Details

Time bar (total: 7.6s)

sample92.0ms

Algorithm
intervals
Results
27.0ms548×body80nan
25.0ms578×body80valid

simplify104.0ms

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

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
16×add-cbrt-cube
14×add-exp-log
13×add-sqr-sqrt
11×pow1 add-cube-cbrt *-un-lft-identity
7×exp-prod associate-*r*
6×times-frac associate-*l/
5×prod-exp cbrt-unprod add-log-exp
4×expm1-log1p-u associate-*l* pow-prod-down log1p-expm1-u
3×associate-/r*
2×cbrt-undiv flip3-- div-exp *-commutative flip-- div-inv
1×frac-2neg clear-num sqrt-prod rem-exp-log associate-/l* unswap-sqr
Counts
4 → 85
Calls
4 calls:
4.0ms
(/ (* t t) 2.0)
44.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
3.0ms
(exp (/ (* t t) 2.0))
16.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series383.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(/ (* t t) 2.0)
204.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
22.0ms
(exp (/ (* t t) 2.0))
128.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify67.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
0463658
11807565
25001558

prune375.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite58.0ms

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:
3.0ms
(pow (exp t) (/ t 2.0))
36.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
16.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series417.0ms

Counts
3 → 9
Calls
3 calls:
54.0ms
(pow (exp t) (/ t 2.0))
231.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
132.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify76.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
0513701
12030621
25001617

prune365.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
16×add-exp-log add-cube-cbrt *-un-lft-identity
13×pow-unpow
10×prod-exp add-cbrt-cube
9×times-frac
8×associate-*r*
7×unpow-prod-down associate-*l*
6×pow1
4×pow-pow cbrt-unprod
3×expm1-log1p-u pow-to-exp exp-prod pow-exp log1p-expm1-u add-log-exp unswap-sqr sqr-pow
2×associate-*l/ *-commutative
1×flip3-- pow-prod-down sqrt-prod flip-- div-inv
Counts
3 → 83
Calls
3 calls:
3.0ms
(pow (exp t) (/ t 2.0))
17.0ms
(* (sqrt (* z 2.0)) (pow (exp t) (/ t 2.0)))
33.0ms
(* (- (* x 0.5) y) (* (sqrt (* z 2.0)) (pow (exp t) (/ t 2.0))))

series651.0ms

Counts
3 → 9
Calls
3 calls:
56.0ms
(pow (exp t) (/ t 2.0))
142.0ms
(* (sqrt (* z 2.0)) (pow (exp t) (/ t 2.0)))
451.0ms
(* (- (* x 0.5) y) (* (sqrt (* z 2.0)) (pow (exp t) (/ t 2.0))))

simplify73.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
0547768
12114680
25001673

prune337.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
32×add-exp-log
30×add-sqr-sqrt
22×prod-exp
20×add-cube-cbrt *-un-lft-identity add-cbrt-cube
15×associate-*l*
13×pow-unpow
12×pow1
10×cbrt-unprod
9×times-frac associate-*r* sqrt-prod
8×unpow-prod-down
6×unswap-sqr
4×expm1-log1p-u pow-to-exp pow-pow pow-prod-down pow-exp log1p-expm1-u add-log-exp sqr-pow
3×exp-prod *-commutative
2×associate-*l/
1×flip3-- flip-- div-inv
Counts
4 → 115
Calls
4 calls:
3.0ms
(pow (exp t) (/ t 2.0))
9.0ms
(* (sqrt 2.0) (pow (exp t) (/ t 2.0)))
46.0ms
(* (- (* x 0.5) y) (* (sqrt z) (* (sqrt 2.0) (pow (exp t) (/ t 2.0)))))
17.0ms
(* (sqrt z) (* (sqrt 2.0) (pow (exp t) (/ t 2.0))))

series576.0ms

Counts
4 → 12
Calls
4 calls:
57.0ms
(pow (exp t) (/ t 2.0))
97.0ms
(* (sqrt 2.0) (pow (exp t) (/ t 2.0)))
251.0ms
(* (- (* x 0.5) y) (* (sqrt z) (* (sqrt 2.0) (pow (exp t) (/ t 2.0)))))
170.0ms
(* (sqrt z) (* (sqrt 2.0) (pow (exp t) (/ t 2.0))))

simplify91.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (78.0ms)

IterNodesCost
05761099
12514966
25001960

prune394.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes569.0ms

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

sample2.7s

Algorithm
intervals
Results
829.0ms18146×body80valid
815.0ms18159×body80nan