Details

sample85.0ms

Algorithm

intervals

Results

31.0ms	99×	body	1280	valid
16.0ms	79×	body	640	valid
15.0ms	289×	body	80	valid
6.0ms	40×	body	320	valid
3.0ms	25×	body	160	valid

simplify55.0ms

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 61

Calls

2 calls:

8.0ms	(* (cosh x) (/ (sin y) y))
3.0ms	(/ (sin y) y)

series101.0ms

Counts

2 → 6

Calls

2 calls:

75.0ms	(* (cosh x) (/ (sin y) y))
26.0ms	(/ (sin y) y)

simplify42.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	263	392
1	1063	349
2	5001	337

prune157.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (cosh x) (* (sin y) (/ 1 y)))
0.2b	(* (sin y) (/ 1 y))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-exp-log`
18×	`add-sqr-sqrt`
16×	`add-cbrt-cube`
14×	`associate-r`
13×	`prod-exp`
12×	`*-un-lft-identity`
11×	`add-cube-cbrt` `times-frac`
9×	`pow1`
7×	`cbrt-unprod`
6×	`associate-l`
5×	`associate-*r/`
4×	`div-exp` `pow-prod-down`
3×	`cosh-def` `un-div-inv` `unswap-sqr`
2×	`cbrt-undiv` `frac-times` `rec-exp` `1-exp` `*-commutative` `add-log-exp`
1×	`associate-*l/` `div-inv`

Counts

2 → 63

Calls

2 calls:

13.0ms	(* (cosh x) (* (sin y) (/ 1 y)))
9.0ms	(* (sin y) (/ 1 y))

series97.0ms

Counts

2 → 6

Calls

2 calls:

70.0ms	(* (cosh x) (* (sin y) (/ 1 y)))
27.0ms	(* (sin y) (/ 1 y))

simplify44.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	333	408
1	1434	326
2	5002	297

prune141.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (* (cosh x) (* (sin y) (/ 1 y)))) (cbrt (* (cosh x) (* (sin y) (/ 1 y)))))
0.3b	(cbrt (* (cosh x) (* (sin y) (/ 1 y))))
0.3b	(cbrt (* (cosh x) (* (sin y) (/ 1 y))))
0.3b	(cbrt (* (cosh x) (* (sin y) (/ 1 y))))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

75×	`cbrt-div`
65×	`associate-*r/`
55×	`frac-times`
45×	`cosh-def`
30×	`un-div-inv`
20×	`associate-*l/`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 108

Calls

4 calls:

19.0ms	(* (cbrt (* (cosh x) (* (sin y) (/ 1 y)))) (cbrt (* (cosh x) (* (sin y) (/ 1 y)))))
13.0ms	(cbrt (* (cosh x) (* (sin y) (/ 1 y))))
11.0ms	(cbrt (* (cosh x) (* (sin y) (/ 1 y))))
11.0ms	(cbrt (* (cosh x) (* (sin y) (/ 1 y))))

series637.0ms

Counts

4 → 12

Calls

4 calls:

181.0ms	(* (cbrt (* (cosh x) (* (sin y) (/ 1 y)))) (cbrt (* (cosh x) (* (sin y) (/ 1 y)))))
154.0ms	(cbrt (* (cosh x) (* (sin y) (/ 1 y))))
148.0ms	(cbrt (* (cosh x) (* (sin y) (/ 1 y))))
154.0ms	(cbrt (* (cosh x) (* (sin y) (/ 1 y))))

simplify46.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	330	1428
1	1035	1331
2	5001	1236

prune339.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (* (cosh x) (* (sin y) (/ 1 y))))
0.3b	(cbrt (* (cosh x) (* (sin y) (/ 1 y))))
0.6b	(cbrt y)
0.7b	(cbrt (* (cosh x) (sin y)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

11×	`cbrt-div`
8×	`associate-*r/`
7×	`cosh-def`
6×	`cbrt-prod`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `frac-times` `pow1/3` `un-div-inv` `add-cbrt-cube` `add-log-exp`
3×	`associate-*l/`

Counts

4 → 49

Calls

4 calls:

13.0ms	(cbrt (* (cosh x) (* (sin y) (/ 1 y))))
11.0ms	(cbrt (* (cosh x) (* (sin y) (/ 1 y))))
0.0ms	(cbrt y)
2.0ms	(cbrt (* (cosh x) (sin y)))

series610.0ms

Counts

4 → 12

Calls

4 calls:

160.0ms	(cbrt (* (cosh x) (* (sin y) (/ 1 y))))
167.0ms	(cbrt (* (cosh x) (* (sin y) (/ 1 y))))
177.0ms	(cbrt y)
105.0ms	(cbrt (* (cosh x) (sin y)))

simplify57.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 3 (52.0ms)

Iter	Nodes	Cost
0	234	435
1	611	397
2	2306	359
3	5001	348

prune218.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes150.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	4
1	7	4

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.0s	2986×	body	1280	valid
532.0ms	2522×	body	640	valid
452.0ms	8561×	body	80	valid
188.0ms	1200×	body	320	valid
65.0ms	582×	body	160	valid