Details

Time bar (total: 6.3s)

analyze502.0ms (8%)

Algorithm
search
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0494336
1494336
022
122
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
25%74.9%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 13 to 12 computations (7.7% saved)

sample229.0ms (3.6%)

Algorithm
intervals
Results
149.0ms37×body512valid
24.0ms64×body1024valid
18.0ms79×body1024invalid
9.0ms149×body128valid
5.0ms30×body512invalid
5.0ms80×body128invalid
1.0ms12×body256invalid
1.0msbody256valid
Compiler

Compiled 25 to 25 computations (0% saved)

simplify120.0ms (1.9%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (115.0ms)

IterNodesCost
0528218

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112
Error
0.0b
Counts
2 → 1
Compiler

Compiled 22 to 20 computations (9.1% saved)

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite50.0ms (0.8%)

Algorithm
rewrite-expression-head
Error
0b
Rules
pow1_binary64_139 add-exp-log_binary64_116 add-cbrt-cube_binary64_114 *-un-lft-identity_binary64_78
add-log-exp_binary64_117 associate-*r*_binary64_18
pow-prod-down_binary64_149 prod-exp_binary64_127 add-cube-cbrt_binary64_113 cbrt-unprod_binary64_111 add-sqr-sqrt_binary64_100
flip3-+_binary64_81 associate-*r/_binary64_20 flip-+_binary64_52 distribute-lft-out_binary64_29
distribute-rgt-in_binary64_28 distribute-lft-in_binary64_27 associate-*l*_binary64_19 *-commutative_binary64_9 sum-log_binary64_169 +-commutative_binary64_8
Counts
2 → 35
Calls

2 calls:

10.0ms
(*.f64 (*.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
5.0ms
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
Compiler

Compiled 692 to 227 computations (67.2% saved)

series204.0ms (3.2%)

Error
0b
Counts
2 → 18
Calls

2 calls:

161.0ms
(*.f64 (*.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
23.0ms
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
Compiler

Compiled 772 to 545 computations (29.4% saved)

simplify78.0ms (1.2%)

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 0 (61.0ms)

IterNodesCost
049011008
149011008

prune43.0ms (0.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New51253
Fresh000
Picked101
Done000
Total52254
Error
0b
Counts
54 → 2
Compiler

Compiled 892 to 365 computations (59.1% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b
(*.f64 (/.f64 1/2 (exp.f64 im)) (sin.f64 re))
0.0b
(+.f64 (*.f64 (/.f64 1/2 (exp.f64 im)) (sin.f64 re)) (*.f64 (exp.f64 im) (*.f64 1/2 (sin.f64 re))))
0.0b
(/.f64 1/2 (exp.f64 im))
0.0b
(*.f64 (exp.f64 im) (*.f64 1/2 (sin.f64 re)))

rewrite126.0ms (2%)

Algorithm
rewrite-expression-head
Error
0b
Rules
26×add-sqr-sqrt_binary64_100
21×add-cube-cbrt_binary64_113 *-un-lft-identity_binary64_78
19×times-frac_binary64_84
16×add-cbrt-cube_binary64_114 associate-*l*_binary64_19
12×add-exp-log_binary64_116
11×pow1_binary64_139
add-log-exp_binary64_117
prod-exp_binary64_127 cbrt-unprod_binary64_111
pow-prod-down_binary64_149 associate-*r*_binary64_18
associate-/l*_binary64_23 associate-/r*_binary64_22
*-commutative_binary64_9 div-exp_binary64_129 cbrt-undiv_binary64_112 div-inv_binary64_75 unswap-sqr_binary64_46
frac-2neg_binary64_89 clear-num_binary64_77 sum-log_binary64_169 flip3-+_binary64_81 flip-+_binary64_52 +-commutative_binary64_8 associate-*l/_binary64_21
Counts
4 → 88
Calls

4 calls:

8.0ms
(*.f64 (exp.f64 im) (*.f64 1/2 (sin.f64 re)))
8.0ms
(+.f64 (*.f64 (/.f64 1/2 (exp.f64 im)) (sin.f64 re)) (*.f64 (exp.f64 im) (*.f64 1/2 (sin.f64 re))))
8.0ms
(*.f64 (/.f64 1/2 (exp.f64 im)) (sin.f64 re))
4.0ms
(/.f64 1/2 (exp.f64 im))
Compiler

Compiled 2033 to 1037 computations (49% saved)

series526.0ms (8.4%)

Error
0b
Counts
4 → 42
Calls

4 calls:

