795`
41×	`neg-mul-1_binary64_3825` `neg-sub0_binary64_3824`
40×	`associate-/r/_binary64_3775` `associate-l_binary64_3770`
29×	`distribute-rgt-neg-in_binary64_3787`
28×	`unpow1/3_binary64_3896`
23×	`distribute-lft-neg-in_binary64_3786`
22×	`log-div_binary64_3916`
20×	`exp-diff_binary64_3877`
19×	`log-pow_binary64_3918`
17×	`distribute-rgt-out_binary64_3782`
16×	`exp-sum_binary64_3875` `associate-+r+_binary64_3761`
14×	`distribute-lft-neg-out_binary64_3788`
13×	`distribute-lft-out_binary64_3780`
12×	`unpow2_binary64_3894` `unpow1/2_binary64_3893` `unpow1_binary64_3887`
11×	`log-rec_binary64_3917` `swap-sqr_binary64_3796` `associate-/l/_binary64_3776`
8×	`unsub-neg_binary64_3823` `distribute-neg-in_binary64_3790` `distribute-rgt-neg-out_binary64_3789`
7×	`unpow3_binary64_3895` `cube-mult_binary64_3859`
6×	`remove-double-neg_binary64_3817`
5×	`exp-to-pow_binary64_3891`
4×	`pow-plus_binary64_3892` `cube-unmult_binary64_3866` `cube-prod_binary64_3857` `rem-sqrt-square_binary64_3842` `*-rgt-identity_binary64_3819` `unswap-sqr_binary64_3797` `distribute-neg-frac_binary64_3793` `distribute-rgt-out--_binary64_3783`
3×	`rem-3cbrt-lft_binary64_3854` `pow-sqr_binary64_3802` `associate--l+_binary64_3766`
2×	`rec-exp_binary64_3879` `difference-of-squares_binary64_3798` `count-2_binary64_3777` `associate--r+_binary64_3765` `associate-+r-_binary64_3763` `associate-+l+_binary64_3762`
1×	`1-exp_binary64_3873` `rem-square-sqrt_binary64_3841` `/-rgt-identity_binary64_3820`
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` `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` `prod-exp_binary64_3878` `exp-neg_binary64_3876` `e-exp-1_binary64_3874` `exp-1-e_binary64_3872` `exp-0_binary64_3871` `rem-log-exp_binary64_3870` `rem-exp-log_binary64_3869` `cube-div_binary64_3858` `cube-neg_binary64_3856` `rem-3cbrt-rft_binary64_3855` `rem-cbrt-cube_binary64_3853` `rem-cube-cbrt_binary64_3852` `sqr-abs_binary64_3844` `sqr-neg_binary64_3843` `div-sub_binary64_3834` `mul-1-neg_binary64_3821` `-lft-identity_binary64_3818` `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` `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--r-_binary64_3768` `associate--l-_binary64_3767` `associate-+l-_binary64_3764`

Counts

206 → 191

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	553	6950
1	1601	6394
2	4853	6267
3	5006	6267

prune456.0ms (2.3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	191	0	191
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	191	6	197

Error

Counts

197 → 6

Compiler

Compiled 12336 to 3316 computations (73.1% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 x y) (*.f64 x y))
0.3b	(.f64 (.f64 t z) (*.f64 t z))
4.5b	(-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 (.f64 t z) (.f64 t z)))
28.9b	(/.f64 (-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 (.f64 t z) (.f64 t z))) (-.f64 (.f64 x y) (.f64 t z)))

rewrite188.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

82×	`pow1_binary64_3890`
34×	`pow-prod-down_binary64_3900`
30×	`add-exp-log_binary64_3867` `add-cbrt-cube_binary64_3865`
16×	`prod-exp_binary64_3878` `cbrt-unprod_binary64_3862`
13×	`add-cube-cbrt_binary64_3864` `add-sqr-sqrt_binary64_3851` `*-un-lft-identity_binary64_3829`
12×	`times-frac_binary64_3835`
8×	`pow-prod-up_binary64_3899` `pow-sqr_binary64_3802`
6×	`add-log-exp_binary64_3868`
5×	`difference-of-squares_binary64_3798`
4×	`associate-/l*_binary64_3774` `pow-plus_binary64_3892`
3×	`flip3--_binary64_3833` `flip--_binary64_3804` `associate-/r*_binary64_3773`
2×	`associate-/l/_binary64_3776` `associate-/r/_binary64_3775` `pow2_binary64_3910` `swap-sqr_binary64_3796` `associate-l_binary64_3770` `associate-r_binary64_3769` `*-commutative_binary64_3760`
1×	`div-exp_binary64_3880` `cbrt-undiv_binary64_3863` `frac-2neg_binary64_3840` `div-sub_binary64_3834` `clear-num_binary64_3828` `div-inv_binary64_3826` `diff-log_binary64_3921` `sub-neg_binary64_3822` `cancel-sign-sub-inv_binary64_3795`

