Details

sample121.0ms

Algorithm

intervals

Results

39.0ms	92×	body	1280	valid
29.0ms	99×	body	640	valid
19.0ms	291×	body	80	valid
9.0ms	42×	body	320	valid
2.0ms	17×	body	160	valid

simplify15.3s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	15	7
2	30	7
3	67	7
4	137	7
5	265	7
6	482	7
7	1041	7
8	1987	7
9	3484	7
10	4730	7
done	5000	7

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite37.0ms

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×	`expm1-log1p-u` `associate-l` `associate-/r` `log1p-expm1-u` `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 → 74

Calls

3 calls:

3.0ms	(sinh y)
11.0ms	(/ (sinh y) y)
18.0ms	(* (sin x) (/ (sinh y) y))

series360.0ms

Counts

3 → 9

Calls

3 calls:

78.0ms	(sinh y)
138.0ms	(/ (sinh y) y)
144.0ms	(* (sin x) (/ (sinh y) y))

simplify2.8s

Counts

83 → 83

Iterations

Useful iterations: done (2.8s)

Iter	Nodes	Cost
0	146	764
1	337	716
2	1075	650
3	3666	649
done	5000	636

prune244.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.0b	(/ (pow (sinh y) 1) y)
0.0b	(* (sin x) (/ (pow (sinh y) 1) y))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

45×	`times-frac`
44×	`add-sqr-sqrt`
34×	`add-cube-cbrt` `*-un-lft-identity`
25×	`associate-r`
22×	`unpow-prod-down`
18×	`add-exp-log`
10×	`add-cbrt-cube`
8×	`sqr-pow`
7×	`associate-/l*`
6×	`div-exp`
5×	`pow1`
4×	`prod-exp` `unswap-sqr`
3×	`expm1-log1p-u` `associate-l` `associate-/r*` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `pow-to-exp` `pow-exp` `cbrt-unprod` `div-inv`
1×	`sinh-def` `frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

3 → 107

Calls

3 calls:

1.0ms	(sinh y)
10.0ms	(/ (pow (sinh y) 1) y)
25.0ms	(* (sin x) (/ (pow (sinh y) 1) y))

series360.0ms

Counts

3 → 9

Calls

3 calls:

69.0ms	(sinh y)
129.0ms	(/ (pow (sinh y) 1) y)
161.0ms	(* (sin x) (/ (pow (sinh y) 1) y))

simplify1.3s

Counts

116 → 116

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	197	1401
1	413	1058
2	1288	957
done	5001	956

prune419.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (sin x) (/ (sinh y) y))
0.0b	(/ (sinh y) y)
0.1b	(expm1 (* (sin x) (/ (sinh y) y)))
0.1b	(log1p (expm1 (* (sin x) (/ (sinh y) y))))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 86

Calls

4 calls:

35.0ms	(* (sin x) (/ (sinh y) y))
23.0ms	(/ (sinh y) y)
1.0ms	(expm1 (* (sin x) (/ (sinh y) y)))
1.0ms	(log1p (expm1 (* (sin x) (/ (sinh y) y))))

series861.0ms

Counts

4 → 12

Calls

4 calls:

140.0ms	(* (sin x) (/ (sinh y) y))
138.0ms	(/ (sinh y) y)
343.0ms	(expm1 (* (sin x) (/ (sinh y) y)))
240.0ms	(log1p (expm1 (* (sin x) (/ (sinh y) y))))

simplify1.2s

Counts

98 → 98

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	230	1301
1	580	1189
2	2186	1062
done	5000	1048

prune384.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (sin x) (sinh y))
13.8b	(/ (* (sin x) (sinh y)) y)

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:

3.0ms	(sinh y)
24.0ms	(* (sin x) (sinh y))
22.0ms	(/ (* (sin x) (sinh y)) y)

series416.0ms

Counts

3 → 9

Calls

3 calls:

97.0ms	(sinh y)
144.0ms	(* (sin x) (sinh y))
175.0ms	(/ (* (sin x) (sinh y)) y)

simplify1.6s

Counts

64 → 64

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	123	572
1	281	546
2	1031	475
done	5000	455

prune171.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes146.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	8	9
1	11	7
done	11	7

end0.0ms

sample5.4s

Algorithm

intervals

Results

1.7s	2971×	body	1280	valid
1.4s	2460×	body	640	valid
1.2s	8549×	body	80	valid
368.0ms	1237×	body	320	valid
136.0ms	592×	body	160	valid