Details

analyze210.0ms (1.1%)

Algorithm

1×	search
2×	egg-herbie

Rules

1340×	`distribute-lft-in_binary64`
1300×	`distribute-rgt-in_binary64`
904×	`associate-/l*_binary64`
875×	`*-commutative_binary64`
830×	`associate-/r/_binary64`
524×	`associate-/l/_binary64`
358×	`associate-*r/_binary64`
254×	`associate-*l/_binary64`
168×	`distribute-rgt-out_binary64`
138×	`associate-/r*_binary64` `+-commutative_binary64`
135×	`associate-l_binary64`
121×	`associate-r_binary64`
108×	`*-lft-identity_binary64`
100×	`*-rgt-identity_binary64`
23×	`distribute-rgt1-in_binary64`
11×	`/-rgt-identity_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` `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` `unpow3_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_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-unmult_binary64` `cube-mult_binary64` `cube-div_binary64` `cube-prod_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_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` `pow-sqr_binary64` `sqr-pow_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `unswap-sqr_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-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-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` `associate-+l+_binary64` `associate-+r+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	143	656
1	331	656
2	800	656
3	1441	656
4	2133	656
5	2824	656
6	3151	656
7	3660	656
8	3661	656
9	3661	656
10	3859	656
11	4155	656
12	4197	656
13	4158	656
14	4158	656
15	5066	656
0	6	6
1	6	6

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
99.7%	0%	0.3%	1

Compiler

Compiled 28 to 27 computations (3.6% saved)

sample143.0ms (0.8%)

Algorithm

1×

intervals

Results

54.0ms	68×	body	2048	valid
36.0ms	77×	body	1024	valid
19.0ms	17×	body	4096	valid
9.0ms	28×	body	512	valid
6.0ms	55×	body	128	valid
2.0ms	11×	body	256	valid

Compiler

Compiled 55 to 59 computations (-7.3% saved)

simplify41.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

259×	`associate-/l*_binary64`
218×	`*-commutative_binary64`
216×	`distribute-lft-in_binary64`
212×	`distribute-rgt-in_binary64` `associate-/r/_binary64`
148×	`associate-l_binary64`
134×	`associate-r_binary64`
114×	`associate-/r*_binary64`
40×	`associate-*l/_binary64`
37×	`associate-/l/_binary64`
30×	`*-lft-identity_binary64`
28×	`*-rgt-identity_binary64`
23×	`associate-*r/_binary64`
20×	`distribute-rgt-out_binary64`
12×	`+-commutative_binary64`
5×	`/-rgt-identity_binary64`
4×	`distribute-lft-out_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` `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` `unpow3_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_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-unmult_binary64` `cube-mult_binary64` `cube-div_binary64` `cube-prod_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_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` `pow-sqr_binary64` `sqr-pow_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `unswap-sqr_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` `associate-+l+_binary64` `associate-+r+_binary64`

Counts

1 → 1

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	24	41
1	45	41
2	99	41
3	188	41
4	397	41
5	548	41
6	669	35
7	907	35
8	947	35
9	994	35
10	1006	35
11	1006	35
12	990	35

prune5.0ms (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

47.8b

Counts

2 → 2

Compiler

Compiled 73 to 70 computations (4.1% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

2.0b	(.f64 (.f64 t b) (+.f64 1/16 (*.f64 a 1/8)))
3.0b	(.f64 (.f64 z t) (+.f64 1/16 (*.f64 y 1/8)))
36.5b	(cos.f64 (.f64 (.f64 t b) (+.f64 1/16 (*.f64 a 1/8))))
37.7b	(cos.f64 (.f64 (.f64 z t) (+.f64 1/16 (*.f64 y 1/8))))

rewrite207.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

45.7b

Rules

14×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `-un-lft-identity_binary64` `pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `associate-r*_binary64`
4×	`distribute-rgt-in_binary64` `cos-sum_binary64` `distribute-lft-in_binary64` `add-log-exp_binary64` `associate-*r/_binary64`
2×	`flip3-+_binary64` `flip-+_binary64` `associate-l_binary64` `*-commutative_binary64`

Counts

4 → 62

Calls

4 calls:

