Details

Time bar (total: 9.1s)

analyze559.0ms (6.1%)

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
12.5%87.4%0.1%4
62.4%37.5%0.1%5
62.4%37.5%0.1%6
62.4%31.2%6.3%7
62.4%31.2%6.3%8
62.4%28.1%9.5%9
62.4%28.1%9.5%10
62.4%26.5%11%11
62.4%26.5%11%12
62.4%25.8%11.8%13
62.4%25.8%11.8%14
Compiler

Compiled 14 to 11 computations (21.4% saved)

sample170.0ms (1.9%)

Algorithm
intervals
Results
78.0ms134×body1024valid
24.0ms64×body1024invalid
17.0ms66×body512valid
10.0ms12×body2048valid
8.0ms32×body512invalid
6.0ms76×body128invalid
5.0ms32×body256valid
4.0ms23×body256invalid
1.0ms12×body128valid
Compiler

Compiled 29 to 23 computations (20.7% saved)

simplify125.0ms (1.4%)

Algorithm
egg-herbie
Rules
454×fma-def_binary64
444×times-frac_binary64
419×sub-neg_binary64
365×distribute-rgt-neg-in_binary64
340×fma-neg_binary64
Counts
1 → 1
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01118
12318
24918
310618
422517
544917
696217
7171317
8358817
9428217
10477317
11492317
12495717
13474817

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112
Error
46.0b
Counts
2 → 1
Alt Table
StatusErrorProgram
46.0b
(*.f64 (*.f64 1/2 (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
Compiler

Compiled 39 to 29 computations (25.6% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 (*.f64 1/2 (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
5.7b
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

rewrite128.0ms (1.4%)

Algorithm
rewrite-expression-head
Error
46.0b
Rules
36×add-cube-cbrt_binary64
20×pow1_binary64
14×add-sqr-sqrt_binary64
12×prod-diff_binary64
10×pow-prod-down_binary64
Counts
2 → 95
Calls

2 calls:

20.0ms
(*.f64 (*.f64 1/2 (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
16.0ms
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
Compiler

Compiled 2624 to 593 computations (77.4% saved)

series33.0ms (0.4%)

Error
0.1b
Counts
2 → 11
Calls

2 calls:

18.0ms
(*.f64 (*.f64 1/2 (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
7.0ms
(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
Compiler

Compiled 411 to 293 computations (28.7% saved)

simplify126.0ms (1.4%)

Algorithm
egg-herbie
Rules
583×fma-def_binary64
483×distribute-rgt-in_binary64
355×cancel-sign-sub-inv_binary64
243×fma-neg_binary64
212×distribute-rgt-neg-in_binary64
Counts
106 → 61
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01521891
14001680
216611589
343261589
449691589
548701589

prune60.0ms (0.7%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New60161
Fresh000
Picked101
Done000
Total61162
Error
0.2b
Counts
62 → 1
Alt Table
StatusErrorProgram
0.2b
(*.f64 (sin.f64 re) (-.f64 (neg.f64 im) (*.f64 1/6 (pow.f64 im 3))))
Compiler

Compiled 940 to 479 computations (49% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.1b
(*.f64 1/6 (pow.f64 im 3))
0.2b
(*.f64 (sin.f64 re) (-.f64 (neg.f64 im) (*.f64 1/6 (pow.f64 im 3))))

rewrite107.0ms (1.2%)

Algorithm
rewrite-expression-head
Error
0.1b
Rules
18×add-cube-cbrt_binary64
16×pow1_binary64
16×add-sqr-sqrt_binary64
10×add-exp-log_binary64
10×add-cbrt-cube_binary64
Counts
2 → 84
Calls

2 calls:

20.0ms
(*.f64 (sin.f64 re) (-.f64 (neg.f64 im) (*.f64 1/6 (pow.f64 im 3))))
13.0ms
(*.f64 1/6 (pow.f64 im 3))
Compiler

Compiled 1702 to 1044 computations (38.7% saved)

series48.0ms (0.5%)

Error
0.1b
Counts
2 → 15
Calls

2 calls:

