Details

analyze540.0ms (5%)

Algorithm

1×	search
2×	egg-herbie

Rules

492×	`unsub-neg_binary64_3823`
426×	`neg-mul-1_binary64_3825`
388×	`neg-sub0_binary64_3824`
386×	`div-sub_binary64_3834`
340×	`times-frac_binary64_3835`
314×	`sub-neg_binary64_3822`
270×	`distribute-rgt-in_binary64_3779`
256×	`distribute-rgt-neg-in_binary64_3787`
234×	`associate-/l*_binary64_3774`
232×	`distribute-neg-frac_binary64_3793`
228×	`distribute-lft-in_binary64_3778`
218×	`distribute-rgt-neg-out_binary64_3789`
212×	`distribute-lft-neg-out_binary64_3788`
198×	`distribute-rgt-out--_binary64_3783`
168×	`*-commutative_binary64_3760`
160×	`cancel-sign-sub_binary64_3794`
154×	`distribute-lft-neg-in_binary64_3786`
150×	`exp-prod_binary64_3881`
146×	`associate-/r*_binary64_3773`
114×	`cancel-sign-sub-inv_binary64_3795` `associate-/r/_binary64_3775`
108×	`distribute-rgt-out_binary64_3782`
104×	`distribute-frac-neg_binary64_3792`
94×	`associate-*l/_binary64_3772`
62×	`associate-*r/_binary64_3771`
60×	`distribute-neg-out_binary64_3791` `distribute-neg-in_binary64_3790` `associate-r_binary64_3769`
56×	`associate--r+_binary64_3765`
50×	`associate-l_binary64_3770`
48×	`associate--r-_binary64_3768`
46×	`div0_binary64_3810`
42×	`mul0-rgt_binary64_3812`
40×	`sqr-pow_binary64_3801` `+-commutative_binary64_3759`
38×	`mul0-lft_binary64_3811` `associate-/l/_binary64_3776`
36×	`exp-sum_binary64_3875`
32×	`associate-+l-_binary64_3764`
30×	`exp-diff_binary64_3877` `remove-double-neg_binary64_3817` `distribute-lft-out_binary64_3780` `associate-+r+_binary64_3761`
28×	`/-rgt-identity_binary64_3820` `distribute-lft-out--_binary64_3781`
24×	`unswap-sqr_binary64_3797`
22×	`-rgt-identity_binary64_3819` `-lft-identity_binary64_3818`
20×	`sub0-neg_binary64_3816` `associate-+r-_binary64_3763`
18×	`distribute-rgt1-in_binary64_3785` `associate--l+_binary64_3766`
16×	`associate--l-_binary64_3767` `associate-+l+_binary64_3762`
14×	`pow-sqr_binary64_3802`
12×	`rem-sqrt-square_binary64_3842`
10×	`+-rgt-identity_binary64_3814` `+-lft-identity_binary64_3813` `distribute-lft1-in_binary64_3784`
8×	`exp-neg_binary64_3876` `mul-1-neg_binary64_3821` `remove-double-div_binary64_3805`
6×	`--rgt-identity_binary64_3815`
4×	`unpow1/2_binary64_3893` `*-inverses_binary64_3809` `lft-mult-inverse_binary64_3807` `swap-sqr_binary64_3796`
2×	`pow-plus_binary64_3892` `div-exp_binary64_3880` `rec-exp_binary64_3879` `prod-exp_binary64_3878` `sqr-neg_binary64_3843` `+-inverses_binary64_3808`
1×	`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` `log-prod_binary64_3915` `pow-base-0_binary64_3913` `unpow1/3_binary64_3896` `unpow3_binary64_3895` `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` `e-exp-1_binary64_3874` `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` `rem-square-sqrt_binary64_3841` `rgt-mult-inverse_binary64_3806` `difference-of-sqr--1_binary64_3800` `difference-of-sqr-1_binary64_3799` `difference-of-squares_binary64_3798` `count-2_binary64_3777`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	46
1	38	46
2	101	46
3	281	42
4	601	36
5	1958	36
6	3390	36
7	4201	36
8	4908	36
0	2	2
1	2	2

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
12.5%	87.4%	0.1%	5
18.7%	68.7%	12.6%	6
28.1%	59.3%	12.6%	7
32.8%	48.4%	18.8%	8
38.2%	42.9%	18.8%	9
41%	37.1%	22%	10
43.9%	34.1%	22%	11
45.5%	31%	23.5%	12
46.9%	29.6%	23.5%	13
47.7%	28%	24.3%	14

Compiler

Compiled 17 to 9 computations (47.1% saved)

sample52.0ms (0.5%)

Algorithm

1×

intervals

Results

26.0ms	120×	body	8192	exit
8.0ms	223×	body	128	valid
2.0ms	17×	body	512	valid
1.0ms	16×	body	256	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 33 to 19 computations (42.4% saved)

