Details

sample95.0ms

Algorithm

intervals

Results

34.0ms	48×	body	1280	valid
18.0ms	335×	body	80	valid
15.0ms	66×	body	640	valid
5.0ms	32×	body	320	valid
2.0ms	22×	body	160	valid

simplify11.4s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	15	7
2	32	7
3	69	7
4	146	7
5	287	7
6	519	7
7	1124	7
8	2229	7
9	3908	7
done	5000	7

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.2b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (sin x) (sinh y))
16.1b	(/ (* (sin x) (sinh y)) x)

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 55

Calls

3 calls:

1.0ms	(sinh y)
20.0ms	(* (sin x) (sinh y))
29.0ms	(/ (* (sin x) (sinh y)) x)

series395.0ms

Counts

3 → 9

Calls

3 calls:

67.0ms	(sinh y)
164.0ms	(* (sin x) (sinh y))
163.0ms	(/ (* (sin x) (sinh y)) x)

simplify2.0s

Counts

64 → 64

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	123	572
1	282	546
2	1023	475
done	5000	455

prune278.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`associate-r`
10×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
7×	`add-exp-log` `add-cbrt-cube`
4×	`pow1`
3×	`associate-l`
2×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
1×	`cbrt-undiv` `sinh-def` `associate-r/` `div-exp` `pow-prod-down` `-commutative` `div-inv`

Counts

2 → 44

Calls

2 calls:

3.0ms	(sinh y)
36.0ms	(* (sin x) (/ (sinh y) x))

series260.0ms

Counts

2 → 6

Calls

2 calls:

107.0ms	(sinh y)
153.0ms	(* (sin x) (/ (sinh y) x))

simplify2.8s

Counts

50 → 50

Iterations

Useful iterations: done (2.8s)

Iter	Nodes	Cost
0	112	484
1	271	457
2	906	404
3	3159	403
done	5000	402

prune166.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ x (sinh y))
0.0b	(sinh y)
1.0b	(/ (sin x) (/ x (sinh y)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

87×	`times-frac`
54×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
17×	`associate-/r*`
10×	`add-exp-log` `add-cbrt-cube`
6×	`sinh-def` `associate-/r/` `div-inv` `associate-/l*`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `clear-num`

Counts

3 → 116

Calls

3 calls:

10.0ms	(/ x (sinh y))
1.0ms	(sinh y)
18.0ms	(/ (sin x) (/ x (sinh y)))

series470.0ms

Counts

3 → 9

Calls

3 calls:

190.0ms	(/ x (sinh y))
110.0ms	(sinh y)
169.0ms	(/ (sin x) (/ x (sinh y)))

simplify3.7s

Counts

125 → 125

Iterations

Useful iterations: done (3.7s)

Iter	Nodes	Cost
0	221	1576
1	467	1485
2	1477	1406
3	4916	1388
done	5000	1387

prune493.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x) (cbrt x))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

24.0ms	(* (cbrt x) (cbrt x))
2.0ms	(cbrt x)
2.0ms	(cbrt x)
2.0ms	(cbrt x)

series1.2s

Counts

4 → 12

Calls

4 calls:

328.0ms	(* (cbrt x) (cbrt x))
322.0ms	(cbrt x)
293.0ms	(cbrt x)
264.0ms	(cbrt x)

simplify5.5s

Counts

93 → 93

Iterations

Useful iterations: done (5.5s)

Iter	Nodes	Cost
0	65	554
1	119	443
2	327	423
3	1104	405
4	4523	400
done	5001	390

prune369.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes81.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	7	7
done	7	7

end0.0ms

sample4.8s

Algorithm

intervals

Results

1.5s	1893×	body	1280	valid
1.1s	1938×	body	640	valid
958.0ms	10295×	body	80	valid
406.0ms	1145×	body	320	valid
232.0ms	611×	body	160	valid