Details

Time bar (total: 10.4s)

analyze1.2s (11.6%)

Algorithm
search
egg-herbie
Rules
592×associate-*l*_binary64
585×associate-*r*_binary64
405×neg-sub0_binary64
385×neg-mul-1_binary64
321×sub-neg_binary64
304×unsub-neg_binary64
233×distribute-rgt-in_binary64
230×distribute-lft-in_binary64
219×*-commutative_binary64
190×distribute-rgt-neg-out_binary64
176×distribute-lft-neg-out_binary64
160×cancel-sign-sub-inv_binary64
114×unswap-sqr_binary64
90×distribute-rgt-neg-in_binary64
82×distribute-lft-neg-in_binary64
78×+-commutative_binary64
74×difference-of-squares_binary64
54×associate-/l*_binary64
50×associate-+r+_binary64
48×+-lft-identity_binary64
39×sqr-pow_binary64 associate-/r*_binary64
37×associate--r+_binary64
36×associate-/r/_binary64
21×pow-plus_binary64
20×+-rgt-identity_binary64
19×distribute-neg-in_binary64
18×associate-+l+_binary64
16×associate-+r-_binary64
15×rem-sqrt-square_binary64
14×div-sub_binary64
13×remove-double-neg_binary64 associate-+l-_binary64
12×cube-unmult_binary64 associate-/l/_binary64 associate-*l/_binary64
sub0-neg_binary64
unpow3_binary64 unpow2_binary64 mul-1-neg_binary64 mul0-rgt_binary64 mul0-lft_binary64
sqr-neg_binary64 associate--r-_binary64
unpow1/2_binary64 unpow1_binary64 pow-sqr_binary64 associate-*r/_binary64
cube-prod_binary64 cube-neg_binary64 *-lft-identity_binary64 cancel-sign-sub_binary64 associate--l+_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 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 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 /-rgt-identity_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 swap-sqr_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-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--l-_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038148
192148
2236148
3671148
42494148
53779148
64724148
74956148
033
133
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
25%74.9%0.1%6
25%74.9%0.1%7
31.2%68.6%0.1%8
40.6%59.3%0.1%9
40.6%59.3%0.1%10
46%53.8%0.1%11
52.7%47.2%0.1%12
52.7%44.6%2.8%13
55.9%40.6%3.5%14
Compiler

Compiled 24 to 22 computations (8.3% saved)

sample128.0ms (1.2%)

Algorithm
intervals
Results
25.0ms171×body128valid
22.0ms44×body1024valid
19.0ms40×body1024invalid
15.0msbody4096valid
9.0ms25×body512valid
7.0ms21×body512invalid
5.0ms43×body128invalid
5.0msbody2048valid
1.0msbody256valid
1.0msbody256invalid
Compiler

Compiled 47 to 46 computations (2.1% saved)

simplify58.0ms (0.6%)

Algorithm
egg-herbie
Rules
416×sub-neg_binary64
404×neg-mul-1_binary64
392×neg-sub0_binary64
387×unsub-neg_binary64
358×*-commutative_binary64
324×distribute-rgt-in_binary64
306×distribute-lft-in_binary64
279×associate-+r+_binary64
272×difference-of-squares_binary64
185×distribute-lft-neg-out_binary64
182×distribute-rgt-neg-out_binary64
181×+-lft-identity_binary64
165×associate-*l*_binary64
161×associate-*r*_binary64
109×distribute-rgt-neg-in_binary64
107×associate-+l+_binary64
98×distribute-lft-neg-in_binary64
86×unswap-sqr_binary64
63×+-commutative_binary64
58×cancel-sign-sub-inv_binary64
42×sqr-pow_binary64
32×associate-+l-_binary64
29×sub0-neg_binary64 +-rgt-identity_binary64
22×associate-+r-_binary64
19×mul0-rgt_binary64 mul0-lft_binary64
16×pow-plus_binary64
12×associate--r+_binary64
10×rem-sqrt-square_binary64 distribute-neg-in_binary64
cube-unmult_binary64 --rgt-identity_binary64
unpow2_binary64 remove-double-neg_binary64 pow-sqr_binary64
unpow3_binary64 unpow1_binary64 cube-prod_binary64 distribute-rgt-out_binary64
associate--l+_binary64
unpow1/2_binary64 cube-neg_binary64 sqr-neg_binary64 mul-1-neg_binary64 associate-/l*_binary64
1-exp_binary64 distribute-rgt-out--_binary64 associate-/r/_binary64 associate-*l/_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 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 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 div-sub_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 swap-sqr_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-lft-out--_binary64 distribute-lft-out_binary64 count-2_binary64 associate-/l/_binary64 associate-/r*_binary64 associate--l-_binary64
Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01737
13737
28337
321637
475737
5178637
6356737
7463837
8491237

prune3.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112
Error
32.0b
Counts
2 → 1
Compiler

