Details

sample152.0ms

Algorithm

intervals

Results

53.0ms	103×	body	1280	valid
40.0ms	72×	body	640	valid
21.0ms	292×	body	80	valid
11.0ms	47×	body	320	valid
3.0ms	16×	body	160	valid

simplify1.4s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	15	7
2	28	7
3	56	7
4	100	7
5	187	7
6	761	7
done	5000	7

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite56.0ms

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` `expm1-log1p-u` `cosh-def` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
1×	`frac-times` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `*-commutative`

Counts

2 → 65

Calls

2 calls:

33.0ms	(* (cosh x) (/ (sin y) y))
18.0ms	(/ (sin y) y)

series164.0ms

Counts

2 → 6

Calls

2 calls:

114.0ms	(* (cosh x) (/ (sin y) y))
50.0ms	(/ (sin y) y)

simplify983.0ms

Counts

71 → 71

Iterations

Useful iterations: done (980.0ms)

Iter	Nodes	Cost
0	124	689
1	282	656
2	1254	592
done	5000	590

prune247.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-exp-log` `add-cbrt-cube`
8×	`add-sqr-sqrt`
6×	`add-cube-cbrt` `*-un-lft-identity`
4×	`pow1`
3×	`times-frac` `associate-r` `associate-l` `associate-/r*`
2×	`cbrt-undiv` `expm1-log1p-u` `cosh-def` `div-exp` `associate-*l/` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
1×	`frac-2neg` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l/` `associate-/l` `unswap-sqr`

Counts

2 → 45

Calls

2 calls:

32.0ms	(* (cosh x) (sin y))
28.0ms	(/ (* (cosh x) (sin y)) y)

series186.0ms

Counts

2 → 6

Calls

2 calls:

82.0ms	(* (cosh x) (sin y))
104.0ms	(/ (* (cosh x) (sin y)) y)

simplify759.0ms

Counts

51 → 51

Iterations

Useful iterations: done (758.0ms)

Iter	Nodes	Cost
0	108	492
1	247	467
2	1195	410
done	5000	408

prune229.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 2 expressions with local error:

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

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
52×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
16×	`associate-/r*`
9×	`add-exp-log` `add-cbrt-cube`
6×	`div-inv` `associate-/l*`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `add-log-exp`
1×	`cosh-def` `associate-/r/` `associate-/l/`

Counts

2 → 102

Calls

2 calls:

7.0ms	(/ y (sin y))
19.0ms	(/ (cosh x) (/ y (sin y)))

series119.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(/ y (sin y))
90.0ms	(/ (cosh x) (/ y (sin y)))

simplify1.2s

Counts

108 → 108

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	193	1422
1	476	1354
2	2427	1270
done	5000	1269

prune456.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (cosh x) y)
0.1b	(/ 1 (sin y))
0.2b	(/ (/ (cosh x) y) (/ 1 (sin y)))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

439×	`times-frac`
215×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
31×	`add-exp-log` `div-inv`
19×	`div-exp` `associate-/r` `add-cbrt-cube` `associate-/l`
10×	`cbrt-undiv`
4×	`pow1`
3×	`expm1-log1p-u` `rec-exp` `frac-2neg` `1-exp` `clear-num` `log1p-expm1-u` `add-log-exp`
2×	`associate-/l/`
1×	`cosh-def` `pow-flip` `associate-/r/` `inv-pow`

Counts

3 → 284

Calls

3 calls:

8.0ms	(/ (cosh x) y)
14.0ms	(/ 1 (sin y))
31.0ms	(/ (/ (cosh x) y) (/ 1 (sin y)))

series241.0ms

Counts

3 → 9

Calls

3 calls:

87.0ms	(/ (cosh x) y)
28.0ms	(/ 1 (sin y))
126.0ms	(/ (/ (cosh x) y) (/ 1 (sin y)))

simplify823.0ms

Counts

293 → 293

Iterations

Useful iterations: done (812.0ms)

Iter	Nodes	Cost
0	474	5486
1	1477	4728
done	5000	4170

prune797.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes122.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	9	11
1	11	9
done	11	9

end0.0ms

sample5.5s

Algorithm

intervals

Results

1.6s	3006×	body	1280	valid
1.4s	8566×	body	80	valid
1.0s	2479×	body	640	valid
672.0ms	1265×	body	320	valid
154.0ms	654×	body	160	valid