Details

Time bar (total: 2.5s)

sample17.0ms

Algorithm
intervals
Results
7.0ms354×body80valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
0113
1152
2162
3162

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (* y z) z))
0.2b
(* (* y z) z)

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
4×add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-log-exp
3×fma-def associate-*r* pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u log1p-expm1-u
1×+-commutative flip3-+ associate-*l* sum-log *-commutative flip-+
Counts
2 → 36
Calls
2 calls:
2.0ms
(+ x (* (* y z) z))
9.0ms
(* (* y z) z)

series90.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(+ x (* (* y z) z))
39.0ms
(* (* y z) z)

simplify105.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 3 (101.0ms)

IterNodesCost
0167152
1756130
23750130
35002129

prune83.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (* (* y z) z)) (cbrt (* (* y z) z)))
22.1b
(cbrt (* (* y z) z))
22.1b
(cbrt (* (* y z) z))
22.1b
(cbrt (* (* y z) z))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×expm1-log1p-u swap-sqr associate-*r* associate-*l* add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 66
Calls
4 calls:
8.0ms
(* (cbrt (* (* y z) z)) (cbrt (* (* y z) z)))
5.0ms
(cbrt (* (* y z) z))
5.0ms
(cbrt (* (* y z) z))
5.0ms
(cbrt (* (* y z) z))

series393.0ms

Counts
4 → 12
Calls
4 calls:
114.0ms
(* (cbrt (* (* y z) z)) (cbrt (* (* y z) z)))
89.0ms
(cbrt (* (* y z) z))
94.0ms
(cbrt (* (* y z) z))
95.0ms
(cbrt (* (* y z) z))

simplify114.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 3 (106.0ms)

IterNodesCost
0211461
1684410
23048353
35001345

prune201.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
10.1b
(cbrt (* y z))
22.1b
(cbrt (* (* y z) z))
22.1b
(cbrt (* (* y z) z))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
6×cbrt-prod
5×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 → 46
Calls
4 calls:
0.0ms
(cbrt z)
1.0ms
(cbrt (* y z))
5.0ms
(cbrt (* (* y z) z))
5.0ms
(cbrt (* (* y z) z))

series430.0ms

Counts
4 → 12
Calls
4 calls:
176.0ms
(cbrt z)
69.0ms
(cbrt (* y z))
93.0ms
(cbrt (* (* y z) z))
91.0ms
(cbrt (* (* y z) z))

simplify96.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 3 (26.0ms)

IterNodesCost
0168244
1355222
21046196
33611192
45001192

prune200.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

4.7b
(fma (pow z 2) 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 (pow z 2) y x)

series35.0ms

Counts
1 → 3
Calls
1 calls:
35.0ms
(fma (pow z 2) y x)

simplify40.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
02442
16837
222437
389837
4500237

prune32.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.0b

regimes114.0ms

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
093
193

end0.0ms

sample436.0ms

Algorithm
intervals
Results
214.0ms10612×body80valid