Details

sample132.0ms

Algorithm

intervals

Results

55.0ms	63×	body	1280	valid
34.0ms	207×	body	80	valid
19.0ms	32×	body	640	valid
7.0ms	17×	body	320	valid
3.0ms	11×	body	160	valid

simplify5.0ms

Counts

1 → 1

Iterations

Iter	Nodes
2	6
1	6
0	5

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 1 expressions with local error:

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

rewrite13.0ms

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` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 21

Calls

1 calls:

13.0ms

(* (exp re) (sin im))

series77.0ms

Counts

1 → 3

Calls

1 calls:

77.0ms

(* (exp re) (sin im))

simplify3.4s

Counts

24 → 24

Iterations

Iter	Nodes
6	3026
5	1738
4	1074
3	532
2	222
1	96
0	43

prune240.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

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))

rewrite90.0ms

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` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `pow1/2` `*-commutative` `unswap-sqr`

Counts

4 → 87

Calls

4 calls:

3.0ms	(sqrt (exp re))
2.0ms	(sqrt (exp re))
57.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))
27.0ms	(* (sqrt (exp re)) (sin im))

series135.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(sqrt (exp re))
20.0ms	(sqrt (exp re))
47.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))
50.0ms	(* (sqrt (exp re)) (sin im))

simplify1.8s

Counts

99 → 99

Iterations

Iter	Nodes
4	2708
3	1281
2	482
1	194
0	90

prune1.0s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

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

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
17×	`pow1`
16×	`associate-l`
13×	`*-un-lft-identity` `add-cube-cbrt`
12×	`add-exp-log`
11×	`add-cbrt-cube`
8×	`sqrt-prod`
7×	`associate-r`
6×	`exp-prod`
5×	`sqrt-pow1` `pow-prod-down` `prod-exp` `pow-prod-up` `cbrt-unprod`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`*-commutative`
2×	`cbrt-prod` `pow-plus` `pow1/2` `cube-unmult`
1×	`pow1/3` `rem-cbrt-cube`

Counts

4 → 93

Calls

4 calls:

33.0ms	(* (sqrt (exp re)) (exp re))
45.0ms	(* (cbrt (* (sqrt (exp re)) (exp re))) (* (sqrt (exp re)) (sin im)))
24.0ms	(* (sqrt (exp re)) (sin im))
18.0ms	(cbrt (* (sqrt (exp re)) (exp re)))

series248.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(* (sqrt (exp re)) (exp re))
73.0ms	(* (cbrt (* (sqrt (exp re)) (exp re))) (* (sqrt (exp re)) (sin im)))
95.0ms	(* (sqrt (exp re)) (sin im))
21.0ms	(cbrt (* (sqrt (exp re)) (exp re)))

simplify2.4s

Counts

105 → 105

Iterations

Iter	Nodes
4	3719
3	1688
2	710
1	284
0	127

prune1.3s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (* (sqrt (exp re)) (exp re)))
0.0b	(* (sqrt (cbrt (* (sqrt (exp re)) (exp re)))) (sqrt (cbrt (* (sqrt (exp re)) (exp re)))))
0.2b	(sqrt (cbrt (* (sqrt (exp re)) (exp re))))
0.2b	(sqrt (cbrt (* (sqrt (exp re)) (exp re))))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

30×	`sqrt-prod`
29×	`add-sqr-sqrt`
21×	`pow1`
18×	`sqrt-pow1`
14×	`*-un-lft-identity` `add-cube-cbrt`
10×	`pow1/2`
9×	`pow1/3` `swap-sqr`
7×	`cbrt-prod` `associate-r` `associate-l`
6×	`add-cbrt-cube` `add-exp-log` `pow-prod-up`
4×	`expm1-log1p-u` `pow-prod-down` `pow-sqr` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`rem-sqrt-square`
1×	`pow2` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `cube-unmult` `prod-exp` `*-commutative` `rem-cbrt-cube` `cbrt-unprod`

Counts

4 → 107

Calls

4 calls:

10.0ms	(cbrt (* (sqrt (exp re)) (exp re)))
26.0ms	(* (sqrt (cbrt (* (sqrt (exp re)) (exp re)))) (sqrt (cbrt (* (sqrt (exp re)) (exp re)))))
4.0ms	(sqrt (cbrt (* (sqrt (exp re)) (exp re))))
7.0ms	(sqrt (cbrt (* (sqrt (exp re)) (exp re))))

series221.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(cbrt (* (sqrt (exp re)) (exp re)))
15.0ms	(* (sqrt (cbrt (* (sqrt (exp re)) (exp re)))) (sqrt (cbrt (* (sqrt (exp re)) (exp re)))))
97.0ms	(sqrt (cbrt (* (sqrt (exp re)) (exp re))))
95.0ms	(sqrt (cbrt (* (sqrt (exp re)) (exp re))))

simplify4.4s

Counts

119 → 119

Iterations

Iter	Nodes
5	6269
4	1200
3	610
2	354
1	177
0	92

prune1.4s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes232.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
2	6
1	6
0	5

end0.0ms

sample3.7s

Algorithm

intervals

Results

1.2s	1514×	body	1280	valid
875.0ms	7037×	body	80	valid
675.0ms	611×	body	320	valid
647.0ms	1261×	body	640	valid
62.0ms	303×	body	160	valid