Details

Time bar (total: 3.8s)

analyze198.0ms (5.2%)

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
25%74.9%0.1%5
25%50%25.1%6
25%31.2%43.8%7
25%21.9%53.2%8
25%14%61%9
28.1%10.9%61%10
31.6%7.4%61%11
33.4%5.7%61%12
35.2%3.8%61%13
36.1%2.9%61%14
Compiler

Compiled 20 to 13 computations (35% saved)

sample23.0ms (0.6%)

Algorithm
1×intervals
Results
13.0ms256×body128valid
Compiler

Compiled 41 to 27 computations (34.1% saved)

simplify46.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
770×unswap-sqr_binary64
631×associate-*l*_binary64
623×fma-def_binary64
311×fma-neg_binary64
283×sub-neg_binary64
Counts
1 → 2
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01323
13021
26021
315921
451817
5168717
6359717
7502617

prune7.0ms (0.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0.0b
Counts
3 → 2
Alt Table
StatusErrorProgram
0.2b
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2) (*.f64 4 (*.f64 b b))) 1)
▶0.0b
(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 b (*.f64 b 4) -1))
Compiler

Compiled 97 to 64 computations (34% saved)

localize15.0ms (0.4%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(hypot.f64 a b)
✓0.0b
(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 b (*.f64 b 4) -1))
✓0.0b
(pow.f64 (hypot.f64 a b) 4)

series180.0ms (4.7%)

Counts
3 → 72
Calls

3 calls:

85.0ms
(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 b (*.f64 b 4) -1))
69.0ms
(pow.f64 (hypot.f64 a b) 4)
25.0ms
(hypot.f64 a b)

rewrite19.0ms (0.5%)

Algorithm
1×rewrite-expression-head
Rules
9×*-un-lft-identity_binary64
7×fma-def_binary64
7×add-sqr-sqrt_binary64
7×add-cube-cbrt_binary64
6×unpow-prod-down_binary64
Counts
3 → 52
Calls

3 calls:

12.0ms
(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 b (*.f64 b 4) -1))
3.0ms
(pow.f64 (hypot.f64 a b) 4)
1.0ms
(hypot.f64 a b)

simplify163.0ms (4.3%)

Algorithm
1×egg-herbie
Rules
785×fma-neg_binary64
421×fma-def_binary64
280×associate-*r*_binary64
276×associate-*l*_binary64
184×times-frac_binary64
Counts
124 → 113
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01302123
13432010
29791901
340701899
449221899
549441899

prune209.0ms (5.5%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1112113
Fresh101
Picked101
Done000
Total1132115
Error
0b
Counts
115 → 2
Alt Table
StatusErrorProgram
14.0b
(fma.f64 b (*.f64 b (fma.f64 b b 4)) -1)
▶0.0b
(+.f64 (pow.f64 a 4) (+.f64 (fma.f64 (*.f64 b b) (fma.f64 2 (*.f64 a a) 4) (pow.f64 b 4)) -1))
Compiler

Compiled 2323 to 1487 computations (36% saved)

localize25.0ms (0.6%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (fma.f64 (*.f64 b b) (fma.f64 2 (*.f64 a a) 4) (pow.f64 b 4)) -1)
✓2.3b
(fma.f64 (*.f64 b b) (fma.f64 2 (*.f64 a a) 4) (pow.f64 b 4))

series85.0ms (2.2%)

Counts
2 → 48
Calls

2 calls:

46.0ms
(fma.f64 (*.f64 b b) (fma.f64 2 (*.f64 a a) 4) (pow.f64 b 4))
39.0ms
(+.f64 (fma.f64 (*.f64 b b) (fma.f64 2 (*.f64 a a) 4) (pow.f64 b 4)) -1)

rewrite10.0ms (0.3%)

