Details

Time bar (total: 8.1s)

analyze1.5s

Algorithm
search

sample251.0ms

Algorithm
intervals
Results
221.0ms256×body80valid
8.0ms147×body80invalid

simplify52.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.3b

Counts
2 → 1

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
0.0b
(+ (* x y) (/ (* z t) 16.0))
0.2b
(/ (* a b) 4.0)

rewrite19.0ms

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:
8.0ms
(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
5.0ms
(+ (* x y) (/ (* z t) 16.0))
4.0ms
(/ (* a b) 4.0)

series43.0ms

Counts
3 → 9
Calls
3 calls:
28.0ms
(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
11.0ms
(+ (* x y) (/ (* z t) 16.0))
4.0ms
(/ (* a b) 4.0)

simplify33.0ms

Algorithm
egg-herbie
Counts
59 → 59
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0301419
11260392
25002385

prune90.0ms

Filtered
45 candidates to 59 candidates (-31.1%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New56359
Fresh000
Picked101
Done000
Total57360

Merged error: 0.0b

Counts
60 → 3

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
9×add-log-exp
2×pow1 add-exp-log add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ diff-log associate-*r/ sum-log frac-sub add-cbrt-cube flip-+
1×+-commutative sub-neg flip3-- associate--l+ flip--
Counts
2 → 27
Calls
2 calls:
7.0ms
(- (+ (* x y) (/ (* z t) 16.0)) (* a (/ b 4.0)))
5.0ms
(+ (* x y) (/ (* z t) 16.0))

series35.0ms

Counts
2 → 6
Calls
2 calls:
24.0ms
(- (+ (* x y) (/ (* z t) 16.0)) (* a (/ b 4.0)))
11.0ms
(+ (* x y) (/ (* z t) 16.0))

simplify88.0ms

Algorithm
egg-herbie
Counts
33 → 33
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
0211314
1815297
23750290
35002290

prune53.0ms

Filtered
27 candidates to 33 candidates (-22.2%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New33033
Fresh022
Picked011
Done000
Total33336

Merged error: 0.0b

Counts
36 → 3

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (+ (* x y) (/ (* z t) 16.0)) (+ (* x y) (/ (* z t) 16.0)))
0.2b
(* (/ (* a b) 4.0) (/ (* a b) 4.0))
3.1b
(- (* (+ (* x y) (/ (* z t) 16.0)) (+ (* x y) (/ (* z t) 16.0))) (* (/ (* a b) 4.0) (/ (* a b) 4.0)))
30.5b
(/ (- (* (+ (* x y) (/ (* z t) 16.0)) (+ (* x y) (/ (* z t) 16.0))) (* (/ (* a b) 4.0) (/ (* a b) 4.0))) (+ (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
48×frac-sub
45×frac-times
44×add-exp-log flip3-+ add-cbrt-cube flip-+
36×*-un-lft-identity
31×associate-*r/ associate-*l/
30×add-sqr-sqrt
28×times-frac
26×add-cube-cbrt associate-/l/
18×pow1
16×prod-exp cbrt-unprod
13×cbrt-undiv div-exp
10×swap-sqr associate-*r* associate-*l*
6×add-log-exp difference-of-squares
5×div-inv distribute-lft-out
4×associate-/r* associate-/r/ associate-/l*
2×pow2 distribute-rgt-in flip3-- distribute-lft-in pow-plus pow-prod-down frac-add associate--l+ pow-sqr *-commutative pow-prod-up flip-- unswap-sqr
1×sub-neg frac-2neg diff-log div-sub clear-num
Counts
4 → 197
Calls
4 calls:
11.0ms
(* (+ (* x y) (/ (* z t) 16.0)) (+ (* x y) (/ (* z t) 16.0)))
9.0ms
(* (/ (* a b) 4.0) (/ (* a b) 4.0))
12.0ms
(- (* (+ (* x y) (/ (* z t) 16.0)) (+ (* x y) (/ (* z t) 16.0))) (* (/ (* a b) 4.0) (/ (* a b) 4.0)))
23.0ms
(/ (- (* (+ (* x y) (/ (* z t) 16.0)) (+ (* x y) (/ (* z t) 16.0))) (* (/ (* a b) 4.0) (/ (* a b) 4.0))) (+ (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))

series284.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(* (+ (* x y) (/ (* z t) 16.0)) (+ (* x y) (/ (* z t) 16.0)))
8.0ms
(* (/ (* a b) 4.0) (/ (* a b) 4.0))
167.0ms
(- (* (+ (* x y) (/ (* z t) 16.0)) (+ (* x y) (/ (* z t) 16.0))) (* (/ (* a b) 4.0) (/ (* a b) 4.0)))
92.0ms
(/ (- (* (+ (* x y) (/ (* z t) 16.0)) (+ (* x y) (/ (* z t) 16.0))) (* (/ (* a b) 4.0) (/ (* a b) 4.0))) (+ (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))

simplify66.0ms

Algorithm
egg-herbie
Counts
209 → 209
Iterations

Useful iterations: 1 (25.0ms)

IterNodesCost
010994349
150024013

prune411.0ms

Filtered
135 candidates to 209 candidates (-54.8%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New2063209
Fresh011
Picked101
Done011
Total2075212

Merged error: 0b

Counts
212 → 5

localize21.0ms

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)))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
52×cbrt-div
36×cbrt-prod
35×*-un-lft-identity
26×flip3-+ frac-add flip-+
23×add-sqr-sqrt
16×frac-times
15×add-cube-cbrt
11×pow1
9×pow1/3 swap-sqr distribute-lft-out
7×associate-*r* associate-*l*
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 → 117
Calls
4 calls:
22.0ms
(* (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)))

series289.0ms

Counts
4 → 12
Calls
4 calls:
111.0ms
(* (cbrt (+ (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))) (cbrt (+ (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))))
60.0ms
(cbrt (+ (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))
60.0ms
(cbrt (+ (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))
57.0ms
(cbrt (+ (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))

simplify61.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
04263030
114442909
250012745

prune416.0ms

Filtered
90 candidates to 129 candidates (-43.3%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1290129
Fresh033
Picked011
Done011
Total1295134

Merged error: 0b

Counts
134 → 5

regimes1.6s

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0228
1228

end0.0ms

analyze1.5s

Algorithm
search

sample1.2s

Algorithm
intervals
Results
473.0ms8000×body80valid
235.0ms3856×body80invalid

Profiling

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