Details

Time bar (total: 2.6s)

analyze545.0ms (20.6%)

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)

sample1.8s (68.8%)

Results
962.0ms2738×body1024valid
314.0ms1322×body512valid
278.0ms3226×body128valid
126.0ms310×body2048valid
107.0ms660×body256valid
1.0ms2×body2048invalid
0.0ms1×body128invalid
Compiler

Compiled 26 to 17 computations (34.6% saved)

simplify6.0ms (0.2%)

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 (0.1%)

Local error

Found 1 expressions with local error:

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

series9.0ms (0.3%)

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))

simplify71.0ms (2.7%)

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 (0.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New38240
Fresh000
Picked011
Done000
Total38341
Error
0.2b
Counts
41 → 3
Alt Table
StatusErrorProgram
▶21.7b
(+.f64 1/2 (fma.f64 x 1/12 (/.f64 1 x)))
21.9b
(+.f64 1/2 (/.f64 1 x))
✓0.3b
(/.f64 (exp.f64 x) (expm1.f64 x))
Compiler

Compiled 473 to 170 computations (64.1% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.1b
(fma.f64 x 1/12 (/.f64 1 x))

series2.0ms (0.1%)

Counts
1 → 12
Calls

1 calls:

2.0ms
(fma.f64 x 1/12 (/.f64 1 x))

rewrite1.0ms (0%)

Algorithm
1×rewrite-expression-head
Rules
1×*-un-lft-identity_binary64
1×add-sqr-sqrt_binary64
1×add-cube-cbrt_binary64
1×add-cbrt-cube_binary64
1×add-exp-log_binary64
Counts
1 → 10
Calls

1 calls:

0.0ms
(fma.f64 x 1/12 (/.f64 1 x))

simplify77.0ms (2.9%)

Algorithm
1×egg-herbie
Rules
548×distribute-rgt-in_binary64
507×distribute-lft-in_binary64
453×distribute-rgt-out_binary64
425×associate-/l/_binary64
402×unswap-sqr_binary64
Counts
22 → 16
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
018208
122191
245191
3114191
4324191
51000191
62257191
73233191
83784191
94950191
104875191

prune9.0ms (0.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New16016
Fresh011
Picked011
Done011
Total16319
Error
0.2b
Counts
19 → 3
Alt Table
StatusErrorProgram
✓21.7b
(+.f64 1/2 (fma.f64 x 1/12 (/.f64 1 x)))
▶21.9b
(+.f64 1/2 (/.f64 1 x))
✓0.3b
(/.f64 (exp.f64 x) (expm1.f64 x))
Compiler

Compiled 205 to 160 computations (22% saved)

localize3.0ms (0.1%)

prune2.0ms (0.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done022
Total033
Error
0.2b
Counts
3 → 3
Alt Table
StatusErrorProgram
✓21.7b
(+.f64 1/2 (fma.f64 x 1/12 (/.f64 1 x)))
✓21.9b
(+.f64 1/2 (/.f64 1 x))
✓0.3b
(/.f64 (exp.f64 x) (expm1.f64 x))
Compiler

Compiled 21 to 16 computations (23.8% saved)

regimes20.0ms (0.8%)

Accuracy

Total 0.1b remaining (19.9%)

Threshold costs 0.1b (19.9%)

Counts
7 → 1
Compiler

Compiled 179 to 130 computations (27.4% saved)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058
158

end43.0ms (1.6%)

Compiler

Compiled 33 to 24 computations (27.3% saved)

Profiling

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