Details

Time bar (total: 1.2min)

analyze16.8s (23.5%)

Algorithm
search
egg-herbie
Rules
977×times-frac_binary64
173×sub-neg_binary64
165×div-sub_binary64
152×sqr-pow_binary64
138×*-commutative_binary64
118×associate-*l*_binary64
115×associate-/l*_binary64
101×neg-mul-1_binary64 neg-sub0_binary64
99×associate-/r/_binary64
98×associate-*r*_binary64
81×+-commutative_binary64
62×unswap-sqr_binary64
51×unpow2_binary64 unpow1_binary64
50×unpow1/2_binary64
49×associate-*l/_binary64
48×swap-sqr_binary64
44×associate-/l/_binary64
40×distribute-neg-frac_binary64
38×associate-*r/_binary64
19×distribute-rgt-in_binary64 distribute-lft-in_binary64
16×difference-of-squares_binary64
11×unsub-neg_binary64 associate--l-_binary64 associate--l+_binary64 associate-+l-_binary64 associate-+l+_binary64
10×associate-/r*_binary64
cancel-sign-sub-inv_binary64
distribute-rgt-neg-in_binary64 distribute-lft-neg-in_binary64
1-exp_binary64
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 pow-plus_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-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 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 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 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 cancel-sign-sub_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-neg-in_binary64 distribute-rgt-neg-out_binary64 distribute-lft-neg-out_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-rgt-out--_binary64 distribute-rgt-out_binary64 distribute-lft-out--_binary64 distribute-lft-out_binary64 count-2_binary64 associate--r-_binary64 associate--r+_binary64 associate-+r-_binary64 associate-+r+_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03253003
18483003
224793003
350053003
055
155
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
0%99.8%0.2%8
2.3%97.4%0.2%9
3.5%96.2%0.2%10
5.3%94.5%0.2%11
6.1%93.6%0.2%12
9.2%90.6%0.2%13
13.8%85.9%0.2%14
Compiler

Compiled 170 to 127 computations (25.3% saved)

sample1.3s (1.8%)

Algorithm
intervals
Results
460.0ms49×body4096valid
260.0ms42×body2048valid
235.0ms49×body1024valid
135.0msbody8192exit
84.0ms25×body512valid
54.0ms78×body128valid
24.0ms13×body256valid
Compiler

Compiled 339 to 258 computations (23.9% saved)

simplify34.0ms (0%)

Algorithm
egg-herbie
Rules
761×associate-/r/_binary64
637×times-frac_binary64
295×associate-/l/_binary64
243×div-sub_binary64
174×distribute-rgt-in_binary64
168×distribute-lft-in_binary64
116×associate-*r*_binary64
112×associate-*l*_binary64
91×associate-/r*_binary64
86×distribute-rgt-neg-in_binary64
85×distribute-lft-neg-in_binary64
81×associate-/l*_binary64
59×swap-sqr_binary64 cancel-sign-sub-inv_binary64
58×unswap-sqr_binary64
50×sub-neg_binary64
44×associate-*l/_binary64 *-commutative_binary64
39×distribute-neg-frac_binary64
36×associate-*r/_binary64
32×sqr-pow_binary64
29×neg-sub0_binary64
27×neg-mul-1_binary64
18×distribute-rgt-neg-out_binary64 distribute-lft-neg-out_binary64
15×distribute-rgt-out--_binary64
13×unsub-neg_binary64
11×distribute-rgt-out_binary64
10×+-commutative_binary64
unpow2_binary64 unpow1/2_binary64 pow-plus_binary64 unpow1_binary64 cube-unmult_binary64 rem-sqrt-square_binary64
associate-+l-_binary64
distribute-neg-in_binary64 associate-+r-_binary64
sub0-neg_binary64 +-rgt-identity_binary64 difference-of-squares_binary64 associate-+l+_binary64 associate-+r+_binary64
distribute-lft-out_binary64 associate--l-_binary64 associate--l+_binary64
1-exp_binary64 sqr-neg_binary64 *-lft-identity_binary64 remove-double-neg_binary64 --rgt-identity_binary64 cancel-sign-sub_binary64 distribute-neg-out_binary64 associate--r-_binary64 associate--r+_binary64
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 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-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 rem-square-sqrt_binary64 mul-1-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 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 distribute-frac-neg_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-lft-out--_binary64 count-2_binary64
Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046273
1115273
2310273
31373273
45229273

