Details

sample92.0ms

Algorithm

intervals

Results

35.0ms	102×	body	1280	valid
19.0ms	85×	body	640	valid
14.0ms	276×	body	80	valid
6.0ms	37×	body	320	valid
2.0ms	19×	body	160	valid

simplify5.2s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	197
1	15	197
2	28	197
3	50	197
4	85	197
5	134	197
6	308	197
7	905	197
8	2115	197
9	4361	197
done	5060	197

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b	(cosh x)
0.0b	(* (cosh x) (/ (sin y) y))
0.1b	(/ (sin 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×	`cosh-def` `associate-/r` `associate-l` `associate-/l` `add-log-exp`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`frac-times` `clear-num` `frac-2neg` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`

Counts

3 → 69

Calls

3 calls:

2.0ms	(cosh x)
24.0ms	(* (cosh x) (/ (sin y) y))
13.0ms	(/ (sin y) y)

series195.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(cosh x)
106.0ms	(* (cosh x) (/ (sin y) y))
39.0ms	(/ (sin y) y)

simplify3.7s

Counts

78 → 78

Iterations

Useful iterations: 3 (2.0s)

Iter	Nodes	Cost
0	130	20529
1	299	18613
2	986	17933
3	3237	17249
done	5011	17249

prune424.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (exp x) (/ (sin y) y)) (/ (/ (sin y) y) (exp x)))
0.0b	(/ (/ (sin y) y) (exp x))
0.1b	(/ (sin y) y)
0.1b	(/ (sin y) y)

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

93×	`times-frac`
62×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
19×	`associate-/l*`
13×	`add-cbrt-cube`
11×	`add-exp-log`
9×	`associate-/r*`
7×	`div-inv`
6×	`add-log-exp`
5×	`cbrt-undiv` `div-exp`
4×	`pow1`
3×	`clear-num` `frac-2neg`
1×	`+-commutative` `sum-log` `flip3-+` `frac-add` `associate-*r/` `flip-+` `associate-/l/`

Counts

4 → 136

Calls

4 calls:

36.0ms	(+ (* (exp x) (/ (sin y) y)) (/ (/ (sin y) y) (exp x)))
28.0ms	(/ (/ (sin y) y) (exp x))
12.0ms	(/ (sin y) y)
13.0ms	(/ (sin y) y)

series297.0ms

Counts

4 → 12

Calls

4 calls:

136.0ms	(+ (* (exp x) (/ (sin y) y)) (/ (/ (sin y) y) (exp x)))
56.0ms	(/ (/ (sin y) y) (exp x))
52.0ms	(/ (sin y) y)
53.0ms	(/ (sin y) y)

simplify2.1s

Counts

148 → 148

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	203	53386
1	488	50109
2	1397	49478
done	5000	49397

prune920.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(cosh x)
0.0b	(* (cosh x) (sin y))
0.2b	(* (* (cosh x) (sin y)) (/ 1 y))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 67

Calls

3 calls:

2.0ms	(cosh x)
17.0ms	(* (cosh x) (sin y))
31.0ms	(* (* (cosh x) (sin y)) (/ 1 y))

series287.0ms

Counts

3 → 9

Calls

3 calls:

61.0ms	(cosh x)
116.0ms	(* (cosh x) (sin y))
109.0ms	(* (* (cosh x) (sin y)) (/ 1 y))

simplify4.2s

Counts

76 → 76

Iterations

Useful iterations: 3 (2.2s)

Iter	Nodes	Cost
0	149	22736
1	383	19532
2	1138	17563
3	3675	17033
done	5009	17033

prune406.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (* (cosh x) (/ (sin y) y))) (cbrt (* (cosh x) (/ (sin y) y))))
0.3b	(cbrt (* (cosh x) (/ (sin y) y)))
0.3b	(cbrt (* (cosh x) (/ (sin y) y)))
0.3b	(cbrt (* (cosh x) (/ (sin y) y)))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

33×	`cbrt-div`
22×	`cosh-def`
20×	`frac-times`
14×	`associate-l/` `associate-r/`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`add-cbrt-cube` `swap-sqr` `associate-r` `associate-l` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 82

Calls

4 calls:

25.0ms	(* (cbrt (* (cosh x) (/ (sin y) y))) (cbrt (* (cosh x) (/ (sin y) y))))
9.0ms	(cbrt (* (cosh x) (/ (sin y) y)))
8.0ms	(cbrt (* (cosh x) (/ (sin y) y)))
5.0ms	(cbrt (* (cosh x) (/ (sin y) y)))

series938.0ms

Counts

4 → 12

Calls

4 calls:

267.0ms	(* (cbrt (* (cosh x) (/ (sin y) y))) (cbrt (* (cosh x) (/ (sin y) y))))
230.0ms	(cbrt (* (cosh x) (/ (sin y) y)))
223.0ms	(cbrt (* (cosh x) (/ (sin y) y)))
218.0ms	(cbrt (* (cosh x) (/ (sin y) y)))

simplify228.0ms

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	142	42688