Details

sample161.0ms

Algorithm

intervals

Results

75.0ms	90×	body	1280	valid
29.0ms	73×	body	640	valid
23.0ms	272×	body	80	valid
13.0ms	40×	body	320	valid
5.0ms	25×	body	160	valid

simplify1.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	2018
7	2018
6	1848
5	764
4	238
3	102
2	59
1	23
0	10

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
12×	`*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
6×	`add-cbrt-cube`
5×	`add-exp-log`
4×	`pow1`
3×	`associate-/r` `associate-r` `associate-l` `associate-/l`
2×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

2 → 51

Calls

2 calls:

7.0ms	(* (fma (exp im) 0.5 (/ 0.5 (exp im))) (cos re))
6.0ms	(/ 0.5 (exp im))

series86.0ms

Counts

2 → 6

Calls

2 calls:

72.0ms	(* (fma (exp im) 0.5 (/ 0.5 (exp im))) (cos re))
14.0ms	(/ 0.5 (exp im))

simplify743.0ms

Counts

57 → 57

Iterations

Iter	Nodes
done	2000
3	2000
2	595
1	205
0	102

prune202.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize32.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (fma (exp im) 0.5 (* (sqrt 0.5) (/ (sqrt 0.5) (exp im)))) (cos re))
0.0b	(/ (sqrt 0.5) (exp im))
1.0b	(* (sqrt 0.5) (/ (sqrt 0.5) (exp im)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

53×	`add-sqr-sqrt`
40×	`times-frac`
35×	`*-un-lft-identity` `add-cube-cbrt`
29×	`sqrt-prod`
25×	`associate-r`
12×	`add-cbrt-cube`
10×	`add-exp-log`
9×	`associate-l`
7×	`pow1` `unswap-sqr`
6×	`associate-/l*`
3×	`expm1-log1p-u` `associate-/r*` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `*-commutative` `div-inv`
1×	`clear-num` `frac-2neg` `associate-*r/`

Counts

3 → 114

Calls

3 calls:

9.0ms	(* (fma (exp im) 0.5 (* (sqrt 0.5) (/ (sqrt 0.5) (exp im)))) (cos re))
6.0ms	(/ (sqrt 0.5) (exp im))
18.0ms	(* (sqrt 0.5) (/ (sqrt 0.5) (exp im)))

series303.0ms

Counts

3 → 9

Calls

3 calls:

191.0ms	(* (fma (exp im) 0.5 (* (sqrt 0.5) (/ (sqrt 0.5) (exp im)))) (cos re))
44.0ms	(/ (sqrt 0.5) (exp im))
69.0ms	(* (sqrt 0.5) (/ (sqrt 0.5) (exp im)))

simplify1.1s

Counts

123 → 123

Iterations

Iter	Nodes
done	2002
3	2002
2	1145
1	376
0	165

prune473.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
8×	`add-cbrt-cube`
7×	`pow1` `add-exp-log` `add-log-exp`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`log-prod` `associate-/r` `associate-r` `associate-l` `log-pow` `associate-/l`
2×	`exp-prod` `exp-to-pow`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `rem-log-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr` `rem-exp-log`

Counts

4 → 81

Calls

4 calls:

11.0ms	(* (fma (exp im) 0.5 (/ 0.5 (exp im))) (cos re))
6.0ms	(/ 0.5 (exp im))
6.0ms	(exp (* (fma (exp im) 0.5 (/ 0.5 (exp im))) (cos re)))
4.0ms	(log (exp (* (fma (exp im) 0.5 (/ 0.5 (exp im))) (cos re))))

series328.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(* (fma (exp im) 0.5 (/ 0.5 (exp im))) (cos re))
18.0ms	(/ 0.5 (exp im))
126.0ms	(exp (* (fma (exp im) 0.5 (/ 0.5 (exp im))) (cos re)))
96.0ms	(log (exp (* (fma (exp im) 0.5 (/ 0.5 (exp im))) (cos re))))

simplify887.0ms

Counts

93 → 93

Iterations

Iter	Nodes
done	2010
3	2010
2	732
1	261
0	136

prune426.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes91.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	12
1	12
0	10

end0.0ms

sample6.8s

Algorithm

intervals

Results

2.7s	2944×	body	1280	valid
1.8s	2387×	body	640	valid
1.0s	8444×	body	80	valid
784.0ms	1198×	body	320	valid
140.0ms	650×	body	160	valid