Details

sample74.0ms

Algorithm

intervals

Results

30.0ms	92×	body	1280	valid
12.0ms	69×	body	640	valid
11.0ms	256×	body	80	valid
6.0ms	44×	body	320	valid
2.0ms	18×	body	160	valid

simplify60.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	15	4
1	28	4
2	56	4
3	98	4
4	143	4
5	310	4
6	877	4
7	1824	4
8	5001	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: 0.1b

Counts

2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (cosh x) (/ (sin y) y))
0.0b	(cosh x)
0.1b	(/ (sin y) y)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`*-un-lft-identity`
23×	`add-cube-cbrt`
19×	`times-frac`
13×	`associate-r`
11×	`cosh-def`
10×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
9×	`frac-times` `associate-r/` `associate-/r`
5×	`pow1`
4×	`clear-num`
3×	`frac-2neg` `associate-l` `add-log-exp`
2×	`cbrt-undiv` `div-exp` `prod-exp` `un-div-inv` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`pow-prod-down` `associate-l/` `-commutative`

Counts

3 → 87

Calls

3 calls:

9.0ms	(* (cosh x) (/ (sin y) y))
1.0ms	(cosh x)
4.0ms	(/ (sin y) y)

series160.0ms

Counts

3 → 9

Calls

3 calls:

81.0ms	(* (cosh x) (/ (sin y) y))
52.0ms	(cosh x)
27.0ms	(/ (sin y) y)

simplify52.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	343	541
1	1433	495
2	5001	457

prune176.0ms

Filtered

96 candidates to 71 candidates (74.0%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	87	9	96
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	88	9	97

Merged error: 0.0b

Counts

97 → 9

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(cosh x)
0.0b	(* (/ (- (sin y)) 1/2) (cosh x))
0.1b	(/ (* (/ (- (sin y)) 1/2) (cosh x)) (* 2 (- y)))

rewrite152.0ms

Algorithm

rewrite-expression-head

Rules

1487×	`times-frac`
900×	`add-sqr-sqrt`
849×	`associate-l`
705×	`add-cube-cbrt` `*-un-lft-identity`
513×	`associate-r`
336×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
112×	`neg-mul-1`
87×	`unswap-sqr`
84×	`associate-/l*`
66×	`*-commutative`
35×	`cosh-def`
33×	`associate-/l/`
32×	`frac-times` `associate-*l/`
31×	`associate-/r*`
29×	`add-exp-log` `add-cbrt-cube`
22×	`div-inv`
9×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
5×	`pow1` `frac-2neg` `clear-num`
3×	`distribute-frac-neg` `add-log-exp`
2×	`distribute-lft-neg-out` `associate-*r/`
1×	`pow-prod-down`

Counts

3 → 1049

Calls

3 calls:

1.0ms	(cosh x)
17.0ms	(* (/ (- (sin y)) 1/2) (cosh x))
44.0ms	(/ (* (/ (- (sin y)) 1/2) (cosh x)) (* 2 (- y)))

series227.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(cosh x)
82.0ms	(* (/ (- (sin y)) 1/2) (cosh x))
93.0ms	(/ (* (/ (- (sin y)) 1/2) (cosh x)) (* 2 (- y)))

simplify228.0ms

Algorithm

egg-herbie

Counts

1058 → 1058

Iterations

Useful iterations: 1 (91.0ms)

Iter	Nodes	Cost
0	4678	15107
1	5002	15017

prune2.7s

Filtered

1058 candidates to 792 candidates (74.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	1052	6	1058
Fresh	7	1	8
Picked	0	1	1
Done	0	0	0
Total	1059	8	1067

Merged error: 0b

Counts

1067 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))
0.3b	(cbrt (/ (sin y) y))
0.3b	(cbrt (/ (sin y) y))
0.3b	(cbrt (/ (sin y) y))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

207×	`cbrt-div`
127×	`add-sqr-sqrt`
103×	`cbrt-prod` `add-cube-cbrt` `*-un-lft-identity`
81×	`frac-times`
69×	`times-frac` `associate-/r` `associate-/l`
23×	`frac-2neg` `clear-num`
16×	`swap-sqr` `associate-r` `associate-l`
11×	`pow1`
9×	`pow1/3` `associate-r/` `associate-l/` `unswap-sqr`
8×	`add-cbrt-cube`
7×	`div-inv`
6×	`add-exp-log`
4×	`cbrt-unprod` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative`

Counts

4 → 267

Calls

4 calls:

23.0ms	(* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))
4.0ms	(cbrt (/ (sin y) y))
4.0ms	(cbrt (/ (sin y) y))
4.0ms	(cbrt (/ (sin y) y))

series594.0ms

Counts

4 → 12

Calls

4 calls:

175.0ms	(* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))
140.0ms	(cbrt (/ (sin y) y))
134.0ms	(cbrt (/ (sin y) y))
145.0ms	(cbrt (/ (sin y) y))

simplify74.0ms

Algorithm

egg-herbie

Counts

279 → 279

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	447	2765
1	1248	2685
2	5001	2518

prune581.0ms

Filtered

279 candidates to 177 candidates (63.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	278	1	279
Fresh	2	4	6
Picked	0	1	1
Done	0	1	1
Total	280	7	287

Merged error: 0b

Counts

287 → 7

localize28.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (/ (sin y) y))
0.3b	(cbrt (/ (sin y) y))
0.6b	(cbrt (- (sin y)))
0.6b	(cbrt (- y))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

46×	`cbrt-prod`
28×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`cbrt-div` `times-frac`
6×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `associate-/r` `associate-/l`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`
2×	`neg-mul-1` `frac-2neg` `clear-num` `div-inv`

Counts

4 → 96

Calls

4 calls:

4.0ms	(cbrt (/ (sin y) y))
4.0ms	(cbrt (/ (sin y) y))
2.0ms	(cbrt (- (sin y)))
2.0ms	(cbrt (- y))

series623.0ms

Counts

4 → 12

Calls

4 calls:

140.0ms	(cbrt (/ (sin y) y))
140.0ms	(cbrt (/ (sin y) y))
143.0ms	(cbrt (- (sin y)))
199.0ms	(cbrt (- y))

simplify95.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 3 (86.0ms)

Iter	Nodes	Cost
0	247	674
1	627	648
2	2586	631
3	5002	609

prune308.0ms

Filtered

108 candidates to 84 candidates (77.8%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	108	7	115

Merged error: 0b

Counts

115 → 7

regimes129.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	8
1	26	8
2	34	8
3	34	8

end0.0ms

sample2.3s

Algorithm

intervals

Results

913.0ms	2972×	body	1280	valid
459.0ms	2428×	body	640	valid
370.0ms	8529×	body	80	valid
172.0ms	1281×	body	320	valid
64.0ms	612×	body	160	valid