Details

Time bar (total: 7.9s)

sample48.0ms

Algorithm
intervals
Results
19.0ms364×body80valid

simplify53.0ms

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

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: 0.3b

Counts
2 → 1

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
20×add-log-exp
13×*-un-lft-identity
9×add-exp-log add-cbrt-cube
8×add-sqr-sqrt
6×add-cube-cbrt sum-log
4×pow1 diff-log
3×associate-+l+ flip3-+ times-frac associate-/r* flip-+
2×cbrt-undiv +-commutative sub-neg div-exp associate--l+ frac-sub distribute-lft-out distribute-lft-out--
1×associate-+l- flip3-- frac-2neg prod-exp clear-num flip-- cbrt-unprod div-inv associate-/l* difference-of-squares
Counts
4 → 69
Calls
4 calls:
21.0ms
(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
15.0ms
(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
6.0ms
(+ (* x y) (/ (* z t) 16.0))
5.0ms
(/ (* z t) 16.0)

series98.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
25.0ms
(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
19.0ms
(+ (* x y) (/ (* z t) 16.0))
7.0ms
(/ (* z t) 16.0)

simplify40.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0376628
11475597
25001590

prune128.0ms

Filtered
81 candidates to 60 candidates (25.9%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New78381
Fresh000
Picked101
Done000
Total79382

Merged error: 0b

Counts
82 → 3

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite22.0ms

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:
9.0ms
(+ (- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0)) c)
7.0ms
(- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0))
3.0ms
(+ (* x y) (* z (/ t 16.0)))

series91.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(+ (- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0)) c)
32.0ms
(- (+ (* x y) (* z (/ t 16.0))) (/ (* a b) 4.0))
11.0ms
(+ (* x y) (* z (/ t 16.0)))

simplify45.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0288548
11068527
25001520

prune89.0ms

Filtered
57 candidates to 43 candidates (24.6%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New57057
Fresh022
Picked011
Done000
Total57360

Merged error: 0b

Counts
60 → 3

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- (+ (* x y) (/ z (/ 16.0 t))) (/ (* a b) 4.0)) c)
0.0b
(- (+ (* x y) (/ z (/ 16.0 t))) (/ (* a b) 4.0))
0.0b
(+ (* x y) (/ z (/ 16.0 t)))
0.3b
(/ z (/ 16.0 t))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
53×*-un-lft-identity
48×add-sqr-sqrt
46×add-cube-cbrt
20×add-log-exp
13×associate-/r*
9×add-exp-log add-cbrt-cube
6×sum-log
5×div-inv
4×pow1 diff-log
3×cbrt-undiv associate-+l+ flip3-+ div-exp flip-+ associate-/l*
2×+-commutative sub-neg associate--l+ frac-sub distribute-lft-out distribute-lft-out--
1×associate-+l- flip3-- frac-2neg clear-num associate-/r/ flip-- difference-of-squares
Counts
4 → 118
Calls
4 calls:
27.0ms
(+ (- (+ (* x y) (/ z (/ 16.0 t))) (/ (* a b) 4.0)) c)
20.0ms
(- (+ (* x y) (/ z (/ 16.0 t))) (/ (* a b) 4.0))
10.0ms
(+ (* x y) (/ z (/ 16.0 t)))
6.0ms
(/ z (/ 16.0 t))

series111.0ms

Counts
4 → 12
Calls
4 calls:
63.0ms
(+ (- (+ (* x y) (/ z (/ 16.0 t))) (/ (* a b) 4.0)) c)
33.0ms
(- (+ (* x y) (/ z (/ 16.0 t))) (/ (* a b) 4.0))
11.0ms
(+ (* x y) (/ z (/ 16.0 t)))
4.0ms
(/ z (/ 16.0 t))

simplify62.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0589995
12266959
25001958

prune164.0ms

Filtered
130 candidates to 102 candidates (21.5%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1300130
Fresh011
Picked011
Done011
Total1303133

Merged error: 0b

Counts
133 → 3

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (* z t) 16.0)
0.3b
(* (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))
4.6b
(- (* (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))) (* c c))
37.7b
(/ (- (* (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))) (* c c)) (- (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c))

rewrite98.0ms

Algorithm
rewrite-expression-head
Rules
61×*-un-lft-identity
42×add-sqr-sqrt
27×times-frac
22×add-cube-cbrt
21×distribute-lft-out--
20×frac-sub
17×difference-of-squares
16×frac-times
13×add-exp-log flip3-- add-cbrt-cube flip--
11×pow1
10×flip3-+ associate--l+ flip-+
9×associate-/r*
7×swap-sqr
6×distribute-rgt-in distribute-lft-in add-log-exp
5×sub-neg associate-*r* associate-*l* associate-/l*
4×associate-*r/ associate-*l/
3×cbrt-undiv div-exp
2×frac-2neg prod-exp clear-num associate-/r/ cbrt-unprod div-inv associate-/l/
1×pow2 pow-plus diff-log div-sub pow-prod-down pow-sqr *-commutative pow-prod-up unswap-sqr
Counts
4 → 154
Calls
4 calls:
4.0ms
(/ (* z t) 16.0)
29.0ms
(* (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))
26.0ms
(- (* (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))) (* c c))
33.0ms
(/ (- (* (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))) (* c c)) (- (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c))

series2.8s

Counts
4 → 12
Calls
4 calls:
6.0ms
(/ (* z t) 16.0)
178.0ms
(* (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))
2.3s
(- (* (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))) (* c c))
339.0ms
(/ (- (* (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))) (* c c)) (- (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c))

simplify156.0ms

Algorithm
egg-herbie
Counts
166 → 166
Iterations

Useful iterations: 2 (113.0ms)

IterNodesCost
07874188
140653815
250023710

prune374.0ms

Filtered
166 candidates to 108 candidates (34.9%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1660166
Fresh000
Picked011
Done022
Total1663169

Merged error: 0b

Counts
169 → 3

regimes1.5s

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

sample1.8s

Algorithm
intervals
Results
806.0ms11898×body80valid

Profiling

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