Details

Time bar (total: 2.4s)

sample26.0ms

Algorithm
intervals
Results
9.0ms346×body80valid

simplify28.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (27.0ms)

IterNodesCost
07339
17339

prune6.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 2.6b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- 1.0 y) z)
2.5b
(* x (- 1.0 (* (- 1.0 y) z)))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
8×*-un-lft-identity associate-*l*
6×pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube
2×distribute-rgt-in sub-neg flip3-- distribute-lft-in associate-*r/ pow-prod-down associate-*l/ prod-exp *-commutative flip-- cbrt-unprod add-log-exp unswap-sqr
1×distribute-lft-out-- difference-of-squares
Counts
2 → 46
Calls
2 calls:
7.0ms
(* (- 1.0 y) z)
5.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

series16.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(* (- 1.0 y) z)
11.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

simplify36.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
04969450
14969450

prune97.0ms

Filtered
36 candidates to 52 candidates (-44.4%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New43952
Fresh000
Picked011
Done000
Total431053

Merged error: 2.4b

Counts
53 → 10

localize10.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (- 1.0 y))
0.3b
(cbrt (- 1.0 y))
0.3b
(cbrt (- 1.0 y))
2.5b
(* x (- 1.0 (* (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y))) (* z (cbrt (- 1.0 y))))))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
15×cbrt-prod *-un-lft-identity
9×add-cube-cbrt
6×pow1 add-exp-log cbrt-div add-cbrt-cube
4×flip3-- flip-- add-log-exp
3×pow1/3 associate-*r* associate-*l* distribute-lft-out-- difference-of-squares
2×distribute-rgt-in sub-neg distribute-lft-in associate-*r/
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 69
Calls
4 calls:
3.0ms
(cbrt (- 1.0 y))
3.0ms
(cbrt (- 1.0 y))
3.0ms
(cbrt (- 1.0 y))
7.0ms
(* x (- 1.0 (* (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y))) (* z (cbrt (- 1.0 y))))))

series33.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(cbrt (- 1.0 y))
6.0ms
(cbrt (- 1.0 y))
6.0ms
(cbrt (- 1.0 y))
12.0ms
(* x (- 1.0 (* (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y))) (* z (cbrt (- 1.0 y))))))

simplify72.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 0 (63.0ms)

IterNodesCost
04853795
14853795

prune184.0ms

Filtered
61 candidates to 81 candidates (-32.8%)
Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New78381
Fresh178
Picked011
Done011
Total791291

Merged error: 2.4b

Counts
91 → 12

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (+ 1.0 (* z (- y 1.0)))) (cbrt (+ 1.0 (* z (- y 1.0)))))
2.6b
(cbrt (+ 1.0 (* z (- y 1.0))))
2.6b
(cbrt (+ 1.0 (* z (- y 1.0))))
2.6b
(cbrt (- 1.0 (* (- 1.0 y) z)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
8×flip3-+ flip-+
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 flip3-- pow-plus prod-exp *-commutative flip-- cbrt-unprod
Counts
4 → 87
Calls
4 calls:
9.0ms
(* (cbrt (+ 1.0 (* z (- y 1.0)))) (cbrt (+ 1.0 (* z (- y 1.0)))))
2.0ms
(cbrt (+ 1.0 (* z (- y 1.0))))
2.0ms
(cbrt (+ 1.0 (* z (- y 1.0))))
2.0ms
(cbrt (- 1.0 (* (- 1.0 y) z)))

series91.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(* (cbrt (+ 1.0 (* z (- y 1.0)))) (cbrt (+ 1.0 (* z (- y 1.0)))))
19.0ms
(cbrt (+ 1.0 (* z (- y 1.0))))
21.0ms
(cbrt (+ 1.0 (* z (- y 1.0))))
19.0ms
(cbrt (- 1.0 (* (- 1.0 y) z)))

simplify46.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
054921653

prune273.0ms

Filtered
81 candidates to 99 candidates (-22.2%)
Pruning

12 alts after pruning (9 fresh and 3 done)

PrunedKeptTotal
New99099
Fresh099
Picked011
Done022
Total9912111

Merged error: 2.4b

Counts
111 → 12

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
9×cbrt-prod add-cube-cbrt *-un-lft-identity
6×pow1 add-exp-log add-cbrt-cube
4×add-log-exp
3×pow1/3 associate-*r* associate-*l*
2×distribute-rgt-in sub-neg distribute-lft-in associate-*r/
1×flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod unswap-sqr
Counts
4 → 57
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
6.0ms
(* x (- 1.0 (* (* (- 1.0 y) (* (cbrt z) (cbrt z))) (cbrt z))))

series87.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(cbrt z)
24.0ms
(cbrt z)
23.0ms
(cbrt z)
18.0ms
(* x (- 1.0 (* (* (- 1.0 y) (* (cbrt z) (cbrt z))) (cbrt z))))

simplify49.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
05004441

prune64.0ms

Filtered
47 candidates to 69 candidates (-46.8%)
Pruning

12 alts after pruning (8 fresh and 4 done)

PrunedKeptTotal
New69069
Fresh088
Picked011
Done033
Total691281

Merged error: 2.4b

Counts
81 → 12

regimes611.0ms

Accuracy

0% (0.2b remaining)

Error of 3.5b against oracle of 3.3b and baseline of 3.5b

bsearch0.0ms

simplify5.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
02039
12039

end0.0ms

sample611.0ms

Algorithm
intervals
Results
268.0ms10225×body80valid

Profiling

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