Details

Time bar (total: 4.1s)

sample32.0ms

Algorithm
intervals
Results
15.0ms284×body80valid

simplify31.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0246
1466
2736
3996
41196
51456
61786
72536
83336
94676
104676

prune4.0ms

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
(/ (* y z) 2.0)
0.0b
(+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)
0.0b
(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
8×add-exp-log add-cbrt-cube
7×*-un-lft-identity
5×add-sqr-sqrt add-cube-cbrt
3×pow1 times-frac associate-/r*
2×cbrt-undiv sub-neg associate-+l+ diff-log div-exp sum-log
1×+-commutative associate-+l- flip3-- frac-2neg flip3-+ associate-*l/ prod-exp clear-num frac-sub flip-- cbrt-unprod flip-+ div-inv distribute-lft-out associate-/l*
Counts
3 → 50
Calls
3 calls:
4.0ms
(/ (* y z) 2.0)
8.0ms
(+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)
6.0ms
(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))

series119.0ms

Counts
3 → 9
Calls
3 calls:
16.0ms
(/ (* y z) 2.0)
52.0ms
(+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)
51.0ms
(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))

simplify33.0ms

Algorithm
egg-herbie
Counts
59 → 59
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0282355
11056330
25001330

prune275.0ms

Filtered
59 candidates to 43 candidates (72.9%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New58159
Fresh000
Picked011
Done000
Total58260

Merged error: 0.0b

Counts
60 → 2

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- (* (/ 1.0 8.0) x) (/ (/ (* y z) (sqrt 2.0)) (sqrt 2.0))) t)
0.0b
(- (* (/ 1.0 8.0) x) (/ (/ (* y z) (sqrt 2.0)) (sqrt 2.0)))
0.4b
(/ (/ (* y z) (sqrt 2.0)) (sqrt 2.0))
0.4b
(/ (* y z) (sqrt 2.0))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
108×times-frac
60×sqrt-prod
53×*-un-lft-identity
51×add-sqr-sqrt add-cube-cbrt
18×add-exp-log add-cbrt-cube
12×associate-/r*
11×associate-/l* add-log-exp
9×div-inv
7×cbrt-undiv div-exp
4×pow1
2×sub-neg associate-+l+ frac-2neg diff-log prod-exp clear-num sum-log cbrt-unprod
1×+-commutative associate-+l- flip3-- flip3-+ associate-*l/ frac-sub flip-- flip-+ associate-/l/ distribute-lft-out
Counts
4 → 149
Calls
4 calls:
17.0ms
(+ (- (* (/ 1.0 8.0) x) (/ (/ (* y z) (sqrt 2.0)) (sqrt 2.0))) t)
15.0ms
(- (* (/ 1.0 8.0) x) (/ (/ (* y z) (sqrt 2.0)) (sqrt 2.0)))
9.0ms
(/ (/ (* y z) (sqrt 2.0)) (sqrt 2.0))
5.0ms
(/ (* y z) (sqrt 2.0))

series550.0ms

Counts
4 → 12
Calls
4 calls:
185.0ms
(+ (- (* (/ 1.0 8.0) x) (/ (/ (* y z) (sqrt 2.0)) (sqrt 2.0))) t)
188.0ms
(- (* (/ 1.0 8.0) x) (/ (/ (* y z) (sqrt 2.0)) (sqrt 2.0)))
114.0ms
(/ (/ (* y z) (sqrt 2.0)) (sqrt 2.0))
63.0ms
(/ (* y z) (sqrt 2.0))

simplify64.0ms

Algorithm
egg-herbie
Counts
161 → 161
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
05521419
122861213
250011191

prune278.0ms

Filtered
161 candidates to 91 candidates (56.5%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1592161
Fresh000
Picked101
Done011
Total1603163

