Details

sample209.0ms

Algorithm

intervals

Results

88.0ms	91×	body	1280	valid
43.0ms	80×	body	640	valid
31.0ms	274×	body	80	valid
15.0ms	41×	body	320	valid
3.0ms	14×	body	160	valid

simplify4.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	3423
6	1200
5	471
4	194
3	102
2	61
1	26
0	11

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 2 expressions with local error:

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

rewrite251.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 35

Calls

2 calls:

66.0ms	(+ (exp (- 0.0 im)) (exp im))
182.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

series189.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(+ (exp (- 0.0 im)) (exp im))
146.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

simplify1.6s

Counts

41 → 41

Iterations

Iter	Nodes
done	5001
2	1070
1	279
0	93

prune272.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

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))

rewrite52.0ms

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:

15.0ms	(+ (* (sin re) (exp im)) (/ (sin re) (exp im)))
16.0ms	(* (sin re) (exp im))
19.0ms	(/ (sin re) (exp im))

series162.0ms

Counts

3 → 9

Calls

3 calls:

81.0ms	(+ (* (sin re) (exp im)) (/ (sin re) (exp im)))
50.0ms	(* (sin re) (exp im))
31.0ms	(/ (sin re) (exp im))

simplify1.9s

Counts

66 → 66

Iterations

Iter	Nodes
done	5050
3	2491
2	706
1	245
0	102

prune339.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize69.0ms

Local error

Found 4 expressions with local error:

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

rewrite54.0ms

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` `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 → 58

Calls

4 calls:

20.0ms	(* (cbrt (* (sin re) (exp im))) (cbrt (* (sin re) (exp im))))
8.0ms	(cbrt (* (sin re) (exp im)))
12.0ms	(cbrt (* (sin re) (exp im)))
13.0ms	(cbrt (* (sin re) (exp im)))

series450.0ms

Counts

4 → 12

Calls

4 calls:

133.0ms	(* (cbrt (* (sin re) (exp im))) (cbrt (* (sin re) (exp im))))
110.0ms	(cbrt (* (sin re) (exp im)))
90.0ms	(cbrt (* (sin re) (exp im)))
116.0ms	(cbrt (* (sin re) (exp im)))

simplify1.9s

Counts

70 → 70

Iterations

Iter	Nodes
done	5001
3	1577
2	555
1	185
0	71

prune410.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes125.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	12
1	12
0	9

end0.0ms

sample6.7s

Algorithm

intervals

Results

2.7s	2967×	body	1280	valid
1.3s	2511×	body	640	valid
1.2s	8594×	body	80	valid
770.0ms	1246×	body	320	valid
213.0ms	644×	body	160	valid