Details

Time bar (total: 7.0s)

analyze500.0ms (7.1%)

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
25%74.9%0.1%6
37.4%62.4%0.1%7
56.2%43.7%0.1%8
56.2%43.7%0.1%9
65.5%34.3%0.1%10
76.5%23.4%0.1%11
76.5%23.4%0.1%12
81.9%17.9%0.1%13
87.8%12.1%0.1%14
Compiler

Compiled 13 to 9 computations (30.8% saved)

sample2.5s (35.3%)

Results
1.0s5920×body128valid
985.0ms1328×body1024valid
295.0ms677×body512valid
88.0ms328×body256valid
4.0msbody2048valid
Compiler

Compiled 38 to 26 computations (31.6% saved)

simplify22.0ms (0.3%)

Algorithm
egg-herbie
Rules
230×fma-def_binary64
171×fma-neg_binary64
66×cancel-sign-sub-inv_binary64
44×associate--r+_binary64
44×distribute-rgt-in_binary64
Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0914
11814
23414
35914
49914
515514
624714
729214
837814
941014
1044414
1145414
1243114

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.1b
Counts
2 → 1
Alt Table
StatusErrorProgram
0.1b
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 36 to 24 computations (33.3% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(sin.f64 y)
0.0b
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
0.0b
(+.f64 x (cos.f64 y))
0.2b
(*.f64 z (sin.f64 y))

series27.0ms (0.4%)

Counts
4 → 88
Calls

4 calls:

13.0ms
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
8.0ms
(*.f64 z (sin.f64 y))
4.0ms
(+.f64 x (cos.f64 y))
1.0ms
(sin.f64 y)

rewrite15.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
15×*-un-lft-identity_binary64
11×add-sqr-sqrt_binary64
11×add-log-exp_binary64
add-cube-cbrt_binary64
add-cbrt-cube_binary64
Counts
4 → 70
Calls

4 calls:

5.0ms
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
3.0ms
(*.f64 z (sin.f64 y))
2.0ms
(+.f64 x (cos.f64 y))
2.0ms
(sin.f64 y)

simplify107.0ms (1.5%)

Algorithm
egg-herbie
Rules
941×fma-neg_binary64
545×fma-def_binary64
454×associate-*l*_binary64
392×associate-*r*_binary64
304×cancel-sign-sub-inv_binary64
Counts
158 → 136
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01521757
13961679
211581627
340031621
449951621
549001621

prune133.0ms (1.9%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1288136
Fresh000
Picked011
Done000
Total1289137
Error
0.0b
Counts
137 → 9
Alt Table
StatusErrorProgram
0.3b
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 (*.f64 z (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))) (cbrt.f64 (sin.f64 y))))
0.4b
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 (*.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (cbrt.f64 (*.f64 z (sin.f64 y)))) (cbrt.f64 (*.f64 z (sin.f64 y)))))
16.7b
(-.f64 (expm1.f64 (log1p.f64 (+.f64 x (cos.f64 y)))) (*.f64 z (sin.f64 y)))
32.8b
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y)))))
33.3b
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 (*.f64 z (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y))))
26.5b
(*.f64 (sqrt.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (sqrt.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
21.5b
(-.f64 (+.f64 x (cos.f64 y)) (cbrt.f64 (*.f64 (*.f64 (*.f64 z z) z) (*.f64 (*.f64 (sin.f64 y) (sin.f64 y)) (sin.f64 y)))))
1.3b
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (cbrt.f64 (pow.f64 (sin.f64 y) 3))))
0.1b
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 2381 to 783 computations (67.1% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 z (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y))))
0.3b
(*.f64 (*.f64 z (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))) (cbrt.f64 (sin.f64 y)))
0.5b
(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))
0.6b
(cbrt.f64 (sin.f64 y))

series823.0ms (11.7%)

Counts
4 → 72
Calls

4 calls:

469.0ms
(*.f64 z (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y))))
200.0ms
(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))
144.0ms
(cbrt.f64 (sin.f64 y))
9.0ms
(*.f64 (*.f64 z (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))) (cbrt.f64 (sin.f64 y)))

rewrite26.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt_binary64
25×pow1_binary64
22×cbrt-prod_binary64
20×add-exp-log_binary64
16×*-un-lft-identity_binary64
Counts
4 → 102
Calls

4 calls:

