Details

sample36.0ms

Algorithm

intervals

Results

11.0ms	292×	body	80	nan
11.0ms	271×	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

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.4b

Counts

2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 89

Calls

4 calls:

7.0ms	(- (+ y (/ 1.0 (* x 9.0))) 1.0)
12.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
5.0ms	(/ 1.0 (* x 9.0))
5.0ms	(* 3.0 (sqrt x))

series142.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(- (+ y (/ 1.0 (* x 9.0))) 1.0)
61.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
19.0ms	(/ 1.0 (* x 9.0))
37.0ms	(* 3.0 (sqrt x))

simplify53.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	439	610
1	2111	534
2	5002	532

prune189.0ms

Filtered

101 candidates to 64 candidates (63.4%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	90	11	101
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	91	11	102

Merged error: 0.0b

Counts

102 → 11

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 103

Calls

4 calls:

10.0ms	(- (+ y (/ 1.0 (* x 9.0))) 1.0)
4.0ms	(/ 1.0 (* x 9.0))
13.0ms	(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
12.0ms	(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))

series164.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(- (+ y (/ 1.0 (* x 9.0))) 1.0)
16.0ms	(/ 1.0 (* x 9.0))
69.0ms	(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
57.0ms	(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))

simplify60.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	410	832
1	1797	742
2	5001	742

prune192.0ms

Filtered

115 candidates to 69 candidates (60.0%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	114	1	115
Fresh	0	10	10
Picked	1	0	1
Done	0	0	0
Total	115	11	126

Merged error: 0.0b

Counts

126 → 11

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

11.0ms	(* 3.0 (* (- (/ 1.0 (* x 9.0)) 1.0) (sqrt x)))
4.0ms	(/ 1.0 (* x 9.0))
5.0ms	(* 3.0 (* y (sqrt x)))
5.0ms	(* y (sqrt x))

series186.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(* 3.0 (* (- (/ 1.0 (* x 9.0)) 1.0) (sqrt x)))
16.0ms	(/ 1.0 (* x 9.0))
54.0ms	(* 3.0 (* y (sqrt x)))
43.0ms	(* y (sqrt x))

simplify53.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	443	499
1	1926	420
2	5001	412

prune182.0ms

Filtered

93 candidates to 61 candidates (65.6%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	10	10
Picked	0	1	1
Done	0	0	0
Total	93	11	104

Merged error: 0.0b

Counts

104 → 11

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ y (/ (/ 1.0 x) 9.0)) 1.0)
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))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 138

Calls

4 calls:

15.0ms	(- (+ y (/ (/ 1.0 x) 9.0)) 1.0)
20.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
6.0ms	(/ (/ 1.0 x) 9.0)
7.0ms	(* 3.0 (sqrt x))

series142.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(- (+ y (/ (/ 1.0 x) 9.0)) 1.0)
64.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
16.0ms	(/ (/ 1.0 x) 9.0)
41.0ms	(* 3.0 (sqrt x))

simplify73.0ms

Algorithm

egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 1 (17.0ms)

Iter	Nodes	Cost
0	661	976
1	2954	894
2	5001	894

prune267.0ms

Filtered

150 candidates to 107 candidates (71.3%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	149	1	150
Fresh	1	8	9
Picked	0	1	1
Done	0	1	1
Total	150	11	161

Merged error: 0.0b

Counts

161 → 11

regimes123.0ms

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	20	10
1	20	10

end0.0ms

sample963.0ms

Algorithm

intervals

Results

348.0ms	8534×	body	80	valid
336.0ms	8450×	body	80	nan