Details

sample78.0ms

Algorithm

intervals

Results

30.0ms	101×	body	1280	valid
14.0ms	77×	body	640	valid
11.0ms	247×	body	80	valid
6.0ms	47×	body	320	valid
2.0ms	24×	body	160	valid

simplify17.2s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	7
1	15	7
2	29	7
3	64	7
4	136	7
5	250	7
6	464	7
7	1006	7
8	2118	7
9	3015	7
10	4236	7
11	4715	7
12	4759	7
13	4770	7
done	5000	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite17.0ms

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:

2.0ms	(/ (sinh y) y)
1.0ms	(sinh y)
11.0ms	(* (sin x) (/ (sinh y) y))

series242.0ms

Counts

3 → 9

Calls

3 calls:

84.0ms	(/ (sinh y) y)
59.0ms	(sinh y)
99.0ms	(* (sin x) (/ (sinh y) y))

simplify2.6s

Counts

83 → 83

Iterations

Useful iterations: 3 (1.8s)

Iter	Nodes	Cost
0	146	764
1	346	716
2	1104	650
3	4542	649
done	5000	649

prune201.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 92

Calls

4 calls:

23.0ms	(* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))
0.0ms	(sinh y)
0.0ms	(sinh y)
11.0ms	(* (sin x) (sqrt (/ (sinh y) y)))

series430.0ms

Counts

4 → 12

Calls

4 calls:

124.0ms	(* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))
65.0ms	(sinh y)
61.0ms	(sinh y)
180.0ms	(* (sin x) (sqrt (/ (sinh y) y)))

simplify1.6s

Counts

104 → 104

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	307	1789
1	884	1526
2	3607	1327
done	5001	1314

prune330.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite129.0ms

Algorithm

rewrite-expression-head

Rules

47×	`sqrt-prod`
35×	`associate-r`
31×	`add-sqr-sqrt`
22×	`add-cube-cbrt` `*-un-lft-identity` `sqrt-div`
19×	`times-frac`
15×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`associate-*r/`
7×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`frac-times` `associate-*l/`
4×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`sinh-def` `*-commutative` `div-inv`

Counts

4 → 103

Calls

4 calls:

0.0ms	(sinh y)
1.0ms	(sinh y)
107.0ms	(* (* (* (sin x) (sqrt (sqrt (/ (sinh y) y)))) (sqrt (sqrt (/ (sinh y) y)))) (sqrt (/ (sinh y) y)))
18.0ms	(* (sin x) (sqrt (sqrt (/ (sinh y) y))))

series440.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(sinh y)
64.0ms	(sinh y)
128.0ms	(* (* (* (sin x) (sqrt (sqrt (/ (sinh y) y)))) (sqrt (sqrt (/ (sinh y) y)))) (sqrt (/ (sinh y) y)))
187.0ms	(* (sin x) (sqrt (sqrt (/ (sinh y) y))))

simplify1.4s

Counts

115 → 115

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	302	2258
1	811	1757
2	3105	1381
done	5001	1372

prune381.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (sin x) (sinh y))
12.4b	(* (* (sin x) (sinh y)) (/ 1 y))

rewrite19.0ms

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×	`expm1-log1p-u` `log1p-expm1-u` `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 → 73

Calls

3 calls:

0.0ms	(sinh y)
4.0ms	(* (sin x) (sinh y))
13.0ms	(* (* (sin x) (sinh y)) (/ 1 y))

series251.0ms

Counts

3 → 9

Calls

3 calls:

64.0ms	(sinh y)
87.0ms	(* (sin x) (sinh y))
100.0ms	(* (* (sin x) (sinh y)) (/ 1 y))

simplify1.4s

Counts

82 → 82

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	160	865
1	428	733
2	1299	616
done	5000	615

prune164.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes70.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	22
1	13	22
done	13	22

end0.0ms

sample2.3s

Algorithm

intervals

Results

900.0ms	2992×	body	1280	valid
449.0ms	2379×	body	640	valid
372.0ms	8530×	body	80	valid
159.0ms	1210×	body	320	valid
61.0ms	643×	body	160	valid