Details

Time bar (total: 1.9s)

analyze466.0ms (24.6%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
25%75%0%3
25%62.5%12.5%4
25%56.2%18.8%5
28.1%50%21.9%6
29.7%46.9%23.5%7
30.5%45.3%24.3%8
30.8%44.9%24.3%9
31.2%44.5%24.3%10
31.3%44.4%24.3%11
31.4%44.3%24.3%12
31.4%44.2%24.3%13
31.5%44.2%24.3%14
Compiler

Compiled 9 to 6 computations (33.3% saved)

sample46.0ms (2.4%)

Algorithm
1×intervals
Results
17.0ms82×body1024valid
4.0ms45×body512valid
3.0ms106×body128valid
1.0ms18×body256valid
1.0ms5×body2048valid
Compiler

Compiled 18 to 12 computations (33.3% 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 (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
0.8b
Counts
3 → 1
Alt Table
StatusErrorProgram
▶0.8b
(/.f64 (exp.f64 x) (expm1.f64 x))
Compiler

Compiled 25 to 15 computations (40% saved)

localize6.0ms (0.3%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.7b
(/.f64 (exp.f64 x) (expm1.f64 x))

series8.0ms (0.4%)

Counts
1 → 12
Calls

1 calls:

8.0ms
(/.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))

simplify66.0ms (3.5%)

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

prune17.0ms (0.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New38240
Fresh000
Picked011
Done000
Total38341
Error
0.6b
Counts
41 → 3
Alt Table
StatusErrorProgram
✓0.8b
(/.f64 (exp.f64 x) (expm1.f64 x))
▶0.8b
(*.f64 (exp.f64 x) (/.f64 1 (expm1.f64 x)))
22.5b
(+.f64 1/2 (/.f64 1 x))
Compiler

Compiled 471 to 168 computations (64.3% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 1 (expm1.f64 x))
✓0.7b
(*.f64 (exp.f64 x) (/.f64 1 (expm1.f64 x)))

series19.0ms (1%)

Counts
2 → 24
Calls

2 calls:

12.0ms
(*.f64 (exp.f64 x) (/.f64 1 (expm1.f64 x)))
7.0ms
(/.f64 1 (expm1.f64 x))

rewrite12.0ms (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:

6.0ms
(*.f64 (exp.f64 x) (/.f64 1 (expm1.f64 x)))
2.0ms
(/.f64 1 (expm1.f64 x))

simplify77.0ms (4.1%)

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

prune43.0ms (2.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1060106
Fresh011
Picked011
Done011
Total1063109
Error
0.6b
Counts
109 → 3
Alt Table
StatusErrorProgram
✓0.8b
(/.f64 (exp.f64 x) (expm1.f64 x))
✓0.8b
(*.f64 (exp.f64 x) (/.f64 1 (expm1.f64 x)))
▶22.5b
(+.f64 1/2 (/.f64 1 x))
Compiler

Compiled 1338 to 662 computations (50.5% saved)

localize36.0ms (1.9%)

prune1.0ms (0.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done022
Total033
Error
0.6b
Counts
3 → 3
Alt Table
StatusErrorProgram
✓0.8b
(/.f64 (exp.f64 x) (expm1.f64 x))
✓0.8b
(*.f64 (exp.f64 x) (/.f64 1 (expm1.f64 x)))
✓22.5b
(+.f64 1/2 (/.f64 1 x))
Compiler

Compiled 20 to 15 computations (25% saved)

regimes19.0ms (1%)

Accuracy

Total 0.1b remaining (20.2%)

Threshold costs 0.1b (20.2%)

Counts
7 → 1
Compiler

Compiled 212 to 157 computations (25.9% saved)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058
158

end0.0ms (0%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

sample1.1s (55.8%)

Algorithm
1×intervals
Results
419.0ms2514×body1024valid
193.0ms1353×body512valid
97.0ms3179×body128valid
51.0ms275×body2048valid
43.0ms679×body256valid
0.0ms1×body2048invalid
Compiler

Compiled 36 to 26 computations (27.8% saved)

Profiling

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