Details

Time bar (total: 2.6s)

sample23.0ms

Algorithm
intervals
Results
14.0ms302×body80valid

simplify51.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 7 (13.0ms)

IterNodesCost
0163
1243
2383
3453
4533
5573
6673
73092
821252
950012

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize4.0ms

Local error

Found 1 expressions with local error:

2.5b
(fma (/ y z) x 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) x x)

series30.0ms

Counts
1 → 3
Calls
1 calls:
30.0ms
(fma (/ y z) x x)

simplify140.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
02644
16239
220539
384939
4478539
5500139

prune31.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (fma (/ y z) x x))
2.5b
(fma (/ y z) x x)
2.5b
(fma (/ y z) x x)
2.5b
(fma (/ y z) x x)

rewrite2.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×cbrt-prod fma-udef
1×pow1/3
Counts
4 → 43
Calls
4 calls:
1.0ms
(cbrt (fma (/ y z) x x))
0.0ms
(fma (/ y z) x x)
0.0ms
(fma (/ y z) x x)
0.0ms
(fma (/ y z) x x)

series212.0ms

Counts
4 → 12
Calls
4 calls:
128.0ms
(cbrt (fma (/ y z) x x))
27.0ms
(fma (/ y z) x x)
26.0ms
(fma (/ y z) x x)
30.0ms
(fma (/ y z) x x)

simplify120.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 3 (30.0ms)

IterNodesCost
0102227
1252205
2978202
34867197
45001197

prune335.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

2.5b
(fma (/ y z) x x)
2.5b
(fma (/ y z) x x)
2.5b
(fma (/ y z) x x)
2.5b
(fma (/ y z) x x)

rewrite2.0ms

Algorithm
rewrite-expression-head
Rules
4×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
4 → 40
Calls
4 calls:
0.0ms
(fma (/ y z) x x)
0.0ms
(fma (/ y z) x x)
0.0ms
(fma (/ y z) x x)
0.0ms
(fma (/ y z) x x)

series108.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(fma (/ y z) x x)
27.0ms
(fma (/ y z) x x)
29.0ms
(fma (/ y z) x x)
26.0ms
(fma (/ y z) x x)

simplify143.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
026176
162156
2205156
3849156
44785156
55001156

prune164.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

2.5b
(fma (/ y z) x x)
2.5b
(fma (/ y z) x x)
2.5b
(fma (/ y z) x x)
2.5b
(fma (/ y z) x x)

rewrite2.0ms

Algorithm
rewrite-expression-head
Rules
4×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
4 → 40
Calls
4 calls:
0.0ms
(fma (/ y z) x x)
0.0ms
(fma (/ y z) x x)
0.0ms
(fma (/ y z) x x)
0.0ms
(fma (/ y z) x x)

series109.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(fma (/ y z) x x)
26.0ms
(fma (/ y z) x x)
29.0ms
(fma (/ y z) x x)
27.0ms
(fma (/ y z) x x)

simplify143.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
026176
162156
2205156
3849156
44785156
55001156

prune152.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.0b

regimes140.0ms

Accuracy

93.2% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 3.2b

bsearch1.0ms

simplify4.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 2 (1.0ms)

IterNodesCost
02524
12824
23417
33717
44317
55417
66117
76217
86217

end0.0ms

sample665.0ms

Algorithm
intervals
Results
460.0ms9581×body80valid