Details

sample189.0ms

Algorithm

intervals

Results

76.0ms	101×	body	1280	valid
39.0ms	82×	body	640	valid
26.0ms	268×	body	80	valid
13.0ms	43×	body	320	valid
3.0ms	13×	body	160	valid

simplify1.2s

Counts

1 → 1

Iterations

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

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize32.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (* (sin re) 0.5) (+ (exp (- 0.0 im)) (exp im)))

rewrite184.0ms

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:

181.0ms

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

series125.0ms

Counts

1 → 3

Calls

1 calls:

125.0ms

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

simplify925.0ms

Counts

28 → 28

Iterations

Iter	Nodes
done	5000
2	1504
1	254
0	81

prune147.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.2b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma 0.5 (* re (pow im 2)) (fma 1.0 re (* 0.16666666666666666 (- (pow re 3)))))
0.0b	(fma 1.0 re (* 0.16666666666666666 (- (pow re 3))))
0.1b	(* 0.16666666666666666 (- (pow re 3)))
7.1b	(* re (pow im 2))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

36×	`associate-r`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
12×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
11×	`add-exp-log`
10×	`unpow-prod-down`
8×	`add-cbrt-cube`
6×	`pow1` `cube-prod` `associate-l`
5×	`unswap-sqr`
4×	`expm1-log1p-u` `prod-exp` `log1p-expm1-u` `add-log-exp` `sqr-pow`
2×	`cube-mult` `unpow3` `*-commutative` `cbrt-unprod` `fma-udef` `unpow2`
1×	`pow-to-exp` `neg-mul-1` `pow-prod-down` `pow-exp` `distribute-rgt-neg-out`

Counts

4 → 95

Calls

4 calls:

0.0ms	(fma 0.5 (* re (pow im 2)) (fma 1.0 re (* 0.16666666666666666 (- (pow re 3)))))
0.0ms	(fma 1.0 re (* 0.16666666666666666 (- (pow re 3))))
32.0ms	(* 0.16666666666666666 (- (pow re 3)))
18.0ms	(* re (pow im 2))

series284.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(fma 0.5 (* re (pow im 2)) (fma 1.0 re (* 0.16666666666666666 (- (pow re 3)))))
100.0ms	(fma 1.0 re (* 0.16666666666666666 (- (pow re 3))))
47.0ms	(* 0.16666666666666666 (- (pow re 3)))
43.0ms	(* re (pow im 2))

simplify731.0ms

Counts

107 → 107

Iterations

Iter	Nodes
done	5001
2	1500
1	355
0	153

prune623.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.2b

localize56.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt im)
0.6b	(cbrt im)
0.8b	(pow (cbrt im) 3)
6.3b	(* (* (cbrt im) (pow (cbrt im) 3)) re)

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-exp-log`
12×	`cbrt-prod` `add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
8×	`add-cbrt-cube`
7×	`pow1` `prod-exp`
6×	`unpow-prod-down` `cube-prod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `pow1/3` `associate-r` `cbrt-unprod`
2×	`pow-to-exp` `pow-pow` `pow-exp`
1×	`cube-mult` `unpow3` `associate-l` `pow-prod-down` `*-commutative` `rem-cube-cbrt` `sqr-pow`

Counts

4 → 79

Calls

4 calls:

1.0ms	(cbrt im)
1.0ms	(cbrt im)
6.0ms	(pow (cbrt im) 3)
55.0ms	(* (* (cbrt im) (pow (cbrt im) 3)) re)

series1.2s

Counts

4 → 12

Calls

4 calls:

287.0ms	(cbrt im)
291.0ms	(cbrt im)
323.0ms	(pow (cbrt im) 3)
264.0ms	(* (* (cbrt im) (pow (cbrt im) 3)) re)

simplify1.1s

Counts

91 → 91

Iterations

Iter	Nodes
done	5000
2	1415
1	282
0	96

prune551.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.2b

localize57.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt im)
0.6b	(cbrt im)
0.8b	(pow (log1p (expm1 (cbrt im))) 3)
6.3b	(* (* (cbrt im) (pow (log1p (expm1 (cbrt im))) 3)) re)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-exp-log`
10×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`add-cbrt-cube`
7×	`pow1` `prod-exp`
6×	`cbrt-prod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `unpow-prod-down` `cube-prod` `associate-r` `cbrt-unprod`
2×	`pow-to-exp` `pow1/3` `pow-exp`
1×	`cube-mult` `pow-pow` `unpow3` `associate-l` `pow-prod-down` `*-commutative` `rem-cube-cbrt` `sqr-pow`

Counts

4 → 72

Calls

4 calls:

1.0ms	(cbrt im)
1.0ms	(cbrt im)
4.0ms	(pow (log1p (expm1 (cbrt im))) 3)
20.0ms	(* (* (cbrt im) (pow (log1p (expm1 (cbrt im))) 3)) re)

series1.3s

Counts

4 → 12

Calls

4 calls:

222.0ms	(cbrt im)
227.0ms	(cbrt im)
558.0ms	(pow (log1p (expm1 (cbrt im))) 3)
316.0ms	(* (* (cbrt im) (pow (log1p (expm1 (cbrt im))) 3)) re)

simplify1.9s

Counts

84 → 84

Iterations

Iter	Nodes
done	5001
2	1536
1	263
0	98

prune521.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.2b

regimes186.0ms

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
done	14
1	14
0	11

end0.0ms

sample6.9s

Algorithm

intervals

Results

2.8s	3036×	body	1280	valid
1.4s	8534×	body	80	valid
1.4s	2502×	body	640	valid
434.0ms	1211×	body	320	valid
122.0ms	596×	body	160	valid