Details

analyze149.0ms (2.5%)

Algorithm

1×	search
2×	egg-herbie

Rules

744×	`distribute-lft-out_binary64`
629×	`associate-/l/_binary64`
586×	`associate-/l*_binary64`
496×	`associate-/r*_binary64`
430×	`distribute-rgt-in_binary64`
425×	`*-commutative_binary64`
381×	`unswap-sqr_binary64`
332×	`distribute-rgt-out_binary64`
281×	`associate-+l+_binary64`
273×	`associate-*r/_binary64`
213×	`associate-*l/_binary64`
183×	`*-lft-identity_binary64`
179×	`associate-l_binary64`
165×	`distribute-lft-in_binary64`
157×	`associate-r_binary64`
133×	`*-rgt-identity_binary64`
126×	`sqr-pow_binary64`
109×	`+-commutative_binary64`
105×	`associate-+r+_binary64`
68×	`associate-/r/_binary64`
32×	`pow-sqr_binary64`
21×	`cube-prod_binary64`
20×	`pow-plus_binary64`
11×	`unpow3_binary64`
9×	`cube-unmult_binary64`
8×	`cube-mult_binary64`
6×	`/-rgt-identity_binary64`
4×	`unpow2_binary64`
3×	`unpow1_binary64`
2×	`unpow1/2_binary64` `rem-sqrt-square_binary64`
1×	`1-exp_binary64` `sqr-abs_binary64`
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` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `exp-prod_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `div-sub_binary64` `neg-mul-1_binary64` `neg-sub0_binary64` `unsub-neg_binary64` `sub-neg_binary64` `mul-1-neg_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `swap-sqr_binary64` `cancel-sign-sub-inv_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64` `associate-+l-_binary64` `associate-+r-_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	77
1	70	62
2	210	45
3	761	41
4	1373	41
5	3002	41
6	3334	41
7	3492	41
8	4100	41
9	4119	41
10	4206	41
11	4850	41
12	5050	41
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	74.9%	25.1%	0
0%	74.9%	25.1%	1
37.5%	37.5%	25.1%	2
37.5%	18.7%	43.8%	3
46.8%	9.4%	43.8%	4
51.5%	4.7%	43.8%	5
51.5%	2.3%	46.1%	6
52.7%	1.2%	46.1%	7
53.3%	0.6%	46.1%	8
53.3%	0.3%	46.4%	9
53.4%	0.1%	46.4%	10
53.5%	0.1%	46.4%	11
53.5%	0%	46.5%	12
53.5%	0%	46.5%	13
53.5%	0%	46.5%	14

Compiler

Compiled 70 to 33 computations (52.9% saved)

sample37.0ms (0.6%)

Algorithm

1×

intervals

Results

24.0ms	256×	body	128	valid
3.0ms	256×	pre	128	true

Compiler

Compiled 137 to 65 computations (52.6% saved)

simplify127.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

744×	`distribute-lft-out_binary64`
629×	`associate-/l/_binary64`
586×	`associate-/l*_binary64`
496×	`associate-/r*_binary64`
430×	`distribute-rgt-in_binary64`
425×	`*-commutative_binary64`
381×	`unswap-sqr_binary64`
332×	`distribute-rgt-out_binary64`
281×	`associate-+l+_binary64`
273×	`associate-*r/_binary64`
213×	`associate-*l/_binary64`
183×	`*-lft-identity_binary64`
179×	`associate-l_binary64`
165×	`distribute-lft-in_binary64`
157×	`associate-r_binary64`
133×	`*-rgt-identity_binary64`
126×	`sqr-pow_binary64`
109×	`+-commutative_binary64`
105×	`associate-+r+_binary64`
68×	`associate-/r/_binary64`
32×	`pow-sqr_binary64`
21×	`cube-prod_binary64`
20×	`pow-plus_binary64`
11×	`unpow3_binary64`
9×	`cube-unmult_binary64`
8×	`cube-mult_binary64`
6×	`/-rgt-identity_binary64`
4×	`unpow2_binary64`
3×	`unpow1_binary64`
2×	`unpow1/2_binary64` `rem-sqrt-square_binary64`
1×	`1-exp_binary64` `sqr-abs_binary64`
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` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `exp-prod_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `div-sub_binary64` `neg-mul-1_binary64` `neg-sub0_binary64` `unsub-neg_binary64` `sub-neg_binary64` `mul-1-neg_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `swap-sqr_binary64` `cancel-sign-sub-inv_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64` `associate-+l-_binary64` `associate-+r-_binary64`

