Details

Time bar (total: 3.1s)

sample23.0ms

Algorithm
intervals
Results
13.0ms322×body80valid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
093
1113
2132
3142
4142

prune5.0ms

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:
0.0ms
(fma (/ y z) y x)

series28.0ms

Counts
1 → 3
Calls
1 calls:
28.0ms
(fma (/ y z) y x)

simplify40.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
02744
16839
222139
382039
4500239

prune34.0ms

Pruning

4 alts after pruning (3 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)) (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))

rewrite10.0ms

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))
1.0ms
(cbrt (fma (/ y z) y x))

series374.0ms

Counts
4 → 12
Calls
4 calls:
93.0ms
(* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x)))
93.0ms
(cbrt (fma (/ y z) y x))
93.0ms
(cbrt (fma (/ y z) y x))
95.0ms
(cbrt (fma (/ y z) y x))

simplify80.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (73.0ms)

IterNodesCost
0157649
1570598
22522552
35001529

prune229.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
30×cbrt-prod
11×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 → 61
Calls
4 calls:
0.0ms
(cbrt (fma (/ y z) y x))
1.0ms
(cbrt (cbrt (fma (/ y z) y x)))
1.0ms
(cbrt (cbrt (fma (/ y z) y x)))
1.0ms
(cbrt (cbrt (fma (/ y z) y x)))

series377.0ms

Counts
4 → 12
Calls
4 calls:
93.0ms
(cbrt (fma (/ y z) y x))
95.0ms
(cbrt (cbrt (fma (/ y z) y x)))
95.0ms
(cbrt (cbrt (fma (/ y z) y x)))
95.0ms
(cbrt (cbrt (fma (/ y z) y x)))

simplify93.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 3 (22.0ms)

IterNodesCost
0102508
1210474
2727466
33015450
45001450

prune263.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

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

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
20×cbrt-prod
8×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 → 54
Calls
4 calls:
1.0ms
(cbrt (cbrt (fma (/ y z) y x)))
1.0ms
(cbrt (cbrt (fma (/ y z) y x)))
3.0ms
(cbrt (* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x))))
3.0ms
(cbrt (* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x))))

series379.0ms

Counts
4 → 12
Calls
4 calls:
92.0ms
(cbrt (cbrt (fma (/ y z) y x)))
95.0ms
(cbrt (cbrt (fma (/ y z) y x)))
95.0ms
(cbrt (* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x))))
97.0ms
(cbrt (* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x))))

simplify134.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 3 (30.0ms)

IterNodesCost
0120548
1285496
2931488
34102462
45001462

prune266.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes154.0ms

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

sample576.0ms

Algorithm
intervals
Results
359.0ms10700×body80valid