Details

analyze3.0ms

Algorithm

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1

sample21.0ms

Algorithm

intervals

Results

10.0ms	256×	pre	80	true
5.0ms	256×	body	80	valid

simplify2.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	7
1	6	7

prune2.0ms

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: 8.3b

Counts

2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

1.0b	(/ x0 (- 1.0 x1))
7.5b	(- (/ x0 (- 1.0 x1)) x0)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
16×	`times-frac`
12×	`add-cube-cbrt`
6×	`difference-of-squares`
5×	`associate-/r*` `distribute-lft-out--`
4×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`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:

5.0ms	(/ x0 (- 1.0 x1))
11.0ms	(- (/ x0 (- 1.0 x1)) x0)

series13.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(/ x0 (- 1.0 x1))
7.0ms	(- (/ x0 (- 1.0 x1)) x0)

simplify63.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4976	589
1	4976	589

prune66.0ms

Filtered

44 candidates to 57 candidates (-29.5%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	55	2	57
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	56	2	58

Merged error: 6.7b

Counts

58 → 2

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(+ x0 (/ x0 (- 1.0 x1)))
0.5b	(* (- 1.0 x1) (- 1.0 x1))
1.0b	(/ x0 (- 1.0 x1))
6.0b	(- (/ x0 (* (- 1.0 x1) (- 1.0 x1))) x0)

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

44×	`*-un-lft-identity`
40×	`add-sqr-sqrt`
18×	`add-cube-cbrt`
16×	`times-frac`
11×	`pow1` `distribute-lft-out--`
10×	`difference-of-squares`
8×	`add-exp-log` `flip3--` `add-cbrt-cube` `flip--` `add-log-exp`
7×	`swap-sqr`
5×	`associate-r` `associate-l` `associate-/r*`
4×	`frac-times`
3×	`sub-neg` `associate-/l*`
2×	`associate-r/` `associate-l/` `associate-/r/`
1×	`cbrt-undiv` `+-commutative` `pow2` `distribute-rgt-in` `frac-2neg` `distribute-lft-in` `flip3-+` `pow-plus` `diff-log` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `sum-log` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `flip-+` `div-inv` `distribute-lft-out` `unswap-sqr`

Counts

4 → 106

Calls

4 calls:

9.0ms	(+ x0 (/ x0 (- 1.0 x1)))
9.0ms	(* (- 1.0 x1) (- 1.0 x1))
5.0ms	(/ x0 (- 1.0 x1))
15.0ms	(- (/ x0 (* (- 1.0 x1) (- 1.0 x1))) x0)

series27.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(+ x0 (/ x0 (- 1.0 x1)))
2.0ms	(* (- 1.0 x1) (- 1.0 x1))
6.0ms	(/ x0 (- 1.0 x1))
13.0ms	(- (/ x0 (* (- 1.0 x1) (- 1.0 x1))) x0)

simplify35.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5133	1195

prune150.0ms

Filtered

82 candidates to 118 candidates (-43.9%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	116	2	118
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	118	2	120

Merged error: 5.2b

Counts

120 → 2

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(* x1 (- x1 2.0))
0.5b	(+ x0 (/ x0 (- 1.0 x1)))
1.0b	(/ x0 (- 1.0 x1))
6.0b	(- (/ x0 (+ 1.0 (* x1 (- x1 2.0)))) x0)

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

6.0ms	(* x1 (- x1 2.0))
9.0ms	(+ x0 (/ x0 (- 1.0 x1)))
5.0ms	(/ x0 (- 1.0 x1))
10.0ms	(- (/ x0 (+ 1.0 (* x1 (- x1 2.0)))) x0)

series34.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(* x1 (- x1 2.0))
6.0ms	(+ x0 (/ x0 (- 1.0 x1)))
5.0ms	(/ x0 (- 1.0 x1))
17.0ms	(- (/ x0 (+ 1.0 (* x1 (- x1 2.0)))) x0)

simplify41.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	4979	1007
1	4979	1007

prune120.0ms

Filtered

73 candidates to 99 candidates (-35.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	97	2	99
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	99	2	101

Merged error: 4.3b

Counts

101 → 2

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(+ x0 (/ x0 (- 1.0 x1)))
1.0b	(/ x0 (- 1.0 x1))
4.8b	(log (exp (- (/ x0 (+ 1.0 (* x1 (- x1 2.0)))) x0)))
6.0b	(- (/ x0 (+ 1.0 (* x1 (- x1 2.0)))) x0)

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 83

Calls

4 calls:

9.0ms	(+ x0 (/ x0 (- 1.0 x1)))
5.0ms	(/ x0 (- 1.0 x1))
9.0ms	(log (exp (- (/ x0 (+ 1.0 (* x1 (- x1 2.0)))) x0)))
9.0ms	(- (/ x0 (+ 1.0 (* x1 (- x1 2.0)))) x0)

series49.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(+ x0 (/ x0 (- 1.0 x1)))
5.0ms	(/ x0 (- 1.0 x1))
18.0ms	(log (exp (- (/ x0 (+ 1.0 (* x1 (- x1 2.0)))) x0)))
19.0ms	(- (/ x0 (+ 1.0 (* x1 (- x1 2.0)))) x0)

simplify51.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4976	1143
1	4976	1143

prune147.0ms

Filtered

74 candidates to 95 candidates (-28.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	93	2	95
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	95	2	97

Merged error: 3.2b

Counts

97 → 2

regimes59.0ms

Accuracy

100% (0.0b remaining)

Error of 3.2b against oracle of 3.2b and baseline of 4.3b

bsearch33.0ms

Steps

Iters	Range		Point
7	0.000209	0.0186	0.00021208908081054686

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	70
1	39	70

end0.0ms

analyze2.0ms

Algorithm

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1

sample463.0ms

Algorithm

intervals

Results

213.0ms	8000×	pre	80	true
163.0ms	8000×	body	80	valid

Details

analyze3.0ms

sample21.0ms

simplify2.0ms

prune2.0ms

localize4.0ms

rewrite17.0ms

series13.0ms

simplify63.0ms

prune66.0ms

localize10.0ms

rewrite41.0ms

series27.0ms

simplify35.0ms

prune150.0ms

localize12.0ms

rewrite33.0ms

series34.0ms

simplify41.0ms

prune120.0ms

localize16.0ms

rewrite34.0ms

series49.0ms

simplify51.0ms

prune147.0ms

regimes59.0ms

bsearch33.0ms

simplify1.0ms

end0.0ms

analyze2.0ms

sample463.0ms

Profiling