Details

Time bar (total: 4.5s)

sample39.0ms

Algorithm
intervals
Results
18.0ms385×body80valid

simplify66.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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

prune4.0ms

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: 0.3b

Counts
2 → 1

localize15.0ms

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))
0.2b
(/ (* z t) 16.0)

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
8×add-exp-log add-cbrt-cube
7×add-sqr-sqrt *-un-lft-identity
5×add-cube-cbrt
3×pow1 times-frac associate-/r*
2×cbrt-undiv flip3-+ diff-log div-exp sum-log frac-sub flip-+
1×+-commutative sub-neg flip3-- frac-2neg prod-exp associate--l+ clear-num flip-- cbrt-unprod div-inv associate-/l* distribute-lft-out-- difference-of-squares
Counts
3 → 50
Calls
3 calls:
5.0ms
(+ (* x y) (/ (* z t) 16.0))
15.0ms
(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
5.0ms
(/ (* z t) 16.0)

series162.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(+ (* x y) (/ (* z t) 16.0))
96.0ms
(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
20.0ms
(/ (* z t) 16.0)

simplify44.0ms

Algorithm
egg-herbie
Counts
59 → 59
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0303419
11236392
25001385

prune187.0ms

Filtered
59 candidates to 45 candidates (76.3%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New55459
Fresh000
Picked101
Done000
Total56460

Merged error: 0.0b

Counts
60 → 4

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
9×add-log-exp
4×add-sqr-sqrt *-un-lft-identity
2×pow1 add-exp-log add-cube-cbrt flip3-+ diff-log sum-log frac-sub add-cbrt-cube flip-+
1×+-commutative sub-neg flip3-- associate--l+ flip-- distribute-lft-out-- difference-of-squares
Counts
2 → 29
Calls
2 calls:
4.0ms
(+ (* x y) (* z (/ t 16.0)))
8.0ms
(- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0))

series142.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(+ (* x y) (* z (/ t 16.0)))
91.0ms
(- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0))

simplify112.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0215339
1829322
23757315
35001315

prune106.0ms

Filtered
35 candidates to 27 candidates (77.1%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New35035
Fresh033
Picked011
Done000
Total35439

Merged error: 0.0b

Counts
39 → 4

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x y) (/ 1 (/ 16.0 (* z t))))
0.0b
(- (+ (* x y) (/ 1 (/ 16.0 (* z t)))) (/ (* a b) 4.0))
0.5b
(/ 16.0 (* z t))
0.8b
(/ 1 (/ 16.0 (* z t)))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
30×add-exp-log
24×add-sqr-sqrt *-un-lft-identity
22×add-cube-cbrt
18×add-cbrt-cube
14×div-exp
11×add-log-exp
8×associate-/r*
7×cbrt-undiv
6×div-inv associate-/l*
5×pow1
4×prod-exp
3×rec-exp 1-exp
2×frac-2neg flip3-+ diff-log clear-num sum-log frac-sub cbrt-unprod flip-+
1×+-commutative sub-neg flip3-- pow-flip associate--l+ associate-/r/ flip-- distribute-lft-out-- inv-pow difference-of-squares
Counts
4 → 106
Calls
4 calls:
8.0ms
(+ (* x y) (/ 1 (/ 16.0 (* z t))))
13.0ms
(- (+ (* x y) (/ 1 (/ 16.0 (* z t)))) (/ (* a b) 4.0))
5.0ms
(/ 16.0 (* z t))
7.0ms
(/ 1 (/ 16.0 (* z t)))

series182.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(+ (* x y) (/ 1 (/ 16.0 (* z t))))
92.0ms
(- (+ (* x y) (/ 1 (/ 16.0 (* z t)))) (/ (* a b) 4.0))
20.0ms
(/ 16.0 (* z t))
20.0ms
(/ 1 (/ 16.0 (* z t)))

simplify62.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0462787
12037674
25001670

prune269.0ms

Filtered
118 candidates to 68 candidates (57.6%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1180118
Fresh022
Picked011
Done011
Total1184122

Merged error: 0.0b

Counts
122 → 4

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))) (cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))))
0.8b
(cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))
0.8b
(cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))
0.8b
(cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))

rewrite59.0ms

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:
28.0ms
(* (cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))) (cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))))
9.0ms
(cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))
8.0ms
(cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))
9.0ms
(cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))

series773.0ms

Counts
4 → 12
Calls
4 calls:
277.0ms
(* (cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))) (cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))))
163.0ms
(cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))
170.0ms
(cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))
163.0ms
(cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))

simplify74.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
04443157
114913034
250012864

prune541.0ms

Filtered
135 candidates to 96 candidates (71.1%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1350135
Fresh011
Picked011
Done022
Total1354139

Merged error: 0.0b

Counts
139 → 4

regimes502.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0228
1228

end0.0ms

sample1.1s

Algorithm
intervals
Results
597.0ms11909×body80valid