Details

Time bar (total: 2.9s)

analyze84.0ms (2.9%)

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)

sample785.0ms (26.8%)

Results
732.0ms8256×body128valid
18.0ms199×body128invalid
Compiler

Compiled 29 to 20 computations (31% saved)

simplify11.0ms (0.4%)

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

prune1.0ms (0%)

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))

series15.0ms (0.5%)

Counts
1 → 0
Calls

1 calls:

15.0ms
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))

rewrite15.0ms (0.5%)

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))

simplify86.0ms (2.9%)

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

prune81.0ms (2.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1102112
Fresh000
Picked011
Done000
Total1103113
Error
0b
Counts
113 → 3
Alt Table
StatusErrorProgram
16.8b
(cbrt.f64 (*.f64 (*.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))) (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))))
✓0.0b
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
▶0.2b
(*.f64 (fabs.f64 (-.f64 x y)) (/.f64 1 (fabs.f64 y)))
Compiler

Compiled 2058 to 403 computations (80.4% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series14.0ms (0.5%)

Counts
1 → 24
Calls

1 calls:

14.0ms
(*.f64 (fabs.f64 (-.f64 x y)) (/.f64 1 (fabs.f64 y)))

rewrite19.0ms (0.7%)

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)))

simplify98.0ms (3.4%)

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

prune62.0ms (2.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1230123
Fresh011
Picked011
Done011
Total1233126
Error
0b
Counts
126 → 3
Alt Table
StatusErrorProgram
▶16.8b
(cbrt.f64 (*.f64 (*.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))) (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))))
✓0.0b
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
✓0.2b
(*.f64 (fabs.f64 (-.f64 x y)) (/.f64 1 (fabs.f64 y)))
Compiler

Compiled 2225 to 786 computations (64.7% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
✓0.1b
(*.f64 (*.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))) (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)))
✓0.1b
(*.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)))
✓15.8b
(cbrt.f64 (*.f64 (*.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))) (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))))

series196.0ms (6.7%)

Counts
3 → 72
Calls

3 calls:

109.0ms
(*.f64 (*.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))) (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)))
71.0ms
(*.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)))
15.0ms
(cbrt.f64 (*.f64 (*.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))) (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))))

rewrite216.0ms (7.4%)

Algorithm
1×rewrite-expression-head
Rules
729×add-sqr-sqrt_binary64
532×times-frac_binary64
476×fabs-mul_binary64
288×*-un-lft-identity_binary64
210×fabs-sqr_binary64
Counts
3 → 491
Calls

3 calls:

57.0ms
(*.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)))
31.0ms
(*.f64 (*.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))) (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)))
19.0ms
(cbrt.f64 (*.f64 (*.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))) (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))))

simplify510.0ms (17.4%)

Algorithm
1×egg-herbie
Rules
741×associate-*r/_binary64
713×associate-/l*_binary64
695×associate-*l/_binary64
556×associate-*l*_binary64
478×div-sub_binary64
Counts
563 → 648
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
050320325
1154616040
2466813573
3394813226
4393012969
5553712969

prune466.0ms (15.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New9840984
Fresh000
Picked011
Done022
Total9843987
Error
0b
Counts
987 → 3
Alt Table
StatusErrorProgram
✓16.8b
(cbrt.f64 (*.f64 (*.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))) (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))))
✓0.0b
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
✓0.2b
(*.f64 (fabs.f64 (-.f64 x y)) (/.f64 1 (fabs.f64 y)))
Compiler

Compiled 34832 to 4755 computations (86.3% saved)

regimes192.0ms (6.5%)

Accuracy

Total 0.0b remaining (53.6%)

Threshold costs 0.0b (53.6%)

Counts
69 → 1
Compiler

Compiled 4305 to 2479 computations (42.4% saved)

simplify2.0ms (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
069
1119
2189
3229
4269
5289
6299
7299

end54.0ms (1.8%)

Compiler

Compiled 62 to 33 computations (46.8% saved)

Profiling

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