Details

Time bar (total: 7.3s)

sample95.0ms

Algorithm
intervals
Results
28.0ms646×body80nan
26.0ms599×body80valid

simplify105.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
0269
1439
2929
31869
43419
57039
621679
750019

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.7b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
14×pow1
11×add-sqr-sqrt add-cbrt-cube
9×add-exp-log add-cube-cbrt *-un-lft-identity
7×exp-prod associate-*r*
6×associate-*l/
5×pow-prod-down add-log-exp
4×expm1-log1p-u associate-*l* prod-exp cbrt-unprod log1p-expm1-u
3×times-frac
2×flip3-- sqrt-pow1 sqrt-prod *-commutative flip--
1×pow1/2 div-inv rem-exp-log unswap-sqr
Counts
4 → 75
Calls
4 calls:
3.0ms
(exp (/ (* t t) 2.0))
14.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
3.0ms
(sqrt (* z 2.0))
9.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series380.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(exp (/ (* t t) 2.0))
180.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
58.0ms
(sqrt (* z 2.0))
115.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify69.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
0485643
11739551
25001541

prune332.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
14×pow1
11×add-sqr-sqrt add-cbrt-cube
9×add-exp-log add-cube-cbrt *-un-lft-identity
7×exp-prod associate-*l*
5×pow-prod-down add-log-exp
4×expm1-log1p-u associate-*r* prod-exp cbrt-unprod log1p-expm1-u
3×times-frac
2×sqrt-pow1 associate-*l/ sqrt-prod *-commutative
1×flip3-- pow1/2 flip-- div-inv rem-exp-log unswap-sqr
Counts
4 → 73
Calls
4 calls:
10.0ms
(* (sqrt (* z 2.0)) (exp (/ (* t t) 2.0)))
3.0ms
(exp (/ (* t t) 2.0))
3.0ms
(sqrt (* z 2.0))
15.0ms
(* (- (* x 0.5) y) (* (sqrt (* z 2.0)) (exp (/ (* t t) 2.0))))

series377.0ms

Counts
4 → 12
Calls
4 calls:
108.0ms
(* (sqrt (* z 2.0)) (exp (/ (* t t) 2.0)))
21.0ms
(exp (/ (* t t) 2.0))
58.0ms
(sqrt (* z 2.0))
189.0ms
(* (- (* x 0.5) y) (* (sqrt (* z 2.0)) (exp (/ (* t t) 2.0))))

simplify68.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
0482687
11700590
25001576

prune328.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt
17×add-exp-log add-cube-cbrt *-un-lft-identity
13×pow-unpow
11×add-cbrt-cube
10×pow1 prod-exp
9×times-frac
8×associate-*r*
7×unpow-prod-down associate-*l*
4×expm1-log1p-u pow-pow cbrt-unprod log1p-expm1-u add-log-exp
3×pow-to-exp exp-prod pow-exp unswap-sqr sqr-pow
2×sqrt-pow1 pow-prod-down associate-*l/ sqrt-prod *-commutative
1×flip3-- pow1/2 flip-- div-inv
Counts
4 → 96
Calls
4 calls:
5.0ms
(pow (exp t) (/ t 2.0))
8.0ms
(* (sqrt (* z 2.0)) (pow (exp t) (/ t 2.0)))
3.0ms
(sqrt (* z 2.0))
13.0ms
(* (- (* x 0.5) y) (* (sqrt (* z 2.0)) (pow (exp t) (/ t 2.0))))

series458.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(pow (exp t) (/ t 2.0))
140.0ms
(* (sqrt (* z 2.0)) (pow (exp t) (/ t 2.0)))
53.0ms
(sqrt (* z 2.0))
212.0ms
(* (- (* x 0.5) y) (* (sqrt (* z 2.0)) (pow (exp t) (/ t 2.0))))

simplify88.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (73.0ms)

IterNodesCost
0605842
12291742
25002734

prune417.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(pow (exp t) (/ t 2.0))
0.0b
(* (* (pow z 1/2) (sqrt 2.0)) (pow (exp t) (/ t 2.0)))
0.2b
(* (- (* x 0.5) y) (* (* (pow z 1/2) (sqrt 2.0)) (pow (exp t) (/ t 2.0))))
0.5b
(* (pow z 1/2) (sqrt 2.0))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
67×add-exp-log
58×prod-exp
30×add-sqr-sqrt
20×add-cube-cbrt *-un-lft-identity add-cbrt-cube
16×pow-to-exp pow-exp
14×associate-*r*
13×pow-unpow
11×unpow-prod-down associate-*l*
10×cbrt-unprod
9×times-frac
7×pow1
6×sqrt-prod unswap-sqr
5×sqr-pow
4×expm1-log1p-u pow-pow log1p-expm1-u add-log-exp
3×exp-prod *-commutative
2×pow-prod-down associate-*l/
1×flip3-- pow1/2 sqrt-unprod flip-- div-inv unpow1/2
Counts
4 → 132
Calls
4 calls:
5.0ms
(pow (exp t) (/ t 2.0))
11.0ms
(* (* (pow z 1/2) (sqrt 2.0)) (pow (exp t) (/ t 2.0)))
18.0ms
(* (- (* x 0.5) y) (* (* (pow z 1/2) (sqrt 2.0)) (pow (exp t) (/ t 2.0))))
8.0ms
(* (pow z 1/2) (sqrt 2.0))

series542.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(pow (exp t) (/ t 2.0))
162.0ms
(* (* (pow z 1/2) (sqrt 2.0)) (pow (exp t) (/ t 2.0)))
250.0ms
(* (- (* x 0.5) y) (* (* (pow z 1/2) (sqrt 2.0)) (pow (exp t) (/ t 2.0))))
77.0ms
(* (pow z 1/2) (sqrt 2.0))

simplify109.0ms

Algorithm
egg-herbie
Counts
144 → 144
Iterations

Useful iterations: 2 (95.0ms)

IterNodesCost
06641185
127521025
250011017

prune427.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes734.0ms

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
02110
12110

end0.0ms

sample2.5s

Algorithm
intervals
Results
794.0ms17690×body80valid
755.0ms17527×body80nan