Details

Time bar (total: 6.5s)

sample97.0ms

Algorithm
intervals
Results
29.0ms618×body80nan
27.0ms603×body80valid

simplify73.0ms

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: 0.5b

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)))
0.2b
(sqrt (* z 2.0))
0.3b
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
16×add-cbrt-cube
14×pow1 add-exp-log
11×add-sqr-sqrt
9×add-cube-cbrt *-un-lft-identity
7×associate-*r*
6×associate-*l/
5×pow-prod-down prod-exp cbrt-unprod
4×associate-*l* add-log-exp
3×times-frac associate-/r*
2×cbrt-undiv flip3-- sqrt-pow1 div-exp sqrt-prod *-commutative flip--
1×frac-2neg pow1/2 clear-num div-inv associate-/l* unswap-sqr
Counts
4 → 73
Calls
4 calls:
4.0ms
(/ (* t t) 2.0)
14.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
2.0ms
(sqrt (* z 2.0))
8.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series335.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(/ (* t t) 2.0)
157.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
48.0ms
(sqrt (* z 2.0))
103.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify52.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0510611
12044513
25002513

prune245.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (* 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)))
0.5b
(* (sqrt z) (sqrt 2.0))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
25×add-cbrt-cube
22×pow1 add-exp-log
20×add-sqr-sqrt
12×add-cube-cbrt *-un-lft-identity pow-prod-down
11×prod-exp cbrt-unprod
10×associate-*r* associate-*l* sqrt-prod
6×associate-*l/
4×add-log-exp unswap-sqr
3×times-frac associate-/r* *-commutative
2×cbrt-undiv flip3-- sqrt-pow1 pow1/2 div-exp flip--
1×frac-2neg sqrt-unprod clear-num div-inv associate-/l*
Counts
4 → 94
Calls
4 calls:
4.0ms
(/ (* t t) 2.0)
14.0ms
(* (* (- (* x 0.5) y) (* (sqrt z) (sqrt 2.0))) (exp (/ (* t t) 2.0)))
9.0ms
(* (- (* x 0.5) y) (* (sqrt z) (sqrt 2.0)))
6.0ms
(* (sqrt z) (sqrt 2.0))

series429.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(/ (* t t) 2.0)
195.0ms
(* (* (- (* x 0.5) y) (* (sqrt z) (sqrt 2.0))) (exp (/ (* t t) 2.0)))
134.0ms
(* (- (* x 0.5) y) (* (sqrt z) (sqrt 2.0)))
69.0ms
(* (sqrt z) (sqrt 2.0))

simplify66.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
0508809
12304687
25003685

prune292.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
25×add-cbrt-cube
22×add-exp-log
20×pow1
16×add-sqr-sqrt
15×associate-*r*
12×add-cube-cbrt *-un-lft-identity associate-*l/
11×prod-exp cbrt-unprod
10×pow-prod-down
7×sqrt-prod
5×associate-*l*
4×add-log-exp
3×flip3-- times-frac associate-/r* *-commutative flip--
2×cbrt-undiv div-exp unswap-sqr
1×frac-2neg clear-num div-inv associate-/l*
Counts
4 → 91
Calls
4 calls:
5.0ms
(/ (* t t) 2.0)
14.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
7.0ms
(* (- (* x 0.5) y) (sqrt z))
10.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series432.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(/ (* t t) 2.0)
200.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
65.0ms
(* (- (* x 0.5) y) (sqrt z))
141.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify64.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
0474814
12310687
25001683

prune281.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (* t t) 2.0)
0.2b
(* (- (* x 0.5) y) (sqrt z))
0.3b
(* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))
0.3b
(* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
41×add-exp-log
36×pow1
28×add-cbrt-cube
23×prod-exp cbrt-unprod
22×pow-prod-down
16×add-sqr-sqrt associate-*r*
12×add-cube-cbrt *-un-lft-identity associate-*l/
7×sqrt-prod
6×cbrt-prod
5×associate-*l*
4×add-log-exp
3×flip3-- times-frac associate-/r* *-commutative flip--
2×cbrt-undiv div-exp unswap-sqr
1×frac-2neg clear-num div-inv associate-/l*
Counts
4 → 104
Calls
4 calls:
5.0ms
(/ (* t t) 2.0)
7.0ms
(* (- (* x 0.5) y) (sqrt z))
17.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))
14.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))

series681.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(/ (* t t) 2.0)
64.0ms
(* (- (* x 0.5) y) (sqrt z))
148.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))
444.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))

simplify73.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
05191189
12528911
25002852

prune318.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0.0b

regimes564.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02010
12010

end0.0ms

sample2.3s

Algorithm
intervals
Results
727.0ms18220×body80valid
714.0ms17999×body80nan