Details

Time bar (total: 3.4s)

sample16.0ms

Algorithm
intervals
Results
6.0ms295×body80valid

simplify39.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0154
1314
2734
31514
42414
53264
63974
74574
84774
94804
104804

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize7.0ms

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)

rewrite114.0ms

Algorithm
rewrite-expression-head
Rules
53×add-sqr-sqrt
45×*-un-lft-identity
41×add-cube-cbrt
39×prod-diff
29×times-frac
10×pow1 add-exp-log add-cbrt-cube
associate-*l*
associate-*r* associate-*l/
add-log-exp
pow-prod-down prod-exp cbrt-unprod difference-of-squares
expm1-log1p-u flip3-- fma-neg flip-- log1p-expm1-u div-inv
*-commutative distribute-lft-out--
sub-neg diff-log unswap-sqr
Counts
3 → 106
Calls
3 calls:
13.0ms
(- x (/ 16.0 116.0))
41.0ms
(* (- x (/ 16.0 116.0)) 3.0)
54.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

series100.0ms

Counts
3 → 9
Calls
3 calls:
21.0ms
(- x (/ 16.0 116.0))
39.0ms
(* (- x (/ 16.0 116.0)) 3.0)
40.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

simplify65.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
05101245
11827864
25001783

prune167.0ms

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))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
48×add-sqr-sqrt
42×*-un-lft-identity
39×prod-diff
38×add-cube-cbrt
29×times-frac
pow1 add-exp-log add-cbrt-cube
associate-*l*
add-log-exp difference-of-squares
fma-neg pow-prod-down prod-exp cbrt-unprod div-inv
expm1-log1p-u flip3-- associate-*l/ flip-- log1p-expm1-u distribute-lft-out--
sub-neg diff-log associate-*r* *-commutative
Counts
2 → 84
Calls
2 calls:
13.0ms
(- x (/ 16.0 116.0))
52.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 y))

series57.0ms

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

simplify59.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
04741133
11545766
25002685

prune125.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (/ 16.0 116.0))
0.0b
(* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0)))
0.1b
(* (* (* (- 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))

rewrite571.0ms

Algorithm
rewrite-expression-head
Rules
54×add-sqr-sqrt
47×*-un-lft-identity
43×add-cube-cbrt
39×prod-diff
32×pow1 add-exp-log
29×times-frac
20×add-cbrt-cube
19×pow-prod-down prod-exp cbrt-unprod
12×associate-*l/
10×associate-*r*
associate-*l*
add-log-exp
expm1-log1p-u flip3-- flip-- log1p-expm1-u difference-of-squares
cbrt-prod fma-neg *-commutative div-inv
distribute-lft-out--
sub-neg diff-log unswap-sqr
Counts
4 → 141
Calls
4 calls:
14.0ms
(- x (/ 16.0 116.0))
57.0ms
(* (- 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)
114.0ms
(* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

series350.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(- x (/ 16.0 116.0))
119.0ms
(* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0)))
90.0ms
(* (* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)) y)
120.0ms
(* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

simplify89.0ms

Algorithm
egg-herbie
Counts
153 → 153
Iterations

Useful iterations: 2 (73.0ms)

IterNodesCost
06481797
126991267
250031146

prune266.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (/ 16.0 116.0))
0.0b
(* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0)))
0.4b
(* (cbrt 3.0) y)
0.4b
(* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (* (cbrt 3.0) y))

rewrite209.0ms

Algorithm
rewrite-expression-head
Rules
58×add-sqr-sqrt
47×*-un-lft-identity
43×add-cube-cbrt
39×prod-diff
32×pow1 add-exp-log
29×times-frac
22×add-cbrt-cube
19×pow-prod-down prod-exp cbrt-unprod
13×associate-*l*
associate-*l/ add-log-exp
associate-*r*
cbrt-prod expm1-log1p-u log1p-expm1-u difference-of-squares
flip3-- fma-neg *-commutative flip-- div-inv unswap-sqr
distribute-lft-out--
sub-neg diff-log
Counts
4 → 141
Calls
4 calls:
13.0ms
(- x (/ 16.0 116.0))
57.0ms
(* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0)))
9.0ms
(* (cbrt 3.0) y)
124.0ms
(* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (* (cbrt 3.0) y))

series273.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(- x (/ 16.0 116.0))
113.0ms
(* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0)))
44.0ms
(* (cbrt 3.0) y)
94.0ms
(* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (* (cbrt 3.0) y))

simplify85.0ms

Algorithm
egg-herbie
Counts
153 → 153
Iterations

Useful iterations: 2 (70.0ms)

IterNodesCost
06341669
125521190
250031095

prune242.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes117.0ms

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

sample382.0ms

Algorithm
intervals
Results
193.0ms9154×body80valid