Details

Time bar (total: 1.7s)

analyze91.0ms (5.4%)

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%62.4%0.1%6
50%37.5%12.6%7
56.2%31.2%12.6%8
62.4%18.7%18.8%9
65.6%15.6%18.8%10
68.7%9.4%22%11
70.2%7.8%22%12
71.8%4.7%23.5%13
72.6%3.9%23.5%14
Compiler

Compiled 10 to 7 computations (30% saved)

sample756.0ms (44.6%)

Results
707.0ms8256×body128valid
18.0ms230×body128invalid
Compiler

Compiled 29 to 20 computations (31% saved)

simplify6.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
13×associate-*l*_binary64
11×associate-*r*_binary64
10×*-commutative_binary64
Counts
1 → 2
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
11410
22810
33610
43510
53510

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
0.3b
Counts
3 → 1
Alt Table
StatusErrorProgram
▶0.3b
(*.f64 (*.f64 (*.f64 x 3) y) y)
Compiler

Compiled 34 to 22 computations (35.3% saved)

localize7.0ms (0.4%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 (*.f64 (*.f64 x 3) y) y)
✓0.2b
(*.f64 (*.f64 x 3) y)

series13.0ms (0.8%)

Counts
2 → 48
Calls

2 calls:

9.0ms
(*.f64 (*.f64 (*.f64 x 3) y) y)
4.0ms
(*.f64 (*.f64 x 3) y)

rewrite15.0ms (0.9%)

Algorithm
1×rewrite-expression-head
Rules
16×add-cbrt-cube_binary64
16×add-exp-log_binary64
16×pow1_binary64
9×cbrt-unprod_binary64
9×prod-exp_binary64
Counts
2 → 43
Calls

2 calls:

9.0ms
(*.f64 (*.f64 (*.f64 x 3) y) y)
3.0ms
(*.f64 (*.f64 x 3) y)

simplify80.0ms (4.7%)

Algorithm
1×egg-herbie
Rules
665×fma-def_binary64
371×associate-*r/_binary64
317×*-commutative_binary64
296×associate-*l/_binary64
272×associate-/l*_binary64
Counts
91 → 63
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
068960
1166852
2587852
3878850
41232850
52115850
64694850
74991850

prune49.0ms (2.9%)

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New54963
Fresh000
Picked011
Done000
Total541064
Error
0.0b
Counts
64 → 10
Alt Table
StatusErrorProgram
✓0.3b
(*.f64 (*.f64 (*.f64 x 3) y) y)
▶0.3b
(*.f64 (*.f64 x (*.f64 3 y)) y)
31.9b
(*.f64 (*.f64 3 (*.f64 x (pow.f64 y 3/2))) (sqrt.f64 y))
11.5b
(*.f64 3 (*.f64 (pow.f64 y 2) x))
25.2b
(*.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 x 3) y)) (sqrt.f64 (*.f64 (*.f64 x 3) y))) y)
0.9b
(*.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 x 3) y)) (cbrt.f64 (*.f64 (*.f64 x 3) y))) (cbrt.f64 (*.f64 (*.f64 x 3) y))) y)
0.3b
(*.f64 3 (*.f64 y (*.f64 y x)))
11.5b
(*.f64 (*.f64 x 3) (*.f64 y y))
22.7b
(*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 x 3) y) y)) (sqrt.f64 (*.f64 (*.f64 (*.f64 x 3) y) y)))
34.0b
(cbrt.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x 3) y) (*.f64 (*.f64 x 3) y)) (*.f64 (*.f64 x 3) y)) (*.f64 (*.f64 y y) y)))
Compiler

Compiled 1047 to 621 computations (40.7% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 (*.f64 x (*.f64 3 y)) y)
✓0.2b
(*.f64 x (*.f64 3 y))

series15.0ms (0.9%)

Counts
2 → 48
Calls

2 calls:

9.0ms
(*.f64 (*.f64 x (*.f64 3 y)) y)
6.0ms
(*.f64 x (*.f64 3 y))

rewrite10.0ms (0.6%)

Algorithm
1×rewrite-expression-head
Rules
16×add-cbrt-cube_binary64
16×add-exp-log_binary64
16×pow1_binary64
9×cbrt-unprod_binary64
9×prod-exp_binary64
Counts
2 → 43
Calls

2 calls:

5.0ms
(*.f64 (*.f64 x (*.f64 3 y)) y)
3.0ms
(*.f64 x (*.f64 3 y))

simplify79.0ms (4.7%)

Algorithm
1×egg-herbie
Rules
687×fma-def_binary64
412×*-commutative_binary64
332×associate-*r/_binary64
298×associate-/l*_binary64
279×associate-/l/_binary64
Counts
91 → 64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
070961
1165853
2671853
3981851
41367851
52292851
64887851
75170851

prune54.0ms (3.2%)

Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New62264
Fresh268
Picked011
Done011
Total641074
Error
0.0b
Counts
74 → 10
Alt Table
StatusErrorProgram
✓0.3b
(*.f64 (*.f64 (*.f64 x 3) y) y)
✓0.3b
(*.f64 (*.f64 x (*.f64 3 y)) y)
25.2b
(*.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 x 3) y)) (sqrt.f64 (*.f64 (*.f64 x 3) y))) y)
0.9b
(*.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 x 3) y)) (cbrt.f64 (*.f64 (*.f64 x 3) y))) (cbrt.f64 (*.f64 (*.f64 x 3) y))) y)
▶0.3b
(*.f64 3 (*.f64 y (*.f64 y x)))
11.5b
(*.f64 x (*.f64 3 (*.f64 y y)))
11.5b
(*.f64 x (*.f64 (*.f64 3 y) y))
11.5b
(*.f64 (*.f64 x 3) (*.f64 y y))
22.7b
(*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 x 3) y) y)) (sqrt.f64 (*.f64 (*.f64 (*.f64 x 3) y) y)))
34.0b
(cbrt.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x 3) y) (*.f64 (*.f64 x 3) y)) (*.f64 (*.f64 x 3) y)) (*.f64 (*.f64 y y) y)))
Compiler

Compiled 1039 to 612 computations (41.1% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 y (*.f64 y x))
✓0.2b
(*.f64 3 (*.f64 y (*.f64 y x)))

series16.0ms (0.9%)

Counts
2 → 48
Calls

2 calls:

9.0ms
(*.f64 3 (*.f64 y (*.f64 y x)))
7.0ms
(*.f64 y (*.f64 y x))

rewrite11.0ms (0.6%)

Algorithm
1×rewrite-expression-head
Rules
16×add-cbrt-cube_binary64
16×add-exp-log_binary64
16×pow1_binary64
9×cbrt-unprod_binary64
9×prod-exp_binary64
Counts
2 → 43
Calls

2 calls:

5.0ms
(*.f64 3 (*.f64 y (*.f64 y x)))
3.0ms
(*.f64 y (*.f64 y x))

simplify98.0ms (5.8%)

Algorithm
1×egg-herbie
Rules
475×unswap-sqr_binary64
366×times-frac_binary64
338×associate-+l+_binary64
333×sqr-pow_binary64
318×*-commutative_binary64
Counts
91 → 61
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
064965
1143848
2504848
3772846
41133846
52151846
63985846
74494846
84862846

prune45.0ms (2.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New59261
Fresh437
Picked011
Done112
Total64771
Error
0.0b
Counts
71 → 7
Alt Table
StatusErrorProgram
✓0.3b
(*.f64 (*.f64 x (*.f64 3 y)) y)
25.2b
(*.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 x 3) y)) (sqrt.f64 (*.f64 (*.f64 x 3) y))) y)
✓0.3b
(*.f64 3 (*.f64 y (*.f64 y x)))
11.5b
(*.f64 x (*.f64 3 (*.f64 y y)))
▶0.3b
(*.f64 (*.f64 3 y) (*.f64 y x))
22.7b
(*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 x 3) y) y)) (sqrt.f64 (*.f64 (*.f64 (*.f64 x 3) y) y)))
0.3b
(*.f64 (*.f64 (cbrt.f64 3) (cbrt.f64 3)) (*.f64 (cbrt.f64 3) (*.f64 y (*.f64 y x))))
Compiler

Compiled 914 to 424 computations (53.6% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.3b
(*.f64 (*.f64 3 y) (*.f64 y x))

series9.0ms (0.5%)

Counts
1 → 24
Calls

1 calls:

9.0ms
(*.f64 (*.f64 3 y) (*.f64 y x))

rewrite6.0ms (0.3%)

Algorithm
1×rewrite-expression-head
Rules
13×add-cbrt-cube_binary64
13×add-exp-log_binary64
13×pow1_binary64
8×cbrt-unprod_binary64
8×prod-exp_binary64
Counts
1 → 24
Calls

1 calls:

4.0ms
(*.f64 (*.f64 3 y) (*.f64 y x))

simplify90.0ms (5.3%)

Algorithm
1×egg-herbie
Rules
431×distribute-rgt-in_binary64
388×distribute-lft-in_binary64
343×associate-+l+_binary64
323×*-commutative_binary64
312×unswap-sqr_binary64
Counts
48 → 31
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
051607
1122517
2473517
3709517
41021517
51822517
63315517
74730517
84999517
94890517

prune24.0ms (1.4%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New31031
Fresh044
Picked011
Done022
Total31738
Error
0.0b
Counts
38 → 7
Alt Table
StatusErrorProgram
✓0.3b
(*.f64 (*.f64 x (*.f64 3 y)) y)
25.2b
(*.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 x 3) y)) (sqrt.f64 (*.f64 (*.f64 x 3) y))) y)
✓0.3b
(*.f64 3 (*.f64 y (*.f64 y x)))
11.5b
(*.f64 x (*.f64 3 (*.f64 y y)))
✓0.3b
(*.f64 (*.f64 3 y) (*.f64 y x))
22.7b
(*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 x 3) y) y)) (sqrt.f64 (*.f64 (*.f64 (*.f64 x 3) y) y)))
0.3b
(*.f64 (*.f64 (cbrt.f64 3) (cbrt.f64 3)) (*.f64 (cbrt.f64 3) (*.f64 y (*.f64 y x))))
Compiler

Compiled 491 to 261 computations (46.8% saved)

regimes133.0ms (7.8%)

Accuracy

Total 0.2b remaining (93.8%)

Threshold costs 0.2b (93.8%)

Counts
34 → 1
Compiler

Compiled 2132 to 1460 computations (31.5% saved)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
4×*-commutative_binary64
1×*-lft-identity_binary64
1×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0910
11510
21410

end74.0ms (4.4%)

Compiler

Compiled 106 to 74 computations (30.2% saved)

Profiling

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