Details

Time bar (total: 3.0s)

analyze4.0ms (0.1%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
25%75%0%3
62.5%25%12.5%4
68.7%12.5%18.8%5
71.8%6.2%21.9%6
73.4%3.1%23.5%7
74.2%1.6%24.3%8
74.6%0.8%24.6%9
75%0.4%24.6%10
75.1%0.2%24.7%11
75.1%0.1%24.8%12
75.1%0%24.8%13
75.2%0%24.8%14
Compiler

Compiled 8 to 6 computations (25% saved)

sample2.6s (88.4%)

Results
1.3s2739×body1024valid
522.0ms1381×body512valid
376.0ms3134×body128valid
214.0ms691×body256valid
123.0ms311×body2048valid
Compiler

Compiled 23 to 17 computations (26.1% saved)

simplify18.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
95×fma-def_binary64
80×fma-neg_binary64
32×distribute-rgt-in_binary64
27×cancel-sign-sub-inv_binary64
26×distribute-lft-in_binary64
Counts
1 → 2
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066
1156
2186
3226
4306
5386
6576
7866
81136
91546
102246
112616
122976
133006
142636

prune3.0ms (0.1%)

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 (expm1.f64 x) x)
Compiler

Compiled 21 to 13 computations (38.1% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (expm1.f64 x) x)

series3.0ms (0.1%)

Counts
1 → 12
Calls

1 calls:

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

rewrite4.0ms (0.1%)

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 → 30
Calls

1 calls:

2.0ms
(/.f64 (expm1.f64 x) x)

simplify59.0ms (2%)

Algorithm
1×egg-herbie
Rules
665×times-frac_binary64
337×associate-/l*_binary64
285×fma-def_binary64
269×associate-*l*_binary64
256×fma-neg_binary64
Counts
42 → 42
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
076468
1144440
2345437
3884430
44051430
55063430

prune18.0ms (0.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New41142
Fresh000
Picked011
Done000
Total41243
Error
0b
Counts
43 → 2
Alt Table
StatusErrorProgram
✓0.0b
(/.f64 (expm1.f64 x) x)
▶24.2b
(fma.f64 x (fma.f64 x 1/6 1/2) 1)
Compiler

Compiled 423 to 167 computations (60.5% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.1b
(fma.f64 x (fma.f64 x 1/6 1/2) 1)
✓0.1b
(fma.f64 x 1/6 1/2)

series4.0ms (0.1%)

Counts
2 → 24
Calls

2 calls:

2.0ms
(fma.f64 x (fma.f64 x 1/6 1/2) 1)
2.0ms
(fma.f64 x 1/6 1/2)

rewrite1.0ms (0%)

Algorithm
1×rewrite-expression-head
Rules
2×*-un-lft-identity_binary64
2×add-sqr-sqrt_binary64
2×add-cube-cbrt_binary64
2×add-cbrt-cube_binary64
2×add-exp-log_binary64
Counts
2 → 20
Calls

2 calls:

0.0ms
(fma.f64 x 1/6 1/2)
0.0ms
(fma.f64 x (fma.f64 x 1/6 1/2) 1)

simplify99.0ms (3.3%)

Algorithm
1×egg-herbie
Rules
590×distribute-rgt-out_binary64
503×sqr-pow_binary64
365×*-commutative_binary64
298×distribute-rgt-in_binary64
294×distribute-lft-in_binary64
Counts
44 → 49
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
036413
155342
2110341
3337341
41484341
52130341
62811341
73949341
84978341
94992341
104895341

prune29.0ms (1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New49049
Fresh000
Picked011
Done011
Total49251
Error
0b
Counts
51 → 2
Alt Table
StatusErrorProgram
✓0.0b
(/.f64 (expm1.f64 x) x)
✓24.2b
(fma.f64 x (fma.f64 x 1/6 1/2) 1)
Compiler

Compiled 519 to 399 computations (23.1% saved)

regimes19.0ms (0.6%)

Accuracy

Total 0.0b remaining (36.9%)

Threshold costs 0.0b (36.9%)

Counts
5 → 1
Compiler

Compiled 109 to 81 computations (25.7% saved)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046
146

end70.0ms (2.4%)

Compiler

Compiled 23 to 15 computations (34.8% saved)

Profiling

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