Details

Time bar (total: 1.6s)

analyze3.0ms (0.2%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
50%25%25%4
62.5%12.5%25%5
68.7%6.2%25%6
71.8%3.1%25%7
73.4%1.6%25%8
74.2%0.8%25%9
74.6%0.4%25%10
74.8%0.2%25%11
74.9%0.1%25%12
74.9%0%25.1%13
74.9%0%25.1%14
Compiler

Compiled 7 to 5 computations (28.6% saved)

sample602.0ms (38.3%)

Results
575.0ms8256×body128valid
0.0ms2×body128invalid
Compiler

Compiled 20 to 14 computations (30% saved)

simplify7.0ms (0.4%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
057
177
2107
3107

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
0.2b
Counts
3 → 1
Alt Table
StatusErrorProgram
▶0.2b
(*.f64 (*.f64 x 3) x)
Compiler

Compiled 23 to 15 computations (34.8% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series2.0ms (0.2%)

Counts
1 → 12
Calls

1 calls:

2.0ms
(*.f64 (*.f64 x 3) x)

rewrite4.0ms (0.3%)

Algorithm
1×rewrite-expression-head
Rules
6×add-cbrt-cube_binary64
6×add-exp-log_binary64
6×pow1_binary64
3×associate-*r*_binary64
3×cbrt-unprod_binary64
Counts
1 → 20
Calls

1 calls:

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

simplify67.0ms (4.3%)

Algorithm
1×egg-herbie
Rules
793×fma-def_binary64
445×times-frac_binary64
424×distribute-rgt-in_binary64
318×associate-*l*_binary64
257×sqr-pow_binary64
Counts
32 → 31
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
042296
189260
2280251
3551249
4764249
51314249
62592249
74883249
84953249

prune22.0ms (1.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New26531
Fresh000
Picked011
Done000
Total26632
Error
0.0b
Counts
32 → 6
Alt Table
StatusErrorProgram
0.9b
(*.f64 (*.f64 (*.f64 x 3) (*.f64 (cbrt.f64 x) (cbrt.f64 x))) (cbrt.f64 x))
35.2b
(*.f64 (*.f64 (*.f64 x 3) (sqrt.f64 x)) (sqrt.f64 x))
✓0.2b
(*.f64 (*.f64 x 3) x)
0.9b
(*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 x 3) x)) (cbrt.f64 (*.f64 (*.f64 x 3) x))) (cbrt.f64 (*.f64 (*.f64 x 3) x)))
0.4b
(*.f64 (sqrt.f64 (*.f64 (*.f64 x 3) x)) (sqrt.f64 (*.f64 (*.f64 x 3) x)))
▶0.2b
(*.f64 3 (pow.f64 x 2))
Compiler

Compiled 428 to 270 computations (36.9% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 3 (pow.f64 x 2))

series3.0ms (0.2%)

Counts
1 → 0
Calls

1 calls:

2.0ms
(*.f64 3 (pow.f64 x 2))

rewrite5.0ms (0.3%)

Algorithm
1×rewrite-expression-head
Rules
10×add-sqr-sqrt_binary64
8×associate-*r*_binary64
6×add-exp-log_binary64
4×unswap-sqr_binary64
4×unpow-prod-down_binary64
Counts
1 → 29
Calls

1 calls:

4.0ms
(*.f64 3 (pow.f64 x 2))

simplify96.0ms (6.1%)

Algorithm
1×egg-herbie
Rules
656×unswap-sqr_binary64
445×exp-prod_binary64
443×log-prod_binary64
398×cube-prod_binary64
337×*-commutative_binary64
Counts
29 → 45
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
055321
197249
2197239
3636233
41074233
52909233
63983233
74567233
84972233
94879233

prune36.0ms (2.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New44145
Fresh134
Picked011
Done011
Total45651
Error
0.0b
Counts
51 → 6
Alt Table
StatusErrorProgram
0.6b
(*.f64 (*.f64 3 (*.f64 x (cbrt.f64 x))) (cbrt.f64 (pow.f64 x 2)))
35.2b
(*.f64 (*.f64 (*.f64 x 3) (sqrt.f64 x)) (sqrt.f64 x))
✓0.2b
(*.f64 (*.f64 x 3) x)
0.9b
(*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 x 3) x)) (cbrt.f64 (*.f64 (*.f64 x 3) x))) (cbrt.f64 (*.f64 (*.f64 x 3) x)))
▶0.4b
(*.f64 (sqrt.f64 (*.f64 (*.f64 x 3) x)) (sqrt.f64 (*.f64 (*.f64 x 3) x)))
✓0.2b
(*.f64 3 (pow.f64 x 2))
Compiler

Compiled 586 to 440 computations (24.9% saved)

localize5.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (*.f64 x 3) x)
✓0.3b
(*.f64 (sqrt.f64 (*.f64 (*.f64 x 3) x)) (sqrt.f64 (*.f64 (*.f64 x 3) x)))
✓17.5b
(sqrt.f64 (*.f64 (*.f64 x 3) x))

series10.0ms (0.7%)

Counts
2 → 24
Calls

2 calls:

