Details

analyze142.0ms (2.2%)

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)

sample36.0ms (0.6%)

Algorithm

1×

intervals

Results

23.0ms	256×	body	128	valid
3.0ms	256×	pre	128	true

Compiler

Compiled 137 to 65 computations (52.6% saved)

simplify127.0ms (2%)

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

rewrite219.0ms (3.4%)

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` `pow-to-exp_binary64` `pow-exp_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `associate-*r/_binary64` `div-inv_binary64`

Counts

4 → 99

Calls

4 calls:

19.0ms	(.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))
6.0ms	(.f64 2/3 (.f64 x x))
1.0ms	(sqrt.f64 PI.f64)

Compiler

Compiled 3378 to 2265 computations (32.9% saved)

series76.0ms (1.2%)

Error

0.1b

Counts

4 → 18

Calls

4 calls:

39.0ms	(.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)))
10.0ms	(*.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)

simplify121.0ms (1.9%)

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

prune67.0ms (1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	55	4	59
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	56	5	61

Error

Counts

61 → 5

Compiler

Compiled 1296 to 884 computations (31.8% saved)

localize26.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x))
0.1b	(.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x))
0.1b	(.f64 (/.f64 2 3) (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))
1.0b	(sqrt.f64 PI.f64)

rewrite215.0ms (3.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

52×	`pow1_binary64`
41×	`add-cbrt-cube_binary64`
35×	`add-exp-log_binary64`
18×	`prod-exp_binary64` `cbrt-unprod_binary64`
17×	`add-sqr-sqrt_binary64`
15×	`associate-l_binary64`
14×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
12×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-plus_binary64`
9×	`times-frac_binary64`
7×	`associate-r_binary64`
4×	`add-log-exp_binary64` `pow2_binary64` `pow-sqr_binary64`
3×	`sqrt-prod_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `*-commutative_binary64`
2×	`pow3_binary64` `rem-3cbrt-lft_binary64` `unswap-sqr_binary64`
1×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `associate-*l/_binary64` `div-inv_binary64`

Counts

4 → 109

Calls

4 calls:

12.0ms	(.f64 (/.f64 2 3) (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))
6.0ms	(.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x))
6.0ms	(.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x))
1.0ms	(sqrt.f64 PI.f64)

Compiler

Compiled 6117 to 2145 computations (64.9% saved)

series44.0ms (0.7%)

Error

Counts

4 → 9

Calls

4 calls:

14.0ms	(.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x))
14.0ms	(.f64 (/.f64 2 3) (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))
12.0ms	(.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x))
0.0ms	(sqrt.f64 PI.f64)

Compiler

Compiled 1309 to 689 computations (47.4% saved)