Algorithm
1×rewrite-expression-head
Rules
5×*-un-lft-identity_binary64
4×add-sqr-sqrt_binary64
4×add-log-exp_binary64
3×fma-def_binary64
3×add-cube-cbrt_binary64
Counts
2 → 29
Calls

2 calls:

5.0ms
(+.f64 (fma.f64 (*.f64 b b) (fma.f64 2 (*.f64 a a) 4) (pow.f64 b 4)) -1)
1.0ms
(fma.f64 (*.f64 b b) (fma.f64 2 (*.f64 a a) 4) (pow.f64 b 4))

simplify126.0ms (3.3%)

Algorithm
1×egg-herbie
Rules
537×sub-neg_binary64
425×unsub-neg_binary64
360×*-commutative_binary64
285×exp-prod_binary64
273×cancel-sign-sub-inv_binary64
Counts
77 → 63
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0611758
11351492
23231471
315611469
436161469
552051469

prune126.0ms (3.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New62163
Fresh101
Picked011
Done000
Total63265
Error
0b
Counts
65 → 2
Alt Table
StatusErrorProgram
▶0.1b
(+.f64 (pow.f64 a 4) (fma.f64 b (*.f64 b (fma.f64 b b 4)) -1))
✓0.0b
(+.f64 (pow.f64 a 4) (+.f64 (fma.f64 (*.f64 b b) (fma.f64 2 (*.f64 a a) 4) (pow.f64 b 4)) -1))
Compiler

Compiled 1747 to 1074 computations (38.5% saved)

localize17.0ms (0.4%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(fma.f64 b (*.f64 b (fma.f64 b b 4)) -1)
✓0.0b
(*.f64 b (fma.f64 b b 4))

series11.0ms (0.3%)

Counts
2 → 24
Calls

2 calls:

5.0ms
(fma.f64 b (*.f64 b (fma.f64 b b 4)) -1)
5.0ms
(*.f64 b (fma.f64 b b 4))

rewrite8.0ms (0.2%)

Algorithm
1×rewrite-expression-head
Rules
6×add-sqr-sqrt_binary64
4×*-un-lft-identity_binary64
4×add-cube-cbrt_binary64
4×add-cbrt-cube_binary64
4×add-exp-log_binary64
Counts
2 → 32
Calls

2 calls:

5.0ms
(*.f64 b (fma.f64 b b 4))
1.0ms
(fma.f64 b (*.f64 b (fma.f64 b b 4)) -1)

simplify119.0ms (3.1%)

Algorithm
1×egg-herbie
Rules
784×fma-neg_binary64
764×fma-def_binary64
404×associate-+l+_binary64
395×unswap-sqr_binary64
359×associate-+r+_binary64
Counts
56 → 63
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
059650
1111579
2299579
3963579
42085579
53908579
64988579
74818579

prune122.0ms (3.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New63063
Fresh000
Picked011
Done011
Total63265
Error
0b
Counts
65 → 2
Alt Table
StatusErrorProgram
✓0.1b
(+.f64 (pow.f64 a 4) (fma.f64 b (*.f64 b (fma.f64 b b 4)) -1))
✓0.0b
(+.f64 (pow.f64 a 4) (+.f64 (fma.f64 (*.f64 b b) (fma.f64 2 (*.f64 a a) 4) (pow.f64 b 4)) -1))
Compiler

Compiled 1124 to 752 computations (33.1% saved)

regimes1.0s (27.4%)

Accuracy

Total 0.0b remaining (49.6%)

Threshold costs 0.0b (49.6%)

Counts
93 → 1
Compiler

Compiled 9598 to 7062 computations (26.4% saved)

simplify4.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
3×+-commutative_binary64
3×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01735
12335
22335

end1.0ms (0%)

Compiler

Compiled 26 to 20 computations (23.1% saved)

sample1.3s (33%)

Algorithm
1×intervals
Results
768.0ms8000×body128valid
0.0ms4×body128invalid
Compiler

Compiled 84 to 60 computations (28.6% saved)

Profiling

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