Details

Time bar (total: 3.7s)

sample18.0ms

Algorithm
intervals
Results
8.0ms314×body80valid

simplify225.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 6.1b

Counts
2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(- 1.0 (* (- 1.0 y) z))
0.0b
(* (- 1.0 y) z)
5.7b
(* x (- 1.0 (* (- 1.0 y) z)))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
9×*-un-lft-identity
8×associate-*l*
7×pow1 add-exp-log add-cube-cbrt add-cbrt-cube
6×associate-*r*
5×add-log-exp
3×sub-neg flip3-- flip--
2×distribute-rgt-in distribute-lft-in associate-*r/ pow-prod-down associate-*l/ prod-exp *-commutative cbrt-unprod unswap-sqr
1×diff-log distribute-lft-out-- difference-of-squares
Counts
3 → 58
Calls
3 calls:
3.0ms
(- 1.0 (* (- 1.0 y) z))
6.0ms
(* (- 1.0 y) z)
5.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

series99.0ms

Counts
3 → 9
Calls
3 calls:
21.0ms
(- 1.0 (* (- 1.0 y) z))
29.0ms
(* (- 1.0 y) z)
49.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

simplify97.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0233336
1920299
24132288
35001288

prune109.0ms

Filtered
67 candidates to 43 candidates (64.2%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New60767
Fresh000
Picked011
Done000
Total60868

Merged error: 0.0b

Counts
68 → 8

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x 1.0) (* (* x z) (- y 1.0)))
3.2b
(* (* x z) (- y 1.0))

rewrite15.0ms

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)))
10.0ms
(* (* x z) (- y 1.0))

series109.0ms

Counts
2 → 6
Calls
2 calls:
63.0ms
(+ (* x 1.0) (* (* x z) (- y 1.0)))
46.0ms
(* (* x z) (- y 1.0))

simplify40.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0257266
11177224
25002219

prune79.0ms

Filtered
47 candidates to 30 candidates (63.8%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New42547
Fresh336
Picked011
Done101
Total46955

Merged error: 0.0b

Counts
55 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (- y 1.0))
0.3b
(cbrt (- y 1.0))
0.5b
(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0)))
2.8b
(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
70×cbrt-div
42×associate-*r/
35×flip3-- flip--
34×pow1 add-exp-log
32×frac-times
21×pow-prod-down prod-exp add-cbrt-cube cbrt-unprod
16×associate-*l/
15×cbrt-prod
14×add-sqr-sqrt *-un-lft-identity
9×associate-*r*
8×add-cube-cbrt
4×add-log-exp
3×distribute-lft-out-- difference-of-squares
2×pow1/3 associate-*l* *-commutative
Counts
4 → 118
Calls
4 calls:
3.0ms
(cbrt (- y 1.0))
3.0ms
(cbrt (- y 1.0))
20.0ms
(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0)))
17.0ms
(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

series434.0ms

Counts
4 → 12
Calls
4 calls:
98.0ms
(cbrt (- y 1.0))
99.0ms
(cbrt (- y 1.0))
71.0ms
(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0)))
165.0ms
(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

simplify76.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
06651553
125821345
250011279

prune272.0ms

Filtered
130 candidates to 77 candidates (59.2%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1291130
Fresh167
Picked011
Done011
Total1309139

Merged error: 0.0b

Counts
139 → 9

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (- y 1.0))
0.3b
(cbrt (- y 1.0))
0.4b
(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (* (cbrt (cbrt (- y 1.0))) (cbrt (cbrt (- y 1.0)))))
2.8b
(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
340×cbrt-div
140×frac-times
126×associate-*r/
116×flip3-- flip--
57×pow1 add-exp-log
46×associate-*l/
39×pow-prod-down prod-exp cbrt-unprod
35×add-cbrt-cube
10×cbrt-prod add-sqr-sqrt *-un-lft-identity
6×add-cube-cbrt
4×add-log-exp
2×pow1/3 associate-*r* associate-*l* *-commutative distribute-lft-out-- difference-of-squares
Counts
4 → 180
Calls
4 calls:
3.0ms
(cbrt (- y 1.0))
3.0ms
(cbrt (- y 1.0))
31.0ms
(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (* (cbrt (cbrt (- y 1.0))) (cbrt (cbrt (- y 1.0)))))
14.0ms
(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

series647.0ms

Counts
4 → 12
Calls
4 calls:
101.0ms
(cbrt (- y 1.0))
100.0ms
(cbrt (- y 1.0))
280.0ms
(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (* (cbrt (cbrt (- y 1.0))) (cbrt (cbrt (- y 1.0)))))
166.0ms
(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

simplify122.0ms

Algorithm
egg-herbie
Counts
192 → 192
Iterations

Useful iterations: 2 (89.0ms)

IterNodesCost
012454039
141343754
250023716

prune505.0ms

Filtered
192 candidates to 101 candidates (52.6%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New1920192
Fresh066
Picked011
Done022
Total1929201

Merged error: 0.0b

Counts
201 → 9

regimes225.0ms

Accuracy

94.7% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 1.5b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03817
14217
24917
34917

end0.0ms

sample468.0ms

Algorithm
intervals
Results
267.0ms10133×body80valid

Profiling

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