Details

sample28.0ms

Algorithm

intervals

Results

8.0ms	274×	body	80	valid
7.0ms	235×	body	80	nan

simplify110.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (/ 1.0 (* x 9.0)))
0.2b	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
0.3b	(* 3.0 (sqrt x))
0.5b	(/ 1.0 (* x 9.0))

rewrite84.0ms

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)))
70.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
4.0ms	(* 3.0 (sqrt x))
3.0ms	(/ 1.0 (* x 9.0))

series152.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(+ y (/ 1.0 (* x 9.0)))
68.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
38.0ms	(* 3.0 (sqrt x))
20.0ms	(/ 1.0 (* x 9.0))

simplify57.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (49.0ms)

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

prune210.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (* 0.1111111111111111 (/ 1 x)))
0.2b	(* (* 3.0 (sqrt x)) (- (+ y (* 0.1111111111111111 (/ 1 x))) 1.0))
0.3b	(* 3.0 (sqrt x))
0.3b	(* 0.1111111111111111 (/ 1 x))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 97

Calls

4 calls:

2.0ms	(+ y (* 0.1111111111111111 (/ 1 x)))
31.0ms	(* (* 3.0 (sqrt x)) (- (+ y (* 0.1111111111111111 (/ 1 x))) 1.0))
4.0ms	(* 3.0 (sqrt x))
8.0ms	(* 0.1111111111111111 (/ 1 x))

series150.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(+ y (* 0.1111111111111111 (/ 1 x)))
60.0ms	(* (* 3.0 (sqrt x)) (- (+ y (* 0.1111111111111111 (/ 1 x))) 1.0))
42.0ms	(* 3.0 (sqrt x))
17.0ms	(* 0.1111111111111111 (/ 1 x))

simplify67.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	522	597
1	2453	505
2	5001	489

prune221.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* 3.0 (sqrt x)) (- (+ y (* (/ 0.1111111111111111 (sqrt x)) (/ (cbrt 1) (sqrt x)))) 1.0))
0.3b	(/ (cbrt 1) (sqrt x))
0.3b	(* 3.0 (sqrt x))
0.4b	(* (/ 0.1111111111111111 (sqrt x)) (/ (cbrt 1) (sqrt x)))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

148×	`add-sqr-sqrt`
122×	`times-frac`
82×	`*-un-lft-identity`
74×	`add-cube-cbrt`
68×	`sqrt-prod`
51×	`cbrt-prod` `associate-r`
26×	`associate-l`
25×	`add-exp-log`
23×	`unswap-sqr`
22×	`add-cbrt-cube`
13×	`pow1`
8×	`prod-exp` `cbrt-unprod`
6×	`associate-/r` `associate-/l`
5×	`cbrt-undiv` `div-exp` `pow-prod-down`
4×	`add-log-exp`
3×	`distribute-rgt-in` `distribute-lft-in` `associate-r/` `-commutative` `div-inv`
2×	`sub-neg` `associate--l+`
1×	`frac-times` `flip3--` `frac-2neg` `associate-*l/` `clear-num` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 213

Calls

4 calls:

28.0ms	(* (* 3.0 (sqrt x)) (- (+ y (* (/ 0.1111111111111111 (sqrt x)) (/ (cbrt 1) (sqrt x)))) 1.0))
4.0ms	(/ (cbrt 1) (sqrt x))
4.0ms	(* 3.0 (sqrt x))
35.0ms	(* (/ 0.1111111111111111 (sqrt x)) (/ (cbrt 1) (sqrt x)))

series196.0ms

Counts

4 → 12

Calls

4 calls:

98.0ms	(* (* 3.0 (sqrt x)) (- (+ y (* (/ 0.1111111111111111 (sqrt x)) (/ (cbrt 1) (sqrt x)))) 1.0))
28.0ms	(/ (cbrt 1) (sqrt x))
37.0ms	(* 3.0 (sqrt x))
34.0ms	(* (/ 0.1111111111111111 (sqrt x)) (/ (cbrt 1) (sqrt x)))

simplify101.0ms

Algorithm

egg-herbie

Counts

225 → 225

Iterations

Useful iterations: 2 (78.0ms)

Iter	Nodes	Cost
0	812	2064
1	3891	1903
2	5001	1820

prune506.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.1b	(* 3.0 (+ (/ 0.1111111111111111 x) (- y 1.0)))
0.3b	(* (* 3.0 (+ (/ 0.1111111111111111 x) (- y 1.0))) (sqrt x))

rewrite113.0ms

Algorithm

rewrite-expression-head

Rules

11×	`-un-lft-identity` `associate-r*`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`add-sqr-sqrt` `associate-*r/`
6×	`add-cube-cbrt`
4×	`associate-l` `pow-prod-down` `associate-*l/` `frac-add` `prod-exp` `cbrt-unprod`
3×	`sqrt-prod`
2×	`flip3--` `flip3-+` `*-commutative` `flip--` `flip-+` `distribute-lft-out` `add-log-exp`
1×	`distribute-rgt-in` `distribute-lft-in` `distribute-lft-out--` `unswap-sqr`

Counts

2 → 51

Calls

2 calls:

51.0ms	(* 3.0 (+ (/ 0.1111111111111111 x) (- y 1.0)))
60.0ms	(* (* 3.0 (+ (/ 0.1111111111111111 x) (- y 1.0))) (sqrt x))

series93.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(* 3.0 (+ (/ 0.1111111111111111 x) (- y 1.0)))
66.0ms	(* (* 3.0 (+ (/ 0.1111111111111111 x) (- y 1.0))) (sqrt x))

simplify47.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	362	410
1	1728	356
2	5002	354

prune117.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes56.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	6
1	18	6

end0.0ms

sample969.0ms

Algorithm

intervals

Results

443.0ms	8554×	body	80	valid
265.0ms	8618×	body	80	nan