Details

sample16.0ms

Algorithm

intervals

Results

7.0ms

302×

body

valid

simplify43.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	15	4
1	31	4
2	73	4
3	151	4
4	241	4
5	326	4
6	397	4
7	457	4
8	477	4
9	480	4
10	480	4

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

rewrite96.0ms

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:

38.0ms	(* (- x (/ 16.0 116.0)) 3.0)
54.0ms	(* (* (- x (/ 16.0 116.0)) 3.0) y)

series72.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(* (- x (/ 16.0 116.0)) 3.0)
34.0ms	(* (* (- x (/ 16.0 116.0)) 3.0) y)

simplify100.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	204	277
1	862	233
2	4488	233
3	5001	233

prune123.0ms

Pruning

6 alts after pruning (5 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))

rewrite51.0ms

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:

50.0ms

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

series34.0ms

Counts

1 → 3

Calls

1 calls:

34.0ms

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

simplify72.0ms

Algorithm

egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	165	165
1	575	135
2	2608	135
3	5001	135

prune64.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0)))
0.7b	(* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) 3.0)
2.5b	(* (* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) 3.0) y)
9.7b	(/ (* (* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) 3.0) y) (+ x (/ 16.0 116.0)))

rewrite139.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-exp-log` `add-cbrt-cube`
13×	`*-un-lft-identity`
11×	`pow1` `add-sqr-sqrt`
10×	`associate-*l/`
9×	`add-cube-cbrt`
7×	`prod-exp` `cbrt-unprod`
6×	`associate-r` `add-log-exp`
5×	`associate-l`
4×	`expm1-log1p-u` `flip3--` `times-frac` `pow-prod-down` `associate-/r*` `flip--` `log1p-expm1-u`
3×	`cbrt-undiv` `div-exp`
2×	`associate-/r/` `*-commutative` `associate-/l/` `distribute-lft-out` `difference-of-squares`
1×	`sub-neg` `frac-2neg` `flip3-+` `fma-neg` `diff-log` `prod-diff` `clear-num` `flip-+` `div-inv` `associate-/l*` `unswap-sqr`

Counts

4 → 93

Calls

4 calls:

9.0ms	(- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0)))
25.0ms	(* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) 3.0)
43.0ms	(* (* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) 3.0) y)
59.0ms	(/ (* (* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) 3.0) y) (+ x (/ 16.0 116.0)))

series211.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0)))
66.0ms	(* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) 3.0)
49.0ms	(* (* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) 3.0) y)
57.0ms	(/ (* (* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) 3.0) y) (+ x (/ 16.0 116.0)))

simplify71.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	409	1022
1	2170	841
2	5001	837

prune303.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* 3.0 x) 0.41379310344827586)
0.1b	(* y (- (* 3.0 x) 0.41379310344827586))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `prod-diff`
7×	`add-cube-cbrt` `*-un-lft-identity`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`sub-neg` `associate-r` `associate-l`
2×	`expm1-log1p-u` `flip3--` `associate-*r/` `flip--` `log1p-expm1-u`
1×	`fma-neg` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 50

Calls

2 calls:

8.0ms	(- (* 3.0 x) 0.41379310344827586)
28.0ms	(* y (- (* 3.0 x) 0.41379310344827586))

series79.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(- (* 3.0 x) 0.41379310344827586)
44.0ms	(* y (- (* 3.0 x) 0.41379310344827586))

simplify101.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 3 (96.0ms)

Iter	Nodes	Cost
0	193	296
1	774	225
2	3395	216
3	5002	212

prune100.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes85.0ms

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	9	3
1	9	3

end0.0ms

sample366.0ms

Algorithm

intervals

Results

217.0ms

9242×

body

valid