Details

Time bar (total: 3.1s)

sample16.0ms

Algorithm
intervals
Results
7.0ms287×body80valid

simplify47.0ms

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

localize10.0ms

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)

rewrite34.0ms

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))
9.0ms
(* (- x (/ 16.0 116.0)) 3.0)
11.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

series110.0ms

Counts
3 → 9
Calls
3 calls:
23.0ms
(- x (/ 16.0 116.0))
47.0ms
(* (- x (/ 16.0 116.0)) 3.0)
40.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

simplify64.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
05101245
11827864
25001783

prune186.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

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))

rewrite23.0ms

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))
11.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 y))

series67.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(- x (/ 16.0 116.0))
39.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 y))

simplify58.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
04741133
11545766
25002685

prune129.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* (- x (/ 16.0 116.0)) (* 3.0 y))) (cbrt (* (- x (/ 16.0 116.0)) (* 3.0 y))))
0.6b
(cbrt (* (- x (/ 16.0 116.0)) (* 3.0 y)))
0.6b
(cbrt (* (- x (/ 16.0 116.0)) (* 3.0 y)))
0.6b
(cbrt (* (- x (/ 16.0 116.0)) (* 3.0 y)))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*l/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
9×flip3-- pow1/3 flip--
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×expm1-log1p-u frac-times swap-sqr associate-*r* associate-*l* add-cbrt-cube log1p-expm1-u add-log-exp
2×associate-*r/ pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 80
Calls
4 calls:
8.0ms
(* (cbrt (* (- x (/ 16.0 116.0)) (* 3.0 y))) (cbrt (* (- x (/ 16.0 116.0)) (* 3.0 y))))
9.0ms
(cbrt (* (- x (/ 16.0 116.0)) (* 3.0 y)))
9.0ms
(cbrt (* (- x (/ 16.0 116.0)) (* 3.0 y)))
9.0ms
(cbrt (* (- x (/ 16.0 116.0)) (* 3.0 y)))

series627.0ms

Counts
4 → 12
Calls
4 calls:
203.0ms
(* (cbrt (* (- x (/ 16.0 116.0)) (* 3.0 y))) (cbrt (* (- x (/ 16.0 116.0)) (* 3.0 y))))
143.0ms
(cbrt (* (- x (/ 16.0 116.0)) (* 3.0 y)))
138.0ms
(cbrt (* (- x (/ 16.0 116.0)) (* 3.0 y)))
143.0ms
(cbrt (* (- x (/ 16.0 116.0)) (* 3.0 y)))

simplify62.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
05031267
117511180
250011087

prune312.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (/ 16.0 116.0) (/ 16.0 116.0)) (* x (/ 16.0 116.0)))
0.1b
(* x (/ 16.0 116.0))
1.7b
(* (- (pow x 3) (pow (/ 16.0 116.0) 3)) (* 3.0 y))
17.9b
(/ (* (- (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)))))

rewrite91.0ms

Algorithm
rewrite-expression-head
Rules
66×add-sqr-sqrt
36×associate-*l*
25×*-un-lft-identity
24×difference-of-squares
23×add-exp-log add-cbrt-cube
21×times-frac
18×unpow-prod-down cube-prod
15×add-cube-cbrt
14×associate-*r*
11×pow1
10×sqr-pow
8×prod-exp cbrt-unprod
6×add-log-exp
5×associate-*r/ associate-*l/ distribute-lft-out--
4×cbrt-undiv expm1-log1p-u div-exp pow-prod-down log1p-expm1-u
3×frac-add associate-/r*
2×flip3-- flip3-+ associate-/r/ *-commutative flip-- flip-+ div-inv associate-/l/ unswap-sqr
1×difference-cubes +-commutative frac-times distribute-rgt-out fma-def frac-2neg clear-num sum-log associate-/l*
Counts
4 → 133
Calls
4 calls:
7.0ms
(+ (* (/ 16.0 116.0) (/ 16.0 116.0)) (* x (/ 16.0 116.0)))
7.0ms
(* x (/ 16.0 116.0))
33.0ms
(* (- (pow x 3) (pow (/ 16.0 116.0) 3)) (* 3.0 y))
37.0ms
(/ (* (- (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)))))

series199.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(+ (* (/ 16.0 116.0) (/ 16.0 116.0)) (* x (/ 16.0 116.0)))
19.0ms
(* x (/ 16.0 116.0))
49.0ms
(* (- (pow x 3) (pow (/ 16.0 116.0) 3)) (* 3.0 y))
94.0ms
(/ (* (- (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)))))

simplify106.0ms

Algorithm
egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 2 (91.0ms)

IterNodesCost
07291303
135581107
250021092

prune416.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes103.0ms

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

sample380.0ms

Algorithm
intervals
Results
216.0ms9187×body80valid