Details

Time bar (total: 4.8s)

sample16.0ms

Algorithm
intervals
Results
7.0ms276×body80valid

simplify15.0ms

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: 5.2b

Counts
2 → 2

localize10.0ms

Local error

Found 2 expressions with local error:

2.6b
(/ (/ (/ 1.0 x) (fma z z 1.0)) y)
4.1b
(/ (/ 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:
13.0ms
(/ (/ (/ 1.0 x) (fma z z 1.0)) y)
6.0ms
(/ (/ 1.0 x) (fma z z 1.0))

series130.0ms

Counts
2 → 6
Calls
2 calls:
65.0ms
(/ (/ (/ 1.0 x) (fma z z 1.0)) y)
64.0ms
(/ (/ 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

prune741.0ms

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: 5.0b

Counts
274 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (/ (cbrt 1.0) x) (sqrt (fma z z 1.0)))
2.6b
(/ (* (/ (cbrt 1.0) (/ (sqrt (fma z z 1.0)) (cbrt 1.0))) (/ (/ (cbrt 1.0) x) (sqrt (fma z z 1.0)))) y)
17.0b
(sqrt (fma z z 1.0))
17.0b
(sqrt (fma z z 1.0))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
261×times-frac
147×add-sqr-sqrt
145×add-cube-cbrt *-un-lft-identity
75×sqrt-prod
63×cbrt-prod
56×add-exp-log
43×add-cbrt-cube
31×cbrt-undiv div-exp
23×associate-/l*
9×prod-exp associate-/r* cbrt-unprod div-inv
6×pow1
4×expm1-log1p-u log1p-expm1-u associate-/l/ add-log-exp
2×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 clear-num
1×frac-times associate-*r/ associate-*l/
Counts
4 → 249
Calls
4 calls:
10.0ms
(/ (/ (cbrt 1.0) x) (sqrt (fma z z 1.0)))
34.0ms
(/ (* (/ (cbrt 1.0) (/ (sqrt (fma z z 1.0)) (cbrt 1.0))) (/ (/ (cbrt 1.0) x) (sqrt (fma z z 1.0)))) y)
1.0ms
(sqrt (fma z z 1.0))
2.0ms
(sqrt (fma z z 1.0))

series338.0ms

Counts
4 → 12
Calls
4 calls:
101.0ms
(/ (/ (cbrt 1.0) x) (sqrt (fma z z 1.0)))
135.0ms
(/ (* (/ (cbrt 1.0) (/ (sqrt (fma z z 1.0)) (cbrt 1.0))) (/ (/ (cbrt 1.0) x) (sqrt (fma z z 1.0)))) y)
53.0ms
(sqrt (fma z z 1.0))
49.0ms
(sqrt (fma z z 1.0))

simplify112.0ms

Algorithm
egg-herbie
Counts
261 → 261
Iterations

Useful iterations: 2 (83.0ms)

IterNodesCost
010593191
145462891
250032873

prune683.0ms

Filtered
261 candidates to 169 candidates (64.8%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New2583261
Fresh347
Picked011
Done000
Total2618269

Merged error: 5.0b

Counts
269 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (/ (cbrt 1.0) x) (sqrt (fma z z 1.0)))
2.6b
(* (* (/ (cbrt 1.0) (/ (sqrt (fma z z 1.0)) (cbrt 1.0))) (/ (/ (cbrt 1.0) x) (sqrt (fma z z 1.0)))) (/ 1 y))
17.0b
(sqrt (fma z z 1.0))
17.0b
(sqrt (fma z z 1.0))

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
267×times-frac
207×add-exp-log
152×add-sqr-sqrt
150×add-cube-cbrt *-un-lft-identity
95×div-exp
88×add-cbrt-cube
76×prod-exp
75×sqrt-prod
63×cbrt-prod
49×cbrt-undiv
38×cbrt-unprod
22×associate-/l*
13×associate-*r*
11×pow1
10×rec-exp 1-exp
9×div-inv
6×associate-/r*
5×frac-times associate-*l/
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-*r/ pow-prod-down
2×rem-sqrt-square sqrt-pow1 pow1/2
1×frac-2neg associate-*l* clear-num un-div-inv *-commutative associate-/l/
Counts
4 → 301
Calls
4 calls:
10.0ms
(/ (/ (cbrt 1.0) x) (sqrt (fma z z 1.0)))
38.0ms
(* (* (/ (cbrt 1.0) (/ (sqrt (fma z z 1.0)) (cbrt 1.0))) (/ (/ (cbrt 1.0) x) (sqrt (fma z z 1.0)))) (/ 1 y))
2.0ms
(sqrt (fma z z 1.0))
4.0ms
(sqrt (fma z z 1.0))

series345.0ms

Counts
4 → 12
Calls
4 calls:
104.0ms
(/ (/ (cbrt 1.0) x) (sqrt (fma z z 1.0)))
135.0ms
(* (* (/ (cbrt 1.0) (/ (sqrt (fma z z 1.0)) (cbrt 1.0))) (/ (/ (cbrt 1.0) x) (sqrt (fma z z 1.0)))) (/ 1 y))
54.0ms
(sqrt (fma z z 1.0))
52.0ms
(sqrt (fma z z 1.0))

simplify67.0ms

Algorithm
egg-herbie
Counts
313 → 313
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
013524174
150013684

prune794.0ms

Filtered
313 candidates to 188 candidates (60.1%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New3121313
Fresh156
Picked011
Done011
Total3138321

Merged error: 5.0b

Counts
321 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

1.1b
(/ (/ 1.0 (sqrt (fma z z 1.0))) (* y (* (sqrt (fma z z 1.0)) x)))
3.1b
(* y (* (sqrt (fma z z 1.0)) x))
17.0b
(sqrt (fma z z 1.0))
17.0b
(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))

series268.0ms

Counts
4 → 12
Calls
4 calls:
100.0ms
(/ (/ 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))
49.0ms
(sqrt (fma z z 1.0))
54.0ms
(sqrt (fma z z 1.0))

simplify84.0ms

Algorithm
egg-herbie
Counts
132 → 132
Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
05671118
12247960
25001891

prune310.0ms

Filtered
132 candidates to 94 candidates (71.2%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1302132
Fresh235
Picked011
Done112
Total1337140

Merged error: 5.0b

Counts
140 → 7

regimes93.0ms

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
01413
11413

end0.0ms

sample408.0ms

Algorithm
intervals
Results
236.0ms8635×body80valid