Details

Time bar (total: 1.9s)

analyze181.0ms (9.6%)

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
37.5%50%12.6%6
50%37.5%12.6%7
56.2%25%18.8%8
62.4%18.7%18.8%9
65.6%12.5%22%10
68.7%9.4%22%11
70.2%6.2%23.5%12
71.8%4.7%23.5%13
72.6%3.1%24.3%14
Compiler

Compiled 10 to 7 computations (30% saved)

sample863.0ms (45.9%)

Results
809.0ms8256×body128valid
6.0ms74×body128invalid
Compiler

Compiled 29 to 20 computations (31% saved)

simplify20.0ms (1%)

Algorithm
1×egg-herbie
Rules
265×fma-def_binary64
84×fma-neg_binary64
35×distribute-rgt-in_binary64
26×unsub-neg_binary64
25×sub-neg_binary64
Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
11610
23110
36310
413410
518310
623610
732810
836010
935910
1038910
1134610

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.1b
Counts
2 → 1
Alt Table
StatusErrorProgram
▶0.1b
(*.f64 x (-.f64 1 (*.f64 x y)))
Compiler

Compiled 27 to 18 computations (33.3% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 x (-.f64 1 (*.f64 x y)))

series9.0ms (0.5%)

Counts
1 → 24
Calls

1 calls:

9.0ms
(*.f64 x (-.f64 1 (*.f64 x y)))

rewrite6.0ms (0.3%)

Algorithm
1×rewrite-expression-head
Rules
7×add-sqr-sqrt_binary64
6×prod-diff_binary64
5×distribute-lft-in_binary64
5×distribute-rgt-in_binary64
5×*-un-lft-identity_binary64
Counts
1 → 32
Calls

1 calls:

4.0ms
(*.f64 x (-.f64 1 (*.f64 x y)))

simplify59.0ms (3.1%)

Algorithm
1×egg-herbie
Rules
888×fma-def_binary64
584×unsub-neg_binary64
561×distribute-neg-out_binary64
311×associate-*l*_binary64
293×unswap-sqr_binary64
Counts
56 → 51
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
069723
1140663
2421626
31318606
42818606
55568606

prune36.0ms (1.9%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New47451
Fresh000
Picked101
Done000
Total48452
Error
0.0b
Counts
52 → 4
Alt Table
StatusErrorProgram
8.9b
(*.f64 (*.f64 x (sqrt.f64 (-.f64 1 (*.f64 x y)))) (sqrt.f64 (-.f64 1 (*.f64 x y))))
▶0.1b
(+.f64 (*.f64 1 x) (*.f64 (neg.f64 (*.f64 x y)) x))
0.1b
(+.f64 (*.f64 (fma.f64 1 1 (neg.f64 (*.f64 y x))) x) (*.f64 (fma.f64 (neg.f64 y) x (*.f64 y x)) x))
8.0b
(-.f64 x (*.f64 y (pow.f64 x 2)))
Compiler

Compiled 814 to 367 computations (54.9% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (*.f64 1 x) (*.f64 (neg.f64 (*.f64 x y)) x))
✓0.2b
(*.f64 (neg.f64 (*.f64 x y)) x)

series19.0ms (1%)

Counts
2 → 48
Calls

2 calls:

10.0ms
(*.f64 (neg.f64 (*.f64 x y)) x)
9.0ms
(+.f64 (*.f64 1 x) (*.f64 (neg.f64 (*.f64 x y)) x))

rewrite8.0ms (0.4%)

Algorithm
1×rewrite-expression-head
Rules
6×associate-*l*_binary64
6×add-sqr-sqrt_binary64
4×*-un-lft-identity_binary64
4×add-cube-cbrt_binary64
4×add-cbrt-cube_binary64
Counts
2 → 40
Calls

2 calls:

3.0ms
(*.f64 (neg.f64 (*.f64 x y)) x)
3.0ms
(+.f64 (*.f64 1 x) (*.f64 (neg.f64 (*.f64 x y)) x))

simplify97.0ms (5.2%)

Algorithm
1×egg-herbie
Rules
786×unsub-neg_binary64
423×times-frac_binary64
380×neg-sub0_binary64
365×neg-mul-1_binary64
320×distribute-lft-neg-out_binary64
Counts
88 → 70
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
069933
1189909
2748899
32086893
43687893
54607893
65301893

prune49.0ms (2.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New70070
Fresh033
Picked011
Done000
Total70474
Error
0.0b
Counts
74 → 4
Alt Table
StatusErrorProgram
8.9b
(*.f64 (*.f64 x (sqrt.f64 (-.f64 1 (*.f64 x y)))) (sqrt.f64 (-.f64 1 (*.f64 x y))))
✓0.1b
(+.f64 (*.f64 1 x) (*.f64 (neg.f64 (*.f64 x y)) x))
▶0.1b
(+.f64 (*.f64 (fma.f64 1 1 (neg.f64 (*.f64 y x))) x) (*.f64 (fma.f64 (neg.f64 y) x (*.f64 y x)) x))
8.0b
(-.f64 x (*.f64 y (pow.f64 x 2)))
Compiler

