Details

Time bar (total: 6.3s)

sample112.0ms

Algorithm
intervals
Results
31.0ms539×body80nan
31.0ms579×body80valid

simplify37.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
0542117

prune12.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.3b

Counts
2 → 2

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (* t t) 2.0)
0.0b
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
0.3b
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
15×add-cbrt-cube
13×add-exp-log
10×pow1 add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
7×associate-*r*
6×associate-*l/
5×prod-exp cbrt-unprod
4×associate-*l* pow-prod-down
3×times-frac associate-/r* add-log-exp
2×cbrt-undiv flip3-- div-exp *-commutative flip--
1×frac-2neg clear-num sqrt-prod div-inv associate-/l* unswap-sqr
Counts
3 → 62
Calls
3 calls:
4.0ms
(/ (* t t) 2.0)
14.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
8.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series57.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(/ (* t t) 2.0)
41.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
14.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify42.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
04975861
14975861

prune161.0ms

Filtered
52 candidates to 71 candidates (-36.5%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New611071
Fresh101
Picked101
Done000
Total631073

Merged error: 0.0b

Counts
73 → 10

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (* t t) 2.0)
0.0b
(* (* (- (* x 0.5) y) (* (sqrt (* z 2.0)) (sqrt (pow (exp (/ t 2.0)) t)))) (sqrt (exp (/ (* t t) 2.0))))
0.0b
(* (sqrt (* z 2.0)) (sqrt (pow (exp (/ t 2.0)) t)))
0.3b
(* (- (* x 0.5) y) (* (sqrt (* z 2.0)) (sqrt (pow (exp (/ t 2.0)) t))))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log add-cbrt-cube
20×pow1 add-sqr-sqrt
17×associate-*r*
14×sqrt-prod
13×add-cube-cbrt *-un-lft-identity
11×pow-prod-down prod-exp cbrt-unprod
8×associate-*l*
6×associate-*l/
4×unpow-prod-down add-log-exp unswap-sqr
3×times-frac associate-/r* *-commutative
2×cbrt-undiv flip3-- pow1/2 div-exp flip-- sqr-pow
1×frac-2neg sqrt-unprod clear-num div-inv associate-/l*
Counts
4 → 98
Calls
4 calls:
4.0ms
(/ (* t t) 2.0)
21.0ms
(* (* (- (* x 0.5) y) (* (sqrt (* z 2.0)) (sqrt (pow (exp (/ t 2.0)) t)))) (sqrt (exp (/ (* t t) 2.0))))
10.0ms
(* (sqrt (* z 2.0)) (sqrt (pow (exp (/ t 2.0)) t)))
13.0ms
(* (- (* x 0.5) y) (* (sqrt (* z 2.0)) (sqrt (pow (exp (/ t 2.0)) t))))

series154.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(/ (* t t) 2.0)
68.0ms
(* (* (- (* x 0.5) y) (* (sqrt (* z 2.0)) (sqrt (pow (exp (/ t 2.0)) t)))) (sqrt (exp (/ (* t t) 2.0))))
26.0ms
(* (sqrt (* z 2.0)) (sqrt (pow (exp (/ t 2.0)) t)))
57.0ms
(* (- (* x 0.5) y) (* (sqrt (* z 2.0)) (sqrt (pow (exp (/ t 2.0)) t))))

simplify59.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
049781704
149781704

prune283.0ms

Filtered
76 candidates to 110 candidates (-44.7%)
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New1073110
Fresh189
Picked011
Done000
Total10812120

Merged error: 0.0b

Counts
120 → 12

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (* t t) 2.0)
0.0b
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
0.3b
(* (- (* x 0.5) y) (sqrt z))
0.4b
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
25×add-cbrt-cube
22×add-exp-log
20×pow1
16×add-sqr-sqrt
15×associate-*r*
12×add-cube-cbrt *-un-lft-identity associate-*l/
11×prod-exp cbrt-unprod
10×pow-prod-down
7×sqrt-prod
5×associate-*l*
4×add-log-exp
3×flip3-- times-frac associate-/r* *-commutative flip--
2×cbrt-undiv div-exp unswap-sqr
1×frac-2neg clear-num div-inv associate-/l*
Counts
4 → 91
Calls
4 calls:
4.0ms
(/ (* t t) 2.0)
14.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
7.0ms
(* (- (* x 0.5) y) (sqrt z))
10.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series74.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(/ (* t t) 2.0)
45.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
10.0ms
(* (- (* x 0.5) y) (sqrt z))
16.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify51.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
049811257
149811257

prune182.0ms

Filtered
71 candidates to 103 candidates (-45.1%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1012103
Fresh5510
Picked011
Done101
Total1078115

Merged error: 0b

Counts
115 → 8

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (* (* (- (* x 0.5) y) (* (sqrt z) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (cbrt (sqrt 2.0))) (exp (/ (* t t) 2.0)))
0.3b
(* (- (* x 0.5) y) (* (sqrt z) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
0.3b
(* (sqrt z) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
0.3b
(* (* (- (* x 0.5) y) (* (sqrt z) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (cbrt (sqrt 2.0)))

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
52×pow1
47×add-exp-log
36×add-cbrt-cube
34×pow-prod-down prod-exp cbrt-unprod
14×associate-*r*
13×add-sqr-sqrt
12×associate-*l/
11×add-cube-cbrt *-un-lft-identity associate-*l*
7×sqrt-prod
6×cbrt-prod
4×*-commutative add-log-exp
3×flip3-- flip--
2×unswap-sqr
Counts
4 → 107
Calls
4 calls:
24.0ms
(* (* (* (- (* x 0.5) y) (* (sqrt z) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (cbrt (sqrt 2.0))) (exp (/ (* t t) 2.0)))
16.0ms
(* (- (* x 0.5) y) (* (sqrt z) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
10.0ms
(* (sqrt z) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
18.0ms
(* (* (- (* x 0.5) y) (* (sqrt z) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (cbrt (sqrt 2.0)))

series117.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(* (* (* (- (* x 0.5) y) (* (sqrt z) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (cbrt (sqrt 2.0))) (exp (/ (* t t) 2.0)))
42.0ms
(* (- (* x 0.5) y) (* (sqrt z) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))))
14.0ms
(* (sqrt z) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
16.0ms
(* (* (- (* x 0.5) y) (* (sqrt z) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (cbrt (sqrt 2.0)))

simplify62.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
050071831

prune199.0ms

Filtered
71 candidates to 119 candidates (-67.6%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1181119
Fresh156
Picked011
Done011
Total1198127

Merged error: 0b

Counts
127 → 8

regimes994.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02018
12018

end0.0ms

sample3.5s

Algorithm
intervals
Results
994.0ms17968×body80valid
992.0ms18059×body80nan

Profiling

Loading profile data...