Counts

1 → 1

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	32	77
1	70	62
2	210	45
3	761	41
4	1373	41
5	3002	41
6	3334	41
7	3492	41
8	4100	41
9	4119	41
10	4206	41
11	4850	41
12	5050	41

prune4.0ms (0.1%)

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

0.1b

Counts

2 → 2

Compiler

Compiled 119 to 75 computations (37% saved)

localize21.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 1/5 (pow.f64 x 4))
0.1b	(.f64 (fabs.f64 x) (/.f64 (+.f64 (.f64 1/21 (pow.f64 x 6)) (+.f64 2 (+.f64 (.f64 2/3 (.f64 x x)) (*.f64 1/5 (pow.f64 x 4))))) (sqrt.f64 PI.f64)))
0.2b	(.f64 2/3 (.f64 x x))
1.0b	(sqrt.f64 PI.f64)

rewrite209.0ms (3.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

38×	`add-sqr-sqrt_binary64`
30×	`associate-r_binary64`
23×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
20×	`times-frac_binary64`
19×	`add-exp-log_binary64`
16×	`add-cbrt-cube_binary64`
13×	`sqrt-prod_binary64`
12×	`pow1_binary64`
9×	`associate-l_binary64`
8×	`prod-exp_binary64`
7×	`unswap-sqr_binary64`
6×	`cbrt-unprod_binary64`
4×	`add-log-exp_binary64` `pow-prod-down_binary64` `unpow-prod-down_binary64`
3×	`*-commutative_binary64`
2×	`sqr-pow_binary64`
1×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `associate-*r/_binary64` `div-inv_binary64` `pow-to-exp_binary64` `pow-exp_binary64`

Counts

4 → 99

Calls

4 calls:

17.0ms	(.f64 (fabs.f64 x) (/.f64 (+.f64 (.f64 1/21 (pow.f64 x 6)) (+.f64 2 (+.f64 (.f64 2/3 (.f64 x x)) (*.f64 1/5 (pow.f64 x 4))))) (sqrt.f64 PI.f64)))
6.0ms	(*.f64 1/5 (pow.f64 x 4))
5.0ms	(.f64 2/3 (.f64 x x))
1.0ms	(sqrt.f64 PI.f64)

Compiler

Compiled 3378 to 2265 computations (32.9% saved)

series82.0ms (1.4%)

Error

0.1b

Counts

4 → 18

Calls

4 calls:

42.0ms	(.f64 (fabs.f64 x) (/.f64 (+.f64 (.f64 1/21 (pow.f64 x 6)) (+.f64 2 (+.f64 (.f64 2/3 (.f64 x x)) (*.f64 1/5 (pow.f64 x 4))))) (sqrt.f64 PI.f64)))
11.0ms	(*.f64 1/5 (pow.f64 x 4))
10.0ms	(.f64 2/3 (.f64 x x))
0.0ms	(sqrt.f64 PI.f64)

