Details

Time bar (total: 9.0s)

sample121.0ms

Algorithm
intervals
Results
43.0ms554×body80valid
42.0ms531×body80nan

simplify91.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0269
1439
2929
31869
43419
57039
621679
750019

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize13.0ms

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)))

rewrite63.0ms

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×expm1-log1p-u times-frac associate-/r* log1p-expm1-u 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 → 68
Calls
3 calls:
4.0ms
(/ (* t t) 2.0)
42.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
15.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series324.0ms

Counts
3 → 9
Calls
3 calls:
28.0ms
(/ (* t t) 2.0)
183.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
113.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify59.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0432581
11713493
25002486

prune259.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

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))))

rewrite75.0ms

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×expm1-log1p-u times-frac associate-/r* log1p-expm1-u 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 → 66
Calls
3 calls:
6.0ms
(/ (* t t) 2.0)
17.0ms
(* (sqrt (* z 2.0)) (exp (/ (* t t) 2.0)))
51.0ms
(* (- (* x 0.5) y) (* (sqrt (* z 2.0)) (exp (/ (* t t) 2.0))))

series321.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(/ (* t t) 2.0)
109.0ms
(* (sqrt (* z 2.0)) (exp (/ (* t t) 2.0)))
180.0ms
(* (- (* x 0.5) y) (* (sqrt (* z 2.0)) (exp (/ (* t t) 2.0))))

simplify60.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0472627
11842535
25001523

prune256.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

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))
0.4b
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

rewrite125.0ms

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×expm1-log1p-u log1p-expm1-u 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 → 99
Calls
4 calls:
4.0ms
(/ (* t t) 2.0)
81.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
13.0ms
(* (- (* x 0.5) y) (sqrt z))
24.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series450.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(/ (* t t) 2.0)
212.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
66.0ms
(* (- (* x 0.5) y) (sqrt z))
144.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify71.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
0490866
12265736
25001722

prune335.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize18.0ms

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)))
0.2b
(* (- (* x 0.5) y) (sqrt z))
0.3b
(* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))
0.3b
(* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))

rewrite575.0ms

Algorithm
rewrite-expression-head
Rules
61×pow1
55×add-exp-log
41×pow-prod-down prod-exp cbrt-unprod
39×add-cbrt-cube
20×associate-*l/
19×associate-*r*
15×add-sqr-sqrt
11×add-cube-cbrt *-un-lft-identity
7×sqrt-prod
6×cbrt-prod associate-*l*
4×expm1-log1p-u flip3-- *-commutative flip-- log1p-expm1-u add-log-exp
2×unswap-sqr
Counts
4 → 123
Calls
4 calls:
412.0ms
(* (* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0))) (exp (/ (* t t) 2.0)))
13.0ms
(* (- (* x 0.5) y) (sqrt z))
114.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))
32.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))

series930.0ms

Counts
4 → 12
Calls
4 calls:
232.0ms
(* (* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0))) (exp (/ (* t t) 2.0)))
70.0ms
(* (- (* x 0.5) y) (sqrt z))
153.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))
474.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))

simplify102.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 2 (87.0ms)

IterNodesCost
05961958
128071442
250021319

prune368.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

regimes511.0ms

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

sample3.8s

Algorithm
intervals
Results
1.5s18143×body80valid
1.4s18032×body80nan