Details

sample39.0ms

Algorithm

intervals

Results

10.0ms	35×	body	1280	valid
9.0ms	194×	body	80	valid
6.0ms	29×	body	640	valid
2.0ms	14×	body	320	valid
1.0ms	6×	body	160	valid

simplify14.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	12	4
1	24	4
2	48	4
3	71	4
4	79	4
5	79	4

prune3.0ms

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: 2.5b

Counts

2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.1b	(/ (sin y) y)
2.4b	(/ (* x (/ (sin y) y)) z)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
22×	`times-frac`
21×	`add-cube-cbrt` `*-un-lft-identity`
19×	`add-exp-log` `add-cbrt-cube`
13×	`associate-r`
6×	`cbrt-undiv` `div-exp` `associate-/r*`
5×	`pow1`
4×	`prod-exp` `cbrt-unprod` `associate-/l*`
3×	`associate-l` `div-inv` `add-log-exp`
2×	`frac-2neg` `associate-*r/` `clear-num` `unswap-sqr`
1×	`pow-prod-down` `*-commutative` `associate-/l/`

Counts

3 → 83

Calls

3 calls:

7.0ms	(* x (/ (sin y) y))
4.0ms	(/ (sin y) y)
7.0ms	(/ (* x (/ (sin y) y)) z)

series172.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(* x (/ (sin y) y))
30.0ms	(/ (sin y) y)
80.0ms	(/ (* x (/ (sin y) y)) z)

simplify53.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	326	487
1	1643	420
2	5001	420

prune200.0ms

Filtered

92 candidates to 66 candidates (71.7%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	85	7	92
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	86	7	93

Merged error: 0.0b

Counts

93 → 7

localize9.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.1b	(/ (sin y) y)
2.6b	(* (* x (/ (sin y) y)) (/ 1 z))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-exp-log`
31×	`add-sqr-sqrt` `add-cbrt-cube`
28×	`times-frac`
26×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
22×	`prod-exp`
12×	`div-exp` `cbrt-unprod`
10×	`pow1`
7×	`cbrt-undiv`
4×	`associate-r/` `associate-l*` `pow-prod-down`
3×	`rec-exp` `1-exp` `associate-/r` `div-inv` `associate-/l` `add-log-exp`
2×	`*-commutative` `unswap-sqr`
1×	`frac-times` `frac-2neg` `associate-*l/` `clear-num` `un-div-inv`

Counts

3 → 105

Calls

3 calls:

8.0ms	(* x (/ (sin y) y))
4.0ms	(/ (sin y) y)
10.0ms	(* (* x (/ (sin y) y)) (/ 1 z))

series195.0ms

Counts

3 → 9

Calls

3 calls:

69.0ms	(* x (/ (sin y) y))
30.0ms	(/ (sin y) y)
95.0ms	(* (* x (/ (sin y) y)) (/ 1 z))

simplify77.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (68.0ms)

Iter	Nodes	Cost
0	480	667
1	2656	552
2	5001	539

prune216.0ms

Filtered

114 candidates to 72 candidates (63.2%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	112	2	114
Fresh	2	4	6
Picked	1	0	1
Done	0	0	0
Total	115	6	121

Merged error: 0.0b

Counts

121 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.1b	(/ (sin y) y)
0.4b	(/ 1 (/ z (* x (/ (sin y) y))))
2.5b	(/ z (* x (/ (sin y) y)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

58×	`times-frac`
54×	`add-exp-log`
44×	`add-sqr-sqrt`
39×	`add-cube-cbrt` `*-un-lft-identity`
34×	`add-cbrt-cube`
26×	`div-exp`
14×	`cbrt-undiv`
13×	`associate-r`
12×	`associate-/r*`
10×	`prod-exp`
9×	`associate-/l*`
8×	`div-inv`
7×	`pow1`
6×	`associate-*r/` `associate-/r/` `cbrt-unprod`
4×	`rec-exp` `1-exp` `add-log-exp`
3×	`frac-2neg` `associate-l` `clear-num`
2×	`unswap-sqr`
1×	`pow-flip` `pow-prod-down` `*-commutative` `inv-pow`

Counts

4 → 147

Calls

4 calls:

7.0ms	(* x (/ (sin y) y))
4.0ms	(/ (sin y) y)
9.0ms	(/ 1 (/ z (* x (/ (sin y) y))))
7.0ms	(/ z (* x (/ (sin y) y)))

series301.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(* x (/ (sin y) y))
30.0ms	(/ (sin y) y)
79.0ms	(/ 1 (/ z (* x (/ (sin y) y))))
122.0ms	(/ z (* x (/ (sin y) y)))

simplify84.0ms

Algorithm

egg-herbie

Counts

159 → 159

Iterations

Useful iterations: 2 (71.0ms)

Iter	Nodes	Cost
0	508	1006
1	2791	859
2	5002	818

prune287.0ms

Filtered

159 candidates to 94 candidates (59.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	158	1	159
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	158	7	165

Merged error: 0b

Counts

165 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.1b	(/ 1 (* x (/ (sin y) y)))
0.1b	(/ (sin y) y)
2.6b	(/ (/ 1 z) (/ 1 (* x (/ (sin y) y))))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

249×	`times-frac`
170×	`add-exp-log`
118×	`add-sqr-sqrt`
113×	`add-cube-cbrt` `*-un-lft-identity`
107×	`div-exp`
52×	`add-cbrt-cube`
32×	`prod-exp`
27×	`div-inv`
26×	`cbrt-undiv`
25×	`rec-exp` `1-exp`
19×	`associate-/l*`
16×	`associate-*r/` `associate-/r/`
13×	`associate-r`
12×	`associate-/r*`
9×	`pow1`
8×	`cbrt-unprod`
4×	`add-log-exp`
3×	`frac-2neg` `associate-l` `clear-num`
2×	`pow-flip` `pow-prod-down` `unswap-sqr`
1×	`*-commutative` `associate-/l/` `inv-pow`

Counts

4 → 277

Calls

4 calls:

7.0ms	(* x (/ (sin y) y))
6.0ms	(/ 1 (* x (/ (sin y) y)))
4.0ms	(/ (sin y) y)
15.0ms	(/ (/ 1 z) (/ 1 (* x (/ (sin y) y))))

series259.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(* x (/ (sin y) y))
69.0ms	(/ 1 (* x (/ (sin y) y)))
31.0ms	(/ (sin y) y)
90.0ms	(/ (/ 1 z) (/ 1 (* x (/ (sin y) y))))

simplify67.0ms

Algorithm

egg-herbie

Counts

289 → 289

Iterations

Useful iterations: 1 (38.0ms)

Iter	Nodes	Cost
0	1162	2523
1	5001	2136

prune422.0ms

Filtered

289 candidates to 140 candidates (48.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	288	1	289
Fresh	1	4	5
Picked	1	0	1
Done	0	1	1
Total	290	6	296

Merged error: 0b

Counts

296 → 6

regimes179.0ms

Accuracy

74.2% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 3.2b

bsearch96.0ms

Steps

Iters	Range		Point
8	1.3565839810964883e+110	8.889251151204126e+113	1.1592325891301554e+113
6	-6.690863993779919e+135	-4.8852611179239235e+134	-1.309325788103135e+135

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	14
1	25	14

end0.0ms

sample1.1s

Algorithm

intervals

Results

301.0ms	994×	body	1280	valid
264.0ms	5821×	body	80	valid
221.0ms	1040×	body	640	valid
93.0ms	572×	body	320	valid
28.0ms	285×	body	160	valid