Details

sample20.0ms

Algorithm

intervals

Results

6.0ms	195×	body	80	valid
2.0ms	15×	body	1280	valid
2.0ms	21×	body	320	valid
2.0ms	15×	body	640	valid
1.0ms	10×	body	160	valid

simplify62.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	16	5
1	35	5
2	74	5
3	128	5
4	252	5
5	374	5
6	514	5
7	642	5
8	777	5
9	1010	5
10	1686	5
11	5001	5

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: 22.7b

Counts

2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- 1.0 x) y)
2.7b	(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
8.0b	(/ (* (- 1.0 x) y) (+ y 1.0))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 63

Calls

3 calls:

6.0ms	(* (- 1.0 x) y)
7.0ms	(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
8.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))

series139.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(* (- 1.0 x) y)
66.0ms	(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
45.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))

simplify43.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	338	401
1	1456	359
2	5001	359

prune124.0ms

Filtered

72 candidates to 51 candidates (70.8%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	68	4	72
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	69	4	73

Merged error: 0.1b

Counts

73 → 4

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ y (+ y 1.0))
0.0b	(* (- 1.0 x) (/ y (+ y 1.0)))
2.7b	(- 1.0 (* (- 1.0 x) (/ y (+ y 1.0))))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

37×	`*-un-lft-identity`
28×	`add-sqr-sqrt`
25×	`times-frac`
21×	`add-cube-cbrt`
18×	`associate-r`
10×	`add-exp-log` `add-cbrt-cube`
7×	`distribute-lft-out`
5×	`pow1` `associate-l` `add-log-exp`
4×	`associate-/r*` `associate-/r/`
3×	`flip3--` `flip--` `associate-/l*`
2×	`cbrt-undiv` `frac-times` `flip3-+` `div-exp` `associate-*l/` `prod-exp` `cbrt-unprod` `flip-+` `div-inv` `unswap-sqr`
1×	`sub-neg` `frac-2neg` `diff-log` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 88

Calls

3 calls:

7.0ms	(/ y (+ y 1.0))
11.0ms	(* (- 1.0 x) (/ y (+ y 1.0)))
3.0ms	(- 1.0 (* (- 1.0 x) (/ y (+ y 1.0))))

series176.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(/ y (+ y 1.0))
69.0ms	(* (- 1.0 x) (/ y (+ y 1.0)))
67.0ms	(- 1.0 (* (- 1.0 x) (/ y (+ y 1.0))))

simplify51.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	400	572
1	1790	526
2	5002	526

prune144.0ms

Filtered

97 candidates to 70 candidates (72.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	97	4	101

Merged error: 0.1b

Counts

101 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- 1.0 x) y)
0.1b	(* (/ (* (- 1.0 x) y) (- (* y y) (* 1.0 1.0))) (- y 1.0))
4.4b	(- 1.0 (* (/ (* (- 1.0 x) y) (- (* y y) (* 1.0 1.0))) (- y 1.0)))
17.8b	(/ (* (- 1.0 x) y) (- (* y y) (* 1.0 1.0)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 105

Calls

4 calls:

6.0ms	(* (- 1.0 x) y)
14.0ms	(* (/ (* (- 1.0 x) y) (- (* y y) (* 1.0 1.0))) (- y 1.0))
3.0ms	(- 1.0 (* (/ (* (- 1.0 x) y) (- (* y y) (* 1.0 1.0))) (- y 1.0)))
9.0ms	(/ (* (- 1.0 x) y) (- (* y y) (* 1.0 1.0)))

series355.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* (- 1.0 x) y)
77.0ms	(* (/ (* (- 1.0 x) y) (- (* y y) (* 1.0 1.0))) (- y 1.0))
159.0ms	(- 1.0 (* (/ (* (- 1.0 x) y) (- (* y y) (* 1.0 1.0))) (- y 1.0)))
90.0ms	(/ (* (- 1.0 x) y) (- (* y y) (* 1.0 1.0)))

simplify83.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 1 (17.0ms)

Iter	Nodes	Cost
0	567	1027
1	3078	900
2	5001	900

prune210.0ms

Filtered

117 candidates to 82 candidates (70.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	117	4	121

Merged error: 0.1b

Counts

121 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow (- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0))) 3)
2.7b	(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
8.0b	(/ (* (- 1.0 x) y) (+ y 1.0))
14.5b	(cbrt (pow (- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0))) 3))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

26×	`*-un-lft-identity`
22×	`add-sqr-sqrt`
16×	`cbrt-prod`
12×	`add-cube-cbrt`
10×	`add-exp-log` `unpow-prod-down` `cube-prod` `add-cbrt-cube`
6×	`add-log-exp`
5×	`pow1` `distribute-lft-out--` `difference-of-squares`
4×	`cube-div` `flip3--` `times-frac` `associate-/r*` `flip--`
3×	`pow-unpow`
2×	`cbrt-undiv` `cube-mult` `cbrt-div` `unpow3` `div-exp` `associate-*l/` `associate-/r/` `associate-/l/` `distribute-lft-out` `sqr-pow`
1×	`pow-to-exp` `sub-neg` `pow-pow` `frac-2neg` `flip3-+` `pow1/3` `diff-log` `pow-exp` `prod-exp` `clear-num` `rem-cbrt-cube` `cbrt-unprod` `flip-+` `div-inv` `associate-/l*` `rem-cube-cbrt`

Counts

4 → 97

Calls

4 calls:

12.0ms	(pow (- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0))) 3)
7.0ms	(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
8.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))
8.0ms	(cbrt (pow (- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0))) 3))

series352.0ms

Counts

4 → 12

Calls

4 calls:

175.0ms	(pow (- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0))) 3)
67.0ms	(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
46.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))
64.0ms	(cbrt (pow (- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0))) 3))

simplify55.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	444	908
1	1874	846
2	5001	840

prune168.0ms

Filtered

109 candidates to 67 candidates (61.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	108	1	109
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	108	5	113

Merged error: 0.1b

Counts

113 → 5

regimes160.0ms

Accuracy

99.1% (0.1b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 14.6b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	18
1	32	18

end0.0ms

sample529.0ms

Algorithm

intervals

Results

184.0ms	6060×	body	80	valid
81.0ms	718×	body	640	valid
51.0ms	376×	body	1280	valid
44.0ms	531×	body	320	valid
20.0ms	315×	body	160	valid