Details

Time bar (total: 7.0s)

sample111.0ms

Algorithm
intervals
Results
37.0ms589×body80valid
33.0ms604×body80nan

simplify96.0ms

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

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.3b

Counts
2 → 1

localize12.0ms

Local error

Found 3 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 2.0)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
10×add-exp-log add-cbrt-cube
9×add-cube-cbrt *-un-lft-identity
7×exp-prod
6×times-frac
5×pow1
4×associate-*r* add-log-exp
3×expm1-log1p-u associate-*l* associate-/r* log1p-expm1-u
2×cbrt-undiv div-exp associate-*l/ prod-exp cbrt-unprod div-inv
1×flip3-- frac-2neg pow-prod-down clear-num sqrt-prod *-commutative flip-- rem-exp-log associate-/l* unswap-sqr
Counts
3 → 63
Calls
3 calls:
5.0ms
(/ (* t t) 2.0)
3.0ms
(exp (/ (* t t) 2.0))
8.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series163.0ms

Counts
3 → 9
Calls
3 calls:
27.0ms
(/ (* t t) 2.0)
25.0ms
(exp (/ (* t t) 2.0))
112.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify48.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0326353
11182309
25002307

prune236.0ms

Filtered
72 candidates to 57 candidates (79.2%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New63972
Fresh000
Picked101
Done000
Total64973

Merged error: 0.0b

Counts
73 → 9

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×add-cube-cbrt pow-unpow *-un-lft-identity
9×times-frac
5×pow1
4×add-exp-log pow-pow associate-*r* add-cbrt-cube
3×unpow-prod-down exp-prod associate-*l*
2×expm1-log1p-u associate-*l/ log1p-expm1-u add-log-exp
1×pow-to-exp flip3-- pow-prod-down pow-exp prod-exp sqrt-prod *-commutative flip-- cbrt-unprod div-inv unswap-sqr sqr-pow
Counts
2 → 55
Calls
2 calls:
5.0ms
(pow (exp t) (/ t 2.0))
9.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series172.0ms

Counts
2 → 6
Calls
2 calls:
56.0ms
(pow (exp t) (/ t 2.0))
116.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify58.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0349343
11268316
25002314

prune218.0ms

Filtered
61 candidates to 49 candidates (80.3%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New60161
Fresh178
Picked011
Done000
Total61970

Merged error: 0.0b

Counts
70 → 9

localize15.0ms

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))
0.4b
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

rewrite30.0ms

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:
5.0ms
(/ (* t t) 2.0)
3.0ms
(exp (/ (* t t) 2.0))
8.0ms
(* (- (* x 0.5) y) (sqrt z))
11.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series264.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(/ (* t t) 2.0)
26.0ms
(exp (/ (* t t) 2.0))
63.0ms
(* (- (* x 0.5) y) (sqrt z))
148.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify68.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
0408567
11687495
25002487

prune318.0ms

Filtered
103 candidates to 74 candidates (71.8%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New985103
Fresh437
Picked011
Done011
Total10210112

Merged error: 0b

Counts
112 → 10

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
36×pow1 add-exp-log
23×add-cbrt-cube
22×pow-prod-down prod-exp cbrt-unprod
16×add-sqr-sqrt associate-*r*
12×add-cube-cbrt *-un-lft-identity associate-*l/
7×exp-prod sqrt-prod
6×cbrt-prod
5×associate-*l* add-log-exp
4×expm1-log1p-u log1p-expm1-u
3×flip3-- times-frac *-commutative flip--
2×unswap-sqr
1×div-inv rem-exp-log
Counts
4 → 106
Calls
4 calls:
3.0ms
(exp (/ (* t t) 2.0))
15.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
8.0ms
(* (- (* x 0.5) y) (sqrt z))
20.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))

series721.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(exp (/ (* t t) 2.0))
484.0ms
(* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
63.0ms
(* (- (* x 0.5) y) (sqrt z))
152.0ms
(* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))

simplify91.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 2 (78.0ms)

IterNodesCost
04981242
12140969
25002894

prune338.0ms

Filtered
118 candidates to 74 candidates (62.7%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New1171118
Fresh167
Picked011
Done022
Total11810128

Merged error: 0b

Counts
128 → 10

regimes778.0ms

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
0199
1199

end0.0ms

sample3.1s

Algorithm
intervals
Results
1.1s18166×body80valid
1.0s17882×body80nan