Compiled 46 to 40 computations (13% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.4b
(-.f64 (pow.f64 b 2) (pow.f64 a 2))
11.2b
(*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 PI.f64 (/.f64 angle 180))))
22.0b
(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
22.3b
(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))

rewrite210.0ms (2%)

Algorithm
rewrite-expression-head
Error
31.6b
Rules
23×add-sqr-sqrt_binary64
16×difference-of-squares_binary64
13×unpow-prod-down_binary64
11×*-un-lft-identity_binary64
pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 unpow2_binary64 sqr-pow_binary64
cancel-sign-sub-inv_binary64
add-cube-cbrt_binary64
add-log-exp_binary64
pow-prod-down_binary64 prod-exp_binary64 cbrt-unprod_binary64 associate-*r*_binary64
flip3--_binary64 associate-*r/_binary64 associate-*l/_binary64 flip--_binary64 distribute-lft-out--_binary64
associate-*l*_binary64 *-commutative_binary64 diff-log_binary64 sub-neg_binary64
Counts
4 → 71
Calls

4 calls:

13.0ms
(*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 PI.f64 (/.f64 angle 180))))
12.0ms
(-.f64 (pow.f64 b 2) (pow.f64 a 2))
2.0ms
(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
1.0ms
(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
Compiler

Compiled 2230 to 1676 computations (24.8% saved)

series174.0ms (1.7%)

Error
30.1b
Counts
4 → 36
Calls

4 calls:

95.0ms
(*.f64 (*.f64 2 (-.f64 (pow.f64 b 2) (pow.f64 a 2))) (sin.f64 (*.f64 PI.f64 (/.f64 angle 180))))
32.0ms
(-.f64 (pow.f64 b 2) (pow.f64 a 2))
11.0ms
(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
11.0ms
(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
Compiler

Compiled 1890 to 1622 computations (14.2% saved)

simplify117.0ms (1.1%)

Algorithm
egg-herbie
Rules
510×*-commutative_binary64
500×cancel-sign-sub-inv_binary64
239×exp-prod_binary64
225×distribute-rgt-in_binary64
221×distribute-lft-in_binary64
194×unswap-sqr_binary64
192×associate-*r*_binary64
185×associate-*l*_binary64
153×difference-of-squares_binary64
145×distribute-rgt-neg-in_binary64
141×sub-neg_binary64
135×distribute-lft-neg-in_binary64
123×sqr-pow_binary64
121×neg-mul-1_binary64
116×neg-sub0_binary64
77×unsub-neg_binary64
64×+-commutative_binary64
57×cube-prod_binary64
56×swap-sqr_binary64
52×exp-sum_binary64
50×log-prod_binary64
47×unpow3_binary64
38×pow-sqr_binary64
31×distribute-lft-neg-out_binary64
23×rem-sqrt-square_binary64
21×distribute-rgt-out--_binary64
20×pow-plus_binary64 cube-unmult_binary64
19×associate-+l+_binary64
18×distribute-rgt-neg-out_binary64
17×mul0-rgt_binary64 mul0-lft_binary64
16×associate-+l-_binary64
14×*-rgt-identity_binary64 *-lft-identity_binary64
13×distribute-rgt-out_binary64 associate-+r-_binary64 associate-+r+_binary64
12×sub0-neg_binary64
11×unpow1/2_binary64 +-rgt-identity_binary64
10×cube-mult_binary64
unpow1_binary64 exp-lft-sqr_binary64
unpow2_binary64 exp-diff_binary64 distribute-lft-out--_binary64 associate--l+_binary64
prod-exp_binary64 distribute-lft-out_binary64 associate--r+_binary64
associate-/l*_binary64
rem-square-sqrt_binary64 times-frac_binary64
div-sub_binary64 distribute-neg-in_binary64 associate-/r*_binary64 associate-*r/_binary64
div-exp_binary64 exp-neg_binary64 1-exp_binary64 exp-1-e_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 sqr-neg_binary64 associate-/r/_binary64 associate-*l/_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 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-cbrt_binary64 exp-sqrt_binary64 rec-exp_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 mul-1-neg_binary64 /-rgt-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 cancel-sign-sub_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 associate--r-_binary64 associate--l-_binary64
Counts
107 → 83
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01932322
14391727
213031699
331401699
448621699
549711699

prune81.0ms (0.8%)

Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New681583
Fresh000
Picked101
Done000
Total691584
Error
30.8b
Counts
84 → 15
Compiler

Compiled 1494 to 977 computations (34.6% saved)

localize27.0ms (0.3%)

Local error

Found 4 expressions with local error:

