Details

sample329.0ms

Algorithm

intervals

Results

171.0ms	146×	body	1280	valid
83.0ms	141×	body	640	valid
21.0ms	59×	body	320	valid
19.0ms	163×	body	80	valid
8.0ms	32×	body	160	valid

simplify3.6s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	18	11
2	39	11
3	85	11
4	130	11
5	230	11
6	282	11
7	400	11
8	693	11
9	878	11
10	914	11
11	955	11
done	955	11

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 43.9b

localize25.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
5.7b	(- (exp (- im)) (exp im))

rewrite154.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-sqr-sqrt` `*-un-lft-identity` `add-cbrt-cube`
5×	`associate-r`
4×	`add-log-exp`
3×	`add-cube-cbrt` `sub-neg` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `associate-*r/` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`diff-log` `associate-l` `*-commutative`

Counts

2 → 40

Calls

2 calls:

106.0ms	(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
46.0ms	(- (exp (- im)) (exp im))

series187.0ms

Counts

2 → 6

Calls

2 calls:

122.0ms	(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
64.0ms	(- (exp (- im)) (exp im))

simplify2.9s

Counts

46 → 46

Iterations

Useful iterations: 3 (1.3s)

Iter	Nodes	Cost
0	93	614
1	237	596
2	862	504
3	3315	502
done	5001	502

prune182.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 3 expressions with local error:

0.1b	(* 1/60 (pow im 5))
0.1b	(* (* 0.5 (sin re)) (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))
0.1b	(* -1/3 (pow im 3))

rewrite126.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
22×	`associate-r`
18×	`add-exp-log`
12×	`add-cbrt-cube`
11×	`add-cube-cbrt` `*-un-lft-identity`
9×	`prod-exp`
8×	`pow1` `unpow-prod-down`
7×	`associate-l` `unswap-sqr`
5×	`cbrt-unprod`
4×	`cube-prod` `sqr-pow`
3×	`pow-prod-down` `*-commutative` `add-log-exp`
2×	`distribute-rgt-in` `pow-to-exp` `sub-neg` `distribute-lft-in` `associate-*r/` `pow-exp`
1×	`cube-mult` `flip3--` `unpow3` `flip--`

Counts

3 → 80

Calls

3 calls:

13.0ms	(* 1/60 (pow im 5))
97.0ms	(* (* 0.5 (sin re)) (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))
13.0ms	(* -1/3 (pow im 3))

series409.0ms

Counts

3 → 9

Calls

3 calls:

79.0ms	(* 1/60 (pow im 5))
285.0ms	(* (* 0.5 (sin re)) (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))
45.0ms	(* -1/3 (pow im 3))

simplify1.2s

Counts

89 → 89

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	163	1201
1	407	1120
2	1394	978
done	5000	972

prune402.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize44.0ms

Local error

Found 4 expressions with local error:

0.1b	(* -1/60 (pow im 5))
0.1b	(* (* -1/3 (pow im 3)) (* 0.5 (sin re)))
0.1b	(* (sin re) (* (+ (* im -2) (* -1/60 (pow im 5))) 0.5))
0.1b	(* -1/3 (pow im 3))

rewrite196.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-exp-log`
27×	`prod-exp`
25×	`add-cbrt-cube`
24×	`add-sqr-sqrt`
21×	`associate-r`
14×	`pow1`
13×	`cbrt-unprod`
12×	`add-cube-cbrt` `*-un-lft-identity`
10×	`associate-l`
8×	`unpow-prod-down`
7×	`unswap-sqr`
6×	`pow-prod-down`
4×	`pow-to-exp` `cube-prod` `pow-exp` `*-commutative` `add-log-exp` `sqr-pow`
2×	`associate-r/` `associate-l/`
1×	`cube-mult` `flip3-+` `unpow3` `flip-+`

Counts

4 → 100

Calls

4 calls:

25.0ms	(* -1/60 (pow im 5))
69.0ms	(* (* -1/3 (pow im 3)) (* 0.5 (sin re)))
67.0ms	(* (sin re) (* (+ (* im -2) (* -1/60 (pow im 5))) 0.5))
27.0ms	(* -1/3 (pow im 3))

series616.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(* -1/60 (pow im 5))
83.0ms	(* (* -1/3 (pow im 3)) (* 0.5 (sin re)))
397.0ms	(* (sin re) (* (+ (* im -2) (* -1/60 (pow im 5))) 0.5))
52.0ms	(* -1/3 (pow im 3))

simplify1.2s

Counts

112 → 112

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	185	1320
1	489	1185
2	1769	1023
done	5000	1013

prune600.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (sin re)) (cbrt (sin re)))
0.6b	(cbrt (sin re))
0.6b	(cbrt (sin re))
0.6b	(cbrt (sin re))

rewrite55.0ms

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:

31.0ms	(* (cbrt (sin re)) (cbrt (sin re)))
3.0ms	(cbrt (sin re))
3.0ms	(cbrt (sin re))
3.0ms	(cbrt (sin re))

series631.0ms

Counts

4 → 12

Calls

4 calls:

165.0ms	(* (cbrt (sin re)) (cbrt (sin re)))
163.0ms	(cbrt (sin re))
142.0ms	(cbrt (sin re))
161.0ms	(cbrt (sin re))

simplify3.1s

Counts

85 → 85

Iterations

Useful iterations: done (3.1s)

Iter	Nodes	Cost
0	75	710
1	156	628
2	405	534
3	1260	512
done	5001	507

prune416.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

Details

sample329.0ms

simplify3.6s

prune6.0ms

localize25.0ms

rewrite154.0ms

series187.0ms

simplify2.9s

prune182.0ms

localize18.0ms

rewrite126.0ms

series409.0ms

simplify1.2s

prune402.0ms

localize44.0ms

rewrite196.0ms

series616.0ms

simplify1.2s

prune600.0ms

localize44.0ms

rewrite55.0ms

series631.0ms

simplify3.1s

prune416.0ms

regimes7.0ms