Details

sample42.0ms

Algorithm

intervals

Results

12.0ms	88×	body	10240	exit
12.0ms	74×	body	1280	valid
6.0ms	60×	body	640	valid
2.0ms	28×	body	320	valid
2.0ms	80×	body	80	valid
1.0ms	14×	body	160	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	4
1	8	4
2	8	4

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: 43.8b

Counts

2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

0.5b	(/ (exp x) (- (exp x) 1.0))
3.8b	(- (exp x) 1.0)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt` `*-un-lft-identity`
15×	`times-frac`
12×	`add-cube-cbrt`
5×	`associate-/r*` `distribute-lft-out--` `difference-of-squares`
4×	`add-cbrt-cube` `add-log-exp`
3×	`add-exp-log` `associate-/l*`
2×	`pow1` `flip3--` `associate-/r/` `flip--`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-exp` `clear-num` `div-inv`

Counts

2 → 51

Calls

2 calls:

7.0ms	(/ (exp x) (- (exp x) 1.0))
4.0ms	(- (exp x) 1.0)

series41.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(/ (exp x) (- (exp x) 1.0))
15.0ms	(- (exp x) 1.0)

simplify68.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 2 (15.0ms)

Iter	Nodes	Cost
0	180	378
1	542	357
2	2210	354
3	5001	354

prune123.0ms

Filtered

57 candidates to 41 candidates (71.9%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	52	5	57
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	53	5	58

Merged error: 0.0b

Counts

58 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)
0.0b	(/ (exp x) (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))
0.1b	(* (pow x 2) (+ (* x 1/6) 1/2))
0.3b	(* x 1/6)

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
17×	`add-cube-cbrt` `*-un-lft-identity`
12×	`add-exp-log`
11×	`associate-l`
10×	`add-cbrt-cube`
9×	`times-frac`
6×	`pow1` `associate-r` `add-log-exp`
5×	`unswap-sqr`
4×	`unpow-prod-down` `prod-exp`
3×	`flip3-+` `associate-/r` `flip-+` `associate-/l`
2×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in` `associate-r/` `associate-/r/` `-commutative` `cbrt-unprod` `unpow2` `sqr-pow`
1×	`cbrt-undiv` `+-commutative` `pow-to-exp` `frac-2neg` `div-exp` `pow-prod-down` `pow-exp` `clear-num` `sum-log` `div-inv`

Counts

4 → 91

Calls

4 calls:

9.0ms	(+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)
10.0ms	(/ (exp x) (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))
8.0ms	(* (pow x 2) (+ (* x 1/6) 1/2))
4.0ms	(* x 1/6)

series149.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)
41.0ms	(/ (exp x) (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))
67.0ms	(* (pow x 2) (+ (* x 1/6) 1/2))
14.0ms	(* x 1/6)

simplify66.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	429	746
1	2022	686
2	5001	684

prune230.0ms

Filtered

103 candidates to 72 candidates (69.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	102	1	103
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	103	5	108

Merged error: 0.0b

Counts

108 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x 1/6)
0.3b	(* x 1/6)
1.0b	(sqrt (/ (exp x) (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)))
1.0b	(sqrt (/ (exp x) (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt`
30×	`sqrt-prod`
22×	`add-cube-cbrt` `*-un-lft-identity`
20×	`times-frac`
10×	`pow1`
8×	`add-exp-log` `add-cbrt-cube`
6×	`associate-r` `associate-l`
4×	`rem-sqrt-square` `associate-/r/` `add-log-exp`
2×	`sqrt-pow1` `flip3-+` `pow1/2` `sqrt-div` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `div-inv` `unswap-sqr`

Counts

4 → 90

Calls

4 calls:

4.0ms	(* x 1/6)
4.0ms	(* x 1/6)
11.0ms	(sqrt (/ (exp x) (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)))
10.0ms	(sqrt (/ (exp x) (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)))

series140.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(* x 1/6)
17.0ms	(* x 1/6)
53.0ms	(sqrt (/ (exp x) (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)))
56.0ms	(sqrt (/ (exp x) (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)))

simplify45.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	297	994
1	1128	924
2	5001	908

prune305.0ms

Filtered

102 candidates to 76 candidates (74.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	102	0	102
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	102	5	107

Merged error: 0.0b

Counts

107 → 5

localize5.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1.0 (exp x))
0.0b	(/ 1 (- 1 (/ 1.0 (exp x))))
3.7b	(- 1 (/ 1.0 (exp x)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

64×	`add-sqr-sqrt`
44×	`*-un-lft-identity`
43×	`times-frac`
24×	`add-cube-cbrt`
20×	`difference-of-squares`
11×	`associate-/r*`
8×	`add-exp-log`
7×	`add-cbrt-cube`
6×	`associate-/l*`
5×	`distribute-lft-out--` `add-log-exp`
4×	`pow1`
3×	`div-exp`
2×	`cbrt-undiv` `flip3--` `frac-2neg` `clear-num` `associate-/r/` `flip--` `div-inv`
1×	`sub-neg` `rec-exp` `pow-flip` `diff-log` `1-exp` `inv-pow`

Counts

3 → 97

Calls

3 calls:

4.0ms	(/ 1.0 (exp x))
12.0ms	(/ 1 (- 1 (/ 1.0 (exp x))))
7.0ms	(- 1 (/ 1.0 (exp x)))

series100.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms	(/ 1.0 (exp x))
51.0ms	(/ 1 (- 1 (/ 1.0 (exp x))))
36.0ms	(- 1 (/ 1.0 (exp x)))

simplify37.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	310	724
1	1324	622
2	5002	621

prune141.0ms

Filtered

106 candidates to 61 candidates (57.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	105	1	106
Fresh	1	1	2
Picked	1	0	1
Done	0	2	2
Total	107	4	111

Merged error: 0.0b

Counts

111 → 4

regimes47.0ms

Accuracy

0% (0.9b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.0b

bsearch0.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	15	7
1	15	7

end0.0ms

sample1.1s

Algorithm

intervals

Results

380.0ms	2299×	body	1280	valid
270.0ms	2480×	body	10240	exit
174.0ms	1628×	body	640	valid
57.0ms	843×	body	320	valid
55.0ms	2772×	body	80	valid
20.0ms	462×	body	160	valid