Details

sample283.0ms

Algorithm

intervals

Results

117.0ms	158×	body	1280	valid
54.0ms	44×	body	160	valid
54.0ms	130×	body	640	valid
15.0ms	52×	body	320	valid
13.0ms	143×	body	80	valid

simplify3.9s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	18	11
2	39	11
3	85	11
4	130	11
5	230	11
6	282	11
7	400	11
8	693	11
9	878	11
10	914	11
11	955	11
done	955	11

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 43.7b

localize25.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
8.1b	(- (exp (- im)) (exp im))

rewrite138.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 40

Calls

2 calls:

84.0ms	(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
52.0ms	(- (exp (- im)) (exp im))

series193.0ms

Counts

2 → 6

Calls

2 calls:

127.0ms	(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
66.0ms	(- (exp (- im)) (exp im))

simplify3.3s

Counts

46 → 46

Iterations

Useful iterations: 3 (1.4s)

Iter	Nodes	Cost
0	93	614
1	237	596
2	862	504
3	3315	502
done	5001	502

prune207.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize42.0ms

Local error

Found 4 expressions with local error:

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

rewrite209.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
22×	`associate-r`
19×	`add-exp-log`
13×	`add-cbrt-cube`
12×	`add-cube-cbrt` `*-un-lft-identity`
9×	`pow1` `prod-exp` `add-log-exp`
8×	`unpow-prod-down`
7×	`associate-l` `unswap-sqr`
5×	`cbrt-unprod`
4×	`cube-prod` `sqr-pow`
3×	`sub-neg` `pow-prod-down` `*-commutative`
2×	`distribute-rgt-in` `pow-to-exp` `flip3--` `distribute-lft-in` `diff-log` `associate-*r/` `pow-exp` `flip--`
1×	`cube-mult` `unpow3` `sum-log` `associate--r+`

Counts

4 → 94

Calls

4 calls:

37.0ms	(- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))
24.0ms	(* 1/60 (pow im 5))
125.0ms	(* (* 0.5 (sin re)) (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))
15.0ms	(* -1/3 (pow im 3))

series490.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))
81.0ms	(* 1/60 (pow im 5))
254.0ms	(* (* 0.5 (sin re)) (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))
64.0ms	(* -1/3 (pow im 3))

simplify1.2s

Counts

106 → 106

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	178	1587
1	449	1481
2	1561	1304
done	5000	1298

prune517.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite170.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-exp-log`
27×	`prod-exp`
25×	`add-cbrt-cube`
24×	`add-sqr-sqrt`
19×	`associate-r`
14×	`pow1`
13×	`cbrt-unprod`
12×	`add-cube-cbrt` `-un-lft-identity` `associate-l*`
8×	`unpow-prod-down`
7×	`unswap-sqr`
6×	`pow-prod-down`
4×	`pow-to-exp` `cube-prod` `associate-l/` `pow-exp` `-commutative` `add-log-exp` `sqr-pow`
1×	`cube-mult` `flip3-+` `unpow3` `flip-+`

Counts

4 → 100

Calls

4 calls:

16.0ms	(* (pow im 5) -1/60)
48.0ms	(* (* -1/3 (pow im 3)) (* 0.5 (sin re)))
82.0ms	(* (* (+ (* (pow im 5) -1/60) (* -2 im)) 0.5) (sin re))
17.0ms	(* -1/3 (pow im 3))

series346.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(* (pow im 5) -1/60)
107.0ms	(* (* -1/3 (pow im 3)) (* 0.5 (sin re)))
114.0ms	(* (* (+ (* (pow im 5) -1/60) (* -2 im)) 0.5) (sin re))
73.0ms	(* -1/3 (pow im 3))

simplify1.4s

Counts

112 → 112

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	180	1296
1	467	1163
2	1780	1001
done	5001	997

prune543.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize36.0ms

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))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `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 → 73

Calls

4 calls:

23.0ms	(* (cbrt (sin re)) (cbrt (sin re)))
1.0ms	(cbrt (sin re))
1.0ms	(cbrt (sin re))
1.0ms	(cbrt (sin re))

series627.0ms

Counts

4 → 12

Calls

4 calls:

178.0ms	(* (cbrt (sin re)) (cbrt (sin re)))
148.0ms	(cbrt (sin re))
152.0ms	(cbrt (sin re))
149.0ms	(cbrt (sin re))

simplify3.1s

Counts

85 → 85

Iterations

Useful iterations: done (3.1s)

Iter	Nodes	Cost
0	75	710
1	156	628
2	405	534
3	1260	512
done	5001	507

prune765.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes379.0ms

Accuracy

0% (0.7b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	25
1	29	25
done	29	25

end0.0ms

sample10.3s

Algorithm

intervals

Results

4.9s	4745×	body	1280	valid
2.6s	3753×	body	640	valid
1.1s	1803×	body	320	valid
492.0ms	955×	body	160	valid
487.0ms	4465×	body	80	valid