Details

Time bar (total: 3.2s)

sample16.0ms

Algorithm
intervals
Results
6.0ms294×body80valid

simplify29.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0154
1314
2714
31364
42114
52854
63504
73964
84084
94084

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite103.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
10×pow1 add-exp-log *-un-lft-identity add-cbrt-cube
7×associate-*l*
6×add-cube-cbrt associate-*r* associate-*l/
5×add-log-exp
4×pow-prod-down prod-exp cbrt-unprod difference-of-squares
3×flip3-- flip--
2×times-frac *-commutative distribute-lft-out--
1×sub-neg diff-log unswap-sqr
Counts
3 → 58
Calls
3 calls:
9.0ms
(- x (/ 16.0 116.0))
39.0ms
(* (- x (/ 16.0 116.0)) 3.0)
53.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

series96.0ms

Counts
3 → 9
Calls
3 calls:
20.0ms
(- x (/ 16.0 116.0))
41.0ms
(* (- x (/ 16.0 116.0)) 3.0)
35.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

simplify96.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0223336
1883287
24460287
35001287

prune117.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(- x (/ 16.0 116.0))
0.3b
(* (- x (/ 16.0 116.0)) (* 3.0 y))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
7×pow1 add-exp-log *-un-lft-identity add-cbrt-cube
6×associate-*l*
4×add-log-exp difference-of-squares
3×add-cube-cbrt pow-prod-down prod-exp cbrt-unprod
2×flip3-- times-frac associate-*l/ flip-- distribute-lft-out--
1×sub-neg diff-log associate-*r* *-commutative
Counts
2 → 38
Calls
2 calls:
9.0ms
(- x (/ 16.0 116.0))
49.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 y))

series56.0ms

Counts
2 → 6
Calls
2 calls:
21.0ms
(- x (/ 16.0 116.0))
36.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 y))

simplify68.0ms

Algorithm
egg-herbie
Counts
44 → 44
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0187232
1601197
22588197
35002197

prune82.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* (* (- x (/ 16.0 116.0)) 3.0) y)) (cbrt (* (* (- x (/ 16.0 116.0)) 3.0) y)))
0.6b
(cbrt (* (* (- x (/ 16.0 116.0)) 3.0) y))
0.6b
(cbrt (* (* (- x (/ 16.0 116.0)) 3.0) y))
0.6b
(cbrt (* (* (- x (/ 16.0 116.0)) 3.0) y))

rewrite186.0ms

Algorithm
rewrite-expression-head
Rules
38×associate-*l/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
9×flip3-- pow1/3 flip--
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×frac-times swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×associate-*r/ pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 72
Calls
4 calls:
53.0ms
(* (cbrt (* (* (- x (/ 16.0 116.0)) 3.0) y)) (cbrt (* (* (- x (/ 16.0 116.0)) 3.0) y)))
44.0ms
(cbrt (* (* (- x (/ 16.0 116.0)) 3.0) y))
43.0ms
(cbrt (* (* (- x (/ 16.0 116.0)) 3.0) y))
44.0ms
(cbrt (* (* (- x (/ 16.0 116.0)) 3.0) y))

series538.0ms

Counts
4 → 12
Calls
4 calls:
176.0ms
(* (cbrt (* (* (- x (/ 16.0 116.0)) 3.0) y)) (cbrt (* (* (- x (/ 16.0 116.0)) 3.0) y)))
122.0ms
(cbrt (* (* (- x (/ 16.0 116.0)) 3.0) y))
123.0ms
(cbrt (* (* (- x (/ 16.0 116.0)) 3.0) y))
117.0ms
(cbrt (* (* (- x (/ 16.0 116.0)) 3.0) y))

simplify54.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
04841219
116251140
250011029

prune263.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (/ 16.0 116.0) (/ 16.0 116.0)) (* x (/ 16.0 116.0)))
0.1b
(* x (/ 16.0 116.0))
4.1b
(* (- (pow x 3) (pow (/ 16.0 116.0) 3)) (* 3.0 y))
15.3b
(/ (* (- (pow x 3) (pow (/ 16.0 116.0) 3)) (* 3.0 y)) (+ (* x x) (+ (* (/ 16.0 116.0) (/ 16.0 116.0)) (* x (/ 16.0 116.0)))))

rewrite313.0ms

Algorithm
rewrite-expression-head
Rules
66×add-sqr-sqrt
36×associate-*l*
25×*-un-lft-identity
24×difference-of-squares
23×add-exp-log add-cbrt-cube
21×times-frac
18×unpow-prod-down cube-prod
15×add-cube-cbrt
14×associate-*r*
11×pow1
10×sqr-pow
8×prod-exp cbrt-unprod
6×add-log-exp
5×associate-*r/ associate-*l/ distribute-lft-out--
4×cbrt-undiv div-exp pow-prod-down
3×frac-add associate-/r*
2×flip3-- flip3-+ associate-/r/ *-commutative flip-- flip-+ div-inv associate-/l/ unswap-sqr
1×difference-cubes +-commutative frac-times distribute-rgt-out frac-2neg clear-num sum-log associate-/l*
Counts
4 → 124
Calls
4 calls:
13.0ms
(+ (* (/ 16.0 116.0) (/ 16.0 116.0)) (* x (/ 16.0 116.0)))
13.0ms
(* x (/ 16.0 116.0))
158.0ms
(* (- (pow x 3) (pow (/ 16.0 116.0) 3)) (* 3.0 y))
124.0ms
(/ (* (- (pow x 3) (pow (/ 16.0 116.0) 3)) (* 3.0 y)) (+ (* x x) (+ (* (/ 16.0 116.0) (/ 16.0 116.0)) (* x (/ 16.0 116.0)))))

series175.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(+ (* (/ 16.0 116.0) (/ 16.0 116.0)) (* x (/ 16.0 116.0)))
14.0ms
(* x (/ 16.0 116.0))
45.0ms
(* (- (pow x 3) (pow (/ 16.0 116.0) 3)) (* 3.0 y))
83.0ms
(/ (* (- (pow x 3) (pow (/ 16.0 116.0) 3)) (* 3.0 y)) (+ (* x x) (+ (* (/ 16.0 116.0) (/ 16.0 116.0)) (* x (/ 16.0 116.0)))))

simplify89.0ms

Algorithm
egg-herbie
Counts
136 → 136
Iterations

Useful iterations: 2 (76.0ms)

IterNodesCost
07051259
134151063
250011046

prune321.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes133.0ms

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

sample399.0ms

Algorithm
intervals
Results
199.0ms9115×body80valid