Details

sample218.0ms

Algorithm

intervals

Results

82.0ms	96×	body	1280	valid
46.0ms	263×	body	80	valid
41.0ms	79×	body	640	valid
11.0ms	30×	body	320	valid
5.0ms	21×	body	160	valid

simplify1.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
5	797
4	204
3	125
2	63
1	26
0	11

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 1 expressions with local error:

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

rewrite169.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-cbrt-cube` `add-exp-log`
4×	`-un-lft-identity` `associate-r*`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-sqr-sqrt` `associate-*r/` `add-cube-cbrt`
1×	`distribute-rgt-in` `expm1-log1p-u` `distribute-lft-in` `flip3-+` `associate-l` `*-commutative` `flip-+` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`

Counts

1 → 25

Calls

1 calls:

166.0ms

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

series125.0ms

Counts

1 → 3

Calls

1 calls:

125.0ms

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

simplify1.0s

Counts

28 → 28

Iterations

Iter	Nodes
done	5000
2	1539
1	253
0	81

prune146.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize37.0ms

Local error

Found 2 expressions with local error:

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

rewrite157.0ms

Algorithm

rewrite-expression-head

Rules

15×	`associate-r`
12×	`pow1` `add-cbrt-cube`
11×	`exp-sum`
10×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`prod-diff` `add-exp-log`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`associate-l`
2×	`expm1-log1p-u` `*-commutative` `log1p-expm1-u` `add-log-exp`
1×	`sub-neg` `exp-diff` `associate-*r/`

Counts

2 → 52

Calls

2 calls:

44.0ms	(* (sin re) (* 0.5 (exp im)))
109.0ms	(* (* (sin re) 0.5) (exp (- 0.0 im)))

series119.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(* (sin re) (* 0.5 (exp im)))
77.0ms	(* (* (sin re) 0.5) (exp (- 0.0 im)))

simplify882.0ms

Counts

58 → 58

Iterations

Iter	Nodes
done	5001
2	1676
1	351
0	133

prune211.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (sin re) (* 0.5 (exp im)))
0.0b	(* (* (sin re) 0.5) (exp (- 0.0 im)))
0.3b	(pow (* (* (sin re) 0.5) (exp (- 0.0 im))) 3)
19.4b	(cbrt (pow (* (* (sin re) 0.5) (exp (- 0.0 im))) 3))

rewrite217.0ms

Algorithm

rewrite-expression-head

Rules

20×	`pow1` `add-cbrt-cube`
15×	`associate-r` `add-exp-log`
14×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
11×	`exp-sum`
9×	`prod-diff` `pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`cbrt-prod`
4×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `pow-pow` `exp-diff` `pow-exp` `associate-*r/` `rem-cube-cbrt`
2×	`cube-div` `cube-mult` `unpow-prod-down` `unpow3` `cube-prod` `*-commutative` `sqr-pow`
1×	`pow-to-exp` `cbrt-div` `sub-neg` `pow1/3` `rem-cbrt-cube`

Counts

4 → 100

Calls

4 calls:

43.0ms	(* (sin re) (* 0.5 (exp im)))
105.0ms	(* (* (sin re) 0.5) (exp (- 0.0 im)))
58.0ms	(pow (* (* (sin re) 0.5) (exp (- 0.0 im))) 3)
6.0ms	(cbrt (pow (* (* (sin re) 0.5) (exp (- 0.0 im))) 3))

series319.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(* (sin re) (* 0.5 (exp im)))
82.0ms	(* (* (sin re) 0.5) (exp (- 0.0 im)))
123.0ms	(pow (* (* (sin re) 0.5) (exp (- 0.0 im))) 3)
59.0ms	(cbrt (pow (* (* (sin re) 0.5) (exp (- 0.0 im))) 3))

simplify1.3s

Counts

112 → 112

Iterations

Iter	Nodes
done	5001
2	2815
1	533
0	195

prune662.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes322.0ms

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	14
1	14
0	11

end0.0ms

sample7.4s

Algorithm

intervals

Results

2.8s	2948×	body	1280	valid
1.8s	2516×	body	640	valid
1.1s	8512×	body	80	valid
861.0ms	1204×	body	320	valid
119.0ms	635×	body	160	valid