Details

sample94.0ms

Algorithm

intervals

Results

30.0ms	228×	body	80	valid
28.0ms	51×	body	1280	valid
14.0ms	44×	body	640	valid
4.0ms	18×	body	320	valid
2.0ms	12×	body	160	valid

simplify2.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

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×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `add-log-exp` `unswap-sqr`

Counts

1 → 18

Calls

1 calls:

23.0ms

(* (exp re) (sin im))

series61.0ms

Counts

1 → 3

Calls

1 calls:

61.0ms

(* (exp re) (sin im))

simplify2.6s

Counts

21 → 21

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	40	4894
1	93	4682
2	233	4492
3	667	4492
4	1641	4492
done	5000	4492

prune128.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

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))

rewrite87.0ms

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×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`rem-sqrt-square` `pow1/2` `*-commutative` `unswap-sqr`

Counts

4 → 75

Calls

4 calls:

4.0ms	(sqrt (exp re))
4.0ms	(sqrt (exp re))
49.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))
26.0ms	(* (sqrt (exp re)) (sin im))

series164.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(sqrt (exp re))
17.0ms	(sqrt (exp re))
55.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))
69.0ms	(* (sqrt (exp re)) (sin im))

simplify4.7s

Counts

87 → 87

Iterations

Useful iterations: 4 (2.4s)

Iter	Nodes	Cost
0	81	20368
1	182	18911
2	499	17511
3	1325	17301
4	3824	17181
done	5007	17181

prune494.0ms

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)))

rewrite77.0ms

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×	`add-cbrt-cube` `swap-sqr` `associate-r` `associate-l` `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 → 58

Calls

4 calls:

38.0ms	(* (cbrt (* (sqrt (exp re)) (sin im))) (cbrt (* (sqrt (exp re)) (sin im))))
17.0ms	(cbrt (* (sqrt (exp re)) (sin im)))
12.0ms	(cbrt (* (sqrt (exp re)) (sin im)))
8.0ms	(cbrt (* (sqrt (exp re)) (sin im)))

series560.0ms

Counts

4 → 12

Calls

4 calls:

139.0ms	(* (cbrt (* (sqrt (exp re)) (sin im))) (cbrt (* (sqrt (exp re)) (sin im))))
108.0ms	(cbrt (* (sqrt (exp re)) (sin im)))
158.0ms	(cbrt (* (sqrt (exp re)) (sin im)))
155.0ms	(cbrt (* (sqrt (exp re)) (sin im)))

simplify3.8s

Counts

70 → 70

Iterations

Useful iterations: done (3.8s)

Iter	Nodes	Cost
0	72	25947
1	179	22406
2	475	22326
3	1242	21446
4	4389	21006
done	5004	20612

prune437.0ms

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

rewrite470.0ms

Algorithm

rewrite-expression-head

Rules

173×	`pow1`
78×	`pow-prod-down`
59×	`add-cbrt-cube`
41×	`add-exp-log`
40×	`prod-exp` `cbrt-unprod`
34×	`pow-prod-up`
12×	`pow-sqr`
8×	`add-sqr-sqrt`
6×	`*-un-lft-identity` `pow-plus` `add-cube-cbrt`
5×	`associate-r` `associate-l`
4×	`add-log-exp`
3×	`pow2` `*-commutative`
2×	`cube-unmult`
1×	`cbrt-prod` `pow1/3` `swap-sqr` `rem-cbrt-cube` `unswap-sqr`

Counts

4 → 125

Calls

4 calls:

11.0ms	(* (sin im) (exp re))
191.0ms	(* (* (sin im) (exp re)) (* (* (sin im) (exp re)) (* (sin im) (exp re))))
73.0ms	(* (* (sin im) (exp re)) (* (sin im) (exp re)))
189.0ms	(cbrt (* (* (sin im) (exp re)) (* (* (sin im) (exp re)) (* (sin im) (exp re)))))

series235.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* (sin im) (exp re))
87.0ms	(* (* (sin im) (exp re)) (* (* (sin im) (exp re)) (* (sin im) (exp re))))
58.0ms	(* (* (sin im) (exp re)) (* (sin im) (exp re)))
49.0ms	(cbrt (* (* (sin im) (exp re)) (* (* (sin im) (exp re)) (* (sin im) (exp re)))))

simplify3.5s

Counts

137 → 137

Iterations

Useful iterations: done (3.5s)

Iter	Nodes	Cost
0	119	35150
1	340	30888
2	1364	26829
done	5004	24509

prune311.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes201.0ms

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	7	252
1	9	252
done	9	252

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.2s	1527×	body	1280	valid
538.0ms	6994×	body	80	valid
413.0ms	1258×	body	640	valid
140.0ms	612×	body	320	valid
37.0ms	304×	body	160	valid