Details

sample128.0ms

Algorithm

intervals

Results

52.0ms	102×	body	1280	valid
25.0ms	85×	body	640	valid
18.0ms	276×	body	80	valid
7.0ms	37×	body	320	valid
2.0ms	19×	body	160	valid

simplify4.9s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	197
1	15	197
2	28	197
3	50	197
4	89	197
5	142	197
6	316	197
7	941	197
8	1946	197
9	4149	197
done	5012	197

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite45.0ms

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×	`expm1-log1p-u` `cosh-def` `associate-/r` `associate-l` `log1p-expm1-u` `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 → 75

Calls

3 calls:

2.0ms	(cosh x)
25.0ms	(* (cosh x) (/ (sin y) y))
14.0ms	(/ (sin y) y)

series211.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(cosh x)
105.0ms	(* (cosh x) (/ (sin y) y))
43.0ms	(/ (sin y) y)

simplify3.3s

Counts

84 → 84

Iterations

Useful iterations: 3 (1.8s)

Iter	Nodes	Cost
0	136	21717
1	310	19701
2	1047	19001
3	3506	18237
done	5104	18237

prune387.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma (exp x) (sin y) (/ (sin y) (exp x)))
0.0b	(/ (sin y) (exp x))
0.1b	(/ (fma (exp x) (sin y) (/ (sin y) (exp x))) (* 2 y))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
12×	`times-frac`
10×	`add-cbrt-cube`
9×	`add-exp-log`
6×	`associate-/l*`
4×	`associate-/r*`
3×	`expm1-log1p-u` `pow1` `cbrt-undiv` `div-exp` `log1p-expm1-u` `add-log-exp`
2×	`clear-num` `frac-2neg` `div-inv`
1×	`prod-exp` `cbrt-unprod` `fma-udef`

Counts

3 → 62

Calls

3 calls:

0.0ms	(fma (exp x) (sin y) (/ (sin y) (exp x)))
14.0ms	(/ (sin y) (exp x))
14.0ms	(/ (fma (exp x) (sin y) (/ (sin y) (exp x))) (* 2 y))

series301.0ms

Counts

3 → 9

Calls

3 calls:

117.0ms	(fma (exp x) (sin y) (/ (sin y) (exp x)))
45.0ms	(/ (sin y) (exp x))
139.0ms	(/ (fma (exp x) (sin y) (/ (sin y) (exp x))) (* 2 y))

simplify3.4s

Counts

71 → 71

Iterations

Useful iterations: done (3.4s)

Iter	Nodes	Cost
0	127	24014
1	279	22536
2	982	22215
3	3870	22080
done	5000	21914

prune462.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

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))

rewrite53.0ms

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

Calls

3 calls:

1.0ms	(cosh x)
12.0ms	(* (cosh x) (sin y))
38.0ms	(* (* (cosh x) (sin y)) (/ 1 y))

series242.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(cosh x)
82.0ms	(* (cosh x) (sin y))
105.0ms	(* (* (cosh x) (sin y)) (/ 1 y))

simplify3.9s

Counts

82 → 82

Iterations

Useful iterations: done (3.9s)

Iter	Nodes	Cost
0	155	24118
1	395	20691
2	1163	18734
3	3894	17293
done	5001	17292

prune320.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

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

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

103×	`cbrt-prod`
81×	`add-sqr-sqrt`
69×	`times-frac`
57×	`*-un-lft-identity` `add-cube-cbrt`
16×	`swap-sqr` `associate-r` `associate-l`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `div-inv`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-l/` `prod-exp` `associate-r/` `*-commutative` `cbrt-unprod`

Counts

4 → 152

Calls

4 calls:

43.0ms	(* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))
3.0ms	(cbrt (/ (sin y) y))
4.0ms	(cbrt (/ (sin y) y))
4.0ms	(cbrt (/ (sin y) y))

series831.0ms

Counts

4 → 12

Calls

4 calls:

268.0ms	(* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))
189.0ms	(cbrt (/ (sin y) y))
186.0ms	(cbrt (/ (sin y) y))
188.0ms	(cbrt (/ (sin y) y))

simplify115.0ms

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	171	65055