Details

Time bar (total: 7.6s)

sample124.0ms

Algorithm
intervals
Results
45.0ms564×body80valid
42.0ms571×body80nan

simplify81.0ms

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: 0.5b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
11×add-exp-log add-cbrt-cube
10×add-cube-cbrt *-un-lft-identity
9×pow1
7×exp-prod
6×times-frac
5×add-log-exp
4×expm1-log1p-u associate-*r* log1p-expm1-u
3×associate-*l* associate-/r*
2×cbrt-undiv sqrt-pow1 div-exp pow-prod-down associate-*l/ prod-exp sqrt-prod cbrt-unprod div-inv
1×flip3-- frac-2neg pow1/2 clear-num *-commutative flip-- rem-exp-log associate-/l* unswap-sqr
Counts
4 → 76
Calls
4 calls:
5.0ms
(/ (* t t) 2.0)
2.0ms
(exp (/ (* t t) 2.0))
2.0ms
(sqrt (* z 2.0))
14.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series205.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(/ (* t t) 2.0)
23.0ms
(exp (/ (* t t) 2.0))
50.0ms
(sqrt (* z 2.0))
106.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify50.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0428427
11518371
25001364

prune298.0ms

Pruning

10 alts after pruning (10 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
(exp (/ (* t t) 2.0))
0.3b
(* (- (* x 0.5) y) (sqrt z))
0.5b
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
16×add-exp-log add-cbrt-cube
13×add-cube-cbrt *-un-lft-identity
12×associate-*r*
11×pow1
7×exp-prod sqrt-prod
6×times-frac associate-*l/
5×prod-exp cbrt-unprod add-log-exp
4×expm1-log1p-u associate-*l* pow-prod-down log1p-expm1-u
3×associate-/r*
2×cbrt-undiv flip3-- div-exp *-commutative flip-- div-inv unswap-sqr
1×frac-2neg clear-num rem-exp-log associate-/l*
Counts
4 → 91
Calls
4 calls:
3.0ms
(/ (* t t) 2.0)
2.0ms
(exp (/ (* t t) 2.0))
12.0ms
(* (- (* x 0.5) y) (sqrt z))
21.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series246.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(/ (* t t) 2.0)
22.0ms
(exp (/ (* t t) 2.0))
58.0ms
(* (- (* x 0.5) y) (sqrt z))
141.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify49.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0408567
11687495
25002487

prune311.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite109.0ms

Algorithm
rewrite-expression-head
Rules
46×add-exp-log
29×prod-exp
25×add-cbrt-cube
19×associate-*r*
17×add-sqr-sqrt
13×add-cube-cbrt *-un-lft-identity
12×associate-*l/
11×pow1 cbrt-unprod
7×sqrt-prod
6×pow-exp
5×associate-*l*
4×expm1-log1p-u pow-prod-down log1p-expm1-u add-log-exp
3×pow-to-exp unpow-prod-down e-exp-1 flip3-- times-frac associate-/r* *-commutative flip--
2×cbrt-undiv div-exp unswap-sqr
1×frac-2neg clear-num div-inv associate-/l* sqr-pow
Counts
4 → 109
Calls
4 calls:
71.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (pow E (/ (* t t) 2.0)))
3.0ms
(/ (* t t) 2.0)
12.0ms
(* (- (* x 0.5) y) (sqrt z))
20.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series434.0ms

Counts
4 → 12
Calls
4 calls:
209.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (pow E (/ (* t t) 2.0)))
31.0ms
(/ (* t t) 2.0)
59.0ms
(* (- (* x 0.5) y) (sqrt z))
135.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify74.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
0555961
12682833
25001814

prune351.0ms

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

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
27×add-exp-log
16×add-cbrt-cube
14×prod-exp
12×add-sqr-sqrt
11×associate-*r*
10×add-cube-cbrt *-un-lft-identity
9×pow1
6×associate-*l/
5×cbrt-unprod
4×expm1-log1p-u associate-*l* pow-exp log1p-expm1-u add-log-exp
3×unpow-prod-down times-frac associate-/r*
2×cbrt-undiv pow-to-exp e-exp-1 flip3-- sqrt-pow1 div-exp pow-prod-down sqrt-prod *-commutative flip--
1×frac-2neg pow1/2 clear-num div-inv associate-/l* unswap-sqr sqr-pow
Counts
4 → 89
Calls
4 calls:
36.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow E (/ (* t t) 2.0)))
3.0ms
(/ (* t t) 2.0)
2.0ms
(sqrt (* z 2.0))
14.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series363.0ms

Counts
4 → 12
Calls
4 calls:
181.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow E (/ (* t t) 2.0)))
29.0ms
(/ (* t t) 2.0)
48.0ms
(sqrt (* z 2.0))
105.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify61.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0593724
12404628
25001613

prune276.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes647.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02310
12510
22510

end0.0ms

sample3.7s

Algorithm
intervals
Results
1.4s17827×body80valid
1.3s17993×body80nan