Details

Time bar (total: 3.5s)

sample17.0ms

Algorithm
intervals
Results
5.0ms284×body80valid

simplify87.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0103
1193
2433
3553
4593
5673
6873
71233
81983
93813
104543
116293
128073
1311673
1415043
1521863
1650023

prune3.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt *-un-lft-identity
4×pow1 add-exp-log add-cube-cbrt associate-*l* add-cbrt-cube add-log-exp
3×associate-*r*
2×associate-*l/
1×sub-neg flip3-- flip3-+ diff-log pow-prod-down prod-exp *-commutative flip-- cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
2 → 33
Calls
2 calls:
5.0ms
(- (* (+ x 1.0) y) x)
6.0ms
(* (+ x 1.0) y)

series56.0ms

Counts
2 → 6
Calls
2 calls:
24.0ms
(- (* (+ x 1.0) y) x)
32.0ms
(* (+ x 1.0) y)

simplify63.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 2 (17.0ms)

IterNodesCost
0149159
1616147
23110145
35001145

prune136.0ms

Filtered
39 candidates to 28 candidates (28.2%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New36339
Fresh000
Picked011
Done000
Total36440

Merged error: 0b

Counts
40 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))
0.3b
(cbrt (+ x 1.0))
0.3b
(cbrt (+ x 1.0))
0.3b
(cbrt (+ x 1.0))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 95
Calls
4 calls:
16.0ms
(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))
5.0ms
(cbrt (+ x 1.0))
5.0ms
(cbrt (+ x 1.0))
5.0ms
(cbrt (+ x 1.0))

series459.0ms

Counts
4 → 12
Calls
4 calls:
119.0ms
(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))
104.0ms
(cbrt (+ x 1.0))
117.0ms
(cbrt (+ x 1.0))
119.0ms
(cbrt (+ x 1.0))

simplify150.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 3 (138.0ms)

IterNodesCost
0306792
1995747
24426669
35003665

prune519.0ms

Filtered
107 candidates to 75 candidates (29.9%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1070107
Fresh022
Picked011
Done011
Total1074111

Merged error: 0b

Counts
111 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ (* (- (* x x) (* 1.0 1.0)) y) (- x 1.0)) x)
0.0b
(- (* x x) (* 1.0 1.0))
5.3b
(* (- (* x x) (* 1.0 1.0)) y)
6.9b
(/ (* (- (* x x) (* 1.0 1.0)) y) (- x 1.0))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
14×*-un-lft-identity
11×add-exp-log add-cbrt-cube
8×add-cube-cbrt add-log-exp
6×pow1
5×flip3-- times-frac associate-/r* flip-- difference-of-squares
4×associate-*l* associate-*l/
3×associate-*r* distribute-lft-out--
2×cbrt-undiv sub-neg diff-log div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
4 → 77
Calls
4 calls:
10.0ms
(- (/ (* (- (* x x) (* 1.0 1.0)) y) (- x 1.0)) x)
3.0ms
(- (* x x) (* 1.0 1.0))
6.0ms
(* (- (* x x) (* 1.0 1.0)) y)
9.0ms
(/ (* (- (* x x) (* 1.0 1.0)) y) (- x 1.0))

series226.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(- (/ (* (- (* x x) (* 1.0 1.0)) y) (- x 1.0)) x)
50.0ms
(- (* x x) (* 1.0 1.0))
51.0ms
(* (- (* x x) (* 1.0 1.0)) y)
75.0ms
(/ (* (- (* x x) (* 1.0 1.0)) y) (- x 1.0))

simplify48.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0354642
11674571
25001562

prune356.0ms

Filtered
89 candidates to 66 candidates (25.8%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New89089
Fresh011
Picked011
Done022
Total89493

Merged error: 0b

Counts
93 → 4

localize6.0ms

Local error

Found 4 expressions with local error:

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

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
16×*-un-lft-identity sqrt-div
15×add-sqr-sqrt
14×associate-*l*
13×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
2×associate-*r/ *-commutative unswap-sqr
1×sub-neg rem-sqrt-square flip3-- sqrt-pow1 pow1/2 diff-log flip--
Counts
4 → 83
Calls
4 calls:
3.0ms
(sqrt (+ x 1.0))
14.0ms
(- (* (sqrt (+ x 1.0)) (* (sqrt (+ x 1.0)) y)) x)
6.0ms
(* (sqrt (+ x 1.0)) y)
11.0ms
(* (sqrt (+ x 1.0)) (* (sqrt (+ x 1.0)) y))

series287.0ms

Counts
4 → 12
Calls
4 calls:
65.0ms
(sqrt (+ x 1.0))
25.0ms
(- (* (sqrt (+ x 1.0)) (* (sqrt (+ x 1.0)) y)) x)
165.0ms
(* (sqrt (+ x 1.0)) y)
32.0ms
(* (sqrt (+ x 1.0)) (* (sqrt (+ x 1.0)) y))

simplify48.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0420651
11489561
25001545

prune396.0ms

Filtered
95 candidates to 63 candidates (33.7%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New95095
Fresh000
Picked011
Done033
Total95499

Merged error: 0b

Counts
99 → 4

regimes121.0ms

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
083
183

end0.0ms

sample407.0ms

Algorithm
intervals
Results
184.0ms9191×body80valid

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