Details

Time bar (total: 1.9s)

sample16.0ms

Algorithm
intervals
Results
6.0ms304×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: 0.2b

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)

rewrite95.0ms

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:
40.0ms
(* (- x (/ 16.0 116.0)) 3.0)
53.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

series81.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(* (- x (/ 16.0 116.0)) 3.0)
37.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

simplify93.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0197259
1849215
24422215
35001215

prune87.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* 3.0 x) 0.41379310344827586)
0.1b
(* (- (* 3.0 x) 0.41379310344827586) y)

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
associate-*r* associate-*l*
flip3-- associate-*l/ flip--
sub-neg diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 32
Calls
2 calls:
8.0ms
(- (* 3.0 x) 0.41379310344827586)
27.0ms
(* (- (* 3.0 x) 0.41379310344827586) y)

series81.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(- (* 3.0 x) 0.41379310344827586)
43.0ms
(* (- (* 3.0 x) 0.41379310344827586) y)

simplify49.0ms

Algorithm
egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 2 (15.0ms)

IterNodesCost
0131173
1447151
21935150
35003150

prune67.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

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:
51.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 y))

series41.0ms

Counts
1 → 3
Calls
1 calls:
41.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 y))

simplify63.0ms

Algorithm
egg-herbie
Counts
26 → 26
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0161155
1566125
22546125
35002125

prune48.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* 3.0 x) 0.41379310344827586)
0.3b
(* (* 3.0 x) (* 3.0 x))
4.5b
(* (- (* (* 3.0 x) (* 3.0 x)) (* 0.41379310344827586 0.41379310344827586)) y)
6.8b
(/ (* (- (* (* 3.0 x) (* 3.0 x)) (* 0.41379310344827586 0.41379310344827586)) y) (+ (* 3.0 x) 0.41379310344827586))

rewrite191.0ms

Algorithm
rewrite-expression-head
Rules
45×pow1
23×add-exp-log add-cbrt-cube
18×pow-prod-down
10×add-sqr-sqrt prod-exp cbrt-unprod
add-cube-cbrt *-un-lft-identity
add-log-exp
associate-*l*
associate-*r* associate-*l/ pow-sqr pow-prod-up
times-frac associate-/r*
cbrt-undiv flip3-- flip3-+ pow-plus div-exp associate-/r/ *-commutative flip-- flip-+ associate-/l/
+-commutative pow2 frac-2neg swap-sqr clear-num sum-log div-inv associate-/l* difference-of-squares unswap-sqr
Counts
4 → 91
Calls
4 calls:
7.0ms
(+ (* 3.0 x) 0.41379310344827586)
27.0ms
(* (* 3.0 x) (* 3.0 x))
98.0ms
(* (- (* (* 3.0 x) (* 3.0 x)) (* 0.41379310344827586 0.41379310344827586)) y)
56.0ms
(/ (* (- (* (* 3.0 x) (* 3.0 x)) (* 0.41379310344827586 0.41379310344827586)) y) (+ (* 3.0 x) 0.41379310344827586))

series188.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(+ (* 3.0 x) 0.41379310344827586)
27.0ms
(* (* 3.0 x) (* 3.0 x))
50.0ms
(* (- (* (* 3.0 x) (* 3.0 x)) (* 0.41379310344827586 0.41379310344827586)) y)
77.0ms
(/ (* (- (* (* 3.0 x) (* 3.0 x)) (* 0.41379310344827586 0.41379310344827586)) y) (+ (* 3.0 x) 0.41379310344827586))

simplify64.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
0386676
11983556
25001544

prune150.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes54.0ms

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
093
193

end0.0ms

sample390.0ms

Algorithm
intervals
Results
196.0ms9144×body80valid