Details

Time bar (total: 8.4s)

analyze867.0ms (10.3%)

Algorithm
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
0%99.9%0.1%5
0%99.9%0.1%6
12.5%87.4%0.1%7
18.7%81.1%0.1%8
23.4%71%5.6%9
35.1%56.2%8.7%10
41%49.9%9.1%11
45.1%41.2%13.7%12
52.6%31.2%16.2%13
56.3%27.3%16.4%14
Compiler

Compiled 11 to 7 computations (36.4% saved)

sample1.7s (20.1%)

Results
1.5s8256×body128valid
163.0ms978×body128invalid
Compiler

Compiled 32 to 20 computations (37.5% saved)

simplify12.0ms (0.1%)

Algorithm
egg-herbie
Rules
fma-def_binary64
+-commutative_binary64
*-commutative_binary64
associate-/l*_binary64
associate-/r/_binary64
Counts
1 → 2
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0710
11010
2128
3148
4158
5158

prune6.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0.1b
Counts
3 → 2
Alt Table
StatusErrorProgram
0.1b
(fma.f64 y (/.f64 y z) x)
8.1b
(+.f64 x (/.f64 (*.f64 y y) z))
Compiler

Compiled 54 to 30 computations (44.4% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.1b
(fma.f64 y (/.f64 y z) x)

series23.0ms (0.3%)

Counts
1 → 36
Calls

1 calls:

23.0ms
(fma.f64 y (/.f64 y z) x)

rewrite1.0ms (0%)

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

1 calls:

1.0ms
(fma.f64 y (/.f64 y z) x)

simplify83.0ms (1%)

Algorithm
egg-herbie
Rules
611×associate-/l/_binary64
604×associate-+l+_binary64
543×associate-*l*_binary64
462×fma-def_binary64
424×associate-/r*_binary64
Counts
46 → 17
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
020376
128359
259359
3151359
4551359
52861359
65394359

prune22.0ms (0.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New14317
Fresh011
Picked011
Done000
Total14519
Error
0.0b
Counts
19 → 5
Alt Table
StatusErrorProgram
31.3b
(*.f64 (sqrt.f64 (fma.f64 y (/.f64 y z) x)) (sqrt.f64 (fma.f64 y (/.f64 y z) x)))
1.3b
(*.f64 (*.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (fma.f64 y (/.f64 y z) x))) (cbrt.f64 (fma.f64 y (/.f64 y z) x)))
26.8b
(expm1.f64 (log1p.f64 (fma.f64 y (/.f64 y z) x)))
0.1b
(fma.f64 y (/.f64 y z) x)
8.1b
(+.f64 x (/.f64 (*.f64 y y) z))
Compiler

Compiled 296 to 101 computations (65.9% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(fma.f64 y (/.f64 y z) x)
0.3b
(*.f64 (*.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (fma.f64 y (/.f64 y z) x))) (cbrt.f64 (fma.f64 y (/.f64 y z) x)))
0.6b
(cbrt.f64 (fma.f64 y (/.f64 y z) x))
0.6b
(*.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (fma.f64 y (/.f64 y z) x)))

series216.0ms (2.6%)

Counts
3 → 108
Calls

3 calls:

106.0ms
(*.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (fma.f64 y (/.f64 y z) x)))
86.0ms
(cbrt.f64 (fma.f64 y (/.f64 y z) x))
24.0ms
(*.f64 (*.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (fma.f64 y (/.f64 y z) x))) (cbrt.f64 (fma.f64 y (/.f64 y z) x)))

rewrite37.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
29×pow1_binary64
24×add-sqr-sqrt_binary64
23×cbrt-prod_binary64
16×pow1/3_binary64
14×*-un-lft-identity_binary64
Counts
3 → 93
Calls

3 calls:

14.0ms
(*.f64 (*.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (fma.f64 y (/.f64 y z) x))) (cbrt.f64 (fma.f64 y (/.f64 y z) x)))
9.0ms
(*.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (fma.f64 y (/.f64 y z) x)))
1.0ms
(cbrt.f64 (fma.f64 y (/.f64 y z) x))

simplify315.0ms (3.8%)

Algorithm
egg-herbie
Rules
688×fma-def_binary64
298×associate-*r*_binary64
276×cancel-sign-sub-inv_binary64
257×unswap-sqr_binary64
188×*-commutative_binary64
Counts
201 → 200
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
03166192
19055625
227385166
346044783
449604783
549204783

prune441.0ms (5.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New3672369
Fresh033
Picked011
Done011
Total3677374
Error
0.0b
Counts
374 → 7
Alt Table
StatusErrorProgram
1.3b
(*.f64 (*.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (fma.f64 y (/.f64 y z) x))) (cbrt.f64 (fma.f64 y (/.f64 y z) x)))
1.7b
(*.f64 (*.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (fma.f64 y (/.f64 y z) x))) (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x))) (cbrt.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)))) (cbrt.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)))))
1.3b
(pow.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) 3)
31.3b
(*.f64 (sqrt.f64 (fma.f64 y (/.f64 y z) x)) (sqrt.f64 (fma.f64 y (/.f64 y z) x)))
26.8b
(expm1.f64 (log1p.f64 (fma.f64 y (/.f64 y z) x)))
0.1b
(fma.f64 y (/.f64 y z) x)
8.1b
(+.f64 x (/.f64 (*.f64 y y) z))
Compiler

