Details

sample84.0ms

Algorithm

intervals

Results

29.0ms	43×	body	1280	valid
16.0ms	208×	body	80	valid
14.0ms	37×	body	640	valid
4.0ms	17×	body	320	valid
2.0ms	15×	body	160	valid

simplify4.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	172
1	6	172
done	6	172

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 1 expressions with local error:

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

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt`
3×	`pow1` `-un-lft-identity` `add-cbrt-cube` `associate-r` `associate-l*` `add-cube-cbrt`
2×	`add-exp-log`
1×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 20

Calls

1 calls:

37.0ms

(* (exp re) (sin im))

series53.0ms

Counts

1 → 3

Calls

1 calls:

53.0ms

(* (exp re) (sin im))

simplify2.6s

Counts

23 → 23

Iterations

Useful iterations: 3 (591.0ms)

Iter	Nodes	Cost
0	42	5398
1	97	5136
2	381	5066
3	2667	4946
done	5000	4946

prune105.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (exp re))
0.0b	(sqrt (exp re))
0.0b	(* (sqrt (exp re)) (sin im))
0.0b	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))

rewrite123.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
13×	`pow1` `*-un-lft-identity` `add-cube-cbrt` `sqrt-prod`
12×	`associate-l`
11×	`add-cbrt-cube` `add-exp-log`
8×	`sqrt-pow1`
6×	`exp-prod`
4×	`expm1-log1p-u` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `pow1/2` `*-commutative` `unswap-sqr`

Counts

4 → 83

Calls

4 calls:

5.0ms	(sqrt (exp re))
5.0ms	(sqrt (exp re))
30.0ms	(* (sqrt (exp re)) (sin im))
80.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))

series156.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(sqrt (exp re))
13.0ms	(sqrt (exp re))
55.0ms	(* (sqrt (exp re)) (sin im))
65.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))

simplify1.1s

Counts

95 → 95

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	87	22380
1	193	20723
2	794	19468
done	5001	18938

prune427.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (sqrt (exp re)))
0.0b	(sqrt (sqrt (exp re)))
0.0b	(* (* (sqrt (sqrt (exp re))) (sqrt (sqrt (exp re)))) (* (sqrt (exp re)) (sin im)))
0.0b	(* (sqrt (sqrt (exp re))) (sqrt (sqrt (exp re))))

rewrite260.0ms

Algorithm

rewrite-expression-head

Rules

88×	`sqrt-pow1`
86×	`sqrt-prod`
62×	`add-sqr-sqrt`
43×	`pow1`
28×	`*-un-lft-identity` `add-cube-cbrt`
24×	`exp-prod`
20×	`pow1/2`
18×	`add-cbrt-cube` `add-exp-log`
16×	`pow-prod-down`
15×	`swap-sqr`
12×	`pow-prod-up`
10×	`associate-r` `associate-l`
9×	`prod-exp` `cbrt-unprod` `unswap-sqr`
8×	`pow-sqr`
4×	`expm1-log1p-u` `rem-sqrt-square` `log1p-expm1-u` `add-log-exp`
2×	`*-commutative`
1×	`pow2` `rem-square-sqrt` `pow-plus` `sqrt-unprod`

Counts

4 → 158

Calls

4 calls:

7.0ms	(sqrt (sqrt (exp re)))
6.0ms	(sqrt (sqrt (exp re)))
177.0ms	(* (* (sqrt (sqrt (exp re))) (sqrt (sqrt (exp re)))) (* (sqrt (exp re)) (sin im)))
58.0ms	(* (sqrt (sqrt (exp re))) (sqrt (sqrt (exp re))))

series283.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(sqrt (sqrt (exp re)))
108.0ms	(sqrt (sqrt (exp re)))
65.0ms	(* (* (sqrt (sqrt (exp re))) (sqrt (sqrt (exp re)))) (* (sqrt (exp re)) (sin im)))
26.0ms	(* (sqrt (sqrt (exp re))) (sqrt (sqrt (exp re))))

simplify1.9s

Counts

170 → 170

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	151	43726
1	354	32367
2	1847	30247
done	5001	29817

prune682.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (sqrt (exp re)) (sin im))
0.0b	(* (sqrt (exp re)) (log (exp (* (sqrt (exp re)) (sin im)))))
0.1b	(exp (* (sqrt (exp re)) (sin im)))
1.5b	(log (exp (* (sqrt (exp re)) (sin im))))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
13×	`*-un-lft-identity` `add-cube-cbrt`
12×	`associate-l`
10×	`pow1`
9×	`log-prod` `associate-r`
8×	`add-cbrt-cube` `add-exp-log` `sqrt-prod` `add-log-exp`
6×	`log-pow`
4×	`expm1-log1p-u` `log1p-expm1-u` `unswap-sqr`
3×	`distribute-rgt-in` `exp-prod` `distribute-lft-in` `exp-to-pow`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod`
1×	`rem-log-exp` `rem-exp-log`

Counts

4 → 85

Calls

4 calls:

24.0ms	(* (sqrt (exp re)) (sin im))
26.0ms	(* (sqrt (exp re)) (log (exp (* (sqrt (exp re)) (sin im)))))
9.0ms	(exp (* (sqrt (exp re)) (sin im)))
6.0ms	(log (exp (* (sqrt (exp re)) (sin im))))

series264.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(* (sqrt (exp re)) (sin im))
61.0ms	(* (sqrt (exp re)) (log (exp (* (sqrt (exp re)) (sin im)))))
77.0ms	(exp (* (sqrt (exp re)) (sin im)))
62.0ms	(log (exp (* (sqrt (exp re)) (sin im))))

simplify1.2s

Counts

97 → 97

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	107	37116
1	219	30275
2	870	28613
done	5000	28444

prune441.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes243.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	172
1	6	172
done	6	172

end0.0ms

sample2.7s

Algorithm

intervals

Results

985.0ms	1496×	body	1280	valid
851.0ms	6951×	body	80	valid
452.0ms	1311×	body	640	valid
115.0ms	599×	body	320	valid
51.0ms	349×	body	160	valid