Details

sample146.0ms

Algorithm

intervals

Results

81.0ms	103×	body	1280	valid
39.0ms	88×	body	640	valid
9.0ms	41×	body	320	valid
5.0ms	256×	pre	80	true
2.0ms	16×	body	160	valid
0.0ms	8×	body	80	valid

simplify2.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	9
1	11	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: 61.3b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (log (- 1.0 x)) (log (+ 1.0 x)))
4.8b	(log (+ 1.0 x))
5.0b	(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:

7.0ms	(/ (log (- 1.0 x)) (log (+ 1.0 x)))
4.0ms	(log (+ 1.0 x))
4.0ms	(log (- 1.0 x))

series22.0ms

Counts

3 → 9

Calls

3 calls:

16.0ms	(/ (log (- 1.0 x)) (log (+ 1.0 x)))
3.0ms	(log (+ 1.0 x))
3.0ms	(log (- 1.0 x))

simplify47.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5012	1097

prune174.0ms

Filtered

55 candidates to 78 candidates (-41.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	72	6	78
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	72	7	79

Merged error: 58.9b

Counts

79 → 7

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (log (- 1.0 x)) (+ (* 1.0 x) (+ (log 1.0) (* (* (/ x 1.0) (/ x 1.0)) -1/2))))
0.0b	(* (* (/ x 1.0) (/ x 1.0)) -1/2)
5.0b	(log (- 1.0 x))

rewrite27.0ms

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-l/` `associate-/l`
3×	`associate-r` `pow-prod-down` `associate-/r*` `add-log-exp`
2×	`flip3--` `div-sub` `associate-/r/` `flip--`
1×	`frac-times` `frac-2neg` `flip3-+` `associate-r/` `rem-log-exp` `associate-l` `clear-num` `-commutative` `flip-+` `div-inv` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 79

Calls

3 calls:

11.0ms	(/ (log (- 1.0 x)) (+ (* 1.0 x) (+ (log 1.0) (* (* (/ x 1.0) (/ x 1.0)) -1/2))))
10.0ms	(* (* (/ x 1.0) (/ x 1.0)) -1/2)
4.0ms	(log (- 1.0 x))

series20.0ms

Counts

3 → 9

Calls

3 calls:

11.0ms	(/ (log (- 1.0 x)) (+ (* 1.0 x) (+ (log 1.0) (* (* (/ x 1.0) (/ x 1.0)) -1/2))))
6.0ms	(* (* (/ x 1.0) (/ x 1.0)) -1/2)
3.0ms	(log (- 1.0 x))

simplify28.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (17.0ms)

Iter	Nodes	Cost
0	5506	1761

prune195.0ms

Filtered

62 candidates to 88 candidates (-41.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	87	1	88
Fresh	3	2	5
Picked	1	0	1
Done	0	1	1
Total	91	4	95

Merged error: 0.0b

Counts

95 → 4

localize16.0ms

Local error

Found 3 expressions with local error:

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

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 95

Calls

3 calls:

11.0ms	(* (* x (/ (/ x 1.0) 1.0)) 1/2)
10.0ms	(* (* (/ x 1.0) (/ x 1.0)) -1/2)
13.0ms	(/ (- (log 1.0) (+ (* 1.0 x) (* (* x (/ (/ x 1.0) 1.0)) 1/2))) (+ (* 1.0 x) (+ (log 1.0) (* (* (/ x 1.0) (/ x 1.0)) -1/2))))

series18.0ms

Counts

3 → 9

Calls

3 calls:

3.0ms	(* (* x (/ (/ x 1.0) 1.0)) 1/2)
6.0ms	(* (* (/ x 1.0) (/ x 1.0)) -1/2)
9.0ms	(/ (- (log 1.0) (+ (* 1.0 x) (* (* x (/ (/ x 1.0) 1.0)) 1/2))) (+ (* 1.0 x) (+ (log 1.0) (* (* (/ x 1.0) (/ x 1.0)) -1/2))))

simplify64.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4957	2383
1	4957	2383

prune251.0ms

Filtered

67 candidates to 104 candidates (-55.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	101	3	104
Fresh	1	1	2
Picked	0	1	1
Done	1	0	1
Total	103	5	108

Merged error: 0.0b

Counts

108 → 5

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
64×	`add-sqr-sqrt`
60×	`add-cube-cbrt` `*-un-lft-identity`
21×	`add-exp-log`
18×	`associate-/r*`
15×	`add-cbrt-cube`
11×	`associate-/r/`
9×	`pow1`
8×	`div-exp`
6×	`associate-r` `associate-l` `div-inv` `associate-/l*`
5×	`flip3--` `flip--`
4×	`cbrt-undiv` `associate-*r/` `add-log-exp`
3×	`flip3-+` `flip-+`
2×	`distribute-rgt-in` `rec-exp` `frac-2neg` `distribute-lft-in` `1-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `associate-/l/` `unswap-sqr`
1×	`pow-flip` `inv-pow`

Counts

4 → 159

Calls

4 calls:

9.0ms	(/ 1 (/ (+ (log 1.0) (* x (+ (* (/ x (* 1.0 1.0)) -1/2) 1.0))) (- (log 1.0) (* x (+ 1.0 (* (/ x 1.0) (/ 1/2 1.0)))))))
11.0ms	(* x (+ (* (/ x (* 1.0 1.0)) -1/2) 1.0))
6.0ms	(* x (+ 1.0 (* (/ x 1.0) (/ 1/2 1.0))))
8.0ms	(/ (+ (log 1.0) (* x (+ (* (/ x (* 1.0 1.0)) -1/2) 1.0))) (- (log 1.0) (* x (+ 1.0 (* (/ x 1.0) (/ 1/2 1.0))))))

series32.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(/ 1 (/ (+ (log 1.0) (* x (+ (* (/ x (* 1.0 1.0)) -1/2) 1.0))) (- (log 1.0) (* x (+ 1.0 (* (/ x 1.0) (/ 1/2 1.0)))))))
6.0ms	(* x (+ (* (/ x (* 1.0 1.0)) -1/2) 1.0))
9.0ms	(* x (+ 1.0 (* (/ x 1.0) (/ 1/2 1.0))))
8.0ms	(/ (+ (log 1.0) (* x (+ (* (/ x (* 1.0 1.0)) -1/2) 1.0))) (- (log 1.0) (* x (+ 1.0 (* (/ x 1.0) (/ 1/2 1.0))))))

simplify70.0ms

Algorithm

egg-herbie

Counts

171 → 171

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4985	5952
1	4985	5952

prune543.0ms

Filtered

122 candidates to 171 candidates (-40.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	171	0	171
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	171	5	176

Merged error: 0.0b

Counts

176 → 5

regimes47.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	33
1	24	33

end0.0ms

sample4.4s

Algorithm

intervals

Results

2.8s	3441×	body	1280	valid
979.0ms	2473×	body	640	valid
257.0ms	1233×	body	320	valid
133.0ms	8000×	pre	80	true
78.0ms	618×	body	160	valid
13.0ms	235×	body	80	valid

Details

sample146.0ms

simplify2.0ms

prune3.0ms

localize7.0ms

rewrite16.0ms

series22.0ms

simplify47.0ms

prune174.0ms

localize12.0ms

rewrite27.0ms

series20.0ms

simplify28.0ms

prune195.0ms

localize16.0ms

rewrite38.0ms

series18.0ms

simplify64.0ms

prune251.0ms

localize18.0ms

rewrite40.0ms

series32.0ms

simplify70.0ms

prune543.0ms

regimes47.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample4.4s

Profiling