Details

Time bar (total: 2.2s)

sample30.0ms

Algorithm
intervals
Results
10.0ms336×body80valid

simplify17.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (15.0ms)

IterNodesCost
05499
15499

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: 4.6b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- 1.0 y) z)
4.3b
(* x (- 1.0 (* (- 1.0 y) z)))

rewrite14.0ms

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)
6.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

series18.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(* (- 1.0 y) z)
13.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

simplify27.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 0 (23.0ms)

IterNodesCost
05002450

prune98.0ms

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: 4.4b

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))
4.3b
(* x (- 1.0 (* (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y))) (* z (cbrt (- 1.0 y))))))

rewrite19.0ms

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:
4.0ms
(cbrt (- 1.0 y))
4.0ms
(cbrt (- 1.0 y))
3.0ms
(cbrt (- 1.0 y))
6.0ms
(* x (- 1.0 (* (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y))) (* z (cbrt (- 1.0 y))))))

series35.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(cbrt (- 1.0 y))
7.0ms
(cbrt (- 1.0 y))
7.0ms
(cbrt (- 1.0 y))
13.0ms
(* x (- 1.0 (* (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y))) (* z (cbrt (- 1.0 y))))))

simplify25.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 0 (17.0ms)

IterNodesCost
05284832

prune185.0ms

Filtered
64 candidates to 81 candidates (-26.6%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New80181
Fresh358
Picked011
Done011
Total83891

Merged error: 0.0b

Counts
91 → 8

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x 1.0) (* (* x z) (- y 1.0)))
3.9b
(* (* x z) (- y 1.0))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
5×add-sqr-sqrt *-un-lft-identity associate-*r*
4×distribute-rgt-in sub-neg associate-+r+ distribute-lft-in add-log-exp
3×add-cube-cbrt pow-prod-down prod-exp cbrt-unprod
2×associate-*r/
1×+-commutative flip3-- flip3-+ associate-*l* sum-log *-commutative flip-- flip-+ distribute-lft-out-- difference-of-squares
Counts
2 → 41
Calls
2 calls:
5.0ms
(+ (* x 1.0) (* (* x z) (- y 1.0)))
8.0ms
(* (* x z) (- y 1.0))

series22.0ms

Counts
2 → 6
Calls
2 calls:
12.0ms
(+ (* x 1.0) (* (* x z) (- y 1.0)))
10.0ms
(* (* x z) (- y 1.0))

simplify24.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 0 (19.0ms)

IterNodesCost
05240451

prune57.0ms

Filtered
29 candidates to 47 candidates (-62.1%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New46147
Fresh325
Picked011
Done022
Total49655

Merged error: 0.0b

Counts
55 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b
(* z (* z (- y 1.0)))
1.8b
(* (- 1.0 y) (* z (* z (- y 1.0))))
4.7b
(* x (+ (* 1.0 1.0) (* (- 1.0 y) (* z (* z (- y 1.0))))))
13.1b
(/ (* x (+ (* 1.0 1.0) (* (- 1.0 y) (* z (* z (- y 1.0)))))) (+ 1.0 (* (- 1.0 y) z)))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
33×distribute-rgt-in distribute-lft-in
25×add-exp-log add-cbrt-cube
22×associate-*r/
20×pow1
14×add-sqr-sqrt
12×sub-neg *-un-lft-identity
11×associate-*l* prod-exp cbrt-unprod
10×add-cube-cbrt pow-prod-down
7×flip3-- flip--
5×associate-*r*
4×frac-times add-log-exp
3×flip3-+ times-frac associate-/r* *-commutative flip-+
2×cbrt-undiv div-exp associate-*l/ associate-/r/ associate-/l/
1×frac-2neg clear-num div-inv associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 122
Calls
4 calls:
9.0ms
(* z (* z (- y 1.0)))
15.0ms
(* (- 1.0 y) (* z (* z (- y 1.0))))
6.0ms
(* x (+ (* 1.0 1.0) (* (- 1.0 y) (* z (* z (- y 1.0))))))
9.0ms
(/ (* x (+ (* 1.0 1.0) (* (- 1.0 y) (* z (* z (- y 1.0)))))) (+ 1.0 (* (- 1.0 y) z)))

series120.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(* z (* z (- y 1.0)))
9.0ms
(* (- 1.0 y) (* z (* z (- y 1.0))))
41.0ms
(* x (+ (* 1.0 1.0) (* (- 1.0 y) (* z (* z (- y 1.0))))))
63.0ms
(/ (* x (+ (* 1.0 1.0) (* (- 1.0 y) (* z (* z (- y 1.0)))))) (+ 1.0 (* (- 1.0 y) z)))

simplify34.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 0 (20.0ms)

IterNodesCost
050092265

prune158.0ms

Filtered
75 candidates to 134 candidates (-78.7%)
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New1340134
Fresh022
Picked011
Done033
Total1346140

Merged error: 0.0b

Counts
140 → 6

regimes486.0ms

Accuracy

92.4% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 1.8b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02837
12837

end0.0ms

sample706.0ms

Algorithm
intervals
Results
312.0ms10272×body80valid

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