prune14.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112
Error
53.9b
Counts
2 → 1
Compiler

Compiled 338 to 245 computations (27.5% saved)

localize81.0ms (0.1%)

Local error

Found 4 expressions with local error:

27.5b
(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
27.5b
(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
27.5b
(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
27.5b
(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))

rewrite357.0ms (0.5%)

Algorithm
rewrite-expression-head
Error
53.9b
Rules
pow1_binary64 add-log-exp_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64 *-un-lft-identity_binary64
Counts
4 → 28
Calls

4 calls:

4.0ms
(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
2.0ms
(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
2.0ms
(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
2.0ms
(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
Compiler

Compiled 4928 to 3522 computations (28.5% saved)

series303.0ms (0.4%)

Error
50.8b
Counts
4 → 20
Calls

4 calls:

46.0ms
(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
42.0ms
(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
41.0ms
(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
41.0ms
(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
Compiler

Compiled 8148 to 6020 computations (26.1% saved)

simplify156.0ms (0.2%)

Algorithm
egg-herbie
Rules
765×distribute-rgt-neg-in_binary64
655×distribute-lft-neg-in_binary64
440×cancel-sign-sub-inv_binary64
374×*-commutative_binary64
372×neg-mul-1_binary64
367×neg-sub0_binary64
288×sub-neg_binary64
240×unswap-sqr_binary64
166×distribute-neg-in_binary64
165×associate-*r*_binary64
147×associate-*l*_binary64
144×unsub-neg_binary64
100×cube-prod_binary64
88×distribute-lft-out--_binary64
86×distribute-rgt-out--_binary64
76×sqr-pow_binary64
74×swap-sqr_binary64 distribute-lft-out_binary64
73×unpow3_binary64
65×distribute-lft-neg-out_binary64
63×distribute-rgt-out_binary64
57×associate-+l-_binary64
51×remove-double-neg_binary64 distribute-rgt-neg-out_binary64
45×+-commutative_binary64
42×cube-mult_binary64
40×associate--r+_binary64
38×associate-/l*_binary64 associate-/r*_binary64
37×associate-+l+_binary64
36×associate-/r/_binary64 associate--l+_binary64
30×associate-/l/_binary64
27×associate-+r+_binary64
24×pow-sqr_binary64 associate-+r-_binary64
21×sub0-neg_binary64
19×pow-plus_binary64
18×associate--l-_binary64
17×sqr-neg_binary64 distribute-rgt-in_binary64
16×cube-unmult_binary64 +-rgt-identity_binary64
15×distribute-lft-in_binary64
14×mul0-rgt_binary64 mul0-lft_binary64 associate--r-_binary64
10×div-sub_binary64
distribute-neg-out_binary64
unpow2_binary64 associate-*l/_binary64
cube-neg_binary64
associate-*r/_binary64
cancel-sign-sub_binary64
--rgt-identity_binary64
unpow1/2_binary64 unpow1_binary64 rem-sqrt-square_binary64
1-exp_binary64 *-lft-identity_binary64 distribute-rgt1-in_binary64
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 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 rem-square-sqrt_binary64 times-frac_binary64 mul-1-neg_binary64 /-rgt-identity_binary64 *-rgt-identity_binary64 +-lft-identity_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 distribute-frac-neg_binary64 distribute-lft1-in_binary64 count-2_binary64
Counts
48 → 28
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
042780
195696
2237696
3905696
42070684
53838681
64697657
74931657
84997657
94926657

prune302.0ms (0.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New23528
Fresh000
Picked101
Done000
Total24529
Error
52.0b
Counts
29 → 5
Compiler