Compiled 14463 to 5295 computations (63.4% saved)

localize16.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(fma.f64 y (/.f64 y z) x)
0.6b
(cbrt.f64 (fma.f64 y (/.f64 y z) x))
0.7b
(pow.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) 3)

series2.2s (25.9%)

Counts
1 → 36
Calls

1 calls:

2.2s
(pow.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) 3)

rewrite10.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
cube-prod_binary64
*-un-lft-identity_binary64
add-sqr-sqrt_binary64
cbrt-prod_binary64
unpow-prod-down_binary64
Counts
1 → 32
Calls

1 calls:

4.0ms
(pow.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) 3)

simplify159.0ms (1.9%)

Algorithm
egg-herbie
Rules
777×fma-def_binary64
495×associate-*l*_binary64
404×associate-*r*_binary64
280×exp-prod_binary64
214×log-prod_binary64
Counts
68 → 52
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0941448
12251269
26491149
33121865
44719865
54995865
64934865

prune145.0ms (1.7%)

Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1271128
Fresh044
Picked011
Done022
Total1278135
Error
0.0b
Counts
135 → 8
Alt Table
StatusErrorProgram
1.3b
(*.f64 (*.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (fma.f64 y (/.f64 y z) x))) (cbrt.f64 (fma.f64 y (/.f64 y z) x)))
1.7b
(*.f64 (*.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (fma.f64 y (/.f64 y z) x))) (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x))) (cbrt.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)))) (cbrt.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)))))
1.3b
(pow.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) 3)
31.3b
(*.f64 (sqrt.f64 (fma.f64 y (/.f64 y z) x)) (sqrt.f64 (fma.f64 y (/.f64 y z) x)))
26.8b
(expm1.f64 (log1p.f64 (fma.f64 y (/.f64 y z) x)))
0.1b
(fma.f64 y (/.f64 y z) x)
8.1b
(+.f64 x (/.f64 (*.f64 y y) z))
45.9b
(/.f64 (pow.f64 (/.f64 -1 y) -2) z)
Compiler

Compiled 3210 to 1781 computations (44.5% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.5b
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x))) (cbrt.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x))))
0.5b
(cbrt.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)))
0.6b
(cbrt.f64 (fma.f64 y (/.f64 y z) x))
0.6b
(*.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (fma.f64 y (/.f64 y z) x)))

series167.0ms (2%)

Counts
2 → 72
Calls

2 calls:

95.0ms
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x))) (cbrt.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x))))
71.0ms
(cbrt.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)))

rewrite33.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
63×cbrt-prod_binary64
34×add-sqr-sqrt_binary64
16×*-un-lft-identity_binary64
16×add-cube-cbrt_binary64
associate-*r*_binary64
Counts
2 → 72
Calls

2 calls:

11.0ms
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x))) (cbrt.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x))))
2.0ms
(cbrt.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)))

simplify323.0ms (3.8%)

Algorithm
egg-herbie
Rules
697×fma-def_binary64
291×cancel-sign-sub-inv_binary64
277×associate-*r*_binary64
228×unswap-sqr_binary64
184×*-commutative_binary64
Counts
144 → 168
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
03276415
19165971
227275536
346015158
449665158
549185158

prune886.0ms (10.6%)

Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New6741675
Fresh044
Picked011
Done123
Total6758683
Error
0.0b
Counts
683 → 8
Alt Table
StatusErrorProgram
1.3b
(pow.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) 3)
31.3b
(*.f64 (sqrt.f64 (fma.f64 y (/.f64 y z) x)) (sqrt.f64 (fma.f64 y (/.f64 y z) x)))
1.7b
(*.f64 (*.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (fma.f64 y (/.f64 y z) x))) (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x))) (cbrt.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)))) (cbrt.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)))))
26.8b
(expm1.f64 (log1p.f64 (fma.f64 y (/.f64 y z) x)))
1.7b
(*.f64 (*.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (fma.f64 y (/.f64 y z) x))) (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x))) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (fma.f64 y (/.f64 y z) x))))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)))))) (cbrt.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)))))
0.1b
(fma.f64 y (/.f64 y z) x)
8.1b
(+.f64 x (/.f64 (*.f64 y y) z))
45.9b
(/.f64 (pow.f64 (/.f64 -1 y) -2) z)
Compiler

Compiled 42988 to 13374 computations (68.9% saved)

regimes559.0ms (6.7%)

Accuracy

Total 0.1b remaining (71.9%)

Threshold costs 0.1b (71.9%)

Counts
51 → 1
Compiler

Compiled 8568 to 3302 computations (61.5% saved)

simplify3.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068
168

end167.0ms (2%)

Compiler

Compiled 197 to 77 computations (60.9% saved)

Profiling

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