Details

sample233.0ms

Algorithm

intervals

Results

86.0ms	50×	body	1280	valid
21.0ms	37×	body	640	valid
17.0ms	124×	body	80	valid
13.0ms	28×	body	320	valid
8.0ms	256×	pre	80	true
5.0ms	17×	body	160	valid

simplify25.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	9	11
1	14	11
2	18	11
3	21	11
4	22	11
done	22	11

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
0.1b	(* e (sin v))
0.1b	(* e (cos v))

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
12×	`add-exp-log` `add-cbrt-cube`
9×	`add-cube-cbrt` `*-un-lft-identity`
7×	`pow1`
6×	`associate-r` `associate-l`
3×	`times-frac` `prod-exp` `associate-/r*` `cbrt-unprod` `add-log-exp`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-/r/` `*-commutative` `unswap-sqr`
1×	`frac-2neg` `flip3-+` `clear-num` `flip-+` `div-inv` `associate-/l*`

Counts

3 → 59

Calls

3 calls:

51.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
10.0ms	(* e (sin v))
15.0ms	(* e (cos v))

series322.0ms

Counts

3 → 9

Calls

3 calls:

170.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
68.0ms	(* e (sin v))
83.0ms	(* e (cos v))

simplify2.7s

Counts

68 → 68

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	118	723
1	290	687
2	928	601
3	3444	599
done	5001	599

prune247.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
0.1b	(* e (sin v))
0.1b	(* e (cos v))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
12×	`add-exp-log` `add-cbrt-cube`
9×	`add-cube-cbrt` `*-un-lft-identity`
7×	`pow1`
6×	`associate-r` `associate-l`
3×	`times-frac` `prod-exp` `associate-/r*` `cbrt-unprod` `add-log-exp`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-/r/` `*-commutative` `unswap-sqr`
1×	`frac-2neg` `flip3-+` `clear-num` `flip-+` `div-inv` `associate-/l*`

Counts

3 → 59

Calls

3 calls:

41.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
14.0ms	(* e (sin v))
10.0ms	(* e (cos v))

series256.0ms

Counts

3 → 9

Calls

3 calls:

137.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
54.0ms	(* e (sin v))
64.0ms	(* e (cos v))

simplify2.8s

Counts

68 → 68

Iterations

Useful iterations: 3 (1.0s)

Iter	Nodes	Cost
0	118	723
1	290	687
2	928	601
3	3444	599
done	5001	599

prune271.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* (sqrt e) (* (sqrt e) (sin v))) (+ 1.0 (* e (cos v))))
0.1b	(* e (cos v))
0.2b	(* (sqrt e) (* (sqrt e) (sin v)))
0.3b	(* (sqrt e) (sin v))

rewrite197.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log` `add-cbrt-cube`
19×	`add-sqr-sqrt`
15×	`associate-l`
13×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
8×	`prod-exp` `cbrt-unprod`
7×	`associate-r` `sqrt-prod`
5×	`pow-prod-down`
4×	`add-log-exp`
3×	`cbrt-undiv` `times-frac` `div-exp` `associate-/r` `-commutative` `unswap-sqr`
2×	`associate-/r/`
1×	`frac-2neg` `flip3-+` `clear-num` `flip-+` `div-inv` `associate-/l*`

Counts

4 → 86

Calls

4 calls:

77.0ms	(/ (* (sqrt e) (* (sqrt e) (sin v))) (+ 1.0 (* e (cos v))))
19.0ms	(* e (cos v))
68.0ms	(* (sqrt e) (* (sqrt e) (sin v)))
27.0ms	(* (sqrt e) (sin v))

series361.0ms

Counts

4 → 12

Calls

4 calls:

131.0ms	(/ (* (sqrt e) (* (sqrt e) (sin v))) (+ 1.0 (* e (cos v))))
49.0ms	(* e (cos v))
62.0ms	(* (sqrt e) (* (sqrt e) (sin v)))
119.0ms	(* (sqrt e) (sin v))

simplify1.6s

Counts

98 → 98

Iterations

Useful iterations: 2 (399.0ms)

Iter	Nodes	Cost
0	191	1333
1	500	1080
2	1956	924
done	5000	924

prune349.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt e) (cbrt e))
0.7b	(cbrt e)
0.7b	(cbrt e)
0.7b	(cbrt e)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

19.0ms	(* (cbrt e) (cbrt e))
2.0ms	(cbrt e)
2.0ms	(cbrt e)
2.0ms	(cbrt e)

series1.2s

Counts

4 → 12

Calls

4 calls:

364.0ms	(* (cbrt e) (cbrt e))
253.0ms	(cbrt e)
292.0ms	(cbrt e)
294.0ms	(cbrt e)

simplify5.1s

Counts

85 → 85

Iterations

Useful iterations: done (5.1s)

Iter	Nodes	Cost
0	61	524
1	115	417
2	319	397
3	1092	379
4	4427	374
done	5001	364

prune403.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

Details

sample233.0ms

simplify25.0ms

prune4.0ms

localize26.0ms

rewrite85.0ms

series322.0ms

simplify2.7s

prune247.0ms

localize14.0ms

rewrite68.0ms

series256.0ms

simplify2.8s

prune271.0ms

localize20.0ms

rewrite197.0ms

series361.0ms

simplify1.6s

prune349.0ms

localize30.0ms

rewrite27.0ms

series1.2s

simplify5.1s

prune403.0ms

regimes3.0ms