Details

sample90.0ms

Algorithm

intervals

Results

37.0ms	105×	body	1280	valid
16.0ms	76×	body	640	valid
12.0ms	268×	body	80	valid
5.0ms	41×	body	320	valid
2.0ms	26×	body	160	valid

simplify75.0ms

Counts

1 → 1

Iterations

Useful iterations: 4 (10.0ms)

Iter	Nodes	Cost
0	23	7
1	60	7
2	112	7
3	236	7
4	520	6
5	702	6
6	1514	6
7	2284	6
8	5001	6
done	5001	6

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma 0.5 (exp im) (/ 0.5 (exp im)))
0.0b	(* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re))
0.0b	(/ 0.5 (exp im))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
7×	`add-cbrt-cube`
6×	`add-exp-log`
5×	`pow1`
3×	`expm1-log1p-u` `associate-r` `associate-l` `associate-/r` `log1p-expm1-u` `associate-/l` `add-log-exp`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `fma-udef` `div-inv` `unswap-sqr`

Counts

3 → 59

Calls

3 calls:

0.0ms	(fma 0.5 (exp im) (/ 0.5 (exp im)))
8.0ms	(* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re))
7.0ms	(/ 0.5 (exp im))

series131.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(fma 0.5 (exp im) (/ 0.5 (exp im)))
74.0ms	(* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re))
15.0ms	(/ 0.5 (exp im))

simplify124.0ms

Counts

68 → 68

Iterations

Useful iterations: 3 (119.0ms)

Iter	Nodes	Cost
0	215	417
1	712	366
2	4318	366
3	5001	364
done	5001	364

prune167.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re))
0.0b	(/ 0.5 (exp im))
0.1b	(exp (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re)))
0.3b	(log (exp (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re))))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
8×	`add-cbrt-cube`
7×	`pow1` `add-exp-log` `add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`log-prod` `associate-r` `associate-l` `associate-/r` `log-pow` `associate-/l`
2×	`exp-prod` `exp-to-pow`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `rem-log-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `div-inv` `rem-exp-log` `unswap-sqr`

Counts

4 → 77

Calls

4 calls:

8.0ms	(* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re))
6.0ms	(/ 0.5 (exp im))
6.0ms	(exp (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re)))
4.0ms	(log (exp (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re))))

series254.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re))
13.0ms	(/ 0.5 (exp im))
93.0ms	(exp (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re)))
73.0ms	(log (exp (* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re))))

simplify144.0ms

Counts

89 → 89

Iterations

Useful iterations: 3 (137.0ms)

Iter	Nodes	Cost
0	247	636
1	818	552
2	4635	551
3	5001	548
done	5001	548

prune232.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes42.0ms

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	9	6
1	9	6
done	9	6

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.1s	2965×	body	1280	valid
518.0ms	2534×	body	640	valid
359.0ms	8456×	body	80	valid
172.0ms	1290×	body	320	valid
54.0ms	600×	body	160	valid