Details

Time bar (total: 12.0s)

sample16.0ms

Algorithm
intervals
Results
7.0ms280×body80valid

simplify14.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0215
1404
2694
31044
41464
51604
61604

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: 3.9b

Counts
2 → 2

localize9.0ms

Local error

Found 2 expressions with local error:

2.0b
(/ (/ (/ 1.0 x) (fma z z 1.0)) y)
4.9b
(/ (/ 1.0 x) (fma z z 1.0))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
468×times-frac
228×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
56×associate-/l*
22×div-inv
16×add-exp-log add-cbrt-cube
9×cbrt-undiv div-exp
6×associate-/r*
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u associate-/l/ add-log-exp
Counts
2 → 266
Calls
2 calls:
13.0ms
(/ (/ (/ 1.0 x) (fma z z 1.0)) y)
6.0ms
(/ (/ 1.0 x) (fma z z 1.0))

series126.0ms

Counts
2 → 6
Calls
2 calls:
65.0ms
(/ (/ (/ 1.0 x) (fma z z 1.0)) y)
61.0ms
(/ (/ 1.0 x) (fma z z 1.0))

simplify109.0ms

Algorithm
egg-herbie
Counts
272 → 272
Iterations

Useful iterations: 1 (24.0ms)

IterNodesCost
011482808
146382733
250022733

prune730.0ms

Filtered
272 candidates to 237 candidates (87.1%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New2648272
Fresh101
Picked101
Done000
Total2668274

Merged error: 3.7b

Counts
274 → 8

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.8b
(/ (/ (/ (cbrt 1.0) (cbrt x)) (sqrt (fma z z 1.0))) y)
15.2b
(sqrt (fma z z 1.0))
15.2b
(sqrt (fma z z 1.0))

rewrite177.0ms

Algorithm
rewrite-expression-head
Rules
2556×times-frac
1178×add-sqr-sqrt
1176×add-cube-cbrt *-un-lft-identity
867×cbrt-prod
486×sqrt-prod
244×associate-/l*
29×div-inv
13×add-exp-log
11×add-cbrt-cube
6×pow1 cbrt-undiv div-exp
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-/r*
2×rem-sqrt-square sqrt-pow1 pow1/2
1×frac-2neg pow1/3 clear-num associate-/l/
Counts
4 → 1041
Calls
4 calls:
1.0ms
(cbrt x)
54.0ms
(/ (/ (/ (cbrt 1.0) (cbrt x)) (sqrt (fma z z 1.0))) y)
1.0ms
(sqrt (fma z z 1.0))
2.0ms
(sqrt (fma z z 1.0))

series576.0ms

Counts
4 → 12
Calls
4 calls:
180.0ms
(cbrt x)
278.0ms
(/ (/ (/ (cbrt 1.0) (cbrt x)) (sqrt (fma z z 1.0))) y)
64.0ms
(sqrt (fma z z 1.0))
55.0ms
(sqrt (fma z z 1.0))

simplify213.0ms

Algorithm
egg-herbie
Counts
1053 → 1053
Iterations

Useful iterations: 1 (62.0ms)

IterNodesCost
0333417579
1500117310

prune3.5s

Filtered
1053 candidates to 730 candidates (69.3%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New105211053
Fresh167
Picked011
Done000
Total105381061

Merged error: 3.7b

Counts
1061 → 8

localize17.0ms

Local error

Found 4 expressions with local error:

0.7b
(/ (/ (cbrt (/ 1.0 x)) (sqrt (fma z z 1.0))) (cbrt y))
2.0b
(/ (/ (* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x))) (sqrt (fma z z 1.0))) (* (cbrt y) (cbrt y)))
15.2b
(sqrt (fma z z 1.0))
15.2b
(sqrt (fma z z 1.0))

rewrite135.0ms

Algorithm
rewrite-expression-head
Rules
1672×times-frac
849×cbrt-prod
783×add-sqr-sqrt
781×add-cube-cbrt *-un-lft-identity
348×sqrt-prod
110×associate-/l*
53×div-inv
30×add-exp-log
17×add-cbrt-cube
13×cbrt-undiv div-exp
7×associate-/r*
6×pow1
5×prod-exp cbrt-unprod
4×expm1-log1p-u log1p-expm1-u add-log-exp
2×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 clear-num associate-/l/
Counts
4 → 799
Calls
4 calls:
34.0ms
(/ (/ (cbrt (/ 1.0 x)) (sqrt (fma z z 1.0))) (cbrt y))
14.0ms
(/ (/ (* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x))) (sqrt (fma z z 1.0))) (* (cbrt y) (cbrt y)))
1.0ms
(sqrt (fma z z 1.0))
2.0ms
(sqrt (fma z z 1.0))

series737.0ms

Counts
4 → 12
Calls
4 calls:
256.0ms
(/ (/ (cbrt (/ 1.0 x)) (sqrt (fma z z 1.0))) (cbrt y))
366.0ms
(/ (/ (* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x))) (sqrt (fma z z 1.0))) (* (cbrt y) (cbrt y)))
52.0ms
(sqrt (fma z z 1.0))
63.0ms
(sqrt (fma z z 1.0))

simplify182.0ms

Algorithm
egg-herbie
Counts
811 → 811
Iterations

Useful iterations: 1 (47.0ms)

IterNodesCost
0261214080
1500113886

prune3.3s

Filtered
811 candidates to 635 candidates (78.3%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New8110811
Fresh066
Picked011
Done011
Total8118819

Merged error: 3.7b

Counts
819 → 8

localize29.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (/ (cbrt 1.0) (cbrt x)))
15.2b
(sqrt (fma z z 1.0))
15.7b
(cbrt (fma z z 1.0))
15.7b
(cbrt (fma z z 1.0))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
82×cbrt-prod
36×times-frac
33×add-sqr-sqrt
32×add-cube-cbrt *-un-lft-identity
5×pow1
4×add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×pow1/3 sqrt-prod
1×rem-sqrt-square cbrt-div sqrt-pow1 pow1/2 div-inv
Counts
4 → 92
Calls
4 calls:
5.0ms
(cbrt (/ (cbrt 1.0) (cbrt x)))
1.0ms
(sqrt (fma z z 1.0))
1.0ms
(cbrt (fma z z 1.0))
1.0ms
(cbrt (fma z z 1.0))

series861.0ms

Counts
4 → 12
Calls
4 calls:
410.0ms
(cbrt (/ (cbrt 1.0) (cbrt x)))
54.0ms
(sqrt (fma z z 1.0))
173.0ms
(cbrt (fma z z 1.0))
224.0ms
(cbrt (fma z z 1.0))

simplify48.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0372807
11135780
25001769

prune579.0ms

Filtered
104 candidates to 95 candidates (91.3%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1040104
Fresh055
Picked011
Done022
Total1048112

Merged error: 3.7b

Counts
112 → 8

regimes154.0ms

Accuracy

0% (0.8b remaining)

Error of 5.9b against oracle of 5.0b and baseline of 5.9b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01718
11718

end0.0ms

sample412.0ms

Algorithm
intervals
Results
236.0ms8617×body80valid