Details

analyze3.0ms

Algorithm

Search

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

sample23.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify37.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	634	7
1	634	7

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: 8.4b

Counts

2 → 1

localize5.0ms

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)

series12.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(/ x0 (- 1.0 x1))
7.0ms	(- (/ x0 (- 1.0 x1)) x0)

simplify45.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5110	586

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

rewrite61.0ms

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:

11.0ms	(* (- 1.0 x1) (- 1.0 x1))
26.0ms	(/ (* x0 (- (/ x0 (* (- 1.0 x1) (- 1.0 x1))) x0)) (+ x0 (/ x0 (- 1.0 x1))))
6.0ms	(/ x0 (- 1.0 x1))
14.0ms	(- (/ x0 (* (- 1.0 x1) (- 1.0 x1))) x0)

series42.0ms

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))))
5.0ms	(/ x0 (- 1.0 x1))
12.0ms	(- (/ x0 (* (- 1.0 x1) (- 1.0 x1))) x0)

simplify33.0ms

Algorithm

egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	5067	1714

prune181.0ms

Filtered

93 candidates to 133 candidates (-43.0%)

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

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 90

Calls

4 calls:

11.0ms	(+ x0 (/ x0 (- 1.0 x1)))
23.0ms	(/ (* x0 (- (/ x0 (+ 1.0 (- (* x1 x1) (* x1 2.0)))) x0)) (+ x0 (/ x0 (- 1.0 x1))))
5.0ms	(/ x0 (- 1.0 x1))
12.0ms	(- (/ x0 (+ 1.0 (- (* x1 x1) (* x1 2.0)))) x0)

series56.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(+ x0 (/ x0 (- 1.0 x1)))
27.0ms	(/ (* x0 (- (/ x0 (+ 1.0 (- (* x1 x1) (* x1 2.0)))) x0)) (+ x0 (/ x0 (- 1.0 x1))))
6.0ms	(/ x0 (- 1.0 x1))
17.0ms	(- (/ x0 (+ 1.0 (- (* x1 x1) (* x1 2.0)))) x0)

simplify43.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5061	1513

prune132.0ms

Filtered

80 candidates to 102 candidates (-27.5%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	100	2	102
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	102	2	104

Merged error: 4.3b

Counts

104 → 2

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b	(* x1 (- x1 2.0))
1.0b	(/ x0 (- 1.0 x1))
4.9b	(log (exp (- (/ x0 (+ 1.0 (* x1 (- x1 2.0)))) x0)))
6.0b	(- (/ x0 (+ 1.0 (* x1 (- x1 2.0)))) x0)

rewrite35.0ms

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

series44.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(* x1 (- x1 2.0))
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)

simplify53.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5170	1154

prune156.0ms

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: 3.3b

Counts

109 → 2

regimes62.0ms

Accuracy

100% (0.0b remaining)

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

bsearch12.0ms

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

sample580.0ms

Algorithm

intervals

Results

147.0ms

8000×

body

valid

Details

analyze3.0ms

sample23.0ms

simplify37.0ms

prune3.0ms

localize5.0ms

rewrite17.0ms

series12.0ms

simplify45.0ms

prune66.0ms

localize10.0ms

rewrite61.0ms

series42.0ms

simplify33.0ms

prune181.0ms

localize13.0ms

rewrite54.0ms

series56.0ms

simplify43.0ms

prune132.0ms

localize18.0ms

rewrite35.0ms

series44.0ms

simplify53.0ms

prune156.0ms

regimes62.0ms

bsearch12.0ms

simplify2.0ms

end0.0ms

sample580.0ms

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