Details

Time bar (total: 1.9s)

sample22.0ms

Algorithm
intervals
Results
8.0ms319×body80valid

simplify150.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.3b

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)
0.4b
(* (* (- y x) 6.0) z)

rewrite22.0ms

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))
10.0ms
(* (- y x) 6.0)
7.0ms
(* (* (- y x) 6.0) z)

series22.0ms

Counts
3 → 9
Calls
3 calls:
10.0ms
(+ x (* (* (- y x) 6.0) z))
4.0ms
(* (- y x) 6.0)
8.0ms
(* (* (- y x) 6.0) z)

simplify37.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0246290
11073249
25001249

prune77.0ms

Filtered
40 candidates to 62 candidates (-55.0%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New56662
Fresh000
Picked011
Done000
Total56763

Merged error: 0.0b

Counts
63 → 7

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (- y x) (* 6.0 z)))
0.2b
(* (- y x) (* 6.0 z))

rewrite13.0ms

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:
5.0ms
(+ x (* (- y x) (* 6.0 z)))
7.0ms
(* (- y x) (* 6.0 z))

series17.0ms

Counts
2 → 6
Calls
2 calls:
9.0ms
(+ x (* (- y x) (* 6.0 z)))
8.0ms
(* (- y x) (* 6.0 z))

simplify102.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0206210
1717179
23878179
35003179

prune52.0ms

Filtered
24 candidates to 39 candidates (-62.5%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New38139
Fresh055
Picked011
Done011
Total38846

Merged error: 0b

Counts
46 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (* (- y x) 6.0) (* (cbrt z) (cbrt z)))
0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1 add-exp-log
12×add-cbrt-cube
9×cbrt-prod
8×pow-prod-down prod-exp cbrt-unprod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×associate-*l/ add-log-exp
3×pow1/3
1×flip3-- associate-*r* associate-*l* *-commutative flip--
Counts
4 → 57
Calls
4 calls:
12.0ms
(* (* (- y x) 6.0) (* (cbrt z) (cbrt z)))
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series110.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(* (* (- y x) 6.0) (* (cbrt z) (cbrt z)))
24.0ms
(cbrt z)
22.0ms
(cbrt z)
22.0ms
(cbrt z)

simplify114.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 3 (109.0ms)

IterNodesCost
0301417
1992329
24807287
35001282

prune75.0ms

Filtered
46 candidates to 69 candidates (-50.0%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New69069
Fresh055
Picked011
Done022
Total69877

Merged error: 0b

Counts
77 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (- (* y y) (* x x)) 6.0)
0.4b
(* (/ (* (- (* y y) (* x x)) 6.0) (+ y x)) z)
1.6b
(- (* y y) (* x x))
24.8b
(/ (* (- (* y y) (* x x)) 6.0) (+ y x))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
20×add-exp-log add-cbrt-cube
17×*-un-lft-identity
15×add-sqr-sqrt
14×associate-*l*
11×add-cube-cbrt
8×pow1 times-frac
6×associate-*r* prod-exp cbrt-unprod add-log-exp
5×associate-*l/
4×cbrt-undiv div-exp associate-/r* associate-/r/
3×flip3-- flip-- distribute-lft-out
2×flip3-+ pow-prod-down *-commutative flip-+ div-inv associate-/l/ difference-of-squares unswap-sqr
1×sub-neg frac-2neg diff-log clear-num associate-/l*
Counts
4 → 91
Calls
4 calls:
6.0ms
(* (- (* y y) (* x x)) 6.0)
10.0ms
(* (/ (* (- (* y y) (* x x)) 6.0) (+ y x)) z)
3.0ms
(- (* y y) (* x x))
9.0ms
(/ (* (- (* y y) (* x x)) 6.0) (+ y x))

series38.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(* (- (* y y) (* x x)) 6.0)
15.0ms
(* (/ (* (- (* y y) (* x x)) 6.0) (+ y x)) z)
6.0ms
(- (* y y) (* x x))
10.0ms
(/ (* (- (* y y) (* x x)) 6.0) (+ y x))

simplify61.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0415746
12201614
25001606

prune87.0ms

Filtered
67 candidates to 103 candidates (-53.7%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1021103
Fresh134
Picked011
Done123
Total1047111

Merged error: 0b

Counts
111 → 7

regimes229.0ms

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

sample598.0ms

Algorithm
intervals
Results
263.0ms9989×body80valid

Profiling

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