simplify99.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

540×	`associate-/l*_binary64`
372×	`associate-/r/_binary64`
370×	`*-commutative_binary64`
369×	`unswap-sqr_binary64`
227×	`associate-/l/_binary64`
218×	`associate-+l+_binary64`
174×	`distribute-rgt-in_binary64`
161×	`associate-r_binary64`
141×	`associate-+r+_binary64`
139×	`sqr-pow_binary64`
130×	`distribute-lft-in_binary64`
121×	`sub-neg_binary64`
119×	`associate-l_binary64`
115×	`cancel-sign-sub-inv_binary64`
114×	`associate-/r*_binary64`
98×	`distribute-neg-in_binary64`
85×	`associate-*r/_binary64`
70×	`associate-*l/_binary64`
66×	`exp-prod_binary64`
62×	`log-prod_binary64` `times-frac_binary64`
58×	`+-commutative_binary64`
57×	`unsub-neg_binary64`
49×	`cube-prod_binary64`
45×	`pow-sqr_binary64`
41×	`associate-+l-_binary64`
35×	`associate--r+_binary64`
33×	`associate-+r-_binary64`
29×	`rem-sqrt-square_binary64`
25×	`distribute-rgt-neg-in_binary64`
23×	`swap-sqr_binary64`
21×	`log-div_binary64` `*-rgt-identity_binary64`
20×	`cube-div_binary64`
19×	`neg-mul-1_binary64`
18×	`pow-plus_binary64` `neg-sub0_binary64` `associate--r-_binary64`
17×	`sub0-neg_binary64` `distribute-lft-neg-in_binary64`
14×	`/-rgt-identity_binary64`
12×	`+-rgt-identity_binary64`
10×	`associate--l+_binary64`
9×	`cube-unmult_binary64`
8×	`*-lft-identity_binary64` `count-2_binary64` `associate--l-_binary64`
7×	`unpow3_binary64`
6×	`unpow1/2_binary64` `cube-mult_binary64`
5×	`log-pow_binary64` `unpow1/3_binary64` `distribute-lft-neg-out_binary64` `distribute-lft-out_binary64`
4×	`unpow2_binary64` `remove-double-neg_binary64`
3×	`distribute-rgt-out_binary64`
2×	`unpow1_binary64` `exp-lft-sqr_binary64` `exp-sqrt_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64`
1×	`log-rec_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-cbrt-cube_binary64` `sqr-abs_binary64` `rem-square-sqrt_binary64` `--rgt-identity_binary64` `distribute-neg-out_binary64` `distribute-rgt-neg-out_binary64` `distribute-rgt-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` `pow-base-0_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-cbrt_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-cube-cbrt_binary64` `sqr-neg_binary64` `div-sub_binary64` `mul-1-neg_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_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-lft-out--_binary64`

Counts

118 → 85

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	115	1209
1	220	924
2	752	924
3	1429	885
4	2771	885
5	4732	885
6	4907	885

prune99.0ms (1.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	85	5	90

Error

Counts

90 → 5

Compiler

Compiled 3243 to 1352 computations (58.3% saved)

localize22.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 2/3 (.f64 x x))
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)

rewrite450.0ms (7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

104×	`add-sqr-sqrt_binary64`
84×	`sqrt-prod_binary64`
78×	`times-frac_binary64`
45×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
34×	`associate-l_binary64`
32×	`associate-r_binary64`
21×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
17×	`unswap-sqr_binary64`
13×	`pow1_binary64`
7×	`prod-exp_binary64` `cbrt-unprod_binary64`
4×	`add-log-exp_binary64` `pow-prod-down_binary64` `div-exp_binary64` `cbrt-undiv_binary64`
2×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `div-inv_binary64` `*-commutative_binary64`
1×	`frac-times_binary64` `associate-l/_binary64` `associate-r/_binary64`

Counts

4 → 143

Calls

4 calls:

38.0ms	(.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))))
6.0ms	(.f64 2/3 (.f64 x x))
1.0ms	(sqrt.f64 PI.f64)
1.0ms	(sqrt.f64 PI.f64)

Compiler

Compiled 5199 to 2930 computations (43.6% saved)

series62.0ms (1%)

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))))
10.0ms	(.f64 2/3 (.f64 x x))
0.0ms	(sqrt.f64 PI.f64)
0.0ms	(sqrt.f64 PI.f64)

Compiler

Compiled 873 to 678 computations (22.3% saved)

