Details

sample157.0ms

Algorithm

intervals

Results

52.0ms	46×	body	1280	valid
31.0ms	73×	body	640	valid
29.0ms	288×	body	80	valid
11.0ms	39×	body	320	valid
2.0ms	10×	body	160	valid

simplify2.9s

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	144	7
5	281	7
6	847	7
7	4286	7
done	5000	7

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.7b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (sin x) (sinh y))
11.6b	(/ (* (sin x) (sinh y)) x)

rewrite51.0ms

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×	`sinh-def` `times-frac` `associate-r` `associate-l` `associate-/r*` `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 → 49

Calls

3 calls:

3.0ms	(sinh y)
21.0ms	(* (sin x) (sinh y))
25.0ms	(/ (* (sin x) (sinh y)) x)

series320.0ms

Counts

3 → 9

Calls

3 calls:

67.0ms	(sinh y)
96.0ms	(* (sin x) (sinh y))
156.0ms	(/ (* (sin x) (sinh y)) x)

simplify857.0ms

Counts

58 → 58

Iterations

Useful iterations: 2 (221.0ms)

Iter	Nodes	Cost
0	117	538
1	293	516
2	1599	448
done	5002	448

prune285.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize19.0ms

Local error

Found 3 expressions with local error:

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

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 68

Calls

3 calls:

16.0ms	(/ (sinh y) x)
3.0ms	(sinh y)
35.0ms	(* (sin x) (/ (sinh y) x))

series316.0ms

Counts

3 → 9

Calls

3 calls:

124.0ms	(/ (sinh y) x)
78.0ms	(sinh y)
114.0ms	(* (sin x) (/ (sinh y) x))

simplify955.0ms

Counts

77 → 77

Iterations

Useful iterations: done (952.0ms)

Iter	Nodes	Cost
0	140	738
1	343	703
2	1612	640
done	5001	633

prune332.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (sin x) (* (sinh y) (/ 1 x)))
0.2b	(* (sinh y) (/ 1 x))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-exp-log`
19×	`add-sqr-sqrt`
17×	`add-cbrt-cube`
14×	`associate-r`
13×	`*-un-lft-identity` `prod-exp`
12×	`add-cube-cbrt`
11×	`times-frac`
10×	`pow1`
7×	`cbrt-unprod`
6×	`associate-r/` `associate-l*`
5×	`sinh-def`
4×	`div-exp` `pow-prod-down`
3×	`add-log-exp` `unswap-sqr`
2×	`cbrt-undiv` `frac-times` `rec-exp` `1-exp` `associate-l/` `un-div-inv` `-commutative`
1×	`div-inv`

Counts

3 → 72

Calls

3 calls:

2.0ms	(sinh y)
37.0ms	(* (sin x) (* (sinh y) (/ 1 x)))
33.0ms	(* (sinh y) (/ 1 x))

series360.0ms

Counts

3 → 9

Calls

3 calls:

98.0ms	(sinh y)
149.0ms	(* (sin x) (* (sinh y) (/ 1 x)))
113.0ms	(* (sinh y) (/ 1 x))

simplify1.3s

Counts

81 → 81

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	159	854
1	412	689
2	1861	571
done	5001	569

prune305.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (sin x) (sinh y))
11.7b	(* (* (sin x) (sinh y)) (/ 1 x))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-exp-log`
17×	`add-cbrt-cube`
16×	`associate-r`
14×	`add-sqr-sqrt`
13×	`prod-exp`
12×	`add-cube-cbrt` `*-un-lft-identity`
10×	`pow1`
9×	`times-frac`
7×	`cbrt-unprod`
4×	`sinh-def` `associate-r/` `div-exp` `associate-l*` `pow-prod-down`
3×	`add-log-exp`
2×	`cbrt-undiv` `rec-exp` `1-exp` `*-commutative`
1×	`frac-times` `associate-*l/` `un-div-inv` `div-inv` `unswap-sqr`

Counts

3 → 67

Calls

3 calls:

2.0ms	(sinh y)
17.0ms	(* (sin x) (sinh y))
51.0ms	(* (* (sin x) (sinh y)) (/ 1 x))

series303.0ms

Counts

3 → 9

Calls

3 calls:

85.0ms	(sinh y)
98.0ms	(* (sin x) (sinh y))
121.0ms	(* (* (sin x) (sinh y)) (/ 1 x))

simplify2.0s

Counts

76 → 76

Iterations

Useful iterations: 2 (356.0ms)

Iter	Nodes	Cost
0	153	827
1	429	748
2	2487	592
done	5002	592

prune273.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes190.0ms

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

sample3.9s

Algorithm

intervals

Results

868.0ms	1820×	body	1280	valid
825.0ms	10449×	body	80	valid
733.0ms	588×	body	160	valid
648.0ms	1982×	body	640	valid
271.0ms	1096×	body	320	valid