simplify137.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

675×	`neg-mul-1_binary64_3825`
493×	`div-sub_binary64_3834`
416×	`distribute-neg-frac_binary64_3793`
341×	`distribute-rgt-neg-out_binary64_3789`
331×	`distribute-lft-neg-out_binary64_3788`
302×	`sub-neg_binary64_3822`
294×	`associate-/l/_binary64_3776`
289×	`associate-/r*_binary64_3773`
273×	`associate-*l/_binary64_3772`
241×	`cancel-sign-sub-inv_binary64_3795`
222×	`*-commutative_binary64_3760`
219×	`associate-/r/_binary64_3775`
216×	`distribute-rgt-neg-in_binary64_3787`
204×	`neg-sub0_binary64_3824`
188×	`distribute-frac-neg_binary64_3792`
172×	`associate-*r/_binary64_3771`
155×	`unsub-neg_binary64_3823`
148×	`times-frac_binary64_3835`
134×	`distribute-lft-neg-in_binary64_3786`
113×	`exp-prod_binary64_3881`
112×	`distribute-rgt-in_binary64_3779`
105×	`associate-/l*_binary64_3774`
95×	`distribute-lft-in_binary64_3778`
68×	`distribute-rgt-out--_binary64_3783`
63×	`associate-+l+_binary64_3762` `associate-+r+_binary64_3761`
62×	`unswap-sqr_binary64_3797`
57×	`distribute-rgt-out_binary64_3782`
54×	`remove-double-neg_binary64_3817` `associate--r+_binary64_3765`
50×	`distribute-neg-in_binary64_3790`
41×	`cancel-sign-sub_binary64_3794`
36×	`div0_binary64_3810`
35×	`sqr-pow_binary64_3801`
34×	`+-commutative_binary64_3759`
33×	`cube-prod_binary64_3857`
31×	`*-lft-identity_binary64_3818`
29×	`associate--r-_binary64_3768`
28×	`associate-+r-_binary64_3763`
27×	`associate-+l-_binary64_3764`
26×	`unpow3_binary64_3895`
24×	`*-rgt-identity_binary64_3819`
23×	`+-lft-identity_binary64_3813`
22×	`exp-diff_binary64_3877` `distribute-neg-out_binary64_3791` `associate--l+_binary64_3766`
21×	`/-rgt-identity_binary64_3820`
20×	`associate-l_binary64_3770`
19×	`exp-sum_binary64_3875` `associate-r_binary64_3769`
18×	`mul0-rgt_binary64_3812`
17×	`+-rgt-identity_binary64_3814`
15×	`mul0-lft_binary64_3811`
13×	`exp-neg_binary64_3876` `distribute-lft-out--_binary64_3781` `associate--l-_binary64_3767`
12×	`pow-sqr_binary64_3802`
11×	`distribute-lft-out_binary64_3780`
9×	`rem-sqrt-square_binary64_3842` `sub0-neg_binary64_3816` `remove-double-div_binary64_3805`
8×	`cube-unmult_binary64_3866`
7×	`prod-exp_binary64_3878`
6×	`cube-div_binary64_3858` `distribute-rgt1-in_binary64_3785`
5×	`pow-plus_binary64_3892` `div-exp_binary64_3880` `sqr-neg_binary64_3843`
4×	`unpow1/2_binary64_3893`
3×	`rec-exp_binary64_3879` `cube-neg_binary64_3856` `--rgt-identity_binary64_3815` `lft-mult-inverse_binary64_3807` `distribute-lft1-in_binary64_3784`
2×	`swap-sqr_binary64_3796`
1×	`exp-lft-sqr_binary64_3884` `1-exp_binary64_3873` `exp-1-e_binary64_3872` `cube-mult_binary64_3859` `*-inverses_binary64_3809` `+-inverses_binary64_3808`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_4092` `erf-erfc_binary64_4091` `erf-odd_binary64_4090` `if-if-and-not_binary64_4089` `if-if-and_binary64_4088` `if-if-or-not_binary64_4087` `if-if-or_binary64_4086` `if-not_binary64_4085` `if-same_binary64_4084` `if-false_binary64_4083` `if-true_binary64_4082` `not-gte_binary64_4081` `not-lte_binary64_4080` `not-gt_binary64_4079` `not-lt_binary64_4078` `gte-same_binary64_4077` `lte-same_binary64_4076` `gt-same_binary64_4075` `lt-same_binary64_4074` `sinh---cosh_binary64_4021` `sinh-+-cosh_binary64_4020` `sinh-cosh_binary64_4019` `tanh-def-c_binary64_4018` `tanh-def-b_binary64_4017` `tanh-def-a_binary64_4016` `cosh-def_binary64_4015` `sinh-def_binary64_4014` `tan-neg_binary64_3961` `cos-neg_binary64_3960` `sin-neg_binary64_3959` `tan-0_binary64_3958` `cos-0_binary64_3957` `sin-0_binary64_3956` `hang-m-tan_binary64_3955` `hang-p-tan_binary64_3954` `hang-m0-tan_binary64_3953` `hang-p0-tan_binary64_3952` `hang-0m-tan_binary64_3951` `hang-0p-tan_binary64_3950` `tan-+PI/2_binary64_3949` `tan-+PI_binary64_3948` `tan-PI_binary64_3947` `tan-PI/3_binary64_3946` `tan-PI/4_binary64_3945` `tan-PI/6_binary64_3944` `cos-+PI/2_binary64_3943` `cos-+PI_binary64_3942` `cos-PI_binary64_3941` `cos-PI/2_binary64_3940` `cos-PI/3_binary64_3939` `cos-PI/4_binary64_3938` `cos-PI/6_binary64_3937` `sin-+PI/2_binary64_3936` `sin-+PI_binary64_3935` `sin-PI_binary64_3934` `sin-PI/2_binary64_3933` `sin-PI/3_binary64_3932` `sin-PI/4_binary64_3931` `sin-PI/6_binary64_3930` `sub-1-sin_binary64_3929` `sub-1-cos_binary64_3928` `-1-add-sin_binary64_3927` `-1-add-cos_binary64_3926` `1-sub-sin_binary64_3925` `1-sub-cos_binary64_3924` `cos-sin-sum_binary64_3923` `log-E_binary64_3919` `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` `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-cbrt_binary64_3883` `exp-sqrt_binary64_3882` `e-exp-1_binary64_3874` `exp-0_binary64_3871` `rem-log-exp_binary64_3870` `rem-exp-log_binary64_3869` `rem-3cbrt-rft_binary64_3855` `rem-3cbrt-lft_binary64_3854` `rem-cbrt-cube_binary64_3853` `rem-cube-cbrt_binary64_3852` `sqr-abs_binary64_3844` `rem-square-sqrt_binary64_3841` `mul-1-neg_binary64_3821` `rgt-mult-inverse_binary64_3806` `difference-of-sqr--1_binary64_3800` `difference-of-sqr-1_binary64_3799` `difference-of-squares_binary64_3798` `count-2_binary64_3777`

