Details

analyze1.3s

Algorithm

Search

True	Other	False	Iter
0%	50%	50%	0
0%	50%	50%	1
0%	50%	50%	2
0%	50%	50%	3
0%	50%	50%	4
3.1%	46.8%	50%	5
4.7%	45.3%	50%	6
5.5%	44.5%	50%	7
5.9%	44.1%	50%	8
6%	43.9%	50%	9
6.1%	43.8%	50%	10
6.2%	43.8%	50%	11
6.2%	43.7%	50%	12
6.2%	43.7%	50%	13
6.2%	43.7%	50%	14

sample157.0ms

Algorithm

intervals

Results

98.0ms	108×	body	1280	valid
31.0ms	70×	body	640	valid
12.0ms	50×	body	320	valid
4.0ms	256×	pre	80	true
3.0ms	24×	body	160	valid
0.0ms	4×	body	80	valid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	9
1	8	9

prune3.0ms

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: 62.1b

Counts

2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (log (- 1.0 x)) (log (+ 1.0 x)))
6.9b	(log (- 1.0 x))
6.9b	(log (+ 1.0 x))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
17×	`add-sqr-sqrt`
16×	`times-frac`
15×	`pow1` `add-cube-cbrt`
12×	`log-pow`
9×	`log-prod`
7×	`add-exp-log`
6×	`log-div`
5×	`add-cbrt-cube`
4×	`associate-/r` `associate-/l`
3×	`add-log-exp`
2×	`flip3--` `div-sub` `rem-log-exp` `flip--`
1×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `div-inv` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 69

Calls

3 calls:

8.0ms	(/ (log (- 1.0 x)) (log (+ 1.0 x)))
3.0ms	(log (- 1.0 x))
3.0ms	(log (+ 1.0 x))

series20.0ms

Counts

3 → 9

Calls

3 calls:

14.0ms	(/ (log (- 1.0 x)) (log (+ 1.0 x)))
3.0ms	(log (- 1.0 x))
3.0ms	(log (+ 1.0 x))

simplify78.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4914	1103
1	4914	1103

prune150.0ms

Filtered

55 candidates to 78 candidates (-41.8%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	72	6	78
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	73	6	79

Merged error: 59.7b

Counts

79 → 6

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(* 1/2 (* (/ x 1.0) (/ x 1.0)))
0.0b	(/ (log (- 1.0 x)) (+ (* 1.0 x) (- (log 1.0) (* 1/2 (* (/ x 1.0) (/ x 1.0))))))
6.9b	(log (- 1.0 x))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 79

Calls

3 calls:

9.0ms	(* 1/2 (* (/ x 1.0) (/ x 1.0)))
9.0ms	(/ (log (- 1.0 x)) (+ (* 1.0 x) (- (log 1.0) (* 1/2 (* (/ x 1.0) (/ x 1.0))))))
3.0ms	(log (- 1.0 x))

series16.0ms

Counts

3 → 9

Calls

3 calls:

3.0ms	(* 1/2 (* (/ x 1.0) (/ x 1.0)))
10.0ms	(/ (log (- 1.0 x)) (+ (* 1.0 x) (- (log 1.0) (* 1/2 (* (/ x 1.0) (/ x 1.0))))))
3.0ms	(log (- 1.0 x))

simplify29.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (18.0ms)

Iter	Nodes	Cost
0	5246	1759

prune169.0ms

Filtered

62 candidates to 88 candidates (-41.9%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	87	1	88
Fresh	2	3	5
Picked	1	0	1
Done	0	0	0
Total	90	4	94

Merged error: 0.1b

Counts

94 → 4

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(* 1/2 (* (/ x 1.0) (/ x 1.0)))
0.0b	(/ (- (log 1.0) (+ (* 1.0 x) (* x (/ (* x (/ 1/2 1.0)) 1.0)))) (+ (* 1.0 x) (- (log 1.0) (* 1/2 (* (/ x 1.0) (/ x 1.0))))))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 72

Calls

2 calls:

9.0ms	(* 1/2 (* (/ x 1.0) (/ x 1.0)))
12.0ms	(/ (- (log 1.0) (+ (* 1.0 x) (* x (/ (* x (/ 1/2 1.0)) 1.0)))) (+ (* 1.0 x) (- (log 1.0) (* 1/2 (* (/ x 1.0) (/ x 1.0))))))

series11.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(* 1/2 (* (/ x 1.0) (/ x 1.0)))
8.0ms	(/ (- (log 1.0) (+ (* 1.0 x) (* x (/ (* x (/ 1/2 1.0)) 1.0)))) (+ (* 1.0 x) (- (log 1.0) (* 1/2 (* (/ x 1.0) (/ x 1.0))))))

simplify44.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5199	2167

prune180.0ms

Filtered

52 candidates to 78 candidates (-50.0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	76	2	78
Fresh	1	2	3
Picked	1	0	1
Done	0	0	0
Total	78	4	82

Merged error: 0.1b

Counts

82 → 4

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (cbrt (/ (- (log 1.0) (* x (+ 1.0 (* (/ 1/2 1.0) (/ x 1.0))))) (- (log 1.0) (* x (- (* (/ 1/2 1.0) (/ x 1.0)) 1.0))))) (cbrt (/ (- (log 1.0) (* x (+ 1.0 (* (/ 1/2 1.0) (/ x 1.0))))) (- (log 1.0) (* x (- (* (/ 1/2 1.0) (/ x 1.0)) 1.0))))))
0.0b	(/ (- (log 1.0) (* x (+ 1.0 (* (/ 1/2 1.0) (/ x 1.0))))) (- (log 1.0) (* x (- (* (/ 1/2 1.0) (/ x 1.0)) 1.0))))
0.0b	(/ (- (log 1.0) (* x (+ 1.0 (* (/ 1/2 1.0) (/ x 1.0))))) (- (log 1.0) (* x (- (* (/ 1/2 1.0) (/ x 1.0)) 1.0))))
0.0b	(/ (- (log 1.0) (* x (+ 1.0 (* (/ 1/2 1.0) (/ x 1.0))))) (- (log 1.0) (* x (- (* (/ 1/2 1.0) (/ x 1.0)) 1.0))))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