Compiled 1164 to 452 computations (61.2% saved)

localize11.0ms (0.6%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 (fma.f64 1 1 (neg.f64 (*.f64 y x))) x)
✓51.4b
(fma.f64 (neg.f64 y) x (*.f64 y x))

series17.0ms (0.9%)

Counts
2 → 48
Calls

2 calls:

9.0ms
(*.f64 (fma.f64 1 1 (neg.f64 (*.f64 y x))) x)
8.0ms
(fma.f64 (neg.f64 y) x (*.f64 y x))

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 → 30
Calls

2 calls:

3.0ms
(*.f64 (fma.f64 1 1 (neg.f64 (*.f64 y x))) x)
0.0ms
(fma.f64 (neg.f64 y) x (*.f64 y x))

simplify90.0ms (4.8%)

Algorithm
1×egg-herbie
Rules
818×fma-def_binary64
640×distribute-rgt-in_binary64
588×distribute-lft-in_binary64
390×distribute-neg-out_binary64
231×associate-*l*_binary64
Counts
78 → 57
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
055703
1103588
2289532
3919532
43223532
54764532
64997532
74847532

prune43.0ms (2.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New57057
Fresh022
Picked011
Done011
Total57461
Error
0.0b
Counts
61 → 4
Alt Table
StatusErrorProgram
8.9b
(*.f64 (*.f64 x (sqrt.f64 (-.f64 1 (*.f64 x y)))) (sqrt.f64 (-.f64 1 (*.f64 x y))))
✓0.1b
(+.f64 (*.f64 1 x) (*.f64 (neg.f64 (*.f64 x y)) x))
✓0.1b
(+.f64 (*.f64 (fma.f64 1 1 (neg.f64 (*.f64 y x))) x) (*.f64 (fma.f64 (neg.f64 y) x (*.f64 y x)) x))
▶8.0b
(-.f64 x (*.f64 y (pow.f64 x 2)))
Compiler

Compiled 1398 to 500 computations (64.2% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 x (*.f64 y (pow.f64 x 2)))
✓10.9b
(*.f64 y (pow.f64 x 2))

series19.0ms (1%)

Counts
2 → 6
Calls

2 calls:

11.0ms
(*.f64 y (pow.f64 x 2))
8.0ms
(-.f64 x (*.f64 y (pow.f64 x 2)))

rewrite9.0ms (0.5%)

Algorithm
1×rewrite-expression-head
Rules
13×add-sqr-sqrt_binary64
8×associate-*r*_binary64
7×*-un-lft-identity_binary64
7×add-cube-cbrt_binary64
7×add-exp-log_binary64
Counts
2 → 49
Calls

2 calls:

4.0ms
(*.f64 y (pow.f64 x 2))
3.0ms
(-.f64 x (*.f64 y (pow.f64 x 2)))

simplify93.0ms (5%)

Algorithm
1×egg-herbie
Rules
518×fma-neg_binary64
448×associate-*l*_binary64
412×unswap-sqr_binary64
398×associate-*r*_binary64
375×distribute-rgt-neg-in_binary64
Counts
55 → 82
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
087730
1176586
2495558
32159558
44134558
54989558
64819558

prune55.0ms (2.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New82082
Fresh011
Picked011
Done022
Total82486
Error
0.0b
Counts
86 → 4
Alt Table
StatusErrorProgram
8.9b
(*.f64 (*.f64 x (sqrt.f64 (-.f64 1 (*.f64 x y)))) (sqrt.f64 (-.f64 1 (*.f64 x y))))
✓0.1b
(+.f64 (*.f64 1 x) (*.f64 (neg.f64 (*.f64 x y)) x))
✓0.1b
(+.f64 (*.f64 (fma.f64 1 1 (neg.f64 (*.f64 y x))) x) (*.f64 (fma.f64 (neg.f64 y) x (*.f64 y x)) x))
✓8.0b
(-.f64 x (*.f64 y (pow.f64 x 2)))
Compiler

Compiled 1121 to 568 computations (49.3% saved)

regimes109.0ms (5.8%)

Accuracy

Total 0.1b remaining (72.2%)

Threshold costs 0.1b (72.2%)

Counts
37 → 1
Compiler

Compiled 1643 to 1031 computations (37.2% saved)

simplify3.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
7×*-commutative_binary64
5×+-commutative_binary64
5×distribute-rgt-neg-in_binary64
4×distribute-lft-neg-in_binary64
4×sub-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0912
12410
24110
34810
45110
54910

end66.0ms (3.5%)

Compiler

Compiled 77 to 47 computations (39% saved)

Profiling

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