Details

Time bar (total: 957.0ms)

analyze22.0ms (2.3%)

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)

sample21.0ms (2.2%)

Algorithm
1×intervals
Results
9.0ms256×body128valid
Compiler

Compiled 14 to 12 computations (14.3% saved)

simplify12.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
1×+-commutative_binary64
1×sub-neg_binary64
1×1-exp_binary64
Counts
1 → 2
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
074
1124
2134
3104

prune3.0ms (0.3%)

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 (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 x 1/3)

series1.0ms (0.1%)

Counts
1 → 3
Calls

1 calls:

1.0ms
(-.f64 x 1/3)

rewrite4.0ms (0.5%)

Algorithm
1×rewrite-expression-head
Rules
11×*-un-lft-identity_binary64
11×add-sqr-sqrt_binary64
9×prod-diff_binary64
9×add-cube-cbrt_binary64
3×cancel-sign-sub-inv_binary64
Counts
1 → 30
Calls

1 calls:

3.0ms
(-.f64 x 1/3)

simplify67.0ms (7%)

Algorithm
1×egg-herbie
Rules
979×fma-def_binary64
624×unswap-sqr_binary64
419×distribute-rgt-in_binary64
387×*-commutative_binary64
384×distribute-lft-in_binary64
Counts
33 → 47
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
065280
1106169
2149169
3334168
4890168
52382168
62527168
73602168
85344168

prune22.0ms (2.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New46147
Fresh000
Picked011
Done000
Total46248
Error
0.0b
Counts
48 → 2
Alt Table
StatusErrorProgram
✓0.0b
(-.f64 x 1/3)
▶30.9b
(log.f64 (exp.f64 (+.f64 -1/3 x)))
Compiler

Compiled 513 to 398 computations (22.4% saved)

localize6.0ms (0.6%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 -1/3 x)
✓0.3b
(log.f64 (exp.f64 (+.f64 -1/3 x)))

series3.0ms (0.3%)

Counts
2 → 24
Calls

2 calls:

2.0ms
(log.f64 (exp.f64 (+.f64 -1/3 x)))
1.0ms
(+.f64 -1/3 x)

rewrite6.0ms (0.7%)

Algorithm
1×rewrite-expression-head
Rules
9×*-un-lft-identity_binary64
5×add-sqr-sqrt_binary64
5×add-cube-cbrt_binary64
5×log-pow_binary64
4×add-log-exp_binary64
Counts
2 → 36
Calls

2 calls:

3.0ms
(log.f64 (exp.f64 (+.f64 -1/3 x)))
2.0ms
(+.f64 -1/3 x)

simplify100.0ms (10.5%)

Algorithm
1×egg-herbie
Rules
681×fma-neg_binary64
489×fma-def_binary64
458×unswap-sqr_binary64
327×distribute-lft-out_binary64
293×distribute-rgt-in_binary64
Counts
60 → 43
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
058343
196316
2158316
3302316
4618316
51445316
62158316
73469316
84995316
94985316
104911316

prune20.0ms (2.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New42143
Fresh000
Picked101
Done011
Total43245
Error
0b
Counts
45 → 2
Alt Table
StatusErrorProgram
▶30.9b
(cbrt.f64 (*.f64 (*.f64 (log.f64 (exp.f64 (+.f64 -1/3 x))) (log.f64 (exp.f64 (+.f64 -1/3 x)))) (log.f64 (exp.f64 (+.f64 -1/3 x)))))
✓0.0b
(-.f64 x 1/3)
Compiler

Compiled 436 to 356 computations (18.3% saved)

localize7.0ms (0.8%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 -1/3 x)
✓0.0b
(*.f64 (*.f64 (log.f64 (exp.f64 (+.f64 -1/3 x))) (log.f64 (exp.f64 (+.f64 -1/3 x)))) (log.f64 (exp.f64 (+.f64 -1/3 x))))
✓0.0b
(cbrt.f64 (*.f64 (*.f64 (log.f64 (exp.f64 (+.f64 -1/3 x))) (log.f64 (exp.f64 (+.f64 -1/3 x)))) (log.f64 (exp.f64 (+.f64 -1/3 x)))))
0.3b
(log.f64 (exp.f64 (+.f64 -1/3 x)))

series10.0ms (1%)

Counts
2 → 24
Calls

2 calls:

7.0ms
(cbrt.f64 (*.f64 (*.f64 (log.f64 (exp.f64 (+.f64 -1/3 x))) (log.f64 (exp.f64 (+.f64 -1/3 x)))) (log.f64 (exp.f64 (+.f64 -1/3 x)))))
3.0ms
(*.f64 (*.f64 (log.f64 (exp.f64 (+.f64 -1/3 x))) (log.f64 (exp.f64 (+.f64 -1/3 x)))) (log.f64 (exp.f64 (+.f64 -1/3 x))))

rewrite27.0ms (2.8%)

Algorithm
1×rewrite-expression-head
Rules
22×pow1_binary64
10×add-cbrt-cube_binary64
8×associate-*r*_binary64
8×log-prod_binary64
8×*-un-lft-identity_binary64
Counts
2 → 56
Calls

2 calls:

13.0ms
(*.f64 (*.f64 (log.f64 (exp.f64 (+.f64 -1/3 x))) (log.f64 (exp.f64 (+.f64 -1/3 x)))) (log.f64 (exp.f64 (+.f64 -1/3 x))))
9.0ms
(cbrt.f64 (*.f64 (*.f64 (log.f64 (exp.f64 (+.f64 -1/3 x))) (log.f64 (exp.f64 (+.f64 -1/3 x)))) (log.f64 (exp.f64 (+.f64 -1/3 x)))))

simplify83.0ms (8.7%)

Algorithm
1×egg-herbie
Rules
825×fma-neg_binary64
463×unswap-sqr_binary64
360×distribute-rgt-in_binary64
356×distribute-lft-in_binary64
333×distribute-rgt-out_binary64
Counts
80 → 92
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
097966
1200796
2538782
31611702
42933702
54646702
64812702

prune135.0ms (14.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New2210221
Fresh000
Picked011
Done011
Total2212223
Error
0b
Counts
223 → 2
Alt Table
StatusErrorProgram
✓30.9b
(cbrt.f64 (*.f64 (*.f64 (log.f64 (exp.f64 (+.f64 -1/3 x))) (log.f64 (exp.f64 (+.f64 -1/3 x)))) (log.f64 (exp.f64 (+.f64 -1/3 x)))))
✓0.0b
(-.f64 x 1/3)
Compiler

Compiled 4581 to 3810 computations (16.8% saved)

regimes27.0ms (2.8%)

Accuracy

Total 0.0b remaining (21.2%)

Threshold costs 0.0b (21.2%)

Counts
12 → 1
Compiler

Compiled 240 to 208 computations (13.3% saved)

simplify2.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
1×+-commutative_binary64
1×sub-neg_binary64
1×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
074
1124
2134
3104

end0.0ms (0%)

Compiler

Compiled 4 to 3 computations (25% saved)

sample376.0ms (39.3%)

Algorithm
1×intervals
Results
181.0ms8000×body128valid
Compiler

Compiled 35 to 29 computations (17.1% saved)

Profiling

Loading profile data...