35.0ms
(*.f64 (sin.f64 re) (-.f64 (neg.f64 im) (*.f64 1/6 (pow.f64 im 3))))
5.0ms
(*.f64 1/6 (pow.f64 im 3))
Compiler

Compiled 623 to 457 computations (26.6% saved)

simplify91.0ms (1%)

Algorithm
egg-herbie
Rules
496×cancel-sign-sub-inv_binary64
306×exp-prod_binary64
281×fma-neg_binary64
257×distribute-rgt-neg-in_binary64
250×unswap-sqr_binary64
Counts
99 → 58
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01751674
14921402
218531346
341291334
449111334

prune48.0ms (0.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New52658
Fresh000
Picked011
Done000
Total52759
Error
0.1b
Counts
59 → 7
Alt Table
StatusErrorProgram
40.5b
(/.f64 (sin.f64 re) (/.f64 (fma.f64 im im (fma.f64 1/36 (pow.f64 im 6) (*.f64 1/6 (neg.f64 (pow.f64 im 4))))) (-.f64 (*.f64 (pow.f64 (pow.f64 im 3) 3) -1/216) (pow.f64 im 3))))
38.8b
(/.f64 (pow.f64 (neg.f64 (*.f64 (fma.f64 1/6 (pow.f64 im 3) im) (sin.f64 re))) 2) (neg.f64 (*.f64 (fma.f64 1/6 (pow.f64 im 3) im) (sin.f64 re))))
1.2b
(*.f64 (*.f64 (sin.f64 re) (*.f64 (cbrt.f64 (neg.f64 (fma.f64 1/6 (pow.f64 im 3) im))) (cbrt.f64 (neg.f64 (fma.f64 1/6 (pow.f64 im 3) im))))) (cbrt.f64 (-.f64 (neg.f64 im) (*.f64 1/6 (pow.f64 im 3)))))
50.6b
(/.f64 (*.f64 (pow.f64 (sin.f64 re) 3) (+.f64 (pow.f64 (neg.f64 (fma.f64 1/6 (pow.f64 im 3) im)) 3) 0)) (pow.f64 (neg.f64 (*.f64 (fma.f64 1/6 (pow.f64 im 3) im) (sin.f64 re))) 2))
1.0b
(*.f64 (*.f64 (cbrt.f64 (sin.f64 re)) (cbrt.f64 (sin.f64 re))) (*.f64 (neg.f64 (fma.f64 1/6 (pow.f64 im 3) im)) (cbrt.f64 (sin.f64 re))))
0.2b
(*.f64 (sin.f64 re) (-.f64 (neg.f64 im) (*.f64 1/6 (pow.f64 im 3))))
25.4b
(*.f64 (cbrt.f64 (pow.f64 (neg.f64 (*.f64 (fma.f64 1/6 (pow.f64 im 3) im) (sin.f64 re))) 2)) (cbrt.f64 (neg.f64 (*.f64 (fma.f64 1/6 (pow.f64 im 3) im) (sin.f64 re)))))
Compiler

Compiled 1141 to 798 computations (30.1% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b
(*.f64 (cbrt.f64 (sin.f64 re)) (cbrt.f64 (sin.f64 re)))
0.6b
(cbrt.f64 (sin.f64 re))
0.6b
(cbrt.f64 (sin.f64 re))
0.6b
(cbrt.f64 (sin.f64 re))

rewrite138.0ms (1.5%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
28×add-cube-cbrt_binary64
27×pow1/3_binary64
17×add-sqr-sqrt_binary64
12×add-exp-log_binary64
12×log1p-expm1-u_binary64
Counts
4 → 132
Calls

4 calls:

16.0ms
(*.f64 (cbrt.f64 (sin.f64 re)) (cbrt.f64 (sin.f64 re)))
11.0ms
(cbrt.f64 (sin.f64 re))
10.0ms
(cbrt.f64 (sin.f64 re))
10.0ms
(cbrt.f64 (sin.f64 re))
Compiler

Compiled 2131 to 837 computations (60.7% saved)

series74.0ms (0.8%)

