Details

sample260.0ms

Algorithm

intervals

Results

132.0ms	107×	body	1280	valid
48.0ms	76×	body	640	valid
38.0ms	278×	body	80	valid
16.0ms	35×	body	320	valid
5.0ms	18×	body	160	valid

simplify5.7s

Counts

1 → 1

Iterations

Iter	Nodes
11	2057
10	1487
9	1224
8	917
7	777
6	669
5	347
4	178
3	98
2	60
1	27
0	11

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

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

rewrite36.0ms

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` `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 → 57

Calls

3 calls:

16.0ms	(+ (* (sin re) (exp im)) (/ (sin re) (exp im)))
8.0ms	(/ (sin re) (exp im))
10.0ms	(* (sin re) (exp im))

series173.0ms

Counts

3 → 9

Calls

3 calls:

99.0ms	(+ (* (sin re) (exp im)) (/ (sin re) (exp im)))
37.0ms	(/ (sin re) (exp im))
36.0ms	(* (sin re) (exp im))

simplify2.2s

Counts

66 → 66

Iterations

Iter	Nodes
3	2173
2	714
1	243
0	102

prune659.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 3 expressions with local error:

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

rewrite92.0ms

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` `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 → 71

Calls

3 calls:

66.0ms	(* (sin re) (+ (exp im) (/ 1 (exp im))))
18.0ms	(+ (exp im) (/ 1 (exp im)))
6.0ms	(/ 1 (exp im))

series122.0ms

Counts

3 → 9

Calls

3 calls:

73.0ms	(* (sin re) (+ (exp im) (/ 1 (exp im))))
35.0ms	(+ (exp im) (/ 1 (exp im)))
13.0ms	(/ 1 (exp im))

simplify1.7s

Counts

80 → 80

Iterations

Iter	Nodes
3	2881
2	811
1	286
0	118

prune833.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp im) (+ (* (* im im) 1/2) (- 1 im)))
0.0b	(+ (* (* im im) 1/2) (- 1 im))
0.0b	(* (* im im) 1/2)
0.0b	(* (sin re) (+ (exp im) (+ (* (* im im) 1/2) (- 1 im))))

rewrite372.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-log-exp`
11×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log`
10×	`add-sqr-sqrt`
7×	`sum-log` `associate-r` `add-cube-cbrt`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`associate-+r+` `associate-+r-` `flip3-+` `flip-+`
2×	`+-commutative` `diff-log` `associate-r/` `-commutative` `distribute-lft-out` `unswap-sqr`
1×	`distribute-rgt-in` `sub-neg` `distribute-lft-in`

Counts

4 → 73

Calls

4 calls:

82.0ms	(+ (exp im) (+ (* (* im im) 1/2) (- 1 im)))
19.0ms	(+ (* (* im im) 1/2) (- 1 im))
23.0ms	(* (* im im) 1/2)
247.0ms	(* (sin re) (+ (exp im) (+ (* (* im im) 1/2) (- 1 im))))

series248.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(+ (exp im) (+ (* (* im im) 1/2) (- 1 im)))
33.0ms	(+ (* (* im im) 1/2) (- 1 im))
53.0ms	(* (* im im) 1/2)
118.0ms	(* (sin re) (+ (exp im) (+ (* (* im im) 1/2) (- 1 im))))

simplify5.4s

Counts

85 → 85

Iterations

Iter	Nodes
3	9490
2	1637
1	405
0	137

prune933.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes98.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
2	13
1	13
0	10

end0.0ms

sample9.3s

Algorithm

intervals

Results

4.2s	3019×	body	1280	valid
2.3s	2479×	body	640	valid
1.4s	8524×	body	80	valid
713.0ms	1257×	body	320	valid
241.0ms	597×	body	160	valid