Details

Time bar (total: 8.8s)

sample153.0ms

Algorithm
intervals
Results
59.0ms580×body80valid
57.0ms553×body80nan

simplify73.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0259
1419
2889
31659
42879
56259
620149
750029

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize15.0ms

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

rewrite61.0ms

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×associate-*l* pow-prod-down
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 → 77
Calls
4 calls:
3.0ms
(/ (* t t) 2.0)
39.0ms
(* (* (- (* 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)))

series488.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(/ (* t t) 2.0)
335.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
18.0ms
(exp (/ (* t t) 2.0))
106.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify52.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0443614
11819523
25001520

prune287.0ms

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

rewrite56.0ms

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×pow-to-exp exp-prod pow-exp add-log-exp
2×flip3-- *-commutative flip-- sqr-pow
1×pow-prod-down sqrt-prod div-inv unswap-sqr
Counts
3 → 77
Calls
3 calls:
36.0ms
(* (* (- (* 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)))

series327.0ms

Counts
3 → 9
Calls
3 calls:
179.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
47.0ms
(pow (exp t) (/ t 2.0))
100.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify57.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0495663
12045592
25002592

prune260.0ms

Pruning

8 alts after pruning (7 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))

rewrite112.0ms

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×pow-to-exp pow-pow pow-prod-down pow-exp add-log-exp
3×exp-prod flip3-- *-commutative flip--
2×unswap-sqr sqr-pow
1×div-inv
Counts
4 → 107
Calls
4 calls:
73.0ms
(* (* (* (- (* 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))
21.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series452.0ms

Counts
4 → 12
Calls
4 calls:
218.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (pow (exp t) (/ t 2.0)))
49.0ms
(pow (exp t) (/ t 2.0))
56.0ms
(* (- (* x 0.5) y) (sqrt z))
129.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify76.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
0559948
12648834
25002834

prune330.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite120.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
24×associate-*r*
22×add-cube-cbrt *-un-lft-identity sqrt-prod
21×pow1
20×add-exp-log add-cbrt-cube
13×pow-unpow
12×associate-*l/
10×pow-prod-down prod-exp cbrt-unprod
9×times-frac
5×associate-*l*
4×pow-pow add-log-exp
3×unpow-prod-down exp-prod flip3-- *-commutative flip--
2×unswap-sqr
1×pow-to-exp pow-exp div-inv sqr-pow
Counts
4 → 109
Calls
4 calls:
3.0ms
(pow (exp t) (/ t 2.0))
79.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
12.0ms
(* (- (* x 0.5) y) (sqrt z))
23.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0)))

series398.0ms

Counts
4 → 12
Calls
4 calls:
57.0ms
(pow (exp t) (/ t 2.0))
128.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
58.0ms
(* (- (* x 0.5) y) (sqrt z))
154.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0)))

simplify82.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 1 (21.0ms)

IterNodesCost
0565936
12639789
25002789

prune346.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes341.0ms

Accuracy

0% (0.2b 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

sample4.7s

Algorithm
intervals
Results
1.9s18018×body80valid
1.8s17960×body80nan