Details

sample51.0ms

Algorithm

intervals

Results

20.0ms	276×	body	80	valid
16.0ms	288×	body	80	nan

simplify118.0ms

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

localize10.0ms

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))

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)))
71.0ms	(* (* 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))

series169.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(+ y (/ 1.0 (* x 9.0)))
72.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
43.0ms	(* 3.0 (sqrt x))
18.0ms	(/ 1.0 (* x 9.0))

simplify70.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (61.0ms)

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

prune249.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite168.0ms

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)))
83.0ms	(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
75.0ms	(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
3.0ms	(/ 1.0 (* x 9.0))

series200.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(+ y (/ 1.0 (* x 9.0)))
73.0ms	(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
76.0ms	(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
20.0ms	(/ 1.0 (* x 9.0))

simplify64.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 1 (14.0ms)

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

prune258.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

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	(/ (/ 1.0 x) 9.0)
0.3b	(* 3.0 (sqrt x))

rewrite284.0ms

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))
250.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
6.0ms	(/ (/ 1.0 x) 9.0)
5.0ms	(* 3.0 (sqrt x))

series180.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(+ y (/ (/ 1.0 x) 9.0))
77.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
19.0ms	(/ (/ 1.0 x) 9.0)
51.0ms	(* 3.0 (sqrt x))

simplify88.0ms

Algorithm

egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 1 (21.0ms)

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

prune415.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

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	(* 0.1111111111111111 (/ 1 x))
0.3b	(* 3.0 (sqrt x))

rewrite46.0ms

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)))
28.0ms	(* (* 3.0 (sqrt x)) (- (+ y (* 0.1111111111111111 (/ 1 x))) 1.0))
8.0ms	(* 0.1111111111111111 (/ 1 x))
5.0ms	(* 3.0 (sqrt x))

series179.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(+ y (* 0.1111111111111111 (/ 1 x)))
79.0ms	(* (* 3.0 (sqrt x)) (- (+ y (* 0.1111111111111111 (/ 1 x))) 1.0))
19.0ms	(* 0.1111111111111111 (/ 1 x))
49.0ms	(* 3.0 (sqrt x))

simplify80.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 2 (71.0ms)

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

prune247.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

regimes89.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	7
1	19	7

end0.0ms

sample1.3s

Algorithm

intervals

Results

558.0ms	8555×	body	80	valid
486.0ms	8512×	body	80	nan