Details

sample183.0ms

Algorithm

intervals

Results

69.0ms	90×	body	1280	valid
37.0ms	97×	body	640	valid
25.0ms	303×	body	80	valid
15.0ms	49×	body	320	valid
3.0ms	19×	body	160	valid

simplify2.9s

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	139	7
5	271	7
6	828	7
7	4211	7
done	5000	7

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite47.0ms

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:

10.0ms	(/ (sinh y) y)
2.0ms	(sinh y)
32.0ms	(* (sin x) (/ (sinh y) y))

series361.0ms

Counts

3 → 9

Calls

3 calls:

124.0ms	(/ (sinh y) y)
88.0ms	(sinh y)
150.0ms	(* (sin x) (/ (sinh y) y))

simplify1.4s

Counts

83 → 83

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	146	764
1	363	720
2	1761	657
done	5000	649

prune438.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (sin x) (sinh y))
12.1b	(* (* (sin x) (sinh y)) (/ 1 y))

rewrite76.0ms

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:

2.0ms	(sinh y)
22.0ms	(* (sin x) (sinh y))
50.0ms	(* (* (sin x) (sinh y)) (/ 1 y))

series407.0ms

Counts

3 → 9

Calls

3 calls:

93.0ms	(sinh y)
141.0ms	(* (sin x) (sinh y))
173.0ms	(* (* (sin x) (sinh y)) (/ 1 y))

simplify2.8s

Counts

82 → 82

Iterations

Useful iterations: done (2.8s)

Iter	Nodes	Cost
0	160	865
1	446	782
2	2543	630
done	5002	621

prune428.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b	(sinh y)
0.0b	(sqrt (sin x))
0.0b	(sqrt (sin x))
0.2b	(* (sqrt (sin x)) (* (sqrt (sin x)) (/ (sinh y) y)))

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-exp-log` `add-cbrt-cube`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`sqrt-prod`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`associate-l`
5×	`prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-prod-down`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-*r/`
1×	`cbrt-undiv` `sinh-def` `div-exp` `associate-r` `*-commutative`

Counts

4 → 66

Calls

4 calls:

2.0ms	(sinh y)
4.0ms	(sqrt (sin x))
4.0ms	(sqrt (sin x))
71.0ms	(* (sqrt (sin x)) (* (sqrt (sin x)) (/ (sinh y) y)))

series374.0ms

Counts

4 → 12

Calls

4 calls:

127.0ms	(sinh y)
29.0ms	(sqrt (sin x))
34.0ms	(sqrt (sin x))
183.0ms	(* (sqrt (sin x)) (* (sqrt (sin x)) (/ (sinh y) y)))

simplify1.4s

Counts

78 → 78

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	118	758
1	299	577
2	1187	502
done	5001	490

prune511.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes337.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample7.2s

Algorithm

intervals

Results

2.9s	3043×	body	1280	valid
1.7s	2424×	body	640	valid
1.1s	8472×	body	80	valid
436.0ms	1224×	body	320	valid
240.0ms	620×	body	160	valid