Counts

4 → 117

Calls

4 calls:

13.0ms	(/.f64 (-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 (.f64 t z) (.f64 t z))) (-.f64 (.f64 x y) (.f64 t z)))
9.0ms	(-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 (.f64 t z) (.f64 t z)))
7.0ms	(.f64 (.f64 x y) (*.f64 x y))
7.0ms	(.f64 (.f64 t z) (*.f64 t z))

Compiler

Compiled 4333 to 619 computations (85.7% saved)

series1.5s (7.5%)

Error

Counts

4 → 60

Calls

4 calls:

633.0ms	(/.f64 (-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 (.f64 t z) (.f64 t z))) (-.f64 (.f64 x y) (.f64 t z)))
591.0ms	(-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 (.f64 t z) (.f64 t z)))
109.0ms	(.f64 (.f64 t z) (*.f64 t z))
104.0ms	(.f64 (.f64 x y) (*.f64 x y))

Compiler

Compiled 2988 to 1960 computations (34.4% saved)

simplify127.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

248×	`associate-l_binary64_3770`
247×	`distribute-rgt-in_binary64_3779`
236×	`times-frac_binary64_3835`
230×	`distribute-lft-in_binary64_3778`
227×	`cancel-sign-sub-inv_binary64_3795`
209×	`associate-/l/_binary64_3776`
192×	`associate-r_binary64_3769`
169×	`distribute-rgt-neg-in_binary64_3787`
167×	`exp-prod_binary64_3881`
162×	`unswap-sqr_binary64_3797`
153×	`distribute-lft-neg-in_binary64_3786`
135×	`div-sub_binary64_3834`
120×	`associate-/l*_binary64_3774`
94×	`log-prod_binary64_3915`
90×	`swap-sqr_binary64_3796`
88×	`cube-prod_binary64_3857`
65×	`distribute-neg-frac_binary64_3793`
62×	`sqr-pow_binary64_3801`
61×	`*-commutative_binary64_3760`
51×	`distribute-rgt-out_binary64_3782`
44×	`log-div_binary64_3916` `exp-sum_binary64_3875`
41×	`cube-div_binary64_3858`
40×	`sub-neg_binary64_3822`
35×	`neg-sub0_binary64_3824`
34×	`neg-mul-1_binary64_3825`
33×	`unpow3_binary64_3895`
28×	`distribute-lft-out_binary64_3780`
26×	`distribute-lft-neg-out_binary64_3788`
21×	`associate-/r*_binary64_3773`
20×	`pow-plus_binary64_3892`
19×	`cube-mult_binary64_3859`
18×	`+-commutative_binary64_3759`
16×	`exp-diff_binary64_3877`
15×	`distribute-rgt-neg-out_binary64_3789` `associate-/r/_binary64_3775`
13×	`associate-*l/_binary64_3772`
12×	`log-pow_binary64_3918` `cube-unmult_binary64_3866` `pow-sqr_binary64_3802` `difference-of-squares_binary64_3798` `distribute-neg-in_binary64_3790` `associate-+l+_binary64_3762` `associate-+r+_binary64_3761`
11×	`log-rec_binary64_3917` `associate-*r/_binary64_3771`
7×	`/-rgt-identity_binary64_3820`
6×	`unpow2_binary64_3894`
5×	`*-rgt-identity_binary64_3819`
4×	`unpow1/2_binary64_3893` `unpow1_binary64_3887` `*-inverses_binary64_3809` `count-2_binary64_3777`
3×	`unsub-neg_binary64_3823`
2×	`exp-neg_binary64_3876` `rem-sqrt-square_binary64_3842` `remove-double-neg_binary64_3817` `+-rgt-identity_binary64_3814` `distribute-rgt-out--_binary64_3783` `associate--r-_binary64_3768` `associate--r+_binary64_3765` `associate-+r-_binary64_3763`
1×	`div-exp_binary64_3880` `1-exp_binary64_3873` `mul-1-neg_binary64_3821` `*-lft-identity_binary64_3818` `cancel-sign-sub_binary64_3794`
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` `e-exp-1_binary64_3874` `exp-1-e_binary64_3872` `exp-0_binary64_3871` `rem-log-exp_binary64_3870` `rem-exp-log_binary64_3869` `cube-neg_binary64_3856` `rem-3cbrt-rft_binary64_3855` `rem-3cbrt-lft_binary64_3854` `rem-cbrt-cube_binary64_3853` `rem-cube-cbrt_binary64_3852` `sqr-abs_binary64_3844` `sqr-neg_binary64_3843` `rem-square-sqrt_binary64_3841` `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_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` `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` `associate--l+_binary64_3766` `associate-+l-_binary64_3764`

