Details

Time bar (total: 9.9s)

sample18.0ms

Algorithm
intervals
Results
9.0ms282×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: 6.2b

Counts
2 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

3.8b
(/ (/ 1.0 x) (fma z z 1.0))
4.5b
(/ (/ (/ 1.0 x) (fma z z 1.0)) y)

rewrite38.0ms

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:
6.0ms
(/ (/ 1.0 x) (fma z z 1.0))
15.0ms
(/ (/ (/ 1.0 x) (fma z z 1.0)) y)

series126.0ms

Counts
2 → 6
Calls
2 calls:
57.0ms
(/ (/ 1.0 x) (fma z z 1.0))
70.0ms
(/ (/ (/ 1.0 x) (fma z z 1.0)) y)

simplify112.0ms

Algorithm
egg-herbie
Counts
272 → 272
Iterations

Useful iterations: 1 (24.0ms)

IterNodesCost
011482808
146382733
250032733

prune996.0ms

Filtered
272 candidates to 237 candidates (87.1%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New26210272
Fresh101
Picked101
Done000
Total26410274

Merged error: 6.0b

Counts
274 → 10

localize18.0ms

Local error

Found 4 expressions with local error:

1.1b
(/ (/ (cbrt (/ 1.0 x)) (sqrt (fma z z 1.0))) (cbrt y))
2.1b
(/ (/ (* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x))) (sqrt (fma z z 1.0))) (* (cbrt y) (cbrt y)))
17.5b
(sqrt (fma z z 1.0))
17.5b
(sqrt (fma z z 1.0))

rewrite128.0ms

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:
33.0ms
(/ (/ (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)))
2.0ms
(sqrt (fma z z 1.0))
2.0ms
(sqrt (fma z z 1.0))

series746.0ms

Counts
4 → 12
Calls
4 calls:
270.0ms
(/ (/ (cbrt (/ 1.0 x)) (sqrt (fma z z 1.0))) (cbrt y))
365.0ms
(/ (/ (* (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))
59.0ms
(sqrt (fma z z 1.0))

simplify176.0ms

Algorithm
egg-herbie
Counts
811 → 811
Iterations

Useful iterations: 1 (46.0ms)

IterNodesCost
0261214080
1500113738

prune2.8s

Filtered
811 candidates to 543 candidates (67.0%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New8110811
Fresh099
Picked011
Done000
Total81110821

Merged error: 6.0b

Counts
821 → 10

localize15.0ms

Local error

Found 4 expressions with local error:

1.0b
(/ (sqrt 1.0) (* (* (cbrt y) (cbrt y)) (sqrt (fma z z 1.0))))
1.4b
(/ (/ (/ (sqrt 1.0) x) (sqrt (fma z z 1.0))) (cbrt y))
17.5b
(sqrt (fma z z 1.0))
17.5b
(sqrt (fma z z 1.0))

rewrite169.0ms

Algorithm
rewrite-expression-head
Rules
2502×times-frac
1147×add-sqr-sqrt
1145×add-cube-cbrt *-un-lft-identity
852×sqrt-prod
411×cbrt-prod
142×associate-/l*
51×div-inv
22×add-exp-log
17×add-cbrt-cube
9×cbrt-undiv div-exp
7×associate-/r*
6×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×prod-exp cbrt-unprod
2×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 clear-num
1×associate-/l/
Counts
4 → 1038
Calls
4 calls:
10.0ms
(/ (sqrt 1.0) (* (* (cbrt y) (cbrt y)) (sqrt (fma z z 1.0))))
43.0ms
(/ (/ (/ (sqrt 1.0) x) (sqrt (fma z z 1.0))) (cbrt y))
2.0ms
(sqrt (fma z z 1.0))
2.0ms
(sqrt (fma z z 1.0))

series634.0ms

Counts
4 → 12
Calls
4 calls:
281.0ms
(/ (sqrt 1.0) (* (* (cbrt y) (cbrt y)) (sqrt (fma z z 1.0))))
239.0ms
(/ (/ (/ (sqrt 1.0) x) (sqrt (fma z z 1.0))) (cbrt y))
52.0ms
(sqrt (fma z z 1.0))
62.0ms
(sqrt (fma z z 1.0))

simplify229.0ms

Algorithm
egg-herbie
Counts
1050 → 1050
Iterations

Useful iterations: 1 (57.0ms)

IterNodesCost
0295518429
1500118002

prune2.6s

Filtered
1050 candidates to 551 candidates (52.5%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New105001050
Fresh088
Picked011
Done011
Total1050101060

Merged error: 6.0b

Counts
1060 → 10

localize7.0ms

Local error

Found 3 expressions with local error:

0.7b
(/ 1.0 (* (fma z z 1.0) x))
3.6b
(* (fma z z 1.0) x)
4.5b
(/ (/ 1.0 (* (fma z z 1.0) x)) y)

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
25×add-sqr-sqrt
23×add-cube-cbrt *-un-lft-identity
19×add-exp-log add-cbrt-cube
10×associate-/l*
7×cbrt-undiv div-exp
6×div-inv
5×pow1
4×associate-/r*
3×expm1-log1p-u associate-*r* associate-*l* prod-exp cbrt-unprod log1p-expm1-u add-log-exp
2×frac-2neg clear-num
1×pow-prod-down *-commutative associate-/l/ unswap-sqr
Counts
3 → 93
Calls
3 calls:
4.0ms
(/ 1.0 (* (fma z z 1.0) x))
3.0ms
(* (fma z z 1.0) x)
6.0ms
(/ (/ 1.0 (* (fma z z 1.0) x)) y)

series165.0ms

Counts
3 → 9
Calls
3 calls:
51.0ms
(/ 1.0 (* (fma z z 1.0) x))
48.0ms
(* (fma z z 1.0) x)
66.0ms
(/ (/ 1.0 (* (fma z z 1.0) x)) y)

simplify59.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0414626
11769553
25001552

prune202.0ms

Filtered
102 candidates to 77 candidates (75.5%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New1020102
Fresh077
Picked011
Done022
Total10210112

Merged error: 6.0b

Counts
112 → 10

regimes153.0ms

Accuracy

0% (1.0b remaining)

Error of 5.9b against oracle of 4.9b and baseline of 5.9b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01720
11720

end0.0ms

sample485.0ms

Algorithm
intervals
Results
306.0ms8612×body80valid

Profiling

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