7.0ms
(*.f64 (sqrt.f64 (*.f64 (*.f64 x 3) x)) (sqrt.f64 (*.f64 (*.f64 x 3) x)))
3.0ms
(sqrt.f64 (*.f64 (*.f64 x 3) x))

rewrite21.0ms (1.4%)

Algorithm
1×rewrite-expression-head
Rules
135×pow1_binary64
74×pow-prod-down_binary64
63×sqrt-pow1_binary64
17×pow-prod-up_binary64
13×pow1/2_binary64
Counts
2 → 82
Calls

2 calls:

11.0ms
(*.f64 (sqrt.f64 (*.f64 (*.f64 x 3) x)) (sqrt.f64 (*.f64 (*.f64 x 3) x)))
2.0ms
(sqrt.f64 (*.f64 (*.f64 x 3) x))

simplify77.0ms (4.9%)

Algorithm
1×egg-herbie
Rules
638×associate-*l*_binary64
589×fma-def_binary64
509×sqr-pow_binary64
437×associate-*r*_binary64
299×swap-sqr_binary64
Counts
106 → 82
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
056957
198797
2322747
31763642
42226584
53697584
65027584

prune118.0ms (7.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1661167
Fresh033
Picked101
Done022
Total1676173
Error
0b
Counts
173 → 6
Alt Table
StatusErrorProgram
▶0.6b
(*.f64 (*.f64 3 (*.f64 x (cbrt.f64 x))) (cbrt.f64 (pow.f64 x 2)))
19.6b
(*.f64 (sqrt.f64 (*.f64 (*.f64 x 3) x)) (neg.f64 (*.f64 (sqrt.f64 3) x)))
35.2b
(*.f64 (*.f64 (*.f64 x 3) (sqrt.f64 x)) (sqrt.f64 x))
✓0.2b
(*.f64 (*.f64 x 3) x)
0.9b
(*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 x 3) x)) (cbrt.f64 (*.f64 (*.f64 x 3) x))) (cbrt.f64 (*.f64 (*.f64 x 3) x)))
✓0.2b
(*.f64 3 (pow.f64 x 2))
Compiler

Compiled 2827 to 1999 computations (29.3% saved)

localize12.0ms (0.8%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 (*.f64 3 (*.f64 x (cbrt.f64 x))) (cbrt.f64 (pow.f64 x 2)))
✓0.2b
(*.f64 3 (*.f64 x (cbrt.f64 x)))
✓0.6b
(cbrt.f64 x)
✓18.2b
(cbrt.f64 (pow.f64 x 2))

series116.0ms (7.4%)

Counts
4 → 48
Calls

4 calls:

40.0ms
(*.f64 3 (*.f64 x (cbrt.f64 x)))
36.0ms
(cbrt.f64 (pow.f64 x 2))
30.0ms
(cbrt.f64 x)
9.0ms
(*.f64 (*.f64 3 (*.f64 x (cbrt.f64 x))) (cbrt.f64 (pow.f64 x 2)))

rewrite19.0ms (1.2%)

Algorithm
1×rewrite-expression-head
Rules
19×cbrt-prod_binary64
18×add-exp-log_binary64
18×pow1_binary64
13×add-cbrt-cube_binary64
12×associate-*r*_binary64
Counts
4 → 82
Calls

4 calls:

9.0ms
(*.f64 (*.f64 3 (*.f64 x (cbrt.f64 x))) (cbrt.f64 (pow.f64 x 2)))
4.0ms
(*.f64 3 (*.f64 x (cbrt.f64 x)))
1.0ms
(cbrt.f64 (pow.f64 x 2))
1.0ms
(cbrt.f64 x)

simplify114.0ms (7.2%)

Algorithm
1×egg-herbie
Rules
586×*-commutative_binary64
468×log-prod_binary64
434×associate-+l+_binary64
335×unswap-sqr_binary64
325×fma-def_binary64
Counts
130 → 128
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01201491
12481194
29891090
32088942
43327938
54627938
64969938
74731938

prune81.0ms (5.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1271128
Fresh123
Picked101
Done022
Total1295134
Error
0b
Counts
134 → 5
Alt Table
StatusErrorProgram
19.6b
(*.f64 (sqrt.f64 (*.f64 (*.f64 x 3) x)) (neg.f64 (*.f64 (sqrt.f64 3) x)))
35.2b
(*.f64 (*.f64 (*.f64 x 3) (sqrt.f64 x)) (sqrt.f64 x))
✓0.2b
(*.f64 (*.f64 x 3) x)
0.7b
(*.f64 (*.f64 (*.f64 3 (*.f64 x (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 (pow.f64 x 2)))) (sqrt.f64 (cbrt.f64 (pow.f64 x 2))))
✓0.2b
(*.f64 3 (pow.f64 x 2))
Compiler

Compiled 1967 to 1275 computations (35.2% saved)

regimes81.0ms (5.2%)

Accuracy

Total 0.2b remaining (82.9%)

Threshold costs 0.2b (82.9%)

Counts
43 → 1
Compiler

Compiled 1130 to 858 computations (24.1% saved)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
2×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
177
277

end62.0ms (3.9%)

Compiler

Compiled 66 to 48 computations (27.3% saved)

Profiling

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