8.0ms
(*.f64 (*.f64 z (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))) (cbrt.f64 (sin.f64 y)))
6.0ms
(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))
5.0ms
(*.f64 z (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y))))
1.0ms
(cbrt.f64 (sin.f64 y))

simplify123.0ms (1.8%)

Algorithm
egg-herbie
Rules
601×unswap-sqr_binary64
518×fma-neg_binary64
478×*-commutative_binary64
394×cancel-sign-sub-inv_binary64
368×log-prod_binary64
Counts
174 → 177
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01732226
14291857
213671728
325481694
444531676
549531676
650331676

prune277.0ms (3.9%)

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New2225227
Fresh347
Picked101
Done011
Total22610236
Error
0b
Counts
236 → 10
Alt Table
StatusErrorProgram
0.4b
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 (*.f64 z (*.f64 (*.f64 (cbrt.f64 (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))) (cbrt.f64 (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y))))) (cbrt.f64 (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))))) (cbrt.f64 (sin.f64 y))))
0.4b
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 (*.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (cbrt.f64 (*.f64 z (sin.f64 y)))) (cbrt.f64 (*.f64 z (sin.f64 y)))))
16.7b
(-.f64 (expm1.f64 (log1p.f64 (+.f64 x (cos.f64 y)))) (*.f64 z (sin.f64 y)))
32.8b
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y)))))
0.9b
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 (*.f64 z (cbrt.f64 (pow.f64 (sin.f64 y) 2))) (cbrt.f64 (sin.f64 y))))
0.1b
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
0.4b
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 (*.f64 z (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 2) (cbrt.f64 (cbrt.f64 (sin.f64 y))))))
0.4b
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 (*.f64 z (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))) (log1p.f64 (expm1.f64 (cbrt.f64 (sin.f64 y))))))
1.1b
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 (*.f64 z (pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)) (cbrt.f64 (sin.f64 y))))
26.5b
(*.f64 (sqrt.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (sqrt.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
Compiler

Compiled 5716 to 1785 computations (68.8% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(log1p.f64 (expm1.f64 (cbrt.f64 (sin.f64 y))))
0.3b
(*.f64 (*.f64 z (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))) (log1p.f64 (expm1.f64 (cbrt.f64 (sin.f64 y)))))
0.5b
(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))
0.6b
(cbrt.f64 (sin.f64 y))

series160.0ms (2.3%)

Counts
2 → 36
Calls

2 calls:

141.0ms
(log1p.f64 (expm1.f64 (cbrt.f64 (sin.f64 y))))
19.0ms
(*.f64 (*.f64 z (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))) (log1p.f64 (expm1.f64 (cbrt.f64 (sin.f64 y)))))

rewrite12.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
11×add-exp-log_binary64
11×pow1_binary64
add-cbrt-cube_binary64
cbrt-unprod_binary64
prod-exp_binary64
Counts
2 → 34
Calls

2 calls:

10.0ms
(*.f64 (*.f64 z (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))) (log1p.f64 (expm1.f64 (cbrt.f64 (sin.f64 y)))))
0.0ms
(log1p.f64 (expm1.f64 (cbrt.f64 (sin.f64 y))))

simplify83.0ms (1.2%)

Algorithm
egg-herbie
Rules
967×fma-neg_binary64
560×fma-def_binary64
421×cancel-sign-sub-inv_binary64
317×*-commutative_binary64
258×sub-neg_binary64
Counts
70 → 67
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0991087
1264593
2819578
31602570
43399565
54474565
64899565

prune299.0ms (4.3%)

Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New2080208
Fresh088
Picked011
Done011
Total20810218
Error
0b
Counts
218 → 10
Alt Table
StatusErrorProgram
0.4b
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 (*.f64 z (*.f64 (*.f64 (cbrt.f64 (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))) (cbrt.f64 (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y))))) (cbrt.f64 (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))))) (cbrt.f64 (sin.f64 y))))
0.4b
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 (*.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (cbrt.f64 (*.f64 z (sin.f64 y)))) (cbrt.f64 (*.f64 z (sin.f64 y)))))
16.7b
(-.f64 (expm1.f64 (log1p.f64 (+.f64 x (cos.f64 y)))) (*.f64 z (sin.f64 y)))
32.8b
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (sqrt.f64 (*.f64 z (sin.f64 y)))))
0.9b
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 (*.f64 z (cbrt.f64 (pow.f64 (sin.f64 y) 2))) (cbrt.f64 (sin.f64 y))))
0.1b
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
0.4b
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 (*.f64 z (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 2) (cbrt.f64 (cbrt.f64 (sin.f64 y))))))
0.4b
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 (*.f64 z (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))) (log1p.f64 (expm1.f64 (cbrt.f64 (sin.f64 y))))))
1.1b
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 (*.f64 z (pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)) (cbrt.f64 (sin.f64 y))))
26.5b
(*.f64 (sqrt.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (sqrt.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
Compiler