231.0ms
(+.f64 (*.f64 (/.f64 1/2 (exp.f64 im)) (sin.f64 re)) (*.f64 (exp.f64 im) (*.f64 1/2 (sin.f64 re))))
124.0ms
(*.f64 (/.f64 1/2 (exp.f64 im)) (sin.f64 re))
104.0ms
(*.f64 (exp.f64 im) (*.f64 1/2 (sin.f64 re)))
27.0ms
(/.f64 1/2 (exp.f64 im))
Compiler

Compiled 2054 to 1325 computations (35.5% saved)

simplify112.0ms (1.8%)

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 0 (85.0ms)

IterNodesCost
049392159
149392159

prune125.0ms (2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1300130
Fresh011
Picked011
Done000
Total1302132
Error
0b
Counts
132 → 2
Compiler

Compiled 2648 to 1337 computations (49.5% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (sin.f64 re) (*.f64 (sin.f64 re) (+.f64 (*.f64 1/2 (*.f64 im im)) (*.f64 1/24 (pow.f64 im 4)))))
0.0b
(+.f64 (*.f64 1/2 (*.f64 im im)) (*.f64 1/24 (pow.f64 im 4)))
0.1b
(*.f64 1/24 (pow.f64 im 4))
0.1b
(*.f64 (sin.f64 re) (+.f64 (*.f64 1/2 (*.f64 im im)) (*.f64 1/24 (pow.f64 im 4))))

rewrite120.0ms (1.9%)

Algorithm
rewrite-expression-head
Error
0b
Rules
16×add-sqr-sqrt_binary64_100
11×add-exp-log_binary64_116
10×associate-*r*_binary64_18
add-cube-cbrt_binary64_113 *-un-lft-identity_binary64_78
add-log-exp_binary64_117 add-cbrt-cube_binary64_114
pow1_binary64_139 associate-*l*_binary64_19
prod-exp_binary64_127 unswap-sqr_binary64_46 unpow-prod-down_binary64_157
flip3-+_binary64_81 flip-+_binary64_52
cbrt-unprod_binary64_111 distribute-rgt-in_binary64_28 distribute-lft-in_binary64_27 associate-*r/_binary64_20 *-commutative_binary64_9 sqr-pow_binary64_50 sum-log_binary64_169 +-commutative_binary64_8 associate-+r+_binary64_10
pow-prod-down_binary64_149 pow-to-exp_binary64_147 pow-exp_binary64_146
Counts
4 → 71
Calls

4 calls:

9.0ms
(*.f64 (sin.f64 re) (+.f64 (*.f64 1/2 (*.f64 im im)) (*.f64 1/24 (pow.f64 im 4))))
6.0ms
(+.f64 (*.f64 1/2 (*.f64 im im)) (*.f64 1/24 (pow.f64 im 4)))
5.0ms
(*.f64 1/24 (pow.f64 im 4))
4.0ms
(+.f64 (sin.f64 re) (*.f64 (sin.f64 re) (+.f64 (*.f64 1/2 (*.f64 im im)) (*.f64 1/24 (pow.f64 im 4)))))
Compiler

Compiled 1985 to 1177 computations (40.7% saved)

series677.0ms (10.8%)

Error
0b
Counts
4 → 34
Calls

4 calls:

332.0ms
(+.f64 (sin.f64 re) (*.f64 (sin.f64 re) (+.f64 (*.f64 1/2 (*.f64 im im)) (*.f64 1/24 (pow.f64 im 4)))))
196.0ms
(*.f64 (sin.f64 re) (+.f64 (*.f64 1/2 (*.f64 im im)) (*.f64 1/24 (pow.f64 im 4))))
83.0ms
(+.f64 (*.f64 1/2 (*.f64 im im)) (*.f64 1/24 (pow.f64 im 4)))
31.0ms
(*.f64 1/24 (pow.f64 im 4))
Compiler

Compiled 1756 to 1311 computations (25.3% saved)

simplify50.0ms (0.8%)

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 0 (26.0ms)

IterNodesCost
049462223
149462223

prune111.0ms (1.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1050105
Fresh000
Picked011
Done011
Total1052107
Error
0b
Counts
107 → 2
Compiler

Compiled 2373 to 1419 computations (40.2% saved)

regimes207.0ms (3.3%)

Accuracy

Total 0.0b remaining (38.4%)

Threshold costs 0.0b (38.4%)

Compiler

Compiled 1612 to 1372 computations (14.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02326
12326

end0.0ms (0%)

sample3.0s (47.2%)

Algorithm
intervals
Results
685.0ms1908×body1024valid
485.0ms2018×body1024invalid
281.0ms4577×body128valid
183.0ms979×body512valid
171.0ms977×body512invalid
152.0ms2547×body128invalid
62.0ms532×body256valid
57.0ms503×body256invalid
3.0msbody2048valid
Compiler

Compiled 284 to 241 computations (15.1% saved)

Profiling

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