Details

Time bar (total: 4.1s)

analyze79.0ms (1.9%)

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)

sample34.0ms (0.8%)

Algorithm
1×intervals
Results
7.0ms256×body128valid
0.0ms8×body128invalid
Compiler

Compiled 21 to 15 computations (28.6% saved)

simplify11.0ms (0.3%)

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 (0.1%)

Local error

Found 1 expressions with local error:

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

series14.0ms (0.3%)

Counts
1 → 0
Calls

1 calls:

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

rewrite16.0ms (0.4%)

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))

simplify82.0ms (2%)

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

prune53.0ms (1.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1093112
Fresh000
Picked011
Done000
Total1094113
Error
0b
Counts
113 → 4
Alt Table
StatusErrorProgram
▶0.3b
(*.f64 (fabs.f64 (-.f64 x y)) (/.f64 1 (fabs.f64 y)))
20.2b
(cbrt.f64 (pow.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) 3))
0.5b
(/.f64 (/.f64 (fabs.f64 (-.f64 x y)) (sqrt.f64 (fabs.f64 y))) (sqrt.f64 (fabs.f64 y)))
✓0.0b
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
Compiler

Compiled 2058 to 419 computations (79.6% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.3b
(*.f64 (fabs.f64 (-.f64 x y)) (/.f64 1 (fabs.f64 y)))

series15.0ms (0.4%)

Counts
1 → 24
Calls

1 calls:

15.0ms
(*.f64 (fabs.f64 (-.f64 x y)) (/.f64 1 (fabs.f64 y)))

rewrite18.0ms (0.4%)

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:

11.0ms
(*.f64 (fabs.f64 (-.f64 x y)) (/.f64 1 (fabs.f64 y)))

simplify100.0ms (2.5%)

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

prune58.0ms (1.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1230123
Fresh022
Picked011
Done011
Total1234127
Error
0b
Counts
127 → 4
Alt Table
StatusErrorProgram
✓0.3b
(*.f64 (fabs.f64 (-.f64 x y)) (/.f64 1 (fabs.f64 y)))
20.2b
(cbrt.f64 (pow.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) 3))
▶0.5b
(/.f64 (/.f64 (fabs.f64 (-.f64 x y)) (sqrt.f64 (fabs.f64 y))) (sqrt.f64 (fabs.f64 y)))
✓0.0b
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
Compiler

Compiled 2225 to 802 computations (64% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.2b
(/.f64 (/.f64 (fabs.f64 (-.f64 x y)) (sqrt.f64 (fabs.f64 y))) (sqrt.f64 (fabs.f64 y)))
✓0.4b
(/.f64 (fabs.f64 (-.f64 x y)) (sqrt.f64 (fabs.f64 y)))

series36.0ms (0.9%)

Counts
2 → 48
Calls

2 calls:

21.0ms
(/.f64 (fabs.f64 (-.f64 x y)) (sqrt.f64 (fabs.f64 y)))
14.0ms
(/.f64 (/.f64 (fabs.f64 (-.f64 x y)) (sqrt.f64 (fabs.f64 y))) (sqrt.f64 (fabs.f64 y)))

rewrite307.0ms (7.5%)

Algorithm
1×rewrite-expression-head
Rules
2020×times-frac_binary64
1455×add-sqr-sqrt_binary64
1428×sqrt-prod_binary64
1224×fabs-mul_binary64
1109×*-un-lft-identity_binary64
Counts
2 → 1198
Calls

2 calls:

32.0ms
(/.f64 (/.f64 (fabs.f64 (-.f64 x y)) (sqrt.f64 (fabs.f64 y))) (sqrt.f64 (fabs.f64 y)))
9.0ms
(/.f64 (fabs.f64 (-.f64 x y)) (sqrt.f64 (fabs.f64 y)))

simplify1.6s (39.5%)

Algorithm
1×egg-herbie
Rules
767×associate-*l/_binary64
740×fma-def_binary64
668×associate-/l/_binary64
519×associate-/r/_binary64
362×*-commutative_binary64
Counts
1246 → 1132
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
094146483
1190645295
2229236713
3183536563
4333236556
5450635816
6497735816
7491835816

prune392.0ms (9.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New113201132
Fresh011
Picked011
Done022
Total113241136
Error
0b
Counts
1136 → 4
Alt Table
StatusErrorProgram
✓0.3b
(*.f64 (fabs.f64 (-.f64 x y)) (/.f64 1 (fabs.f64 y)))
▶20.2b
(cbrt.f64 (pow.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) 3))
✓0.5b
(/.f64 (/.f64 (fabs.f64 (-.f64 x y)) (sqrt.f64 (fabs.f64 y))) (sqrt.f64 (fabs.f64 y)))
✓0.0b
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
Compiler

Compiled 31237 to 4941 computations (84.2% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
✓0.1b
(pow.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) 3)
✓18.8b
(cbrt.f64 (pow.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) 3))

series59.0ms (1.4%)

Counts
2 → 48
Calls

2 calls:

41.0ms
(pow.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) 3)
17.0ms
(cbrt.f64 (pow.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) 3))

rewrite70.0ms (1.7%)

Algorithm
1×rewrite-expression-head
Rules
256×add-sqr-sqrt_binary64
252×times-frac_binary64
248×fabs-mul_binary64
192×*-un-lft-identity_binary64
140×cbrt-prod_binary64
Counts
2 → 308
Calls

2 calls:

15.0ms
(cbrt.f64 (pow.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) 3))
11.0ms
(pow.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) 3)

simplify243.0ms (6%)

Algorithm
1×egg-herbie
Rules
557×associate-/l/_binary64
392×unswap-sqr_binary64
382×cube-div_binary64
292×sqr-pow_binary64
291×log-prod_binary64
Counts
356 → 240
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03129406
18468383
225377493
335117493
448827493

prune162.0ms (4%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New3520352
Fresh000
Picked011
Done033
Total3524356
Error
0b
Counts
356 → 4
Alt Table
StatusErrorProgram
✓0.3b
(*.f64 (fabs.f64 (-.f64 x y)) (/.f64 1 (fabs.f64 y)))
✓20.2b
(cbrt.f64 (pow.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) 3))
✓0.5b
(/.f64 (/.f64 (fabs.f64 (-.f64 x y)) (sqrt.f64 (fabs.f64 y))) (sqrt.f64 (fabs.f64 y)))
✓0.0b
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
Compiler

Compiled 7358 to 2271 computations (69.1% saved)

regimes134.0ms (3.3%)

Accuracy

Total 0.0b remaining (73.1%)

Threshold costs 0.0b (73.1%)

Counts
48 → 1
Compiler

Compiled 2164 to 1261 computations (41.7% 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

end0.0ms (0%)

Compiler

Compiled 8 to 5 computations (37.5% saved)

sample557.0ms (13.7%)

Algorithm
1×intervals
Results
270.0ms8000×body128valid
8.0ms184×body128invalid
Compiler

Compiled 66 to 45 computations (31.8% saved)

Profiling

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