Details

Time bar (total: 2.4s)

analyze163.0ms (6.8%)

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
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)

sample138.0ms (5.8%)

Algorithm
1×intervals
Results
13.0ms256×body128valid
Compiler

Compiled 41 to 27 computations (34.1% saved)

simplify42.0ms (1.8%)

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

prune4.0ms (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
▶0.0b
(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 b (*.f64 b 4) -1))
0.2b
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2) (*.f64 4 (*.f64 b b))) 1)
Compiler

Compiled 97 to 64 computations (34% saved)

localize8.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

series86.0ms (3.6%)

Counts
3 → 72
Calls

3 calls:

40.0ms
(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 b (*.f64 b 4) -1))
34.0ms
(pow.f64 (hypot.f64 a b) 4)
11.0ms
(hypot.f64 a b)

rewrite8.0ms (0.3%)

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

3 calls:

4.0ms
(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 b (*.f64 b 4) -1))
1.0ms
(pow.f64 (hypot.f64 a b) 4)
0.0ms
(hypot.f64 a b)

simplify96.0ms (4%)

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 → 120
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01302123
13432010
29791901
340701899
449221899
549441899

prune111.0ms (4.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1182120
Fresh101
Picked101
Done000
Total1202122
Error
0b
Counts
122 → 2
Alt Table
StatusErrorProgram
9.3b
(fma.f64 b (*.f64 b (fma.f64 b b 4)) -1)
▶0.0b
(+.f64 (fma.f64 (*.f64 b b) (fma.f64 2 (*.f64 a a) 4) (pow.f64 b 4)) (-.f64 (pow.f64 a 4) 1))
Compiler

Compiled 2433 to 1538 computations (36.8% saved)

localize13.0ms (0.5%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.3b
(fma.f64 (*.f64 b b) (fma.f64 2 (*.f64 a a) 4) (pow.f64 b 4))

series22.0ms (0.9%)

Counts
1 → 24
Calls

1 calls:

21.0ms
(fma.f64 (*.f64 b b) (fma.f64 2 (*.f64 a a) 4) (pow.f64 b 4))

rewrite1.0ms (0%)

Algorithm
1×rewrite-expression-head
Rules
1×*-un-lft-identity_binary64
1×add-sqr-sqrt_binary64
1×add-cube-cbrt_binary64
1×add-cbrt-cube_binary64
1×add-exp-log_binary64
Counts
1 → 10
Calls

1 calls:

0.0ms
(fma.f64 (*.f64 b b) (fma.f64 2 (*.f64 a a) 4) (pow.f64 b 4))

simplify56.0ms (2.3%)

Algorithm
1×egg-herbie
Rules
836×associate-*l*_binary64
694×associate-*r*_binary64
472×unswap-sqr_binary64
415×exp-prod_binary64
398×distribute-rgt-in_binary64
Counts
34 → 27
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
030745
154600
2139600
3542600
43349600
55042600

prune27.0ms (1.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New27027
Fresh011
Picked011
Done000
Total27229
Error
0b
Counts
29 → 2
Alt Table
StatusErrorProgram
▶9.3b
(fma.f64 b (*.f64 b (fma.f64 b b 4)) -1)
✓0.0b
(+.f64 (fma.f64 (*.f64 b b) (fma.f64 2 (*.f64 a a) 4) (pow.f64 b 4)) (-.f64 (pow.f64 a 4) 1))
Compiler

Compiled 680 to 425 computations (37.5% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(fma.f64 b (*.f64 b (fma.f64 b b 4)) -1)
✓0.1b
(*.f64 b (fma.f64 b b 4))

series10.0ms (0.4%)

Counts
2 → 24
Calls

2 calls:

7.0ms
(*.f64 b (fma.f64 b b 4))
3.0ms
(fma.f64 b (*.f64 b (fma.f64 b b 4)) -1)

rewrite4.0ms (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:

3.0ms
(*.f64 b (fma.f64 b b 4))
0.0ms
(fma.f64 b (*.f64 b (fma.f64 b b 4)) -1)

simplify76.0ms (3.2%)

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

prune48.0ms (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
✓9.3b
(fma.f64 b (*.f64 b (fma.f64 b b 4)) -1)
✓0.0b
(+.f64 (fma.f64 (*.f64 b b) (fma.f64 2 (*.f64 a a) 4) (pow.f64 b 4)) (-.f64 (pow.f64 a 4) 1))
Compiler

Compiled 868 to 560 computations (35.5% saved)

regimes659.0ms (27.6%)

Accuracy

Total 0.0b remaining (44.2%)

Threshold costs 0.0b (44.2%)

Counts
95 → 1
Compiler

Compiled 9546 to 6975 computations (26.9% saved)

simplify3.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
4×+-commutative_binary64
3×*-commutative_binary64
1×sub-neg_binary64
1×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01737
12837
22937
32737

end1.0ms (0%)

Compiler

Compiled 27 to 22 computations (18.5% saved)

sample812.0ms (34%)

Algorithm
1×intervals
Results
539.0ms8000×body128valid
0.0ms3×body128invalid
Compiler

Compiled 81 to 59 computations (27.2% saved)

Profiling

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