Details

Time bar (total: 8.4s)

sample119.0ms

Algorithm
intervals
Results
47.0ms538×body80valid
39.0ms487×body80nan

simplify82.0ms

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

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
10×pow1 add-sqr-sqrt add-cbrt-cube
8×add-exp-log add-cube-cbrt *-un-lft-identity
7×exp-prod associate-*r*
6×associate-*l/
4×associate-*l* pow-prod-down prod-exp cbrt-unprod add-log-exp
3×expm1-log1p-u times-frac log1p-expm1-u
2×flip3-- *-commutative flip--
1×sqrt-prod div-inv rem-exp-log unswap-sqr
Counts
3 → 62
Calls
3 calls:
41.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
2.0ms
(exp (/ (* t t) 2.0))
15.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series292.0ms

Counts
3 → 9
Calls
3 calls:
166.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
19.0ms
(exp (/ (* t t) 2.0))
107.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify52.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0383567
11404489
25001482

prune442.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
16×add-exp-log add-cube-cbrt *-un-lft-identity
13×pow-unpow
11×associate-*r*
10×prod-exp add-cbrt-cube
9×times-frac
6×pow1 unpow-prod-down associate-*l/
4×pow-pow associate-*l* cbrt-unprod
3×expm1-log1p-u pow-to-exp exp-prod pow-exp log1p-expm1-u add-log-exp
2×flip3-- *-commutative flip-- sqr-pow
1×pow-prod-down sqrt-prod div-inv unswap-sqr
Counts
3 → 83
Calls
3 calls:
37.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
3.0ms
(pow (exp t) (/ t 2.0))
15.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series351.0ms

Counts
3 → 9
Calls
3 calls:
193.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
51.0ms
(pow (exp t) (/ t 2.0))
107.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify64.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
0513701
12030621
25001617

prune324.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite115.0ms

Algorithm
rewrite-expression-head
Rules
32×add-exp-log
24×add-sqr-sqrt
22×prod-exp
20×add-cube-cbrt *-un-lft-identity add-cbrt-cube
19×associate-*r*
13×pow-unpow
12×pow1 associate-*l/
10×cbrt-unprod
9×times-frac
7×sqrt-prod
6×unpow-prod-down
5×associate-*l*
4×expm1-log1p-u pow-to-exp pow-pow pow-prod-down pow-exp log1p-expm1-u add-log-exp
3×exp-prod flip3-- *-commutative flip--
2×unswap-sqr sqr-pow
1×div-inv
Counts
4 → 115
Calls
4 calls:
72.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (pow (exp t) (/ t 2.0)))
3.0ms
(pow (exp t) (/ t 2.0))
12.0ms
(* (- (* x 0.5) y) (sqrt z))
25.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series473.0ms

Counts
4 → 12
Calls
4 calls:
226.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (pow (exp t) (/ t 2.0)))
47.0ms
(pow (exp t) (/ t 2.0))
64.0ms
(* (- (* x 0.5) y) (sqrt z))
136.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify80.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (69.0ms)

IterNodesCost
05771000
12614873
25002867

prune400.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite89.0ms

Algorithm
rewrite-expression-head
Rules
32×add-exp-log
28×add-sqr-sqrt
22×prod-exp
20×add-cube-cbrt *-un-lft-identity add-cbrt-cube
14×pow1 associate-*r*
13×pow-unpow
10×associate-*l* sqrt-prod cbrt-unprod
9×times-frac
6×unpow-prod-down pow-prod-down associate-*l/
4×expm1-log1p-u pow-to-exp pow-pow pow-exp log1p-expm1-u add-log-exp unswap-sqr
3×exp-prod *-commutative
2×flip3-- sqrt-pow1 pow1/2 flip-- sqr-pow
1×sqrt-unprod div-inv
Counts
4 → 118
Calls
4 calls:
56.0ms
(* (* (- (* x 0.5) y) (* (sqrt z) (sqrt 2.0))) (pow (exp t) (/ t 2.0)))
3.0ms
(pow (exp t) (/ t 2.0))
20.0ms
(* (- (* x 0.5) y) (* (sqrt z) (sqrt 2.0)))
7.0ms
(* (sqrt z) (sqrt 2.0))

series484.0ms

Counts
4 → 12
Calls
4 calls:
223.0ms
(* (* (- (* x 0.5) y) (* (sqrt z) (sqrt 2.0))) (pow (exp t) (/ t 2.0)))
54.0ms
(pow (exp t) (/ t 2.0))
136.0ms
(* (- (* x 0.5) y) (* (sqrt z) (sqrt 2.0)))
72.0ms
(* (sqrt z) (sqrt 2.0))

simplify82.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
0615993
12662874
25001867

prune395.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes468.0ms

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02010
12010

end0.0ms

sample4.0s

Algorithm
intervals
Results
1.5s18215×body80valid
1.5s18316×body80nan