Details

sample380.0ms

Algorithm

intervals

Results

134.0ms	21×	body	2560	valid
79.0ms	64×	body	1280	valid
43.0ms	1×	body	10240	exit
18.0ms	147×	body	80	valid
14.0ms	23×	body	640	valid
6.0ms	13×	body	320	valid
2.0ms	8×	body	160	valid

simplify207.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	10	14
1	19	14
2	41	14
3	82	14
4	122	14
5	147	14
6	156	14
7	158	14
done	158	14

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(* PI l)
0.4b	(/ 1.0 (* F F))
4.9b	(* (/ 1.0 (* F F)) (tan (* PI l)))
30.3b	(tan (* PI l))

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-exp-log` `add-cbrt-cube`
17×	`add-sqr-sqrt`
11×	`add-cube-cbrt` `*-un-lft-identity`
10×	`associate-l`
8×	`pow1`
7×	`times-frac`
6×	`associate-r` `prod-exp` `cbrt-unprod`
4×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `log1p-expm1-u` `add-log-exp`
3×	`tan-quot` `associate-/l*` `unswap-sqr`
2×	`pow-prod-down` `*-commutative` `div-inv`
1×	`frac-times` `frac-2neg` `associate-r/` `associate-l/` `clear-num` `associate-/r*`

Counts

4 → 85

Calls

4 calls:

7.0ms	(* PI l)
8.0ms	(/ 1.0 (* F F))
66.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
9.0ms	(tan (* PI l))

series408.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(* PI l)
49.0ms	(/ 1.0 (* F F))
225.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
102.0ms	(tan (* PI l))

simplify3.2s

Counts

97 → 97

Iterations

Useful iterations: 2 (259.0ms)

Iter	Nodes	Cost
0	143	924
1	316	903
2	1013	771
3	4042	771
done	5000	771

prune308.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 10.9b

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b	(* PI l)
0.2b	(* (/ (* (cbrt 1.0) (cbrt 1.0)) F) (* (/ (cbrt 1.0) F) (tan (* PI l))))
0.3b	(* (/ (cbrt 1.0) F) (tan (* PI l)))
30.3b	(tan (* PI l))

rewrite209.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-exp-log`
37×	`add-cbrt-cube`
32×	`add-sqr-sqrt` `associate-l`
23×	`times-frac`
22×	`add-cube-cbrt` `*-un-lft-identity`
21×	`prod-exp` `cbrt-unprod`
13×	`pow1`
10×	`cbrt-undiv` `cbrt-prod` `div-exp`
7×	`tan-quot` `associate-r`
6×	`frac-times` `associate-*r/`
5×	`pow-prod-down`
4×	`expm1-log1p-u` `associate-*l/` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`*-commutative`
2×	`div-inv`

Counts

4 → 121

Calls

4 calls:

7.0ms	(* PI l)
153.0ms	(* (/ (* (cbrt 1.0) (cbrt 1.0)) F) (* (/ (cbrt 1.0) F) (tan (* PI l))))
37.0ms	(* (/ (cbrt 1.0) F) (tan (* PI l)))
8.0ms	(tan (* PI l))

series652.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* PI l)
275.0ms	(* (/ (* (cbrt 1.0) (cbrt 1.0)) F) (* (/ (cbrt 1.0) F) (tan (* PI l))))
269.0ms	(* (/ (cbrt 1.0) F) (tan (* PI l)))
75.0ms	(tan (* PI l))

simplify2.2s

Counts

133 → 133

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	209	1976
1	539	1933
2	1954	1455
done	5000	1307

prune632.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 10.9b

localize32.0ms

Local error

Found 4 expressions with local error:

0.2b	(* PI l)
0.2b	(* (/ (* (cbrt 1.0) (cbrt 1.0)) F) (* 1 (/ (* (cbrt 1.0) (tan (* PI l))) F)))
0.2b	(/ (* (cbrt 1.0) (tan (* PI l))) F)
30.3b	(tan (* PI l))

rewrite167.0ms

Algorithm

rewrite-expression-head

Rules

101×	`add-exp-log`
54×	`prod-exp`
53×	`add-cbrt-cube`
30×	`cbrt-unprod`
28×	`div-exp`
16×	`cbrt-undiv`
12×	`add-sqr-sqrt`
11×	`pow1`
10×	`add-cube-cbrt` `-un-lft-identity` `associate-l*`
9×	`1-exp`
6×	`times-frac`
4×	`expm1-log1p-u` `associate-r/` `associate-r*` `pow-prod-down` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r*`
2×	`tan-quot` `*-commutative` `div-inv`
1×	`frac-times` `frac-2neg` `associate-l/` `clear-num` `associate-/l/` `associate-/l` `unswap-sqr`

Counts

4 → 110

Calls

4 calls:

15.0ms	(* PI l)
88.0ms	(* (/ (* (cbrt 1.0) (cbrt 1.0)) F) (* 1 (/ (* (cbrt 1.0) (tan (* PI l))) F)))
37.0ms	(/ (* (cbrt 1.0) (tan (* PI l))) F)
17.0ms	(tan (* PI l))

series619.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* PI l)
257.0ms	(* (/ (* (cbrt 1.0) (cbrt 1.0)) F) (* 1 (/ (* (cbrt 1.0) (tan (* PI l))) F)))
247.0ms	(/ (* (cbrt 1.0) (tan (* PI l))) F)
87.0ms	(tan (* PI l))

simplify2.1s

Counts

122 → 122

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	217	2219
1	533	1977
2	1996	1367
done	5001	1185

prune484.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 10.9b

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b	(* PI l)
0.2b	(* PI l)
0.2b	(/ (* (cbrt 1.0) (tan (* PI l))) F)
30.3b	(tan (* PI l))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
13×	`add-exp-log`
12×	`add-cbrt-cube`
10×	`add-cube-cbrt` `*-un-lft-identity`
8×	`pow1`
6×	`associate-r` `associate-l`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`times-frac` `prod-exp` `associate-/r*` `cbrt-unprod`
2×	`tan-quot` `cbrt-undiv` `div-exp` `pow-prod-down` `*-commutative` `unswap-sqr`
1×	`frac-2neg` `associate-r/` `clear-num` `div-inv` `associate-/l/` `associate-/l`

Counts

4 → 74

Calls

4 calls:

11.0ms	(* PI l)
7.0ms	(* PI l)
34.0ms	(/ (* (cbrt 1.0) (tan (* PI l))) F)
16.0ms	(tan (* PI l))

series383.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* PI l)
22.0ms	(* PI l)
230.0ms	(/ (* (cbrt 1.0) (tan (* PI l))) F)
106.0ms	(tan (* PI l))

simplify3.1s

Counts

86 → 86

Iterations

Useful iterations: done (3.1s)

Iter	Nodes	Cost
0	117	694
1	264	669
2	818	595
3	3526	595
done	5000	591

prune377.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 10.8b

regimes630.0ms

Accuracy

0% (0.4b remaining)

Error of 12.9b against oracle of 12.5b and baseline of 12.9b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	40
1	20	40
done	20	40

end0.0ms

sample10.1s

Algorithm

intervals

Results

4.3s	830×	body	2560	valid
2.9s	1701×	body	1280	valid
1.2s	4480×	body	80	valid
883.0ms	975×	body	640	valid
185.0ms	7×	body	10240	exit
168.0ms	370×	body	320	valid
68.0ms	218×	body	160	valid