Details

Time bar (total: 3.4s)

sample18.0ms

Algorithm
intervals
Results
8.0ms338×body80valid

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
093
1113
2132
3142
4142

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

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)

series29.0ms

Counts
1 → 3
Calls
1 calls:
29.0ms
(fma (/ y z) y x)

simplify45.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
02744
16839
222139
382039
4500239

prune39.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite12.0ms

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:
6.0ms
(* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x)))
1.0ms
(cbrt (fma (/ y z) y x))
1.0ms
(cbrt (fma (/ y z) y x))
2.0ms
(cbrt (fma (/ y z) y x))

series399.0ms

Counts
4 → 12
Calls
4 calls:
99.0ms
(* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x)))
99.0ms
(cbrt (fma (/ y z) y x))
100.0ms
(cbrt (fma (/ y z) y x))
101.0ms
(cbrt (fma (/ y z) y x))

simplify90.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (81.0ms)

IterNodesCost
0157649
1570598
22522552
35001529

prune256.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod
9×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 → 55
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))
2.0ms
(cbrt (cbrt (fma (/ y z) y x)))

series411.0ms

Counts
4 → 12
Calls
4 calls:
102.0ms
(cbrt (fma (/ y z) y x))
103.0ms
(cbrt (fma (/ y z) y x))
104.0ms
(cbrt (fma (/ y z) y x))
101.0ms
(cbrt (cbrt (fma (/ y z) y x)))

simplify101.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 3 (27.0ms)

IterNodesCost
0102412
1210382
2727374
33015358
45001358

prune283.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

localize26.0ms

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

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
28×cbrt-prod
10×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 → 59
Calls
4 calls:
2.0ms
(cbrt (cbrt (fma (/ y z) y x)))
2.0ms
(cbrt (cbrt (fma (/ y z) y x)))
2.0ms
(cbrt (cbrt (fma (/ y z) y x)))
5.0ms
(cbrt (* (cbrt (cbrt (fma (/ y z) y x))) (cbrt (cbrt (fma (/ y z) y x)))))

series420.0ms

Counts
4 → 12
Calls
4 calls:
103.0ms
(cbrt (cbrt (fma (/ y z) y x)))
106.0ms
(cbrt (cbrt (fma (/ y z) y x)))
104.0ms
(cbrt (cbrt (fma (/ y z) y x)))
107.0ms
(cbrt (* (cbrt (cbrt (fma (/ y z) y x))) (cbrt (cbrt (fma (/ y z) y x)))))

simplify119.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 3 (31.0ms)

IterNodesCost
0123578
1267530
2829522
33390503
45001503

prune338.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes236.0ms

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

sample482.0ms

Algorithm
intervals
Results
257.0ms10729×body80valid