Details

sample225.0ms

Algorithm

intervals

Results

113.0ms	146×	body	1280	valid
52.0ms	141×	body	640	valid
15.0ms	59×	body	320	valid
13.0ms	163×	body	80	valid
5.0ms	32×	body	160	valid

simplify4.4s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	18	11
2	39	11
3	89	11
4	150	11
5	254	11
6	332	11
7	474	11
8	777	11
9	969	11
10	1005	11
11	1044	11
done	1044	11

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 43.9b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
5.7b	(- (exp (- im)) (exp im))

rewrite123.0ms

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-exp-log` `add-cbrt-cube`
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/` `flip--` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
1×	`diff-log` `associate-l` `*-commutative`

Counts

2 → 74

Calls

2 calls:

92.0ms	(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
25.0ms	(- (exp (- im)) (exp im))

series161.0ms

Counts

2 → 6

Calls

2 calls:

118.0ms	(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
43.0ms	(- (exp (- im)) (exp im))

simplify5.1s

Counts

80 → 80

Iterations

Useful iterations: 3 (2.7s)

Iter	Nodes	Cost
0	145	1741
1	351	1397
2	1109	1099
3	4946	907
done	5000	907

prune223.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 2 expressions with local error:

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

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-exp-log`
11×	`add-sqr-sqrt`
9×	`add-cbrt-cube`
8×	`associate-l`
7×	`pow1`
6×	`add-cube-cbrt` `-un-lft-identity` `associate-r*` `prod-exp`
4×	`unpow-prod-down` `cbrt-unprod`
3×	`pow-prod-down` `unswap-sqr`
2×	`expm1-log1p-u` `*-commutative` `fma-udef` `log1p-expm1-u` `add-log-exp` `sqr-pow`
1×	`distribute-rgt-in` `pow-to-exp` `distribute-lft-in` `pow-exp`

Counts

2 → 49

Calls

2 calls:

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

series314.0ms

Counts

2 → 6

Calls

2 calls:

73.0ms	(* (pow im 5) -1/60)
241.0ms	(* (* 0.5 (sin re)) (fma -1/3 (pow im 3) (fma im -2 (* (pow im 5) -1/60))))

simplify3.8s

Counts

55 → 55

Iterations

Useful iterations: done (3.8s)

Iter	Nodes	Cost
0	115	823
1	268	789
2	943	675
3	4207	671
done	5000	669

prune284.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize35.0ms

Local error

Found 4 expressions with local error:

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

rewrite107.0ms

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×	`expm1-log1p-u` `pow-to-exp` `cube-prod` `pow-exp` `*-commutative` `log1p-expm1-u` `add-log-exp` `sqr-pow`
2×	`fma-udef`
1×	`distribute-rgt-in` `cube-mult` `distribute-lft-in` `unpow3`

Counts

4 → 108

Calls

4 calls:

17.0ms	(* (pow im 5) -1/60)
42.0ms	(* (* 0.5 (sin re)) (* -1/3 (pow im 3)))
21.0ms	(* (* 0.5 (sin re)) (fma im -2 (* (pow im 5) -1/60)))
23.0ms	(* -1/3 (pow im 3))

series641.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(* (pow im 5) -1/60)
145.0ms	(* (* 0.5 (sin re)) (* -1/3 (pow im 3)))
370.0ms	(* (* 0.5 (sin re)) (fma im -2 (* (pow im 5) -1/60)))
45.0ms	(* -1/3 (pow im 3))

simplify1.5s

Counts

120 → 120

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	189	1373
1	460	1250
2	1748	1086
done	5000	1082

prune539.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize32.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (* 0.5 (sin re)) (fma im -2 (* (pow im 5) -1/60)))) (cbrt (* (* 0.5 (sin re)) (fma im -2 (* (pow im 5) -1/60)))))
14.3b	(cbrt (* (* 0.5 (sin re)) (fma im -2 (* (pow im 5) -1/60))))
14.3b	(cbrt (* (* 0.5 (sin re)) (fma im -2 (* (pow im 5) -1/60))))
14.3b	(cbrt (* (* 0.5 (sin re)) (fma im -2 (* (pow im 5) -1/60))))

rewrite157.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`expm1-log1p-u` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `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 → 66

Calls

4 calls:

75.0ms	(* (cbrt (* (* 0.5 (sin re)) (fma im -2 (* (pow im 5) -1/60)))) (cbrt (* (* 0.5 (sin re)) (fma im -2 (* (pow im 5) -1/60)))))
40.0ms	(cbrt (* (* 0.5 (sin re)) (fma im -2 (* (pow im 5) -1/60))))
24.0ms	(cbrt (* (* 0.5 (sin re)) (fma im -2 (* (pow im 5) -1/60))))
16.0ms	(cbrt (* (* 0.5 (sin re)) (fma im -2 (* (pow im 5) -1/60))))

series1.4s

Counts

4 → 12

Calls

4 calls:

384.0ms	(* (cbrt (* (* 0.5 (sin re)) (fma im -2 (* (pow im 5) -1/60)))) (cbrt (* (* 0.5 (sin re)) (fma im -2 (* (pow im 5) -1/60)))))
328.0ms	(cbrt (* (* 0.5 (sin re)) (fma im -2 (* (pow im 5) -1/60))))
342.0ms	(cbrt (* (* 0.5 (sin re)) (fma im -2 (* (pow im 5) -1/60))))
340.0ms	(cbrt (* (* 0.5 (sin re)) (fma im -2 (* (pow im 5) -1/60))))

simplify1.5s

Counts

78 → 78

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	119	1880
1	261	1735
2	735	1529
3	2615	1265
done	5001	1221

prune491.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes310.0ms

Accuracy

0% (0.6b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	24
1	24	24
done	24	24

end0.0ms

sample9.3s

Algorithm

intervals

Results

4.9s	4689×	body	1280	valid
2.4s	3755×	body	640	valid
648.0ms	1934×	body	320	valid
548.0ms	4494×	body	80	valid
219.0ms	938×	body	160	valid