Details

Time bar (total: 3.1s)

sample15.0ms

Algorithm
intervals
Results
7.0ms287×body80valid

simplify37.0ms

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

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)

rewrite55.0ms

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×expm1-log1p-u flip3-- *-commutative flip-- log1p-expm1-u add-log-exp difference-of-squares
1×times-frac distribute-lft-out-- unswap-sqr
Counts
2 → 47
Calls
2 calls:
26.0ms
(* (- x (/ 16.0 116.0)) 3.0)
28.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

series83.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(* (- x (/ 16.0 116.0)) 3.0)
37.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

simplify100.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0204277
1862233
24488233
35001233

prune106.0ms

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))

rewrite27.0ms

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×expm1-log1p-u flip3-- times-frac associate-*r* *-commutative flip-- log1p-expm1-u distribute-lft-out-- add-log-exp
Counts
1 → 25
Calls
1 calls:
26.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 y))

series37.0ms

Counts
1 → 3
Calls
1 calls:
37.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 y))

simplify70.0ms

Algorithm
egg-herbie
Counts
28 → 28
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0165165
1575135
22608135
35001135

prune52.0ms

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))

rewrite295.0ms

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 expm1-log1p-u flip3-- *-commutative flip-- log1p-expm1-u add-log-exp
2×difference-of-squares
1×times-frac distribute-lft-out-- unswap-sqr
Counts
3 → 82
Calls
3 calls:
31.0ms
(* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0)))
205.0ms
(* (* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)) y)
55.0ms
(* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

series347.0ms

Counts
3 → 9
Calls
3 calls:
122.0ms
(* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0)))
98.0ms
(* (* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)) y)
126.0ms
(* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

simplify55.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0343829
11690636
25001588

prune177.0ms

Pruning

6 alts after pruning (3 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))
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)))))

rewrite399.0ms

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:
116.0ms
(* (- (pow x 3) (pow (/ 16.0 116.0) 3)) 3.0)
7.0ms
(* x (/ 16.0 116.0))
122.0ms
(* (* (- (pow x 3) (pow (/ 16.0 116.0) 3)) 3.0) y)
149.0ms
(/ (* (* (- (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)))))

series259.0ms

Counts
4 → 12
Calls
4 calls:
95.0ms
(* (- (pow x 3) (pow (/ 16.0 116.0) 3)) 3.0)
15.0ms
(* x (/ 16.0 116.0))
56.0ms
(* (* (- (pow x 3) (pow (/ 16.0 116.0) 3)) 3.0) y)
93.0ms
(/ (* (* (- (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)))))

simplify95.0ms

Algorithm
egg-herbie
Counts
149 → 149
Iterations

Useful iterations: 2 (81.0ms)

IterNodesCost
06401317
133571116
250021097

prune388.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes117.0ms

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

sample354.0ms

Algorithm
intervals
Results
207.0ms9159×body80valid