Counts

1 → 1

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	21	23
2	54	23
3	144	21
4	317	18
5	917	18
6	2433	18
7	3237	18
8	4433	18
9	4979	18
10	4999	18
11	4887	18

prune4.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

10.0b

Counts

2 → 2

Compiler

Compiled 40 to 26 computations (35% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1))
0.0b	(/.f64 x (exp.f64 wj))
3.3b	(+.f64 wj (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1)))

rewrite163.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

9.7b

Rules

49×	`*-un-lft-identity_binary64_3829`
48×	`add-sqr-sqrt_binary64_3851`
38×	`times-frac_binary64_3835`
23×	`add-cube-cbrt_binary64_3864`
10×	`difference-of-squares_binary64_3798`
9×	`associate-/l*_binary64_3774`
8×	`distribute-lft-out_binary64_3780`
7×	`add-cbrt-cube_binary64_3865` `associate-/r*_binary64_3773`
6×	`add-exp-log_binary64_3867`
5×	`add-log-exp_binary64_3868` `distribute-lft-out--_binary64_3781`
3×	`pow1_binary64_3890`
2×	`flip3-+_binary64_3832` `flip-+_binary64_3803` `div-sub_binary64_3834` `div-exp_binary64_3880` `cbrt-undiv_binary64_3863` `frac-2neg_binary64_3840` `clear-num_binary64_3828` `div-inv_binary64_3826` `associate-/l/_binary64_3776` `associate-/r/_binary64_3775`
1×	`sum-log_binary64_3920` `associate-+r-_binary64_3763` `+-commutative_binary64_3759` `flip3--_binary64_3833` `flip--_binary64_3804`

Counts

3 → 91

Calls

3 calls:

20.0ms	(+.f64 wj (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1)))
19.0ms	(/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1))
5.0ms	(/.f64 x (exp.f64 wj))

Compiler

Compiled 2007 to 813 computations (59.5% saved)

series585.0ms (5.4%)

Error

0.4b

Counts

3 → 44

Calls

3 calls:

239.0ms	(+.f64 wj (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1)))
203.0ms	(/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1))
99.0ms	(/.f64 x (exp.f64 wj))

Compiler

Compiled 1505 to 980 computations (34.9% saved)

simplify152.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

361×	`distribute-rgt-in_binary64_3779`
311×	`distribute-lft-in_binary64_3778`
255×	`associate--l+_binary64_3766`
233×	`div-sub_binary64_3834`
232×	`associate--r+_binary64_3765`
189×	`associate-l_binary64_3770`
183×	`associate-*l/_binary64_3772`
173×	`associate-/l*_binary64_3774`
170×	`sub-neg_binary64_3822`
166×	`associate-r_binary64_3769`
157×	`associate-/r*_binary64_3773`
156×	`associate-*r/_binary64_3771`
141×	`cancel-sign-sub-inv_binary64_3795`
117×	`associate-/l/_binary64_3776`
108×	`times-frac_binary64_3835`
85×	`+-commutative_binary64_3759`
80×	`neg-mul-1_binary64_3825`
67×	`associate-+l-_binary64_3764`
59×	`distribute-neg-in_binary64_3790`
47×	`associate-/r/_binary64_3775`
46×	`*-commutative_binary64_3760`
44×	`neg-sub0_binary64_3824`
39×	`associate-+l+_binary64_3762`
38×	`distribute-neg-frac_binary64_3793`
30×	`unsub-neg_binary64_3823`
27×	`exp-prod_binary64_3881`
25×	`distribute-rgt-neg-in_binary64_3787`
24×	`*-rgt-identity_binary64_3819` `distribute-lft-neg-out_binary64_3788`
23×	`associate-+r+_binary64_3761`
20×	`distribute-rgt-out_binary64_3782`
19×	`distribute-lft-neg-in_binary64_3786`
18×	`sqr-pow_binary64_3801`
17×	`distribute-rgt-neg-out_binary64_3789`
16×	`associate--l-_binary64_3767`
13×	`cube-prod_binary64_3857`
12×	`exp-diff_binary64_3877` `exp-sum_binary64_3875` `/-rgt-identity_binary64_3820` `*-lft-identity_binary64_3818`
11×	`log-div_binary64_3916`
10×	`cube-div_binary64_3858`
9×	`distribute-rgt1-in_binary64_3785` `distribute-rgt-out--_binary64_3783`
8×	`log-prod_binary64_3915` `unswap-sqr_binary64_3797`
7×	`log-pow_binary64_3918` `cube-unmult_binary64_3866`
5×	`unpow3_binary64_3895` `prod-exp_binary64_3878`
4×	`exp-to-pow_binary64_3891` `associate--r-_binary64_3768`
3×	`difference-of-squares_binary64_3798`
2×	`cube-mult_binary64_3859` `sqr-neg_binary64_3843` `remove-double-neg_binary64_3817` `distribute-lft1-in_binary64_3784` `distribute-lft-out--_binary64_3781` `distribute-lft-out_binary64_3780`
1×	`log-rec_binary64_3917` `unpow2_binary64_3894` `unpow1/2_binary64_3893` `pow-plus_binary64_3892` `unpow1_binary64_3887` `rec-exp_binary64_3879` `1-exp_binary64_3873` `rem-log-exp_binary64_3870` `cube-neg_binary64_3856` `rem-sqrt-square_binary64_3842` `mul-1-neg_binary64_3821` `difference-of-sqr--1_binary64_3800` `difference-of-sqr-1_binary64_3799` `count-2_binary64_3777` `associate-+r-_binary64_3763`
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` `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` `exp-neg_binary64_3876` `e-exp-1_binary64_3874` `exp-1-e_binary64_3872` `exp-0_binary64_3871` `rem-exp-log_binary64_3869` `rem-3cbrt-rft_binary64_3855` `rem-3cbrt-lft_binary64_3854` `rem-cbrt-cube_binary64_3853` `rem-cube-cbrt_binary64_3852` `sqr-abs_binary64_3844` `rem-square-sqrt_binary64_3841` `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` `swap-sqr_binary64_3796` `cancel-sign-sub_binary64_3794` `distribute-frac-neg_binary64_3792` `distribute-neg-out_binary64_3791`

