Details

Time bar (total: 7.8s)

sample90.0ms

Algorithm
intervals
Results
26.0ms618×body80nan
26.0ms603×body80valid

simplify100.0ms

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: 0.5b

localize17.0ms

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)))

rewrite59.0ms

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×expm1-log1p-u associate-*l* log1p-expm1-u 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 → 81
Calls
4 calls:
3.0ms
(/ (* t t) 2.0)
38.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
2.0ms
(sqrt (* z 2.0))
14.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series391.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(/ (* t t) 2.0)
186.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
54.0ms
(sqrt (* z 2.0))
123.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify71.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
0534657
12042555
25002545

prune356.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

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))

rewrite92.0ms

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×expm1-log1p-u log1p-expm1-u 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 → 102
Calls
4 calls:
4.0ms
(/ (* t t) 2.0)
60.0ms
(* (* (- (* x 0.5) y) (* (sqrt z) (sqrt 2.0))) (exp (/ (* t t) 2.0)))
19.0ms
(* (- (* x 0.5) y) (* (sqrt z) (sqrt 2.0)))
7.0ms
(* (sqrt z) (sqrt 2.0))

series467.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(/ (* t t) 2.0)
216.0ms
(* (* (- (* x 0.5) y) (* (sqrt z) (sqrt 2.0))) (exp (/ (* t t) 2.0)))
145.0ms
(* (- (* x 0.5) y) (* (sqrt z) (sqrt 2.0)))
75.0ms
(* (sqrt z) (sqrt 2.0))

simplify80.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (70.0ms)

IterNodesCost
0526859
12354735
25003722

prune380.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

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))

rewrite116.0ms

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×expm1-log1p-u log1p-expm1-u 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 → 99
Calls
4 calls:
4.0ms
(/ (* t t) 2.0)
76.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
12.0ms
(* (- (* x 0.5) y) (sqrt z))
21.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series458.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(/ (* t t) 2.0)
219.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
69.0ms
(* (- (* x 0.5) y) (sqrt z))
144.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify81.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
0490866
12265736
25001722

prune369.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize18.0ms

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))))

rewrite155.0ms

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×expm1-log1p-u log1p-expm1-u 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 → 112
Calls
4 calls:
3.0ms
(/ (* t t) 2.0)
12.0ms
(* (- (* x 0.5) y) (sqrt z))
104.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))
32.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))

series730.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(/ (* t t) 2.0)
63.0ms
(* (- (* x 0.5) y) (sqrt z))
161.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))
471.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))

simplify89.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 2 (77.0ms)

IterNodesCost
05351255
12509969
25001894

prune436.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0.0b

regimes667.0ms

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02010
12010

end0.0ms

sample2.5s

Algorithm
intervals
Results
803.0ms18220×body80valid
783.0ms17999×body80nan