Details

sample34.0ms

Algorithm

intervals

Results

12.0ms	324×	body	80	nan
8.0ms	286×	body	80	valid

simplify106.0ms

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

Filtered

1 candidates to 0 candidates (0.0%)

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)))
0.3b	(* (* 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)))
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))

series149.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(+ y (/ 1.0 (* x 9.0)))
61.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
41.0ms	(* 3.0 (sqrt x))
16.0ms	(/ 1.0 (* x 9.0))

simplify54.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (47.0ms)

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

prune205.0ms

Filtered

96 candidates to 62 candidates (64.6%)

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 (/ 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))

rewrite166.0ms

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)))
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)))
3.0ms	(/ 1.0 (* x 9.0))

series173.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(+ y (/ 1.0 (* x 9.0)))
63.0ms	(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
67.0ms	(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
16.0ms	(/ 1.0 (* x 9.0))

simplify52.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 1 (11.0ms)

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

prune269.0ms

Filtered

110 candidates to 67 candidates (60.9%)

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-exp-log` `add-cbrt-cube`
16×	`pow1`
15×	`add-sqr-sqrt`
13×	`*-un-lft-identity`
11×	`add-cube-cbrt`
10×	`associate-l`
8×	`associate-r` `prod-exp` `cbrt-unprod`
7×	`pow-prod-down`
4×	`associate-*l/` `sqrt-prod` `add-log-exp`
3×	`times-frac` `-commutative` `associate-/l`
2×	`cbrt-undiv` `flip3-+` `associate-*r/` `div-exp` `flip-+` `unswap-sqr`
1×	`distribute-lft-neg-out` `frac-2neg` `clear-num` `associate-/r*` `distribute-rgt-neg-out` `div-inv` `distribute-lft-out`

Counts

4 → 85

Calls

4 calls:

21.0ms	(* 3.0 (* (+ y (/ 1.0 (* x 9.0))) (sqrt x)))
23.0ms	(* (+ y (/ 1.0 (* x 9.0))) (sqrt x))
10.0ms	(* 3.0 (* (- 1.0) (sqrt x)))
3.0ms	(/ 1.0 (* x 9.0))

series183.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(* 3.0 (* (+ y (/ 1.0 (* x 9.0))) (sqrt x)))
56.0ms	(* (+ y (/ 1.0 (* x 9.0))) (sqrt x))
43.0ms	(* 3.0 (* (- 1.0) (sqrt x)))
16.0ms	(/ 1.0 (* x 9.0))

simplify54.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	463	615
1	2063	523
2	5001	521

prune219.0ms

Filtered

97 candidates to 64 candidates (66.0%)

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-exp-log` `add-cbrt-cube`
16×	`pow1`
13×	`add-sqr-sqrt` `*-un-lft-identity`
11×	`add-cube-cbrt` `associate-r`
8×	`prod-exp` `cbrt-unprod`
7×	`associate-l` `pow-prod-down`
4×	`associate-*r/` `add-log-exp`
3×	`times-frac` `sqrt-prod` `-commutative` `associate-/l`
2×	`cbrt-undiv` `flip3-+` `div-exp` `associate-*l/` `flip-+`
1×	`distribute-lft-neg-out` `distribute-rgt-in` `frac-2neg` `distribute-lft-in` `clear-num` `associate-/r*` `distribute-rgt-neg-out` `div-inv` `distribute-lft-out` `unswap-sqr`

Counts

4 → 86

Calls

4 calls:

18.0ms	(* 3.0 (+ y (/ 1.0 (* x 9.0))))
10.0ms	(* 3.0 (* (- 1.0) (sqrt x)))
27.0ms	(* (* 3.0 (+ y (/ 1.0 (* x 9.0)))) (sqrt x))
3.0ms	(/ 1.0 (* x 9.0))

series159.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(* 3.0 (+ y (/ 1.0 (* x 9.0))))
43.0ms	(* 3.0 (* (- 1.0) (sqrt x)))
67.0ms	(* (* 3.0 (+ y (/ 1.0 (* x 9.0)))) (sqrt x))
16.0ms	(/ 1.0 (* x 9.0))

simplify65.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	501	574
1	2475	488
2	5001	486

prune205.0ms

Filtered

98 candidates to 64 candidates (65.3%)

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes74.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	11
1	32	11
2	36	11
3	36	11

end0.0ms

sample778.0ms

Algorithm

intervals

Results

266.0ms	8569×	body	80	nan
250.0ms	8543×	body	80	valid