22.0b
(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
22.0b
(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
22.0b
(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
22.3b
(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))

rewrite72.0ms (0.7%)

Algorithm
rewrite-expression-head
Error
30.8b
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
(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
2.0ms
(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
2.0ms
(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
2.0ms
(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
Compiler

Compiled 1876 to 1031 computations (45% saved)

series84.0ms (0.8%)

Error
30.0b
Counts
4 → 16
Calls

4 calls:

16.0ms
(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
15.0ms
(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
14.0ms
(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
14.0ms
(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
Compiler

Compiled 2520 to 1532 computations (39.2% saved)

simplify91.0ms (0.9%)

Algorithm
egg-herbie
Rules
747×unswap-sqr_binary64
568×distribute-rgt-neg-in_binary64
553×distribute-lft-neg-in_binary64
338×*-commutative_binary64
295×cancel-sign-sub-inv_binary64
282×unsub-neg_binary64
260×associate-/l/_binary64
214×neg-mul-1_binary64
210×neg-sub0_binary64
169×distribute-rgt-in_binary64
166×associate-*r*_binary64
158×associate-*l*_binary64
151×distribute-lft-in_binary64
125×sub-neg_binary64
56×sqr-pow_binary64
38×associate-/l*_binary64 associate-/r*_binary64
36×associate-/r/_binary64
18×distribute-neg-in_binary64
17×mul0-rgt_binary64 mul0-lft_binary64 distribute-rgt-out--_binary64
16×pow-plus_binary64 cube-unmult_binary64 +-commutative_binary64
14×unpow3_binary64
13×distribute-lft-neg-out_binary64 distribute-rgt-out_binary64
12×cube-prod_binary64 pow-sqr_binary64
10×distribute-rgt-neg-out_binary64
unpow2_binary64 distribute-lft-out--_binary64 associate-*l/_binary64 associate-*r/_binary64
associate-+l-_binary64
cube-mult_binary64 sub0-neg_binary64 distribute-lft-out_binary64 associate--r+_binary64
unpow1/2_binary64 unpow1_binary64 rem-sqrt-square_binary64 --rgt-identity_binary64 +-rgt-identity_binary64 associate-+r-_binary64 associate-+l+_binary64 associate-+r+_binary64
cos-neg_binary64 sin-neg_binary64 1-exp_binary64 remove-double-neg_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 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 +-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-rgt1-in_binary64 distribute-lft1-in_binary64 count-2_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64
Counts
44 → 5
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
042674
189590
2208590
3854590
41766590
53971590
64933590
75075590

prune28.0ms (0.3%)

Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New325
Fresh11314
Picked011
Done000
Total41620
Error
30.8b
Counts
20 → 16
Compiler

Compiled 782 to 536 computations (31.5% saved)

localize31.0ms (0.3%)

Local error

Found 4 expressions with local error:

22.0b
(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
22.0b
(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
22.0b
(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
22.3b
(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))

rewrite79.0ms (0.8%)

Algorithm
rewrite-expression-head
Error
30.8b
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 PI.f64 (/.f64 angle 180)))
2.0ms
(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
2.0ms
(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
2.0ms
(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
Compiler

Compiled 1960 to 1115 computations (43.1% saved)

series92.0ms (0.9%)

Error
30.0b
Counts
4 → 16
Calls

4 calls:

17.0ms
(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
16.0ms
(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
15.0ms
(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
14.0ms
(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
Compiler

Compiled 2640 to 1652 computations (37.4% saved)

simplify92.0ms (0.9%)

Algorithm
egg-herbie
Rules
747×unswap-sqr_binary64
568×distribute-rgt-neg-in_binary64
553×distribute-lft-neg-in_binary64
338×*-commutative_binary64
295×cancel-sign-sub-inv_binary64
282×unsub-neg_binary64
260×associate-/l/_binary64
214×neg-mul-1_binary64
210×neg-sub0_binary64
169×distribute-rgt-in_binary64
166×associate-*r*_binary64
158×associate-*l*_binary64
151×distribute-lft-in_binary64
125×sub-neg_binary64
56×sqr-pow_binary64
38×associate-/l*_binary64 associate-/r*_binary64
36×associate-/r/_binary64
18×distribute-neg-in_binary64
17×mul0-rgt_binary64 mul0-lft_binary64 distribute-rgt-out--_binary64
16×pow-plus_binary64 cube-unmult_binary64 +-commutative_binary64
14×unpow3_binary64
13×distribute-lft-neg-out_binary64 distribute-rgt-out_binary64
12×cube-prod_binary64 pow-sqr_binary64
10×distribute-rgt-neg-out_binary64
unpow2_binary64 distribute-lft-out--_binary64 associate-*l/_binary64 associate-*r/_binary64
associate-+l-_binary64
cube-mult_binary64 sub0-neg_binary64 distribute-lft-out_binary64 associate--r+_binary64
unpow1/2_binary64 unpow1_binary64 rem-sqrt-square_binary64 --rgt-identity_binary64 +-rgt-identity_binary64 associate-+r-_binary64 associate-+l+_binary64 associate-+r+_binary64
cos-neg_binary64 sin-neg_binary64 1-exp_binary64 remove-double-neg_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 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 +-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-rgt1-in_binary64 distribute-lft1-in_binary64 count-2_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64
Counts
44 → 5
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
042674
189590
2208590
3854590
41766590
53971590
64933590
75075590

prune31.0ms (0.3%)

Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New415
Fresh01414
Picked101
Done011
Total51621
Error
30.8b
Counts
21 → 16
Compiler

Compiled 800 to 554 computations (30.8% saved)

localize35.0ms (0.3%)

Local error

Found 4 expressions with local error:

22.0b
(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
22.0b
(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
22.0b
(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
22.3b
(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))

rewrite87.0ms (0.8%)

Algorithm
rewrite-expression-head
Error
30.8b
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 PI.f64 (/.f64 angle 180)))
2.0ms
(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
2.0ms
(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
2.0ms
(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
Compiler

Compiled 2044 to 1199 computations (41.3% saved)

series98.0ms (0.9%)

Error
30.0b
Counts
4 → 16
Calls

4 calls:

18.0ms
(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
16.0ms
(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
16.0ms
(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
15.0ms
(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
Compiler

Compiled 2760 to 1772 computations (35.8% saved)

simplify94.0ms (0.9%)

Algorithm
egg-herbie
Rules
747×unswap-sqr_binary64
568×distribute-rgt-neg-in_binary64
553×distribute-lft-neg-in_binary64
338×*-commutative_binary64
295×cancel-sign-sub-inv_binary64
282×unsub-neg_binary64
260×associate-/l/_binary64
214×neg-mul-1_binary64
210×neg-sub0_binary64
169×distribute-rgt-in_binary64
166×associate-*r*_binary64
158×associate-*l*_binary64
151×distribute-lft-in_binary64
125×sub-neg_binary64
56×sqr-pow_binary64
38×associate-/l*_binary64 associate-/r*_binary64
36×associate-/r/_binary64
18×distribute-neg-in_binary64
17×mul0-rgt_binary64 mul0-lft_binary64 distribute-rgt-out--_binary64
16×pow-plus_binary64 cube-unmult_binary64 +-commutative_binary64
14×unpow3_binary64
13×distribute-lft-neg-out_binary64 distribute-rgt-out_binary64
12×cube-prod_binary64 pow-sqr_binary64
10×distribute-rgt-neg-out_binary64
unpow2_binary64 distribute-lft-out--_binary64 associate-*l/_binary64 associate-*r/_binary64
associate-+l-_binary64
cube-mult_binary64 sub0-neg_binary64 distribute-lft-out_binary64 associate--r+_binary64
unpow1/2_binary64 unpow1_binary64 rem-sqrt-square_binary64 --rgt-identity_binary64 +-rgt-identity_binary64 associate-+r-_binary64 associate-+l+_binary64 associate-+r+_binary64
cos-neg_binary64 sin-neg_binary64 1-exp_binary64 remove-double-neg_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 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 +-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-rgt1-in_binary64 distribute-lft1-in_binary64 count-2_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64
Counts
44 → 5
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
042674
189590
2208590
3854590
41766590
53971590
64933590
75075590

prune17.0ms (0.2%)

Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New415
Fresh01414
Picked101
Done011
Total51621
Error
30.8b
Counts
21 → 16
Compiler

Compiled 347 to 208 computations (40.1% saved)

regimes3.1s (29.9%)

Accuracy

Total 2.3b remaining (7.4%)

Threshold costs 0b (0%)

Compiler

Compiled 61596 to 47917 computations (22.2% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
sub-neg_binary64 +-commutative_binary64
neg-mul-1_binary64 neg-sub0_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 unsub-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)

IterNodesCost
02037
12837
23337
33537
43637
53637

end1.0ms (0%)

Compiler

Compiled 23 to 21 computations (8.7% saved)

sample4.3s (41.6%)

Algorithm
intervals
Results
774.0ms1518×body1024valid
647.0ms1232×body1024invalid
592.0ms5140×body128valid
264.0ms700×body512valid
264.0ms72×body4096valid
230.0ms646×body512invalid
182.0ms204×body2048valid
168.0ms1289×body128invalid
101.0ms366×body256valid
73.0ms312×body256invalid
Compiler

Compiled 581 to 460 computations (20.8% saved)

Profiling

Loading profile data...