Details

Time bar (total: 2.4s)

sample20.0ms

Algorithm
intervals
Results
7.0ms306×body80valid

simplify8.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0113
1243
2463
3713
4793
5793

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 2.6b

Counts
2 → 1

localize9.0ms

Local error

Found 1 expressions with local error:

2.5b
(* x (- 1.0 (* y z)))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*r* associate-*l* add-cbrt-cube
distribute-rgt-in sub-neg distribute-lft-in associate-*r/
flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod add-log-exp unswap-sqr
Counts
1 → 24
Calls
1 calls:
5.0ms
(* x (- 1.0 (* y z)))

series9.0ms

Counts
1 → 3
Calls
1 calls:
9.0ms
(* x (- 1.0 (* y z)))

simplify52.0ms

Algorithm
egg-herbie
Counts
27 → 27
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
0122127
1493111
21989111
35001111

prune70.0ms

Filtered
17 candidates to 27 candidates (-58.8%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New19827
Fresh000
Picked011
Done000
Total19928

Merged error: 2.5b

Counts
28 → 9

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z))))
2.6b
(cbrt (- 1.0 (* y z)))
2.6b
(cbrt (- 1.0 (* y z)))
2.6b
(cbrt (- 1.0 (* y z)))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
flip3-- pow1/3 flip--
add-exp-log swap-sqr associate-*r* associate-*l*
frac-times add-cbrt-cube add-log-exp unswap-sqr
associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 87
Calls
4 calls:
8.0ms
(* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z))))
2.0ms
(cbrt (- 1.0 (* y z)))
2.0ms
(cbrt (- 1.0 (* y z)))
2.0ms
(cbrt (- 1.0 (* y z)))

series172.0ms

Counts
4 → 12
Calls
4 calls:
54.0ms
(* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z))))
43.0ms
(cbrt (- 1.0 (* y z)))
36.0ms
(cbrt (- 1.0 (* y z)))
38.0ms
(cbrt (- 1.0 (* y z)))

simplify46.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
03521100
113681049
25002988

prune248.0ms

Filtered
75 candidates to 99 candidates (-32.0%)
Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New96399
Fresh077
Picked011
Done011
Total9612108

Merged error: 2.5b

Counts
108 → 12

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
1.1b
(* (cbrt x) (- 1.0 (* y z)))
1.7b
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- 1.0 (* y z))))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-exp-log
13×add-sqr-sqrt
11×add-cbrt-cube
10×cbrt-prod distribute-rgt-in distribute-lft-in
add-cube-cbrt *-un-lft-identity pow-prod-down prod-exp cbrt-unprod
associate-*l*
sub-neg associate-*r/
associate-*r* add-log-exp
flip3-- pow1/3 *-commutative flip-- unswap-sqr
Counts
4 → 82
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
6.0ms
(* (cbrt x) (- 1.0 (* y z)))
11.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- 1.0 (* y z))))

series99.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt x)
21.0ms
(cbrt x)
43.0ms
(* (cbrt x) (- 1.0 (* y z)))
14.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- 1.0 (* y z))))

simplify44.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0323701
11294536
25001439

prune111.0ms

Filtered
57 candidates to 94 candidates (-64.9%)
Pruning

14 alts after pruning (11 fresh and 3 done)

PrunedKeptTotal
New92294
Fresh099
Picked011
Done022
Total9214106

Merged error: 2.5b

Counts
106 → 14

localize9.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (* x (- 1.0 (* y z))))
2.5b
(* x (- 1.0 (* y z)))
2.5b
(* x (- 1.0 (* y z)))
2.5b
(* x (- 1.0 (* y z)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
10×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
associate-*r* associate-*l*
associate-*r/
distribute-rgt-in sub-neg distribute-lft-in
flip3-- flip-- add-log-exp
pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
cbrt-div
cbrt-prod pow1/3
Counts
4 → 83
Calls
4 calls:
3.0ms
(cbrt (* x (- 1.0 (* y z))))
5.0ms
(* x (- 1.0 (* y z)))
5.0ms
(* x (- 1.0 (* y z)))
5.0ms
(* x (- 1.0 (* y z)))

series58.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(cbrt (* x (- 1.0 (* y z))))
9.0ms
(* x (- 1.0 (* y z)))
9.0ms
(* x (- 1.0 (* y z)))
11.0ms
(* x (- 1.0 (* y z)))

simplify72.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 3 (65.0ms)

IterNodesCost
0221491
1777434
22985430
35002427

prune147.0ms

Filtered
64 candidates to 95 candidates (-48.4%)
Pruning

14 alts after pruning (10 fresh and 4 done)

PrunedKeptTotal
New95095
Fresh01010
Picked011
Done033
Total9514109

Merged error: 2.5b

Counts
109 → 14

regimes584.0ms

Accuracy

0% (0.1b remaining)

Error of 3.2b against oracle of 3.0b and baseline of 3.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
093
193

end0.0ms

sample557.0ms

Algorithm
intervals
Results
224.0ms9535×body80valid

Profiling

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