Details

Time bar (total: 8.3s)

sample129.0ms

Algorithm
intervals
Results
46.0ms562×body80nan
43.0ms553×body80valid

simplify95.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
0269
1439
2929
31869
43419
57039
621679
750019

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize13.0ms

Local error

Found 3 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
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
15×add-cbrt-cube
13×add-exp-log
10×pow1 add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
7×associate-*r*
6×associate-*l/
5×prod-exp cbrt-unprod
4×associate-*l* pow-prod-down
3×expm1-log1p-u times-frac associate-/r* log1p-expm1-u add-log-exp
2×cbrt-undiv flip3-- div-exp *-commutative flip--
1×frac-2neg clear-num sqrt-prod div-inv associate-/l* unswap-sqr
Counts
3 → 68
Calls
3 calls:
3.0ms
(/ (* t t) 2.0)
41.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
15.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series329.0ms

Counts
3 → 9
Calls
3 calls:
27.0ms
(/ (* t t) 2.0)
186.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
115.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify64.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
0432581
11713493
25002486

prune290.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
15×add-cbrt-cube
13×add-exp-log
10×pow1 add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
7×associate-*l*
5×prod-exp cbrt-unprod
4×associate-*r* pow-prod-down
3×expm1-log1p-u times-frac associate-/r* log1p-expm1-u add-log-exp
2×cbrt-undiv div-exp associate-*l/ *-commutative
1×flip3-- frac-2neg clear-num sqrt-prod flip-- div-inv associate-/l* unswap-sqr
Counts
3 → 66
Calls
3 calls:
4.0ms
(/ (* t t) 2.0)
19.0ms
(* (sqrt (* z 2.0)) (exp (/ (* t t) 2.0)))
49.0ms
(* (- (* x 0.5) y) (* (sqrt (* z 2.0)) (exp (/ (* t t) 2.0))))

series340.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(/ (* t t) 2.0)
114.0ms
(* (sqrt (* z 2.0)) (exp (/ (* t t) 2.0)))
189.0ms
(* (- (* x 0.5) y) (* (sqrt (* z 2.0)) (exp (/ (* t t) 2.0))))

simplify68.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
0472627
11842535
25001523

prune282.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite249.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log add-cbrt-cube
20×pow1
16×add-sqr-sqrt
12×add-cube-cbrt *-un-lft-identity
11×pow-prod-down
9×prod-exp cbrt-unprod
7×associate-*r* associate-*l*
6×times-frac associate-/r*
5×sqrt-prod
4×cbrt-undiv expm1-log1p-u sqrt-pow1 div-exp log1p-expm1-u add-log-exp
2×frac-2neg pow1/2 associate-*l/ clear-num *-commutative div-inv associate-/l* unswap-sqr
1×flip3-- sqrt-unprod flip--
Counts
4 → 100
Calls
4 calls:
4.0ms
(/ (* t t) 2.0)
6.0ms
(/ (* t t) 2.0)
19.0ms
(* (sqrt (* z 2.0)) (sqrt (exp (/ (* t t) 2.0))))
217.0ms
(* (- (* x 0.5) y) (* (* (sqrt (* z 2.0)) (sqrt (exp (/ (* t t) 2.0)))) (sqrt (exp (/ (* t t) 2.0)))))

series358.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(/ (* t t) 2.0)
36.0ms
(/ (* t t) 2.0)
108.0ms
(* (sqrt (* z 2.0)) (sqrt (exp (/ (* t t) 2.0))))
187.0ms
(* (- (* x 0.5) y) (* (* (sqrt (* z 2.0)) (sqrt (exp (/ (* t t) 2.0)))) (sqrt (exp (/ (* t t) 2.0)))))

simplify72.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
0552942
12243788
25002767

prune648.0ms

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

rewrite122.0ms

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)
80.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
12.0ms
(* (- (* x 0.5) y) (sqrt z))
24.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series457.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(/ (* t t) 2.0)
216.0ms
(* (* (* (- (* 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))

simplify84.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (73.0ms)

IterNodesCost
0490866
12265736
25001722

prune315.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes419.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02215
12215

end0.0ms

sample3.8s

Algorithm
intervals
Results
1.4s17977×body80valid
1.3s17824×body80nan