Details

Time bar (total: 1.5s)

analyze15.0ms (1%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
50%50%0%2
75%25%0%3
87.5%12.5%0%4
93.7%6.2%0%5
96.8%3.1%0%6
98.4%1.6%0%7
99.2%0.8%0%8
99.6%0.4%0%9
99.8%0.2%0%10
99.9%0.1%0%11
99.9%0%0%12
99.9%0%0%13
99.9%0%0%14
Compiler

Compiled 7 to 6 computations (14.3% saved)

sample11.0ms (0.7%)

Algorithm
1×intervals
Results
5.0ms256×body128valid
Compiler

Compiled 14 to 12 computations (14.3% saved)

simplify6.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
1×+-commutative_binary64
1×1-exp_binary64
Counts
1 → 2
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
074
1104
284

prune3.0ms (0.2%)

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
(+.f64 x 1/3)
Compiler

Compiled 17 to 13 computations (23.5% saved)

localize2.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 x 1/3)

series2.0ms (0.1%)

Counts
1 → 12
Calls

1 calls:

2.0ms
(+.f64 x 1/3)

rewrite7.0ms (0.5%)

Algorithm
1×rewrite-expression-head
Rules
4×*-un-lft-identity_binary64
3×add-log-exp_binary64
3×fma-def_binary64
2×add-sqr-sqrt_binary64
2×add-cube-cbrt_binary64
Counts
1 → 17
Calls

1 calls:

3.0ms
(+.f64 x 1/3)

simplify83.0ms (5.7%)

Algorithm
1×egg-herbie
Rules
482×fma-def_binary64
459×neg-mul-1_binary64
410×neg-sub0_binary64
374×unswap-sqr_binary64
336×distribute-lft-out_binary64
Counts
29 → 28
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
030148
169139
2120137
3242136
4533136
51263136
61920136
73477136
84449136
94948136

prune28.0ms (1.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New24428
Fresh000
Picked011
Done000
Total24529
Error
0b
Counts
29 → 5
Alt Table
StatusErrorProgram
▶12.5b
(*.f64 (sqrt.f64 (+.f64 x 1/3)) (sqrt.f64 (+.f64 x 1/3)))
29.6b
(log.f64 (exp.f64 (+.f64 1/3 x)))
13.8b
(expm1.f64 (log1p.f64 (+.f64 x 1/3)))
✓0.0b
(+.f64 x 1/3)
21.6b
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 1/3 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 1/3 1/3) (*.f64 x 1/3))))
Compiler

Compiled 288 to 220 computations (23.6% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(+.f64 x 1/3)
✓0.2b
(*.f64 (sqrt.f64 (+.f64 x 1/3)) (sqrt.f64 (+.f64 x 1/3)))

series2.0ms (0.1%)

Counts
1 → 12
Calls

1 calls:

1.0ms
(*.f64 (sqrt.f64 (+.f64 x 1/3)) (sqrt.f64 (+.f64 x 1/3)))

rewrite16.0ms (1.1%)

Algorithm
1×rewrite-expression-head
Rules
26×sqrt-prod_binary64
25×add-sqr-sqrt_binary64
23×*-un-lft-identity_binary64
16×pow1_binary64
12×sqrt-div_binary64
Counts
1 → 66
Calls

1 calls:

9.0ms
(*.f64 (sqrt.f64 (+.f64 x 1/3)) (sqrt.f64 (+.f64 x 1/3)))

simplify92.0ms (6.3%)

Algorithm
1×egg-herbie
Rules
470×unswap-sqr_binary64
428×associate-*r/_binary64
397×*-commutative_binary64
390×associate-*l/_binary64
328×distribute-rgt-in_binary64
Counts
78 → 78
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
078684
1130646
2321627
3834589
42067589
52509589
64389575
75121575

prune87.0ms (5.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1340134
Fresh033
Picked011
Done011
Total1345139
Error
0b
Counts
139 → 5
Alt Table
StatusErrorProgram
✓12.5b
(*.f64 (sqrt.f64 (+.f64 x 1/3)) (sqrt.f64 (+.f64 x 1/3)))
29.6b
(log.f64 (exp.f64 (+.f64 1/3 x)))
▶13.8b
(expm1.f64 (log1p.f64 (+.f64 x 1/3)))
✓0.0b
(+.f64 x 1/3)
21.6b
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 1/3 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 1/3 1/3) (*.f64 x 1/3))))
Compiler

Compiled 1907 to 1508 computations (20.9% saved)

localize5.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(log1p.f64 (+.f64 x 1/3))
0.0b
(+.f64 x 1/3)
✓1.7b
(expm1.f64 (log1p.f64 (+.f64 x 1/3)))

series4.0ms (0.3%)