Compiler

Compiled 1020 to 814 computations (20.2% saved)

simplify125.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

753×	`times-frac_binary64`
570×	`distribute-lft-in_binary64`
566×	`distribute-rgt-in_binary64`
215×	`associate-*r/_binary64`
209×	`associate-l_binary64`
195×	`associate-/l*_binary64`
193×	`associate-*l/_binary64`
191×	`associate-r_binary64`
106×	`*-commutative_binary64`
81×	`log-prod_binary64`
76×	`unswap-sqr_binary64`
73×	`associate-/l/_binary64`
69×	`exp-prod_binary64`
63×	`cube-prod_binary64`
54×	`associate-/r*_binary64`
51×	`associate-/r/_binary64`
37×	`sqr-pow_binary64`
33×	`+-commutative_binary64`
32×	`distribute-rgt-out_binary64`
26×	`*-rgt-identity_binary64` `swap-sqr_binary64`
25×	`distribute-lft-out_binary64`
23×	`*-lft-identity_binary64`
20×	`associate-+r+_binary64`
17×	`unpow3_binary64` `associate-+l+_binary64`
14×	`cube-unmult_binary64`
12×	`log-div_binary64` `pow-plus_binary64` `cube-mult_binary64`
10×	`log-pow_binary64` `cube-div_binary64`
8×	`rem-sqrt-square_binary64`
7×	`pow-sqr_binary64`
6×	`/-rgt-identity_binary64`
5×	`sub-neg_binary64`
4×	`unpow1/2_binary64`
3×	`unpow2_binary64` `unpow1_binary64`
2×	`log-rec_binary64` `rem-square-sqrt_binary64` `count-2_binary64`
1×	`unpow1/3_binary64` `1-exp_binary64` `exp-1-e_binary64` `sqr-abs_binary64` `neg-mul-1_binary64` `neg-sub0_binary64` `associate-+l-_binary64` `associate-+r-_binary64`
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` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `pow-base-0_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-neg_binary64` `div-sub_binary64` `unsub-neg_binary64` `mul-1-neg_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `cancel-sign-sub-inv_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64`

Counts

117 → 59

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	194	3302
1	429	2953
2	1450	2813
3	4711	2794
4	5630	2794

prune69.0ms (1.2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	54	5	59
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	56	5	61

Error

0.0b

Counts

61 → 5

Compiler

Compiled 1275 to 885 computations (30.6% saved)

localize21.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 2/3 (.f64 x x))
1.0b	(sqrt.f64 PI.f64)
1.6b	(exp.f64 (log.f64 (*.f64 1/5 (pow.f64 x 4))))
45.0b	(log.f64 (*.f64 1/5 (pow.f64 x 4)))

rewrite119.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

15×	`add-exp-log_binary64`
12×	`pow1_binary64`
9×	`add-cbrt-cube_binary64` `add-sqr-sqrt_binary64`
7×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
6×	`prod-exp_binary64`
4×	`rem-log-exp_binary64` `add-log-exp_binary64` `exp-prod_binary64`
3×	`sqrt-prod_binary64` `pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-l_binary64`
2×	`log-pow_binary64` `log-prod_binary64`
1×	`pow-to-exp_binary64` `pow-exp_binary64` `exp-sum_binary64` `rem-exp-log_binary64` `pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `unswap-sqr_binary64` `associate-r_binary64` `*-commutative_binary64`

Counts

4 → 58

Calls

4 calls:

6.0ms	(.f64 2/3 (.f64 x x))
5.0ms	(exp.f64 (log.f64 (*.f64 1/5 (pow.f64 x 4))))
4.0ms	(log.f64 (*.f64 1/5 (pow.f64 x 4)))
1.0ms	(sqrt.f64 PI.f64)

Compiler

Compiled 1640 to 1151 computations (29.8% saved)

series58.0ms (1%)

Error

0.0b

Counts

4 → 9

Calls

4 calls:

20.0ms	(exp.f64 (log.f64 (*.f64 1/5 (pow.f64 x 4))))
18.0ms	(log.f64 (*.f64 1/5 (pow.f64 x 4)))
11.0ms	(.f64 2/3 (.f64 x x))
0.0ms	(sqrt.f64 PI.f64)