simplify280.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

642×	`associate-/l*_binary64`
303×	`associate-/l/_binary64`
234×	`times-frac_binary64`
210×	`unswap-sqr_binary64`
178×	`associate-l_binary64`
161×	`associate-r_binary64`
160×	`associate-/r/_binary64`
152×	`*-commutative_binary64`
149×	`associate-*r/_binary64`
143×	`associate-/r*_binary64`
140×	`distribute-lft-out_binary64`
137×	`associate-*l/_binary64`
114×	`+-commutative_binary64`
97×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64`
95×	`associate-+l+_binary64`
84×	`associate-+r+_binary64`
77×	`exp-prod_binary64`
76×	`sqr-pow_binary64`
66×	`distribute-rgt-out_binary64`
59×	`log-div_binary64`
58×	`exp-sum_binary64`
54×	`/-rgt-identity_binary64`
51×	`log-prod_binary64`
50×	`swap-sqr_binary64`
37×	`*-rgt-identity_binary64`
36×	`cube-div_binary64`
31×	`cube-prod_binary64` `*-lft-identity_binary64`
30×	`sub-neg_binary64`
24×	`unpow3_binary64`
19×	`distribute-neg-in_binary64`
14×	`pow-sqr_binary64`
12×	`log-rec_binary64`
11×	`pow-plus_binary64`
10×	`cube-unmult_binary64` `associate-+l-_binary64` `associate-+r-_binary64`
9×	`cube-mult_binary64` `neg-mul-1_binary64` `neg-sub0_binary64`
7×	`associate--r+_binary64`
5×	`rem-sqrt-square_binary64` `unsub-neg_binary64` `remove-double-div_binary64`
4×	`log-pow_binary64` `unpow1/2_binary64` `cancel-sign-sub-inv_binary64`
3×	`unpow2_binary64` `rem-square-sqrt_binary64` `+-rgt-identity_binary64` `count-2_binary64` `associate--r-_binary64`
2×	`unpow1/3_binary64` `remove-double-neg_binary64` `associate--l+_binary64`
1×	`unpow1_binary64` `1-exp_binary64` `exp-1-e_binary64` `sqr-abs_binary64` `--rgt-identity_binary64` `distribute-neg-out_binary64` `distribute-lft-neg-in_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` `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` `+-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-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-neg-in_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `associate--l-_binary64`

Counts

158 → 111

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	214	7437
1	564	6616
2	2002	6424
3	4189	6154
4	4875	6154
5	4999	6154
6	4950	6154

prune110.0ms (1.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	111	0	111
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	111	5	116

Error

Counts

116 → 5

Compiler

Compiled 2746 to 1632 computations (40.6% saved)

localize28.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 2/3 (.f64 x x))
0.3b	(.f64 (.f64 (fabs.f64 x) (/.f64 (sqrt.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)))))) (fabs.f64 (cbrt.f64 PI.f64)))) (/.f64 (sqrt.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 (cbrt.f64 PI.f64))))
1.0b	(cbrt.f64 PI.f64)
1.0b	(cbrt.f64 PI.f64)

rewrite303.0ms (4.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

63×	`sqrt-prod_binary64`
59×	`associate-r_binary64`
54×	`times-frac_binary64`
45×	`add-sqr-sqrt_binary64`
44×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
30×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
24×	`cbrt-prod_binary64`
14×	`pow1_binary64`
13×	`prod-exp_binary64` `cbrt-unprod_binary64`
6×	`pow-prod-down_binary64`
5×	`div-exp_binary64` `cbrt-undiv_binary64`
4×	`add-log-exp_binary64` `associate-l_binary64`
3×	`associate-*r/_binary64`
2×	`pow1/3_binary64` `*-commutative_binary64`
1×	`frac-times_binary64` `associate-*l/_binary64` `div-inv_binary64` `unswap-sqr_binary64`

Counts

4 → 125

Calls

4 calls:

38.0ms	(.f64 (.f64 (fabs.f64 x) (/.f64 (sqrt.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)))))) (fabs.f64 (cbrt.f64 PI.f64)))) (/.f64 (sqrt.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 (cbrt.f64 PI.f64))))
6.0ms	(.f64 2/3 (.f64 x x))
1.0ms	(cbrt.f64 PI.f64)
1.0ms	(cbrt.f64 PI.f64)

Compiler

Compiled 8025 to 5336 computations (33.5% saved)

series94.0ms (1.5%)

Error

Counts

4 → 15

Calls

4 calls:

