Details

Time bar (total: 4.1s)

sample16.0ms

Algorithm
intervals
Results
6.0ms280×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: 0.3b

localize6.0ms

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)

rewrite100.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
pow1 add-exp-log add-cbrt-cube
*-un-lft-identity associate-*l*
associate-*r* associate-*l/
add-cube-cbrt
pow-prod-down prod-exp cbrt-unprod
flip3-- *-commutative flip-- add-log-exp difference-of-squares
times-frac distribute-lft-out-- unswap-sqr
Counts
2 → 43
Calls
2 calls:
41.0ms
(* (- x (/ 16.0 116.0)) 3.0)
57.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

series75.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(* (- x (/ 16.0 116.0)) 3.0)
33.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

simplify94.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0197259
1849215
24422215
35001215

prune277.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
pow1 add-exp-log associate-*l* add-cbrt-cube
*-un-lft-identity
pow-prod-down prod-exp cbrt-unprod
add-cube-cbrt associate-*l/ difference-of-squares
flip3-- times-frac associate-*r* *-commutative flip-- distribute-lft-out-- add-log-exp
Counts
1 → 23
Calls
1 calls:
50.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 y))

series36.0ms

Counts
1 → 3
Calls
1 calls:
36.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 y))

simplify66.0ms

Algorithm
egg-herbie
Counts
26 → 26
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0161155
1566125
22546125
35002125

prune52.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0)))
0.2b
(* (* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)) y)
0.7b
(* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

rewrite556.0ms

Algorithm
rewrite-expression-head
Rules
31×pow1 add-exp-log
19×pow-prod-down prod-exp add-cbrt-cube cbrt-unprod
13×add-sqr-sqrt
12×associate-*l/
10×associate-*r*
*-un-lft-identity
associate-*l*
add-cube-cbrt
cbrt-prod flip3-- *-commutative flip-- add-log-exp
difference-of-squares
times-frac distribute-lft-out-- unswap-sqr
Counts
3 → 76
Calls
3 calls:
58.0ms
(* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0)))
380.0ms
(* (* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)) y)
115.0ms
(* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

series304.0ms

Counts
3 → 9
Calls
3 calls:
108.0ms
(* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0)))
84.0ms
(* (* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)) y)
112.0ms
(* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

simplify58.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0333777
11671584
25002540

prune177.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.1b
(* (- x (/ 16.0 116.0)) (* (pow (cbrt 3.0) 2) (cbrt (* (cbrt 3.0) (cbrt 3.0)))))
0.2b
(* (* (- x (/ 16.0 116.0)) (* (pow (cbrt 3.0) 2) (cbrt (* (cbrt 3.0) (cbrt 3.0))))) (cbrt (cbrt 3.0)))
0.2b
(* (* (* (- x (/ 16.0 116.0)) (* (pow (cbrt 3.0) 2) (cbrt (* (cbrt 3.0) (cbrt 3.0))))) (cbrt (cbrt 3.0))) y)

rewrite676.0ms

Algorithm
rewrite-expression-head
Rules
52×add-exp-log
37×prod-exp
22×add-cbrt-cube
19×pow1 cbrt-unprod
13×add-sqr-sqrt associate-*r*
12×associate-*l/
10×*-un-lft-identity pow-prod-down
cbrt-prod
add-cube-cbrt associate-*l*
pow-to-exp flip3-- pow-exp *-commutative flip-- add-log-exp
difference-of-squares
times-frac distribute-lft-out--
Counts
3 → 81
Calls
3 calls:
73.0ms
(* (- x (/ 16.0 116.0)) (* (pow (cbrt 3.0) 2) (cbrt (* (cbrt 3.0) (cbrt 3.0)))))
147.0ms
(* (* (- x (/ 16.0 116.0)) (* (pow (cbrt 3.0) 2) (cbrt (* (cbrt 3.0) (cbrt 3.0))))) (cbrt (cbrt 3.0)))
452.0ms
(* (* (* (- x (/ 16.0 116.0)) (* (pow (cbrt 3.0) 2) (cbrt (* (cbrt 3.0) (cbrt 3.0))))) (cbrt (cbrt 3.0))) y)

series712.0ms

Counts
3 → 9
Calls
3 calls:
503.0ms
(* (- x (/ 16.0 116.0)) (* (pow (cbrt 3.0) 2) (cbrt (* (cbrt 3.0) (cbrt 3.0)))))
118.0ms
(* (* (- x (/ 16.0 116.0)) (* (pow (cbrt 3.0) 2) (cbrt (* (cbrt 3.0) (cbrt 3.0))))) (cbrt (cbrt 3.0)))
91.0ms
(* (* (* (- x (/ 16.0 116.0)) (* (pow (cbrt 3.0) 2) (cbrt (* (cbrt 3.0) (cbrt 3.0))))) (cbrt (cbrt 3.0))) y)

simplify64.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
03961350
119041089
250021087

prune224.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes79.0ms

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
02114
12114

end0.0ms

sample388.0ms

Algorithm
intervals
Results
192.0ms9171×body80valid