Details

Time bar (total: 2.2s)

analyze91.0ms (4.2%)

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
37.5%62.4%0.1%5
43.7%56.2%0.1%6
71.8%28.1%0.1%7
73.4%25%1.7%8
80.4%16.4%3.2%9
80.8%14%5.2%10
84.1%8.8%7.1%11
84.2%7.4%8.4%12
85.8%4.5%9.7%13
85.8%3.8%10.4%14
Compiler

Compiled 10 to 7 computations (30% saved)

sample18.0ms (0.8%)

Algorithm
1×intervals
Results
10.0ms256×body128valid
0.0ms5×body128invalid
Compiler

Compiled 21 to 15 computations (28.6% saved)

simplify12.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
39×fma-neg_binary64
17×sub-neg_binary64
17×fma-def_binary64
16×cancel-sign-sub-inv_binary64
9×associate-/l*_binary64
Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
11111
21811
32711
44311
57711
68911
711211
813611
915911
1016711
1116111
1214411

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.0b
Counts
2 → 1
Alt Table
StatusErrorProgram
▶0.0b
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
Compiler

Compiled 27 to 18 computations (33.3% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))

series16.0ms (0.8%)

Counts
1 → 0
Calls

1 calls:

16.0ms
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))

rewrite14.0ms (0.7%)

Algorithm
1×rewrite-expression-head
Rules
71×add-sqr-sqrt_binary64
70×fabs-mul_binary64
63×times-frac_binary64
53×*-un-lft-identity_binary64
37×add-cube-cbrt_binary64
Counts
1 → 96
Calls

1 calls:

6.0ms
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))

simplify97.0ms (4.5%)

Algorithm
1×egg-herbie
Rules
901×div-sub_binary64
444×associate-/l/_binary64
439×times-frac_binary64
383×associate-/l*_binary64
382×fma-def_binary64
Counts
96 → 112
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01472173
12222127
24912127
310852127
427142127
551672127

prune44.0ms (2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1102112
Fresh000
Picked011
Done000
Total1103113
Error
0b
Counts
113 → 3
Alt Table
StatusErrorProgram
2.1b
(expm1.f64 (log1p.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))))
▶0.2b
(*.f64 (fabs.f64 (-.f64 x y)) (/.f64 1 (fabs.f64 y)))
✓0.0b
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
Compiler

Compiled 2028 to 401 computations (80.2% saved)

localize6.0ms (0.3%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 (fabs.f64 (-.f64 x y)) (/.f64 1 (fabs.f64 y)))

series16.0ms (0.7%)

Counts
1 → 24
Calls

1 calls:

16.0ms
(*.f64 (fabs.f64 (-.f64 x y)) (/.f64 1 (fabs.f64 y)))

rewrite19.0ms (0.9%)

Algorithm
1×rewrite-expression-head
Rules
74×add-sqr-sqrt_binary64
39×times-frac_binary64
28×*-un-lft-identity_binary64
27×fabs-mul_binary64
25×associate-*r*_binary64
Counts
1 → 78
Calls

1 calls:

12.0ms
(*.f64 (fabs.f64 (-.f64 x y)) (/.f64 1 (fabs.f64 y)))

simplify101.0ms (4.7%)

Algorithm
1×egg-herbie
Rules
776×fma-def_binary64
489×times-frac_binary64
365×associate-/l*_binary64
318×div-sub_binary64
284×distribute-rgt-in_binary64
Counts
102 → 123
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01151792
12601597
25891597
312511597
433201597
549651597
650351597

prune49.0ms (2.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1230123
Fresh011
Picked011
Done011
Total1233126
Error
0b
Counts
126 → 3
Alt Table
StatusErrorProgram
▶2.1b
(expm1.f64 (log1p.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))))
✓0.2b
(*.f64 (fabs.f64 (-.f64 x y)) (/.f64 1 (fabs.f64 y)))
✓0.0b
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
Compiler

Compiled 2195 to 784 computations (64.3% saved)

localize9.0ms (0.4%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(log1p.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)))
0.0b
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
✓2.1b
(expm1.f64 (log1p.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))))

series911.0ms (42.1%)

Counts
2 → 48
Calls

2 calls:

896.0ms
(log1p.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)))
15.0ms
(expm1.f64 (log1p.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))))

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
(expm1.f64 (log1p.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))))
0.0ms
(log1p.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)))

simplify132.0ms (6.1%)

Algorithm
1×egg-herbie
Rules
752×times-frac_binary64
720×unsub-neg_binary64
625×distribute-frac-neg_binary64
439×distribute-rgt-in_binary64
378×distribute-lft-in_binary64
Counts
70 → 32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
029938
137885
257885
391885
4152885
5334885
61169885
74234885
84938885
93920885
104985885
114997885
124788885

prune59.0ms (2.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1440144
Fresh000
Picked011
Done022
Total1443147
Error
0b
Counts
147 → 3
Alt Table
StatusErrorProgram
✓2.1b
(expm1.f64 (log1p.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))))
✓0.2b
(*.f64 (fabs.f64 (-.f64 x y)) (/.f64 1 (fabs.f64 y)))
✓0.0b
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
Compiler

Compiled 2684 to 672 computations (75% saved)

regimes42.0ms (1.9%)

Accuracy

Total 0.0b remaining (40.9%)

Threshold costs 0.0b (40.9%)

Counts
15 → 1
Compiler

Compiled 675 to 416 computations (38.4% saved)

simplify3.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
11111
21811
32311
42611
52711
62711

end0.0ms (0%)

Compiler

Compiled 9 to 6 computations (33.3% saved)

sample515.0ms (23.8%)

Algorithm
1×intervals
Results
242.0ms8000×body128valid
6.0ms227×body128invalid
Compiler

Compiled 52 to 37 computations (28.8% saved)

Profiling

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