Details

Time bar (total: 3.2s)

sample22.0ms

Algorithm
intervals
Results
14.0ms291×body80valid

simplify28.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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: 0.5b

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)
0.4b
(* (* (- x (/ 16.0 116.0)) 3.0) y)

rewrite61.0ms

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))
22.0ms
(* (- x (/ 16.0 116.0)) 3.0)
31.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

series102.0ms

Counts
3 → 9
Calls
3 calls:
22.0ms
(- x (/ 16.0 116.0))
43.0ms
(* (- x (/ 16.0 116.0)) 3.0)
36.0ms
(* (* (- 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

prune128.0ms

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))

rewrite33.0ms

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))
26.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 y))

series61.0ms

Counts
2 → 6
Calls
2 calls:
21.0ms
(- x (/ 16.0 116.0))
39.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 y))

simplify64.0ms

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:

0.4b
(* (* (* (cbrt (* (- x (/ 16.0 116.0)) 3.0)) (cbrt (* (- x (/ 16.0 116.0)) 3.0))) (cbrt (* (- x (/ 16.0 116.0)) 3.0))) y)
0.5b
(cbrt (* (- x (/ 16.0 116.0)) 3.0))
0.5b
(cbrt (* (- x (/ 16.0 116.0)) 3.0))
0.5b
(cbrt (* (- x (/ 16.0 116.0)) 3.0))

rewrite111.0ms

Algorithm
rewrite-expression-head
Rules
100×associate-*l/
60×cbrt-div
30×flip3-- flip--
28×frac-times
13×pow1 add-exp-log
9×add-cbrt-cube
8×associate-*r/
6×pow-prod-down prod-exp cbrt-unprod
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×add-log-exp
3×cbrt-prod pow1/3 associate-*r*
1×associate-*l* *-commutative
Counts
4 → 80
Calls
4 calls:
86.0ms
(* (* (* (cbrt (* (- x (/ 16.0 116.0)) 3.0)) (cbrt (* (- x (/ 16.0 116.0)) 3.0))) (cbrt (* (- x (/ 16.0 116.0)) 3.0))) y)
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))

series487.0ms

Counts
4 → 12
Calls
4 calls:
95.0ms
(* (* (* (cbrt (* (- x (/ 16.0 116.0)) 3.0)) (cbrt (* (- x (/ 16.0 116.0)) 3.0))) (cbrt (* (- x (/ 16.0 116.0)) 3.0))) y)
131.0ms
(cbrt (* (- x (/ 16.0 116.0)) 3.0))
128.0ms
(cbrt (* (- x (/ 16.0 116.0)) 3.0))
132.0ms
(cbrt (* (- x (/ 16.0 116.0)) 3.0))

simplify50.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
04851349
115221163
250011064

prune268.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (* (cbrt (* (- x (/ 16.0 116.0)) 3.0)) (cbrt (* (- x (/ 16.0 116.0)) 3.0))) (* (cbrt (* (- x (/ 16.0 116.0)) 3.0)) y))
0.5b
(cbrt (* (- x (/ 16.0 116.0)) 3.0))
0.5b
(cbrt (* (- x (/ 16.0 116.0)) 3.0))
0.5b
(cbrt (* (- x (/ 16.0 116.0)) 3.0))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
92×associate-*l/
60×cbrt-div
30×flip3-- flip--
28×frac-times
16×pow1 add-exp-log
10×add-cbrt-cube
8×associate-*r/ pow-prod-down prod-exp cbrt-unprod
4×add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-log-exp
3×cbrt-prod pow1/3
1×associate-*r* associate-*l* *-commutative
Counts
4 → 81
Calls
4 calls:
39.0ms
(* (* (cbrt (* (- x (/ 16.0 116.0)) 3.0)) (cbrt (* (- x (/ 16.0 116.0)) 3.0))) (* (cbrt (* (- x (/ 16.0 116.0)) 3.0)) y))
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))

series480.0ms

Counts
4 → 12
Calls
4 calls:
95.0ms
(* (* (cbrt (* (- x (/ 16.0 116.0)) 3.0)) (cbrt (* (- x (/ 16.0 116.0)) 3.0))) (* (cbrt (* (- x (/ 16.0 116.0)) 3.0)) y))
125.0ms
(cbrt (* (- x (/ 16.0 116.0)) 3.0))
132.0ms
(cbrt (* (- x (/ 16.0 116.0)) 3.0))
128.0ms
(cbrt (* (- x (/ 16.0 116.0)) 3.0))

simplify56.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
05101633
114951404
250011324

prune213.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0.0b

regimes156.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0114
1114

end0.0ms

sample598.0ms

Algorithm
intervals
Results
449.0ms9183×body80valid