Details

Time bar (total: 8.1s)

sample140.0ms

Algorithm
intervals
Results
56.0ms600×body80valid
48.0ms592×body80nan

simplify74.0ms

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

localize12.0ms

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)))

rewrite62.0ms

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:
5.0ms
(/ (* t t) 2.0)
38.0ms
(* (* (- (* 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)))

series291.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(/ (* t t) 2.0)
152.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
18.0ms
(exp (/ (* t t) 2.0))
98.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify50.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0443614
11819523
25001520

prune268.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(exp (/ (* t t) 2.0))
0.0b
(cbrt (pow (exp (/ (* t t) 2.0)) 3))
0.0b
(pow (exp (/ (* t t) 2.0)) 3)
0.2b
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
16×add-cube-cbrt *-un-lft-identity
14×exp-prod
12×cbrt-prod
8×pow-pow
7×pow1 add-cbrt-cube
6×add-exp-log unpow-prod-down times-frac cube-prod
5×add-log-exp
4×associate-*r*
3×pow-unpow associate-*l*
2×cube-mult unpow3 associate-*l/ div-inv sqr-pow
1×pow-to-exp flip3-- pow1/3 pow-prod-down pow-exp prod-exp sqrt-prod *-commutative flip-- rem-cbrt-cube cbrt-unprod rem-exp-log rem-cube-cbrt unswap-sqr
Counts
4 → 87
Calls
4 calls:
2.0ms
(exp (/ (* t t) 2.0))
3.0ms
(cbrt (pow (exp (/ (* t t) 2.0)) 3))
4.0ms
(pow (exp (/ (* t t) 2.0)) 3)
17.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series187.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(exp (/ (* t t) 2.0))
18.0ms
(cbrt (pow (exp (/ (* t t) 2.0)) 3))
52.0ms
(pow (exp (/ (* t t) 2.0)) 3)
100.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify41.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0350543
11330507
25002500

prune290.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite128.0ms

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:
88.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
4.0ms
(exp (/ (* t t) 2.0))
12.0ms
(* (- (* x 0.5) y) (sqrt z))
21.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series385.0ms

Counts
4 → 12
Calls
4 calls:
184.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
17.0ms
(exp (/ (* t t) 2.0))
57.0ms
(* (- (* x 0.5) y) (sqrt z))
127.0ms
(* (* (- (* 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

prune265.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite160.0ms

Algorithm
rewrite-expression-head
Rules
36×pow1 add-exp-log
23×add-cbrt-cube
22×pow-prod-down prod-exp cbrt-unprod
16×add-sqr-sqrt associate-*r*
12×add-cube-cbrt *-un-lft-identity associate-*l/
7×exp-prod sqrt-prod
6×cbrt-prod
5×associate-*l* add-log-exp
3×flip3-- times-frac *-commutative flip--
2×unswap-sqr
1×div-inv rem-exp-log
Counts
4 → 98
Calls
4 calls:
2.0ms
(exp (/ (* t t) 2.0))
12.0ms
(* (- (* x 0.5) y) (sqrt z))
31.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
110.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))

series633.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(exp (/ (* t t) 2.0))
62.0ms
(* (- (* x 0.5) y) (sqrt z))
420.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
133.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))

simplify73.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
04801176
12154911
25003852

prune292.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes525.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02211
12211

end0.0ms

sample4.1s

Algorithm
intervals
Results
1.6s18069×body80valid
1.5s18076×body80nan