Details

Time bar (total: 3.8s)

sample15.0ms

Algorithm
intervals
Results
6.0ms298×body80valid

simplify38.0ms

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: 0.1b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite68.0ms

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
7×associate-*l*
6×associate-*r* associate-*l/
5×add-log-exp
4×pow-prod-down prod-exp cbrt-unprod difference-of-squares
3×expm1-log1p-u flip3-- fma-neg flip-- log1p-expm1-u div-inv
2×*-commutative distribute-lft-out--
1×sub-neg diff-log unswap-sqr
Counts
3 → 106
Calls
3 calls:
8.0ms
(- x (/ 16.0 116.0))
24.0ms
(* (- x (/ 16.0 116.0)) 3.0)
29.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

series106.0ms

Counts
3 → 9
Calls
3 calls:
23.0ms
(- x (/ 16.0 116.0))
45.0ms
(* (- x (/ 16.0 116.0)) 3.0)
38.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

simplify59.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
05101245
11827864
25001783

prune185.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

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))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
48×add-sqr-sqrt
42×*-un-lft-identity
39×prod-diff
38×add-cube-cbrt
29×times-frac
7×pow1 add-exp-log add-cbrt-cube
6×associate-*l*
4×add-log-exp difference-of-squares
3×fma-neg pow-prod-down prod-exp cbrt-unprod div-inv
2×expm1-log1p-u flip3-- associate-*l/ flip-- log1p-expm1-u distribute-lft-out--
1×sub-neg diff-log associate-*r* *-commutative
Counts
2 → 84
Calls
2 calls:
8.0ms
(- x (/ 16.0 116.0))
30.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 y))

series65.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(- x (/ 16.0 116.0))
38.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 y))

simplify54.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
04741133
11545766
25002685

prune128.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt y) (cbrt y))
0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
6.0ms
(* (cbrt y) (cbrt y))
0.0ms
(cbrt y)
0.0ms
(cbrt y)
1.0ms
(cbrt y)

series767.0ms

Counts
4 → 12
Calls
4 calls:
213.0ms
(* (cbrt y) (cbrt y))
184.0ms
(cbrt y)
182.0ms
(cbrt y)
187.0ms
(cbrt y)

simplify95.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (90.0ms)

IterNodesCost
0119308
1477281
22972258
35001255

prune244.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize17.0ms

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))
0.1b
(* (/ (* (- (pow x 3) (pow (/ 16.0 116.0) 3)) 3.0) (+ (* x x) (+ (* (/ 16.0 116.0) (/ 16.0 116.0)) (* x (/ 16.0 116.0))))) y)
13.6b
(/ (* (- (pow x 3) (pow (/ 16.0 116.0) 3)) 3.0) (+ (* x x) (+ (* (/ 16.0 116.0) (/ 16.0 116.0)) (* x (/ 16.0 116.0)))))

rewrite395.0ms

Algorithm
rewrite-expression-head
Rules
74×add-sqr-sqrt
45×associate-*l*
29×*-un-lft-identity
25×add-exp-log add-cbrt-cube
24×times-frac difference-of-squares
19×add-cube-cbrt associate-*r*
18×unpow-prod-down cube-prod
10×pow1 sqr-pow
8×prod-exp cbrt-unprod
5×cbrt-undiv div-exp associate-*l/ distribute-lft-out--
4×expm1-log1p-u associate-/r/ log1p-expm1-u add-log-exp unswap-sqr
3×pow-prod-down associate-/r* *-commutative div-inv
2×flip3-- flip3-+ flip-- flip-+ associate-/l/
1×difference-cubes frac-2neg associate-*r/ clear-num associate-/l*
Counts
4 → 144
Calls
4 calls:
124.0ms
(* (- (pow x 3) (pow (/ 16.0 116.0) 3)) 3.0)
7.0ms
(* x (/ 16.0 116.0))
183.0ms
(* (/ (* (- (pow x 3) (pow (/ 16.0 116.0) 3)) 3.0) (+ (* x x) (+ (* (/ 16.0 116.0) (/ 16.0 116.0)) (* x (/ 16.0 116.0))))) y)
74.0ms
(/ (* (- (pow x 3) (pow (/ 16.0 116.0) 3)) 3.0) (+ (* x x) (+ (* (/ 16.0 116.0) (/ 16.0 116.0)) (* x (/ 16.0 116.0)))))

series379.0ms

Counts
4 → 12
Calls
4 calls:
94.0ms
(* (- (pow x 3) (pow (/ 16.0 116.0) 3)) 3.0)
15.0ms
(* x (/ 16.0 116.0))
92.0ms
(* (/ (* (- (pow x 3) (pow (/ 16.0 116.0) 3)) 3.0) (+ (* x x) (+ (* (/ 16.0 116.0) (/ 16.0 116.0)) (* x (/ 16.0 116.0))))) y)
177.0ms
(/ (* (- (pow x 3) (pow (/ 16.0 116.0) 3)) 3.0) (+ (* x x) (+ (* (/ 16.0 116.0) (/ 16.0 116.0)) (* x (/ 16.0 116.0)))))

simplify105.0ms

Algorithm
egg-herbie
Counts
156 → 156
Iterations

Useful iterations: 2 (82.0ms)

IterNodesCost
06741606
134431345
250011319

prune479.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes129.0ms

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

sample367.0ms

Algorithm
intervals
Results
216.0ms9176×body80valid