Details

analyze3.0ms

Algorithm

Search

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

sample17.0ms

Algorithm

intervals

Results

7.0ms	256×	pre	80	true
5.0ms	256×	body	80	valid

simplify39.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	634	7
1	634	7

prune6.0ms

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

localize5.0ms

Local error

Found 2 expressions with local error:

1.0b	(/ x0 (- 1.0 x1))
7.4b	(- (/ x0 (- 1.0 x1)) x0)

rewrite18.0ms

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)

series12.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(/ x0 (- 1.0 x1))
6.0ms	(- (/ x0 (- 1.0 x1)) x0)

simplify43.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5110	586

prune65.0ms

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))
5.9b	(- (/ x0 (* (- 1.0 x1) (- 1.0 x1))) x0)

rewrite43.0ms

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))
16.0ms	(- (/ x0 (* (- 1.0 x1) (- 1.0 x1))) x0)

series26.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(+ x0 (/ x0 (- 1.0 x1)))
2.0ms	(* (- 1.0 x1) (- 1.0 x1))
5.0ms	(/ x0 (- 1.0 x1))
12.0ms	(- (/ x0 (* (- 1.0 x1) (- 1.0 x1))) x0)

simplify44.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4961	1202
1	4961	1202

prune145.0ms

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

localize15.0ms

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))
5.9b	(- (/ x0 (+ 1.0 (* x1 (- x1 2.0)))) x0)

rewrite32.0ms

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

series32.0ms

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)

simplify50.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4982	1016
1	4982	1016

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: 4.2b

Counts

101 → 2

localize17.0ms

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)))
5.9b	(- (/ x0 (+ 1.0 (* x1 (- x1 2.0)))) x0)

rewrite37.0ms

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:

11.0ms	(+ 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)

series45.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify47.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4991	1142
1	4991	1142

prune141.0ms

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

regimes56.0ms

Accuracy

100% (0.0b remaining)

Error of 3.3b against oracle of 3.3b and baseline of 4.4b

bsearch10.0ms

Steps

Iters	Range		Point
7	0.000209	0.0186	0.00021208908081054686

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	64	70
1	64	70

end0.0ms

sample454.0ms

Algorithm

intervals

Results

208.0ms	8000×	pre	80	true
161.0ms	8000×	body	80	valid

Details

analyze3.0ms

sample17.0ms

simplify39.0ms

prune6.0ms

localize5.0ms

rewrite18.0ms

series12.0ms

simplify43.0ms

prune65.0ms

localize10.0ms

rewrite43.0ms

series26.0ms

simplify44.0ms

prune145.0ms

localize15.0ms

rewrite32.0ms

series32.0ms

simplify50.0ms

prune120.0ms

localize17.0ms

rewrite37.0ms

series45.0ms

simplify47.0ms

prune141.0ms

regimes56.0ms

bsearch10.0ms

simplify2.0ms

end0.0ms

sample454.0ms

Profiling