Details

Time bar (total: 2.2s)

sample16.0ms

Algorithm
intervals
Results
8.0ms336×body80valid

simplify13.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0123
1323
2743
31123
41233
51273
61273

prune1.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

0.1b
(* (* x y) (- 1.0 y))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
18×prod-diff
16×add-sqr-sqrt *-un-lft-identity
14×add-cube-cbrt
11×distribute-rgt-in distribute-lft-in
6×pow1 add-exp-log add-cbrt-cube
5×associate-*r*
3×pow-prod-down prod-exp cbrt-unprod
2×sub-neg associate-*r/
1×expm1-log1p-u flip3-- associate-*l* *-commutative flip-- log1p-expm1-u distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 46
Calls
1 calls:
8.0ms
(* (* x y) (- 1.0 y))

series42.0ms

Counts
1 → 3
Calls
1 calls:
42.0ms
(* (* x y) (- 1.0 y))

simplify48.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0292436
11402284
25001272

prune41.0ms

Filtered
49 candidates to 19 candidates (38.8%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New46349
Fresh000
Picked011
Done000
Total46450

Merged error: 0.0b

Counts
50 → 4

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- 1.0 y))
5.9b
(* x (* y (- 1.0 y)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
55×distribute-rgt-in distribute-lft-in
54×prod-diff
45×add-sqr-sqrt
43×*-un-lft-identity
41×add-cube-cbrt
9×pow1 add-exp-log add-cbrt-cube
6×sub-neg associate-*r/ associate-*r* associate-*l*
4×pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u flip3-- *-commutative flip-- log1p-expm1-u add-log-exp
1×distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 112
Calls
2 calls:
11.0ms
(* y (- 1.0 y))
9.0ms
(* x (* y (- 1.0 y)))

series90.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(* y (- 1.0 y))
41.0ms
(* x (* y (- 1.0 y)))

simplify54.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
03961094
11575666
25002648

prune79.0ms

Filtered
118 candidates to 41 candidates (34.7%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1171118
Fresh022
Picked011
Done011
Total1175122

Merged error: 0.0b

Counts
122 → 5

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- 1.0 y))
0.0b
(sqrt (- 1.0 y))
0.1b
(* (* x y) (sqrt (- 1.0 y)))
0.1b
(* (* (* x y) (sqrt (- 1.0 y))) (sqrt (- 1.0 y)))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
20×pow1 add-sqr-sqrt sqrt-prod
18×add-exp-log *-un-lft-identity sqrt-div add-cbrt-cube
16×associate-*r*
10×add-cube-cbrt associate-*r/
9×flip3-- pow-prod-down prod-exp flip-- cbrt-unprod
4×expm1-log1p-u frac-times log1p-expm1-u distribute-lft-out-- add-log-exp difference-of-squares
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-*l* associate-*l/ *-commutative
Counts
4 → 101
Calls
4 calls:
4.0ms
(sqrt (- 1.0 y))
4.0ms
(sqrt (- 1.0 y))
11.0ms
(* (* x y) (sqrt (- 1.0 y)))
13.0ms
(* (* (* x y) (sqrt (- 1.0 y))) (sqrt (- 1.0 y)))

series205.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(sqrt (- 1.0 y))
35.0ms
(sqrt (- 1.0 y))
98.0ms
(* (* x y) (sqrt (- 1.0 y)))
42.0ms
(* (* (* x y) (sqrt (- 1.0 y))) (sqrt (- 1.0 y)))

simplify56.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0415730
11955629
25001605

prune180.0ms

Filtered
113 candidates to 73 candidates (64.6%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1121113
Fresh022
Picked011
Done022
Total1126118

Merged error: 0.0b

Counts
118 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* x y) (cbrt (pow (sqrt (- 1.0 y)) 3)))
0.1b
(* (* (* x y) (cbrt (pow (sqrt (- 1.0 y)) 3))) (sqrt (- 1.0 y)))
0.2b
(pow (sqrt (- 1.0 y)) 3)
0.9b
(cbrt (pow (sqrt (- 1.0 y)) 3))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
44×cbrt-prod
36×add-sqr-sqrt *-un-lft-identity
35×sqrt-prod
33×associate-*r*
24×unpow-prod-down cube-prod
22×add-cube-cbrt
20×pow1
19×add-exp-log
18×sqrt-div
15×add-cbrt-cube
12×cube-div
10×cbrt-div associate-*r/
9×flip3-- pow-prod-down prod-exp flip-- cbrt-unprod
7×distribute-lft-out-- difference-of-squares
4×expm1-log1p-u frac-times log1p-expm1-u add-log-exp
3×cube-mult pow-unpow pow-pow unpow3 sqr-pow
2×associate-*l* associate-*l/ *-commutative
1×pow-to-exp sqrt-pow1 pow1/2 pow1/3 pow-exp sqrt-pow2 rem-cbrt-cube rem-cube-cbrt
Counts
4 → 155
Calls
4 calls:
16.0ms
(* (* x y) (cbrt (pow (sqrt (- 1.0 y)) 3)))
16.0ms
(* (* (* x y) (cbrt (pow (sqrt (- 1.0 y)) 3))) (sqrt (- 1.0 y)))
5.0ms
(pow (sqrt (- 1.0 y)) 3)
6.0ms
(cbrt (pow (sqrt (- 1.0 y)) 3))

series245.0ms

Counts
4 → 12
Calls
4 calls:
103.0ms
(* (* x y) (cbrt (pow (sqrt (- 1.0 y)) 3)))
41.0ms
(* (* (* x y) (cbrt (pow (sqrt (- 1.0 y)) 3))) (sqrt (- 1.0 y)))
70.0ms
(pow (sqrt (- 1.0 y)) 3)
30.0ms
(cbrt (pow (sqrt (- 1.0 y)) 3))

simplify94.0ms

Algorithm
egg-herbie
Counts
167 → 167
Iterations

Useful iterations: 2 (81.0ms)

IterNodesCost
06151106
13027892
25001868

prune245.0ms

Filtered
167 candidates to 89 candidates (53.3%)
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New1670167
Fresh022
Picked011
Done033
Total1676173

Merged error: 0.0b

Counts
173 → 6

regimes62.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
083
183

end0.0ms

sample556.0ms

Algorithm
intervals
Results
392.0ms10665×body80valid