Counts

177 → 150

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	154	3365
1	401	2840
2	1686	2834
3	4545	2402
4	5023	2402

prune160.0ms (0.8%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	150	0	150
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	150	6	156

Error

Counts

156 → 6

Compiler

Compiled 3928 to 991 computations (74.8% saved)

regimes1.0s (5.1%)

Accuracy

Total 0.0b remaining (53.3%)

Threshold costs 0.0b (53.3%)

Compiler

Compiled 11429 to 5951 computations (47.9% saved)

bsearch0.0ms (0%)

simplify46.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64_3760`
2×	`+-commutative_binary64_3759`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `if-if-and-not_binary64_4089` `if-if-and_binary64_4088` `if-if-or-not_binary64_4087` `if-if-or_binary64_4086` `if-not_binary64_4085` `if-same_binary64_4084` `if-false_binary64_4083` `if-true_binary64_4082` `tan-0_binary64_3958` `cos-0_binary64_3957` `sin-0_binary64_3956` `unpow1_binary64_3887` `e-exp-1_binary64_3874` `1-exp_binary64_3873` `exp-1-e_binary64_3872` `exp-0_binary64_3871` `sqr-abs_binary64_3844` `sqr-neg_binary64_3843` `neg-mul-1_binary64_3825` `neg-sub0_binary64_3824` `unsub-neg_binary64_3823` `sub-neg_binary64_3822` `mul-1-neg_binary64_3821` `/-rgt-identity_binary64_3820` `-rgt-identity_binary64_3819` `-lft-identity_binary64_3818` `remove-double-neg_binary64_3817` `sub0-neg_binary64_3816` `--rgt-identity_binary64_3815` `+-rgt-identity_binary64_3814` `+-lft-identity_binary64_3813` `cancel-sign-sub-inv_binary64_3795` `cancel-sign-sub_binary64_3794` `distribute-neg-frac_binary64_3793` `distribute-frac-neg_binary64_3792` `distribute-neg-out_binary64_3791` `distribute-neg-in_binary64_3790` `distribute-rgt-neg-out_binary64_3789` `distribute-lft-neg-out_binary64_3788` `distribute-rgt-neg-in_binary64_3787` `distribute-lft-neg-in_binary64_3786`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	16
1	17	16
2	17	16

Remove

(sort a b)

(sort z t)

(sort x y)

Compiler

Compiled 66 to 66 computations (0% saved)

end0.0ms (0%)

sample1.6s (7.8%)

Algorithm

1×

intervals

Results

295.0ms	8000×	body	128	valid
142.0ms	3925×	body	128	invalid

Compiler

Compiled 1056 to 556 computations (47.3% saved)

Details

analyze1.9s (9.8%)

sample60.0ms (0.3%)

simplify10.0ms (0.1%)

prune2.0ms (0%)

localize9.0ms (0%)

rewrite39.0ms (0.2%)

series663.0ms (3.3%)

simplify99.0ms (0.5%)

prune45.0ms (0.2%)

localize13.0ms (0.1%)

rewrite187.0ms (0.9%)

series6.8s (34%)

simplify205.0ms (1%)

prune480.0ms (2.4%)

localize25.0ms (0.1%)

rewrite310.0ms (1.6%)

series3.8s (19.1%)

simplify183.0ms (0.9%)

prune456.0ms (2.3%)

localize13.0ms (0.1%)

rewrite188.0ms (0.9%)

series1.5s (7.5%)

simplify127.0ms (0.6%)

prune160.0ms (0.8%)

regimes1.0s (5.1%)

bsearch0.0ms (0%)

simplify46.0ms (0.2%)

end0.0ms (0%)

sample1.6s (7.8%)

Profiling