Details

Time bar (total: 3.6s)

sample16.0ms

Algorithm
intervals
Results
7.0ms290×body80valid

simplify52.0ms

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

localize6.0ms

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)

rewrite67.0ms

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)
31.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

series106.0ms

Counts
3 → 9
Calls
3 calls:
23.0ms
(- x (/ 16.0 116.0))
42.0ms
(* (- x (/ 16.0 116.0)) 3.0)
41.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

simplify65.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
05101245
11827864
25001783

prune182.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize6.0ms

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))

rewrite38.0ms

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))
27.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 y))

series63.0ms

Counts
2 → 6
Calls
2 calls:
23.0ms
(- x (/ 16.0 116.0))
40.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 y))

simplify53.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
04741133
11545766
25002685

prune129.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (* (- x (/ 16.0 116.0)) 3.0)) (cbrt (* (- x (/ 16.0 116.0)) 3.0)))
0.2b
(cbrt (* (- x (/ 16.0 116.0)) 3.0))
0.2b
(cbrt (* (- x (/ 16.0 116.0)) 3.0))
0.2b
(cbrt (* (- x (/ 16.0 116.0)) 3.0))

rewrite35.0ms

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:
11.0ms
(* (cbrt (* (- x (/ 16.0 116.0)) 3.0)) (cbrt (* (- x (/ 16.0 116.0)) 3.0)))
7.0ms
(cbrt (* (- x (/ 16.0 116.0)) 3.0))
7.0ms
(cbrt (* (- x (/ 16.0 116.0)) 3.0))
7.0ms
(cbrt (* (- x (/ 16.0 116.0)) 3.0))

series642.0ms

Counts
4 → 12
Calls
4 calls:
202.0ms
(* (cbrt (* (- x (/ 16.0 116.0)) 3.0)) (cbrt (* (- x (/ 16.0 116.0)) 3.0)))
153.0ms
(cbrt (* (- x (/ 16.0 116.0)) 3.0))
137.0ms
(cbrt (* (- x (/ 16.0 116.0)) 3.0))
149.0ms
(cbrt (* (- x (/ 16.0 116.0)) 3.0))

simplify57.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0433934
11604864
25001803

prune326.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (- (pow x 3) (pow (/ 16.0 116.0) 3)) 3.0)
0.1b
(* x (/ 16.0 116.0))
2.7b
(* (* (- (pow x 3) (pow (/ 16.0 116.0) 3)) 3.0) y)
12.6b
(/ (* (* (- (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)))))

rewrite420.0ms

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 expm1-log1p-u div-exp log1p-expm1-u 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 → 137
Calls
4 calls:
119.0ms
(* (- (pow x 3) (pow (/ 16.0 116.0) 3)) 3.0)
7.0ms
(* x (/ 16.0 116.0))
126.0ms
(* (* (- (pow x 3) (pow (/ 16.0 116.0) 3)) 3.0) y)
160.0ms
(/ (* (* (- (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)))))

series275.0ms

Counts
4 → 12
Calls
4 calls:
100.0ms
(* (- (pow x 3) (pow (/ 16.0 116.0) 3)) 3.0)
17.0ms
(* x (/ 16.0 116.0))
53.0ms
(* (* (- (pow x 3) (pow (/ 16.0 116.0) 3)) 3.0) y)
105.0ms
(/ (* (* (- (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)))))

simplify104.0ms

Algorithm
egg-herbie
Counts
149 → 149
Iterations

Useful iterations: 2 (83.0ms)

IterNodesCost
06401317
133571116
250021097

prune421.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes118.0ms

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 (1.0ms)

IterNodesCost
0114
1114

end0.0ms

sample375.0ms

Algorithm
intervals
Results
226.0ms9161×body80valid