Counts

135 → 65

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	217	2837
1	546	2761
2	1492	2744
3	4479	2744
4	4986	2744
5	4956	2744

prune72.0ms (0.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	62	3	65
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	63	4	67

Error

0.4b

Counts

67 → 4

Compiler

Compiled 1313 to 577 computations (56.1% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 x (+.f64 (+.f64 wj wj) (.f64 (pow.f64 wj 3) 8/3)))
0.0b	(-.f64 (.f64 (+.f64 (.f64 5/2 x) 1) (.f64 wj wj)) (+.f64 (pow.f64 wj 3) (.f64 x (+.f64 (+.f64 wj wj) (*.f64 (pow.f64 wj 3) 8/3)))))
0.1b	(*.f64 (pow.f64 wj 3) 8/3)
8.3b	(.f64 (+.f64 (.f64 5/2 x) 1) (*.f64 wj wj))

rewrite253.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

0.4b

Rules

22×	`add-sqr-sqrt_binary64_3851`
18×	`associate-l_binary64_3770`
16×	`add-exp-log_binary64_3867`
13×	`add-cbrt-cube_binary64_3865`
12×	`add-cube-cbrt_binary64_3864` `*-un-lft-identity_binary64_3829`
11×	`pow1_binary64_3890`
9×	`add-log-exp_binary64_3868`
7×	`prod-exp_binary64_3878` `associate-r_binary64_3769`
6×	`unswap-sqr_binary64_3797` `flip3-+_binary64_3832` `associate-*l/_binary64_3772` `flip-+_binary64_3803`
5×	`cbrt-unprod_binary64_3862`
4×	`pow-prod-down_binary64_3900` `unpow-prod-down_binary64_3908` `cube-prod_binary64_3857` `frac-sub_binary64_3838`
3×	`*-commutative_binary64_3760` `cancel-sign-sub-inv_binary64_3795`
2×	`sqr-pow_binary64_3801` `diff-log_binary64_3921` `associate-*r/_binary64_3771`
1×	`pow-to-exp_binary64_3898` `pow-exp_binary64_3897` `unpow3_binary64_3895` `cube-mult_binary64_3859` `sum-log_binary64_3920` `flip3--_binary64_3833` `sub-neg_binary64_3822` `flip--_binary64_3804` `associate--r+_binary64_3765` `distribute-rgt-in_binary64_3779` `distribute-lft-in_binary64_3778`

Counts

4 → 94

Calls

4 calls:

22.0ms	(-.f64 (.f64 (+.f64 (.f64 5/2 x) 1) (.f64 wj wj)) (+.f64 (pow.f64 wj 3) (.f64 x (+.f64 (+.f64 wj wj) (*.f64 (pow.f64 wj 3) 8/3)))))
12.0ms	(.f64 x (+.f64 (+.f64 wj wj) (.f64 (pow.f64 wj 3) 8/3)))
10.0ms	(.f64 (+.f64 (.f64 5/2 x) 1) (*.f64 wj wj))
7.0ms	(*.f64 (pow.f64 wj 3) 8/3)

Compiler

Compiled 3896 to 2454 computations (37% saved)

series987.0ms (9.2%)

Error

0.4b

Counts

4 → 35

Calls

4 calls:

508.0ms	(-.f64 (.f64 (+.f64 (.f64 5/2 x) 1) (.f64 wj wj)) (+.f64 (pow.f64 wj 3) (.f64 x (+.f64 (+.f64 wj wj) (*.f64 (pow.f64 wj 3) 8/3)))))
219.0ms	(.f64 x (+.f64 (+.f64 wj wj) (.f64 (pow.f64 wj 3) 8/3)))
157.0ms	(.f64 (+.f64 (.f64 5/2 x) 1) (*.f64 wj wj))
54.0ms	(*.f64 (pow.f64 wj 3) 8/3)

Compiler

Compiled 2329 to 1709 computations (26.6% saved)