Compiled 5803 to 4170 computations (28.1% saved)

localize82.0ms (0.1%)

Local error

Found 4 expressions with local error:

27.5b
(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
27.5b
(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
27.5b
(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
27.5b
(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))

rewrite353.0ms (0.5%)

Algorithm
rewrite-expression-head
Error
52.0b
Rules
pow1_binary64 add-log-exp_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64 *-un-lft-identity_binary64
Counts
4 → 28
Calls

4 calls:

2.0ms
(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
2.0ms
(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
2.0ms
(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
2.0ms
(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
Compiler

Compiled 5012 to 3579 computations (28.6% saved)

series269.0ms (0.4%)

Error
50.3b
Counts
4 → 16
Calls

4 calls:

43.0ms
(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
36.0ms
(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
35.0ms
(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
30.0ms
(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
Compiler

Compiled 6960 to 5147 computations (26% saved)

simplify115.0ms (0.2%)

Algorithm
egg-herbie
Rules
586×distribute-rgt-neg-in_binary64
524×distribute-lft-neg-in_binary64
434×cancel-sign-sub-inv_binary64
400×unswap-sqr_binary64
326×associate-/l*_binary64
296×sub-neg_binary64
295×*-commutative_binary64
267×neg-mul-1_binary64
259×neg-sub0_binary64
230×associate-/l/_binary64
194×unsub-neg_binary64
189×associate-/r/_binary64
174×associate-/r*_binary64
125×distribute-rgt-in_binary64
119×sqr-pow_binary64
105×associate-*r*_binary64
100×distribute-lft-in_binary64 associate-*l*_binary64
83×distribute-neg-in_binary64
59×cube-prod_binary64
57×mul0-rgt_binary64 mul0-lft_binary64
44×+-commutative_binary64
38×pow-sqr_binary64
32×distribute-rgt-out--_binary64
31×distribute-lft-neg-out_binary64
30×distribute-rgt-out_binary64 associate--r+_binary64
28×remove-double-neg_binary64
26×associate-*l/_binary64
25×associate-+l-_binary64
24×pow-plus_binary64
23×unpow3_binary64
22×div-sub_binary64
20×associate-+r-_binary64
18×cube-mult_binary64
17×+-rgt-identity_binary64
16×distribute-lft-out--_binary64
12×cube-unmult_binary64 distribute-lft-out_binary64
11×associate--l+_binary64
10×associate-*r/_binary64 associate-+l+_binary64
unpow2_binary64 unpow1_binary64 sub0-neg_binary64
associate-+r+_binary64
unpow1/2_binary64 sqr-neg_binary64 --rgt-identity_binary64 distribute-rgt-neg-out_binary64
associate--r-_binary64
cube-neg_binary64 rem-sqrt-square_binary64 *-lft-identity_binary64 +-lft-identity_binary64
1-exp_binary64 cancel-sign-sub_binary64
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 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 rem-square-sqrt_binary64 times-frac_binary64 mul-1-neg_binary64 /-rgt-identity_binary64 *-rgt-identity_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 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 count-2_binary64 associate--l-_binary64
Counts
44 → 24
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
034648
171564
2155564
3541564
41048561
52115561
64208549
74685549
84990549
94782549

prune328.0ms (0.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New23124
Fresh044
Picked011
Done000
Total23629
Error
51.8b
Counts
29 → 6
Compiler

Compiled 5158 to 3712 computations (28% saved)

localize88.0ms (0.1%)

Local error

Found 4 expressions with local error:

27.5b
(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
27.5b
(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
27.5b
(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
27.5b
(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))

rewrite387.0ms (0.5%)

