Details

sample95.0ms

Algorithm

intervals

Results

33.0ms	94×	body	1280	valid
21.0ms	300×	body	80	valid
17.0ms	75×	body	640	valid
9.0ms	33×	body	320	valid
2.0ms	14×	body	160	valid

simplify58.0ms

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: 0.2b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

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)

series110.0ms

Counts

2 → 6

Calls

2 calls:

82.0ms	(* (cosh x) (/ (sin y) y))
27.0ms	(/ (sin y) y)

simplify41.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 2 (36.0ms)

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

prune164.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`add-cube-cbrt` `*-un-lft-identity`
15×	`add-exp-log` `add-cbrt-cube`
11×	`pow1`
10×	`cosh-def` `sqrt-div`
9×	`times-frac` `sqrt-prod`
6×	`associate-l`
5×	`frac-times` `associate-*r/` `prod-exp` `cbrt-unprod`
4×	`add-log-exp`
3×	`pow-prod-down` `associate-l/` `associate-/r` `associate-/l*`
2×	`cbrt-undiv` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `div-exp`
1×	`frac-2neg` `associate-r` `clear-num` `*-commutative` `div-inv`

Counts

4 → 85

Calls

4 calls:

1.0ms	(sqrt (cosh x))
1.0ms	(sqrt (cosh x))
17.0ms	(* (sqrt (cosh x)) (* (sqrt (cosh x)) (/ (sin y) y)))
3.0ms	(/ (sin y) y)

series248.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(sqrt (cosh x))
65.0ms	(sqrt (cosh x))
81.0ms	(* (sqrt (cosh x)) (* (sqrt (cosh x)) (/ (sin y) y)))
31.0ms	(/ (sin y) y)

simplify40.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	327	592
1	1177	496
2	5001	482

prune270.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
58×	`add-sqr-sqrt`
57×	`add-cube-cbrt` `*-un-lft-identity`
45×	`add-exp-log`
25×	`add-cbrt-cube`
16×	`associate-/r*`
15×	`div-exp` `prod-exp`
11×	`pow1`
10×	`cosh-def` `sqrt-div`
7×	`cbrt-undiv` `cbrt-unprod`
6×	`frac-times` `associate-r/` `associate-l` `sqrt-prod` `div-inv` `associate-/l`
4×	`rec-exp` `1-exp` `add-log-exp`
3×	`pow-prod-down` `associate-*l/`
2×	`frac-2neg` `clear-num` `un-div-inv`
1×	`rem-sqrt-square` `pow-flip` `sqrt-pow1` `pow1/2` `associate-r` `associate-/r/` `*-commutative` `inv-pow`

Counts

4 → 155

Calls

4 calls:

1.0ms	(sqrt (cosh x))
30.0ms	(* (sqrt (cosh x)) (* (sqrt (cosh x)) (/ 1 (/ y (sin y)))))
2.0ms	(/ y (sin y))
5.0ms	(/ 1 (/ y (sin y)))

series202.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(sqrt (cosh x))
81.0ms	(* (sqrt (cosh x)) (* (sqrt (cosh x)) (/ 1 (/ y (sin y)))))
23.0ms	(/ y (sin y))
27.0ms	(/ 1 (/ y (sin y)))

simplify69.0ms

Algorithm

egg-herbie

Counts

167 → 167

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	602	1204
1	2694	993
2	5001	925

prune340.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (sqrt (cosh x)) (* (sqrt (+ (exp x) (exp (- x)))) (/ (sin y) y)))
0.2b	(/ (sin y) y)
0.2b	(/ (* (sqrt (cosh x)) (* (sqrt (+ (exp x) (exp (- x)))) (/ (sin y) y))) (sqrt 2))
0.3b	(* (sqrt (+ (exp x) (exp (- x)))) (/ (sin y) y))

rewrite100.0ms

Algorithm

rewrite-expression-head

Rules

37×	`add-sqr-sqrt`
34×	`add-exp-log` `add-cbrt-cube`
32×	`sqrt-div`
29×	`*-un-lft-identity`
27×	`add-cube-cbrt`
26×	`times-frac`
20×	`frac-times`
15×	`associate-*r/` `sqrt-prod`
14×	`associate-r`
13×	`associate-l`
12×	`cosh-def` `associate-*l/` `prod-exp` `cbrt-unprod`
11×	`pow1` `associate-/l/`
10×	`flip3-+` `flip-+`
9×	`associate-/r*`
8×	`cbrt-undiv` `div-exp`
4×	`pow-prod-down` `associate-/l*` `add-log-exp` `unswap-sqr`
3×	`div-inv`
2×	`frac-2neg` `clear-num` `*-commutative`
1×	`distribute-lft-out`

Counts

4 → 145

Calls

4 calls:

30.0ms	(* (sqrt (cosh x)) (* (sqrt (+ (exp x) (exp (- x)))) (/ (sin y) y)))
3.0ms	(/ (sin y) y)
31.0ms	(/ (* (sqrt (cosh x)) (* (sqrt (+ (exp x) (exp (- x)))) (/ (sin y) y))) (sqrt 2))
31.0ms	(* (sqrt (+ (exp x) (exp (- x)))) (/ (sin y) y))

series497.0ms

Counts

4 → 12

Calls

4 calls:

160.0ms	(* (sqrt (cosh x)) (* (sqrt (+ (exp x) (exp (- x)))) (/ (sin y) y)))
26.0ms	(/ (sin y) y)
208.0ms	(/ (* (sqrt (cosh x)) (* (sqrt (+ (exp x) (exp (- x)))) (/ (sin y) y))) (sqrt 2))
102.0ms	(* (sqrt (+ (exp x) (exp (- x)))) (/ (sin y) y))

simplify81.0ms

Algorithm

egg-herbie

Counts

157 → 157

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	618	1864
1	2944	1681
2	5002	1677

prune539.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes163.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	9
1	14	9

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.0s	2962×	body	1280	valid
578.0ms	8653×	body	80	valid
535.0ms	2417×	body	640	valid
194.0ms	1179×	body	320	valid
72.0ms	619×	body	160	valid