Details

Time bar (total: 5.7s)

analyze496.0ms (8.8%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
25%74.9%0.1%5
43.7%56.2%0.1%6
53.1%42.1%4.8%7
59.3%35.9%4.8%8
62.4%30.4%7.1%9
64.8%28.1%7.1%10
66%25.8%8.3%11
66.9%24.8%8.3%12
67.4%23.7%8.9%13
67.9%23.3%8.9%14
Compiler

Compiled 12 to 9 computations (25% saved)

sample4.1s (71.5%)

Results
2.6s2493×body8192exit
1.0s7601×body128valid
136.0ms210×body1024valid
122.0ms274×body512valid
51.0ms171×body256valid
10.0ms72×body128invalid
Compiler

Compiled 35 to 26 computations (25.7% saved)

simplify99.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
837×fma-def_binary64
741×fabs-mul_binary64
531×fabs-div_binary64
469×swap-sqr_binary64
420×fma-neg_binary64
Counts
1 → 2
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0911
11911
22811
34511
45911
58911
612011
714811
818811
920111
1023111
1125711
1233611
1354411
1496711
15293011
16346311
17360011
18389611
19482011
20496911

prune3.0ms (0%)

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 (log1p.f64 (exp.f64 x)) (*.f64 x y))
Compiler

Compiled 36 to 22 computations (38.9% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓0.2b
(log1p.f64 (exp.f64 x))

series423.0ms (7.5%)

Counts
2 → 36
Calls

2 calls:

254.0ms
(log1p.f64 (exp.f64 x))
169.0ms
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))

rewrite4.0ms (0.1%)

Algorithm
1×rewrite-expression-head
Rules
5×add-log-exp_binary64
4×*-un-lft-identity_binary64
4×add-sqr-sqrt_binary64
4×add-cube-cbrt_binary64
3×fma-neg_binary64
Counts
2 → 32
Calls

2 calls:

2.0ms
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
0.0ms
(log1p.f64 (exp.f64 x))

simplify80.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
620×cancel-sign-sub-inv_binary64
339×unswap-sqr_binary64
285×*-commutative_binary64
285×unsub-neg_binary64
252×distribute-rgt-in_binary64
Counts
68 → 56
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
073789
1167742
2426710
31507707
43171707
54588701
64872701

prune52.0ms (0.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New54256
Fresh000
Picked011
Done000
Total54357
Error
0b
Counts
57 → 3
Alt Table
StatusErrorProgram
29.7b
(log.f64 (/.f64 (+.f64 1 (exp.f64 x)) (exp.f64 (*.f64 x y))))
▶7.7b
(-.f64 (log.f64 2) (*.f64 x y))
✓0.3b
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
Compiler

Compiled 795 to 294 computations (63% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (log.f64 2) (*.f64 x y))

series10.0ms (0.2%)

Counts
1 → 24
Calls

1 calls:

10.0ms
(-.f64 (log.f64 2) (*.f64 x y))

rewrite4.0ms (0.1%)

Algorithm
1×rewrite-expression-head
Rules
4×fma-neg_binary64
4×*-un-lft-identity_binary64
4×add-sqr-sqrt_binary64
4×add-cube-cbrt_binary64
4×prod-diff_binary64
Counts
1 → 25
Calls

1 calls:

3.0ms
(-.f64 (log.f64 2) (*.f64 x y))

simplify80.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
532×fma-def_binary64
434×unsub-neg_binary64
350×neg-mul-1_binary64
345×neg-sub0_binary64
239×*-commutative_binary64
Counts
49 → 44
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
052541
1116504
2286480
3961480
42196480
53167480
64390480
74926480

prune35.0ms (0.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New43144
Fresh101
Picked011
Done011
Total44347
Error
0b
Counts
47 → 3
Alt Table
StatusErrorProgram
✓0.3b
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
▶22.0b
(cbrt.f64 (pow.f64 (-.f64 (log.f64 2) (*.f64 y x)) 3))
✓7.7b
(-.f64 (log.f64 2) (*.f64 x y))
Compiler

Compiled 567 to 355 computations (37.4% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (log.f64 2) (*.f64 y x))
✓0.7b
(pow.f64 (-.f64 (log.f64 2) (*.f64 y x)) 3)
✓14.1b
(cbrt.f64 (pow.f64 (-.f64 (log.f64 2) (*.f64 y x)) 3))

series41.0ms (0.7%)

Counts
3 → 54
Calls

3 calls:

19.0ms
(pow.f64 (-.f64 (log.f64 2) (*.f64 y x)) 3)
12.0ms
(cbrt.f64 (pow.f64 (-.f64 (log.f64 2) (*.f64 y x)) 3))
9.0ms
(-.f64 (log.f64 2) (*.f64 y x))

rewrite14.0ms (0.3%)

Algorithm
1×rewrite-expression-head
Rules
12×*-un-lft-identity_binary64
12×add-sqr-sqrt_binary64
12×cbrt-prod_binary64
12×add-cube-cbrt_binary64
6×cube-prod_binary64
Counts
3 → 77
Calls

3 calls:

5.0ms
(pow.f64 (-.f64 (log.f64 2) (*.f64 y x)) 3)
3.0ms
(-.f64 (log.f64 2) (*.f64 y x))
3.0ms
(cbrt.f64 (pow.f64 (-.f64 (log.f64 2) (*.f64 y x)) 3))

simplify99.0ms (1.8%)

Algorithm
1×egg-herbie
Rules
572×fma-neg_binary64
344×fma-def_binary64
294×exp-prod_binary64
261×cancel-sign-sub-inv_binary64
252×unswap-sqr_binary64
Counts
131 → 97
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01202262
12812097
28652005
327142005
447352002
550742002

prune59.0ms (1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New97097
Fresh000
Picked011
Done022
Total973100
Error
0b
Counts
100 → 3
Alt Table
StatusErrorProgram
✓0.3b
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y))
✓22.0b
(cbrt.f64 (pow.f64 (-.f64 (log.f64 2) (*.f64 y x)) 3))
✓7.7b
(-.f64 (log.f64 2) (*.f64 x y))
Compiler

Compiled 1710 to 1185 computations (30.7% saved)

regimes44.0ms (0.8%)

Accuracy

Total 0.2b remaining (50.8%)

Threshold costs 0.2b (50.8%)

Counts
12 → 1
Compiler

Compiled 375 to 287 computations (23.5% saved)

simplify3.0ms (0%)

Algorithm
1×egg-herbie
Rules
4×+-commutative_binary64
4×*-commutative_binary64
4×sub-neg_binary64
3×neg-sub0_binary64
3×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
11311
22311
32911
43311
53411
63411

end50.0ms (0.9%)

Compiler

Compiled 46 to 33 computations (28.3% saved)

Profiling

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