Details

Time bar (total: 2.0s)

analyze305.0ms (15.3%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
50%50%0%4
50%50%0%5
53.1%46.9%0%6
54.7%45.3%0%7
55.4%44.5%0%8
55.8%44.1%0%9
56%43.9%0%10
56.1%43.8%0%11
56.2%43.8%0%12
56.2%43.8%0%13
56.2%43.7%0%14
Compiler

Compiled 9 to 6 computations (33.3% saved)

sample1.4s (68.2%)

Results
631.0ms2751×body1024valid
208.0ms1407×body512valid
190.0ms3169×body128valid
152.0ms2608×body128invalid
75.0ms264×body2048valid
66.0ms665×body256valid
Compiler

Compiled 26 to 17 computations (34.6% saved)

simplify6.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
1×+-commutative_binary64
1×sub-neg_binary64
1×1-exp_binary64
1×expm1-def_binary64
Counts
1 → 2
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068
1128
2138
3118

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
0.3b
Counts
3 → 1
Alt Table
StatusErrorProgram
▶0.3b
(/.f64 (exp.f64 x) (expm1.f64 x))
Compiler

Compiled 25 to 15 computations (40% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.3b
(/.f64 (exp.f64 x) (expm1.f64 x))

series9.0ms (0.5%)

Counts
1 → 12
Calls

1 calls:

9.0ms
(/.f64 (exp.f64 x) (expm1.f64 x))

rewrite4.0ms (0.2%)

Algorithm
1×rewrite-expression-head
Rules
9×*-un-lft-identity_binary64
9×times-frac_binary64
9×add-sqr-sqrt_binary64
9×add-cube-cbrt_binary64
3×associate-/r*_binary64
Counts
1 → 29
Calls

1 calls:

3.0ms
(/.f64 (exp.f64 x) (expm1.f64 x))

simplify64.0ms (3.2%)

Algorithm
1×egg-herbie
Rules
825×fma-def_binary64
587×div-sub_binary64
548×times-frac_binary64
500×fma-neg_binary64
317×distribute-rgt-in_binary64
Counts
41 → 40
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
066559
1130521
2292519
3609519
41403519
54001519
65294519

prune18.0ms (0.9%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New38240
Fresh000
Picked101
Done000
Total39241
Error
0.2b
Counts
41 → 2
Alt Table
StatusErrorProgram
▶0.3b
(*.f64 (exp.f64 x) (/.f64 1 (expm1.f64 x)))
21.2b
(+.f64 1/2 (/.f64 1 x))
Compiler

Compiled 465 to 164 computations (64.7% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 1 (expm1.f64 x))
✓0.3b
(*.f64 (exp.f64 x) (/.f64 1 (expm1.f64 x)))

series17.0ms (0.8%)

Counts
2 → 24
Calls

2 calls:

9.0ms
(*.f64 (exp.f64 x) (/.f64 1 (expm1.f64 x)))
8.0ms
(/.f64 1 (expm1.f64 x))

rewrite13.0ms (0.6%)

Algorithm
1×rewrite-expression-head
Rules
25×add-sqr-sqrt_binary64
20×times-frac_binary64
19×*-un-lft-identity_binary64
18×add-cube-cbrt_binary64
13×associate-*r*_binary64
Counts
2 → 71
Calls

2 calls:

7.0ms
(*.f64 (exp.f64 x) (/.f64 1 (expm1.f64 x)))
2.0ms
(/.f64 1 (expm1.f64 x))

simplify85.0ms (4.3%)

Algorithm
1×egg-herbie
Rules
955×fma-neg_binary64
461×fma-def_binary64
435×associate-/l*_binary64
309×associate-/l/_binary64
278×distribute-rgt-in_binary64
Counts
95 → 106
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0841002
1180897
2435895
3857895
42060895
54338895
64886895

prune40.0ms (2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1060106
Fresh011
Picked011
Done000
Total1062108
Error
0.2b
Counts
108 → 2
Alt Table
StatusErrorProgram
✓0.3b
(*.f64 (exp.f64 x) (/.f64 1 (expm1.f64 x)))
▶21.2b
(+.f64 1/2 (/.f64 1 x))
Compiler

Compiled 1332 to 658 computations (50.6% saved)

localize3.0ms (0.1%)

prune1.0ms (0.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done011
Total022
Error
0.2b
Counts
2 → 2
Alt Table
StatusErrorProgram
✓0.3b
(*.f64 (exp.f64 x) (/.f64 1 (expm1.f64 x)))
✓21.2b
(+.f64 1/2 (/.f64 1 x))
Compiler

Compiled 14 to 11 computations (21.4% saved)

regimes19.0ms (1%)

Accuracy

Total 0.1b remaining (19.6%)

Threshold costs 0.1b (19.6%)

Counts
7 → 1
Compiler

Compiled 206 to 127 computations (38.3% saved)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058
158

end36.0ms (1.8%)

Compiler

Compiled 26 to 19 computations (26.9% saved)

Profiling

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