Details

Time bar (total: 2.8s)

sample18.0ms

Algorithm
intervals
Results
8.0ms324×body80valid

simplify146.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0154
1294
2654
31284
41744
51894
62064
72554
83504
96254
1013524
1118314
1226184
1337484
1450014

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: 0.4b

Counts
2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* (* (- y x) 6.0) z))
0.0b
(* (- y x) 6.0)
0.5b
(* (* (- y x) 6.0) z)

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
10×pow1 add-exp-log add-sqr-sqrt add-cbrt-cube
8×*-un-lft-identity
6×add-cube-cbrt associate-*r* associate-*l* associate-*l/
5×add-log-exp
4×pow-prod-down prod-exp cbrt-unprod
2×flip3-- *-commutative flip--
1×+-commutative flip3-+ sum-log flip-+ distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 53
Calls
3 calls:
3.0ms
(+ x (* (* (- y x) 6.0) z))
6.0ms
(* (- y x) 6.0)
11.0ms
(* (* (- y x) 6.0) z)

series111.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(+ x (* (* (- y x) 6.0) z))
28.0ms
(* (- y x) 6.0)
36.0ms
(* (* (- y x) 6.0) z)

simplify37.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0246290
11073249
25001249

prune96.0ms

Filtered
62 candidates to 40 candidates (64.5%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New58462
Fresh000
Picked011
Done000
Total58563

Merged error: 0.0b

Counts
63 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (- y x) (* 6.0 z)))
0.3b
(* (- y x) (* 6.0 z))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
5×add-sqr-sqrt *-un-lft-identity associate-*l*
4×add-log-exp
3×add-cube-cbrt pow-prod-down prod-exp cbrt-unprod
2×associate-*l/
1×+-commutative flip3-- flip3-+ associate-*r* sum-log *-commutative flip-- flip-+ distribute-lft-out-- difference-of-squares
Counts
2 → 33
Calls
2 calls:
3.0ms
(+ x (* (- y x) (* 6.0 z)))
7.0ms
(* (- y x) (* 6.0 z))

series82.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(+ x (* (- y x) (* 6.0 z)))
36.0ms
(* (- y x) (* 6.0 z))

simplify103.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0206210
1717179
23878179
35003179

prune53.0ms

Filtered
39 candidates to 24 candidates (61.5%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New39039
Fresh033
Picked011
Done011
Total39544

Merged error: 0.0b

Counts
44 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (* (* (cbrt (* (- y x) 6.0)) (cbrt (* (- y x) 6.0))) (cbrt (* (- y x) 6.0))) z)
0.8b
(cbrt (* (- y x) 6.0))
0.8b
(cbrt (* (- y x) 6.0))
0.8b
(cbrt (* (- y x) 6.0))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
100×associate-*l/
60×cbrt-div
30×flip3-- flip--
28×frac-times
13×pow1 add-exp-log
9×add-cbrt-cube
8×associate-*r/
6×pow-prod-down prod-exp cbrt-unprod
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×add-log-exp
3×cbrt-prod pow1/3 associate-*r*
1×associate-*l* *-commutative
Counts
4 → 80
Calls
4 calls:
16.0ms
(* (* (* (cbrt (* (- y x) 6.0)) (cbrt (* (- y x) 6.0))) (cbrt (* (- y x) 6.0))) z)
5.0ms
(cbrt (* (- y x) 6.0))
5.0ms
(cbrt (* (- y x) 6.0))
5.0ms
(cbrt (* (- y x) 6.0))

series744.0ms

Counts
4 → 12
Calls
4 calls:
98.0ms
(* (* (* (cbrt (* (- y x) 6.0)) (cbrt (* (- y x) 6.0))) (cbrt (* (- y x) 6.0))) z)
218.0ms
(cbrt (* (- y x) 6.0))
211.0ms
(cbrt (* (- y x) 6.0))
217.0ms
(cbrt (* (- y x) 6.0))

simplify47.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
04231056
11280916
25002842

prune230.0ms

Filtered
92 candidates to 67 candidates (72.8%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New92092
Fresh022
Picked011
Done022
Total92597

Merged error: 0.0b

Counts
97 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (- (* y y) (* x x)) 6.0)
3.1b
(- (* y y) (* x x))
9.5b
(* (* (- (* y y) (* x x)) 6.0) z)
20.2b
(/ (* (* (- (* y y) (* x x)) 6.0) z) (+ y x))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
20×add-exp-log add-cbrt-cube
13×*-un-lft-identity
11×pow1 add-sqr-sqrt
10×associate-*l/
9×add-cube-cbrt
7×prod-exp cbrt-unprod
6×associate-*r* add-log-exp
5×associate-*l*
4×flip3-- times-frac pow-prod-down associate-/r* flip--
3×cbrt-undiv div-exp
2×associate-/r/ *-commutative associate-/l/ distribute-lft-out difference-of-squares
1×sub-neg frac-2neg flip3-+ diff-log clear-num flip-+ div-inv associate-/l* unswap-sqr
Counts
4 → 83
Calls
4 calls:
6.0ms
(* (- (* y y) (* x x)) 6.0)
4.0ms
(- (* y y) (* x x))
12.0ms
(* (* (- (* y y) (* x x)) 6.0) z)
11.0ms
(/ (* (* (- (* y y) (* x x)) 6.0) z) (+ y x))

series198.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(* (- (* y y) (* x x)) 6.0)
30.0ms
(- (* y y) (* x x))
56.0ms
(* (* (- (* y y) (* x x)) 6.0) z)
63.0ms
(/ (* (* (- (* y y) (* x x)) 6.0) z) (+ y x))

simplify64.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0396690
12263562
25001562

prune148.0ms

Filtered
95 candidates to 62 candidates (65.3%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New94195
Fresh011
Picked011
Done123
Total955100

Merged error: 0.0b

Counts
100 → 5

regimes85.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0114
1114

end0.0ms

sample485.0ms

Algorithm
intervals
Results
281.0ms10213×body80valid

Profiling

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