Details

Time bar (total: 6.8s)

sample85.0ms

Algorithm
intervals
Results
27.0ms570×body80nan
24.0ms563×body80valid

simplify82.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0259
1419
2889
31659
42879
56259
620149
750029

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize17.0ms

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)))

rewrite56.0ms

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:
3.0ms
(/ (* t t) 2.0)
37.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
14.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series284.0ms

Counts
3 → 9
Calls
3 calls:
24.0ms
(/ (* t t) 2.0)
157.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
103.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify45.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0416543
11735457
25001454

prune205.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite65.0ms

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-*l*
5×prod-exp cbrt-unprod
4×associate-*r* pow-prod-down
3×times-frac associate-/r* add-log-exp
2×cbrt-undiv div-exp associate-*l/ *-commutative
1×flip3-- frac-2neg clear-num sqrt-prod flip-- div-inv associate-/l* unswap-sqr
Counts
3 → 60
Calls
3 calls:
3.0ms
(/ (* t t) 2.0)
15.0ms
(* (sqrt (* z 2.0)) (exp (/ (* t t) 2.0)))
46.0ms
(* (- (* x 0.5) y) (* (sqrt (* z 2.0)) (exp (/ (* t t) 2.0))))

series283.0ms

Counts
3 → 9
Calls
3 calls:
25.0ms
(/ (* t t) 2.0)
100.0ms
(* (sqrt (* z 2.0)) (exp (/ (* t t) 2.0)))
158.0ms
(* (- (* x 0.5) y) (* (sqrt (* z 2.0)) (exp (/ (* t t) 2.0))))

simplify49.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0454587
11785496
25001486

prune209.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

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)))
0.2b
(* (- (* x 0.5) y) (sqrt z))
0.5b
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

rewrite109.0ms

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:
3.0ms
(/ (* t t) 2.0)
72.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
11.0ms
(* (- (* x 0.5) y) (sqrt z))
20.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series400.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(/ (* t t) 2.0)
185.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
59.0ms
(* (- (* x 0.5) y) (sqrt z))
132.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify73.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
0474814
12310687
25001683

prune329.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (exp (/ (* t t) 2.0)))
0.2b
(* (- (* x 0.5) y) (sqrt z))
0.3b
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
0.4b
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0)))

rewrite396.0ms

Algorithm
rewrite-expression-head
Rules
34×pow1 add-cbrt-cube
30×add-exp-log
27×associate-*r*
22×sqrt-prod
20×pow-prod-down associate-*l/ prod-exp cbrt-unprod
18×add-sqr-sqrt
14×add-cube-cbrt *-un-lft-identity
6×associate-*l*
4×flip3-- *-commutative flip-- add-log-exp
2×unswap-sqr
Counts
4 → 105
Calls
4 calls:
261.0ms
(* (* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (exp (/ (* t t) 2.0)))
13.0ms
(* (- (* x 0.5) y) (sqrt z))
78.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
40.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0)))

series561.0ms

Counts
4 → 12
Calls
4 calls:
197.0ms
(* (* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (exp (/ (* t t) 2.0)))
62.0ms
(* (- (* x 0.5) y) (sqrt z))
134.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
166.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0)))

simplify81.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 2 (69.0ms)

IterNodesCost
05431259
12725997
25002985

prune298.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes595.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0199
1199

end0.0ms

sample2.5s

Algorithm
intervals
Results
799.0ms17977×body80valid
795.0ms18102×body80nan