Details

sample20.0ms

Algorithm

intervals

Results

9.0ms

256×

body

valid

simplify23.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	15	4
1	36	4
2	73	4
3	127	4
4	167	4
5	185	4
6	187	4
7	187	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: 14.0b

Counts

2 → 1

localize9.0ms

Local error

Found 1 expressions with local error:

13.6b

(/ (* (* x 2.0) y) (- x y))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-exp-log` `add-cbrt-cube`
7×	`add-sqr-sqrt` `*-un-lft-identity`
5×	`times-frac` `associate-/r*`
3×	`cbrt-undiv` `add-cube-cbrt` `div-exp` `prod-exp` `cbrt-unprod`
2×	`associate-/r/` `distribute-lft-out--` `difference-of-squares`
1×	`pow1` `expm1-log1p-u` `flip3--` `frac-2neg` `clear-num` `flip--` `log1p-expm1-u` `div-inv` `associate-/l*` `add-log-exp`

Counts

1 → 31

Calls

1 calls:

14.0ms

(/ (* (* x 2.0) y) (- x y))

series70.0ms

Counts

1 → 3

Calls

1 calls:

70.0ms

(/ (* (* x 2.0) y) (- x y))

simplify31.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	214	194
1	1150	161
2	5001	161

prune53.0ms

Filtered

34 candidates to 23 candidates (67.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	31	3	34
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	31	4	35

Merged error: 0.0b

Counts

35 → 4

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- x y))
8.2b	(* (* x 2.0) (/ y (- x y)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt` `*-un-lft-identity`
30×	`times-frac`
21×	`add-cube-cbrt` `associate-r`
16×	`add-exp-log` `add-cbrt-cube`
7×	`pow1` `distribute-lft-out--` `difference-of-squares`
6×	`prod-exp` `cbrt-unprod`
5×	`associate-/r*`
4×	`associate-/r/`
3×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-/l*`
2×	`expm1-log1p-u` `flip3--` `flip--` `log1p-expm1-u` `div-inv` `add-log-exp`
1×	`frac-2neg` `associate-r/` `associate-l` `clear-num` `-commutative`

Counts

2 → 82

Calls

2 calls:

5.0ms	(/ y (- x y))
10.0ms	(* (* x 2.0) (/ y (- x y)))

series107.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(/ y (- x y))
61.0ms	(* (* x 2.0) (/ y (- x y)))

simplify43.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	315	451
1	1665	401
2	5001	401

prune159.0ms

Filtered

88 candidates to 58 candidates (65.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	87	1	88
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	88	4	92

Merged error: 0.0b

Counts

92 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ y (- x y))
0.0b	(expm1 (/ y (- x y)))
0.0b	(log1p (expm1 (/ y (- x y))))
8.2b	(* (* x 2.0) (log1p (expm1 (/ y (- x y)))))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt` `*-un-lft-identity`
15×	`add-cube-cbrt` `times-frac`
11×	`add-exp-log` `add-cbrt-cube`
9×	`pow1`
5×	`associate-/r*` `log1p-expm1-u`
4×	`expm1-log1p-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
3×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `associate-/l*`
2×	`associate-/r/`
1×	`cbrt-undiv` `log1p-udef` `expm1-log1p` `flip3--` `frac-2neg` `log1p-expm1` `div-exp` `associate-l` `clear-num` `*-commutative` `flip--` `div-inv` `expm1-udef`

Counts

4 → 81

Calls

4 calls:

5.0ms	(/ y (- x y))
1.0ms	(expm1 (/ y (- x y)))
1.0ms	(log1p (expm1 (/ y (- x y))))
8.0ms	(* (* x 2.0) (log1p (expm1 (/ y (- x y)))))

series339.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(/ y (- x y))
95.0ms	(expm1 (/ y (- x y)))
93.0ms	(log1p (expm1 (/ y (- x y))))
108.0ms	(* (* x 2.0) (log1p (expm1 (/ y (- x y)))))

simplify131.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	246	444
1	974	378
2	4815	378
3	5001	378

prune183.0ms

Filtered

93 candidates to 70 candidates (75.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	93	4	97

Merged error: 0.0b

Counts

97 → 4

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- x y) y)
8.6b	(/ (* x 2.0) (/ (- x y) y))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

64×	`times-frac`
50×	`add-sqr-sqrt` `*-un-lft-identity`
30×	`add-cube-cbrt`
22×	`associate-/r*`
16×	`add-exp-log` `add-cbrt-cube`
10×	`distribute-lft-out--` `difference-of-squares`
7×	`cbrt-undiv` `div-exp`
6×	`associate-/l*`
4×	`div-inv`
2×	`pow1` `expm1-log1p-u` `frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`flip3--` `div-sub` `associate-/r/` `flip--`

Counts

2 → 100

Calls

2 calls:

6.0ms	(/ (- x y) y)
8.0ms	(/ (* x 2.0) (/ (- x y) y))

series92.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(/ (- x y) y)
63.0ms	(/ (* x 2.0) (/ (- x y) y))

simplify50.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	392	620
1	1920	563
2	5001	562

prune379.0ms

Filtered

106 candidates to 76 candidates (71.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	105	1	106
Fresh	1	0	1
Picked	0	1	1
Done	0	2	2
Total	106	4	110

Merged error: 0b

Counts

110 → 4

regimes84.0ms

Accuracy

94.8% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 6.8b

bsearch55.0ms

Steps

Iters	Range		Point
9	1.2746623650553951e-89	4.662004956175406e-84	4.587569430300808e-84
6	-4.1115514380901975e+36	-3.164714101386257e+35	-7.119606653325013e+35

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	10
1	23	10

end0.0ms

sample306.0ms

Algorithm

intervals

Results

180.0ms

8000×

body

valid