Details

sample56.0ms

Algorithm

intervals

Results

15.0ms	39×	body	1280	valid
12.0ms	219×	body	80	valid
10.0ms	39×	body	640	valid
4.0ms	21×	body	320	valid
1.0ms	10×	body	160	valid

simplify2.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 1 expressions with local error:

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

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 18

Calls

1 calls:

17.0ms

(* (exp re) (sin im))

series51.0ms

Counts

1 → 3

Calls

1 calls:

51.0ms

(* (exp re) (sin im))

simplify2.9s

Counts

21 → 21

Iterations

Useful iterations: 3 (440.0ms)

Iter	Nodes	Cost
0	40	161
1	93	158
2	386	138
3	2737	136
done	5002	136

prune88.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

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)))

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
13×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `sqrt-prod`
12×	`associate-l`
11×	`add-exp-log` `add-cbrt-cube`
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:

3.0ms	(sqrt (exp re))
3.0ms	(sqrt (exp re))
19.0ms	(* (sqrt (exp re)) (sin im))
66.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))

series174.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(sqrt (exp re))
22.0ms	(sqrt (exp re))
60.0ms	(* (sqrt (exp re)) (sin im))
72.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))

simplify792.0ms

Counts

87 → 87

Iterations

Useful iterations: done (789.0ms)

Iter	Nodes	Cost
0	81	731
1	181	676
2	776	526
done	5000	517

prune290.0ms

Pruning

4 alts after pruning (2 fresh and 2 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)) (sin im))
0.0b	(* (sqrt (sqrt (exp re))) (sqrt (sqrt (exp re))))
0.0b	(* (* (sqrt (sqrt (exp re))) (sqrt (sqrt (exp re)))) (* (sqrt (exp re)) (sin im)))

rewrite232.0ms

Algorithm

rewrite-expression-head

Rules

73×	`sqrt-prod`
72×	`sqrt-pow1`
62×	`add-sqr-sqrt`
42×	`pow1`
27×	`add-cube-cbrt` `*-un-lft-identity`
21×	`exp-prod`
20×	`add-exp-log` `add-cbrt-cube`
17×	`pow1/2` `pow-prod-down`
16×	`associate-l`
15×	`swap-sqr`
13×	`associate-r`
12×	`pow-prod-up`
11×	`unswap-sqr`
10×	`prod-exp` `cbrt-unprod`
8×	`pow-sqr`
4×	`add-log-exp`
3×	`*-commutative`
1×	`pow2` `rem-sqrt-square` `pow-plus` `sqrt-unprod` `rem-square-sqrt`

Counts

4 → 144

Calls

4 calls:

3.0ms	(sqrt (exp re))
19.0ms	(* (sqrt (exp re)) (sin im))
37.0ms	(* (sqrt (sqrt (exp re))) (sqrt (sqrt (exp re))))
166.0ms	(* (* (sqrt (sqrt (exp re))) (sqrt (sqrt (exp re)))) (* (sqrt (exp re)) (sin im)))

series147.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(sqrt (exp re))
64.0ms	(* (sqrt (exp re)) (sin im))
19.0ms	(* (sqrt (sqrt (exp re))) (sqrt (sqrt (exp re))))
50.0ms	(* (* (sqrt (sqrt (exp re))) (sqrt (sqrt (exp re)))) (* (sqrt (exp re)) (sin im)))

simplify4.1s

Counts

156 → 156

Iterations

Useful iterations: done (4.1s)

Iter	Nodes	Cost
0	157	1963
1	365	1169
2	2372	905
done	5000	894

prune355.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (sin im) (exp re))
0.2b	(pow (* (sin im) (exp re)) 3)
13.0b	(cbrt (pow (* (sin im) (exp re)) 3))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt`
8×	`pow1` `cbrt-prod` `add-cbrt-cube`
7×	`add-cube-cbrt` `*-un-lft-identity`
6×	`add-exp-log`
3×	`pow-unpow` `associate-r` `associate-l` `add-log-exp`
2×	`cube-mult` `unpow-prod-down` `pow-pow` `unpow3` `cube-prod` `pow-prod-down` `pow-exp` `prod-exp` `cbrt-unprod` `rem-cube-cbrt` `sqr-pow`
1×	`pow-to-exp` `pow1/3` `*-commutative` `rem-cbrt-cube` `unswap-sqr`

Counts

3 → 57

Calls

3 calls:

29.0ms	(* (sin im) (exp re))
26.0ms	(pow (* (sin im) (exp re)) 3)
5.0ms	(cbrt (pow (* (sin im) (exp re)) 3))

series135.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(* (sin im) (exp re))
61.0ms	(pow (* (sin im) (exp re)) 3)
32.0ms	(cbrt (pow (* (sin im) (exp re)) 3))

simplify1.0s

Counts

66 → 66

Iterations

Useful iterations: 2 (206.0ms)

Iter	Nodes	Cost
0	82	627
1	207	515
2	1064	468
done	5001	468

prune153.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes109.0ms

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 (0.0ms)

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

end0.0ms

sample2.6s

Algorithm

intervals

Results

763.0ms	1501×	body	1280	valid
500.0ms	1297×	body	640	valid
496.0ms	6893×	body	80	valid
469.0ms	596×	body	320	valid
39.0ms	316×	body	160	valid