Details

Time bar (total: 3.8s)

sample26.0ms

Algorithm
intervals
Results
17.0ms298×body80valid

simplify30.0ms

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: 0.1b

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

rewrite64.0ms

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:
6.0ms
(- x (/ 16.0 116.0))
27.0ms
(* (- x (/ 16.0 116.0)) 3.0)
29.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

series104.0ms

Counts
3 → 9
Calls
3 calls:
23.0ms
(- x (/ 16.0 116.0))
43.0ms
(* (- x (/ 16.0 116.0)) 3.0)
38.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

simplify107.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0223336
1883287
24460287
35001287

prune127.0ms

Pruning

7 alts after pruning (6 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))

rewrite34.0ms

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:
6.0ms
(- x (/ 16.0 116.0))
27.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 y))

series60.0ms

Counts
2 → 6
Calls
2 calls:
22.0ms
(- x (/ 16.0 116.0))
38.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 y))

simplify69.0ms

Algorithm
egg-herbie
Counts
44 → 44
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0187232
1601197
22588197
35002197

prune78.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt y) (cbrt y))
0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
6.0ms
(* (cbrt y) (cbrt y))
0.0ms
(cbrt y)
0.0ms
(cbrt y)
1.0ms
(cbrt y)

series744.0ms

Counts
4 → 12
Calls
4 calls:
193.0ms
(* (cbrt y) (cbrt y))
199.0ms
(cbrt y)
181.0ms
(cbrt y)
171.0ms
(cbrt y)

simplify90.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (85.0ms)

IterNodesCost
0115288
1472261
22959238
35003235

prune198.0ms

Pruning

7 alts after pruning (4 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))
0.1b
(* (/ (* (- (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)
13.6b
(/ (* (- (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)))))

rewrite384.0ms

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×associate-/r/ 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 → 136
Calls
4 calls:
120.0ms
(* (- (pow x 3) (pow (/ 16.0 116.0) 3)) 3.0)
7.0ms
(* x (/ 16.0 116.0))
179.0ms
(* (/ (* (- (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)
72.0ms
(/ (* (- (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)))))

series364.0ms

Counts
4 → 12
Calls
4 calls:
94.0ms
(* (- (pow x 3) (pow (/ 16.0 116.0) 3)) 3.0)
14.0ms
(* x (/ 16.0 116.0))
87.0ms
(* (/ (* (- (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)
169.0ms
(/ (* (- (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)))))

simplify93.0ms

Algorithm
egg-herbie
Counts
148 → 148
Iterations

Useful iterations: 2 (77.0ms)

IterNodesCost
06541558
133321290
250011262

prune395.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes126.0ms

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

sample679.0ms

Algorithm
intervals
Results
528.0ms9176×body80valid