Details

Time bar (total: 5.8s)

sample71.0ms

Algorithm
intervals
Results
27.0ms402×body80valid

simplify54.0ms

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: 0.0b

Counts
2 → 1

localize13.0ms

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

rewrite25.0ms

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:
8.0ms
(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
11.0ms
(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
5.0ms
(+ (* x y) (/ (* z t) 16.0))

series80.0ms

Counts
3 → 9
Calls
3 calls:
24.0ms
(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
45.0ms
(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
11.0ms
(+ (* x y) (/ (* z t) 16.0))

simplify117.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0282548
11017527
24883513
35001513

prune88.0ms

Filtered
43 candidates to 57 candidates (-32.6%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New54357
Fresh000
Picked011
Done000
Total54458

Merged error: 0.0b

Counts
58 → 4

localize22.0ms

Local error

Found 4 expressions with local error:

0.9b
(+ (pow (* x y) 3) (pow (/ (* z t) 16.0) 3))
1.2b
(+ (* (/ (* z t) 16.0) (- (/ (* z t) 16.0) (* x y))) (* (* x y) (* x y)))
1.9b
(* (/ (* z t) 16.0) (- (/ (* z t) 16.0) (* x y)))
33.9b
(/ (+ (pow (* x y) 3) (pow (/ (* z t) 16.0) 3)) (+ (* (/ (* z t) 16.0) (- (/ (* z t) 16.0) (* x y))) (* (* x y) (* x y))))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
27×*-un-lft-identity
19×add-sqr-sqrt
18×times-frac
17×add-cube-cbrt
15×add-exp-log add-cbrt-cube
8×add-log-exp
7×associate-*l*
6×pow1
5×sum-cubes distribute-lft-out associate-/l*
4×distribute-rgt-in sub-neg associate-+l+ distribute-lft-in flip3-+ prod-exp cbrt-unprod flip-+
3×cbrt-undiv div-exp associate-*r* associate-/r*
2×+-commutative frac-times flip3-- associate-*r/ sum-log associate-/r/ flip-- div-inv associate-/l/
1×frac-2neg pow-prod-down associate-*l/ clear-num *-commutative unswap-sqr
Counts
4 → 102
Calls
4 calls:
11.0ms
(+ (pow (* x y) 3) (pow (/ (* z t) 16.0) 3))
11.0ms
(+ (* (/ (* z t) 16.0) (- (/ (* z t) 16.0) (* x y))) (* (* x y) (* x y)))
11.0ms
(* (/ (* z t) 16.0) (- (/ (* z t) 16.0) (* x y)))
27.0ms
(/ (+ (pow (* x y) 3) (pow (/ (* z t) 16.0) 3)) (+ (* (/ (* z t) 16.0) (- (/ (* z t) 16.0) (* x y))) (* (* x y) (* x y))))

series151.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(+ (pow (* x y) 3) (pow (/ (* z t) 16.0) 3))
30.0ms
(+ (* (/ (* z t) 16.0) (- (/ (* z t) 16.0) (* x y))) (* (* x y) (* x y)))
18.0ms
(* (/ (* z t) 16.0) (- (/ (* z t) 16.0) (* x y)))
55.0ms
(/ (+ (pow (* x y) 3) (pow (/ (* z t) 16.0) 3)) (+ (* (/ (* z t) 16.0) (- (/ (* z t) 16.0) (* x y))) (* (* x y) (* x y))))

simplify122.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (105.0ms)

IterNodesCost
05691927
131861763
250021756

prune251.0ms

Filtered
83 candidates to 114 candidates (-37.3%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1131114
Fresh022
Picked011
Done011
Total1135118

Merged error: 0.0b

Counts
118 → 5

localize22.0ms

Local error

Found 4 expressions with local error:

