Details

Time bar (total: 2.8s)

sample22.0ms

Algorithm
intervals
Results
7.0ms302×body80valid

simplify8.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0113
1243
2463
3713
4793
5793

prune4.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 3.6b

Counts
2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

3.4b
(* x (- 1.0 (* y z)))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
3×pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*r* associate-*l* add-cbrt-cube
2×distribute-rgt-in sub-neg distribute-lft-in associate-*r/
1×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)))

simplify59.0ms

Algorithm
egg-herbie
Counts
27 → 27
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
0122127
1493111
21989111
35001111

prune59.0ms

Filtered
27 candidates to 17 candidates (37.0%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New22527
Fresh000
Picked011
Done000
Total22628

Merged error: 3.5b

Counts
28 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
1.3b
(* (cbrt x) (- 1.0 (* y z)))
2.4b
(* (* (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
9×add-cube-cbrt *-un-lft-identity pow-prod-down prod-exp cbrt-unprod
7×associate-*l*
6×sub-neg associate-*r/
4×associate-*r* add-log-exp
2×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))))

series98.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt x)
24.0ms
(cbrt x)
39.0ms
(* (cbrt x) (- 1.0 (* y z)))
13.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- 1.0 (* y z))))

simplify44.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0323701
11294536
25001439

prune265.0ms

Filtered
94 candidates to 56 candidates (40.4%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New90494
Fresh044
Picked101
Done011
Total919100

Merged error: 3.4b

Counts
100 → 9

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (cbrt x))
0.6b
(cbrt (* (cbrt x) (cbrt x)))
1.1b
(* (cbrt (* (cbrt x) (cbrt x))) (* (cbrt (cbrt x)) (- 1.0 (* y z))))
2.4b
(* (* (cbrt x) (cbrt x)) (* (cbrt (* (cbrt x) (cbrt x))) (* (cbrt (cbrt x)) (- 1.0 (* y z)))))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
32×distribute-rgt-in distribute-lft-in
30×pow1 add-exp-log
18×pow-prod-down prod-exp cbrt-unprod
15×add-cbrt-cube
12×sub-neg
11×cbrt-prod
10×associate-*r/
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
5×associate-*l*
4×add-log-exp
2×flip3-- pow1/3 associate-*r* *-commutative flip--
Counts
4 → 98
Calls
4 calls:
1.0ms
(cbrt (cbrt x))
4.0ms
(cbrt (* (cbrt x) (cbrt x)))
9.0ms
(* (cbrt (* (cbrt x) (cbrt x))) (* (cbrt (cbrt x)) (- 1.0 (* y z))))
15.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt (* (cbrt x) (cbrt x))) (* (cbrt (cbrt x)) (- 1.0 (* y z)))))

series120.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(cbrt (cbrt x))
34.0ms
(cbrt (* (cbrt x) (cbrt x)))
41.0ms
(* (cbrt (* (cbrt x) (cbrt x))) (* (cbrt (cbrt x)) (- 1.0 (* y z))))
14.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt (* (cbrt x) (cbrt x))) (* (cbrt (cbrt x)) (- 1.0 (* y z)))))

simplify56.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
05161587
117301391
250021295

prune350.0ms

Filtered
110 candidates to 57 candidates (48.2%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1082110
Fresh167
Picked101
Done011
Total1109119

Merged error: 3.4b

Counts
119 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

2.4b
(* (* (cbrt x) (cbrt x)) (* (* (cbrt (* (cbrt x) (- 1.0 (* y z)))) (cbrt (* (cbrt x) (- 1.0 (* y z))))) (cbrt (* (cbrt x) (- 1.0 (* y z))))))
2.7b
(cbrt (* (cbrt x) (- 1.0 (* y z))))
2.7b
(cbrt (* (cbrt x) (- 1.0 (* y z))))
2.7b
(cbrt (* (cbrt x) (- 1.0 (* y z))))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
94×associate-*r/
60×cbrt-div
30×flip3-- flip--
28×frac-times
25×pow1 add-exp-log
19×pow-prod-down
15×prod-exp cbrt-unprod
14×associate-*l/
11×add-cbrt-cube
8×pow1/3
4×add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-log-exp
3×cbrt-prod
1×associate-*r* associate-*l* *-commutative
Counts
4 → 88
Calls
4 calls:
24.0ms
(* (* (cbrt x) (cbrt x)) (* (* (cbrt (* (cbrt x) (- 1.0 (* y z)))) (cbrt (* (cbrt x) (- 1.0 (* y z))))) (cbrt (* (cbrt x) (- 1.0 (* y z))))))
5.0ms
(cbrt (* (cbrt x) (- 1.0 (* y z))))
4.0ms
(cbrt (* (cbrt x) (- 1.0 (* y z))))
4.0ms
(cbrt (* (cbrt x) (- 1.0 (* y z))))

series142.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(* (* (cbrt x) (cbrt x)) (* (* (cbrt (* (cbrt x) (- 1.0 (* y z)))) (cbrt (* (cbrt x) (- 1.0 (* y z))))) (cbrt (* (cbrt x) (- 1.0 (* y z))))))
43.0ms
(cbrt (* (cbrt x) (- 1.0 (* y z))))
42.0ms
(cbrt (* (cbrt x) (- 1.0 (* y z))))
43.0ms
(cbrt (* (cbrt x) (- 1.0 (* y z))))

simplify51.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
05381842
115351504
250011309

prune380.0ms

Filtered
100 candidates to 66 candidates (34.0%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New991100
Fresh077
Picked011
Done011
Total9910109

Merged error: 3.4b

Counts
109 → 10

regimes496.0ms

Accuracy

0% (0.1b remaining)

Error of 3.1b against oracle of 3.0b and baseline of 3.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
093
193

end0.0ms

sample510.0ms

Algorithm
intervals
Results
213.0ms9618×body80valid

Profiling

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