Merged error: 0b

Counts
163 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ y (sqrt (sqrt 2.0)))
0.2b
(/ z (sqrt (sqrt 2.0)))
0.3b
(* (/ y (sqrt (sqrt 2.0))) (/ z (sqrt (sqrt 2.0))))
0.4b
(/ (* (/ y (sqrt (sqrt 2.0))) (/ z (sqrt (sqrt 2.0)))) (sqrt 2.0))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
156×sqrt-prod
146×add-sqr-sqrt
138×times-frac
90×add-cube-cbrt *-un-lft-identity
38×add-exp-log add-cbrt-cube
31×associate-*r* associate-*l*
24×associate-/r*
16×unswap-sqr
15×cbrt-undiv div-exp
8×prod-exp cbrt-unprod
7×associate-/l*
6×pow1
5×div-inv
4×add-log-exp
3×frac-2neg clear-num associate-/l/
2×frac-times associate-*r/ associate-*l/
1×pow-prod-down *-commutative
Counts
4 → 236
Calls
4 calls:
5.0ms
(/ y (sqrt (sqrt 2.0)))
8.0ms
(/ z (sqrt (sqrt 2.0)))
26.0ms
(* (/ y (sqrt (sqrt 2.0))) (/ z (sqrt (sqrt 2.0))))
14.0ms
(/ (* (/ y (sqrt (sqrt 2.0))) (/ z (sqrt (sqrt 2.0)))) (sqrt 2.0))

series402.0ms

Counts
4 → 12
Calls
4 calls:
109.0ms
(/ y (sqrt (sqrt 2.0)))
101.0ms
(/ z (sqrt (sqrt 2.0)))
71.0ms
(* (/ y (sqrt (sqrt 2.0))) (/ z (sqrt (sqrt 2.0))))
121.0ms
(/ (* (/ y (sqrt (sqrt 2.0))) (/ z (sqrt (sqrt 2.0)))) (sqrt 2.0))

simplify89.0ms

Algorithm
egg-herbie
Counts
248 → 248
Iterations

Useful iterations: 2 (68.0ms)

IterNodesCost
06542261
134702031
250021856

prune538.0ms

Filtered
248 candidates to 141 candidates (56.9%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New2480248
Fresh011
Picked011
Done011
Total2483251

Merged error: 0b

Counts
251 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 8.0 (/ (* y z) (sqrt 2.0)))
0.4b
(/ (* y z) (sqrt 2.0))
0.5b
(/ (- (* (* 1.0 x) (sqrt 2.0)) (* 8.0 (/ (* y z) (sqrt 2.0)))) (* 8.0 (sqrt 2.0)))
0.5b
(* (* 1.0 x) (sqrt 2.0))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
28×add-exp-log add-cbrt-cube
18×add-sqr-sqrt
16×add-cube-cbrt *-un-lft-identity associate-*r*
15×times-frac
12×sqrt-prod
11×pow1
9×prod-exp cbrt-unprod
7×associate-/r*
6×cbrt-undiv div-exp
4×associate-*l* pow-prod-down associate-/l* add-log-exp
3×div-inv
2×frac-2neg clear-num *-commutative associate-/l/
1×flip3-- div-sub associate-*r/ flip-- unswap-sqr
Counts
4 → 102
Calls
4 calls:
8.0ms
(* 8.0 (/ (* y z) (sqrt 2.0)))
5.0ms
(/ (* y z) (sqrt 2.0))
10.0ms
(/ (- (* (* 1.0 x) (sqrt 2.0)) (* 8.0 (/ (* y z) (sqrt 2.0)))) (* 8.0 (sqrt 2.0)))
6.0ms
(* (* 1.0 x) (sqrt 2.0))

series467.0ms

Counts
4 → 12
Calls
4 calls:
75.0ms
(* 8.0 (/ (* y z) (sqrt 2.0)))
62.0ms
(/ (* y z) (sqrt 2.0))
279.0ms
(/ (- (* (* 1.0 x) (sqrt 2.0)) (* 8.0 (/ (* y z) (sqrt 2.0)))) (* 8.0 (sqrt 2.0)))
50.0ms
(* (* 1.0 x) (sqrt 2.0))

simplify77.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
0489832
12792699
25001679

prune231.0ms

Filtered
114 candidates to 74 candidates (64.9%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1140114
Fresh000
Picked011
Done022
Total1143117

Merged error: 0b

Counts
117 → 3

regimes180.0ms

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 (0.0ms)

IterNodesCost
0166
1166

end0.0ms

sample543.0ms

Algorithm
intervals
Results
305.0ms9130×body80valid
0.0ms2×body2560valid