1.9b
(* (/ (* z t) 16.0) (- (/ (* z t) 16.0) (* x y)))
1.9b
(* (/ (* z t) 16.0) (- (/ (* z t) 16.0) (* x y)))
21.5b
(/ (+ (* x y) (/ (* z t) 16.0)) (+ (* (/ (* z t) 16.0) (- (/ (* z t) 16.0) (* x y))) (* (* x y) (* x y))))
21.8b
(* (+ (* (/ (* z t) 16.0) (- (/ (* z t) 16.0) (* x y))) (* (* x y) (* x y))) (/ (+ (* x y) (/ (* z t) 16.0)) (+ (* (/ (* z t) 16.0) (- (/ (* z t) 16.0) (* x y))) (* (* x y) (* x y)))))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
35×add-sqr-sqrt
29×add-exp-log add-cbrt-cube
26×add-cube-cbrt *-un-lft-identity
25×times-frac
21×associate-*r*
17×associate-*l*
10×pow1 prod-exp cbrt-unprod
6×cbrt-undiv frac-times div-exp
5×flip3-+ associate-*r/ flip-+
4×distribute-rgt-in sub-neg flip3-- distribute-lft-in associate-*l/ associate-/r/ flip-- div-inv add-log-exp unswap-sqr
3×pow-prod-down associate-/r* *-commutative associate-/l*
2×associate-/l/
1×frac-2neg clear-num
Counts
4 → 139
Calls
4 calls:
11.0ms
(* (/ (* z t) 16.0) (- (/ (* z t) 16.0) (* x y)))
11.0ms
(* (/ (* z t) 16.0) (- (/ (* z t) 16.0) (* x y)))
17.0ms
(/ (+ (* x y) (/ (* z t) 16.0)) (+ (* (/ (* z t) 16.0) (- (/ (* z t) 16.0) (* x y))) (* (* x y) (* x y))))
29.0ms
(* (+ (* (/ (* z t) 16.0) (- (/ (* z t) 16.0) (* x y))) (* (* x y) (* x y))) (/ (+ (* x y) (/ (* z t) 16.0)) (+ (* (/ (* z t) 16.0) (- (/ (* z t) 16.0) (* x y))) (* (* x y) (* x y)))))

series84.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(* (/ (* z t) 16.0) (- (/ (* z t) 16.0) (* x y)))
18.0ms
(* (/ (* z t) 16.0) (- (/ (* z t) 16.0) (* x y)))
36.0ms
(/ (+ (* x y) (/ (* z t) 16.0)) (+ (* (/ (* z t) 16.0) (- (/ (* z t) 16.0) (* x y))) (* (* x y) (* x y))))
12.0ms
(* (+ (* (/ (* z t) 16.0) (- (/ (* z t) 16.0) (* x y))) (* (* x y) (* x y))) (/ (+ (* x y) (/ (* z t) 16.0)) (+ (* (/ (* z t) 16.0) (- (/ (* z t) 16.0) (* x y))) (* (* x y) (* x y)))))

simplify143.0ms

Algorithm
egg-herbie
Counts
151 → 151
Iterations

Useful iterations: 2 (117.0ms)

IterNodesCost
06132934
138912610
250032605

prune302.0ms

Filtered
109 candidates to 151 candidates (-38.5%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1510151
Fresh022
Picked011
Done022
Total1515156

Merged error: 0.0b

Counts
156 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
68×*-un-lft-identity
48×sqrt-prod
28×add-sqr-sqrt
21×pow1
20×distribute-lft-out
16×sqrt-div swap-sqr
14×add-cube-cbrt
10×sqrt-pow1 pow1/2 distribute-lft-out--
9×flip3-+ flip-+
8×associate-*r* associate-*l*
6×add-exp-log add-cbrt-cube add-log-exp
5×pow-prod-up
4×frac-times unswap-sqr
3×pow-prod-down pow-sqr
2×rem-sqrt-square associate-*r/ associate-*l/
1×+-commutative pow2 pow-plus sqrt-unprod prod-exp sum-log rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 114
Calls
4 calls:
5.0ms
(+ (* x y) (/ (* z t) 16.0))
10.0ms
(sqrt (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c))
12.0ms
(sqrt (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c))
26.0ms
(* (sqrt (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)) (sqrt (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)))

series972.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(+ (* x y) (/ (* z t) 16.0))
442.0ms
(sqrt (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c))
475.0ms
(sqrt (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c))
43.0ms
(* (sqrt (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)) (sqrt (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)))

simplify60.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
03701733
115911573
250021532

prune166.0ms

Filtered
68 candidates to 126 candidates (-85.3%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1251126
Fresh011
Picked101
Done033
Total1265131

Merged error: 0.0b

Counts
131 → 5

regimes1.4s

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

sample1.4s

Algorithm
intervals
Results
625.0ms11885×body80valid

Profiling

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