Details

Time bar (total: 3.0s)

sample14.0ms

Algorithm
intervals
Results
6.0ms287×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: 0.2b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
9×pow1 add-exp-log add-cbrt-cube
7×*-un-lft-identity associate-*l*
6×associate-*r* associate-*l/
5×add-cube-cbrt
4×pow-prod-down prod-exp cbrt-unprod
2×flip3-- *-commutative flip-- add-log-exp difference-of-squares
1×times-frac distribute-lft-out-- unswap-sqr
Counts
2 → 43
Calls
2 calls:
27.0ms
(* (- x (/ 16.0 116.0)) 3.0)
29.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

series79.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(* (- x (/ 16.0 116.0)) 3.0)
36.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

simplify91.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0197259
1849215
24422215
35001215

prune93.0ms

Pruning

8 alts after pruning (7 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))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt
6×pow1 add-exp-log associate-*l* add-cbrt-cube
4×*-un-lft-identity
3×pow-prod-down prod-exp cbrt-unprod
2×add-cube-cbrt associate-*l/ difference-of-squares
1×flip3-- times-frac associate-*r* *-commutative flip-- distribute-lft-out-- add-log-exp
Counts
1 → 23
Calls
1 calls:
27.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 y))

series40.0ms

Counts
1 → 3
Calls
1 calls:
40.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 y))

simplify68.0ms

Algorithm
egg-herbie
Counts
26 → 26
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0161155
1566125
22546125
35002125

prune45.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

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

rewrite305.0ms

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*
9×*-un-lft-identity
8×associate-*l*
7×add-cube-cbrt
3×cbrt-prod flip3-- *-commutative flip-- add-log-exp
2×difference-of-squares
1×times-frac distribute-lft-out-- unswap-sqr
Counts
3 → 76
Calls
3 calls:
32.0ms
(* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0)))
212.0ms
(* (* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)) y)
57.0ms
(* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

series342.0ms

Counts
3 → 9
Calls
3 calls:
125.0ms
(* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0)))
95.0ms
(* (* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)) y)
121.0ms
(* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

simplify55.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0333777
11671584
25002540

prune163.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- (pow x 3) (pow (/ 16.0 116.0) 3)) 3.0)
0.1b
(* x (/ 16.0 116.0))
3.4b
(* (* (- (pow x 3) (pow (/ 16.0 116.0) 3)) 3.0) y)
16.1b
(/ (* (* (- (pow x 3) (pow (/ 16.0 116.0) 3)) 3.0) y) (+ (* x x) (+ (* (/ 16.0 116.0) (/ 16.0 116.0)) (* x (/ 16.0 116.0)))))

rewrite409.0ms

Algorithm
rewrite-expression-head
Rules
70×add-sqr-sqrt
37×associate-*l*
27×*-un-lft-identity
25×add-exp-log add-cbrt-cube
24×difference-of-squares
21×times-frac
19×associate-*r*
18×unpow-prod-down cube-prod
17×add-cube-cbrt
13×pow1
10×associate-*l/ sqr-pow
9×prod-exp cbrt-unprod
5×pow-prod-down distribute-lft-out--
4×cbrt-undiv div-exp add-log-exp
3×flip3-- associate-/r* *-commutative flip-- unswap-sqr
2×associate-/r/ div-inv associate-/l/
1×difference-cubes frac-2neg flip3-+ associate-*r/ clear-num flip-+ associate-/l*
Counts
4 → 129
Calls
4 calls:
117.0ms
(* (- (pow x 3) (pow (/ 16.0 116.0) 3)) 3.0)
7.0ms
(* x (/ 16.0 116.0))
125.0ms
(* (* (- (pow x 3) (pow (/ 16.0 116.0) 3)) 3.0) y)
153.0ms
(/ (* (* (- (pow x 3) (pow (/ 16.0 116.0) 3)) 3.0) y) (+ (* x x) (+ (* (/ 16.0 116.0) (/ 16.0 116.0)) (* x (/ 16.0 116.0)))))

series241.0ms

Counts
4 → 12
Calls
4 calls:
91.0ms
(* (- (pow x 3) (pow (/ 16.0 116.0) 3)) 3.0)
19.0ms
(* x (/ 16.0 116.0))
44.0ms
(* (* (- (pow x 3) (pow (/ 16.0 116.0) 3)) 3.0) y)
87.0ms
(/ (* (* (- (pow x 3) (pow (/ 16.0 116.0) 3)) 3.0) y) (+ (* x x) (+ (* (/ 16.0 116.0) (/ 16.0 116.0)) (* x (/ 16.0 116.0)))))

simplify91.0ms

Algorithm
egg-herbie
Counts
141 → 141
Iterations

Useful iterations: 2 (78.0ms)

IterNodesCost
06231262
132641054
250011040

prune347.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes111.0ms

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

sample346.0ms

Algorithm
intervals
Results
206.0ms9159×body80valid