Details

Time bar (total: 4.6s)

analyze7.0ms (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)

sample3.2s (70.4%)

Results
1.7s2721×body1024valid
595.0ms1409×body512valid
477.0ms3140×body128valid
204.0ms285×body2048valid
192.0ms701×body256valid
Compiler

Compiled 23 to 17 computations (26.1% saved)

simplify31.0ms (0.7%)

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

prune6.0ms (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)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

series6.0ms (0.1%)

Counts
1 → 12
Calls

1 calls:

6.0ms
(/.f64 (expm1.f64 x) x)

rewrite7.0ms (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:

4.0ms
(/.f64 (expm1.f64 x) x)

simplify112.0ms (2.4%)

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

prune40.0ms (0.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New39342
Fresh000
Picked011
Done000
Total39443
Error
0b
Counts
43 → 4
Alt Table
StatusErrorProgram
▶0.0b
(/.f64 1 (/.f64 x (expm1.f64 x)))
✓0.0b
(/.f64 (expm1.f64 x) x)
0.1b
(*.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (/.f64 (expm1.f64 x) x)))
17.1b
(fma.f64 1/2 x 1)
Compiler

Compiled 455 to 183 computations (59.8% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

series23.0ms (0.5%)

Counts
2 → 24
Calls

2 calls:

17.0ms
(/.f64 x (expm1.f64 x))
6.0ms
(/.f64 1 (/.f64 x (expm1.f64 x)))

rewrite31.0ms (0.7%)

Algorithm
1×rewrite-expression-head
Rules
84×times-frac_binary64
52×*-un-lft-identity_binary64
52×add-sqr-sqrt_binary64
52×add-cube-cbrt_binary64
16×associate-/r*_binary64
Counts
2 → 107
Calls

2 calls:

8.0ms
(/.f64 1 (/.f64 x (expm1.f64 x)))
4.0ms
(/.f64 x (expm1.f64 x))

simplify177.0ms (3.9%)

Algorithm
1×egg-herbie
Rules
475×fma-def_binary64
424×associate-/l/_binary64
353×distribute-rgt-in_binary64
343×distribute-lft-in_binary64
257×fma-neg_binary64
Counts
131 → 155
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01311849
12541614
26621580
317391565
445031565
549421565

prune148.0ms (3.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1550155
Fresh022
Picked011
Done011
Total1554159
Error
0b
Counts
159 → 4
Alt Table
StatusErrorProgram
✓0.0b
(/.f64 1 (/.f64 x (expm1.f64 x)))
✓0.0b
(/.f64 (expm1.f64 x) x)
▶0.1b
(*.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (/.f64 (expm1.f64 x) x)))
17.1b
(fma.f64 1/2 x 1)
Compiler

Compiled 2108 to 869 computations (58.8% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (expm1.f64 x) x)
✓0.0b
(sqrt.f64 (/.f64 (expm1.f64 x) x))
✓0.1b
(*.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (/.f64 (expm1.f64 x) x)))

series123.0ms (2.7%)

Counts
2 → 12
Calls

2 calls:

65.0ms
(*.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (/.f64 (expm1.f64 x) x)))
58.0ms
(sqrt.f64 (/.f64 (expm1.f64 x) x))

rewrite54.0ms (1.2%)

Algorithm
1×rewrite-expression-head
Rules
90×add-sqr-sqrt_binary64
79×sqrt-prod_binary64
58×times-frac_binary64
41×*-un-lft-identity_binary64
41×add-cube-cbrt_binary64
Counts
2 → 122
Calls

2 calls:

18.0ms
(*.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (/.f64 (expm1.f64 x) x)))
3.0ms
(sqrt.f64 (/.f64 (expm1.f64 x) x))

simplify161.0ms (3.5%)

Algorithm
1×egg-herbie
Rules
516×associate-/r/_binary64
364×fma-def_binary64
251×unswap-sqr_binary64
232×distribute-rgt-in_binary64
226×distribute-lft-in_binary64
Counts
134 → 170
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01611751
12631648
28401611
318861544
443321544
550061544

prune256.0ms (5.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New2930293
Fresh011
Picked011
Done022
Total2934297
Error
0b
Counts
297 → 4
Alt Table
StatusErrorProgram
✓0.0b
(/.f64 1 (/.f64 x (expm1.f64 x)))
✓0.0b
(/.f64 (expm1.f64 x) x)
✓0.1b
(*.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (/.f64 (expm1.f64 x) x)))
▶17.1b
(fma.f64 1/2 x 1)
Compiler

Compiled 5015 to 1118 computations (77.7% saved)

localize7.0ms (0.1%)

prune3.0ms (0.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done033
Total044
Error
0b
Counts
4 → 4
Alt Table
StatusErrorProgram
✓0.0b
(/.f64 1 (/.f64 x (expm1.f64 x)))
✓0.0b
(/.f64 (expm1.f64 x) x)
✓0.1b
(*.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (/.f64 (expm1.f64 x) x)))
✓17.1b
(fma.f64 1/2 x 1)
Compiler

Compiled 29 to 17 computations (41.4% saved)

regimes49.0ms (1.1%)

Accuracy

Total 0.0b remaining (79.3%)

Threshold costs 0.0b (79.3%)

Counts
11 → 1
Compiler

Compiled 203 to 143 computations (29.6% saved)

simplify3.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046
146

end95.0ms (2.1%)

Compiler

Compiled 39 to 23 computations (41% saved)

Profiling

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