Details

sample219.0ms

Algorithm

intervals

Results

69.0ms	76×	body	1280	valid
46.0ms	83×	body	640	valid
45.0ms	36×	body	320	valid
32.0ms	275×	body	80	valid
5.0ms	22×	body	160	valid

simplify965.0ms

Counts

1 → 1

Iterations

Iter	Nodes
13	569
12	569
11	548
10	492
9	421
8	366
7	277
6	208
5	200
4	176
3	152
2	94
1	49
0	11

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (sin re) (exp im))
0.0b	(+ (* (sin re) (exp im)) (/ (sin re) (exp im)))
0.0b	(/ (sin re) (exp im))

rewrite79.0ms

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` `+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

3 → 60

Calls

3 calls:

21.0ms	(* (sin re) (exp im))
31.0ms	(+ (* (sin re) (exp im)) (/ (sin re) (exp im)))
26.0ms	(/ (sin re) (exp im))

series180.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(* (sin re) (exp im))
98.0ms	(+ (* (sin re) (exp im)) (/ (sin re) (exp im)))
40.0ms	(/ (sin re) (exp im))

simplify814.0ms

Counts

69 → 69

Iterations

Iter	Nodes
3	2426
2	1011
1	433
0	105

prune669.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize33.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (sin re) (exp im))
0.0b	(+ (/ (sin re) (exp im)) (* (sin re) (exp im)))
0.0b	(/ (sin re) (exp im))

rewrite58.0ms

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` `+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

3 → 60

Calls

3 calls:

11.0ms	(* (sin re) (exp im))
28.0ms	(+ (/ (sin re) (exp im)) (* (sin re) (exp im)))
18.0ms	(/ (sin re) (exp im))

series225.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(* (sin re) (exp im))
118.0ms	(+ (/ (sin re) (exp im)) (* (sin re) (exp im)))
51.0ms	(/ (sin re) (exp im))

simplify767.0ms

Counts

69 → 69

Iterations

Iter	Nodes
3	2469
2	1003
1	429
0	104

prune595.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp im) (/ 1 (exp im)))
0.0b	(* (sin re) (+ (exp im) (/ 1 (exp im))))
0.0b	(/ 1 (exp im))

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity`
16×	`add-sqr-sqrt`
14×	`add-cube-cbrt`
9×	`times-frac`
7×	`add-cbrt-cube`
6×	`pow1` `add-exp-log`
5×	`associate-r` `add-log-exp`
4×	`pow-flip` `distribute-lft-out`
3×	`exp-prod` `associate-/r` `associate-l` `insert-posit16` `div-inv` `associate-/l`
2×	`flip3-+` `div-exp` `associate-*r/` `flip-+`
1×	`distribute-rgt-in` `cbrt-undiv` `+-commutative` `rec-exp` `clear-num` `sum-log` `frac-2neg` `distribute-lft-in` `1-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `inv-pow` `unswap-sqr`

Counts

3 → 74

Calls

3 calls:

20.0ms	(+ (exp im) (/ 1 (exp im)))
64.0ms	(* (sin re) (+ (exp im) (/ 1 (exp im))))
6.0ms	(/ 1 (exp im))

series135.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(+ (exp im) (/ 1 (exp im)))
74.0ms	(* (sin re) (+ (exp im) (/ 1 (exp im))))
15.0ms	(/ 1 (exp im))

simplify1.5s

Counts

83 → 83

Iterations

Iter	Nodes
3	3751
2	1231
1	497
0	121

prune745.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (exp im) (exp im))
0.0b	(* (exp im) (exp im))
0.0b	(/ (/ 1 (* (exp im) (exp im))) (exp im))
6.8b	(- (/ 1 (* (exp im) (exp im))) 1)

rewrite119.0ms

Algorithm

rewrite-expression-head

Rules

59×	`add-sqr-sqrt`
55×	`*-un-lft-identity`
54×	`exp-prod`
46×	`add-cube-cbrt`
39×	`times-frac`
27×	`pow1`
17×	`add-cbrt-cube`
12×	`pow-sqr` `pow-prod-up`
11×	`div-exp`
10×	`add-exp-log` `pow-flip` `pow-div`
8×	`pow-prod-down`
7×	`associate-/l*`
6×	`swap-sqr` `associate-r` `associate-l` `div-inv` `add-log-exp` `difference-of-squares`
5×	`cbrt-undiv` `prod-exp`
4×	`insert-posit16`
3×	`pow2` `associate-/r*` `pow-plus` `difference-of-sqr-1` `cbrt-unprod`
2×	`rec-exp` `1-exp` `*-commutative` `distribute-lft-out--` `unswap-sqr`
1×	`clear-num` `sub-neg` `frac-2neg` `flip3--` `diff-log` `flip--` `associate-/l/`

Counts

4 → 157

Calls

4 calls:

25.0ms	(* (exp im) (exp im))
25.0ms	(* (exp im) (exp im))
27.0ms	(/ (/ 1 (* (exp im) (exp im))) (exp im))
37.0ms	(- (/ 1 (* (exp im) (exp im))) 1)

series126.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* (exp im) (exp im))
15.0ms	(* (exp im) (exp im))
31.0ms	(/ (/ 1 (* (exp im) (exp im))) (exp im))
57.0ms	(- (/ 1 (* (exp im) (exp im))) 1)

simplify1.5s

Counts

169 → 169

Iterations

Iter	Nodes
3	3305
2	1478
1	804
0	198

prune2.1s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes113.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
2	23
1	23
0	16

end0.0ms

sample9.0s

Algorithm

intervals

Results

3.9s	2952×	body	1280	valid
2.1s	2467×	body	640	valid
1.7s	8505×	body	80	valid
612.0ms	1226×	body	320	valid
247.0ms	598×	body	160	valid