Details

Time bar (total: 2.4s)

sample14.0ms

Algorithm
intervals
Results
6.0ms289×body80valid

simplify45.0ms

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

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)

rewrite64.0ms

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:
30.0ms
(* (- x (/ 16.0 116.0)) 3.0)
32.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

series88.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(* (- x (/ 16.0 116.0)) 3.0)
39.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

simplify104.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0204277
1862233
24488233
35001233

prune111.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite31.0ms

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:
30.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 y))

series44.0ms

Counts
1 → 3
Calls
1 calls:
44.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 y))

simplify74.0ms

Algorithm
egg-herbie
Counts
28 → 28
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0165165
1575135
22608135
35001135

prune58.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0)))
0.7b
(* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) 3.0)
3.0b
(* (* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) 3.0) y)
9.6b
(/ (* (* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) 3.0) y) (+ x (/ 16.0 116.0)))

rewrite62.0ms

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:
3.0ms
(- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0)))
11.0ms
(* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) 3.0)
17.0ms
(* (* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) 3.0) y)
28.0ms
(/ (* (* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) 3.0) y) (+ x (/ 16.0 116.0)))

series246.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0)))
76.0ms
(* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) 3.0)
58.0ms
(* (* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) 3.0) y)
69.0ms
(/ (* (* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) 3.0) y) (+ x (/ 16.0 116.0)))

simplify73.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
04091022
12170841
25001837

prune244.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0)))
0.1b
(/ y (+ x (/ 16.0 116.0)))
0.7b
(* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) 3.0)
12.5b
(* (* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) 3.0) (/ y (+ x (/ 16.0 116.0))))

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
37×*-un-lft-identity
25×add-sqr-sqrt
24×times-frac
23×add-cube-cbrt
21×associate-*r*
20×add-exp-log add-cbrt-cube
11×pow1
8×associate-*l/
7×prod-exp cbrt-unprod distribute-lft-out
6×add-log-exp
5×associate-*l*
4×expm1-log1p-u flip3-- pow-prod-down associate-/r* associate-/r/ flip-- log1p-expm1-u
3×cbrt-undiv div-exp associate-/l*
2×frac-times flip3-+ *-commutative flip-+ div-inv difference-of-squares
1×sub-neg frac-2neg fma-neg diff-log associate-*r/ prod-diff clear-num unswap-sqr
Counts
4 → 119
Calls
4 calls:
3.0ms
(- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0)))
14.0ms
(/ y (+ x (/ 16.0 116.0)))
11.0ms
(* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) 3.0)
43.0ms
(* (* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) 3.0) (/ y (+ x (/ 16.0 116.0))))

series235.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0)))
36.0ms
(/ y (+ x (/ 16.0 116.0)))
77.0ms
(* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) 3.0)
72.0ms
(* (* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) 3.0) (/ y (+ x (/ 16.0 116.0))))

simplify84.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
05051201
125581025
250011017

prune285.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes128.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0114
1114

end0.0ms

sample336.0ms

Algorithm
intervals
Results
191.0ms9127×body80valid