Details

sample352.0ms

Algorithm

intervals

Results

188.0ms	152×	body	1280	valid
78.0ms	118×	body	640	valid
39.0ms	84×	body	320	valid
21.0ms	153×	body	80	valid
7.0ms	24×	body	160	valid

simplify2.2s

Counts

1 → 1

Iterations

Iter	Nodes
8	2195
7	1711
6	1222
5	541
4	184
3	82
2	37
1	18
0	10

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 45.0b

localize38.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (sin re) (exp im))
0.0b	(* (sin re) (exp im))
4.9b	(- (/ (sin re) (exp im)) (* (sin re) (exp im)))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
7×	`add-cbrt-cube`
5×	`pow1` `add-exp-log` `add-log-exp`
3×	`associate-/r` `associate-r` `associate-l` `insert-posit16` `associate-/l`
2×	`div-inv`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `flip3--` `diff-log` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip--` `distribute-lft-out--` `unswap-sqr`

Counts

3 → 61

Calls

3 calls:

9.0ms	(/ (sin re) (exp im))
12.0ms	(* (sin re) (exp im))
45.0ms	(- (/ (sin re) (exp im)) (* (sin re) (exp im)))

series171.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(/ (sin re) (exp im))
34.0ms	(* (sin re) (exp im))
105.0ms	(- (/ (sin re) (exp im)) (* (sin re) (exp im)))

simplify7.1s

Counts

70 → 70

Iterations

Iter	Nodes
4	6407
3	1879
2	601
1	219
0	99

prune782.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 30.1b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b	(* -2 (* re im))
0.0b	(* 0.5 (* -2 (* re im)))

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1` `add-cbrt-cube` `add-exp-log`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`associate-l`
4×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
2×	`associate-r` `*-commutative` `insert-posit16` `add-log-exp`

Counts

2 → 41

Calls

2 calls:

23.0ms	(* -2 (* re im))
64.0ms	(* 0.5 (* -2 (* re im)))

series61.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(* -2 (* re im))
28.0ms	(* 0.5 (* -2 (* re im)))

simplify993.0ms

Counts

47 → 47

Iterations

Iter	Nodes
3	2556
2	569
1	154
0	62

prune444.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 30.1b

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* -2 (* re im))) (cbrt (* -2 (* re im))))
14.3b	(cbrt (* -2 (* re im)))
14.3b	(cbrt (* -2 (* re im)))
14.3b	(cbrt (* -2 (* re im)))

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

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` `insert-posit16` `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 → 62

Calls

4 calls:

51.0ms	(* (cbrt (* -2 (* re im))) (cbrt (* -2 (* re im))))
17.0ms	(cbrt (* -2 (* re im)))
16.0ms	(cbrt (* -2 (* re im)))
9.0ms	(cbrt (* -2 (* re im)))

series588.0ms

Counts

4 → 12

Calls

4 calls:

202.0ms	(* (cbrt (* -2 (* re im))) (cbrt (* -2 (* re im))))
118.0ms	(cbrt (* -2 (* re im)))
120.0ms	(cbrt (* -2 (* re im)))
148.0ms	(cbrt (* -2 (* re im)))

simplify1.8s

Counts

74 → 74

Iterations

Iter	Nodes
4	3250
3	1240
2	518
1	221
0	88

prune811.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 30.1b

localize36.0ms

Local error

Found 4 expressions with local error:

1.0b	(cbrt -2)
14.3b	(cbrt (* -2 (* re im)))
14.3b	(cbrt (* -2 (* re im)))
14.3b	(cbrt (* re im))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

6×	`cbrt-prod`
5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `add-log-exp`

Counts

4 → 42

Calls

4 calls:

1.0ms	(cbrt -2)
8.0ms	(cbrt (* -2 (* re im)))
8.0ms	(cbrt (* -2 (* re im)))
7.0ms	(cbrt (* re im))

series379.0ms

Counts

4 → 10

Calls

4 calls:

0.0ms	(cbrt -2)
143.0ms	(cbrt (* -2 (* re im)))
153.0ms	(cbrt (* -2 (* re im)))
83.0ms	(cbrt (* re im))

simplify1.3s

Counts

52 → 52

Iterations

Iter	Nodes
5	2841
4	843
3	374
2	177
1	112
0	64

prune581.0ms

Pruning

18 alts after pruning (16 fresh and 2 done)

Merged error: 30.1b

regimes776.0ms

Accuracy

0% (2.9b remaining)

Error of 31.7b against oracle of 28.8b and baseline of 31.7b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
2	10
1	10
0	7

end0.0ms

sample11.8s

Algorithm

intervals

Results

5.9s	4752×	body	1280	valid
3.6s	3808×	body	640	valid
1.0s	1881×	body	320	valid
640.0ms	4382×	body	80	valid
274.0ms	897×	body	160	valid