Details

sample592.0ms

Algorithm

intervals

Results

134.0ms	21×	body	2560	valid
93.0ms	64×	body	1280	valid
30.0ms	1×	body	10240	exit
23.0ms	147×	body	80	valid
17.0ms	23×	body	640	valid
7.0ms	13×	body	320	valid
3.0ms	8×	body	160	valid

simplify990.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	10	14
1	18	14
2	39	14
3	76	14
4	114	14
5	136	14
6	142	14
done	142	14

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.0b

localize14.0ms

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))

rewrite85.0ms

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` `div-exp` `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 → 77

Calls

4 calls:

7.0ms	(* PI l)
8.0ms	(/ 1.0 (* F F))
47.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
16.0ms	(tan (* PI l))

series443.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* PI l)
37.0ms	(/ 1.0 (* F F))
252.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
121.0ms	(tan (* PI l))

simplify3.3s

Counts

89 → 89

Iterations

Useful iterations: 2 (241.0ms)

Iter	Nodes	Cost
0	135	872
1	305	854
2	1001	722
3	3970	722
done	5001	722

prune302.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 10.9b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite285.0ms

Algorithm

rewrite-expression-head

Rules

47×	`associate-l`
43×	`add-sqr-sqrt`
38×	`times-frac`
33×	`add-cube-cbrt` `*-un-lft-identity`
32×	`add-exp-log` `add-cbrt-cube`
19×	`sqrt-prod`
13×	`pow1` `prod-exp` `cbrt-unprod`
7×	`tan-quot` `associate-r`
6×	`cbrt-undiv` `frac-times` `associate-*r/` `div-exp`
5×	`pow-prod-down`
4×	`associate-*l/` `add-log-exp` `unswap-sqr`
3×	`*-commutative`
2×	`div-inv`

Counts

4 → 122

Calls

4 calls:

14.0ms	(* PI l)
165.0ms	(* (/ (sqrt 1.0) F) (* (/ (sqrt 1.0) F) (tan (* PI l))))
87.0ms	(* (/ (sqrt 1.0) F) (tan (* PI l)))
10.0ms	(tan (* PI l))

series663.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* PI l)
308.0ms	(* (/ (sqrt 1.0) F) (* (/ (sqrt 1.0) F) (tan (* PI l))))
231.0ms	(* (/ (sqrt 1.0) F) (tan (* PI l)))
83.0ms	(tan (* PI l))

simplify2.1s

Counts

134 → 134

Iterations

Useful iterations: 2 (499.0ms)

Iter	Nodes	Cost
0	188	1852
1	497	1773
2	1820	1389
done	5000	1389

prune549.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 10.9b

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
13×	`add-exp-log` `add-cbrt-cube`
10×	`add-cube-cbrt` `*-un-lft-identity`
8×	`pow1`
6×	`associate-r` `associate-l`
4×	`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 → 66

Calls

4 calls:

12.0ms	(* PI l)
7.0ms	(* PI l)
23.0ms	(/ (* 1.0 (tan (* PI l))) F)
18.0ms	(tan (* PI l))

series332.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* PI l)
40.0ms	(* PI l)
169.0ms	(/ (* 1.0 (tan (* PI l))) F)
83.0ms	(tan (* PI l))

simplify2.6s

Counts

78 → 78

Iterations

Useful iterations: 2 (201.0ms)

Iter	Nodes	Cost
0	112	620
1	248	599
2	762	523
3	3009	523
done	5000	523

prune282.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 10.8b

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (/ (sqrt 1.0) F))
0.5b	(cbrt (/ (sqrt 1.0) F))
0.5b	(cbrt (/ (sqrt 1.0) F))
30.3b	(tan (* PI l))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

66×	`cbrt-prod`
54×	`times-frac`
43×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
27×	`sqrt-prod`
4×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`cbrt-div` `pow1/3` `div-inv`
1×	`tan-quot`

Counts

4 → 101

Calls

4 calls:

3.0ms	(cbrt (/ (sqrt 1.0) F))
3.0ms	(cbrt (/ (sqrt 1.0) F))
4.0ms	(cbrt (/ (sqrt 1.0) F))
8.0ms	(tan (* PI l))

series1.5s

Counts

4 → 12

Calls

4 calls:

383.0ms	(cbrt (/ (sqrt 1.0) F))
523.0ms	(cbrt (/ (sqrt 1.0) F))
476.0ms	(cbrt (/ (sqrt 1.0) F))
84.0ms	(tan (* PI l))

simplify2.4s

Counts

113 → 113

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	125	1320
1	202	1233
2	372	1195
3	873	1177
4	2684	1147
done	5000	1103

prune535.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 10.8b

regimes605.0ms

Accuracy

0% (0.4b remaining)

Error of 12.9b against oracle of 12.4b and baseline of 12.9b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	31
1	18	31
done	18	31

end0.0ms

sample9.7s

Algorithm

intervals

Results

3.9s	830×	body	2560	valid
2.9s	1701×	body	1280	valid
1.3s	4480×	body	80	valid
758.0ms	975×	body	640	valid
223.0ms	7×	body	10240	exit
219.0ms	370×	body	320	valid
60.0ms	218×	body	160	valid