Details

sample16.0ms

Algorithm

intervals

Results

6.0ms

305×

body

valid

simplify29.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	15	4
1	31	4
2	71	4
3	136	4
4	211	4
5	285	4
6	350	4
7	396	4
8	408	4
9	408	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- x (/ 16.0 116.0)) 3.0)
0.2b	(* (* (- x (/ 16.0 116.0)) 3.0) y)

rewrite90.0ms

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×	`flip3--` `*-commutative` `flip--` `add-log-exp` `difference-of-squares`
1×	`times-frac` `distribute-lft-out--` `unswap-sqr`

Counts

2 → 43

Calls

2 calls:

39.0ms	(* (- x (/ 16.0 116.0)) 3.0)
50.0ms	(* (* (- x (/ 16.0 116.0)) 3.0) y)

series72.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(* (- x (/ 16.0 116.0)) 3.0)
33.0ms	(* (* (- x (/ 16.0 116.0)) 3.0) y)

simplify94.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	197	259
1	849	215
2	4422	215
3	5001	215

prune85.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.3b	(* (- x (/ 16.0 116.0)) (* 3.0 y))

rewrite50.0ms

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×	`flip3--` `times-frac` `associate-r` `*-commutative` `flip--` `distribute-lft-out--` `add-log-exp`

Counts

1 → 23

Calls

1 calls:

49.0ms

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

series33.0ms

Counts

1 → 3

Calls

1 calls:

33.0ms

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

simplify63.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	161	155
1	566	125
2	2546	125
3	5002	125

prune47.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.1b	(* (- 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)
0.7b	(* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

rewrite515.0ms

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` `flip3--` `*-commutative` `flip--` `add-log-exp`
2×	`difference-of-squares`
1×	`times-frac` `distribute-lft-out--` `unswap-sqr`

Counts

3 → 76

Calls

3 calls:

53.0ms	(* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0)))
354.0ms	(* (* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)) y)
105.0ms	(* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

series314.0ms

Counts

3 → 9

Calls

3 calls:

112.0ms	(* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0)))
89.0ms	(* (* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)) y)
113.0ms	(* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

simplify54.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	333	777
1	1671	584
2	5002	540

prune155.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

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))

rewrite187.0ms

Algorithm

rewrite-expression-head

Rules

38×	`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×	`frac-times` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `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 → 72

Calls

4 calls:

53.0ms	(* (cbrt (* (* (- x (/ 16.0 116.0)) 3.0) y)) (cbrt (* (* (- x (/ 16.0 116.0)) 3.0) y)))
44.0ms	(cbrt (* (* (- x (/ 16.0 116.0)) 3.0) y))
43.0ms	(cbrt (* (* (- x (/ 16.0 116.0)) 3.0) y))
45.0ms	(cbrt (* (* (- x (/ 16.0 116.0)) 3.0) y))

series540.0ms

Counts

4 → 12

Calls

4 calls:

177.0ms	(* (cbrt (* (* (- x (/ 16.0 116.0)) 3.0) y)) (cbrt (* (* (- x (/ 16.0 116.0)) 3.0) y)))
119.0ms	(cbrt (* (* (- x (/ 16.0 116.0)) 3.0) y))
121.0ms	(cbrt (* (* (- x (/ 16.0 116.0)) 3.0) y))
122.0ms	(cbrt (* (* (- x (/ 16.0 116.0)) 3.0) y))

simplify52.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	484	1219
1	1625	1140
2	5001	1029

prune264.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0.0b

regimes156.0ms

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)

Iter	Nodes	Cost
0	11	4
1	11	4

end0.0ms

sample378.0ms

Algorithm

intervals

Results

190.0ms

9102×

body

valid