Counts
2 → 24
Calls

2 calls:

3.0ms
(log1p.f64 (+.f64 x 1/3))
2.0ms
(expm1.f64 (log1p.f64 (+.f64 x 1/3)))

rewrite1.0ms (0.1%)

Algorithm
1×rewrite-expression-head
Rules
3×expm1-log1p-u_binary64
2×*-un-lft-identity_binary64
2×add-sqr-sqrt_binary64
2×add-cube-cbrt_binary64
2×add-cbrt-cube_binary64
Counts
2 → 22
Calls

2 calls:

0.0ms
(log1p.f64 (+.f64 x 1/3))
0.0ms
(expm1.f64 (log1p.f64 (+.f64 x 1/3)))

simplify62.0ms (4.3%)

Algorithm
1×egg-herbie
Rules
678×fma-neg_binary64
514×cancel-sign-sub-inv_binary64
492×fma-def_binary64
432×sub-neg_binary64
419×times-frac_binary64
Counts
46 → 60
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
070407
1158358
2399352
3957348
42832348
54401348
65060348

prune44.0ms (3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New88088
Fresh022
Picked011
Done022
Total88593
Error
0b
Counts
93 → 5
Alt Table
StatusErrorProgram
✓12.5b
(*.f64 (sqrt.f64 (+.f64 x 1/3)) (sqrt.f64 (+.f64 x 1/3)))
29.6b
(log.f64 (exp.f64 (+.f64 1/3 x)))
✓13.8b
(expm1.f64 (log1p.f64 (+.f64 x 1/3)))
✓0.0b
(+.f64 x 1/3)
▶21.6b
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 1/3 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 1/3 1/3) (*.f64 x 1/3))))
Compiler

Compiled 913 to 742 computations (18.7% saved)

localize10.0ms (0.7%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (*.f64 1/3 1/3) (*.f64 x 1/3))
✓0.3b
(*.f64 x 1/3)
✓1.0b
(pow.f64 1/3 3)
✓20.3b
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 1/3 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 1/3 1/3) (*.f64 x 1/3))))

series6.0ms (0.4%)

Counts
4 → 36
Calls

4 calls:

3.0ms
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 1/3 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 1/3 1/3) (*.f64 x 1/3))))
2.0ms
(-.f64 (*.f64 1/3 1/3) (*.f64 x 1/3))
1.0ms
(*.f64 x 1/3)
0.0ms
(pow.f64 1/3 3)

rewrite45.0ms (3.1%)

Algorithm
1×rewrite-expression-head
Rules
63×*-un-lft-identity_binary64
27×times-frac_binary64
25×add-sqr-sqrt_binary64
23×add-cube-cbrt_binary64
20×distribute-lft-out_binary64
Counts
4 → 119
Calls

4 calls:

19.0ms
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 1/3 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 1/3 1/3) (*.f64 x 1/3))))
7.0ms
(*.f64 x 1/3)
6.0ms
(-.f64 (*.f64 1/3 1/3) (*.f64 x 1/3))
3.0ms
(pow.f64 1/3 3)

simplify168.0ms (11.4%)

Algorithm
1×egg-herbie
Rules
782×times-frac_binary64
414×associate-*l*_binary64
386×fma-def_binary64
329×associate-*r*_binary64
270×distribute-rgt-in_binary64
Counts
155 → 175
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01722451
13562353
210172122
334492120
448532120

prune155.0ms (10.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1741175
Fresh101
Picked101
Done123
Total1773180
Error
0b
Counts
180 → 3
Alt Table
StatusErrorProgram
✓12.5b
(*.f64 (sqrt.f64 (+.f64 x 1/3)) (sqrt.f64 (+.f64 x 1/3)))
✓0.0b
(+.f64 x 1/3)
21.1b
(/.f64 (-.f64 -1/27 (pow.f64 x 3)) (+.f64 -1/9 (*.f64 x (-.f64 1/3 x))))
Compiler

Compiled 4604 to 3455 computations (25% saved)

regimes32.0ms (2.2%)

Accuracy

Total 0.0b remaining (84.3%)

Threshold costs 0.0b (84.3%)

Counts
17 → 1
Compiler

Compiled 324 to 264 computations (18.5% saved)

simplify2.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
1×+-commutative_binary64
1×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
074
1104
284

end0.0ms (0%)

Compiler

Compiled 4 to 3 computations (25% saved)

sample577.0ms (39.2%)

Algorithm
1×intervals
Results
303.0ms8000×body128valid
Compiler

Compiled 40 to 32 computations (20% saved)

Profiling

Loading profile data...