Details

Time bar (total: 7.5s)

sample88.0ms

Algorithm
intervals
Results
25.0ms588×body80nan
25.0ms579×body80valid

simplify94.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0269
1439
2929
31869
43419
57039
621679
750019

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize19.0ms

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)))

rewrite63.0ms

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)
40.0ms
(* (* (- (* 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)))

series404.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(/ (* t t) 2.0)
211.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
28.0ms
(exp (/ (* t t) 2.0))
128.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify72.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
0463658
11807565
25001558

prune351.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

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)))
15.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series437.0ms

Counts
3 → 9
Calls
3 calls:
63.0ms
(pow (exp t) (/ t 2.0))
247.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
128.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify82.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
0513701
12030621
25001617

prune355.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite120.0ms

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:
3.0ms
(pow (exp t) (/ t 2.0))
78.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (pow (exp t) (/ t 2.0)))
13.0ms
(* (- (* x 0.5) y) (sqrt z))
22.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series589.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(pow (exp t) (/ t 2.0))
286.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (pow (exp t) (/ t 2.0)))
78.0ms
(* (- (* x 0.5) y) (sqrt z))
162.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify96.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (84.0ms)

IterNodesCost
05771000
12614873
25002867

prune456.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize17.0ms

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

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
34×add-sqr-sqrt
32×add-exp-log
22×prod-exp
20×add-cube-cbrt *-un-lft-identity add-cbrt-cube
14×associate-*r*
13×pow-unpow
12×pow1
10×associate-*l* sqrt-prod cbrt-unprod
9×times-frac
8×unpow-prod-down unswap-sqr
6×associate-*l/
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×flip3-- flip--
1×div-inv
Counts
4 → 119
Calls
4 calls:
3.0ms
(pow (exp t) (/ t 2.0))
13.0ms
(* (sqrt 2.0) (pow (exp t) (/ t 2.0)))
13.0ms
(* (- (* x 0.5) y) (sqrt z))
31.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (* (sqrt 2.0) (pow (exp t) (/ t 2.0))))

series530.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(pow (exp t) (/ t 2.0))
109.0ms
(* (sqrt 2.0) (pow (exp t) (/ t 2.0)))
77.0ms
(* (- (* x 0.5) y) (sqrt z))
289.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (* (sqrt 2.0) (pow (exp t) (/ t 2.0))))

simplify103.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 2 (83.0ms)

IterNodesCost
05421030
12335901
25001896

prune428.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes442.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0199
1199

end0.0ms

sample2.6s

Algorithm
intervals
Results
825.0ms18203×body80valid
818.0ms18433×body80nan