7.0ms	(.f64 (.f64 z t) (+.f64 1/16 (*.f64 y 1/8)))
7.0ms	(.f64 (.f64 t b) (+.f64 1/16 (*.f64 a 1/8)))
3.0ms	(cos.f64 (.f64 (.f64 z t) (+.f64 1/16 (*.f64 y 1/8))))
3.0ms	(cos.f64 (.f64 (.f64 t b) (+.f64 1/16 (*.f64 a 1/8))))

Compiler

Compiled 1916 to 1229 computations (35.9% saved)

series253.0ms (1.4%)

Error

43.7b

Counts

4 → 50

Calls

4 calls:

59.0ms	(cos.f64 (.f64 (.f64 t b) (+.f64 1/16 (*.f64 a 1/8))))
58.0ms	(cos.f64 (.f64 (.f64 z t) (+.f64 1/16 (*.f64 y 1/8))))
48.0ms	(.f64 (.f64 z t) (+.f64 1/16 (*.f64 y 1/8)))
46.0ms	(.f64 (.f64 t b) (+.f64 1/16 (*.f64 a 1/8)))

Compiler

Compiled 3282 to 2794 computations (14.9% saved)

simplify82.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

756×	`distribute-rgt-in_binary64`
457×	`cancel-sign-sub-inv_binary64`
453×	`associate-l_binary64`
404×	`associate-r_binary64`
279×	`distribute-rgt-neg-in_binary64`
259×	`distribute-lft-neg-in_binary64`
209×	`*-commutative_binary64`
154×	`distribute-rgt-out_binary64`
114×	`distribute-lft-in_binary64`
107×	`unswap-sqr_binary64`
98×	`exp-prod_binary64`
75×	`distribute-lft-out_binary64`
56×	`sqr-pow_binary64`
53×	`sub-neg_binary64`
48×	`+-commutative_binary64`
44×	`neg-mul-1_binary64` `neg-sub0_binary64`
41×	`log-prod_binary64`
32×	`swap-sqr_binary64`
31×	`cube-prod_binary64`
26×	`distribute-neg-in_binary64`
23×	`*-lft-identity_binary64`
21×	`*-rgt-identity_binary64` `distribute-lft-neg-out_binary64`
18×	`associate--r+_binary64`
14×	`exp-sum_binary64`
12×	`unsub-neg_binary64`
9×	`associate-+r+_binary64`
8×	`cube-unmult_binary64` `associate-+l+_binary64`
5×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64`
4×	`unpow3_binary64` `cube-mult_binary64` `distribute-rgt-neg-out_binary64` `distribute-rgt1-in_binary64`
3×	`log-pow_binary64` `pow-plus_binary64` `distribute-lft1-in_binary64`
2×	`pow-sqr_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `associate--l+_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` `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-div_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_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` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `count-2_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/l_binary64` `associate-/r_binary64` `associate-l/_binary64` `associate-*r/_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate-+l-_binary64` `associate-+r-_binary64`

Counts

112 → 92

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	240	2273
1	618	1968
2	2274	1944
3	5176	1944

prune147.0ms (0.8%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	71	21	92
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	72	22	94

Error

45.2b

Counts

94 → 22

Compiler

Compiled 2192 to 1622 computations (26% saved)

localize25.0ms (0.1%)

Local error

Found 4 expressions with local error:

2.0b	(.f64 (.f64 t b) (+.f64 1/16 (*.f64 a 1/8)))
2.8b	(.f64 (.f64 t z) (.f64 (cbrt.f64 (+.f64 (.f64 y 1/8) 1/16)) (cbrt.f64 (+.f64 (*.f64 y 1/8) 1/16))))
36.5b	(cos.f64 (.f64 (.f64 t b) (+.f64 1/16 (*.f64 a 1/8))))
37.9b	(cos.f64 (.f64 (.f64 (.f64 t z) (.f64 (cbrt.f64 (+.f64 (.f64 y 1/8) 1/16)) (cbrt.f64 (+.f64 (.f64 y 1/8) 1/16)))) (cbrt.f64 (+.f64 1/16 (*.f64 y 1/8)))))

rewrite337.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

44.8b

Rules

21×	`pow1_binary64` `add-exp-log_binary64`
17×	`add-cbrt-cube_binary64`
12×	`cbrt-div_binary64` `associate-*r/_binary64`
11×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64`
7×	`flip3-+_binary64` `flip-+_binary64`
5×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
4×	`add-log-exp_binary64` `frac-times_binary64` `associate-r_binary64`
2×	`distribute-rgt-in_binary64` `cos-sum_binary64` `distribute-lft-in_binary64` `associate-l/_binary64` `associate-l_binary64` `-commutative_binary64`