84×	`add-sqr-sqrt`
72×	`cbrt-prod`
69×	`times-frac`
60×	`add-cube-cbrt` `*-un-lft-identity`
18×	`swap-sqr` `associate-r` `associate-l`
14×	`associate-/r/`
12×	`add-exp-log`
11×	`pow1`
10×	`flip3--` `add-cbrt-cube` `flip--`
9×	`associate-/r` `associate-/l` `unswap-sqr`
7×	`div-inv`
6×	`pow1/3` `associate-/l/`
4×	`cbrt-div` `add-log-exp`
3×	`cbrt-undiv` `frac-2neg` `div-sub` `div-exp` `clear-num`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 180

Calls

4 calls:

20.0ms	(* (cbrt (/ (- (log 1.0) (* x (+ 1.0 (* (/ 1/2 1.0) (/ x 1.0))))) (- (log 1.0) (* x (- (* (/ 1/2 1.0) (/ x 1.0)) 1.0))))) (cbrt (/ (- (log 1.0) (* x (+ 1.0 (* (/ 1/2 1.0) (/ x 1.0))))) (- (log 1.0) (* x (- (* (/ 1/2 1.0) (/ x 1.0)) 1.0))))))
7.0ms	(/ (- (log 1.0) (* x (+ 1.0 (* (/ 1/2 1.0) (/ x 1.0))))) (- (log 1.0) (* x (- (* (/ 1/2 1.0) (/ x 1.0)) 1.0))))
7.0ms	(/ (- (log 1.0) (* x (+ 1.0 (* (/ 1/2 1.0) (/ x 1.0))))) (- (log 1.0) (* x (- (* (/ 1/2 1.0) (/ x 1.0)) 1.0))))
7.0ms	(/ (- (log 1.0) (* x (+ 1.0 (* (/ 1/2 1.0) (/ x 1.0))))) (- (log 1.0) (* x (- (* (/ 1/2 1.0) (/ x 1.0)) 1.0))))

series41.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(* (cbrt (/ (- (log 1.0) (* x (+ 1.0 (* (/ 1/2 1.0) (/ x 1.0))))) (- (log 1.0) (* x (- (* (/ 1/2 1.0) (/ x 1.0)) 1.0))))) (cbrt (/ (- (log 1.0) (* x (+ 1.0 (* (/ 1/2 1.0) (/ x 1.0))))) (- (log 1.0) (* x (- (* (/ 1/2 1.0) (/ x 1.0)) 1.0))))))
8.0ms	(/ (- (log 1.0) (* x (+ 1.0 (* (/ 1/2 1.0) (/ x 1.0))))) (- (log 1.0) (* x (- (* (/ 1/2 1.0) (/ x 1.0)) 1.0))))
11.0ms	(/ (- (log 1.0) (* x (+ 1.0 (* (/ 1/2 1.0) (/ x 1.0))))) (- (log 1.0) (* x (- (* (/ 1/2 1.0) (/ x 1.0)) 1.0))))
8.0ms	(/ (- (log 1.0) (* x (+ 1.0 (* (/ 1/2 1.0) (/ x 1.0))))) (- (log 1.0) (* x (- (* (/ 1/2 1.0) (/ x 1.0)) 1.0))))

simplify82.0ms

Algorithm

egg-herbie

Counts

192 → 192

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4942	9520
1	4942	9520

prune2.3s

Filtered

152 candidates to 192 candidates (-26.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	191	1	192
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	191	5	196

Merged error: 0.1b

Counts

196 → 5

regimes48.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	92
1	22	92

end0.0ms

analyze1.3s

Algorithm

Search

True	Other	False	Iter
0%	50%	50%	0
0%	50%	50%	1
0%	50%	50%	2
0%	50%	50%	3
0%	50%	50%	4
3.1%	46.8%	50%	5
4.7%	45.3%	50%	6
5.5%	44.5%	50%	7
5.9%	44.1%	50%	8
6%	43.9%	50%	9
6.1%	43.8%	50%	10
6.2%	43.8%	50%	11
6.2%	43.7%	50%	12
6.2%	43.7%	50%	13
6.2%	43.7%	50%	14

sample4.9s

Algorithm

intervals

Results

3.1s	3432×	body	1280	valid
1.1s	2439×	body	640	valid
303.0ms	1305×	body	320	valid
136.0ms	8000×	pre	80	true
83.0ms	609×	body	160	valid
12.0ms	215×	body	80	valid

Details

analyze1.3s

sample157.0ms

simplify3.0ms

prune3.0ms

localize6.0ms

rewrite16.0ms

series20.0ms

simplify78.0ms

prune150.0ms

localize11.0ms

rewrite24.0ms

series16.0ms

simplify29.0ms

prune169.0ms

localize16.0ms

rewrite24.0ms

series11.0ms

simplify44.0ms

prune180.0ms

localize16.0ms

rewrite48.0ms

series41.0ms

simplify82.0ms

prune2.3s

regimes48.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze1.3s

sample4.9s

Profiling