Compiled 5684 to 1658 computations (70.8% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 z (sin.f64 y))
0.3b
(*.f64 (*.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (cbrt.f64 (*.f64 z (sin.f64 y)))) (cbrt.f64 (*.f64 z (sin.f64 y))))
0.5b
(*.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (cbrt.f64 (*.f64 z (sin.f64 y))))
6.4b
(cbrt.f64 (*.f64 z (sin.f64 y)))

series966.0ms (13.7%)

Counts
3 → 72
Calls

3 calls:

576.0ms
(*.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (cbrt.f64 (*.f64 z (sin.f64 y))))
369.0ms
(cbrt.f64 (*.f64 z (sin.f64 y)))
21.0ms
(*.f64 (*.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (cbrt.f64 (*.f64 z (sin.f64 y)))) (cbrt.f64 (*.f64 z (sin.f64 y))))

rewrite16.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
29×pow1_binary64
16×pow1/3_binary64
11×pow-prod-up_binary64
11×add-sqr-sqrt_binary64
10×add-exp-log_binary64
Counts
3 → 79
Calls

3 calls:

6.0ms
(*.f64 (*.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (cbrt.f64 (*.f64 z (sin.f64 y)))) (cbrt.f64 (*.f64 z (sin.f64 y))))
4.0ms
(*.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (cbrt.f64 (*.f64 z (sin.f64 y))))
2.0ms
(cbrt.f64 (*.f64 z (sin.f64 y)))

simplify120.0ms (1.7%)

Algorithm
egg-herbie
Rules
608×fma-neg_binary64
445×cancel-sign-sub-inv_binary64
352×*-commutative_binary64
346×fma-def_binary64
253×distribute-rgt-neg-in_binary64
Counts
151 → 134
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01692495
14102016
211691679
327331438
446591438
549811438
648911438

prune372.0ms (5.3%)

Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New2961297
Fresh167
Picked011
Done022
Total29710307
Error
0b
Counts
307 → 10
Alt Table
StatusErrorProgram
0.4b
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 (*.f64 z (*.f64 (*.f64 (cbrt.f64 (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))) (cbrt.f64 (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y))))) (cbrt.f64 (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))))) (cbrt.f64 (sin.f64 y))))
0.4b
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 (*.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) (cbrt.f64 (*.f64 z (sin.f64 y)))) (cbrt.f64 (*.f64 z (sin.f64 y)))))
32.9b
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (sqrt.f64 (*.f64 z (sin.f64 y)))) (cbrt.f64 (*.f64 z (sin.f64 y)))))
16.7b
(-.f64 (expm1.f64 (log1p.f64 (+.f64 x (cos.f64 y)))) (*.f64 z (sin.f64 y)))
0.9b
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 (*.f64 z (cbrt.f64 (pow.f64 (sin.f64 y) 2))) (cbrt.f64 (sin.f64 y))))
0.1b
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
0.4b
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 (*.f64 z (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 y))) 2) (cbrt.f64 (cbrt.f64 (sin.f64 y))))))
0.4b
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 (*.f64 z (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))) (log1p.f64 (expm1.f64 (cbrt.f64 (sin.f64 y))))))
1.1b
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 (*.f64 z (pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)) (cbrt.f64 (sin.f64 y))))
26.5b
(*.f64 (sqrt.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))) (sqrt.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))))
Compiler

Compiled 8389 to 2055 computations (75.5% saved)

regimes279.0ms (4%)

Accuracy

Total 0.0b remaining (69%)

Threshold costs 0.0b (69%)

Counts
67 → 1
Compiler

Compiled 5244 to 3114 computations (40.6% saved)

simplify2.0ms (0%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
*-commutative_binary64
sub-neg_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0914
11614
22614
33214
43614
53714
63714

end143.0ms (2%)

Compiler

Compiled 256 to 137 computations (46.5% saved)

Profiling

Loading profile data...