Details

analyze48.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	74.9%	25.1%	4
12.5%	62.4%	25.1%	5
31.2%	31.2%	37.6%	6
37.5%	25%	37.6%	7
40.6%	15.6%	43.8%	8
42.9%	11.7%	45.4%	9
44.1%	7.4%	48.5%	10
45.1%	5.7%	49.3%	11
45.6%	3.6%	50.8%	12
46%	2.8%	51.2%	13
46.2%	1.8%	52%	14

sample22.0ms

Algorithm

intervals

Results

14.0ms	256×	body	80	valid
0.0ms	10×	body	80	nan
0.0ms	2×	body	80	invalid

simplify149.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (147.0ms)

Iter	Nodes	Cost
0	4819	14
1	4819	14

prune9.0ms

Filtered

1 candidates to 1 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: 0.3b

Counts

2 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

17×	`*-un-lft-identity`
16×	`add-exp-log` `add-sqr-sqrt` `add-cbrt-cube`
11×	`pow1`
10×	`add-cube-cbrt`
9×	`associate-l`
6×	`associate-r/` `associate-r*` `add-log-exp`
5×	`distribute-rgt-in` `distribute-lft-in` `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×	`sub-neg` `flip3--` `frac-2neg` `diff-log` `clear-num` `associate-/r*` `flip--` `div-inv` `difference-of-squares`

Counts

4 → 86

Calls

4 calls:

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

series30.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(- (/ 1.0 (* x 9.0)) 1.0)
10.0ms	(* (sqrt x) (+ y (- (/ 1.0 (* x 9.0)) 1.0)))
2.0ms	(/ 1.0 (* x 9.0))
14.0ms	(* 3.0 (* (sqrt x) (+ y (- (/ 1.0 (* x 9.0)) 1.0))))

simplify27.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	5831	1190

prune149.0ms

Filtered

66 candidates to 98 candidates (-48.5%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	88	10	98
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	89	11	100

Merged error: 0.0b

Counts

100 → 11

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 137

Calls

4 calls:

16.0ms	(- (/ (/ 1.0 x) 9.0) 1.0)
22.0ms	(* (sqrt x) (+ y (- (/ (/ 1.0 x) 9.0) 1.0)))
6.0ms	(/ (/ 1.0 x) 9.0)
21.0ms	(* 3.0 (* (sqrt x) (+ y (- (/ (/ 1.0 x) 9.0) 1.0))))

series27.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(- (/ (/ 1.0 x) 9.0) 1.0)
10.0ms	(* (sqrt x) (+ y (- (/ (/ 1.0 x) 9.0) 1.0)))
2.0ms	(/ (/ 1.0 x) 9.0)
12.0ms	(* 3.0 (* (sqrt x) (+ y (- (/ (/ 1.0 x) 9.0) 1.0))))

simplify35.0ms

Algorithm

egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5848	1861

prune227.0ms

Filtered

109 candidates to 149 candidates (-36.7%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	148	1	149
Fresh	1	9	10
Picked	1	0	1
Done	0	0	0
Total	150	10	160

Merged error: 0.0b

Counts

160 → 10

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

rewrite29.0ms

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×	`times-frac` `associate-/l*`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `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 → 82

Calls

4 calls:

5.0ms	(+ y (/ 1.0 (* x 9.0)))
13.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
5.0ms	(* 3.0 (sqrt x))
4.0ms	(/ 1.0 (* x 9.0))

series23.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(+ y (/ 1.0 (* x 9.0)))
12.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
4.0ms	(* 3.0 (sqrt x))
2.0ms	(/ 1.0 (* x 9.0))

simplify28.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	5384	938

prune144.0ms

Filtered

65 candidates to 94 candidates (-44.6%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	90	4	94
Fresh	3	6	9
Picked	1	0	1
Done	0	0	0
Total	94	10	104

Merged error: 0.0b

Counts

104 → 10

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (sqrt x) (sqrt 9.0))
0.3b	(* (sqrt x) (sqrt 9.0))
0.3b	(* 3.0 (* (sqrt x) (+ y (- (* (/ 1 (* (sqrt x) (sqrt 9.0))) (/ 1.0 (* (sqrt x) (sqrt 9.0)))) 1.0))))
0.5b	(* (/ 1 (* (sqrt x) (sqrt 9.0))) (/ 1.0 (* (sqrt x) (sqrt 9.0))))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

91×	`add-exp-log`
49×	`add-cbrt-cube`
42×	`prod-exp`
35×	`add-sqr-sqrt`
26×	`div-exp`
22×	`associate-l`
20×	`associate-r` `sqrt-prod` `cbrt-unprod`
19×	`pow1`
17×	`add-cube-cbrt` `*-un-lft-identity`
12×	`cbrt-undiv`
10×	`pow-prod-down`
9×	`unswap-sqr`
6×	`rec-exp` `times-frac` `1-exp`
5×	`associate-*r/`
4×	`distribute-rgt-in` `distribute-lft-in` `sqrt-pow1` `pow1/2` `*-commutative` `add-log-exp`
2×	`sqrt-unprod` `div-inv`
1×	`frac-times` `flip3-+` `associate-*l/` `flip-+`

Counts

4 → 141

Calls

4 calls:

6.0ms	(* (sqrt x) (sqrt 9.0))
6.0ms	(* (sqrt x) (sqrt 9.0))
20.0ms	(* 3.0 (* (sqrt x) (+ y (- (* (/ 1 (* (sqrt x) (sqrt 9.0))) (/ 1.0 (* (sqrt x) (sqrt 9.0)))) 1.0))))
17.0ms	(* (/ 1 (* (sqrt x) (sqrt 9.0))) (/ 1.0 (* (sqrt x) (sqrt 9.0))))

series50.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* (sqrt x) (sqrt 9.0))
5.0ms	(* (sqrt x) (sqrt 9.0))
25.0ms	(* 3.0 (* (sqrt x) (+ y (- (* (/ 1 (* (sqrt x) (sqrt 9.0))) (/ 1.0 (* (sqrt x) (sqrt 9.0)))) 1.0))))
12.0ms	(* (/ 1 (* (sqrt x) (sqrt 9.0))) (/ 1.0 (* (sqrt x) (sqrt 9.0))))

simplify37.0ms

Algorithm

egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5788	1467

prune174.0ms

Filtered

86 candidates to 153 candidates (-77.9%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	152	1	153
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	152	11	163

Merged error: 0.0b

Counts

163 → 11

regimes135.0ms

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 (1.0ms)

Iter	Nodes	Cost
0	28	14
1	28	14

end0.0ms

sample482.0ms

Algorithm

intervals

Results

343.0ms	8000×	body	80	valid
6.0ms	146×	body	80	nan
3.0ms	70×	body	80	invalid

Details

analyze48.0ms

sample22.0ms

simplify149.0ms

prune9.0ms

localize9.0ms

rewrite38.0ms

series30.0ms

simplify27.0ms

prune149.0ms

localize9.0ms

rewrite70.0ms

series27.0ms

simplify35.0ms

prune227.0ms

localize10.0ms

rewrite29.0ms

series23.0ms

simplify28.0ms

prune144.0ms

localize13.0ms

rewrite55.0ms

series50.0ms

simplify37.0ms

prune174.0ms

regimes135.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample482.0ms

Profiling