Details

Time bar (total: 2.3s)

analyze474.0ms (20.3%)

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)

sample1.6s (68.1%)

Results
810.0ms2650×body1024valid
293.0ms1401×body512valid
241.0ms3195×body128valid
111.0ms312×body2048valid
103.0ms698×body256valid
1.0ms2×body2048invalid
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
0.8b
Counts
3 → 1
Alt Table
StatusErrorProgram
▶0.8b
(/.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
✓0.7b
(/.f64 (exp.f64 x) (expm1.f64 x))

series10.0ms (0.4%)

Counts
1 → 12
Calls

1 calls:

10.0ms
(/.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 (2.8%)

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

prune19.0ms (0.8%)

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))
21.2b
(+.f64 1/2 (fma.f64 x 1/12 (/.f64 1 x)))
▶21.1b
(+.f64 1/2 (/.f64 1 x))
Compiler

Compiled 473 to 170 computations (64.1% saved)

localize3.0ms (0.1%)

prune2.0ms (0.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New000
Fresh011
Picked011
Done011
Total033
Error
0.6b
Counts
3 → 3
Alt Table
StatusErrorProgram
✓0.8b
(/.f64 (exp.f64 x) (expm1.f64 x))
▶21.2b
(+.f64 1/2 (fma.f64 x 1/12 (/.f64 1 x)))
✓21.1b
(+.f64 1/2 (/.f64 1 x))
Compiler

Compiled 30 to 23 computations (23.3% saved)

localize4.0ms (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 (3.3%)

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

prune8.0ms (0.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New16016
Fresh000
Picked011
Done022
Total16319
Error
0.6b
Counts
19 → 3
Alt Table
StatusErrorProgram
✓0.8b
(/.f64 (exp.f64 x) (expm1.f64 x))
✓21.2b
(+.f64 1/2 (fma.f64 x 1/12 (/.f64 1 x)))
✓21.1b
(+.f64 1/2 (/.f64 1 x))
Compiler

Compiled 199 to 155 computations (22.1% saved)

regimes18.0ms (0.8%)

Accuracy

Total 0.1b remaining (20.5%)

Threshold costs 0.1b (20.5%)

Counts
6 → 1
Compiler

Compiled 155 to 112 computations (27.7% saved)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058
158

end46.0ms (2%)

Compiler

Compiled 33 to 24 computations (27.3% saved)

Profiling

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