Details

Time bar (total: 7.4s)

sample80.0ms

Algorithm
intervals
Results
23.0ms553×body80nan
23.0ms587×body80valid

simplify72.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite60.0ms

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×times-frac
2×flip3-- *-commutative flip--
1×sqrt-prod div-inv rem-exp-log unswap-sqr
Counts
3 → 56
Calls
3 calls:
2.0ms
(exp (/ (* t t) 2.0))
39.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
17.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series283.0ms

Counts
3 → 9
Calls
3 calls:
18.0ms
(exp (/ (* t t) 2.0))
163.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
102.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify42.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0365529
11421453
25002450

prune203.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite121.0ms

Algorithm
rewrite-expression-head
Rules
20×pow1 add-cbrt-cube
17×add-exp-log
16×add-sqr-sqrt
15×associate-*r*
12×add-cube-cbrt *-un-lft-identity associate-*l/
10×pow-prod-down prod-exp cbrt-unprod
7×exp-prod sqrt-prod
5×associate-*l* add-log-exp
3×flip3-- times-frac *-commutative flip--
2×unswap-sqr
1×div-inv rem-exp-log
Counts
4 → 85
Calls
4 calls:
4.0ms
(exp (/ (* t t) 2.0))
78.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
15.0ms
(* (- (* x 0.5) y) (sqrt z))
22.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series414.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(exp (/ (* t t) 2.0))
201.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
61.0ms
(* (- (* x 0.5) y) (sqrt z))
134.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify56.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0423800
11954683
25002675

prune272.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite95.0ms

Algorithm
rewrite-expression-head
Rules
22×pow1
20×add-sqr-sqrt add-cbrt-cube
17×add-exp-log
12×add-cube-cbrt *-un-lft-identity pow-prod-down
10×associate-*r* associate-*l* prod-exp sqrt-prod cbrt-unprod
7×exp-prod
6×associate-*l/
5×add-log-exp
4×unswap-sqr
3×times-frac *-commutative
2×flip3-- sqrt-pow1 pow1/2 flip--
1×sqrt-unprod div-inv rem-exp-log
Counts
4 → 88
Calls
4 calls:
3.0ms
(exp (/ (* t t) 2.0))
63.0ms
(* (* (- (* x 0.5) y) (* (sqrt z) (sqrt 2.0))) (exp (/ (* t t) 2.0)))
20.0ms
(* (- (* x 0.5) y) (* (sqrt z) (sqrt 2.0)))
7.0ms
(* (sqrt z) (sqrt 2.0))

series411.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(exp (/ (* t t) 2.0))
192.0ms
(* (* (- (* x 0.5) y) (* (sqrt z) (sqrt 2.0))) (exp (/ (* t t) 2.0)))
130.0ms
(* (- (* x 0.5) y) (* (sqrt z) (sqrt 2.0)))
67.0ms
(* (sqrt z) (sqrt 2.0))

simplify59.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0457795
11948683
25001674

prune315.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite561.0ms

Algorithm
rewrite-expression-head
Rules
61×pow1
55×add-exp-log
41×pow-prod-down prod-exp cbrt-unprod
39×add-cbrt-cube
20×associate-*l/
19×associate-*r*
15×add-sqr-sqrt
11×add-cube-cbrt *-un-lft-identity
7×sqrt-prod
6×cbrt-prod associate-*l*
4×flip3-- *-commutative flip-- add-log-exp
2×unswap-sqr
Counts
4 → 115
Calls
4 calls:
399.0ms
(* (* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0))) (exp (/ (* t t) 2.0)))
33.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
13.0ms
(* (- (* x 0.5) y) (sqrt z))
111.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))

series856.0ms

Counts
4 → 12
Calls
4 calls:
207.0ms
(* (* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0))) (exp (/ (* t t) 2.0)))
446.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
63.0ms
(* (- (* x 0.5) y) (sqrt z))
140.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))

simplify86.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
05781862
128201355
250021264

prune307.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes692.0ms

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

sample2.4s

Algorithm
intervals
Results
737.0ms18093×body80valid
729.0ms17963×body80nan