Details

analyze3.0ms

Algorithm

Search

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

sample16.0ms

Algorithm

intervals

Results

6.0ms	256×	pre	80	true
5.0ms	256×	body	80	valid

simplify3.0ms

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: 8.4b

Counts

2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

1.0b	(/ x0 (- 1.0 x1))
7.6b	(- (/ 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))
10.0ms	(- (/ 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)

simplify63.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4976	589
1	4976	589

prune64.0ms

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: 6.8b

Counts

58 → 2

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (- 1.0 x1) (- 1.0 x1))
0.5b	(/ (* x0 (- (/ x0 (* (- 1.0 x1) (- 1.0 x1))) x0)) (+ x0 (/ x0 (- 1.0 x1))))
1.0b	(/ x0 (- 1.0 x1))
6.1b	(- (/ x0 (* (- 1.0 x1) (- 1.0 x1))) x0)

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 121

Calls

4 calls:

9.0ms	(* (- 1.0 x1) (- 1.0 x1))
23.0ms	(/ (* x0 (- (/ x0 (* (- 1.0 x1) (- 1.0 x1))) x0)) (+ x0 (/ x0 (- 1.0 x1))))
5.0ms	(/ x0 (- 1.0 x1))
13.0ms	(- (/ x0 (* (- 1.0 x1) (- 1.0 x1))) x0)

series44.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(* (- 1.0 x1) (- 1.0 x1))
22.0ms	(/ (* x0 (- (/ x0 (* (- 1.0 x1) (- 1.0 x1))) x0)) (+ x0 (/ x0 (- 1.0 x1))))
8.0ms	(/ x0 (- 1.0 x1))
12.0ms	(- (/ x0 (* (- 1.0 x1) (- 1.0 x1))) x0)

simplify70.0ms

Algorithm

egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4943	1609
1	4943	1609

prune160.0ms

Filtered

92 candidates to 133 candidates (-44.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	131	2	133
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	133	2	135

Merged error: 5.3b

Counts

135 → 2

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(/ (* x0 (- (/ x0 (+ 1.0 (* x1 (- x1 2.0)))) x0)) (+ x0 (/ x0 (- 1.0 x1))))
0.5b	(* x1 (- x1 2.0))
1.0b	(/ x0 (- 1.0 x1))
6.1b	(- (/ x0 (+ 1.0 (* x1 (- x1 2.0)))) x0)

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 102

Calls

4 calls:

19.0ms	(/ (* x0 (- (/ x0 (+ 1.0 (* x1 (- x1 2.0)))) x0)) (+ x0 (/ x0 (- 1.0 x1))))
6.0ms	(* x1 (- x1 2.0))
5.0ms	(/ x0 (- 1.0 x1))
11.0ms	(- (/ x0 (+ 1.0 (* x1 (- x1 2.0)))) x0)

series56.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(/ (* x0 (- (/ x0 (+ 1.0 (* x1 (- x1 2.0)))) x0)) (+ x0 (/ x0 (- 1.0 x1))))
4.0ms	(* x1 (- x1 2.0))
5.0ms	(/ x0 (- 1.0 x1))
17.0ms	(- (/ x0 (+ 1.0 (* x1 (- x1 2.0)))) x0)

simplify57.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	6138	1521

prune135.0ms

Filtered

83 candidates to 114 candidates (-37.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	112	2	114
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	114	2	116

Merged error: 4.4b

Counts

116 → 2

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(* x1 (- x1 2.0))
1.0b	(/ x0 (- 1.0 x1))
5.0b	(log (exp (- (/ x0 (+ 1.0 (* x1 (- x1 2.0)))) x0)))
6.1b	(- (/ x0 (+ 1.0 (* x1 (- x1 2.0)))) x0)

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 95

Calls

4 calls:

7.0ms	(* x1 (- x1 2.0))
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)

series46.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(* x1 (- x1 2.0))
5.0ms	(/ x0 (- 1.0 x1))
19.0ms	(log (exp (- (/ x0 (+ 1.0 (* x1 (- x1 2.0)))) x0)))
17.0ms	(- (/ x0 (+ 1.0 (* x1 (- x1 2.0)))) x0)

simplify53.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5306	1153

prune149.0ms

Filtered

79 candidates to 107 candidates (-35.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	105	2	107
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	107	2	109

Merged error: 3.4b

Counts

109 → 2

regimes57.0ms

Accuracy

100% (0.0b remaining)

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

bsearch32.0ms

Steps

Iters	Range		Point
7	0.000209	0.0186	0.0003777387084960937

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

sample439.0ms

Algorithm

intervals

Results

205.0ms	8000×	pre	80	true
157.0ms	8000×	body	80	valid

Details

analyze3.0ms

sample16.0ms

simplify3.0ms

prune2.0ms

localize4.0ms

rewrite17.0ms

series12.0ms

simplify63.0ms

prune64.0ms

localize11.0ms

rewrite52.0ms

series44.0ms

simplify70.0ms

prune160.0ms

localize12.0ms

rewrite44.0ms

series56.0ms

simplify57.0ms

prune135.0ms

localize16.0ms

rewrite32.0ms

series46.0ms

simplify53.0ms

prune149.0ms

regimes57.0ms

bsearch32.0ms

simplify1.0ms

end0.0ms

analyze2.0ms

sample439.0ms

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