simplify139.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

406×	`associate-l_binary64_3770`
397×	`associate-r_binary64_3769`
273×	`distribute-rgt-neg-in_binary64_3787`
249×	`unswap-sqr_binary64_3797`
233×	`distribute-lft-neg-in_binary64_3786`
220×	`distribute-rgt-in_binary64_3779`
210×	`distribute-lft-in_binary64_3778`
169×	`*-commutative_binary64_3760`
149×	`log-prod_binary64_3915`
142×	`distribute-neg-in_binary64_3790`
140×	`exp-prod_binary64_3881`
107×	`sub-neg_binary64_3822`
84×	`cube-prod_binary64_3857`
80×	`cancel-sign-sub-inv_binary64_3795`
68×	`distribute-lft-neg-out_binary64_3788`
64×	`sqr-pow_binary64_3801`
59×	`+-commutative_binary64_3759`
57×	`swap-sqr_binary64_3796`
53×	`neg-mul-1_binary64_3825` `neg-sub0_binary64_3824`
46×	`distribute-rgt-neg-out_binary64_3789`
43×	`exp-sum_binary64_3875`
33×	`unsub-neg_binary64_3823`
32×	`associate--r+_binary64_3765`
30×	`associate-+l+_binary64_3762`
29×	`*-rgt-identity_binary64_3819`
25×	`*-lft-identity_binary64_3818`
22×	`associate-+r+_binary64_3761`
21×	`associate--l+_binary64_3766`
18×	`unpow3_binary64_3895`
15×	`log-pow_binary64_3918`
13×	`difference-of-squares_binary64_3798`
12×	`times-frac_binary64_3835`
11×	`cube-mult_binary64_3859`
8×	`exp-diff_binary64_3877` `mul-1-neg_binary64_3821` `distribute-rgt-out_binary64_3782`
7×	`pow-plus_binary64_3892` `pow-sqr_binary64_3802`
6×	`distribute-rgt-out--_binary64_3783`
5×	`cube-unmult_binary64_3866` `rem-sqrt-square_binary64_3842`
4×	`count-2_binary64_3777` `associate-+r-_binary64_3763`
3×	`div-exp_binary64_3880`
2×	`rem-square-sqrt_binary64_3841` `associate-/r*_binary64_3773` `associate-+l-_binary64_3764`
1×	`unpow2_binary64_3894` `unpow1/2_binary64_3893` `unpow1_binary64_3887` `exp-lft-sqr_binary64_3884` `prod-exp_binary64_3878` `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` `+-rgt-identity_binary64_3814` `difference-of-sqr-1_binary64_3799` `distribute-rgt1-in_binary64_3785`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_4092` `erf-erfc_binary64_4091` `erf-odd_binary64_4090` `if-if-and-not_binary64_4089` `if-if-and_binary64_4088` `if-if-or-not_binary64_4087` `if-if-or_binary64_4086` `if-not_binary64_4085` `if-same_binary64_4084` `if-false_binary64_4083` `if-true_binary64_4082` `not-gte_binary64_4081` `not-lte_binary64_4080` `not-gt_binary64_4079` `not-lt_binary64_4078` `gte-same_binary64_4077` `lte-same_binary64_4076` `gt-same_binary64_4075` `lt-same_binary64_4074` `sinh---cosh_binary64_4021` `sinh-+-cosh_binary64_4020` `sinh-cosh_binary64_4019` `tanh-def-c_binary64_4018` `tanh-def-b_binary64_4017` `tanh-def-a_binary64_4016` `cosh-def_binary64_4015` `sinh-def_binary64_4014` `tan-neg_binary64_3961` `cos-neg_binary64_3960` `sin-neg_binary64_3959` `tan-0_binary64_3958` `cos-0_binary64_3957` `sin-0_binary64_3956` `hang-m-tan_binary64_3955` `hang-p-tan_binary64_3954` `hang-m0-tan_binary64_3953` `hang-p0-tan_binary64_3952` `hang-0m-tan_binary64_3951` `hang-0p-tan_binary64_3950` `tan-+PI/2_binary64_3949` `tan-+PI_binary64_3948` `tan-PI_binary64_3947` `tan-PI/3_binary64_3946` `tan-PI/4_binary64_3945` `tan-PI/6_binary64_3944` `cos-+PI/2_binary64_3943` `cos-+PI_binary64_3942` `cos-PI_binary64_3941` `cos-PI/2_binary64_3940` `cos-PI/3_binary64_3939` `cos-PI/4_binary64_3938` `cos-PI/6_binary64_3937` `sin-+PI/2_binary64_3936` `sin-+PI_binary64_3935` `sin-PI_binary64_3934` `sin-PI/2_binary64_3933` `sin-PI/3_binary64_3932` `sin-PI/4_binary64_3931` `sin-PI/6_binary64_3930` `sub-1-sin_binary64_3929` `sub-1-cos_binary64_3928` `-1-add-sin_binary64_3927` `-1-add-cos_binary64_3926` `1-sub-sin_binary64_3925` `1-sub-cos_binary64_3924` `cos-sin-sum_binary64_3923` `log-E_binary64_3919` `log-rec_binary64_3917` `log-div_binary64_3916` `pow-base-0_binary64_3913` `unpow1/3_binary64_3896` `exp-to-pow_binary64_3891` `pow-base-1_binary64_3889` `unpow0_binary64_3888` `unpow-1_binary64_3886` `exp-lft-cube_binary64_3885` `exp-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` `/-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` `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` `distribute-lft-out--_binary64_3781` `distribute-lft-out_binary64_3780` `associate-/l/_binary64_3776` `associate-/r/_binary64_3775` `associate-/l_binary64_3774` `associate-l/_binary64_3772` `associate-r/_binary64_3771` `associate--r-_binary64_3768` `associate--l-_binary64_3767`

Counts

129 → 111

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	228	3148
1	675	2953
2	3035	2945
3	4918	2945
4	4966	2945

prune209.0ms (1.9%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	107	4	111
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	107	8	115

Error

0.4b

Counts

115 → 8

Compiler

Compiled 4012 to 2557 computations (36.3% saved)

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b	(.f64 (cbrt.f64 (.f64 wj (.f64 wj (+.f64 (.f64 5/2 x) 1)))) (cbrt.f64 (.f64 wj (.f64 wj (+.f64 (*.f64 5/2 x) 1)))))
19.5b	(cbrt.f64 (.f64 wj (.f64 wj (+.f64 (*.f64 5/2 x) 1))))
19.5b	(cbrt.f64 (.f64 wj (.f64 wj (+.f64 (*.f64 5/2 x) 1))))
19.5b	(cbrt.f64 (.f64 wj (.f64 wj (+.f64 (*.f64 5/2 x) 1))))

rewrite280.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

0.4b

Rules

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

Counts

4 → 72

Calls

4 calls:

