Details

Time bar (total: 2.7s)

sample18.0ms

Algorithm
intervals
Results
8.0ms294×body80valid

simplify50.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0154
1314
2734
31514
42414
53264
63974
74574
84774
94804
104804

prune2.0ms

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: 0.2b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- x (/ 16.0 116.0)) 3.0)
0.2b
(* (* (- x (/ 16.0 116.0)) 3.0) y)

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
9×pow1 add-exp-log add-cbrt-cube
7×*-un-lft-identity associate-*l*
6×associate-*r* associate-*l/
5×add-cube-cbrt
4×pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u flip3-- *-commutative flip-- log1p-expm1-u add-log-exp difference-of-squares
1×times-frac distribute-lft-out-- unswap-sqr
Counts
2 → 47
Calls
2 calls:
9.0ms
(* (- x (/ 16.0 116.0)) 3.0)
10.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

series92.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(* (- x (/ 16.0 116.0)) 3.0)
48.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

simplify111.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0204277
1862233
24488233
35001233

prune109.0ms

Filtered
53 candidates to 36 candidates (67.9%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New47653
Fresh000
Picked011
Done000
Total47754

Merged error: 0.0b

Counts
54 → 7

localize7.0ms

Local error

Found 1 expressions with local error:

0.3b
(* (- x (/ 16.0 116.0)) (* 3.0 y))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt
6×pow1 add-exp-log associate-*l* add-cbrt-cube
4×*-un-lft-identity
3×pow-prod-down prod-exp cbrt-unprod
2×add-cube-cbrt associate-*l/ difference-of-squares
1×expm1-log1p-u flip3-- times-frac associate-*r* *-commutative flip-- log1p-expm1-u distribute-lft-out-- add-log-exp
Counts
1 → 25
Calls
1 calls:
11.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 y))

series47.0ms

Counts
1 → 3
Calls
1 calls:
47.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 y))

simplify81.0ms

Algorithm
egg-herbie
Counts
28 → 28
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0165165
1575135
22608135
35001135

prune49.0ms

Filtered
28 candidates to 17 candidates (60.7%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New28028
Fresh055
Picked011
Done011
Total28735

Merged error: 0.0b

Counts
35 → 7

localize11.0ms

Local error

Found 3 expressions with local error:

0.1b
(* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0)))
0.2b
(* (* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)) y)
0.7b
(* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
31×pow1 add-exp-log
19×pow-prod-down prod-exp add-cbrt-cube cbrt-unprod
13×add-sqr-sqrt
12×associate-*l/
10×associate-*r*
9×*-un-lft-identity
8×associate-*l*
7×add-cube-cbrt
3×cbrt-prod expm1-log1p-u flip3-- *-commutative flip-- log1p-expm1-u add-log-exp
2×difference-of-squares
1×times-frac distribute-lft-out-- unswap-sqr
Counts
3 → 82
Calls
3 calls:
14.0ms
(* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0)))
19.0ms
(* (* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)) y)
22.0ms
(* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

series635.0ms

Counts
3 → 9
Calls
3 calls:
131.0ms
(* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0)))
363.0ms
(* (* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)) y)
141.0ms
(* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

simplify72.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
0343829
11690636
25001588

prune173.0ms

Filtered
91 candidates to 58 candidates (63.7%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New91091
Fresh044
Picked011
Done022
Total91798

Merged error: 0.0b

Counts
98 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0)))
0.6b
(* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) 3.0)
3.9b
(* (* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) 3.0) y)
11.0b
(/ (* (* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) 3.0) y) (+ x (/ 16.0 116.0)))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
20×add-exp-log add-cbrt-cube
13×*-un-lft-identity
11×pow1 add-sqr-sqrt
10×associate-*l/
9×add-cube-cbrt
7×prod-exp cbrt-unprod
6×associate-*r* add-log-exp
5×associate-*l*
4×expm1-log1p-u flip3-- times-frac pow-prod-down associate-/r* flip-- log1p-expm1-u
3×cbrt-undiv div-exp
2×associate-/r/ *-commutative associate-/l/ distribute-lft-out difference-of-squares
1×sub-neg frac-2neg flip3-+ fma-neg diff-log prod-diff clear-num flip-+ div-inv associate-/l* unswap-sqr
Counts
4 → 93
Calls
4 calls:
4.0ms
(- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0)))
6.0ms
(* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) 3.0)
8.0ms
(* (* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) 3.0) y)
14.0ms
(/ (* (* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) 3.0) y) (+ x (/ 16.0 116.0)))

series254.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0)))
76.0ms
(* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) 3.0)
54.0ms
(* (* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) 3.0) y)
73.0ms
(/ (* (* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) 3.0) y) (+ x (/ 16.0 116.0)))

simplify87.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 2 (73.0ms)

IterNodesCost
04091022
12170841
25001837

prune211.0ms

Filtered
105 candidates to 74 candidates (70.5%)
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New1041105
Fresh123
Picked011
Done033
Total1057112

Merged error: 0b

Counts
112 → 7

regimes136.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0114
1114

end0.0ms

sample424.0ms

Algorithm
intervals
Results
268.0ms9185×body80valid