Details

Time bar (total: 2.5s)

analyze289.0ms

Algorithm
search

sample16.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
1.0ms19×body80invalid

simplify26.0ms

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

rewrite10.0ms

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

series12.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(* (- 1.0 x) z)
7.0ms
(+ (* x y) (* (- 1.0 x) z))

simplify96.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0185183
1776166
24093166
35001166

prune56.0ms

Filtered
28 candidates to 39 candidates (-39.3%)
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 (* (- 1.0 x) z)) (cbrt (* (- 1.0 x) z)))
0.5b
(cbrt (* (- 1.0 x) z))
0.5b
(cbrt (* (- 1.0 x) z))
0.5b
(cbrt (* (- 1.0 x) z))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*l/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
9×flip3-- pow1/3 flip--
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×frac-times swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×associate-*r/ pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 72
Calls
4 calls:
8.0ms
(* (cbrt (* (- 1.0 x) z)) (cbrt (* (- 1.0 x) z)))
4.0ms
(cbrt (* (- 1.0 x) z))
4.0ms
(cbrt (* (- 1.0 x) z))
5.0ms
(cbrt (* (- 1.0 x) z))

series76.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(* (cbrt (* (- 1.0 x) z)) (cbrt (* (- 1.0 x) z)))
16.0ms
(cbrt (* (- 1.0 x) z))
16.0ms
(cbrt (* (- 1.0 x) z))
17.0ms
(cbrt (* (- 1.0 x) z))

simplify42.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0361905
11157854
25002803

prune204.0ms

Filtered
67 candidates to 84 candidates (-25.4%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New83184
Fresh123
Picked011
Done011
Total84589

Merged error: 0.0b

Counts
89 → 5

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt z) (cbrt z))
0.5b
(cbrt (* (- 1.0 x) z))
0.5b
(cbrt z)
0.5b
(cbrt z)

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
23×cbrt-prod
22×add-sqr-sqrt
14×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×cbrt-div pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 flip3-- pow-plus prod-exp *-commutative flip-- cbrt-unprod
Counts
4 → 73
Calls
4 calls:
5.0ms
(* (cbrt z) (cbrt z))
4.0ms
(cbrt (* (- 1.0 x) z))
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series85.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(* (cbrt z) (cbrt z))
17.0ms
(cbrt (* (- 1.0 x) z))
21.0ms
(cbrt z)
21.0ms
(cbrt z)

simplify109.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (102.0ms)

IterNodesCost
0309455
1919425
24017373
35002360

prune139.0ms

Filtered
59 candidates to 85 candidates (-44.1%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New85085
Fresh022
Picked011
Done022
Total85590

Merged error: 0.0b

Counts
90 → 5

localize12.0ms

Local error

Found 3 expressions with local error:

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))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
14×*-un-lft-identity associate-*l*
10×pow1 add-exp-log associate-*l/ add-cbrt-cube
8×sqrt-prod
6×add-cube-cbrt
5×add-log-exp
4×frac-times flip3-- flip3-+ associate-*r* pow-prod-down prod-exp flip-- cbrt-unprod flip-+ difference-of-squares
2×associate-*r/ *-commutative distribute-lft-out distribute-lft-out--
1×+-commutative sum-log unswap-sqr
Counts
3 → 65
Calls
3 calls:
4.0ms
(+ (* x y) (* (+ (sqrt 1.0) (sqrt x)) (* (- (sqrt 1.0) (sqrt x)) z)))
8.0ms
(* (- (sqrt 1.0) (sqrt x)) z)
14.0ms
(* (+ (sqrt 1.0) (sqrt x)) (* (- (sqrt 1.0) (sqrt x)) z))

series56.0ms

Counts
3 → 9
Calls
3 calls:
18.0ms
(+ (* x y) (* (+ (sqrt 1.0) (sqrt x)) (* (- (sqrt 1.0) (sqrt x)) z)))
10.0ms
(* (- (sqrt 1.0) (sqrt x)) z)
28.0ms
(* (+ (sqrt 1.0) (sqrt x)) (* (- (sqrt 1.0) (sqrt x)) z))

simplify66.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
0488732
12379584
25001566

prune113.0ms

Filtered
56 candidates to 74 candidates (-32.1%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New72274
Fresh101
Picked101
Done033
Total74579

Merged error: 0b

Counts
79 → 5

regimes229.0ms

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

analyze293.0ms

Algorithm
search

sample431.0ms

Algorithm
intervals
Results
232.0ms8000×body80valid
22.0ms688×body80invalid

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