Compiler

Compiled 651 to 556 computations (14.6% saved)

simplify97.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

501×	`exp-sum_binary64`
290×	`*-commutative_binary64`
278×	`associate-+r+_binary64`
261×	`associate-+l+_binary64`
257×	`distribute-rgt-in_binary64`
253×	`associate-l_binary64`
252×	`log-prod_binary64`
250×	`distribute-lft-in_binary64`
212×	`exp-diff_binary64`
197×	`associate-r_binary64`
147×	`exp-prod_binary64`
96×	`log-div_binary64`
90×	`unswap-sqr_binary64`
80×	`associate-+r-_binary64`
79×	`associate--r+_binary64`
77×	`sqr-pow_binary64`
66×	`times-frac_binary64`
65×	`log-pow_binary64`
57×	`associate-+l-_binary64`
52×	`associate-*l/_binary64`
50×	`prod-exp_binary64`
48×	`cube-prod_binary64` `associate-/l*_binary64`
47×	`associate-*r/_binary64`
39×	`swap-sqr_binary64`
30×	`+-commutative_binary64`
29×	`exp-to-pow_binary64` `associate-/r*_binary64` `associate--l+_binary64`
28×	`unsub-neg_binary64`
25×	`sub-neg_binary64` `cancel-sign-sub-inv_binary64`
23×	`distribute-neg-in_binary64`
19×	`unpow3_binary64`
16×	`distribute-rgt-neg-out_binary64` `associate--r-_binary64`
15×	`log-rec_binary64` `pow-sqr_binary64` `distribute-lft-neg-out_binary64`
13×	`distribute-lft-neg-in_binary64`
12×	`distribute-rgt-neg-in_binary64` `distribute-rgt-out_binary64`
11×	`pow-plus_binary64` `neg-mul-1_binary64` `neg-sub0_binary64`
10×	`div-exp_binary64`
9×	`count-2_binary64`
8×	`rem-exp-log_binary64` `cube-unmult_binary64` `div-sub_binary64`
7×	`exp-neg_binary64`
6×	`associate-/l/_binary64` `associate--l-_binary64`
5×	`cube-mult_binary64` `distribute-lft-out_binary64` `associate-/r/_binary64`
4×	`unpow2_binary64` `rec-exp_binary64` `distribute-rgt-out--_binary64`
3×	`unpow1_binary64` `cube-div_binary64` `rem-sqrt-square_binary64` `+-rgt-identity_binary64`
2×	`unpow1/3_binary64` `rem-log-exp_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64`
1×	`log-E_binary64` `unpow1/2_binary64` `1-exp_binary64` `exp-1-e_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `cancel-sign-sub_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64`
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` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `pow-base-0_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `e-exp-1_binary64` `exp-0_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `distribute-neg-frac_binary64`

Counts

67 → 33

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	94	599
1	165	546
2	372	537
3	1123	537
4	3808	537
5	4830	537
6	5049	537

prune41.0ms (0.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	33	0	33
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	33	5	38

Error

0.0b

Counts

38 → 5

Compiler

Compiled 734 to 536 computations (27% saved)

localize20.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 (fabs.f64 x) (sqrt.f64 (sqrt.f64 PI.f64)))
0.3b	(.f64 (/.f64 (fabs.f64 x) (sqrt.f64 (sqrt.f64 PI.f64))) (/.f64 (+.f64 (.f64 1/21 (pow.f64 x 6)) (+.f64 2 (+.f64 (.f64 2/3 (.f64 x x)) (*.f64 1/5 (pow.f64 x 4))))) (sqrt.f64 (sqrt.f64 PI.f64))))
1.0b	(sqrt.f64 PI.f64)
1.0b	(sqrt.f64 PI.f64)

rewrite301.0ms (5.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

124×	`add-sqr-sqrt_binary64`
120×	`sqrt-prod_binary64`
105×	`times-frac_binary64`
66×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
31×	`associate-l_binary64` `associate-r_binary64`
18×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
16×	`unswap-sqr_binary64`
9×	`associate-/r*_binary64`
8×	`pow1_binary64`
5×	`div-exp_binary64` `cbrt-undiv_binary64`
4×	`add-log-exp_binary64` `prod-exp_binary64` `cbrt-unprod_binary64`
3×	`div-inv_binary64` `associate-/l*_binary64`
2×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64`
1×	`pow-prod-down_binary64` `frac-times_binary64` `associate-l/_binary64` `associate-r/_binary64` `*-commutative_binary64` `frac-2neg_binary64` `clear-num_binary64`