Counts

4 → 68

Calls

4 calls:

17.0ms	(.f64 (.f64 t z) (.f64 (cbrt.f64 (+.f64 (.f64 y 1/8) 1/16)) (cbrt.f64 (+.f64 (*.f64 y 1/8) 1/16))))
8.0ms	(cos.f64 (.f64 (.f64 (.f64 t z) (.f64 (cbrt.f64 (+.f64 (.f64 y 1/8) 1/16)) (cbrt.f64 (+.f64 (.f64 y 1/8) 1/16)))) (cbrt.f64 (+.f64 1/16 (*.f64 y 1/8)))))
6.0ms	(.f64 (.f64 t b) (+.f64 1/16 (*.f64 a 1/8)))
3.0ms	(cos.f64 (.f64 (.f64 t b) (+.f64 1/16 (*.f64 a 1/8))))

Compiler

Compiled 3215 to 2334 computations (27.4% saved)

series431.0ms (2.3%)

Error

43.6b

Counts

4 → 57

Calls

4 calls:

114.0ms	(.f64 (.f64 t z) (.f64 (cbrt.f64 (+.f64 (.f64 y 1/8) 1/16)) (cbrt.f64 (+.f64 (*.f64 y 1/8) 1/16))))
86.0ms	(cos.f64 (.f64 (.f64 (.f64 t z) (.f64 (cbrt.f64 (+.f64 (.f64 y 1/8) 1/16)) (cbrt.f64 (+.f64 (.f64 y 1/8) 1/16)))) (cbrt.f64 (+.f64 1/16 (*.f64 y 1/8)))))
67.0ms	(cos.f64 (.f64 (.f64 t b) (+.f64 1/16 (*.f64 a 1/8))))
56.0ms	(.f64 (.f64 t b) (+.f64 1/16 (*.f64 a 1/8)))

Compiler

Compiled 5872 to 4985 computations (15.1% saved)

simplify115.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

553×	`cancel-sign-sub-inv_binary64`
521×	`associate-l_binary64`
501×	`associate-r_binary64`
415×	`times-frac_binary64`
283×	`*-commutative_binary64`
179×	`unswap-sqr_binary64`
86×	`distribute-rgt-in_binary64`
85×	`distribute-lft-in_binary64`
80×	`sub-neg_binary64`
78×	`sqr-pow_binary64`
75×	`exp-prod_binary64`
68×	`+-commutative_binary64`
66×	`neg-mul-1_binary64` `neg-sub0_binary64`
42×	`log-prod_binary64`
41×	`swap-sqr_binary64`
40×	`associate-/l*_binary64`
28×	`cube-prod_binary64` `associate-/r*_binary64`
27×	`distribute-rgt-neg-in_binary64`
26×	`distribute-lft-neg-in_binary64`
24×	`associate-+l+_binary64`
22×	`exp-sum_binary64` `associate-*r/_binary64`
21×	`unsub-neg_binary64`
20×	`associate--r+_binary64`
18×	`associate--l+_binary64`
16×	`associate-+r+_binary64`
14×	`distribute-neg-in_binary64` `associate-*l/_binary64`
12×	`*-lft-identity_binary64` `distribute-rgt-out_binary64`
11×	`*-rgt-identity_binary64`
9×	`cube-unmult_binary64`
8×	`pow-sqr_binary64`
7×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `distribute-lft-out_binary64` `associate-/r/_binary64`
5×	`unpow1/3_binary64` `remove-double-neg_binary64`
4×	`log-pow_binary64` `unpow3_binary64` `pow-plus_binary64` `cube-mult_binary64` `distribute-rgt-neg-out_binary64`
3×	`exp-diff_binary64` `div-sub_binary64` `distribute-neg-frac_binary64` `distribute-lft-neg-out_binary64`
2×	`log-div_binary64` `cancel-sign-sub_binary64`
1×	`log-rec_binary64` `prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `count-2_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` `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-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `/-rgt-identity_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` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `associate-/l/_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate-+l-_binary64` `associate-+r-_binary64`

