Details

Time bar (total: 3.9s)

sample30.0ms

Algorithm
intervals
Results
9.0ms199×body80valid
3.0ms19×body640valid
3.0ms13×body1280valid
2.0ms18×body320valid
1.0ms7×body160valid

simplify104.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 4 (18.0ms)

IterNodesCost
0165
1355
2765
31375
42854
54594
67194
78484
810644
913974
1021014
1150024

prune7.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 13.7b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (+ y 1.0))
1.7b
(fma (/ y (+ y 1.0)) (- x 1.0) 1.0)

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
12×times-frac
11×add-sqr-sqrt add-cube-cbrt
4×add-exp-log associate-/r* add-cbrt-cube distribute-lft-out
3×associate-/l*
2×pow1 expm1-log1p-u associate-/r/ log1p-expm1-u add-log-exp
1×cbrt-undiv frac-2neg flip3-+ div-exp clear-num flip-+ fma-udef div-inv
Counts
2 → 45
Calls
2 calls:
6.0ms
(/ y (+ y 1.0))
1.0ms
(fma (/ y (+ y 1.0)) (- x 1.0) 1.0)

series107.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(/ y (+ y 1.0))
68.0ms
(fma (/ y (+ y 1.0)) (- x 1.0) 1.0)

simplify127.0ms

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 3 (121.0ms)

IterNodesCost
0203263
1708238
23148232
35002228

prune155.0ms

Filtered
51 candidates to 40 candidates (78.4%)
Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 6.1b

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (+ y 1.0))
0.3b
(cbrt (+ y 1.0))
0.3b
(cbrt (+ y 1.0))
10.4b
(fma (/ (/ y (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (cbrt (+ y 1.0))) (- x 1.0) 1.0)

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
13×*-un-lft-identity
12×cbrt-prod
7×add-sqr-sqrt add-cube-cbrt
6×cbrt-div
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×flip3-+ pow1/3 flip-+ distribute-lft-out
1×fma-udef
Counts
4 → 58
Calls
4 calls:
3.0ms
(cbrt (+ y 1.0))
3.0ms
(cbrt (+ y 1.0))
3.0ms
(cbrt (+ y 1.0))
1.0ms
(fma (/ (/ y (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (cbrt (+ y 1.0))) (- x 1.0) 1.0)

series395.0ms

Counts
4 → 12
Calls
4 calls:
109.0ms
(cbrt (+ y 1.0))
115.0ms
(cbrt (+ y 1.0))
107.0ms
(cbrt (+ y 1.0))
64.0ms
(fma (/ (/ y (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (cbrt (+ y 1.0))) (- x 1.0) 1.0)

simplify85.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 3 (76.0ms)

IterNodesCost
0230552
1657500
22252479
35001448

prune295.0ms

Filtered
70 candidates to 62 candidates (88.6%)
Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 6.1b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
9.7b
(fma (* (* (cbrt y) (cbrt y)) (/ (cbrt y) (+ y 1.0))) (- x 1.0) 1.0)

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×pow1/3
1×fma-udef
Counts
4 → 49
Calls
4 calls:
2.0ms
(cbrt y)
1.0ms
(cbrt y)
2.0ms
(cbrt y)
1.0ms
(fma (* (* (cbrt y) (cbrt y)) (/ (cbrt y) (+ y 1.0))) (- x 1.0) 1.0)

series674.0ms

Counts
4 → 12
Calls
4 calls:
182.0ms
(cbrt y)
201.0ms
(cbrt y)
202.0ms
(cbrt y)
88.0ms
(fma (* (* (cbrt y) (cbrt y)) (/ (cbrt y) (+ y 1.0))) (- x 1.0) 1.0)

simplify58.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 3 (52.0ms)

IterNodesCost
0104277
1282243
21092232
35002228

prune220.0ms

Filtered
61 candidates to 53 candidates (86.9%)
Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 6.1b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
10.4b
(fma (* (* (cbrt y) (cbrt y)) (/ (* (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y))) (+ y 1.0))) (- x 1.0) 1.0)

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×pow1/3
1×fma-udef
Counts
4 → 49
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(fma (* (* (cbrt y) (cbrt y)) (/ (* (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y))) (+ y 1.0))) (- x 1.0) 1.0)

series653.0ms

Counts
4 → 12
Calls
4 calls:
196.0ms
(cbrt y)
191.0ms
(cbrt y)
189.0ms
(cbrt y)
77.0ms
(fma (* (* (cbrt y) (cbrt y)) (/ (* (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y))) (+ y 1.0))) (- x 1.0) 1.0)

simplify49.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 3 (44.0ms)

IterNodesCost
0109368
1305316
21268297
35001284

prune239.0ms

Filtered
61 candidates to 53 candidates (86.9%)
Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 6.1b

regimes138.0ms

Accuracy

98% (0.3b remaining)

Error of 7.2b against oracle of 6.9b and baseline of 22.2b

bsearch80.0ms

Steps
ItersRangePoint
8
2.2516274681594366e+51
6.938439791906156e+55
2.2952104397715348e+51
6
-177820180.35061023
-21754618.13974568
-174644895.8253552

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03316
13316

end0.0ms

sample442.0ms

Algorithm
intervals
Results
155.0ms6152×body80valid
62.0ms697×body640valid
40.0ms331×body1280valid
36.0ms534×body320valid
13.0ms286×body160valid