Details

sample231.0ms

Algorithm

intervals

Results

100.0ms	144×	body	1280	valid
49.0ms	108×	body	640	valid
44.0ms	152×	body	80	valid
16.0ms	62×	body	320	valid
6.0ms	31×	body	160	valid

simplify5.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
7	2748
6	1311
5	555
4	206
3	88
2	39
1	18
0	10

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 42.7b

localize27.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
6.2b	(- (exp (- im)) (exp im))

rewrite127.0ms

Algorithm

rewrite-expression-head

Rules

27×	`prod-diff`
26×	`add-sqr-sqrt` `*-un-lft-identity`
22×	`add-cube-cbrt`
11×	`distribute-rgt-in` `distribute-lft-in`
7×	`pow1` `add-cbrt-cube` `add-exp-log`
5×	`associate-r`
4×	`add-log-exp`
3×	`sub-neg` `fma-neg` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `flip3--` `associate-*r/` `insert-posit16` `log1p-expm1-u` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`diff-log` `associate-l` `*-commutative`

Counts

2 → 76

Calls

2 calls:

92.0ms	(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
33.0ms	(- (exp (- im)) (exp im))

series176.0ms

Counts

2 → 6

Calls

2 calls:

122.0ms	(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
54.0ms	(- (exp (- im)) (exp im))

simplify2.6s

Counts

82 → 82

Iterations

Iter	Nodes
done	5000
3	4209
2	1099
1	409
0	146

prune303.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.1b

localize34.0ms

Local error

Found 2 expressions with local error:

0.0b	(* im (fma 1/3 (* im im) 2))
0.1b	(* (* 0.5 (sin re)) (- (fma (pow im 5) 1/60 (* im (fma 1/3 (* im im) 2)))))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

13×	`associate-r`
9×	`add-sqr-sqrt` `pow1` `add-cbrt-cube` `add-exp-log`
7×	`*-un-lft-identity` `add-cube-cbrt`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `fma-udef`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
2×	`distribute-rgt-in` `expm1-log1p-u` `distribute-neg-in` `distribute-lft-in` `*-commutative` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`neg-mul-1` `distribute-rgt-neg-out` `unswap-sqr`

Counts

2 → 54

Calls

2 calls:

14.0ms	(* im (fma 1/3 (* im im) 2))
47.0ms	(* (* 0.5 (sin re)) (- (fma (pow im 5) 1/60 (* im (fma 1/3 (* im im) 2)))))

series401.0ms

Counts

2 → 6

Calls

2 calls:

138.0ms	(* im (fma 1/3 (* im im) 2))
263.0ms	(* (* 0.5 (sin re)) (- (fma (pow im 5) 1/60 (* im (fma 1/3 (* im im) 2)))))

simplify1.7s

Counts

60 → 60

Iterations

Iter	Nodes
done	5000
2	1102
1	337
0	125

prune413.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.1b	(* 0.16666666666666666 (* im (* im im)))
0.1b	(* im (* im im))
0.1b	(* (sin re) 0.008333333333333333)
0.1b	(* (sin re) (+ (* 1.0 im) (* 0.16666666666666666 (* im (* im im)))))

rewrite144.0ms

Algorithm

rewrite-expression-head

Rules

31×	`pow1`
22×	`add-cbrt-cube` `add-exp-log`
15×	`add-sqr-sqrt`
12×	`associate-l`
11×	`pow-prod-down` `prod-exp` `cbrt-unprod`
10×	`*-un-lft-identity` `add-cube-cbrt`
8×	`associate-r`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `*-commutative` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`unswap-sqr`
2×	`associate-*r/`
1×	`pow2` `distribute-rgt-in` `distribute-lft-in` `flip3-+` `pow-plus` `cube-unmult` `pow-sqr` `flip-+`

Counts

4 → 97

Calls

4 calls:

56.0ms	(* 0.16666666666666666 (* im (* im im)))
32.0ms	(* im (* im im))
20.0ms	(* (sin re) 0.008333333333333333)
30.0ms	(* (sin re) (+ (* 1.0 im) (* 0.16666666666666666 (* im (* im im)))))

series340.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(* 0.16666666666666666 (* im (* im im)))
54.0ms	(* im (* im im))
32.0ms	(* (sin re) 0.008333333333333333)
204.0ms	(* (sin re) (+ (* 1.0 im) (* 0.16666666666666666 (* im (* im im)))))

simplify1.8s

Counts

109 → 109

Iterations

Iter	Nodes
done	5001
2	1494
1	402
0	154

prune705.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (sin re)) (cbrt (sin re)))
0.6b	(cbrt (sin re))
0.6b	(cbrt (sin re))
0.6b	(cbrt (sin re))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 85

Calls

4 calls:

29.0ms	(* (cbrt (sin re)) (cbrt (sin re)))
3.0ms	(cbrt (sin re))
3.0ms	(cbrt (sin re))
2.0ms	(cbrt (sin re))

series566.0ms

Counts

4 → 12

Calls

4 calls:

178.0ms	(* (cbrt (sin re)) (cbrt (sin re)))
156.0ms	(cbrt (sin re))
100.0ms	(cbrt (sin re))
131.0ms	(cbrt (sin re))

simplify1.9s

Counts

97 → 97

Iterations

Iter	Nodes
done	5001
3	1370
2	475
1	183
0	81

prune570.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes500.0ms

Accuracy

0% (0.8b remaining)

Error of 0.9b against oracle of 0.1b and baseline of 0.9b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	23
1	23
0	17

end0.0ms

sample10.1s

Algorithm

intervals

Results

5.3s	4893×	body	1280	valid
2.6s	3681×	body	640	valid
822.0ms	1921×	body	320	valid
663.0ms	4617×	body	80	valid
219.0ms	886×	body	160	valid