Details

Time bar (total: 1.9s)

sample23.0ms

Algorithm
intervals
Results
9.0ms311×body80valid

simplify27.0ms

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

prune3.0ms

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

rewrite11.0ms

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:
4.0ms
(+ (* x y) (* (- 1.0 x) z))
6.0ms
(* (- 1.0 x) z)

series12.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(+ (* x y) (* (- 1.0 x) z))
5.0ms
(* (- 1.0 x) z)

simplify104.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0185183
1776166
24093166
35001166

prune50.0ms

Filtered
28 candidates to 39 candidates (-39.3%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New36339
Fresh000
Picked011
Done000
Total36440

Merged error: 0b

Counts
40 → 4

localize10.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (sqrt (- 1.0 x)) z)
0.1b
(* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) z))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
16×associate-*l*
15×add-sqr-sqrt
14×sqrt-div
11×*-un-lft-identity sqrt-prod
10×associate-*l/
9×pow1 add-exp-log add-cbrt-cube
7×add-cube-cbrt flip3-- flip--
4×frac-times associate-*r* pow-prod-down prod-exp cbrt-unprod
2×associate-*r/ *-commutative distribute-lft-out-- add-log-exp difference-of-squares unswap-sqr
Counts
2 → 57
Calls
2 calls:
6.0ms
(* (sqrt (- 1.0 x)) z)
11.0ms
(* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) z))

series16.0ms

Counts
2 → 6
Calls
2 calls:
12.0ms
(* (sqrt (- 1.0 x)) z)
5.0ms
(* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) z))

simplify106.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0321422
11132368
24811364
35001364

prune88.0ms

Filtered
41 candidates to 63 candidates (-53.7%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New63063
Fresh022
Picked011
Done011
Total63467

Merged error: 0b

Counts
67 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- 1.0 x) z)
0.1b
(sqrt (+ (* x y) (* (- 1.0 x) z)))
0.1b
(sqrt (+ (* x y) (* (- 1.0 x) z)))
0.3b
(* (sqrt (+ (* x y) (* (- 1.0 x) z))) (sqrt (+ (* x y) (* (- 1.0 x) z))))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
34×add-sqr-sqrt
24×sqrt-prod
23×pow1
18×*-un-lft-identity
16×add-cube-cbrt sqrt-div
11×associate-*l*
10×sqrt-pow1 pow1/2
9×associate-*r*
8×add-exp-log flip3-+ swap-sqr add-cbrt-cube flip-+
5×pow-prod-up unswap-sqr
4×frac-times pow-prod-down associate-*l/ add-log-exp
3×pow-sqr
2×rem-sqrt-square associate-*r/ prod-exp *-commutative cbrt-unprod
1×pow2 flip3-- pow-plus sqrt-unprod rem-square-sqrt flip-- distribute-lft-out-- difference-of-squares
Counts
4 → 109
Calls
4 calls:
6.0ms
(* (- 1.0 x) z)
3.0ms
(sqrt (+ (* x y) (* (- 1.0 x) z)))
3.0ms
(sqrt (+ (* x y) (* (- 1.0 x) z)))
10.0ms
(* (sqrt (+ (* x y) (* (- 1.0 x) z))) (sqrt (+ (* x y) (* (- 1.0 x) z))))

series49.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(* (- 1.0 x) z)
19.0ms
(sqrt (+ (* x y) (* (- 1.0 x) z)))
17.0ms
(sqrt (+ (* x y) (* (- 1.0 x) z)))
8.0ms
(* (sqrt (+ (* x y) (* (- 1.0 x) z))) (sqrt (+ (* x y) (* (- 1.0 x) z))))

simplify50.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0329962
11375869
25002848

prune141.0ms

Filtered
73 candidates to 121 candidates (-65.8%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1210121
Fresh011
Picked011
Done022
Total1214125

Merged error: 0b

Counts
125 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
19×*-un-lft-identity
14×associate-*l* sqrt-prod
11×pow1 add-exp-log add-cbrt-cube
10×associate-*l/
8×add-log-exp difference-of-squares
7×add-cube-cbrt
5×flip3-- flip--
4×frac-times flip3-+ associate-*r* pow-prod-down prod-exp cbrt-unprod flip-+ distribute-lft-out--
2×associate-*r/ *-commutative distribute-lft-out
1×+-commutative sub-neg diff-log sum-log unswap-sqr
Counts
4 → 83
Calls
4 calls:
5.0ms
(- (sqrt 1.0) (sqrt x))
4.0ms
(+ (* x y) (* (+ (sqrt 1.0) (sqrt x)) (* (- (sqrt 1.0) (sqrt x)) z)))
8.0ms
(* (- (sqrt 1.0) (sqrt x)) z)
13.0ms
(* (+ (sqrt 1.0) (sqrt x)) (* (- (sqrt 1.0) (sqrt x)) z))

series57.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(- (sqrt 1.0) (sqrt x))
15.0ms
(+ (* x y) (* (+ (sqrt 1.0) (sqrt x)) (* (- (sqrt 1.0) (sqrt x)) z)))
12.0ms
(* (- (sqrt 1.0) (sqrt x)) z)
27.0ms
(* (+ (sqrt 1.0) (sqrt x)) (* (- (sqrt 1.0) (sqrt x)) z))

simplify64.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
0527866
12496710
25003692

prune132.0ms

Filtered
71 candidates to 95 candidates (-33.8%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New95095
Fresh000
Picked011
Done033
Total95499

Merged error: 0b

Counts
99 → 4

regimes196.0ms

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

sample625.0ms

Algorithm
intervals
Results
280.0ms10016×body80valid

Profiling

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