Algorithm
rewrite-expression-head
Error
51.8b
Rules
pow1_binary64 add-log-exp_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64 *-un-lft-identity_binary64
Counts
4 → 28
Calls

4 calls:

2.0ms
(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
2.0ms
(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
2.0ms
(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
2.0ms
(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
Compiler

Compiled 4984 to 3578 computations (28.2% saved)

series350.0ms (0.5%)

Error
50.5b
Counts
4 → 20
Calls

4 calls:

44.0ms
(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
43.0ms
(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
43.0ms
(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
35.0ms
(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
Compiler

Compiled 8242 to 6114 computations (25.8% saved)

simplify156.0ms (0.2%)

Algorithm
egg-herbie
Rules
765×distribute-rgt-neg-in_binary64
655×distribute-lft-neg-in_binary64
440×cancel-sign-sub-inv_binary64
374×*-commutative_binary64
372×neg-mul-1_binary64
367×neg-sub0_binary64
288×sub-neg_binary64
240×unswap-sqr_binary64
166×distribute-neg-in_binary64
165×associate-*r*_binary64
148×associate-*l*_binary64
144×unsub-neg_binary64
100×cube-prod_binary64
88×distribute-lft-out--_binary64
86×distribute-rgt-out--_binary64
76×sqr-pow_binary64
74×swap-sqr_binary64 distribute-lft-out_binary64
73×unpow3_binary64
65×distribute-lft-neg-out_binary64
63×distribute-rgt-out_binary64
57×associate-+l-_binary64
51×remove-double-neg_binary64 distribute-rgt-neg-out_binary64
45×+-commutative_binary64
42×cube-mult_binary64
40×associate--r+_binary64
38×associate-/l*_binary64 associate-/r*_binary64
37×associate-+l+_binary64
36×associate-/r/_binary64 associate--l+_binary64
30×associate-/l/_binary64
27×associate-+r+_binary64
24×pow-sqr_binary64 associate-+r-_binary64
21×sub0-neg_binary64
19×pow-plus_binary64
18×associate--l-_binary64
17×sqr-neg_binary64 distribute-rgt-in_binary64
16×cube-unmult_binary64 +-rgt-identity_binary64
15×distribute-lft-in_binary64
14×mul0-rgt_binary64 mul0-lft_binary64 associate--r-_binary64
10×div-sub_binary64
distribute-neg-out_binary64
unpow2_binary64 associate-*l/_binary64
cube-neg_binary64 associate-*r/_binary64
cancel-sign-sub_binary64
--rgt-identity_binary64
unpow1/2_binary64 unpow1_binary64 rem-sqrt-square_binary64
1-exp_binary64 *-lft-identity_binary64 distribute-rgt1-in_binary64
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 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 rem-square-sqrt_binary64 times-frac_binary64 mul-1-neg_binary64 /-rgt-identity_binary64 *-rgt-identity_binary64 +-lft-identity_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 distribute-frac-neg_binary64 distribute-lft1-in_binary64 count-2_binary64
Counts
48 → 24
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
051780
197696
2239696
3907696
42072684
53840681
64699657
74933657
84999657
94926657

prune289.0ms (0.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New23124
Fresh224
Picked011
Done011
Total25530
Error
51.8b
Counts
30 → 5
Compiler

Compiled 4799 to 3456 computations (28% saved)

localize86.0ms (0.1%)

Local error

Found 4 expressions with local error:

27.5b
(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
27.5b
(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
27.5b
(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
27.5b
(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))

rewrite348.0ms (0.5%)

Algorithm
rewrite-expression-head
Error
51.8b
Rules
pow1_binary64 add-log-exp_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64 *-un-lft-identity_binary64
Counts
4 → 28
Calls

4 calls:

2.0ms
(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
2.0ms
(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
2.0ms
(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
2.0ms
(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
Compiler

Compiled 5236 to 3719 computations (29% saved)

series227.0ms (0.3%)

