Details

Time bar (total: 2.3s)

sample22.0ms

Algorithm
intervals
Results
8.0ms310×body80valid

simplify215.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0144
1344
2844
32064
44064
55404
67064
79574
814584
923844
1033754
1137624
1243764
1350024

prune7.0ms

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: 3.8b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- 1.0 y) z)
3.6b
(* x (- 1.0 (* (- 1.0 y) z)))

rewrite12.0ms

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:
6.0ms
(* (- 1.0 y) z)
5.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

series15.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(* (- 1.0 y) z)
11.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

simplify91.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0211251
1863221
23970215
35001215

prune58.0ms

Filtered
52 candidates to 33 candidates (36.5%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New50252
Fresh000
Picked011
Done000
Total50353

Merged error: 0.0b

Counts
53 → 3

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

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:
4.0ms
(+ (* x 1.0) (* (* x z) (- y 1.0)))
7.0ms
(* (* x z) (- y 1.0))

series21.0ms

Counts
2 → 6
Calls
2 calls:
12.0ms
(+ (* x 1.0) (* (* x z) (- y 1.0)))
8.0ms
(* (* x z) (- y 1.0))

simplify38.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0257266
11177224
25002219

prune53.0ms

Filtered
47 candidates to 30 candidates (36.2%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New45247
Fresh011
Picked011
Done011
Total45550

Merged error: 0.0b

Counts
50 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

2.5b
(* (* x z) (- y 1.0))
6.4b
(cbrt (* (* x z) (- y 1.0)))
6.4b
(cbrt (* (* x z) (- y 1.0)))
6.4b
(cbrt (* (* x z) (- y 1.0)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1 add-exp-log add-cbrt-cube
8×associate-*r/
7×add-sqr-sqrt *-un-lft-identity
6×cbrt-div
5×add-cube-cbrt associate-*r*
4×flip3-- flip-- add-log-exp
3×cbrt-prod pow1/3 pow-prod-down prod-exp cbrt-unprod
2×distribute-rgt-in sub-neg distribute-lft-in
1×associate-*l* *-commutative distribute-lft-out-- difference-of-squares
Counts
4 → 59
Calls
4 calls:
7.0ms
(* (* x z) (- y 1.0))
5.0ms
(cbrt (* (* x z) (- y 1.0)))
5.0ms
(cbrt (* (* x z) (- y 1.0)))
5.0ms
(cbrt (* (* x z) (- y 1.0)))

series97.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(* (* x z) (- y 1.0))
29.0ms
(cbrt (* (* x z) (- y 1.0)))
31.0ms
(cbrt (* (* x z) (- y 1.0)))
29.0ms
(cbrt (* (* x z) (- y 1.0)))

simplify40.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0351771
11391719
25002686

prune165.0ms

Filtered
71 candidates to 55 candidates (22.5%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New71071
Fresh022
Picked011
Done022
Total71576

Merged error: 0.0b

Counts
76 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b
(* x (sqrt (- 1.0 (* (- 1.0 y) z))))
0.1b
(* (* x (sqrt (- 1.0 (* (- 1.0 y) z)))) (sqrt (- 1.0 (* (- 1.0 y) z))))
1.9b
(sqrt (- 1.0 (* (- 1.0 y) z)))
1.9b
(sqrt (- 1.0 (* (- 1.0 y) z)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
18×sqrt-div
17×add-sqr-sqrt
13×pow1 sqrt-prod
12×associate-*r*
11×add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
10×associate-*r/
9×flip3-- flip--
4×frac-times associate-*l* pow-prod-down prod-exp cbrt-unprod add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-*l/ *-commutative unswap-sqr
Counts
4 → 83
Calls
4 calls:
6.0ms
(* x (sqrt (- 1.0 (* (- 1.0 y) z))))
9.0ms
(* (* x (sqrt (- 1.0 (* (- 1.0 y) z)))) (sqrt (- 1.0 (* (- 1.0 y) z))))
2.0ms
(sqrt (- 1.0 (* (- 1.0 y) z)))
2.0ms
(sqrt (- 1.0 (* (- 1.0 y) z)))

series64.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* x (sqrt (- 1.0 (* (- 1.0 y) z))))
11.0ms
(* (* x (sqrt (- 1.0 (* (- 1.0 y) z)))) (sqrt (- 1.0 (* (- 1.0 y) z))))
14.0ms
(sqrt (- 1.0 (* (- 1.0 y) z)))
14.0ms
(sqrt (- 1.0 (* (- 1.0 y) z)))

simplify46.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0364871
11514773
25001767

prune145.0ms

Filtered
95 candidates to 68 candidates (28.4%)
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New95095
Fresh011
Picked011
Done033
Total955100

Merged error: 0.0b

Counts
100 → 5

regimes504.0ms

Accuracy

92.6% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 1.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02817
12817

end0.0ms

sample612.0ms

Algorithm
intervals
Results
271.0ms10113×body80valid

Profiling

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