Details

sample93.0ms

Algorithm

intervals

Results

37.0ms	111×	body	1280	valid
18.0ms	89×	body	640	valid
15.0ms	285×	body	80	valid
6.0ms	42×	body	320	valid
2.0ms	17×	body	160	valid

simplify57.0ms

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

localize7.0ms

Local error

Found 2 expressions with local error:

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

series106.0ms

Counts

2 → 6

Calls

2 calls:

76.0ms	(* (cosh x) (/ (sin y) y))
30.0ms	(/ (sin y) y)

simplify39.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 2 (34.0ms)

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

prune151.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

156×	`times-frac`
103×	`add-sqr-sqrt`
91×	`*-un-lft-identity`
89×	`add-cube-cbrt`
44×	`associate-r`
35×	`add-exp-log`
19×	`add-cbrt-cube`
16×	`associate-/r*`
15×	`div-exp`
10×	`div-inv`
7×	`cbrt-undiv` `prod-exp`
6×	`pow1` `associate-/l*`
5×	`unswap-sqr`
4×	`rec-exp` `1-exp`
3×	`associate-l` `cbrt-unprod` `add-log-exp`
2×	`cosh-def` `frac-2neg` `clear-num` `associate-/r/`
1×	`frac-times` `pow-flip` `associate-r/` `pow-prod-down` `associate-l/` `un-div-inv` `*-commutative` `inv-pow`

Counts

3 → 178

Calls

3 calls:

22.0ms	(* (cosh x) (/ 1 (/ y (sin y))))
2.0ms	(/ y (sin y))
6.0ms	(/ 1 (/ y (sin y)))

series130.0ms

Counts

3 → 9

Calls

3 calls:

76.0ms	(* (cosh x) (/ 1 (/ y (sin y))))
26.0ms	(/ y (sin y))
28.0ms	(/ 1 (/ y (sin y)))

simplify76.0ms

Algorithm

egg-herbie

Counts

187 → 187

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	616	1321
1	2986	1149
2	5001	1026

prune361.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

288×	`times-frac`
185×	`add-sqr-sqrt`
166×	`add-cube-cbrt` `*-un-lft-identity`
99×	`cbrt-prod`
89×	`associate-r`
34×	`add-exp-log`
20×	`add-cbrt-cube`
16×	`pow1` `associate-/r*` `div-inv`
13×	`cbrt-div` `cosh-def`
10×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
9×	`associate-/l*` `unswap-sqr`
7×	`associate-l`
6×	`frac-times` `pow1/3` `swap-sqr` `associate-*l/`
5×	`pow-prod-down`
4×	`associate-*r/` `add-log-exp`
2×	`frac-2neg` `clear-num` `associate-/r/` `pow-sqr` `*-commutative` `pow-prod-up`
1×	`pow2` `pow-plus` `associate-/l/`

Counts

4 → 301

Calls

4 calls:

41.0ms	(* (* (cbrt (cosh x)) (cbrt (cosh x))) (/ (cbrt (cosh x)) (/ y (sin y))))
6.0ms	(* (cbrt (cosh x)) (cbrt (cosh x)))
2.0ms	(/ y (sin y))
7.0ms	(/ (cbrt (cosh x)) (/ y (sin y)))

series448.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(* (* (cbrt (cosh x)) (cbrt (cosh x))) (/ (cbrt (cosh x)) (/ y (sin y))))
230.0ms	(* (cbrt (cosh x)) (cbrt (cosh x)))
22.0ms	(/ y (sin y))
121.0ms	(/ (cbrt (cosh x)) (/ y (sin y)))

simplify54.0ms

Algorithm

egg-herbie

Counts

313 → 313

Iterations

Useful iterations: 1 (29.0ms)

Iter	Nodes	Cost
0	1180	3538
1	5001	3332

prune903.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

1.0b	(cbrt (+ (exp x) (exp (- x))))
1.0b	(cbrt (+ (exp x) (exp (- x))))
1.0b	(cbrt 2)
1.0b	(cbrt 2)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

14×	`cbrt-prod`
12×	`*-un-lft-identity`
8×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`pow1` `add-exp-log` `cbrt-div` `pow1/3` `add-cbrt-cube` `add-log-exp`
2×	`flip3-+` `flip-+` `distribute-lft-out`

Counts

4 → 50

Calls

4 calls:

5.0ms	(cbrt (+ (exp x) (exp (- x))))
5.0ms	(cbrt (+ (exp x) (exp (- x))))
0.0ms	(cbrt 2)
1.0ms	(cbrt 2)

series262.0ms

Counts

4 → 8

Calls

4 calls:

134.0ms	(cbrt (+ (exp x) (exp (- x))))
127.0ms	(cbrt (+ (exp x) (exp (- x))))
0.0ms	(cbrt 2)
0.0ms	(cbrt 2)

simplify73.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 2 (16.0ms)

Iter	Nodes	Cost
0	147	424
1	453	392
2	1862	372
3	5001	372

prune264.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes108.0ms

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	21	21
1	21	21

end0.0ms

sample2.6s

Algorithm

intervals

Results

997.0ms	2978×	body	1280	valid
536.0ms	2536×	body	640	valid
451.0ms	8628×	body	80	valid
186.0ms	1209×	body	320	valid
71.0ms	618×	body	160	valid