Details

Time bar (total: 2.2s)

sample17.0ms

Algorithm
intervals
Results
8.0ms322×body80valid

simplify54.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 7 (14.0ms)

IterNodesCost
0163
1243
2383
3453
4533
5573
6673
73092
821252
950012

prune6.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 2

localize5.0ms

Local error

Found 1 expressions with local error:

3.7b
(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:
1.0ms
(fma (/ y z) x x)

series27.0ms

Counts
1 → 3
Calls
1 calls:
27.0ms
(fma (/ y z) x x)

simplify137.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
02644
16239
220539
384939
4478539
5500139

prune28.0ms

Filtered
13 candidates to 10 candidates (76.9%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New11213
Fresh011
Picked011
Done000
Total11415

Merged error: 0.0b

Counts
15 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (fma (/ y z) x x)) (cbrt (fma (/ y z) x x)))
3.7b
(fma (/ y z) x x)
3.7b
(fma (/ y z) x x)
3.7b
(fma (/ y z) x x)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
16×cbrt-prod
12×add-cube-cbrt *-un-lft-identity
11×pow1
6×add-exp-log pow1/3 swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
3×fma-udef
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 72
Calls
4 calls:
5.0ms
(* (cbrt (fma (/ y z) x x)) (cbrt (fma (/ y z) x x)))
1.0ms
(fma (/ y z) x x)
1.0ms
(fma (/ y z) x x)
1.0ms
(fma (/ y z) x x)

series236.0ms

Counts
4 → 12
Calls
4 calls:
155.0ms
(* (cbrt (fma (/ y z) x x)) (cbrt (fma (/ y z) x x)))
25.0ms
(fma (/ y z) x x)
30.0ms
(fma (/ y z) x x)
26.0ms
(fma (/ y z) x x)

simplify77.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 3 (70.0ms)

IterNodesCost
0168514
1619469
22823426
35002416

prune180.0ms

Filtered
84 candidates to 60 candidates (71.4%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New81384
Fresh022
Picked101
Done011
Total82688

Merged error: 0.0b

Counts
88 → 6

localize17.0ms

Local error

Found 4 expressions with local error:

3.7b
(fma (/ y z) x x)
3.7b
(fma (/ y z) x x)
3.7b
(fma (/ y z) x x)
3.7b
(fma (/ y z) x x)

rewrite4.0ms

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

series110.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(fma (/ y z) x x)
31.0ms
(fma (/ y z) x x)
26.0ms
(fma (/ y z) x x)
27.0ms
(fma (/ y z) x x)

simplify139.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
026176
162156
2205156
3849156
44785156
55001156

prune151.0ms

Filtered
52 candidates to 40 candidates (76.9%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New52052
Fresh044
Picked011
Done011
Total52658

Merged error: 0.0b

Counts
58 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

3.7b
(fma (/ y z) x x)
3.7b
(fma (/ y z) x x)
3.7b
(fma (/ y z) x x)
3.7b
(fma (/ y z) x x)

rewrite4.0ms

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

series111.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(fma (/ y z) x x)
25.0ms
(fma (/ y z) x x)
26.0ms
(fma (/ y z) x x)
30.0ms
(fma (/ y z) x x)

simplify139.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
026176
162156
2205156
3849156
44785156
55001156

prune142.0ms

Filtered
52 candidates to 40 candidates (76.9%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New52052
Fresh033
Picked011
Done022
Total52658

Merged error: 0.0b

Counts
58 → 6

regimes152.0ms

Accuracy

83.6% (0.5b remaining)

Error of 0.6b 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

sample438.0ms

Algorithm
intervals
Results
241.0ms9602×body80valid

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