Details

Time bar (total: 11.5s)

analyze1.0s (8.9%)

Algorithm
search
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
0%99.9%0.1%6
6.2%93.6%0.1%7
9.4%90.5%0.1%8
14%85.8%0.1%9
19.5%80.4%0.1%10
20.7%79.2%0.1%11
22%77.8%0.1%12
23.5%76.4%0.1%13
23.8%76%0.1%14
Compiler

Compiled 10 to 9 computations (10% saved)

sample69.0ms (0.6%)

Algorithm
intervals
Results
40.0ms125×body1024valid
8.0ms40×body512valid
5.0ms67×body128valid
4.0msbody2048valid
2.0ms17×body256valid
Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify90.0ms (0.8%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
02114
12114

prune6.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112
Error
19.5b
Counts
2 → 1
Compiler

Compiled 18 to 16 computations (11.1% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.2b
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
0.3b
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
4.9b
(cos.f64 (+.f64 a b))

rewrite20.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt_binary64_441
19×*-un-lft-identity_binary64_419 times-frac_binary64_425 add-cube-cbrt_binary64_454
13×associate-*r*_binary64_359
10×add-cbrt-cube_binary64_455 add-exp-log_binary64_457
pow1_binary64_480
add-log-exp_binary64_458 associate-*l*_binary64_360 associate-/r*_binary64_363 associate-/l*_binary64_364
div-inv_binary64_416 unswap-sqr_binary64_387 prod-exp_binary64_468 cbrt-unprod_binary64_452 div-exp_binary64_470 cbrt-undiv_binary64_453
pow-prod-down_binary64_490 clear-num_binary64_418 cos-sum_binary64_553 associate-*r/_binary64_361 *-commutative_binary64_350 frac-2neg_binary64_430
Counts
3 → 67
Calls

3 calls:

7.0ms
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
4.0ms
(cos.f64 (+.f64 a b))
4.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))

series538.0ms (4.7%)

Counts
3 → 39
Calls

3 calls:

326.0ms
(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
168.0ms
(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
44.0ms
(cos.f64 (+.f64 a b))
Compiler

Compiled 1070 to 823 computations (23.1% saved)

simplify49.0ms (0.4%)

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 0 (26.0ms)

IterNodesCost
051132368

prune114.0ms (1%)

Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New9214106
Fresh000
Picked101
Done000
Total9314107
Error
0.2b
Counts
107 → 14
Compiler

Compiled 2205 to 760 computations (65.5% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
0.1b
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))
0.2b
(*.f64 (sin.f64 a) (sin.f64 b))
0.3b
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))

rewrite43.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt_binary64_441
22×*-un-lft-identity_binary64_419 add-cube-cbrt_binary64_454
20×associate-*r*_binary64_359
19×times-frac_binary64_425
13×add-cbrt-cube_binary64_455 add-exp-log_binary64_457
associate-/r/_binary64_365 pow1_binary64_480
sin-mult_binary64_574
add-log-exp_binary64_458 cos-mult_binary64_573 associate-*l*_binary64_360
unswap-sqr_binary64_387 prod-exp_binary64_468 cbrt-unprod_binary64_452 flip3--_binary64_423 flip--_binary64_394 associate-/r*_binary64_363 sub-div_binary64_426 frac-sub_binary64_428 associate-/l*_binary64_364
pow-prod-down_binary64_490 div-inv_binary64_416 *-commutative_binary64_350 div-exp_binary64_470 cbrt-undiv_binary64_453
clear-num_binary64_418 sub-neg_binary64_412 associate-*r/_binary64_361 frac-2neg_binary64_430 diff-log_binary64_511 cancel-sign-sub-inv_binary64_385
Counts
4 → 100
Calls

4 calls:

12.0ms
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))
8.0ms
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
8.0ms
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
5.0ms
(*.f64 (sin.f64 a) (sin.f64 b))

series1.4s (12.4%)

Counts
4 → 47
Calls

4 calls:

728.0ms
(*.f64 r (/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))
370.0ms
(/.f64 (sin.f64 b) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
213.0ms
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
117.0ms
(*.f64 (sin.f64 a) (sin.f64 b))
Compiler

Compiled 1616 to 1224 computations (24.3% saved)

simplify85.0ms (0.7%)

Algorithm
egg-herbie
Counts
147 → 147
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
049694091
149694091

prune181.0ms (1.6%)

Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New13413147
Fresh12113
Picked101
Done000
Total14714161
Error
0.0b
Counts
161 → 14
Compiler

Compiled 4020 to 1140 computations (71.6% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
0.2b
(*.f64 (sin.f64 b) r)
0.2b
(*.f64 (sin.f64 a) (sin.f64 b))
0.2b
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))

rewrite29.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt_binary64_441
13×add-cbrt-cube_binary64_455 add-exp-log_binary64_457
10×*-un-lft-identity_binary64_419 add-cube-cbrt_binary64_454
pow1_binary64_480
add-log-exp_binary64_458 associate-*r*_binary64_359 associate-*l*_binary64_360
sin-mult_binary64_574
associate-/r/_binary64_365 cos-mult_binary64_573
times-frac_binary64_425 prod-exp_binary64_468 cbrt-unprod_binary64_452 associate-/r*_binary64_363
pow-prod-down_binary64_490 unswap-sqr_binary64_387 flip3--_binary64_423 *-commutative_binary64_350 flip--_binary64_394 sub-div_binary64_426 div-exp_binary64_470 frac-sub_binary64_428 cbrt-undiv_binary64_453
clear-num_binary64_418 sub-neg_binary64_412 div-inv_binary64_416 frac-2neg_binary64_430 diff-log_binary64_511 cancel-sign-sub-inv_binary64_385 associate-/l*_binary64_364
Counts
4 → 76
Calls

