Details

Time bar (total: 3.2s)

sample19.0ms

Algorithm
intervals
Results
10.0ms286×body80valid

simplify40.0ms

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

localize9.0ms

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)

rewrite55.0ms

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:
24.0ms
(* (- x (/ 16.0 116.0)) 3.0)
30.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

series82.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(* (- x (/ 16.0 116.0)) 3.0)
42.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

simplify98.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0204277
1862233
24488233
35001233

prune100.0ms

Pruning

6 alts after pruning (5 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))

rewrite32.0ms

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:
31.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 y))

series37.0ms

Counts
1 → 3
Calls
1 calls:
37.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 y))

simplify73.0ms

Algorithm
egg-herbie
Counts
28 → 28
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0165165
1575135
22608135
35001135

prune50.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

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)
4.4b
(* (* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) 3.0) y)
8.4b
(/ (* (* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) 3.0) y) (+ x (/ 16.0 116.0)))

rewrite205.0ms

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)))
10.0ms
(* (- (* 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)
173.0ms
(/ (* (* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) 3.0) y) (+ x (/ 16.0 116.0)))

series226.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0)))
68.0ms
(* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) 3.0)
48.0ms
(* (* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) 3.0) y)
66.0ms
(/ (* (* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) 3.0) y) (+ x (/ 16.0 116.0)))

simplify74.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
04091022
12170841
25001837

prune209.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- (pow x 3) (pow (/ 16.0 116.0) 3)) 3.0)
0.1b
(* x (/ 16.0 116.0))
0.2b
(* (/ (* (- (pow x 3) (pow (/ 16.0 116.0) 3)) 3.0) (+ (* x x) (+ (* (/ 16.0 116.0) (/ 16.0 116.0)) (* x (/ 16.0 116.0))))) y)
14.9b
(/ (* (- (pow x 3) (pow (/ 16.0 116.0) 3)) 3.0) (+ (* x x) (+ (* (/ 16.0 116.0) (/ 16.0 116.0)) (* x (/ 16.0 116.0)))))

rewrite387.0ms

Algorithm
rewrite-expression-head
Rules
74×add-sqr-sqrt
45×associate-*l*
29×*-un-lft-identity
25×add-exp-log add-cbrt-cube
24×times-frac difference-of-squares
19×add-cube-cbrt associate-*r*
18×unpow-prod-down cube-prod
10×pow1 sqr-pow
8×prod-exp cbrt-unprod
5×cbrt-undiv div-exp associate-*l/ distribute-lft-out--
4×expm1-log1p-u associate-/r/ log1p-expm1-u add-log-exp unswap-sqr
3×pow-prod-down associate-/r* *-commutative div-inv
2×flip3-- flip3-+ flip-- flip-+ associate-/l/
1×difference-cubes frac-2neg associate-*r/ clear-num associate-/l*
Counts
4 → 144
Calls
4 calls:
122.0ms
(* (- (pow x 3) (pow (/ 16.0 116.0) 3)) 3.0)
7.0ms
(* x (/ 16.0 116.0))
181.0ms
(* (/ (* (- (pow x 3) (pow (/ 16.0 116.0) 3)) 3.0) (+ (* x x) (+ (* (/ 16.0 116.0) (/ 16.0 116.0)) (* x (/ 16.0 116.0))))) y)
71.0ms
(/ (* (- (pow x 3) (pow (/ 16.0 116.0) 3)) 3.0) (+ (* x x) (+ (* (/ 16.0 116.0) (/ 16.0 116.0)) (* x (/ 16.0 116.0)))))

series362.0ms

Counts
4 → 12
Calls
4 calls:
88.0ms
(* (- (pow x 3) (pow (/ 16.0 116.0) 3)) 3.0)
14.0ms
(* x (/ 16.0 116.0))
88.0ms
(* (/ (* (- (pow x 3) (pow (/ 16.0 116.0) 3)) 3.0) (+ (* x x) (+ (* (/ 16.0 116.0) (/ 16.0 116.0)) (* x (/ 16.0 116.0))))) y)
171.0ms
(/ (* (- (pow x 3) (pow (/ 16.0 116.0) 3)) 3.0) (+ (* x x) (+ (* (/ 16.0 116.0) (/ 16.0 116.0)) (* x (/ 16.0 116.0)))))

simplify103.0ms

Algorithm
egg-herbie
Counts
156 → 156
Iterations

Useful iterations: 2 (84.0ms)

IterNodesCost
06741606
134431345
250011319

prune408.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.0b

regimes110.0ms

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

sample467.0ms

Algorithm
intervals
Results
324.0ms9185×body80valid