Details

Time bar (total: 5.1s)

sample43.0ms

Algorithm
intervals
Results
22.0ms384×body80valid

simplify61.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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

prune3.0ms

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

localize14.0ms

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)

rewrite20.0ms

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))
9.0ms
(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
5.0ms
(/ (* z t) 16.0)

series147.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(+ (* x y) (/ (* z t) 16.0))
84.0ms
(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
22.0ms
(/ (* z t) 16.0)

simplify37.0ms

Algorithm
egg-herbie
Counts
59 → 59
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0303419
11236392
25001385

prune155.0ms

Filtered
59 candidates to 45 candidates (76.3%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New56359
Fresh000
Picked101
Done000
Total57360

Merged error: 0b

Counts
60 → 3

localize14.0ms

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))
0.0b
(* z (/ t 16.0))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
13×*-un-lft-identity associate-*r*
11×add-cube-cbrt
10×times-frac add-log-exp
8×add-exp-log add-cbrt-cube
5×pow1
3×associate-*l*
2×flip3-+ diff-log prod-exp sum-log frac-sub cbrt-unprod flip-+ unswap-sqr
1×cbrt-undiv +-commutative sub-neg flip3-- associate-*r/ div-exp pow-prod-down associate--l+ *-commutative flip-- div-inv distribute-lft-out-- difference-of-squares
Counts
3 → 61
Calls
3 calls:
4.0ms
(+ (* x y) (* z (/ t 16.0)))
7.0ms
(- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0))
7.0ms
(* z (/ t 16.0))

series147.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(+ (* x y) (* z (/ t 16.0)))
84.0ms
(- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0))
17.0ms
(* z (/ t 16.0))

simplify45.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0356467
11481440
25001433

prune173.0ms

Filtered
70 candidates to 53 candidates (75.7%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New70070
Fresh022
Picked011
Done000
Total70373

Merged error: 0b

Counts
73 → 3

localize19.0ms

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

rewrite53.0ms

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:
24.0ms
(* (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)))
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)))

series666.0ms

Counts
4 → 12
Calls
4 calls:
233.0ms
(* (cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))) (cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))))
142.0ms
(cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))
148.0ms
(cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))
142.0ms
(cbrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))

simplify63.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
04433157
114913034
250022864

prune526.0ms

Filtered
135 candidates to 96 candidates (71.1%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1350135
Fresh011
Picked011
Done011
Total1353138

Merged error: 0b

Counts
138 → 3

localize26.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))
0.2b
(/ (* z t) 16.0)
0.2b
(/ (* z t) 16.0)
0.2b
(* (sqrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))) (sqrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
44×sqrt-div
40×add-sqr-sqrt
35×sqrt-prod
33×*-un-lft-identity
22×frac-sub
20×pow1
17×add-cube-cbrt
16×add-exp-log frac-times add-cbrt-cube
12×swap-sqr
11×flip3-- flip3-+ flip-- flip-+
9×sqrt-pow1 pow1/2
8×associate-*r* associate-*l*
7×distribute-lft-out--
6×times-frac associate-/r*
5×pow-prod-up difference-of-squares
4×cbrt-undiv associate-*r/ div-exp associate-*l/ add-log-exp unswap-sqr
3×pow-prod-down prod-exp pow-sqr cbrt-unprod
2×frac-2neg clear-num div-inv associate-/l*
1×pow2 rem-sqrt-square pow-plus sqrt-unprod rem-square-sqrt *-commutative
Counts
4 → 142
Calls
4 calls:
8.0ms
(sqrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))
11.0ms
(/ (* z t) 16.0)
8.0ms
(/ (* z t) 16.0)
37.0ms
(* (sqrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))) (sqrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))))

series690.0ms

Counts
4 → 12
Calls
4 calls:
556.0ms
(sqrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))
27.0ms
(/ (* z t) 16.0)
22.0ms
(/ (* z t) 16.0)
85.0ms
(* (sqrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))) (sqrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))))

simplify76.0ms

Algorithm
egg-herbie
Counts
154 → 154
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
04852280
121482129
250012093

prune394.0ms

Filtered
154 candidates to 90 candidates (58.4%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1540154
Fresh000
Picked011
Done022
Total1543157

Merged error: 0b

Counts
157 → 3

regimes417.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0228
1228

end0.0ms

sample1.3s

Algorithm
intervals
Results
756.0ms11943×body80valid

Profiling

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