Details

Time bar (total: 2.8s)

sample18.0ms

Algorithm
intervals
Results
9.0ms309×body80valid

simplify29.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0134
1204
2344
3494
4574
5694
6904
71274
81764
93044
104394
114494
124494

prune2.0ms

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: 0.0b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- 1.0 x) y)
0.0b
(+ (* (- 1.0 x) y) (* x z))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
6×*-un-lft-identity
5×associate-*l*
4×pow1 add-exp-log add-cube-cbrt add-cbrt-cube add-log-exp
3×associate-*r*
2×associate-*l/
1×+-commutative flip3-- flip3-+ pow-prod-down prod-exp sum-log *-commutative flip-- cbrt-unprod flip-+ distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 33
Calls
2 calls:
6.0ms
(* (- 1.0 x) y)
6.0ms
(+ (* (- 1.0 x) y) (* x z))

series64.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(* (- 1.0 x) y)
36.0ms
(+ (* (- 1.0 x) y) (* x z))

simplify99.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
0184181
1787167
24082166
35001166

prune65.0ms

Filtered
39 candidates to 29 candidates (74.4%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New35439
Fresh000
Picked011
Done000
Total35540

Merged error: 0.0b

Counts
40 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt y) (cbrt y))
0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
5.0ms
(* (cbrt y) (cbrt y))
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series743.0ms

Counts
4 → 12
Calls
4 calls:
215.0ms
(* (cbrt y) (cbrt y))
182.0ms
(cbrt y)
172.0ms
(cbrt y)
174.0ms
(cbrt y)

simplify89.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (84.0ms)

IterNodesCost
0115288
1472261
22959238
35003235

prune177.0ms

Filtered
85 candidates to 64 candidates (75.3%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New85085
Fresh033
Picked011
Done011
Total85590

Merged error: 0.0b

Counts
90 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* 1.0 1.0) (* x x))
0.0b
(+ (/ (* (- (* 1.0 1.0) (* x x)) y) (+ 1.0 x)) (* x z))
2.7b
(* (- (* 1.0 1.0) (* x x)) y)
8.2b
(/ (* (- (* 1.0 1.0) (* x x)) y) (+ 1.0 x))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
12×*-un-lft-identity
11×add-exp-log add-cbrt-cube
10×add-sqr-sqrt
8×add-cube-cbrt add-log-exp
6×pow1
4×times-frac associate-*l* associate-*l/ associate-/r*
3×flip3-- associate-*r* flip--
2×cbrt-undiv flip3-+ div-exp prod-exp associate-/r/ cbrt-unprod flip-+ associate-/l/ distribute-lft-out difference-of-squares
1×+-commutative sub-neg frac-2neg diff-log pow-prod-down clear-num sum-log *-commutative div-inv associate-/l* unswap-sqr
Counts
4 → 72
Calls
4 calls:
3.0ms
(- (* 1.0 1.0) (* x x))
9.0ms
(+ (/ (* (- (* 1.0 1.0) (* x x)) y) (+ 1.0 x)) (* x z))
6.0ms
(* (- (* 1.0 1.0) (* x x)) y)
9.0ms
(/ (* (- (* 1.0 1.0) (* x x)) y) (+ 1.0 x))

series198.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(- (* 1.0 1.0) (* x x))
54.0ms
(+ (/ (* (- (* 1.0 1.0) (* x x)) y) (+ 1.0 x)) (* x z))
44.0ms
(* (- (* 1.0 1.0) (* x x)) y)
58.0ms
(/ (* (- (* 1.0 1.0) (* x x)) y) (+ 1.0 x))

simplify53.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0377611
11804539
25001530

prune156.0ms

Filtered
84 candidates to 62 candidates (73.8%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New83184
Fresh022
Picked011
Done022
Total83689

Merged error: 0.0b

Counts
89 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
16×*-un-lft-identity sqrt-div associate-*l* sqrt-prod
12×pow1
11×add-exp-log add-cbrt-cube
10×add-cube-cbrt associate-*l/
8×flip3-- flip--
6×add-log-exp
4×frac-times associate-*r* pow-prod-down prod-exp cbrt-unprod
3×distribute-lft-out-- difference-of-squares
2×associate-*r/ *-commutative unswap-sqr
1×+-commutative rem-sqrt-square sqrt-pow1 flip3-+ pow1/2 sum-log flip-+
Counts
4 → 85
Calls
4 calls:
3.0ms
(sqrt (- 1.0 x))
12.0ms
(+ (* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) y)) (* x z))
7.0ms
(* (sqrt (- 1.0 x)) y)
15.0ms
(* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) y))

series188.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(sqrt (- 1.0 x))
39.0ms
(+ (* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) y)) (* x z))
90.0ms
(* (sqrt (- 1.0 x)) y)
29.0ms
(* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) y))

simplify48.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0408651
11430563
25002549

prune179.0ms

Filtered
97 candidates to 65 candidates (67.0%)
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New96197
Fresh112
Picked011
Done033
Total976103

Merged error: 0.0b

Counts
103 → 6

regimes91.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0114
1114

end0.0ms

sample505.0ms

Algorithm
intervals
Results
300.0ms10208×body80valid

Profiling

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