Details

sample87.0ms

Algorithm

intervals

Results

28.0ms	51×	body	1280	valid
17.0ms	228×	body	80	valid
16.0ms	44×	body	640	valid
4.0ms	18×	body	320	valid
2.0ms	12×	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

prune9.0ms

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))

rewrite24.0ms

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:

23.0ms

(* (exp re) (sin im))

series77.0ms

Counts

1 → 3

Calls

1 calls:

76.0ms

(* (exp re) (sin im))

simplify3.0s

Counts

23 → 23

Iterations

Useful iterations: 3 (244.0ms)

Iter	Nodes	Cost
0	42	5398
1	97	5136
2	240	4986
3	760	4946
4	2073	4946
done	5001	4946

prune126.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite71.0ms

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:

2.0ms	(sqrt (exp re))
3.0ms	(sqrt (exp re))
46.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))
18.0ms	(* (sqrt (exp re)) (sin im))

series194.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(sqrt (exp re))
22.0ms	(sqrt (exp re))
73.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))
78.0ms	(* (sqrt (exp re)) (sin im))

simplify4.8s

Counts

95 → 95

Iterations

Useful iterations: done (4.8s)

Iter	Nodes	Cost
0	87	22380
1	193	20723
2	527	19228
3	1591	18953
4	4042	18938
done	5000	18833

prune465.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* (sqrt (exp re)) (sin im))) (cbrt (* (sqrt (exp re)) (sin im))))
0.4b	(cbrt (* (sqrt (exp re)) (sin im)))
0.4b	(cbrt (* (sqrt (exp re)) (sin im)))
0.4b	(cbrt (* (sqrt (exp re)) (sin im)))

rewrite79.0ms

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×	`expm1-log1p-u` `add-cbrt-cube` `swap-sqr` `associate-r` `associate-l` `log1p-expm1-u` `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 → 66

Calls

4 calls:

29.0ms	(* (cbrt (* (sqrt (exp re)) (sin im))) (cbrt (* (sqrt (exp re)) (sin im))))
17.0ms	(cbrt (* (sqrt (exp re)) (sin im)))
16.0ms	(cbrt (* (sqrt (exp re)) (sin im)))
16.0ms	(cbrt (* (sqrt (exp re)) (sin im)))

series440.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(* (cbrt (* (sqrt (exp re)) (sin im))) (cbrt (* (sqrt (exp re)) (sin im))))
106.0ms	(cbrt (* (sqrt (exp re)) (sin im)))
128.0ms	(cbrt (* (sqrt (exp re)) (sin im)))
110.0ms	(cbrt (* (sqrt (exp re)) (sin im)))

simplify1.6s

Counts

78 → 78

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	76	29003
1	184	25362
2	482	25182
3	1344	24405
done	5001	23842

prune492.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (exp re) (sin im))
0.1b	(* (* (* (exp re) (sin im)) (* (exp re) (sin im))) (* (exp re) (sin im)))
0.2b	(* (* (exp re) (sin im)) (* (exp re) (sin im)))
13.7b	(cbrt (* (* (* (exp re) (sin im)) (* (exp re) (sin im))) (* (exp re) (sin im))))

rewrite517.0ms

Algorithm

rewrite-expression-head

Rules

200×	`pow1`
87×	`pow-prod-down`
59×	`add-cbrt-cube`
41×	`add-exp-log`
40×	`prod-exp` `cbrt-unprod`
38×	`pow-prod-up`
19×	`pow-plus`
16×	`pow-sqr`
8×	`add-sqr-sqrt`
6×	`*-un-lft-identity` `add-cube-cbrt`
5×	`associate-r` `associate-l`
4×	`pow2` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
2×	`pow3`
1×	`cbrt-prod` `pow1/3` `swap-sqr` `rem-cbrt-cube` `unswap-sqr`

Counts

4 → 144

Calls

4 calls:

14.0ms	(* (exp re) (sin im))
244.0ms	(* (* (* (exp re) (sin im)) (* (exp re) (sin im))) (* (exp re) (sin im)))
63.0ms	(* (* (exp re) (sin im)) (* (exp re) (sin im)))
190.0ms	(cbrt (* (* (* (exp re) (sin im)) (* (exp re) (sin im))) (* (exp re) (sin im))))

series218.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* (exp re) (sin im))
80.0ms	(* (* (* (exp re) (sin im)) (* (exp re) (sin im))) (* (exp re) (sin im)))
51.0ms	(* (* (exp re) (sin im)) (* (exp re) (sin im)))
47.0ms	(cbrt (* (* (* (exp re) (sin im)) (* (exp re) (sin im))) (* (exp re) (sin im))))

simplify6.5s

Counts

156 → 156

Iterations

Useful iterations: done (6.5s)

Iter	Nodes	Cost
0	124	38750
1	337	33243
2	1193	30614
3	4601	27520
done	5000	27478

prune534.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes289.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	252
1	9	252
done	9	252

end0.0ms

sample2.9s

Algorithm

intervals

Results

1.0s	6994×	body	80	valid
889.0ms	1527×	body	1280	valid
456.0ms	1258×	body	640	valid
120.0ms	612×	body	320	valid
89.0ms	304×	body	160	valid