Details

Time bar (total: 4.6s)

analyze114.0ms (2.5%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
50%50%0.1%3
50%50%0.1%4
62.4%37.5%0.1%5
62.4%31.2%6.3%6
68.7%21.9%9.5%7
68.7%17.2%14.1%8
71.8%11.7%16.5%9
71.8%9%19.2%10
73.4%6%20.6%11
73.4%4.6%22%12
74.1%3.1%22.8%13
74.1%2.3%23.5%14
Compiler

Compiled 9 to 7 computations (22.2% saved)

sample45.0ms (1%)

Algorithm
intervals
Results
16.0ms56×body2048valid
7.0ms42×body1024valid
4.0ms119×body128valid
2.0ms23×body512valid
1.0ms16×body256valid
0.0msbody128invalid
Compiler

Compiled 19 to 15 computations (21.1% saved)

simplify80.0ms (1.7%)

Algorithm
egg-herbie
Rules
571×fma-neg_binary64
455×*-commutative_binary64
440×unswap-sqr_binary64
344×associate-*l*_binary64
274×associate-+l+_binary64
Counts
1 → 2
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
076
1166
2236
3356
4706
51606
64326
715646
834906
949546
1049936
1148746

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
0.0b
Counts
3 → 1
Alt Table
StatusErrorProgram
0.0b
(expm1.f64 (*.f64 a x))
Compiler

Compiled 24 to 15 computations (37.5% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(expm1.f64 (*.f64 a x))

rewrite1.0ms (0%)

Algorithm
rewrite-expression-head
Rules
log1p-expm1-u_binary64
*-un-lft-identity_binary64
add-sqr-sqrt_binary64
add-cube-cbrt_binary64
add-cbrt-cube_binary64
Counts
1 → 11
Calls

1 calls:

1.0ms
(expm1.f64 (*.f64 a x))

series6.0ms (0.1%)

Counts
1 → 24
Calls

1 calls:

6.0ms
(expm1.f64 (*.f64 a x))

simplify77.0ms (1.7%)

Algorithm
egg-herbie
Rules
910×fma-def_binary64
844×distribute-lft-out_binary64
785×fma-neg_binary64
383×*-commutative_binary64
308×unswap-sqr_binary64
Counts
35 → 59
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
040382
196369
2262363
3966347
42376333
53696333
64842333
75375333

prune10.0ms (0.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New57259
Fresh000
Picked011
Done000
Total57360
Error
0.0b
Counts
60 → 3
Alt Table
StatusErrorProgram
0.0b
(expm1.f64 (*.f64 a x))
0.6b
(*.f64 (*.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) (cbrt.f64 (expm1.f64 (*.f64 a x)))) (cbrt.f64 (expm1.f64 (*.f64 a x))))
25.5b
(*.f64 a x)
Compiler

Compiled 275 to 127 computations (53.8% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) (cbrt.f64 (expm1.f64 (*.f64 a x))))
12.0b
(cbrt.f64 (expm1.f64 (*.f64 a x)))
12.0b
(cbrt.f64 (expm1.f64 (*.f64 a x)))
12.0b
(cbrt.f64 (expm1.f64 (*.f64 a x)))

rewrite8.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt_binary64
19×cbrt-prod_binary64
11×*-un-lft-identity_binary64
11×add-cube-cbrt_binary64
pow1_binary64
Counts
2 → 55
Calls

2 calls:

5.0ms
(*.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) (cbrt.f64 (expm1.f64 (*.f64 a x))))
1.0ms
(cbrt.f64 (expm1.f64 (*.f64 a x)))

series1.2s (25.9%)

Counts
2 → 48
Calls

2 calls:

629.0ms
(*.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) (cbrt.f64 (expm1.f64 (*.f64 a x))))
571.0ms
(cbrt.f64 (expm1.f64 (*.f64 a x)))

simplify139.0ms (3%)

Algorithm
egg-herbie
Rules
730×unswap-sqr_binary64
596×fma-def_binary64
471×*-commutative_binary64
316×log-prod_binary64
210×sqr-pow_binary64
Counts
103 → 195
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
01342098
13331941
29041569
320331429
437791227
544301221
649881221
749211221

prune80.0ms (1.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New3942396
Fresh011
Picked101
Done011
Total3954399
Error
0.0b
Counts
399 → 4
Alt Table
StatusErrorProgram
0.0b
(expm1.f64 (*.f64 a x))
35.8b
(*.f64 (*.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) (cbrt.f64 (expm1.f64 (*.f64 a x)))) (exp.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))))
1.8b
(*.f64 (exp.f64 (log.f64 (*.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) (cbrt.f64 (expm1.f64 (*.f64 a x)))))) (cbrt.f64 (expm1.f64 (*.f64 a x))))
25.5b
(*.f64 a x)
Compiler