65.0ms	(.f64 (.f64 (fabs.f64 x) (/.f64 (sqrt.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)))))) (fabs.f64 (cbrt.f64 PI.f64)))) (/.f64 (sqrt.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 (cbrt.f64 PI.f64))))
14.0ms	(.f64 2/3 (.f64 x x))
0.0ms	(cbrt.f64 PI.f64)
0.0ms	(cbrt.f64 PI.f64)

Compiler

Compiled 1251 to 1004 computations (19.7% saved)

simplify229.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

648×	`times-frac_binary64`
426×	`associate-/l/_binary64`
339×	`associate-l_binary64`
276×	`associate-r_binary64`
198×	`associate-*r/_binary64`
183×	`*-commutative_binary64`
160×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64`
148×	`associate-/l*_binary64`
143×	`associate-*l/_binary64`
127×	`log-prod_binary64`
92×	`unswap-sqr_binary64`
43×	`*-rgt-identity_binary64`
40×	`sqr-pow_binary64`
39×	`log-div_binary64`
37×	`*-lft-identity_binary64`
35×	`distribute-lft-out_binary64`
33×	`exp-prod_binary64`
31×	`+-commutative_binary64`
30×	`associate-/r*_binary64`
29×	`distribute-rgt-out_binary64`
24×	`associate-+l+_binary64`
21×	`swap-sqr_binary64`
20×	`associate-+r+_binary64`
19×	`cube-prod_binary64`
16×	`sub-neg_binary64`
12×	`cube-unmult_binary64` `associate-/r/_binary64`
11×	`log-pow_binary64` `cube-div_binary64` `rem-sqrt-square_binary64`
10×	`/-rgt-identity_binary64`
6×	`associate-+r-_binary64`
5×	`pow-sqr_binary64` `associate-+l-_binary64`
4×	`count-2_binary64`
3×	`pow-plus_binary64`
2×	`sqr-abs_binary64` `rem-square-sqrt_binary64` `neg-mul-1_binary64` `neg-sub0_binary64`
1×	`unpow1/3_binary64` `unpow3_binary64` `unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_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` `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-mult_binary64` `cube-neg_binary64` `rem-3cbrt-rft_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

140 → 92

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	225	9210
1	581	7020
2	2388	6951
3	4905	6951
4	4979	6951

prune91.0ms (1.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	91	1	92
Fresh	1	1	2
Picked	0	1	1
Done	0	2	2
Total	92	5	97

Error

Counts

97 → 5

Compiler

Compiled 2661 to 1738 computations (34.7% saved)

regimes2.0s (31.9%)

Accuracy

Total 0.1b remaining (93%)

Threshold costs 0.1b (93%)

Compiler

Compiled 42979 to 29919 computations (30.4% 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 (21.6%)

Algorithm

1×

intervals

Results

749.0ms	8000×	body	128	valid
91.0ms	8001×	pre	128	true
0.0ms	1×	body	128	invalid

Compiler

Compiled 357 to 236 computations (33.9% saved)

Details

analyze142.0ms (2.2%)

sample36.0ms (0.6%)

simplify127.0ms (2%)

prune4.0ms (0.1%)

localize21.0ms (0.3%)

rewrite219.0ms (3.4%)

series76.0ms (1.2%)

simplify121.0ms (1.9%)

prune67.0ms (1%)

localize26.0ms (0.4%)

rewrite215.0ms (3.4%)

series44.0ms (0.7%)

simplify99.0ms (1.6%)

prune99.0ms (1.5%)

localize22.0ms (0.3%)

rewrite450.0ms (7%)

series62.0ms (1%)

simplify280.0ms (4.4%)

prune110.0ms (1.7%)

localize28.0ms (0.4%)

rewrite303.0ms (4.7%)

series94.0ms (1.5%)

simplify229.0ms (3.6%)

prune91.0ms (1.4%)

regimes2.0s (31.9%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end2.0ms (0%)

sample1.4s (21.6%)

Profiling