Error
0.1b
Counts
4 → 24
Calls

4 calls:

17.0ms
(*.f64 (cbrt.f64 (sin.f64 re)) (cbrt.f64 (sin.f64 re)))
14.0ms
(cbrt.f64 (sin.f64 re))
13.0ms
(cbrt.f64 (sin.f64 re))
13.0ms
(cbrt.f64 (sin.f64 re))
Compiler

Compiled 1432 to 997 computations (30.4% saved)

simplify100.0ms (1.1%)

Algorithm
egg-herbie
Rules
742×log-prod_binary64
674×fma-neg_binary64
495×fma-def_binary64
351×*-commutative_binary64
248×cancel-sign-sub-inv_binary64
Counts
156 → 82
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0951200
12241114
25161078
314541061
43336935
54642935
65102935

prune64.0ms (0.7%)

Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New75782
Fresh055
Picked101
Done011
Total761389
Error
0.0b
Counts
89 → 13
Alt Table
StatusErrorProgram
36.8b
(*.f64 (-.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 re) 2/3))) 1) (*.f64 (neg.f64 (fma.f64 1/6 (pow.f64 im 3) im)) (cbrt.f64 (sin.f64 re))))
0.2b
(*.f64 (sin.f64 re) (-.f64 (neg.f64 im) (*.f64 1/6 (pow.f64 im 3))))
40.5b
(/.f64 (sin.f64 re) (/.f64 (fma.f64 im im (fma.f64 1/36 (pow.f64 im 6) (*.f64 1/6 (neg.f64 (pow.f64 im 4))))) (-.f64 (*.f64 (pow.f64 (pow.f64 im 3) 3) -1/216) (pow.f64 im 3))))
38.8b
(/.f64 (pow.f64 (neg.f64 (*.f64 (fma.f64 1/6 (pow.f64 im 3) im) (sin.f64 re))) 2) (neg.f64 (*.f64 (fma.f64 1/6 (pow.f64 im 3) im) (sin.f64 re))))
1.7b
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 re))) 5) (cbrt.f64 (cbrt.f64 (sin.f64 re)))) (*.f64 (neg.f64 (fma.f64 1/6 (pow.f64 im 3) im)) (cbrt.f64 (sin.f64 re))))
12.7b
(*.f64 (*.f64 (cbrt.f64 (sin.f64 re)) (cbrt.f64 (sin.f64 re))) (*.f64 (neg.f64 (fma.f64 1/6 (pow.f64 im 3) im)) (log.f64 (+.f64 (expm1.f64 (cbrt.f64 (sin.f64 re))) 1))))
1.7b
(*.f64 (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (sin.f64 re))) (cbrt.f64 (cbrt.f64 (sin.f64 re)))) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 re))) 4)) (*.f64 (neg.f64 (fma.f64 1/6 (pow.f64 im 3) im)) (cbrt.f64 (sin.f64 re))))
1.2b
(*.f64 (*.f64 (sin.f64 re) (*.f64 (cbrt.f64 (neg.f64 (fma.f64 1/6 (pow.f64 im 3) im))) (cbrt.f64 (neg.f64 (fma.f64 1/6 (pow.f64 im 3) im))))) (cbrt.f64 (-.f64 (neg.f64 im) (*.f64 1/6 (pow.f64 im 3)))))
50.6b
(/.f64 (*.f64 (pow.f64 (sin.f64 re) 3) (+.f64 (pow.f64 (neg.f64 (fma.f64 1/6 (pow.f64 im 3) im)) 3) 0)) (pow.f64 (neg.f64 (*.f64 (fma.f64 1/6 (pow.f64 im 3) im) (sin.f64 re))) 2))
30.6b
(*.f64 (sqrt.f64 (pow.f64 (sin.f64 re) 4/3)) (*.f64 (neg.f64 (fma.f64 1/6 (pow.f64 im 3) im)) (cbrt.f64 (sin.f64 re))))
30.7b
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 re) 4/3)) (cbrt.f64 (pow.f64 (sin.f64 re) 2/3))) (*.f64 (neg.f64 (fma.f64 1/6 (pow.f64 im 3) im)) (cbrt.f64 (sin.f64 re))))
3.8b
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 re) 2)) (*.f64 (neg.f64 (fma.f64 1/6 (pow.f64 im 3) im)) (cbrt.f64 (sin.f64 re))))
25.4b
(*.f64 (cbrt.f64 (pow.f64 (neg.f64 (*.f64 (fma.f64 1/6 (pow.f64 im 3) im) (sin.f64 re))) 2)) (cbrt.f64 (neg.f64 (*.f64 (fma.f64 1/6 (pow.f64 im 3) im) (sin.f64 re)))))
Compiler