Compiled 4313 to 1310 computations (69.6% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
2.8b
(exp.f64 (log.f64 (*.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) (cbrt.f64 (expm1.f64 (*.f64 a x))))))
12.0b
(cbrt.f64 (expm1.f64 (*.f64 a x)))
12.0b
(cbrt.f64 (expm1.f64 (*.f64 a x)))
12.0b
(cbrt.f64 (expm1.f64 (*.f64 a x)))

rewrite6.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
12×exp-prod_binary64
log-pow_binary64
pow1_binary64
pow1/3_binary64
*-un-lft-identity_binary64
Counts
1 → 23
Calls

1 calls:

4.0ms
(exp.f64 (log.f64 (*.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) (cbrt.f64 (expm1.f64 (*.f64 a x))))))

series1.3s (28.5%)

Counts
1 → 24
Calls

1 calls:

1.3s
(exp.f64 (log.f64 (*.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) (cbrt.f64 (expm1.f64 (*.f64 a x))))))

simplify81.0ms (1.8%)

Algorithm
egg-herbie
Rules
1014×fma-def_binary64
633×*-commutative_binary64
524×distribute-lft-out_binary64
414×unswap-sqr_binary64
268×associate-*l*_binary64
Counts
47 → 89
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0941015
1188889
2432696
31485622
43675530
55200530

prune89.0ms (1.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New196411965
Fresh022
Picked011
Done011
Total196451969
Error
0b
Counts
1969 → 5
Alt Table
StatusErrorProgram
0.0b
(expm1.f64 (*.f64 a x))
36.3b
(*.f64 (pow.f64 (exp.f64 2/3) (log.f64 (expm1.f64 (*.f64 a x)))) (cbrt.f64 (expm1.f64 (*.f64 a x))))
35.8b
(*.f64 (*.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) (cbrt.f64 (expm1.f64 (*.f64 a x)))) (exp.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))))
1.8b
(*.f64 (exp.f64 (log.f64 (*.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) (cbrt.f64 (expm1.f64 (*.f64 a x)))))) (cbrt.f64 (expm1.f64 (*.f64 a x))))
25.5b
(*.f64 a x)
Compiler

Compiled 4040 to 1418 computations (64.9% saved)

localize2.0ms (0%)

rewrite0.0ms (0%)

Algorithm
rewrite-expression-head
Counts
0 → 0

series0.0ms (0%)

Counts
0 → 0

simplify9.0ms (0.2%)

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
100

prune3.0ms (0.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New000
Fresh022
Picked011
Done022
Total055
Error
0b
Counts
5 → 5
Alt Table
StatusErrorProgram
0.0b
(expm1.f64 (*.f64 a x))
36.3b
(*.f64 (pow.f64 (exp.f64 2/3) (log.f64 (expm1.f64 (*.f64 a x)))) (cbrt.f64 (expm1.f64 (*.f64 a x))))
35.8b
(*.f64 (*.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) (cbrt.f64 (expm1.f64 (*.f64 a x)))) (exp.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))))))
1.8b
(*.f64 (exp.f64 (log.f64 (*.f64 (cbrt.f64 (expm1.f64 (*.f64 a x))) (cbrt.f64 (expm1.f64 (*.f64 a x)))))) (cbrt.f64 (expm1.f64 (*.f64 a x))))
25.5b
(*.f64 a x)
Compiler

Compiled 69 to 35 computations (49.3% saved)

regimes60.0ms (1.3%)

Accuracy

Total 0.0b remaining (16.1%)

Threshold costs 0.0b (16.1%)

Compiler

Compiled 1130 to 619 computations (45.2% saved)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056
166
266

end6.0ms (0.1%)

Remove

(sort a x)

Compiler

Compiled 18 to 12 computations (33.3% saved)

sample1.3s (27.3%)

Algorithm
intervals
Results
456.0ms1480×body2048valid
262.0ms1643×body1024valid
109.0ms1117×body512valid
96.0ms3110×body128valid
42.0ms650×body256valid
4.0ms141×body128invalid
Compiler

Compiled 86 to 48 computations (44.2% saved)

Profiling

Loading profile data...