Counts

4 → 175

Calls

4 calls:

39.0ms	(.f64 (/.f64 (fabs.f64 x) (sqrt.f64 (sqrt.f64 PI.f64))) (/.f64 (+.f64 (.f64 1/21 (pow.f64 x 6)) (+.f64 2 (+.f64 (.f64 2/3 (.f64 x x)) (*.f64 1/5 (pow.f64 x 4))))) (sqrt.f64 (sqrt.f64 PI.f64))))
5.0ms	(/.f64 (fabs.f64 x) (sqrt.f64 (sqrt.f64 PI.f64)))
1.0ms	(sqrt.f64 PI.f64)
1.0ms	(sqrt.f64 PI.f64)

Compiler

Compiled 6292 to 3408 computations (45.8% saved)

series76.0ms (1.3%)

Error

Counts

4 → 15

Calls

4 calls:

39.0ms	(.f64 (/.f64 (fabs.f64 x) (sqrt.f64 (sqrt.f64 PI.f64))) (/.f64 (+.f64 (.f64 1/21 (pow.f64 x 6)) (+.f64 2 (+.f64 (.f64 2/3 (.f64 x x)) (*.f64 1/5 (pow.f64 x 4))))) (sqrt.f64 (sqrt.f64 PI.f64))))
26.0ms	(/.f64 (fabs.f64 x) (sqrt.f64 (sqrt.f64 PI.f64)))
0.0ms	(sqrt.f64 PI.f64)
0.0ms	(sqrt.f64 PI.f64)

Compiler

Compiled 887 to 699 computations (21.2% saved)

simplify474.0ms (8%)

Algorithm

1×	egg-herbie

Rules

737×	`associate-/l*_binary64`
465×	`*-commutative_binary64`
406×	`associate-/l/_binary64`
273×	`times-frac_binary64`
175×	`associate-/r/_binary64`
174×	`associate-/r*_binary64`
168×	`associate-*l/_binary64`
151×	`associate-*r/_binary64`
133×	`associate-l_binary64`
125×	`sqr-pow_binary64`
119×	`associate-r_binary64`
102×	`sub-neg_binary64`
97×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64`
93×	`associate-+l+_binary64`
82×	`associate-+r+_binary64`
80×	`+-commutative_binary64`
79×	`unswap-sqr_binary64`
78×	`cube-div_binary64`
76×	`log-div_binary64` `distribute-lft-out_binary64`
65×	`exp-sum_binary64` `distribute-rgt-out_binary64`
63×	`exp-prod_binary64`
62×	`*-rgt-identity_binary64`
59×	`/-rgt-identity_binary64`
44×	`cube-prod_binary64` `associate--l+_binary64`
43×	`log-prod_binary64`
40×	`*-lft-identity_binary64`
37×	`swap-sqr_binary64`
33×	`associate--r+_binary64`
32×	`associate--l-_binary64`
30×	`unsub-neg_binary64`
25×	`neg-mul-1_binary64` `neg-sub0_binary64`
24×	`unpow3_binary64` `pow-sqr_binary64`
22×	`associate--r-_binary64`
21×	`cube-mult_binary64`
19×	`distribute-neg-in_binary64`
15×	`log-rec_binary64`
14×	`associate-+l-_binary64`
13×	`remove-double-div_binary64`
12×	`cube-unmult_binary64` `cancel-sign-sub-inv_binary64` `associate-+r-_binary64`
8×	`rem-sqrt-square_binary64`
7×	`pow-plus_binary64`
6×	`--rgt-identity_binary64`
4×	`unpow1/2_binary64` `remove-double-neg_binary64` `distribute-lft-neg-in_binary64`
3×	`unpow2_binary64` `rem-square-sqrt_binary64` `+-rgt-identity_binary64` `distribute-rgt-neg-in_binary64` `count-2_binary64`
2×	`distribute-neg-frac_binary64`
1×	`unpow1_binary64` `1-exp_binary64` `exp-1-e_binary64` `sqr-abs_binary64` `+-inverses_binary64` `distribute-neg-out_binary64`
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` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-neg_binary64` `div-sub_binary64` `mul-1-neg_binary64` `sub0-neg_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64`