10.0ms	(.f64 (cbrt.f64 (.f64 wj (.f64 wj (+.f64 (.f64 5/2 x) 1)))) (cbrt.f64 (.f64 wj (.f64 wj (+.f64 (*.f64 5/2 x) 1)))))
7.0ms	(cbrt.f64 (.f64 wj (.f64 wj (+.f64 (*.f64 5/2 x) 1))))
7.0ms	(cbrt.f64 (.f64 wj (.f64 wj (+.f64 (*.f64 5/2 x) 1))))
7.0ms	(cbrt.f64 (.f64 wj (.f64 wj (+.f64 (*.f64 5/2 x) 1))))

Compiler

Compiled 4409 to 3110 computations (29.5% saved)

series1.3s (11.8%)

Error

0.4b

Counts

4 → 32

Calls

4 calls:

345.0ms	(.f64 (cbrt.f64 (.f64 wj (.f64 wj (+.f64 (.f64 5/2 x) 1)))) (cbrt.f64 (.f64 wj (.f64 wj (+.f64 (*.f64 5/2 x) 1)))))
286.0ms	(cbrt.f64 (.f64 wj (.f64 wj (+.f64 (*.f64 5/2 x) 1))))
284.0ms	(cbrt.f64 (.f64 wj (.f64 wj (+.f64 (*.f64 5/2 x) 1))))
270.0ms	(cbrt.f64 (.f64 wj (.f64 wj (+.f64 (*.f64 5/2 x) 1))))

Compiler

Compiled 4978 to 3820 computations (23.3% saved)

simplify99.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

763×	`distribute-rgt-in_binary64_3779`
717×	`distribute-lft-in_binary64_3778`
261×	`unswap-sqr_binary64_3797`
226×	`*-commutative_binary64_3760`
215×	`exp-sum_binary64_3875`
159×	`exp-prod_binary64_3881`
127×	`unsub-neg_binary64_3823`
117×	`sqr-pow_binary64_3801`
94×	`sub-neg_binary64_3822`
91×	`associate-l_binary64_3770` `associate-r_binary64_3769`
79×	`cancel-sign-sub-inv_binary64_3795`
72×	`log-prod_binary64_3915`
70×	`distribute-rgt-neg-in_binary64_3787`
63×	`exp-diff_binary64_3877`
59×	`distribute-lft-neg-in_binary64_3786`
50×	`distribute-neg-in_binary64_3790`
46×	`div-sub_binary64_3834` `neg-sub0_binary64_3824`
44×	`distribute-rgt-out_binary64_3782`
43×	`neg-mul-1_binary64_3825`
38×	`associate-+r+_binary64_3761`
37×	`+-commutative_binary64_3759`
36×	`times-frac_binary64_3835` `swap-sqr_binary64_3796`
34×	`exp-to-pow_binary64_3891`
33×	`distribute-lft-neg-out_binary64_3788`
29×	`distribute-rgt-neg-out_binary64_3789`
28×	`associate-+l+_binary64_3762`
27×	`pow-sqr_binary64_3802`
24×	`associate-+r-_binary64_3763`
22×	`cube-prod_binary64_3857` `*-rgt-identity_binary64_3819`
19×	`associate--l+_binary64_3766`
18×	`distribute-neg-out_binary64_3791`
17×	`*-lft-identity_binary64_3818`
16×	`unpow1/3_binary64_3896` `exp-neg_binary64_3876` `associate-/r*_binary64_3773`
14×	`associate-/l*_binary64_3774`
13×	`distribute-rgt-out--_binary64_3783`
12×	`log-pow_binary64_3918`
11×	`exp-lft-sqr_binary64_3884` `rem-exp-log_binary64_3869` `distribute-lft-out_binary64_3780` `associate-+l-_binary64_3764`
10×	`log-div_binary64_3916` `pow-plus_binary64_3892` `distribute-rgt1-in_binary64_3785` `associate--r-_binary64_3768`
9×	`sub0-neg_binary64_3816`
8×	`+-rgt-identity_binary64_3814`
6×	`cube-unmult_binary64_3866` `/-rgt-identity_binary64_3820` `distribute-lft-out--_binary64_3781`
5×	`rem-sqrt-square_binary64_3842` `mul-1-neg_binary64_3821` `remove-double-neg_binary64_3817`
4×	`unpow3_binary64_3895` `--rgt-identity_binary64_3815` `distribute-frac-neg_binary64_3792` `associate--r+_binary64_3765`
3×	`unpow1/2_binary64_3893` `cube-mult_binary64_3859`
2×	`log-rec_binary64_3917` `unpow2_binary64_3894` `unpow1_binary64_3887` `rem-3cbrt-lft_binary64_3854` `cancel-sign-sub_binary64_3794` `count-2_binary64_3777` `associate-/r/_binary64_3775` `associate-l/_binary64_3772` `associate-r/_binary64_3771`
1×	`1-exp_binary64_3873` `exp-1-e_binary64_3872` `rem-3cbrt-rft_binary64_3855` `rem-square-sqrt_binary64_3841` `difference-of-sqr-1_binary64_3799` `distribute-lft1-in_binary64_3784`
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-cbrt_binary64_3883` `exp-sqrt_binary64_3882` `div-exp_binary64_3880` `rec-exp_binary64_3879` `prod-exp_binary64_3878` `e-exp-1_binary64_3874` `exp-0_binary64_3871` `rem-log-exp_binary64_3870` `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` `+-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-squares_binary64_3798` `distribute-neg-frac_binary64_3793` `associate-/l/_binary64_3776` `associate--l-_binary64_3767`

