Details

Time bar (total: 2.2s)

sample18.0ms

Algorithm
intervals
Results
7.0ms357×body80valid

simplify15.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (8.0ms)

IterNodesCost
093
1113
2132
3142
4142

prune7.0ms

Filtered
1 candidates to 1 candidates (100.0%)
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
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)

series32.0ms

Counts
1 → 3
Calls
1 calls:
32.0ms
(fma (/ y z) y x)

simplify50.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
02744
16839
222139
382039
4500239

prune38.0ms

Filtered
13 candidates to 10 candidates (76.9%)
Pruning

4 alts after pruning (3 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))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
pow1/3
add-exp-log swap-sqr associate-*r* associate-*l*
expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
pow-prod-down pow-sqr pow-prod-up
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))

series461.0ms

Counts
4 → 12
Calls
4 calls:
116.0ms
(* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x)))
116.0ms
(cbrt (fma (/ y z) y x))
116.0ms
(cbrt (fma (/ y z) y x))
112.0ms
(cbrt (fma (/ y z) y x))

simplify89.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (81.0ms)

IterNodesCost
0157649
1570598
22522552
35001529

prune275.0ms

Filtered
93 candidates to 72 candidates (77.4%)
Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (/ (* y y) z))
9.3b
(/ (* y y) z)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
add-exp-log *-un-lft-identity add-cbrt-cube
add-sqr-sqrt add-cube-cbrt
add-log-exp
fma-def times-frac associate-/r*
pow1 cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u
+-commutative frac-2neg flip3-+ prod-exp clear-num sum-log cbrt-unprod flip-+ div-inv distribute-lft-out associate-/l*
Counts
2 → 40
Calls
2 calls:
5.0ms
(+ x (/ (* y y) z))
4.0ms
(/ (* y y) z)

series66.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(+ x (/ (* y y) z))
23.0ms
(/ (* y y) z)

simplify100.0ms

Algorithm
egg-herbie
Counts
46 → 46
Iterations

Useful iterations: 3 (96.0ms)

IterNodesCost
0176173
1675155
22852150
35002149

prune106.0ms

Filtered
46 candidates to 35 candidates (76.1%)
Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (* y y) (/ 1 z)))
9.4b
(* (* y y) (/ 1 z))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
24×add-exp-log
14×add-sqr-sqrt add-cbrt-cube
13×associate-*r*
12×prod-exp
11×*-un-lft-identity times-frac
10×add-cube-cbrt
pow1
cbrt-unprod
div-exp add-log-exp
fma-def pow-prod-down unswap-sqr
cbrt-undiv expm1-log1p-u rec-exp 1-exp log1p-expm1-u
+-commutative flip3-+ associate-*r/ associate-*l* sum-log un-div-inv *-commutative flip-+ div-inv
Counts
2 → 59
Calls
2 calls:
2.0ms
(+ x (* (* y y) (/ 1 z)))
14.0ms
(* (* y y) (/ 1 z))

series59.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(+ x (* (* y y) (/ 1 z)))
22.0ms
(* (* y y) (/ 1 z))

simplify49.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0317307
11496254
25001240

prune138.0ms

Filtered
65 candidates to 41 candidates (63.1%)
Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes150.0ms

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

sample447.0ms

Algorithm
intervals
Results
225.0ms10701×body80valid