Counts

125 → 105

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	329	3859
1	873	3075
2	3066	2982
3	5096	2982

prune263.0ms (1.4%)

Pruning

29 alts after pruning (28 fresh and 1 done)

	Pruned	Kept	Total
New	91	14	105
Fresh	7	14	21
Picked	0	1	1
Done	0	0	0
Total	98	29	127

Error

44.6b

Counts

127 → 29

Compiler

Compiled 3897 to 2965 computations (23.9% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

1.9b	(.f64 (.f64 (.f64 t z) (cbrt.f64 1/256)) (cbrt.f64 (+.f64 1/16 (.f64 y 1/8))))
2.0b	(.f64 (.f64 t b) (+.f64 1/16 (*.f64 a 1/8)))
34.3b	(cos.f64 (.f64 (.f64 (.f64 t z) (cbrt.f64 1/256)) (cbrt.f64 (+.f64 1/16 (.f64 y 1/8)))))
36.5b	(cos.f64 (.f64 (.f64 t b) (+.f64 1/16 (*.f64 a 1/8))))

rewrite319.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

44.0b

Rules

18×	`pow1_binary64` `add-exp-log_binary64`
13×	`add-cbrt-cube_binary64`
9×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `associate-r_binary64`
7×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
4×	`add-log-exp_binary64` `associate-*r/_binary64`
3×	`cbrt-prod_binary64`
2×	`distribute-rgt-in_binary64` `cos-sum_binary64` `distribute-lft-in_binary64` `flip3-+_binary64` `flip-+_binary64` `associate-l_binary64` `*-commutative_binary64` `cbrt-div_binary64`

Counts

4 → 64

Calls

4 calls:

10.0ms	(.f64 (.f64 (.f64 t z) (cbrt.f64 1/256)) (cbrt.f64 (+.f64 1/16 (.f64 y 1/8))))
6.0ms	(.f64 (.f64 t b) (+.f64 1/16 (*.f64 a 1/8)))
4.0ms	(cos.f64 (.f64 (.f64 (.f64 t z) (cbrt.f64 1/256)) (cbrt.f64 (+.f64 1/16 (.f64 y 1/8)))))
3.0ms	(cos.f64 (.f64 (.f64 t b) (+.f64 1/16 (*.f64 a 1/8))))

Compiler

Compiled 2189 to 1513 computations (30.9% saved)

series441.0ms (2.4%)

Error

43.0b

Counts

4 → 51

Calls

4 calls:

136.0ms	(cos.f64 (.f64 (.f64 (.f64 t z) (cbrt.f64 1/256)) (cbrt.f64 (+.f64 1/16 (.f64 y 1/8)))))
97.0ms	(.f64 (.f64 (.f64 t z) (cbrt.f64 1/256)) (cbrt.f64 (+.f64 1/16 (.f64 y 1/8))))
61.0ms	(cos.f64 (.f64 (.f64 t b) (+.f64 1/16 (*.f64 a 1/8))))
50.0ms	(.f64 (.f64 t b) (+.f64 1/16 (*.f64 a 1/8)))

Compiler

Compiled 4786 to 4187 computations (12.5% saved)