Counts

104 → 74

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	157	2713
1	368	2539
2	903	2264
3	2011	2061
4	5243	2061

prune213.0ms (2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	72	2	74
Fresh	1	4	5
Picked	1	0	1
Done	0	2	2
Total	74	8	82

Error

0.3b

Counts

82 → 8

Compiler

Compiled 4011 to 2794 computations (30.3% saved)

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

8.3b	(.f64 (+.f64 (.f64 5/2 x) 1) (pow.f64 (/.f64 -1 wj) -2))
19.5b	(cbrt.f64 (.f64 wj (.f64 wj (+.f64 (*.f64 5/2 x) 1))))
19.5b	(cbrt.f64 (.f64 wj (.f64 wj (+.f64 (*.f64 5/2 x) 1))))
19.5b	(cbrt.f64 (.f64 (+.f64 (.f64 5/2 x) 1) (pow.f64 (/.f64 -1 wj) -2)))

rewrite298.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Rules

21×	`add-sqr-sqrt_binary64_3851`
17×	`associate-r_binary64_3769`
15×	`unpow-prod-down_binary64_3908`
13×	`add-cube-cbrt_binary64_3864` `*-un-lft-identity_binary64_3829`
12×	`add-exp-log_binary64_3867`
10×	`times-frac_binary64_3835`
8×	`associate-*r/_binary64_3771`
6×	`add-cbrt-cube_binary64_3865` `cbrt-div_binary64_3861`
4×	`pow1_binary64_3890` `add-log-exp_binary64_3868` `flip3-+_binary64_3832` `associate-*l/_binary64_3772` `flip-+_binary64_3803` `prod-exp_binary64_3878` `unswap-sqr_binary64_3797`
3×	`pow1/3_binary64_3911` `cbrt-prod_binary64_3860` `associate-l_binary64_3770`
2×	`pow-exp_binary64_3897` `sqr-pow_binary64_3801`
1×	`pow-to-exp_binary64_3898` `div-exp_binary64_3880` `cbrt-unprod_binary64_3862` `div-inv_binary64_3826` `*-commutative_binary64_3760`

Counts

4 → 72

Calls

4 calls:

15.0ms	(.f64 (+.f64 (.f64 5/2 x) 1) (pow.f64 (/.f64 -1 wj) -2))
11.0ms	(cbrt.f64 (.f64 (+.f64 (.f64 5/2 x) 1) (pow.f64 (/.f64 -1 wj) -2)))
7.0ms	(cbrt.f64 (.f64 wj (.f64 wj (+.f64 (*.f64 5/2 x) 1))))
7.0ms	(cbrt.f64 (.f64 wj (.f64 wj (+.f64 (*.f64 5/2 x) 1))))

Compiler

Compiled 4474 to 3277 computations (26.8% saved)

series1.1s (10.4%)

Error

0.3b

Counts

4 → 33

Calls

4 calls:

290.0ms	(cbrt.f64 (.f64 wj (.f64 wj (+.f64 (*.f64 5/2 x) 1))))
288.0ms	(cbrt.f64 (.f64 (+.f64 (.f64 5/2 x) 1) (pow.f64 (/.f64 -1 wj) -2)))
278.0ms	(cbrt.f64 (.f64 wj (.f64 wj (+.f64 (*.f64 5/2 x) 1))))
169.0ms	(.f64 (+.f64 (.f64 5/2 x) 1) (pow.f64 (/.f64 -1 wj) -2))

Compiler

Compiled 5168 to 3973 computations (23.1% saved)

