Details

Time bar (total: 8.0s)

sample97.0ms

Algorithm
intervals
Results
31.0ms646×body80nan
26.0ms599×body80valid

simplify109.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
0269
1439
2929
31869
43419
57039
621679
750019

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.7b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
14×pow1
11×add-sqr-sqrt add-cbrt-cube
9×add-exp-log add-cube-cbrt *-un-lft-identity
7×exp-prod associate-*r*
6×associate-*l/
5×pow-prod-down add-log-exp
4×expm1-log1p-u associate-*l* prod-exp cbrt-unprod log1p-expm1-u
3×times-frac
2×flip3-- sqrt-pow1 sqrt-prod *-commutative flip--
1×pow1/2 div-inv rem-exp-log unswap-sqr
Counts
4 → 75
Calls
4 calls:
3.0ms
(exp (/ (* t t) 2.0))
40.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
2.0ms
(sqrt (* z 2.0))
16.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series389.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(exp (/ (* t t) 2.0))
194.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
54.0ms
(sqrt (* z 2.0))
118.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify67.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
0485643
11739551
25001541

prune331.0ms

Filtered
87 candidates to 70 candidates (80.5%)
Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
14×pow1
11×add-sqr-sqrt add-cbrt-cube
9×add-exp-log add-cube-cbrt *-un-lft-identity
7×exp-prod associate-*l*
5×pow-prod-down add-log-exp
4×expm1-log1p-u associate-*r* prod-exp cbrt-unprod log1p-expm1-u
3×times-frac
2×sqrt-pow1 associate-*l/ sqrt-prod *-commutative
1×flip3-- pow1/2 flip-- div-inv rem-exp-log unswap-sqr
Counts
4 → 73
Calls
4 calls:
20.0ms
(* (sqrt (* z 2.0)) (exp (/ (* t t) 2.0)))
3.0ms
(exp (/ (* t t) 2.0))
2.0ms
(sqrt (* z 2.0))
51.0ms
(* (- (* x 0.5) y) (* (sqrt (* z 2.0)) (exp (/ (* t t) 2.0))))

series385.0ms

Counts
4 → 12
Calls
4 calls:
113.0ms
(* (sqrt (* z 2.0)) (exp (/ (* t t) 2.0)))
22.0ms
(exp (/ (* t t) 2.0))
60.0ms
(sqrt (* z 2.0))
190.0ms
(* (- (* x 0.5) y) (* (sqrt (* z 2.0)) (exp (/ (* t t) 2.0))))

simplify68.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
0482687
11700590
25001576

prune332.0ms

Filtered
85 candidates to 68 candidates (80.0%)
Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt
17×add-exp-log add-cube-cbrt *-un-lft-identity
13×pow-unpow
11×add-cbrt-cube
10×pow1 prod-exp
9×times-frac
8×associate-*r*
7×unpow-prod-down associate-*l*
4×expm1-log1p-u pow-pow cbrt-unprod log1p-expm1-u add-log-exp
3×pow-to-exp exp-prod pow-exp unswap-sqr sqr-pow
2×sqrt-pow1 pow-prod-down associate-*l/ sqrt-prod *-commutative
1×flip3-- pow1/2 flip-- div-inv
Counts
4 → 96
Calls
4 calls:
3.0ms
(pow (exp t) (/ t 2.0))
12.0ms
(* (sqrt (* z 2.0)) (pow (exp t) (/ t 2.0)))
2.0ms
(sqrt (* z 2.0))
34.0ms
(* (- (* x 0.5) y) (* (sqrt (* z 2.0)) (pow (exp t) (/ t 2.0))))

series464.0ms

Counts
4 → 12
Calls
4 calls:
57.0ms
(pow (exp t) (/ t 2.0))
135.0ms
(* (sqrt (* z 2.0)) (pow (exp t) (/ t 2.0)))
58.0ms
(sqrt (* z 2.0))
214.0ms
(* (- (* x 0.5) y) (* (sqrt (* z 2.0)) (pow (exp t) (/ t 2.0))))

simplify85.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (74.0ms)

IterNodesCost
0605842
12291742
25002734

prune421.0ms

Filtered
108 candidates to 84 candidates (77.8%)
Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite350.0ms

Algorithm
rewrite-expression-head
Rules
52×cbrt-prod
42×add-sqr-sqrt
37×pow1
29×add-exp-log
20×unpow-prod-down
19×pow-prod-down add-cbrt-cube
18×add-cube-cbrt *-un-lft-identity
17×associate-*l* prod-exp cbrt-unprod
16×unswap-sqr
12×associate-*r* sqr-pow
10×swap-sqr
6×pow1/3
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×*-commutative
2×sqrt-pow1 associate-*l/ sqrt-prod pow-sqr pow-prod-up
1×pow2 flip3-- pow-plus pow1/2 flip--
Counts
4 → 131
Calls
4 calls:
16.0ms
(* (cbrt (pow (exp t) (/ t 2.0))) (cbrt (pow (exp t) (/ t 2.0))))
81.0ms
(* (sqrt (* z 2.0)) (* (* (cbrt (pow (exp t) (/ t 2.0))) (cbrt (pow (exp t) (/ t 2.0)))) (cbrt (pow (exp t) (/ t 2.0)))))
2.0ms
(sqrt (* z 2.0))
245.0ms
(* (- (* x 0.5) y) (* (sqrt (* z 2.0)) (* (* (cbrt (pow (exp t) (/ t 2.0))) (cbrt (pow (exp t) (/ t 2.0)))) (cbrt (pow (exp t) (/ t 2.0))))))

series669.0ms

Counts
4 → 12
Calls
4 calls:
234.0ms
(* (cbrt (pow (exp t) (/ t 2.0))) (cbrt (pow (exp t) (/ t 2.0))))
144.0ms
(* (sqrt (* z 2.0)) (* (* (cbrt (pow (exp t) (/ t 2.0))) (cbrt (pow (exp t) (/ t 2.0)))) (cbrt (pow (exp t) (/ t 2.0)))))
62.0ms
(sqrt (* z 2.0))
228.0ms
(* (- (* x 0.5) y) (* (sqrt (* z 2.0)) (* (* (cbrt (pow (exp t) (/ t 2.0))) (cbrt (pow (exp t) (/ t 2.0)))) (cbrt (pow (exp t) (/ t 2.0))))))

simplify108.0ms

Algorithm
egg-herbie
Counts
143 → 143
Iterations

Useful iterations: 2 (89.0ms)

IterNodesCost
06362257
124601811
250011627

prune531.0ms

Filtered
143 candidates to 97 candidates (67.8%)
Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

regimes819.0ms

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 (1.0ms)

IterNodesCost
02521
12521

end0.0ms

sample2.5s

Algorithm
intervals
Results
769.0ms17690×body80valid
762.0ms17527×body80nan