Details

sample133.0ms

Algorithm

intervals

Results

56.0ms	86×	body	1280	valid
27.0ms	86×	body	640	valid
20.0ms	284×	body	80	valid
11.0ms	53×	body	320	valid
2.0ms	15×	body	160	valid

simplify3.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
8	4594
7	2791
6	1848
5	764
4	238
3	102
2	59
1	23
0	10

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 3 expressions with local error:

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

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 62

Calls

3 calls:

0.0ms	(fma (exp im) 0.5 (/ 0.5 (exp im)))
14.0ms	(* (fma (exp im) 0.5 (/ 0.5 (exp im))) (cos re))
10.0ms	(/ 0.5 (exp im))

series166.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(fma (exp im) 0.5 (/ 0.5 (exp im)))
89.0ms	(* (fma (exp im) 0.5 (/ 0.5 (exp im))) (cos re))
18.0ms	(/ 0.5 (exp im))

simplify2.3s

Counts

71 → 71

Iterations

Iter	Nodes
done	5008
3	2365
2	624
1	226
0	113

prune292.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

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

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
25×	`*-un-lft-identity` `add-cube-cbrt`
18×	`times-frac`
15×	`add-cbrt-cube`
13×	`add-exp-log`
12×	`associate-l`
11×	`pow1`
7×	`sqrt-prod`
6×	`associate-/r` `associate-/l`
4×	`expm1-log1p-u` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `*-commutative` `div-inv` `unswap-sqr`

Counts

4 → 109

Calls

4 calls:

16.0ms	(* (sqrt (fma (exp im) 0.5 (/ 0.5 (exp im)))) (cos re))
9.0ms	(/ 0.5 (exp im))
10.0ms	(/ 0.5 (exp im))
49.0ms	(* (sqrt (fma (exp im) 0.5 (/ 0.5 (exp im)))) (* (sqrt (fma (exp im) 0.5 (/ 0.5 (exp im)))) (cos re)))

series210.0ms

Counts

4 → 12

Calls

4 calls:

103.0ms	(* (sqrt (fma (exp im) 0.5 (/ 0.5 (exp im)))) (cos re))
13.0ms	(/ 0.5 (exp im))
13.0ms	(/ 0.5 (exp im))
81.0ms	(* (sqrt (fma (exp im) 0.5 (/ 0.5 (exp im)))) (* (sqrt (fma (exp im) 0.5 (/ 0.5 (exp im)))) (cos re)))

simplify1.8s

Counts

121 → 121

Iterations

Iter	Nodes
done	5007
3	2706
2	794
1	289
0	134

prune667.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize65.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (* (sqrt (fma (exp im) 0.5 (/ 0.5 (exp im)))) (cos re))) (cbrt (* (sqrt (fma (exp im) 0.5 (/ 0.5 (exp im)))) (cos re))))
0.3b	(cbrt (* (sqrt (fma (exp im) 0.5 (/ 0.5 (exp im)))) (cos re)))
0.3b	(cbrt (* (sqrt (fma (exp im) 0.5 (/ 0.5 (exp im)))) (cos re)))
0.3b	(cbrt (* (sqrt (fma (exp im) 0.5 (/ 0.5 (exp im)))) (cos re)))

rewrite68.0ms

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×	`expm1-log1p-u` `add-cbrt-cube` `swap-sqr` `associate-r` `associate-l` `insert-posit16` `log1p-expm1-u` `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 → 70

Calls

4 calls:

42.0ms	(* (cbrt (* (sqrt (fma (exp im) 0.5 (/ 0.5 (exp im)))) (cos re))) (cbrt (* (sqrt (fma (exp im) 0.5 (/ 0.5 (exp im)))) (cos re))))
10.0ms	(cbrt (* (sqrt (fma (exp im) 0.5 (/ 0.5 (exp im)))) (cos re)))
7.0ms	(cbrt (* (sqrt (fma (exp im) 0.5 (/ 0.5 (exp im)))) (cos re)))
7.0ms	(cbrt (* (sqrt (fma (exp im) 0.5 (/ 0.5 (exp im)))) (cos re)))

series851.0ms

Counts

4 → 12

Calls

4 calls:

196.0ms	(* (cbrt (* (sqrt (fma (exp im) 0.5 (/ 0.5 (exp im)))) (cos re))) (cbrt (* (sqrt (fma (exp im) 0.5 (/ 0.5 (exp im)))) (cos re))))
217.0ms	(cbrt (* (sqrt (fma (exp im) 0.5 (/ 0.5 (exp im)))) (cos re)))
233.0ms	(cbrt (* (sqrt (fma (exp im) 0.5 (/ 0.5 (exp im)))) (cos re)))
205.0ms	(cbrt (* (sqrt (fma (exp im) 0.5 (/ 0.5 (exp im)))) (cos re)))

simplify1.3s

Counts

82 → 82

Iterations

Iter	Nodes
done	5000
3	1345
2	534
1	203
0	84

prune514.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes93.0ms

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	9
1	9
0	8

end0.0ms

sample5.5s

Algorithm

intervals

Results

2.1s	2952×	body	1280	valid
1.4s	8467×	body	80	valid
1.2s	2371×	body	640	valid
317.0ms	1196×	body	320	valid
191.0ms	660×	body	160	valid