simplify150.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

362×	`distribute-rgt-in_binary64_3779`
353×	`distribute-lft-in_binary64_3778`
325×	`*-commutative_binary64_3760`
273×	`log-prod_binary64_3915`
257×	`associate-/l*_binary64_3774`
207×	`associate-/r/_binary64_3775`
189×	`unswap-sqr_binary64_3797`
172×	`exp-sum_binary64_3875`
138×	`associate-l_binary64_3770`
133×	`sqr-pow_binary64_3801`
125×	`associate-r_binary64_3769`
124×	`exp-prod_binary64_3881`
116×	`unsub-neg_binary64_3823`
106×	`log-div_binary64_3916`
93×	`log-pow_binary64_3918`
90×	`distribute-rgt-out_binary64_3782`
80×	`times-frac_binary64_3835`
76×	`associate-*l/_binary64_3772`
74×	`-rgt-identity_binary64_3819` `associate-r/_binary64_3771`
73×	`associate-/l/_binary64_3776`
72×	`sub-neg_binary64_3822` `*-lft-identity_binary64_3818`
70×	`cancel-sign-sub-inv_binary64_3795`
57×	`distribute-rgt-neg-in_binary64_3787`
53×	`distribute-rgt-neg-out_binary64_3789` `distribute-lft-neg-out_binary64_3788`
46×	`distribute-neg-in_binary64_3790`
45×	`exp-diff_binary64_3877`
44×	`associate-+l+_binary64_3762`
41×	`exp-to-pow_binary64_3891` `distribute-lft-neg-in_binary64_3786` `associate-+r+_binary64_3761` `+-commutative_binary64_3759`
40×	`swap-sqr_binary64_3796`
37×	`cube-prod_binary64_3857`
31×	`div-sub_binary64_3834` `neg-sub0_binary64_3824`
29×	`pow-sqr_binary64_3802` `associate-/r*_binary64_3773`
27×	`neg-mul-1_binary64_3825`
24×	`unpow3_binary64_3895`
23×	`log-rec_binary64_3917`
20×	`associate-+r-_binary64_3763`
16×	`pow-plus_binary64_3892`
14×	`unpow1/3_binary64_3896` `cube-div_binary64_3858` `associate--l+_binary64_3766`
13×	`distribute-rgt1-in_binary64_3785`
11×	`unpow-1_binary64_3886` `rem-exp-log_binary64_3869` `distribute-rgt-out--_binary64_3783`
10×	`cube-unmult_binary64_3866` `associate--r-_binary64_3768`
9×	`exp-neg_binary64_3876` `associate-+l-_binary64_3764`
8×	`distribute-lft1-in_binary64_3784` `associate--r+_binary64_3765`
7×	`mul-1-neg_binary64_3821` `distribute-neg-out_binary64_3791` `distribute-lft-out_binary64_3780`
6×	`cube-mult_binary64_3859` `rem-sqrt-square_binary64_3842` `/-rgt-identity_binary64_3820` `sub0-neg_binary64_3816` `+-rgt-identity_binary64_3814` `distribute-frac-neg_binary64_3792` `count-2_binary64_3777`
5×	`unpow2_binary64_3894` `exp-lft-sqr_binary64_3884` `prod-exp_binary64_3878`
4×	`unpow1/2_binary64_3893` `remove-double-neg_binary64_3817` `--rgt-identity_binary64_3815`
3×	`remove-double-div_binary64_3805`
2×	`rem-3cbrt-lft_binary64_3854` `distribute-neg-frac_binary64_3793` `distribute-lft-out--_binary64_3781`
1×	`log-E_binary64_3919` `unpow1_binary64_3887` `1-exp_binary64_3873` `exp-1-e_binary64_3872` `cube-neg_binary64_3856` `difference-of-sqr-1_binary64_3799` `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` `pow-base-0_binary64_3913` `pow-base-1_binary64_3889` `unpow0_binary64_3888` `exp-lft-cube_binary64_3885` `exp-cbrt_binary64_3883` `exp-sqrt_binary64_3882` `div-exp_binary64_3880` `rec-exp_binary64_3879` `e-exp-1_binary64_3874` `exp-0_binary64_3871` `rem-log-exp_binary64_3870` `rem-3cbrt-rft_binary64_3855` `rem-cbrt-cube_binary64_3853` `rem-cube-cbrt_binary64_3852` `sqr-abs_binary64_3844` `sqr-neg_binary64_3843` `rem-square-sqrt_binary64_3841` `+-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` `difference-of-sqr--1_binary64_3800` `difference-of-squares_binary64_3798` `associate--l-_binary64_3767`

Counts

105 → 93

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	177	2246
1	404	2132
2	1180	1869
3	2513	1732
4	4606	1701
5	4899	1701
6	4925	1701

prune297.0ms (2.8%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	93	8	101

Error

0.3b

Counts

101 → 8

Compiler

Compiled 5166 to 3645 computations (29.4% saved)

regimes518.0ms (4.8%)

Accuracy

Total 0.3b remaining (78.1%)

Threshold costs 0.3b (78.1%)

Compiler

Compiled 5553 to 3702 computations (33.3% saved)

bsearch5.0ms (0%)

Compiler: Compiled 16 to 8 computations (50% saved)

simplify30.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	88
1	56	88
2	75	88
3	100	88
4	133	88
5	180	88
6	218	88
7	335	88
8	468	88
9	433	88
10	468	88
11	495	88
12	525	88
13	569	88
14	605	88
15	622	88
16	634	88
17	639	88
18	640	88
19	616	88

end0.0ms (0%)

sample3.1s (28.8%)

Algorithm

1×

intervals

Results

821.0ms	3858×	body	8192	exit
241.0ms	6560×	body	128	valid
83.0ms	703×	body	512	valid
56.0ms	719×	body	256	valid
3.0ms	75×	body	128	invalid
3.0ms	18×	body	1024	valid
0.0ms	7×	body	128	overflowed

Compiler

Compiled 1931 to 1283 computations (33.6% saved)

Iter	Nodes	Cost
0	34	88
1	56	88
2	75	88
3	100	88
4	133	88
5	180	88
6	218	88
7	335	88
8	468	88
9	433	88
10	468	88
11	495	88
12	525	88
13	569	88
14	605	88
15	622	88
16	634	88
17	639	88
18	640	88
19	616	88

Iter	Nodes	Cost
0	34	88
1	56	88
2	75	88
3	100	88
4	133	88
5	180	88
6	218	88
7	335	88
8	468	88
9	433	88
10	468	88
11	495	88
12	525	88
13	569	88
14	605	88
15	622	88
16	634	88
17	639	88
18	640	88
19	616	88

Details

analyze540.0ms (5%)

sample52.0ms (0.5%)

simplify137.0ms (1.3%)

prune4.0ms (0%)

localize8.0ms (0.1%)

rewrite163.0ms (1.5%)

series585.0ms (5.4%)

simplify152.0ms (1.4%)

prune72.0ms (0.7%)

localize19.0ms (0.2%)

rewrite253.0ms (2.4%)

series987.0ms (9.2%)

simplify139.0ms (1.3%)

prune209.0ms (1.9%)

localize23.0ms (0.2%)

rewrite280.0ms (2.6%)

series1.3s (11.8%)

simplify99.0ms (0.9%)

prune213.0ms (2%)

localize27.0ms (0.2%)

rewrite298.0ms (2.8%)

series1.1s (10.4%)

simplify150.0ms (1.4%)

prune297.0ms (2.8%)

regimes518.0ms (4.8%)

bsearch5.0ms (0%)

simplify30.0ms (0.3%)

end0.0ms (0%)

sample3.1s (28.8%)

Profiling

Iter	Nodes	Cost
0	34	88
1	56	88
2	75	88
3	100	88
4	133	88
5	180	88
6	218	88
7	335	88
8	468	88
9	433	88
10	468	88
11	495	88
12	525	88
13	569	88
14	605	88
15	622	88
16	634	88
17	639	88
18	640	88
19	616	88