Details

Time bar (total: 18.2s)

sample39.0ms

Algorithm
intervals
Results
19.0ms388×body80valid

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

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: 0.0b

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

rewrite26.0ms

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:
5.0ms
(+ (* x y) (/ (* z t) 16.0))
9.0ms
(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
11.0ms
(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)

series263.0ms

Counts
3 → 9
Calls
3 calls:
44.0ms
(+ (* x y) (/ (* z t) 16.0))
82.0ms
(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
137.0ms
(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)

simplify110.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0282548
11017527
24883513
35001513

prune157.0ms

Filtered
57 candidates to 43 candidates (75.4%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New56157
Fresh000
Picked011
Done000
Total56258

Merged error: 0.0b

Counts
58 → 2

localize161.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
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))
35.3b
(/ (- (* (- (+ (* 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
64×*-un-lft-identity
42×add-sqr-sqrt
24×times-frac distribute-lft-out--
20×add-cube-cbrt frac-sub
18×difference-of-squares
16×frac-times
15×add-log-exp
14×flip3-- associate--l+ flip--
11×pow1
10×flip3-+ flip-+
8×add-exp-log add-cbrt-cube
7×sub-neg swap-sqr
6×distribute-rgt-in distribute-lft-in diff-log associate-/r*
5×associate-*r* associate-*l*
4×associate-*r/ associate-*l/ associate-/l*
2×associate-/r/ associate-/l/
1×cbrt-undiv associate--l- pow2 frac-2neg pow-plus div-sub div-exp pow-prod-down prod-exp clear-num sum-log pow-sqr *-commutative pow-prod-up cbrt-unprod div-inv unswap-sqr
Counts
4 → 154
Calls
4 calls:
12.0ms
(- (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
24.0ms
(* (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))
21.0ms
(- (* (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))) (* c c))
35.0ms
(/ (- (* (- (+ (* 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))

series4.8s

Counts
4 → 12
Calls
4 calls:
154.0ms
(- (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
559.0ms
(* (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))
3.5s
(- (* (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))) (* c c))
624.0ms
(/ (- (* (- (+ (* 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))

simplify126.0ms

Algorithm
egg-herbie
Counts
166 → 166
Iterations

Useful iterations: 2 (85.0ms)

IterNodesCost
07264354
136463974
250033869

prune508.0ms

Filtered
166 candidates to 107 candidates (64.5%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1651166
Fresh000
Picked011
Done011
Total1653168

Merged error: 0.0b

Counts
168 → 3

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite187.0ms

Algorithm
rewrite-expression-head
Rules
408×*-un-lft-identity
212×add-sqr-sqrt
210×times-frac
156×sqrt-prod
151×distribute-lft-out--
93×add-cube-cbrt
60×associate-*r*
51×associate-*l*
44×difference-of-squares
38×distribute-lft-out
20×add-exp-log add-cbrt-cube
18×associate-/r*
11×associate-/l*
10×pow1 sqrt-div
9×unswap-sqr
8×associate-/r/
6×cbrt-undiv flip3-- div-exp flip--
4×prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp
2×frac-2neg sqrt-pow1 pow1/2 div-sub clear-num pow-div
1×frac-times associate-+l- rem-sqrt-square flip3-+ associate-*r/ pow-prod-down associate-*l/ *-commutative flip-+
Counts
4 → 322
Calls
4 calls:
12.0ms
(sqrt (- (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c))
96.0ms
(* (/ (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c) (sqrt (- (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c))) (/ (- (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c) (sqrt (- (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c))))
27.0ms
(/ (- (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c) (sqrt (- (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)))
30.0ms
(/ (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c) (sqrt (- (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)))

series9.2s

Counts
4 → 12
Calls
4 calls:
1.4s
(sqrt (- (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c))
181.0ms
(* (/ (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c) (sqrt (- (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c))) (/ (- (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c) (sqrt (- (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c))))
1.4s
(/ (- (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c) (sqrt (- (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)))
6.2s
(/ (+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c) (sqrt (- (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)))

simplify177.0ms

Algorithm
egg-herbie
Counts
334 → 334
Iterations

Useful iterations: 2 (96.0ms)

IterNodesCost
090510798
146008398
250018252

prune704.0ms

Filtered
334 candidates to 161 candidates (48.2%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New3340334
Fresh000
Picked011
Done022
Total3343337

Merged error: 0.0b

Counts
337 → 3

regimes375.0ms

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

sample1.1s

Algorithm
intervals
Results
634.0ms11923×body80valid