Counts

190 → 135

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	208	8357
1	553	7508
2	1964	7325
3	4160	7063
4	4614	6973
5	4957	6973

prune122.0ms (2.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	133	2	135
Fresh	1	2	3
Picked	0	1	1
Done	1	0	1
Total	135	5	140

Error

Counts

140 → 5

Compiler

Compiled 3354 to 1950 computations (41.9% saved)

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 1/21 (pow.f64 x 6))
0.1b	(*.f64 1/5 (pow.f64 x 4))
0.1b	(.f64 (sqrt.f64 (/.f64 1 PI.f64)) (.f64 (fabs.f64 x) (+.f64 (.f64 1/21 (pow.f64 x 6)) (+.f64 2 (+.f64 (.f64 2/3 (.f64 x x)) (.f64 1/5 (pow.f64 x 4)))))))
0.2b	(.f64 2/3 (.f64 x x))

rewrite249.0ms (4.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

30×	`add-sqr-sqrt_binary64`
25×	`associate-l_binary64`
24×	`add-exp-log_binary64`
19×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
18×	`add-cbrt-cube_binary64`
16×	`associate-r_binary64`
14×	`pow1_binary64`
13×	`sqrt-prod_binary64`
12×	`prod-exp_binary64`
9×	`times-frac_binary64`
8×	`cbrt-unprod_binary64` `unpow-prod-down_binary64`
7×	`unswap-sqr_binary64`
6×	`pow-prod-down_binary64` `associate-*r/_binary64`
4×	`add-log-exp_binary64` `*-commutative_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `sqr-pow_binary64`
3×	`sqrt-div_binary64`
2×	`flip3-+_binary64` `frac-times_binary64` `flip-+_binary64` `pow-to-exp_binary64` `pow-exp_binary64`
1×	`associate-*l/_binary64` `div-inv_binary64`

Counts

4 → 109

Calls

4 calls:

21.0ms	(.f64 (sqrt.f64 (/.f64 1 PI.f64)) (.f64 (fabs.f64 x) (+.f64 (.f64 1/21 (pow.f64 x 6)) (+.f64 2 (+.f64 (.f64 2/3 (.f64 x x)) (.f64 1/5 (pow.f64 x 4)))))))
6.0ms	(.f64 2/3 (.f64 x x))
5.0ms	(*.f64 1/5 (pow.f64 x 4))
5.0ms	(*.f64 1/21 (pow.f64 x 6))

Compiler

Compiled 3752 to 2740 computations (27% saved)

series89.0ms (1.5%)

Error

Counts

4 → 21

Calls

4 calls:

43.0ms	(.f64 (sqrt.f64 (/.f64 1 PI.f64)) (.f64 (fabs.f64 x) (+.f64 (.f64 1/21 (pow.f64 x 6)) (+.f64 2 (+.f64 (.f64 2/3 (.f64 x x)) (.f64 1/5 (pow.f64 x 4)))))))
12.0ms	(*.f64 1/21 (pow.f64 x 6))
12.0ms	(*.f64 1/5 (pow.f64 x 4))
10.0ms	(.f64 2/3 (.f64 x x))

