Details

Time bar (total: 3.2s)

sample16.0ms

Algorithm
intervals
Results
7.0ms300×body80valid

simplify35.0ms

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)

rewrite62.0ms

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:
5.0ms
(- x (/ 16.0 116.0))
22.0ms
(* (- x (/ 16.0 116.0)) 3.0)
32.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

series110.0ms

Counts
3 → 9
Calls
3 calls:
28.0ms
(- x (/ 16.0 116.0))
42.0ms
(* (- x (/ 16.0 116.0)) 3.0)
41.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

simplify94.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0223336
1883287
24460287
35001287

prune119.0ms

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

rewrite32.0ms

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:
5.0ms
(- x (/ 16.0 116.0))
25.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 y))

series65.0ms

Counts
2 → 6
Calls
2 calls:
24.0ms
(- x (/ 16.0 116.0))
41.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 y))

simplify72.0ms

Algorithm
egg-herbie
Counts
44 → 44
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0187232
1601197
22588197
35002197

prune91.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
20×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:
11.0ms
(* (cbrt (* (- x (/ 16.0 116.0)) 3.0)) (cbrt (* (- x (/ 16.0 116.0)) 3.0)))
7.0ms
(cbrt (* (- x (/ 16.0 116.0)) 3.0))
7.0ms
(cbrt (* (- x (/ 16.0 116.0)) 3.0))
7.0ms
(cbrt (* (- x (/ 16.0 116.0)) 3.0))

series603.0ms

Counts
4 → 12
Calls
4 calls:
183.0ms
(* (cbrt (* (- x (/ 16.0 116.0)) 3.0)) (cbrt (* (- x (/ 16.0 116.0)) 3.0)))
137.0ms
(cbrt (* (- x (/ 16.0 116.0)) 3.0))
143.0ms
(cbrt (* (- x (/ 16.0 116.0)) 3.0))
141.0ms
(cbrt (* (- x (/ 16.0 116.0)) 3.0))

simplify53.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0414896
11514818
25001764

prune290.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (* (- x (/ 16.0 116.0)) 3.0))
0.2b
(cbrt (* (- x (/ 16.0 116.0)) 3.0))
0.8b
(* (cbrt (- x (/ 16.0 116.0))) (cbrt 3.0))
0.8b
(cbrt (- x (/ 16.0 116.0)))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
21×cbrt-prod
13×*-un-lft-identity
9×add-cube-cbrt associate-*l*
8×cbrt-div
6×pow1 add-exp-log associate-*r* associate-*l/
5×pow1/3
4×flip3-- add-cbrt-cube flip-- add-log-exp difference-of-squares unswap-sqr
2×times-frac pow-prod-down distribute-lft-out--
1×prod-exp *-commutative cbrt-unprod
Counts
4 → 71
Calls
4 calls:
10.0ms
(cbrt (* (- x (/ 16.0 116.0)) 3.0))
7.0ms
(cbrt (* (- x (/ 16.0 116.0)) 3.0))
25.0ms
(* (cbrt (- x (/ 16.0 116.0))) (cbrt 3.0))
5.0ms
(cbrt (- x (/ 16.0 116.0)))

series521.0ms

Counts
4 → 12
Calls
4 calls:
135.0ms
(cbrt (* (- x (/ 16.0 116.0)) 3.0))
133.0ms
(cbrt (* (- x (/ 16.0 116.0)) 3.0))
148.0ms
(* (cbrt (- x (/ 16.0 116.0))) (cbrt 3.0))
105.0ms
(cbrt (- x (/ 16.0 116.0)))

simplify116.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 3 (108.0ms)

IterNodesCost
0417744
11181699
24070670
35002663

prune289.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes165.0ms

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

sample360.0ms

Algorithm
intervals
Results
207.0ms9158×body80valid