Details

Time bar (total: 19.8s)

sample21.0ms

Algorithm
intervals
Results
11.0ms271×body80valid

simplify14.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0215
1404
2694
31044
41464
51604
61604

prune5.0ms

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: 3.3b

Counts
2 → 2

localize6.0ms

Local error

Found 2 expressions with local error:

2.3b
(/ (/ (/ 1.0 x) (fma z z 1.0)) y)
3.0b
(/ (/ 1.0 x) (fma z z 1.0))

rewrite36.0ms

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:
12.0ms
(/ (/ (/ 1.0 x) (fma z z 1.0)) y)
6.0ms
(/ (/ 1.0 x) (fma z z 1.0))

series124.0ms

Counts
2 → 6
Calls
2 calls:
64.0ms
(/ (/ (/ 1.0 x) (fma z z 1.0)) y)
59.0ms
(/ (/ 1.0 x) (fma z z 1.0))

simplify112.0ms

Algorithm
egg-herbie
Counts
272 → 272
Iterations

Useful iterations: 1 (24.0ms)

IterNodesCost
011482808
146382733
250022733

prune687.0ms

Filtered
272 candidates to 237 candidates (87.1%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New2639272
Fresh101
Picked101
Done000
Total2659274

Merged error: 3.2b

Counts
274 → 9

localize9.0ms

Local error

Found 4 expressions with local error:

0.7b
(/ (/ 1.0 (sqrt (fma z z 1.0))) (* y (* (sqrt (fma z z 1.0)) x)))
2.0b
(* y (* (sqrt (fma z z 1.0)) x))
14.2b
(sqrt (fma z z 1.0))
14.2b
(sqrt (fma z z 1.0))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
58×times-frac
35×add-sqr-sqrt
33×add-cube-cbrt *-un-lft-identity
30×add-exp-log add-cbrt-cube
24×sqrt-prod
22×associate-/l*
11×pow1
9×cbrt-undiv div-exp prod-exp cbrt-unprod
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-*l* pow-prod-down div-inv
2×rem-sqrt-square sqrt-pow1 pow1/2
1×frac-2neg associate-*r* clear-num associate-/r* *-commutative associate-/l/
Counts
4 → 120
Calls
4 calls:
11.0ms
(/ (/ 1.0 (sqrt (fma z z 1.0))) (* y (* (sqrt (fma z z 1.0)) x)))
5.0ms
(* y (* (sqrt (fma z z 1.0)) x))
1.0ms
(sqrt (fma z z 1.0))
2.0ms
(sqrt (fma z z 1.0))

series226.0ms

Counts
4 → 12
Calls
4 calls:
63.0ms
(/ (/ 1.0 (sqrt (fma z z 1.0))) (* y (* (sqrt (fma z z 1.0)) x)))
60.0ms
(* y (* (sqrt (fma z z 1.0)) x))
51.0ms
(sqrt (fma z z 1.0))
52.0ms
(sqrt (fma z z 1.0))

simplify68.0ms

Algorithm
egg-herbie
Counts
132 → 132
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
05671118
12247960
25001891

prune344.0ms

Filtered
132 candidates to 94 candidates (71.2%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1311132
Fresh268
Picked011
Done000
Total1338141

Merged error: 3.2b

Counts
141 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

0.7b
(/ (/ (* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x))) (sqrt (fma z z 1.0))) (/ y (/ (cbrt (/ 1.0 x)) (sqrt (fma z z 1.0)))))
1.0b
(/ y (/ (cbrt (/ 1.0 x)) (sqrt (fma z z 1.0))))
14.2b
(sqrt (fma z z 1.0))
14.2b
(sqrt (fma z z 1.0))

rewrite698.0ms

Algorithm
rewrite-expression-head
Rules
14036×times-frac
5135×add-sqr-sqrt
5133×add-cube-cbrt *-un-lft-identity
2886×cbrt-prod
2700×sqrt-prod
578×div-inv
405×associate-/r*
45×add-exp-log
35×add-cbrt-cube
27×cbrt-undiv div-exp
13×associate-/r/ associate-/l*
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 → 3847
Calls
4 calls:
114.0ms
(/ (/ (* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x))) (sqrt (fma z z 1.0))) (/ y (/ (cbrt (/ 1.0 x)) (sqrt (fma z z 1.0)))))
21.0ms
(/ y (/ (cbrt (/ 1.0 x)) (sqrt (fma z z 1.0))))
1.0ms
(sqrt (fma z z 1.0))
2.0ms
(sqrt (fma z z 1.0))

series502.0ms

Counts
4 → 12
Calls
4 calls:
143.0ms
(/ (/ (* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x))) (sqrt (fma z z 1.0))) (/ y (/ (cbrt (/ 1.0 x)) (sqrt (fma z z 1.0)))))
258.0ms
(/ y (/ (cbrt (/ 1.0 x)) (sqrt (fma z z 1.0))))
52.0ms
(sqrt (fma z z 1.0))
48.0ms
(sqrt (fma z z 1.0))

simplify1.2s

Algorithm
egg-herbie
Counts
3859 → 3859
Iterations

Useful iterations: 0 (60.0ms)

IterNodesCost
05001116893

prune12.7s

Filtered
3859 candidates to 2772 candidates (71.8%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New385903859
Fresh066
Picked011
Done011
Total385983867

Merged error: 3.2b

Counts
3867 → 8

localize8.0ms

Local error

Found 3 expressions with local error:

0.7b
(/ 1 (/ y (/ (/ 1.0 x) (fma z z 1.0))))
2.1b
(/ y (/ (/ 1.0 x) (fma z z 1.0)))
3.0b
(/ (/ 1.0 x) (fma z z 1.0))

rewrite137.0ms

Algorithm
rewrite-expression-head
Rules
2178×times-frac
960×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
180×associate-/r*
75×div-inv
51×add-exp-log
35×div-exp
31×add-cbrt-cube
19×cbrt-undiv associate-/l*
6×associate-/r/
4×pow1 rec-exp 1-exp
3×expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
1×pow-flip associate-/l/ inv-pow
Counts
3 → 836
Calls
3 calls:
29.0ms
(/ 1 (/ y (/ (/ 1.0 x) (fma z z 1.0))))
12.0ms
(/ y (/ (/ 1.0 x) (fma z z 1.0)))
6.0ms
(/ (/ 1.0 x) (fma z z 1.0))

series204.0ms

Counts
3 → 9
Calls
3 calls:
62.0ms
(/ 1 (/ y (/ (/ 1.0 x) (fma z z 1.0))))
84.0ms
(/ y (/ (/ 1.0 x) (fma z z 1.0)))
57.0ms
(/ (/ 1.0 x) (fma z z 1.0))

simplify181.0ms

Algorithm
egg-herbie
Counts
845 → 845
Iterations

Useful iterations: 1 (63.0ms)

IterNodesCost
0304011220
1500210749

prune1.8s

Filtered
845 candidates to 611 candidates (72.3%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New8441845
Fresh055
Picked011
Done022
Total8449853

Merged error: 3.2b

Counts
853 → 9

regimes165.0ms

Accuracy

0% (1.2b remaining)

Error of 6.2b against oracle of 5.0b and baseline of 6.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0128
1128

end0.0ms

sample501.0ms

Algorithm
intervals
Results
310.0ms8635×body80valid