Details

sample243.0ms

Algorithm

intervals

Results

97.0ms	136×	body	1280	valid
85.0ms	119×	body	640	valid
23.0ms	72×	body	320	valid
14.0ms	144×	body	80	valid
9.0ms	43×	body	160	valid

simplify4.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5014
8	4841
7	2530
6	1227
5	512
4	186
3	84
2	39
1	18
0	10

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 40.7b

localize22.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
7.2b	(- (exp (- im)) (exp im))

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 42

Calls

2 calls:

72.0ms	(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
24.0ms	(- (exp (- im)) (exp im))

series158.0ms

Counts

2 → 6

Calls

2 calls:

101.0ms	(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
57.0ms	(- (exp (- im)) (exp im))

simplify3.0s

Counts

48 → 48

Iterations

Iter	Nodes
done	5002
3	3770
2	861
1	258
0	94

prune317.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.1b

localize44.0ms

Local error

Found 4 expressions with local error:

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

rewrite328.0ms

Algorithm

rewrite-expression-head

Rules

32×	`pow1`
28×	`add-exp-log`
25×	`add-cbrt-cube`
16×	`add-sqr-sqrt`
15×	`prod-exp`
14×	`associate-l`
13×	`cbrt-unprod`
12×	`pow-prod-down`
10×	`*-un-lft-identity` `add-cube-cbrt`
8×	`associate-r`
5×	`pow-prod-up`
4×	`unpow-prod-down` `*-commutative` `insert-posit16` `add-log-exp` `unswap-sqr`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/` `sqr-pow`
1×	`pow2` `pow-to-exp` `pow-plus` `flip3--` `cube-unmult` `pow-exp` `pow-sqr` `flip--`

Counts

4 → 98

Calls

4 calls:

8.0ms	(* (pow im 5) 1/60)
21.0ms	(* im (* im im))
56.0ms	(* -1/3 (* im (* im im)))
242.0ms	(* (* 0.5 (sin re)) (- (* -1/3 (* im (* im im))) (+ im (+ im (* (pow im 5) 1/60)))))

series415.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(* (pow im 5) 1/60)
63.0ms	(* im (* im im))
52.0ms	(* -1/3 (* im (* im im)))
232.0ms	(* (* 0.5 (sin re)) (- (* -1/3 (* im (* im im))) (+ im (+ im (* (pow im 5) 1/60)))))

simplify2.1s

Counts

110 → 110

Iterations

Iter	Nodes
done	5000
2	1700
1	449
0	172

prune649.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize63.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- (* (* im im) (* im (sin re)))) 0.16666666666666666)
0.1b	(* (* im im) (* im (sin re)))
0.1b	(* im (sin re))
0.1b	(* im (sin re))

rewrite117.0ms

Algorithm

rewrite-expression-head

Rules

22×	`pow1` `add-cbrt-cube` `add-exp-log`
16×	`add-sqr-sqrt`
13×	`associate-l`
11×	`pow-prod-down` `prod-exp` `cbrt-unprod`
10×	`-un-lft-identity` `associate-r*` `add-cube-cbrt`
4×	`*-commutative` `insert-posit16` `add-log-exp`
3×	`unswap-sqr`
1×	`distribute-lft-neg-out` `distribute-lft-neg-in` `neg-mul-1` `distribute-rgt-neg-in`

Counts

4 → 84

Calls

4 calls:

27.0ms	(* (- (* (* im im) (* im (sin re)))) 0.16666666666666666)
58.0ms	(* (* im im) (* im (sin re)))
16.0ms	(* im (sin re))
15.0ms	(* im (sin re))

series234.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(* (- (* (* im im) (* im (sin re)))) 0.16666666666666666)
64.0ms	(* (* im im) (* im (sin re)))
41.0ms	(* im (sin re))
66.0ms	(* im (sin re))

simplify1.5s

Counts

96 → 96

Iterations

Iter	Nodes
done	5000
2	1300
1	272
0	98

prune929.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize97.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt im) (cbrt im))
0.6b	(cbrt im)
0.6b	(cbrt im)
0.6b	(cbrt im)

rewrite11.0ms

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×	`add-cbrt-cube` `insert-posit16` `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 → 77

Calls

4 calls:

8.0ms	(* (cbrt im) (cbrt im))
1.0ms	(cbrt im)
1.0ms	(cbrt im)
1.0ms	(cbrt im)

series1.1s

Counts

4 → 12

Calls

4 calls:

296.0ms	(* (cbrt im) (cbrt im))
258.0ms	(cbrt im)
266.0ms	(cbrt im)
288.0ms	(cbrt im)

simplify3.2s

Counts

89 → 89

Iterations

Iter	Nodes
done	5001
4	3895
3	1039
2	380
1	138
0	63

prune482.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

regimes482.0ms

Accuracy

0% (0.7b remaining)

Error of 0.8b against oracle of 0.1b and baseline of 0.8b

bsearch0.0ms

simplify18.0ms

Iterations

Iter	Nodes
done	46
3	46
2	45
1	31
0	18

end0.0ms

sample11.3s

Algorithm

intervals

Results

5.0s	4689×	body	1280	valid
3.2s	3823×	body	640	valid
1.8s	1865×	body	320	valid
649.0ms	4389×	body	80	valid
327.0ms	972×	body	160	valid