Details

Time bar (total: 7.0s)

sample18.0ms

Algorithm
intervals
Results
9.0ms265×body80valid

simplify14.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0215
1404
2694
31044
41464
51604
61604

prune7.0ms

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: 6.4b

Counts
2 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

4.1b
(/ (/ (/ 1.0 x) (fma z z 1.0)) y)
4.5b
(/ (/ 1.0 x) (fma z z 1.0))

rewrite39.0ms

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)
9.0ms
(/ (/ 1.0 x) (fma z z 1.0))

series125.0ms

Counts
2 → 6
Calls
2 calls:
63.0ms
(/ (/ (/ 1.0 x) (fma z z 1.0)) y)
62.0ms
(/ (/ 1.0 x) (fma z z 1.0))

simplify118.0ms

Algorithm
egg-herbie
Counts
272 → 272
Iterations

Useful iterations: 1 (26.0ms)

IterNodesCost
011482808
146382733
250022733

prune669.0ms

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

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(/ (/ 1.0 (sqrt (fma z z 1.0))) (* y (* (sqrt (fma z z 1.0)) x)))
3.8b
(* y (* (sqrt (fma z z 1.0)) x))
18.0b
(sqrt (fma z z 1.0))
18.0b
(sqrt (fma z z 1.0))

rewrite23.0ms

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))

series231.0ms

Counts
4 → 12
Calls
4 calls:
65.0ms
(/ (/ 1.0 (sqrt (fma z z 1.0))) (* y (* (sqrt (fma z z 1.0)) x)))
65.0ms
(* y (* (sqrt (fma z z 1.0)) x))
48.0ms
(sqrt (fma z z 1.0))
53.0ms
(sqrt (fma z z 1.0))

simplify58.0ms

Algorithm
egg-herbie
Counts
132 → 132
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
05671118
12247960
25001891

prune267.0ms

Filtered
132 candidates to 94 candidates (71.2%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1311132
Fresh369
Picked011
Done000
Total1348142

Merged error: 6.0b

Counts
142 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (/ 1.0 (sqrt (fma z z 1.0))) y)
1.3b
(/ (/ (/ 1.0 (sqrt (fma z z 1.0))) y) (* (sqrt (fma z z 1.0)) x))
18.0b
(sqrt (fma z z 1.0))
18.0b
(sqrt (fma z z 1.0))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
448×times-frac
207×add-sqr-sqrt
205×add-cube-cbrt *-un-lft-identity
96×sqrt-prod
92×associate-/l*
30×add-exp-log add-cbrt-cube
15×cbrt-undiv div-exp
14×div-inv
6×pow1
4×expm1-log1p-u associate-/r* log1p-expm1-u add-log-exp
3×prod-exp cbrt-unprod
2×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 clear-num associate-/l/
Counts
4 → 304
Calls
4 calls:
8.0ms
(/ (/ 1.0 (sqrt (fma z z 1.0))) y)
19.0ms
(/ (/ (/ 1.0 (sqrt (fma z z 1.0))) y) (* (sqrt (fma z z 1.0)) x))
5.0ms
(sqrt (fma z z 1.0))
2.0ms
(sqrt (fma z z 1.0))

series335.0ms

Counts
4 → 12
Calls
4 calls:
159.0ms
(/ (/ 1.0 (sqrt (fma z z 1.0))) y)
67.0ms
(/ (/ (/ 1.0 (sqrt (fma z z 1.0))) y) (* (sqrt (fma z z 1.0)) x))
51.0ms
(sqrt (fma z z 1.0))
58.0ms
(sqrt (fma z z 1.0))

simplify120.0ms

Algorithm
egg-herbie
Counts
316 → 316
Iterations

Useful iterations: 2 (79.0ms)

IterNodesCost
011153443
146633199
250023178

prune664.0ms

Filtered
316 candidates to 232 candidates (73.4%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New3160316
Fresh066
Picked011
Done011
Total3168324

Merged error: 6.0b

Counts
324 → 8

localize20.0ms

Local error

Found 4 expressions with local error:

1.2b
(/ (/ (cbrt (/ 1.0 x)) (sqrt (fma z z 1.0))) (cbrt y))
2.8b
(/ (/ (* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x))) (sqrt (fma z z 1.0))) (* (cbrt y) (cbrt y)))
18.0b
(sqrt (fma z z 1.0))
18.0b
(sqrt (fma z z 1.0))

rewrite125.0ms

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:
28.0ms
(/ (/ (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))

series707.0ms

Counts
4 → 12
Calls
4 calls:
251.0ms
(/ (/ (cbrt (/ 1.0 x)) (sqrt (fma z z 1.0))) (cbrt y))
350.0ms
(/ (/ (* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x))) (sqrt (fma z z 1.0))) (* (cbrt y) (cbrt y)))
56.0ms
(sqrt (fma z z 1.0))
50.0ms
(sqrt (fma z z 1.0))

simplify178.0ms

Algorithm
egg-herbie
Counts
811 → 811
Iterations

Useful iterations: 1 (50.0ms)

IterNodesCost
0261214080
1500113738

prune2.6s

Filtered
811 candidates to 543 candidates (67.0%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New8110811
Fresh055
Picked011
Done022
Total8118819

Merged error: 6.0b

Counts
819 → 8

regimes151.0ms

Accuracy

0% (1.1b remaining)

Error of 6.1b against oracle of 5.1b and baseline of 6.1b

bsearch0.0ms

simplify4.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0118
1118

end0.0ms

sample476.0ms

Algorithm
intervals
Results
299.0ms8581×body80valid