Details

sample30.0ms

Algorithm

intervals

Results

9.0ms	282×	body	80	nan
8.0ms	273×	body	80	valid

simplify118.0ms

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 3 expressions with local error:

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))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 72

Calls

3 calls:

3.0ms	(/ 1.0 (* x 9.0))
72.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
5.0ms	(* 3.0 (sqrt x))

series145.0ms

Counts

3 → 9

Calls

3 calls:

18.0ms	(/ 1.0 (* x 9.0))
78.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
49.0ms	(* 3.0 (sqrt x))

simplify48.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	404	481
1	2021	414
2	5001	412

prune161.0ms

Filtered

81 candidates to 51 candidates (63.0%)

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite163.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 86

Calls

3 calls:

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

series140.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
16.0ms	(/ 1.0 (* x 9.0))
64.0ms	(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))

simplify48.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	375	703
1	1706	622
2	5003	622

prune174.0ms

Filtered

95 candidates to 56 candidates (58.9%)

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

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:

3.0ms	(/ 1.0 (* x 9.0))
20.0ms	(* (+ y (/ 1.0 (* x 9.0))) (sqrt x))
23.0ms	(* 3.0 (* (+ y (/ 1.0 (* x 9.0))) (sqrt x)))
10.0ms	(* 3.0 (* (- 1.0) (sqrt x)))

series175.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(/ 1.0 (* x 9.0))
58.0ms	(* (+ y (/ 1.0 (* x 9.0))) (sqrt x))
64.0ms	(* 3.0 (* (+ y (/ 1.0 (* x 9.0))) (sqrt x)))
38.0ms	(* 3.0 (* (- 1.0) (sqrt x)))

simplify52.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (45.0ms)

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

prune213.0ms

Filtered

97 candidates to 64 candidates (66.0%)

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 76

Calls

4 calls:

6.0ms	(+ y (/ 0.1111111111111111 x))
25.0ms	(* 3.0 (* (+ y (/ 0.1111111111111111 x)) (sqrt x)))
26.0ms	(* (+ y (/ 0.1111111111111111 x)) (sqrt x))
12.0ms	(* 3.0 (* (- 1.0) (sqrt x)))

series185.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(+ y (/ 0.1111111111111111 x))
61.0ms	(* 3.0 (* (+ y (/ 0.1111111111111111 x)) (sqrt x)))
57.0ms	(* (+ y (/ 0.1111111111111111 x)) (sqrt x))
40.0ms	(* 3.0 (* (- 1.0) (sqrt x)))

simplify46.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	400	540
1	1652	459
2	5003	457

prune165.0ms

Filtered

88 candidates to 57 candidates (64.8%)

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

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	10
1	30	10
2	34	10
3	34	10

end0.0ms

sample828.0ms

Algorithm

intervals

Results

281.0ms	8559×	body	80	nan
277.0ms	8558×	body	80	valid