Details

sample90.0ms

Algorithm

intervals

Results

39.0ms	110×	body	1280	valid
16.0ms	293×	body	80	valid
15.0ms	63×	body	640	valid
6.0ms	35×	body	320	valid
2.0ms	18×	body	160	valid

simplify2.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
7	1888
6	631
5	245
4	128
3	65
2	30
1	15
0	6

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 3 expressions with local error:

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

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
19×	`*-un-lft-identity` `times-frac` `add-cube-cbrt`
13×	`associate-r`
10×	`add-cbrt-cube` `add-exp-log`
5×	`pow1`
3×	`expm1-log1p-u` `associate-/r` `associate-l` `insert-posit16` `log1p-expm1-u` `associate-/l` `add-log-exp`
2×	`cbrt-undiv` `sinh-def` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`clear-num` `frac-2neg` `pow-prod-down` `associate-r/` `-commutative` `associate-/l/`

Counts

3 → 77

Calls

3 calls:

2.0ms	(sinh y)
11.0ms	(/ (sinh y) y)
27.0ms	(* (sin x) (/ (sinh y) y))

series399.0ms

Counts

3 → 9

Calls

3 calls:

108.0ms	(sinh y)
142.0ms	(/ (sinh y) y)
149.0ms	(* (sin x) (/ (sinh y) y))

simplify2.6s

Counts

86 → 86

Iterations

Iter	Nodes
done	5009
3	4084
2	1105
1	363
0	149

prune310.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

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

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

32×	`associate-r`
28×	`add-sqr-sqrt` `sqrt-prod`
21×	`*-un-lft-identity` `add-cube-cbrt`
19×	`times-frac`
11×	`pow1` `add-cbrt-cube` `add-exp-log`
5×	`sqrt-div`
4×	`expm1-log1p-u` `associate-l` `pow-prod-down` `prod-exp` `associate-*r/` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`unswap-sqr`
2×	`sinh-def` `*-commutative` `div-inv`
1×	`frac-times` `associate-*l/`

Counts

4 → 96

Calls

4 calls:

2.0ms	(sinh y)
2.0ms	(sinh y)
24.0ms	(* (sin x) (sqrt (/ (sinh y) y)))
47.0ms	(* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))

series548.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(sinh y)
75.0ms	(sinh y)
241.0ms	(* (sin x) (sqrt (/ (sinh y) y)))
139.0ms	(* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))

simplify3.6s

Counts

108 → 108

Iterations

Iter	Nodes
done	5000
2	3861
1	935
0	317

prune590.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (sinh y) y)
0.0b	(* (sin x) (exp (log (/ (sinh y) y))))
0.0b	(exp (log (/ (sinh y) y)))
2.6b	(log (/ (sinh y) y))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt`
41×	`log-prod`
37×	`times-frac`
36×	`*-un-lft-identity` `add-cube-cbrt`
28×	`exp-sum`
16×	`associate-r`
10×	`add-exp-log`
8×	`pow1` `add-cbrt-cube`
4×	`expm1-log1p-u` `exp-prod` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`log-div` `associate-/r` `associate-l` `associate-/l` `unswap-sqr`
2×	`exp-diff` `div-exp` `rem-log-exp` `log-pow`
1×	`cbrt-undiv` `sinh-def` `clear-num` `frac-2neg` `pow-prod-down` `prod-exp` `associate-r/` `-commutative` `cbrt-unprod` `rem-exp-log` `associate-/l/`

Counts

4 → 124

Calls

4 calls:

11.0ms	(/ (sinh y) y)
25.0ms	(* (sin x) (exp (log (/ (sinh y) y))))
4.0ms	(exp (log (/ (sinh y) y)))
2.0ms	(log (/ (sinh y) y))

series771.0ms

Counts

4 → 12

Calls

4 calls:

139.0ms	(/ (sinh y) y)
165.0ms	(* (sin x) (exp (log (/ (sinh y) y))))
140.0ms	(exp (log (/ (sinh y) y)))
326.0ms	(log (/ (sinh y) y))

simplify2.4s

Counts

136 → 136

Iterations

Iter	Nodes
done	5021
3	3398
2	1095
1	445
0	217

prune726.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt (sinh y))
0.7b	(cbrt y)
0.7b	(cbrt y)
0.7b	(cbrt y)

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-div` `sinh-def`

Counts

4 → 57

Calls

4 calls:

1.0ms	(cbrt (sinh y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series993.0ms

Counts

4 → 12

Calls

4 calls:

238.0ms	(cbrt (sinh y))
242.0ms	(cbrt y)
235.0ms	(cbrt y)
277.0ms	(cbrt y)

simplify2.2s

Counts

69 → 69

Iterations

Iter	Nodes
done	5001
5	3303
4	1162
3	511
2	255
1	123
0	69

prune395.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes139.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	10
1	10
0	8

end0.0ms

sample5.8s

Algorithm

intervals

Results

2.1s	3059×	body	1280	valid
1.3s	8614×	body	80	valid
1.1s	2422×	body	640	valid
819.0ms	1258×	body	320	valid
116.0ms	655×	body	160	valid