simplify140.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

641×	`associate-l_binary64`
602×	`associate-r_binary64`
366×	`times-frac_binary64`
289×	`*-commutative_binary64`
240×	`unswap-sqr_binary64`
213×	`exp-prod_binary64`
161×	`log-prod_binary64`
86×	`sqr-pow_binary64`
72×	`sub-neg_binary64`
69×	`distribute-rgt-in_binary64`
68×	`distribute-lft-in_binary64`
54×	`cube-prod_binary64`
52×	`neg-mul-1_binary64` `neg-sub0_binary64`
51×	`+-commutative_binary64`
40×	`cancel-sign-sub-inv_binary64`
29×	`unpow3_binary64`
27×	`*-rgt-identity_binary64`
26×	`*-lft-identity_binary64`
23×	`distribute-rgt-neg-in_binary64`
22×	`associate-/l*_binary64`
21×	`swap-sqr_binary64` `distribute-lft-neg-in_binary64`
19×	`associate--r+_binary64`
18×	`log-pow_binary64` `exp-sum_binary64`
16×	`associate-/r*_binary64`
15×	`unsub-neg_binary64`
14×	`associate-+l+_binary64`
12×	`distribute-rgt-out_binary64`
11×	`cube-unmult_binary64` `distribute-neg-in_binary64`
10×	`unpow1/2_binary64` `pow-plus_binary64` `associate-*r/_binary64` `associate-+r+_binary64`
9×	`associate--l+_binary64`
8×	`unpow2_binary64` `unpow1_binary64` `pow-sqr_binary64` `associate-*l/_binary64`
6×	`unpow1/3_binary64`
4×	`cube-mult_binary64` `associate-/r/_binary64`
3×	`exp-to-pow_binary64` `distribute-lft-out_binary64`
2×	`log-div_binary64` `exp-diff_binary64` `rem-sqrt-square_binary64` `div-sub_binary64` `distribute-lft-neg-out_binary64` `associate--r-_binary64`
1×	`log-rec_binary64` `prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-rft_binary64` `remove-double-neg_binary64` `distribute-neg-frac_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` `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` `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-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `/-rgt-identity_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_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `count-2_binary64` `associate-/l/_binary64` `associate--l-_binary64` `associate-+l-_binary64` `associate-+r-_binary64`

Counts

115 → 101

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	304	3072
1	808	2750
2	3310	2716
3	4830	2690
4	5050	2690

prune300.0ms (1.6%)

Pruning

47 alts after pruning (46 fresh and 1 done)

	Pruned	Kept	Total
New	77	24	101
Fresh	5	22	27
Picked	1	0	1
Done	0	1	1
Total	83	47	130

Error

43.5b

Counts

130 → 47

Compiler

Compiled 3978 to 3160 computations (20.6% saved)

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (.f64 (cbrt.f64 1/256) (*.f64 t z)) (cbrt.f64 1/16))
2.0b	(.f64 (.f64 t b) (+.f64 1/16 (*.f64 a 1/8)))
30.7b	(cos.f64 (.f64 (.f64 (cbrt.f64 1/256) (*.f64 t z)) (cbrt.f64 1/16)))
36.5b	(cos.f64 (.f64 (.f64 t b) (+.f64 1/16 (*.f64 a 1/8))))

rewrite366.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

43.3b

Rules

18×	`pow1_binary64` `add-exp-log_binary64`
13×	`add-cbrt-cube_binary64`
9×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `associate-r_binary64`
7×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
4×	`add-log-exp_binary64`
3×	`cbrt-prod_binary64`
2×	`distribute-rgt-in_binary64` `cos-sum_binary64` `distribute-lft-in_binary64` `associate-r/_binary64` `associate-l_binary64` `-commutative_binary64`
1×	`flip3-+_binary64` `flip-+_binary64`

Counts

4 → 62

Calls

4 calls:

9.0ms	(.f64 (.f64 (cbrt.f64 1/256) (*.f64 t z)) (cbrt.f64 1/16))
6.0ms	(.f64 (.f64 t b) (+.f64 1/16 (*.f64 a 1/8)))
3.0ms	(cos.f64 (.f64 (.f64 t b) (+.f64 1/16 (*.f64 a 1/8))))
3.0ms	(cos.f64 (.f64 (.f64 (cbrt.f64 1/256) (*.f64 t z)) (cbrt.f64 1/16)))

Compiler

Compiled 1807 to 1227 computations (32.1% saved)

series255.0ms (1.4%)

Error

42.7b

Counts

4 → 39

Calls

4 calls:

63.0ms	(cos.f64 (.f64 (.f64 t b) (+.f64 1/16 (*.f64 a 1/8))))
48.0ms	(.f64 (.f64 t b) (+.f64 1/16 (*.f64 a 1/8)))
39.0ms	(.f64 (.f64 (cbrt.f64 1/256) (*.f64 t z)) (cbrt.f64 1/16))
31.0ms	(cos.f64 (.f64 (.f64 (cbrt.f64 1/256) (*.f64 t z)) (cbrt.f64 1/16)))

