Details

sample125.0ms

Algorithm

intervals

Results

60.0ms	144×	body	1280	valid
28.0ms	115×	body	640	valid
10.0ms	66×	body	320	valid
8.0ms	158×	body	80	valid
4.0ms	39×	body	160	valid

simplify5.0s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	11
1	18	11
2	39	11
3	75	11
4	112	11
5	263	11
6	397	11
7	565	11
8	1079	11
9	1603	11
10	1639	11
11	1749	11
12	1767	11
done	1767	11

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 42.3b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
6.4b	(- (exp (- im)) (exp im))

rewrite42.0ms

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:

30.0ms	(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
11.0ms	(- (exp (- im)) (exp im))

series114.0ms

Counts

2 → 6

Calls

2 calls:

79.0ms	(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
35.0ms	(- (exp (- im)) (exp im))

simplify2.1s

Counts

46 → 46

Iterations

Useful iterations: 3 (729.0ms)

Iter	Nodes	Cost
0	93	614
1	242	596
2	882	504
3	3523	502
done	5001	502

prune320.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

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))))
0.2b	(* -1/3 (pow im 3))

rewrite51.0ms

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:

7.0ms	(- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))
5.0ms	(* 1/60 (pow im 5))
28.0ms	(* (* 0.5 (sin re)) (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))
7.0ms	(* -1/3 (pow im 3))

series324.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))
51.0ms	(* 1/60 (pow im 5))
177.0ms	(* (* 0.5 (sin re)) (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))
36.0ms	(* -1/3 (pow im 3))

simplify722.0ms

Counts

106 → 106

Iterations

Useful iterations: 2 (239.0ms)

Iter	Nodes	Cost
0	178	1587
1	455	1481
2	1558	1304
done	5000	1304

prune292.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (sin re) (pow im 3))
0.1b	(* 0.16666666666666666 (* (sin re) (pow im 3)))
0.1b	(* (sin re) (pow im 5))
0.1b	(* (sin re) im)

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
26×	`add-exp-log`
23×	`associate-r`
15×	`add-cbrt-cube`
14×	`add-cube-cbrt` `*-un-lft-identity` `prod-exp`
12×	`associate-l`
8×	`pow1` `unpow-prod-down` `unswap-sqr`
6×	`cbrt-unprod`
4×	`cube-prod` `*-commutative` `add-log-exp` `sqr-pow`
3×	`pow-to-exp` `pow-exp`
2×	`pow-prod-down`
1×	`cube-mult` `unpow3`

Counts

4 → 93

Calls

4 calls:

7.0ms	(* (sin re) (pow im 3))
11.0ms	(* 0.16666666666666666 (* (sin re) (pow im 3)))
6.0ms	(* (sin re) (pow im 5))
4.0ms	(* (sin re) im)

series321.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(* (sin re) (pow im 3))
90.0ms	(* 0.16666666666666666 (* (sin re) (pow im 3)))
121.0ms	(* (sin re) (pow im 5))
31.0ms	(* (sin re) im)

simplify588.0ms

Counts

105 → 105

Iterations

Useful iterations: 2 (179.0ms)

Iter	Nodes	Cost
0	142	963
1	340	883
2	1174	781
done	5000	781

prune304.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b	(* 1/60 (pow im 5))
0.1b	(* (* 0.5 (sin re)) (- (log (exp (* -1/3 (pow im 3)))) (+ (* 1/60 (pow im 5)) (* 2 im))))
0.2b	(* -1/3 (pow im 3))
2.6b	(log (exp (* -1/3 (pow im 3))))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
25×	`associate-r`
19×	`add-exp-log`
18×	`*-un-lft-identity`
15×	`add-cube-cbrt`
13×	`add-cbrt-cube`
11×	`pow1`
9×	`log-prod` `prod-exp`
8×	`unpow-prod-down`
7×	`associate-l` `unswap-sqr`
6×	`associate--l+`
5×	`distribute-rgt-in` `distribute-lft-in` `cbrt-unprod` `add-log-exp`
4×	`cube-prod` `log-pow` `sqr-pow`
3×	`pow-prod-down` `*-commutative`
2×	`pow-to-exp` `sub-neg` `associate-*r/` `pow-exp` `distribute-lft-out--`
1×	`cube-mult` `exp-prod` `flip3--` `exp-to-pow` `unpow3` `rem-log-exp` `flip--` `difference-of-squares`

Counts

4 → 103

Calls

4 calls:

5.0ms	(* 1/60 (pow im 5))
33.0ms	(* (* 0.5 (sin re)) (- (log (exp (* -1/3 (pow im 3)))) (+ (* 1/60 (pow im 5)) (* 2 im))))
7.0ms	(* -1/3 (pow im 3))
1.0ms	(log (exp (* -1/3 (pow im 3))))

series291.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(* 1/60 (pow im 5))
169.0ms	(* (* 0.5 (sin re)) (- (log (exp (* -1/3 (pow im 3)))) (+ (* 1/60 (pow im 5)) (* 2 im))))
34.0ms	(* -1/3 (pow im 3))
38.0ms	(log (exp (* -1/3 (pow im 3))))

simplify739.0ms

Counts

115 → 115

Iterations

Useful iterations: 2 (248.0ms)

Iter	Nodes	Cost
0	196	1674
1	478	1478
2	1600	1310
done	5001	1310

prune322.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

regimes332.0ms

Accuracy

0% (0.7b remaining)

Error of 0.7b against oracle of 0.1b and baseline of 0.7b

bsearch0.0ms

simplify9.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	25
1	30	25
2	41	25
3	59	25
4	69	25
done	69	25

end0.0ms

sample4.1s

Algorithm

intervals

Results

2.2s	4770×	body	1280	valid
953.0ms	3797×	body	640	valid
313.0ms	1952×	body	320	valid
225.0ms	4492×	body	80	valid
98.0ms	960×	body	160	valid