Compiled 1850 to 1096 computations (40.8% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b
(*.f64 (cbrt.f64 (neg.f64 (fma.f64 1/6 (pow.f64 im 3) im))) (cbrt.f64 (neg.f64 (fma.f64 1/6 (pow.f64 im 3) im))))
0.7b
(cbrt.f64 (-.f64 (neg.f64 im) (*.f64 1/6 (pow.f64 im 3))))
0.7b
(cbrt.f64 (neg.f64 (fma.f64 1/6 (pow.f64 im 3) im)))
0.7b
(cbrt.f64 (neg.f64 (fma.f64 1/6 (pow.f64 im 3) im)))

rewrite185.0ms (2%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
28×add-cube-cbrt_binary64
27×pow1/3_binary64
17×add-sqr-sqrt_binary64
12×add-exp-log_binary64
12×log1p-expm1-u_binary64
Counts
4 → 137
Calls

4 calls:

15.0ms
(*.f64 (cbrt.f64 (neg.f64 (fma.f64 1/6 (pow.f64 im 3) im))) (cbrt.f64 (neg.f64 (fma.f64 1/6 (pow.f64 im 3) im))))
12.0ms
(cbrt.f64 (-.f64 (neg.f64 im) (*.f64 1/6 (pow.f64 im 3))))
11.0ms
(cbrt.f64 (neg.f64 (fma.f64 1/6 (pow.f64 im 3) im)))
10.0ms
(cbrt.f64 (neg.f64 (fma.f64 1/6 (pow.f64 im 3) im)))
Compiler

Compiled 3715 to 2704 computations (27.2% saved)

series105.0ms (1.1%)

Error
0.0b
Counts
4 → 15
Calls

4 calls:

40.0ms
(*.f64 (cbrt.f64 (neg.f64 (fma.f64 1/6 (pow.f64 im 3) im))) (cbrt.f64 (neg.f64 (fma.f64 1/6 (pow.f64 im 3) im))))
17.0ms
(cbrt.f64 (neg.f64 (fma.f64 1/6 (pow.f64 im 3) im)))
17.0ms
(cbrt.f64 (neg.f64 (fma.f64 1/6 (pow.f64 im 3) im)))
16.0ms
(cbrt.f64 (-.f64 (neg.f64 im) (*.f64 1/6 (pow.f64 im 3))))
Compiler

Compiled 1777 to 1495 computations (15.9% saved)

simplify95.0ms (1%)

Algorithm
egg-herbie
Rules
706×associate-*l*_binary64
528×div-sub_binary64
452×fma-neg_binary64
282×times-frac_binary64
207×fma-def_binary64
Counts
152 → 76
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01422339
13342000
29251890
337951820
458031820

prune82.0ms (0.9%)

Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New75176
Fresh2911
Picked011
Done011
Total771289
Error
0.0b
Counts
89 → 12
Alt Table
StatusErrorProgram
36.8b
(*.f64 (-.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 re) 2/3))) 1) (*.f64 (neg.f64 (fma.f64 1/6 (pow.f64 im 3) im)) (cbrt.f64 (sin.f64 re))))
0.2b
(*.f64 (sin.f64 re) (-.f64 (neg.f64 im) (*.f64 1/6 (pow.f64 im 3))))
40.5b
(/.f64 (sin.f64 re) (/.f64 (fma.f64 im im (fma.f64 1/36 (pow.f64 im 6) (*.f64 1/6 (neg.f64 (pow.f64 im 4))))) (-.f64 (*.f64 (pow.f64 (pow.f64 im 3) 3) -1/216) (pow.f64 im 3))))
38.8b
(/.f64 (pow.f64 (neg.f64 (*.f64 (fma.f64 1/6 (pow.f64 im 3) im) (sin.f64 re))) 2) (neg.f64 (*.f64 (fma.f64 1/6 (pow.f64 im 3) im) (sin.f64 re))))
1.7b
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 re))) 5) (cbrt.f64 (cbrt.f64 (sin.f64 re)))) (*.f64 (neg.f64 (fma.f64 1/6 (pow.f64 im 3) im)) (cbrt.f64 (sin.f64 re))))
12.7b
(*.f64 (*.f64 (cbrt.f64 (sin.f64 re)) (cbrt.f64 (sin.f64 re))) (*.f64 (neg.f64 (fma.f64 1/6 (pow.f64 im 3) im)) (log.f64 (+.f64 (expm1.f64 (cbrt.f64 (sin.f64 re))) 1))))
1.7b
(*.f64 (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (sin.f64 re))) (cbrt.f64 (cbrt.f64 (sin.f64 re)))) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 re))) 4)) (*.f64 (neg.f64 (fma.f64 1/6 (pow.f64 im 3) im)) (cbrt.f64 (sin.f64 re))))
1.2b
(*.f64 (*.f64 (sin.f64 re) (*.f64 (cbrt.f64 (neg.f64 (fma.f64 1/6 (pow.f64 im 3) im))) (cbrt.f64 (neg.f64 (fma.f64 1/6 (pow.f64 im 3) im))))) (cbrt.f64 (-.f64 (neg.f64 im) (*.f64 1/6 (pow.f64 im 3)))))
30.6b
(*.f64 (sqrt.f64 (pow.f64 (sin.f64 re) 4/3)) (*.f64 (neg.f64 (fma.f64 1/6 (pow.f64 im 3) im)) (cbrt.f64 (sin.f64 re))))
30.7b
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 re) 4/3)) (cbrt.f64 (pow.f64 (sin.f64 re) 2/3))) (*.f64 (neg.f64 (fma.f64 1/6 (pow.f64 im 3) im)) (cbrt.f64 (sin.f64 re))))
3.8b
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 re) 2)) (*.f64 (neg.f64 (fma.f64 1/6 (pow.f64 im 3) im)) (cbrt.f64 (sin.f64 re))))
1.4b
(*.f64 (*.f64 (sin.f64 re) (*.f64 (cbrt.f64 (neg.f64 (fma.f64 1/6 (pow.f64 im 3) im))) (cbrt.f64 (neg.f64 (fma.f64 1/6 (pow.f64 im 3) im))))) (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (neg.f64 (fma.f64 1/6 (pow.f64 im 3) im)))) (cbrt.f64 (cbrt.f64 (neg.f64 (fma.f64 1/6 (pow.f64 im 3) im))))) (cbrt.f64 (cbrt.f64 (neg.f64 (fma.f64 1/6 (pow.f64 im 3) im))))))
Compiler

Compiled 2280 to 1674 computations (26.6% saved)

regimes1.2s (13.2%)

Accuracy

Total 0.1b remaining (10.9%)

Threshold costs 0.1b (10.9%)

Compiler

Compiled 22223 to 15149 computations (31.8% saved)

simplify4.0ms (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
01015
11715
22415
33015
43315
53415
63415

end1.0ms (0%)

Compiler

Compiled 12 to 9 computations (25% saved)

sample5.5s (60.6%)

Algorithm
intervals
Results
2.4s4046×body1024valid
772.0ms1935×body1024invalid
579.0ms2103×body512valid
247.0ms1000×body512invalid
220.0ms2552×body128invalid
191.0ms232×body2048valid
183.0ms1018×body256valid
110.0ms601×body128valid
83.0ms499×body256invalid
Compiler

Compiled 346 to 250 computations (27.7% saved)

Profiling

Loading profile data...