Details

Time bar (total: 3.3s)

sample17.0ms

Algorithm
intervals
Results
7.0ms337×body80valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
093
1113
2132
3142
4142

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.1b
(fma (/ y z) y x)

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
1.0ms
(fma (/ y z) y x)

series27.0ms

Counts
1 → 3
Calls
1 calls:
27.0ms
(fma (/ y z) y x)

simplify48.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
02744
16839
222139
382039
4500239

prune41.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (fma (/ y z) y x))
0.5b
(cbrt (fma (/ y z) y x))
0.5b
(cbrt (fma (/ y z) y x))
0.5b
(* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x)))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
1.0ms
(cbrt (fma (/ y z) y x))
1.0ms
(cbrt (fma (/ y z) y x))
1.0ms
(cbrt (fma (/ y z) y x))
6.0ms
(* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x)))

series397.0ms

Counts
4 → 12
Calls
4 calls:
99.0ms
(cbrt (fma (/ y z) y x))
105.0ms
(cbrt (fma (/ y z) y x))
97.0ms
(cbrt (fma (/ y z) y x))
96.0ms
(* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x)))

simplify94.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (85.0ms)

IterNodesCost
0157649
1578598
22529552
35002529

prune253.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
30×cbrt-prod
24×add-sqr-sqrt
17×add-cube-cbrt
16×pow1 *-un-lft-identity
12×associate-*l*
11×add-exp-log pow1/3
7×swap-sqr associate-*r* pow-prod-down
5×add-cbrt-cube
4×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
2×pow-sqr *-commutative pow-prod-up
1×pow2 pow-plus
Counts
4 → 94
Calls
4 calls:
10.0ms
(* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x)))
8.0ms
(* (cbrt (fma (/ y z) y x)) (* (cbrt (* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x)))) (cbrt (cbrt (fma (/ y z) y x)))))
2.0ms
(cbrt (cbrt (fma (/ y z) y x)))
4.0ms
(cbrt (* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x))))

series397.0ms

Counts
4 → 12
Calls
4 calls:
91.0ms
(* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x)))
99.0ms
(* (cbrt (fma (/ y z) y x)) (* (cbrt (* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x)))) (cbrt (cbrt (fma (/ y z) y x)))))
106.0ms
(cbrt (cbrt (fma (/ y z) y x)))
100.0ms
(cbrt (* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x))))

simplify163.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
02491171
19181076
24612948
35001948

prune350.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (cbrt (fma (/ y z) y x)))
0.6b
(cbrt (* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x))))
0.6b
(cbrt (* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x))))
0.6b
(cbrt (cbrt (* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x)))))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
16×cbrt-prod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 52
Calls
4 calls:
2.0ms
(cbrt (cbrt (fma (/ y z) y x)))
4.0ms
(cbrt (* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x))))
4.0ms
(cbrt (* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x))))
2.0ms
(cbrt (cbrt (* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x)))))

series404.0ms

Counts
4 → 12
Calls
4 calls:
98.0ms
(cbrt (cbrt (fma (/ y z) y x)))
96.0ms
(cbrt (* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x))))
105.0ms
(cbrt (* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x))))
105.0ms
(cbrt (cbrt (* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x)))))

simplify46.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 3 (38.0ms)

IterNodesCost
0146618
1352556
21156548
35001519

prune294.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes187.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052

end0.0ms

sample437.0ms

Algorithm
intervals
Results
230.0ms10713×body80valid