Details

sample373.0ms

Algorithm

intervals

Results

168.0ms	157×	body	1280	valid
125.0ms	126×	body	640	valid
28.0ms	58×	body	320	valid
20.0ms	141×	body	80	valid
10.0ms	32×	body	160	valid

simplify3.4s

Counts

1 → 1

Iterations

Iter	Nodes
9	2280
8	1941
7	1597
6	1196
5	528
4	186
3	84
2	39
1	18
0	10

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 44.0b

localize41.0ms

Local error

Found 2 expressions with local error:

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

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log`
5×	`associate-r`
4×	`add-log-exp`
3×	`sub-neg` `pow-prod-down` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
2×	`distribute-rgt-in` `distribute-lft-in` `flip3--` `associate-*r/` `insert-posit16` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`diff-log` `associate-l` `*-commutative`

Counts

2 → 42

Calls

2 calls:

50.0ms	(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
18.0ms	(- (exp (- im)) (exp im))

series150.0ms

Counts

2 → 6

Calls

2 calls:

96.0ms	(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
53.0ms	(- (exp (- im)) (exp im))

simplify1.1s

Counts

48 → 48

Iterations

Iter	Nodes
3	3408
2	823
1	258
0	94

prune474.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize54.0ms

Local error

Found 4 expressions with local error:

0.0b	(* -1/60 (pow im 5))
0.1b	(* im (* im im))
0.2b	(* -1/3 (* im (* im im)))
0.2b	(* (* 0.5 (sin re)) (+ (* -1/60 (pow im 5)) (+ (* im -2) (* -1/3 (* im (* im im))))))

rewrite159.0ms

Algorithm

rewrite-expression-head

Rules

32×	`pow1`
28×	`add-exp-log`
25×	`add-cbrt-cube`
16×	`add-sqr-sqrt`
15×	`prod-exp`
13×	`cbrt-unprod`
12×	`associate-r` `pow-prod-down`
10×	`-un-lft-identity` `associate-l*` `add-cube-cbrt`
5×	`pow-prod-up`
4×	`unpow-prod-down` `*-commutative` `insert-posit16` `add-log-exp` `unswap-sqr`
2×	`associate-*r/` `sqr-pow`
1×	`pow2` `distribute-rgt-in` `pow-to-exp` `distribute-lft-in` `flip3-+` `pow-plus` `cube-unmult` `pow-exp` `pow-sqr` `flip-+`

Counts

4 → 96

Calls

4 calls:

8.0ms	(* -1/60 (pow im 5))
13.0ms	(* im (* im im))
57.0ms	(* -1/3 (* im (* im im)))
80.0ms	(* (* 0.5 (sin re)) (+ (* -1/60 (pow im 5)) (+ (* im -2) (* -1/3 (* im (* im im))))))

series316.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(* -1/60 (pow im 5))
35.0ms	(* im (* im im))
43.0ms	(* -1/3 (* im (* im im)))
183.0ms	(* (* 0.5 (sin re)) (+ (* -1/60 (pow im 5)) (+ (* im -2) (* -1/3 (* im (* im im))))))

simplify4.5s

Counts

108 → 108

Iterations

Iter	Nodes
3	10384
2	1769
1	462
0	174

prune1.4s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize57.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* (* im im) im) (sin re))
0.1b	(* (* im im) im)
0.1b	(* (* im im) im)
0.2b	(* (sin re) (+ (* (* (* im im) (* (* im im) im)) 0.008333333333333333) (* im 1.0)))

rewrite883.0ms

Algorithm

rewrite-expression-head

Rules

53×	`pow1`
25×	`add-cbrt-cube` `add-exp-log`
13×	`add-sqr-sqrt` `pow-prod-down` `prod-exp` `cbrt-unprod`
12×	`pow-plus` `associate-r` `pow-prod-up`
9×	`*-un-lft-identity` `add-cube-cbrt`
6×	`associate-l`
4×	`pow2` `pow-sqr` `*-commutative` `insert-posit16` `add-log-exp`
3×	`unswap-sqr`
2×	`pow3` `associate-*r/`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `flip-+`

Counts

4 → 103

Calls

4 calls:

69.0ms	(* (* (* im im) im) (sin re))
30.0ms	(* (* im im) im)
20.0ms	(* (* im im) im)
763.0ms	(* (sin re) (+ (* (* (* im im) (* (* im im) im)) 0.008333333333333333) (* im 1.0)))

series528.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(* (* (* im im) im) (sin re))
53.0ms	(* (* im im) im)
55.0ms	(* (* im im) im)
361.0ms	(* (sin re) (+ (* (* (* im im) (* (* im im) im)) 0.008333333333333333) (* im 1.0)))

simplify3.1s

Counts

115 → 115

Iterations

Iter	Nodes
3	6209
2	1219
1	328
0	113

prune1.5s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize50.0ms

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))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`add-cbrt-cube` `insert-posit16` `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 → 77

Calls

4 calls:

29.0ms	(* (cbrt (sin re)) (cbrt (sin re)))
2.0ms	(cbrt (sin re))
2.0ms	(cbrt (sin re))
2.0ms	(cbrt (sin re))

series588.0ms

Counts

4 → 12

Calls

4 calls:

170.0ms	(* (cbrt (sin re)) (cbrt (sin re)))
151.0ms	(cbrt (sin re))
133.0ms	(cbrt (sin re))
134.0ms	(cbrt (sin re))

simplify2.3s

Counts

89 → 89

Iterations

Iter	Nodes
4	4199
3	1337
2	426
1	174
0	77

prune1.4s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0b

regimes419.0ms

Accuracy

0% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 0.7b

bsearch0.0ms

simplify24.0ms

Iterations

Iter	Nodes
6	46
5	46
4	44
3	38
2	31
1	27
0	17

end0.0ms

sample12.5s

Algorithm

intervals

Results

5.9s	4794×	body	1280	valid
3.4s	3824×	body	640	valid
1.2s	4393×	body	80	valid
1.2s	1878×	body	320	valid
328.0ms	968×	body	160	valid