Details

Time bar (total: 9.3s)

sample57.0ms

Algorithm
intervals
Results
18.0ms379×body80valid

simplify51.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0328
1698
21348
32258
43788
55988
68158
710358
811438
912118
1012118

prune6.0ms

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: 0.0b

Counts
2 → 1

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x y) (/ (* z t) 16.0))
0.0b
(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
0.0b
(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
19×add-log-exp
10×*-un-lft-identity
6×sum-log
5×add-sqr-sqrt
4×diff-log
3×pow1 add-exp-log add-cube-cbrt associate-+l+ flip3-+ add-cbrt-cube flip-+
2×+-commutative sub-neg associate--l+ frac-sub distribute-lft-out distribute-lft-out--
1×associate-+l- flip3-- flip-- difference-of-squares
Counts
3 → 48
Calls
3 calls:
4.0ms
(+ (* x y) (/ (* z t) 16.0))
10.0ms
(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
8.0ms
(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))

series300.0ms

Counts
3 → 9
Calls
3 calls:
51.0ms
(+ (* x y) (/ (* z t) 16.0))
159.0ms
(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
90.0ms
(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))

simplify149.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0282548
11017527
24883513
35001513

prune181.0ms

Filtered
57 candidates to 43 candidates (24.6%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New54357
Fresh000
Picked011
Done000
Total54458

Merged error: 0.0b

Counts
58 → 4

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))) (cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))))
0.6b
(cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))
0.6b
(cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))
0.6b
(cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
52×cbrt-div
43×cbrt-prod
37×add-sqr-sqrt
35×*-un-lft-identity
26×frac-sub
16×frac-times
15×add-cube-cbrt
13×flip3-- flip3-+ flip-- flip-+
11×pow1
10×swap-sqr
9×pow1/3 distribute-lft-out--
8×associate-*r* associate-*l*
7×difference-of-squares
6×add-exp-log
4×associate-*r/ associate-*l/ add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 123
Calls
4 calls:
23.0ms
(* (cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))) (cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))))
8.0ms
(cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))
7.0ms
(cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))
7.0ms
(cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))

series675.0ms

Counts
4 → 12
Calls
4 calls:
234.0ms
(* (cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))) (cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))))
144.0ms
(cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))
149.0ms
(cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))
147.0ms
(cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))

simplify68.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
04433157
114913034
250022864

prune885.0ms

Filtered
135 candidates to 96 candidates (28.9%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1332135
Fresh022
Picked011
Done011
Total1336139

Merged error: 0.0b

Counts
139 → 6

localize26.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))
0.6b
(cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))
0.6b
(cbrt (cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))))
0.6b
(cbrt (* (cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))) (cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
80×cbrt-div
26×frac-sub
24×cbrt-prod
16×frac-times
14×add-sqr-sqrt *-un-lft-identity
13×flip3-- flip3-+ flip-- flip-+
8×add-cube-cbrt
4×pow1 add-exp-log pow1/3 associate-*r/ associate-*l/ add-cbrt-cube add-log-exp
3×distribute-lft-out-- difference-of-squares
Counts
4 → 87
Calls
4 calls:
8.0ms
(cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))
8.0ms
(cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))
8.0ms
(cbrt (cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))))
19.0ms
(cbrt (* (cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))) (cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))))

series703.0ms

Counts
4 → 12
Calls
4 calls:
153.0ms
(cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))
147.0ms
(cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))
151.0ms
(cbrt (cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))))
251.0ms
(cbrt (* (cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))) (cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))))

simplify124.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 3 (95.0ms)

IterNodesCost
04962685
112702593
244222567
350012561

prune1.1s

Filtered
99 candidates to 81 candidates (18.2%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New98199
Fresh033
Picked011
Done022
Total987105

Merged error: 0.0b

Counts
105 → 7

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))
0.6b
(cbrt (cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))))
0.6b
(cbrt (cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))))
0.6b
(cbrt (cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
44×cbrt-prod
28×cbrt-div
19×add-sqr-sqrt *-un-lft-identity
11×add-cube-cbrt
8×frac-sub
4×pow1 add-exp-log flip3-- flip3-+ pow1/3 add-cbrt-cube flip-- flip-+ distribute-lft-out-- add-log-exp difference-of-squares
Counts
4 → 77
Calls
4 calls:
8.0ms
(cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))
9.0ms
(cbrt (cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))))
8.0ms
(cbrt (cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))))
12.0ms
(cbrt (cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))))

series613.0ms

Counts
4 → 12
Calls
4 calls:
154.0ms
(cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))
152.0ms
(cbrt (cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))))
151.0ms
(cbrt (cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))))
155.0ms
(cbrt (cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))))

simplify95.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 3 (80.0ms)

IterNodesCost
03091536
19101462
234951438
350011430

prune791.0ms

Filtered
89 candidates to 81 candidates (9.0%)
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New89089
Fresh033
Picked011
Done033
Total89796

Merged error: 0.0b

Counts
96 → 7

regimes1.8s

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0228
1228

end0.0ms

sample1.5s

Algorithm
intervals
Results
597.0ms11979×body80valid

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