Details

Time bar (total: 1.5s)

analyze6.0ms (0.4%)

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)

sample57.0ms (3.7%)

Algorithm
1×intervals
Results
16.0ms83×body1024valid
4.0ms39×body512valid
3.0ms107×body128valid
1.0ms20×body256valid
1.0ms7×body2048valid
Compiler

Compiled 16 to 12 computations (25% saved)

simplify45.0ms (2.9%)

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 (0.2%)

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 (0.2%)

Local error

Found 1 expressions with local error:

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

series3.0ms (0.2%)

Counts
1 → 12
Calls

1 calls:

3.0ms
(/.f64 (expm1.f64 x) 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 → 30
Calls

1 calls:

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

simplify64.0ms (4.1%)

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

prune20.0ms (1.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New40242
Fresh000
Picked011
Done000
Total40343
Error
0b
Counts
43 → 3
Alt Table
StatusErrorProgram
✓0.0b
(/.f64 (expm1.f64 x) x)
▶0.0b
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)))
23.7b
(fma.f64 1/2 x 1)
Compiler

Compiled 431 to 173 computations (59.9% saved)

localize5.0ms (0.4%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (expm1.f64 x) x)
✓0.0b
(log1p.f64 (/.f64 (expm1.f64 x) x))
✓0.0b
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)))

series18.0ms (1.2%)

Counts
2 → 24
Calls

2 calls:

15.0ms
(log1p.f64 (/.f64 (expm1.f64 x) x))
4.0ms
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)))

rewrite1.0ms (0.1%)

Algorithm
1×rewrite-expression-head
Rules
3×expm1-log1p-u_binary64
2×*-un-lft-identity_binary64
2×add-sqr-sqrt_binary64
2×add-cube-cbrt_binary64
2×add-cbrt-cube_binary64
Counts
2 → 22
Calls

2 calls:

0.0ms
(log1p.f64 (/.f64 (expm1.f64 x) x))
0.0ms
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)))

simplify70.0ms (4.6%)

Algorithm
1×egg-herbie
Rules
549×associate-+l+_binary64
445×fma-neg_binary64
409×associate-+r+_binary64
334×associate--r+_binary64
320×fma-def_binary64
Counts
46 → 52
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0114995
1278933
2895903
34330897
44982897
55010897

prune47.0ms (3.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New94094
Fresh011
Picked011
Done011
Total94397
Error
0b
Counts
97 → 3
Alt Table
StatusErrorProgram
✓0.0b
(/.f64 (expm1.f64 x) x)
✓0.0b
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)))
▶23.7b
(fma.f64 1/2 x 1)
Compiler

Compiled 1366 to 670 computations (51% saved)

localize2.0ms (0.2%)

prune2.0ms (0.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done022
Total033
Error
0b
Counts
3 → 3
Alt Table
StatusErrorProgram
✓0.0b
(/.f64 (expm1.f64 x) x)
✓0.0b
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)))
✓23.7b
(fma.f64 1/2 x 1)
Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes22.0ms (1.4%)

Accuracy

Total 0.0b remaining (59.8%)

Threshold costs 0.0b (59.8%)

Counts
8 → 1
Compiler

Compiled 129 to 101 computations (21.7% saved)

simplify3.0ms (0.2%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046
146

end0.0ms (0%)

Compiler

Compiled 5 to 3 computations (40% saved)

sample1.2s (75.4%)

Algorithm
1×intervals
Results
556.0ms2670×body1024valid
153.0ms1341×body512valid
106.0ms3075×body128valid
56.0ms257×body2048valid
48.0ms657×body256valid
Compiler

Compiled 31 to 22 computations (29% saved)

Profiling

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