Details

Time bar (total: 4.5s)

sample27.0ms

Algorithm
intervals
Results
17.0ms298×body80valid

simplify57.0ms

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

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

rewrite73.0ms

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))
25.0ms
(* (- x (/ 16.0 116.0)) 3.0)
35.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

series129.0ms

Counts
3 → 9
Calls
3 calls:
27.0ms
(- x (/ 16.0 116.0))
51.0ms
(* (- x (/ 16.0 116.0)) 3.0)
51.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

simplify78.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
05101245
11827864
25001783

prune207.0ms

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:
9.0ms
(- x (/ 16.0 116.0))
29.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 y))

series79.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(- x (/ 16.0 116.0))
51.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 y))

simplify67.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
04741133
11545766
25002685

prune150.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

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)

rewrite10.0ms

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))
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series887.0ms

Counts
4 → 12
Calls
4 calls:
237.0ms
(* (cbrt y) (cbrt y))
225.0ms
(cbrt y)
212.0ms
(cbrt y)
212.0ms
(cbrt y)

simplify113.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (107.0ms)

IterNodesCost
0119308
1477281
22972258
35001255

prune252.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize16.0ms

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)))))

rewrite402.0ms

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:
125.0ms
(* (- (pow x 3) (pow (/ 16.0 116.0) 3)) 3.0)
7.0ms
(* x (/ 16.0 116.0))
187.0ms
(* (/ (* (- (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)
77.0ms
(/ (* (- (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)))))

series463.0ms

Counts
4 → 12
Calls
4 calls:
112.0ms
(* (- (pow x 3) (pow (/ 16.0 116.0) 3)) 3.0)
18.0ms
(* x (/ 16.0 116.0))
114.0ms
(* (/ (* (- (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)
219.0ms
(/ (* (- (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)))))

simplify109.0ms

Algorithm
egg-herbie
Counts
156 → 156
Iterations

Useful iterations: 2 (92.0ms)

IterNodesCost
06741606
134431345
250011319

prune506.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes143.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0114
1114

end0.0ms

sample688.0ms

Algorithm
intervals
Results
531.0ms9176×body80valid