Compiler

Compiled 2401 to 2191 computations (8.7% saved)

simplify124.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

414×	`associate-l_binary64`
364×	`associate-r_binary64`
361×	`distribute-rgt-in_binary64`
350×	`distribute-lft-in_binary64`
328×	`cancel-sign-sub-inv_binary64`
224×	`distribute-rgt-neg-in_binary64`
212×	`distribute-lft-neg-in_binary64`
185×	`exp-prod_binary64`
180×	`neg-mul-1_binary64` `*-commutative_binary64`
124×	`log-prod_binary64`
120×	`distribute-rgt-out_binary64`
113×	`unswap-sqr_binary64`
101×	`cube-prod_binary64`
56×	`sqr-pow_binary64`
41×	`unpow3_binary64`
40×	`distribute-lft-out_binary64`
37×	`swap-sqr_binary64`
33×	`sub-neg_binary64` `+-commutative_binary64`
29×	`neg-sub0_binary64`
22×	`-rgt-identity_binary64` `-lft-identity_binary64`
17×	`cube-mult_binary64`
15×	`log-pow_binary64`
14×	`distribute-neg-in_binary64`
12×	`cube-unmult_binary64` `distribute-lft-neg-out_binary64` `associate-+l+_binary64`
11×	`associate--r+_binary64`
10×	`associate-+r+_binary64`
8×	`unpow1/2_binary64` `exp-sum_binary64`
7×	`pow-plus_binary64` `unsub-neg_binary64`
6×	`unpow2_binary64` `unpow1_binary64` `rem-sqrt-square_binary64`
3×	`distribute-rgt1-in_binary64`
2×	`rem-cube-cbrt_binary64` `pow-sqr_binary64` `distribute-rgt-neg-out_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `distribute-lft1-in_binary64` `associate--l+_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` `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-div_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-square-sqrt_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` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `count-2_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `associate-/l_binary64` `associate-/r_binary64` `associate-l/_binary64` `associate-*r/_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate-+l-_binary64` `associate-+r-_binary64`

Counts

101 → 74

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	205	1990
1	504	1721
2	1933	1697
3	4600	1669
4	4972	1669
5	4951	1669

prune231.0ms (1.3%)

Pruning

53 alts after pruning (52 fresh and 1 done)

	Pruned	Kept	Total
New	62	12	74
Fresh	5	40	45
Picked	1	0	1
Done	0	1	1
Total	68	53	121

Error

43.1b

Counts

121 → 53

Compiler

Compiled 1238 to 877 computations (29.2% saved)

regimes8.3s (44.8%)

Accuracy

Total 5.1b remaining (11.1%)

Threshold costs 0b (0%)

Compiler

Compiled 146052 to 131591 computations (9.9% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64`
1×	`1-exp_binary64` `*-rgt-identity_binary64` `+-commutative_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` `*-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	15	18
1	23	18
2	22	18

end1.0ms (0%)

Compiler: Compiled 12 to 14 computations (-16.7% saved)

sample5.7s (30.7%)

Algorithm

1×

intervals

Results

1.7s	2432×	body	2048	valid
932.0ms	1935×	body	1024	valid
374.0ms	326×	body	4096	valid
308.0ms	925×	body	512	valid
218.0ms	1973×	body	128	valid
94.0ms	409×	body	256	valid

Compiler

Compiled 2044 to 1897 computations (7.2% saved)

Details

analyze210.0ms (1.1%)

sample143.0ms (0.8%)

simplify41.0ms (0.2%)

prune5.0ms (0%)

localize18.0ms (0.1%)

rewrite207.0ms (1.1%)

series253.0ms (1.4%)

simplify82.0ms (0.4%)

prune147.0ms (0.8%)

localize25.0ms (0.1%)

rewrite337.0ms (1.8%)

series431.0ms (2.3%)

simplify115.0ms (0.6%)

prune263.0ms (1.4%)

localize21.0ms (0.1%)

rewrite319.0ms (1.7%)

series441.0ms (2.4%)

simplify140.0ms (0.8%)

prune300.0ms (1.6%)

localize22.0ms (0.1%)

rewrite366.0ms (2%)

series255.0ms (1.4%)

simplify124.0ms (0.7%)

prune231.0ms (1.3%)

regimes8.3s (44.8%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end1.0ms (0%)

sample5.7s (30.7%)

Profiling