4 calls:

9.0ms
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
5.0ms
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
5.0ms
(*.f64 (sin.f64 a) (sin.f64 b))
4.0ms
(*.f64 (sin.f64 b) r)

series1.2s (10.2%)

Counts
4 → 44
Calls

4 calls:

759.0ms
(/.f64 (*.f64 (sin.f64 b) r) (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))
206.0ms
(-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))
122.0ms
(*.f64 (sin.f64 a) (sin.f64 b))
95.0ms
(*.f64 (sin.f64 b) r)
Compiler

Compiled 1444 to 1103 computations (23.6% saved)

simplify89.0ms (0.8%)

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 0 (63.0ms)

IterNodesCost
049572616
149572616

prune122.0ms (1.1%)

Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New1182120
Fresh31013
Picked101
Done000
Total12212134
Error
0.0b
Counts
134 → 12
Compiler

Compiled 2985 to 833 computations (72.1% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b
(-.f64 (/.f64 (cos.f64 a) (/.f64 (sin.f64 b) (cos.f64 b))) (sin.f64 a))
0.2b
(/.f64 (sin.f64 b) (cos.f64 b))
0.2b
(/.f64 (cos.f64 a) (/.f64 (sin.f64 b) (cos.f64 b)))
0.2b
(/.f64 r (-.f64 (/.f64 (cos.f64 a) (/.f64 (sin.f64 b) (cos.f64 b))) (sin.f64 a)))

rewrite66.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
120×times-frac_binary64_425
112×add-sqr-sqrt_binary64_441
77×*-un-lft-identity_binary64_419
67×add-cube-cbrt_binary64_454
23×associate-/r*_binary64_363
15×difference-of-squares_binary64_388
13×add-cbrt-cube_binary64_455 add-exp-log_binary64_457
associate-/l*_binary64_364
div-inv_binary64_416
add-log-exp_binary64_458
distribute-lft-out--_binary64_371 div-exp_binary64_470 cbrt-undiv_binary64_453
pow1_binary64_480
clear-num_binary64_418 associate-/r/_binary64_365 frac-2neg_binary64_430 cancel-sign-sub-inv_binary64_385
flip3--_binary64_423 flip--_binary64_394
sub-neg_binary64_412 quot-tan_binary64_579 diff-log_binary64_511
Counts
4 → 161
Calls

4 calls:

22.0ms
(-.f64 (/.f64 (cos.f64 a) (/.f64 (sin.f64 b) (cos.f64 b))) (sin.f64 a))
18.0ms
(/.f64 r (-.f64 (/.f64 (cos.f64 a) (/.f64 (sin.f64 b) (cos.f64 b))) (sin.f64 a)))
6.0ms
(/.f64 (cos.f64 a) (/.f64 (sin.f64 b) (cos.f64 b)))
4.0ms
(/.f64 (sin.f64 b) (cos.f64 b))

series1.2s (10.3%)

Counts
4 → 44
Calls

4 calls:

684.0ms
(/.f64 r (-.f64 (/.f64 (cos.f64 a) (/.f64 (sin.f64 b) (cos.f64 b))) (sin.f64 a)))
227.0ms
(/.f64 (cos.f64 a) (/.f64 (sin.f64 b) (cos.f64 b)))
223.0ms
(-.f64 (/.f64 (cos.f64 a) (/.f64 (sin.f64 b) (cos.f64 b))) (sin.f64 a))
49.0ms
(/.f64 (sin.f64 b) (cos.f64 b))
Compiler

Compiled 1250 to 989 computations (20.9% saved)

simplify114.0ms (1%)

Algorithm
egg-herbie
Counts
205 → 205
Iterations

Useful iterations: 0 (64.0ms)

IterNodesCost
049605554
149605554

prune170.0ms (1.5%)

Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New2023205
Fresh2911
Picked101
Done000
Total20512217
Error
0.0b
Counts
217 → 12
Compiler

Compiled 4641 to 1042 computations (77.5% saved)

regimes972.0ms (8.4%)

Accuracy

Total 0.3b remaining (95.9%)

Threshold costs 0.3b (95.9%)

Compiler

Compiled 11570 to 7175 computations (38% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02016
12016

end0.0ms (0%)

sample3.9s (33.9%)

Algorithm
intervals
Results
1.0s3518×body1024valid
317.0ms2337×body128valid
275.0ms1356×body512valid
104.0ms186×body2048valid
88.0ms603×body256valid
Compiler

Compiled 2289 to 1423 computations (37.8% saved)

Profiling

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