Details

sample30.0ms

Algorithm

intervals

Results

9.0ms	286×	body	80	nan
8.0ms	272×	body	80	valid

simplify104.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	7
1	65	7
2	182	7
3	338	7
4	488	7
5	757	7
6	1166	7
7	1729	7
8	2793	7
9	5001	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (/ 1.0 (* x 9.0)))
0.3b	(/ 1.0 (* x 9.0))
0.3b	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
0.3b	(* 3.0 (sqrt x))

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

17×	`*-un-lft-identity`
16×	`add-exp-log` `add-sqr-sqrt` `add-cbrt-cube`
12×	`associate-r`
11×	`pow1`
10×	`add-cube-cbrt`
6×	`add-log-exp`
5×	`prod-exp` `cbrt-unprod`
4×	`associate-l` `pow-prod-down` `sqrt-prod`
3×	`distribute-rgt-in` `distribute-lft-in` `times-frac` `associate-/l*`
2×	`cbrt-undiv` `sub-neg` `associate-r/` `div-exp` `associate--l+` `-commutative` `distribute-lft-out` `distribute-lft-out--` `unswap-sqr`
1×	`+-commutative` `flip3--` `frac-2neg` `flip3-+` `clear-num` `associate-/r*` `sum-log` `flip--` `flip-+` `div-inv` `difference-of-squares`

Counts

4 → 84

Calls

4 calls:

5.0ms	(+ y (/ 1.0 (* x 9.0)))
3.0ms	(/ 1.0 (* x 9.0))
71.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
5.0ms	(* 3.0 (sqrt x))

series142.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(+ y (/ 1.0 (* x 9.0)))
15.0ms	(/ 1.0 (* x 9.0))
63.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
39.0ms	(* 3.0 (sqrt x))

simplify52.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	456	548
1	2172	486
2	5002	484

prune185.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (/ 1.0 (* x 9.0)))
0.3b	(/ 1.0 (* x 9.0))
0.3b	(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
0.3b	(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))

rewrite165.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 98

Calls

4 calls:

5.0ms	(+ y (/ 1.0 (* x 9.0)))
3.0ms	(/ 1.0 (* x 9.0))
81.0ms	(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
73.0ms	(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))

series162.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(+ y (/ 1.0 (* x 9.0)))
15.0ms	(/ 1.0 (* x 9.0))
58.0ms	(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
65.0ms	(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))

simplify49.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	427	770
1	1858	694
2	5002	694

prune201.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (/ (/ 1.0 x) 9.0))
0.3b	(* (* 3.0 (sqrt x)) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
0.3b	(/ (/ 1.0 x) 9.0)
0.3b	(* 3.0 (sqrt x))

rewrite267.0ms

Algorithm

rewrite-expression-head

Rules

75×	`times-frac`
57×	`*-un-lft-identity`
56×	`add-sqr-sqrt`
50×	`add-cube-cbrt`
16×	`add-exp-log` `add-cbrt-cube`
13×	`associate-/l*`
12×	`associate-r`
11×	`pow1`
6×	`add-log-exp`
5×	`div-inv`
4×	`associate-l` `pow-prod-down` `prod-exp` `sqrt-prod` `cbrt-unprod`
3×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `div-exp` `associate-/r*`
2×	`sub-neg` `associate-r/` `associate--l+` `-commutative` `distribute-lft-out` `distribute-lft-out--` `unswap-sqr`
1×	`+-commutative` `flip3--` `frac-2neg` `flip3-+` `clear-num` `sum-log` `flip--` `flip-+` `associate-/l/` `difference-of-squares`

Counts

4 → 133

Calls

4 calls:

18.0ms	(+ y (/ (/ 1.0 x) 9.0))
231.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
9.0ms	(/ (/ 1.0 x) 9.0)
4.0ms	(* 3.0 (sqrt x))

series142.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(+ y (/ (/ 1.0 x) 9.0))
65.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
15.0ms	(/ (/ 1.0 x) 9.0)
36.0ms	(* 3.0 (sqrt x))

simplify78.0ms

Algorithm

egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 1 (17.0ms)

Iter	Nodes	Cost
0	679	914
1	2985	846
2	5001	846

prune332.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (/ 1.0 (sqrt x)) 9.0)
0.3b	(* (* 3.0 (sqrt x)) (- (+ y (* (/ 1 (sqrt x)) (/ (/ 1.0 (sqrt x)) 9.0))) 1.0))
0.3b	(* 3.0 (sqrt x))
0.3b	(* (/ 1 (sqrt x)) (/ (/ 1.0 (sqrt x)) 9.0))

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

317×	`times-frac`
237×	`add-sqr-sqrt`
168×	`*-un-lft-identity`
158×	`add-cube-cbrt`
89×	`sqrt-prod`
81×	`associate-r`
55×	`add-exp-log`
37×	`add-cbrt-cube`
26×	`associate-l`
22×	`associate-/l*` `unswap-sqr`
21×	`div-exp`
16×	`prod-exp`
13×	`pow1`
12×	`cbrt-undiv`
10×	`cbrt-unprod` `div-inv`
5×	`pow-prod-down`
4×	`add-log-exp`
3×	`distribute-rgt-in` `rec-exp` `distribute-lft-in` `1-exp` `associate-r/` `associate-/r` `*-commutative`
2×	`sub-neg` `associate--l+`
1×	`frac-times` `flip3--` `frac-2neg` `associate-*l/` `clear-num` `flip--` `associate-/l/` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 298

Calls

4 calls:

10.0ms	(/ (/ 1.0 (sqrt x)) 9.0)
28.0ms	(* (* 3.0 (sqrt x)) (- (+ y (* (/ 1 (sqrt x)) (/ (/ 1.0 (sqrt x)) 9.0))) 1.0))
4.0ms	(* 3.0 (sqrt x))
55.0ms	(* (/ 1 (sqrt x)) (/ (/ 1.0 (sqrt x)) 9.0))

series186.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(/ (/ 1.0 (sqrt x)) 9.0)
82.0ms	(* (* 3.0 (sqrt x)) (- (+ y (* (/ 1 (sqrt x)) (/ (/ 1.0 (sqrt x)) 9.0))) 1.0))
42.0ms	(* 3.0 (sqrt x))
27.0ms	(* (/ 1 (sqrt x)) (/ (/ 1.0 (sqrt x)) 9.0))

simplify57.0ms

Algorithm

egg-herbie

Counts

310 → 310

Iterations

Useful iterations: 1 (27.0ms)

Iter	Nodes	Cost
0	1302	2872
1	5001	2537

prune631.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes65.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	7
1	16	7

end0.0ms

sample838.0ms

Algorithm

intervals

Results

287.0ms	8539×	body	80	valid
272.0ms	8497×	body	80	nan