Compiler

Compiled 1216 to 987 computations (18.8% saved)

simplify172.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

341×	`associate-l_binary64`
338×	`associate-r_binary64`
264×	`exp-prod_binary64`
232×	`log-prod_binary64`
200×	`associate-+r+_binary64`
194×	`associate-+l+_binary64`
178×	`+-commutative_binary64`
171×	`*-commutative_binary64`
164×	`cube-prod_binary64`
146×	`distribute-rgt-in_binary64`
140×	`unswap-sqr_binary64`
139×	`distribute-lft-in_binary64`
137×	`cancel-sign-sub-inv_binary64`
130×	`exp-sum_binary64`
63×	`associate--r+_binary64`
55×	`sqr-pow_binary64` `distribute-rgt-out_binary64`
53×	`distribute-rgt-neg-in_binary64`
51×	`distribute-lft-neg-in_binary64`
49×	`swap-sqr_binary64`
46×	`distribute-neg-in_binary64`
42×	`associate--l+_binary64`
40×	`associate-/l*_binary64`
37×	`log-pow_binary64` `unpow3_binary64`
31×	`cube-mult_binary64`
30×	`sub-neg_binary64`
28×	`associate-*l/_binary64`
25×	`distribute-lft-out_binary64`
21×	`*-lft-identity_binary64`
18×	`*-rgt-identity_binary64`
17×	`cube-unmult_binary64`
16×	`pow-plus_binary64`
15×	`distribute-lft-neg-out_binary64`
13×	`neg-mul-1_binary64` `neg-sub0_binary64` `distribute-rgt-neg-out_binary64`
11×	`pow-sqr_binary64`
10×	`distribute-rgt-out--_binary64` `associate-*r/_binary64`
7×	`rem-sqrt-square_binary64` `associate-+l-_binary64` `associate-+r-_binary64`
5×	`unsub-neg_binary64`
4×	`distribute-lft-out--_binary64`
3×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `count-2_binary64`
2×	`rem-square-sqrt_binary64` `associate--l-_binary64`
1×	`unpow1/3_binary64` `exp-lft-sqr_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `difference-of-squares_binary64`
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` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-rec_binary64` `log-div_binary64` `pow-base-0_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `sqr-neg_binary64` `times-frac_binary64` `div-sub_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/r_binary64` `associate--r-_binary64`

Counts

130 → 82

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	240	3908
1	559	3059
2	2251	2961
3	4244	2939
4	4928	2939
5	4929	2939

prune100.0ms (1.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	82	5	87

Error

Counts

87 → 5

Compiler

Compiled 1839 to 1328 computations (27.8% saved)

regimes1.8s (29.9%)

Accuracy

Total 0.1b remaining (92.8%)

Threshold costs 0.1b (92.8%)

Compiler

Compiled 32453 to 25117 computations (22.6% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

11×	`*-commutative_binary64`
3×	`+-commutative_binary64`
1×	`1-exp_binary64`
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` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `unpow1_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `neg-mul-1_binary64` `neg-sub0_binary64` `unsub-neg_binary64` `sub-neg_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `cancel-sign-sub-inv_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	86
1	47	86
2	46	86

end2.0ms (0%)

Compiler: Compiled 52 to 40 computations (23.1% saved)

sample1.4s (23.2%)

Algorithm

1×

intervals

Results

762.0ms	8000×	body	128	valid
94.0ms	8001×	pre	128	true
0.0ms	1×	body	128	invalid

Compiler

Compiled 305 to 222 computations (27.2% saved)

Details

analyze149.0ms (2.5%)

sample37.0ms (0.6%)

simplify127.0ms (2.1%)

prune4.0ms (0.1%)

localize21.0ms (0.3%)

rewrite209.0ms (3.5%)

series82.0ms (1.4%)

simplify125.0ms (2.1%)

prune69.0ms (1.2%)

localize21.0ms (0.3%)

rewrite119.0ms (2%)

series58.0ms (1%)

simplify97.0ms (1.6%)

prune41.0ms (0.7%)

localize20.0ms (0.3%)

rewrite301.0ms (5.1%)

series76.0ms (1.3%)

simplify474.0ms (8%)

prune122.0ms (2.1%)

localize18.0ms (0.3%)

rewrite249.0ms (4.2%)

series89.0ms (1.5%)

simplify172.0ms (2.9%)

prune100.0ms (1.7%)

regimes1.8s (29.9%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end2.0ms (0%)

sample1.4s (23.2%)

Profiling