Details

sample78.0ms

Algorithm

intervals

Results

27.0ms	46×	body	1280	valid
16.0ms	237×	body	80	valid
10.0ms	31×	body	640	valid
5.0ms	23×	body	320	valid
1.0ms	6×	body	160	valid

simplify4.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	6
1	6
0	5

prune7.0ms

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) (cos im))

rewrite22.0ms

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:

21.0ms

(* (exp re) (cos im))

series63.0ms

Counts

1 → 3

Calls

1 calls:

63.0ms

(* (exp re) (cos im))

simplify1.9s

Counts

23 → 23

Iterations

Iter	Nodes
done	5001
4	1647
3	662
2	211
1	88
0	40

prune88.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite83.0ms

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:

22.0ms	(* (sqrt (exp re)) (cos im))
4.0ms	(sqrt (exp re))
4.0ms	(sqrt (exp re))
51.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (cos im)))

series133.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(* (sqrt (exp re)) (cos im))
16.0ms	(sqrt (exp re))
16.0ms	(sqrt (exp re))
49.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (cos im)))

simplify3.4s

Counts

95 → 95

Iterations

Iter	Nodes
done	5000
4	3139
3	1197
2	445
1	170
0	81

prune366.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (exp re))
0.0b	(* (sqrt (cbrt (exp re))) (* (sqrt (exp re)) (cos im)))
0.0b	(* (cbrt (exp re)) (cbrt (exp re)))
0.3b	(sqrt (cbrt (exp re)))

rewrite444.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
26×	`cbrt-prod`
18×	`*-un-lft-identity` `add-cube-cbrt`
17×	`pow1`
15×	`associate-l`
12×	`sqrt-prod`
11×	`add-exp-log`
9×	`add-cbrt-cube`
8×	`pow1/3`
7×	`associate-r`
6×	`swap-sqr`
5×	`pow-prod-down`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`rem-sqrt-square` `sqrt-pow1` `pow-sqr` `*-commutative` `pow-prod-up`
1×	`pow2` `pow-plus` `pow1/2`

Counts

4 → 101

Calls

4 calls:

3.0ms	(cbrt (exp re))
413.0ms	(* (sqrt (cbrt (exp re))) (* (sqrt (exp re)) (cos im)))
19.0ms	(* (cbrt (exp re)) (cbrt (exp re)))
4.0ms	(sqrt (cbrt (exp re)))

series501.0ms

Counts

4 → 12

Calls

4 calls:

121.0ms	(cbrt (exp re))
117.0ms	(* (sqrt (cbrt (exp re))) (* (sqrt (exp re)) (cos im)))
152.0ms	(* (cbrt (exp re)) (cbrt (exp re)))
110.0ms	(sqrt (cbrt (exp re)))

simplify2.0s

Counts

113 → 113

Iterations

Iter	Nodes
done	5001
3	1974
2	642
1	263
0	121

prune645.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize87.0ms

Local error

Found 4 expressions with local error:

0.3b	(sqrt (* (* (cbrt (cbrt (exp re))) (cbrt (cbrt (exp re)))) (cbrt (cbrt (exp re)))))
0.3b	(cbrt (cbrt (exp re)))
0.3b	(cbrt (cbrt (exp re)))
0.3b	(cbrt (cbrt (exp re)))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

27×	`cbrt-prod`
24×	`pow1`
15×	`sqrt-pow1`
12×	`pow1/3`
10×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`pow-prod-up`
6×	`pow-plus`
5×	`pow-prod-down`
4×	`expm1-log1p-u` `add-cbrt-cube` `add-exp-log` `log1p-expm1-u` `add-log-exp`
3×	`pow-sqr`
2×	`pow2`
1×	`pow1/2` `pow3` `sqrt-prod`

Counts

4 → 74

Calls

4 calls:

39.0ms	(sqrt (* (* (cbrt (cbrt (exp re))) (cbrt (cbrt (exp re)))) (cbrt (cbrt (exp re)))))
1.0ms	(cbrt (cbrt (exp re)))
1.0ms	(cbrt (cbrt (exp re)))
2.0ms	(cbrt (cbrt (exp re)))

series440.0ms

Counts

4 → 12

Calls

4 calls:

122.0ms	(sqrt (* (* (cbrt (cbrt (exp re))) (cbrt (cbrt (exp re)))) (cbrt (cbrt (exp re)))))
99.0ms	(cbrt (cbrt (exp re)))
122.0ms	(cbrt (cbrt (exp re)))
95.0ms	(cbrt (cbrt (exp re)))

simplify1.8s

Counts

86 → 86

Iterations

Iter	Nodes
done	5146
6	1957
5	796
4	457
3	275
2	185
1	116
0	71

prune583.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes211.0ms

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
done	6
1	6
0	5

end0.0ms

sample2.6s

Algorithm

intervals

Results

874.0ms	6962×	body	80	valid
692.0ms	1513×	body	1280	valid
508.0ms	1241×	body	640	valid
166.0ms	640×	body	320	valid
41.0ms	335×	body	160	valid