Error
50.3b
Counts
4 → 13
Calls

4 calls:

37.0ms
(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
30.0ms
(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
30.0ms
(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
29.0ms
(cos.f64 (*.f64 (/.f64 angle 180) PI.f64))
Compiler

Compiled 6120 to 4494 computations (26.6% saved)

simplify71.0ms (0.1%)

Algorithm
egg-herbie
Rules
655×distribute-rgt-neg-in_binary64
647×distribute-lft-neg-in_binary64
387×associate-*l*_binary64
372×associate-/l/_binary64
335×cancel-sign-sub-inv_binary64
330×neg-mul-1_binary64
326×associate-*r*_binary64
322×neg-sub0_binary64
295×associate-/r/_binary64
251×unswap-sqr_binary64
225×associate-/l*_binary64
99×unsub-neg_binary64
85×*-commutative_binary64
62×distribute-rgt-in_binary64
60×associate-/r*_binary64
52×distribute-lft-in_binary64
46×distribute-rgt-neg-out_binary64
41×distribute-lft-neg-out_binary64
36×sub-neg_binary64
31×sqr-pow_binary64
20×cube-prod_binary64
13×pow-plus_binary64 associate-*l/_binary64
11×unpow3_binary64
10×cube-unmult_binary64 mul0-rgt_binary64 mul0-lft_binary64
associate-*r/_binary64
+-commutative_binary64
unpow2_binary64 cube-mult_binary64
unpow1/2_binary64 unpow1_binary64 rem-sqrt-square_binary64 sub0-neg_binary64 pow-sqr_binary64 associate-+l-_binary64
1-exp_binary64 --rgt-identity_binary64 associate--r+_binary64 associate-+l+_binary64 associate-+r+_binary64
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-abs_binary64 sqr-neg_binary64 rem-square-sqrt_binary64 times-frac_binary64 div-sub_binary64 mul-1-neg_binary64 /-rgt-identity_binary64 *-rgt-identity_binary64 *-lft-identity_binary64 remove-double-neg_binary64 +-rgt-identity_binary64 +-lft-identity_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_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-neg-in_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-rgt-out--_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
Counts
41 → 21
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
026581
152497
2103497
3318497
41280497
52555497
64588497
74838497

prune246.0ms (0.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New21021
Fresh022
Picked011
Done022
Total21526
Error
51.8b
Counts
26 → 5
Compiler

Compiled 3917 to 2786 computations (28.9% saved)

regimes4.1s (5.7%)

Accuracy

Total 5.0b remaining (10.9%)

Threshold costs 0b (0%)

Compiler

Compiled 97655 to 73654 computations (24.6% saved)

bsearch14.0ms (0%)

Compiler

Compiled 164 to 122 computations (25.6% saved)

simplify27.0ms (0%)

Algorithm
egg-herbie
Rules
24×*-commutative_binary64
19×+-commutative_binary64
16×sub-neg_binary64
12×neg-mul-1_binary64 neg-sub0_binary64
unsub-neg_binary64 distribute-neg-frac_binary64 distribute-neg-in_binary64
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 1-exp_binary64 exp-1-e_binary64 exp-0_binary64 sqr-abs_binary64 sqr-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-frac-neg_binary64 distribute-neg-out_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)

IterNodesCost
061547
184547
2101547
3117547
4137547
5155547
6165547
7169547
8169547

end9.0ms (0%)

Compiler

Compiled 339 to 248 computations (26.8% saved)

sample44.7s (62.5%)

Algorithm
intervals
Results
15.8s1568×body4096valid
8.7s1416×body2048valid
8.0s1662×body1024valid
6.0s88×body8192exit
2.3s731×body512valid
1.6s2273×body128valid
698.0ms350×body256valid
Compiler

Compiled 1384 to 1051 computations (24.1% saved)

Profiling

Loading profile data...