Details

sample467.0ms

Algorithm

intervals

Results

201.0ms	72×	body	1280	valid
106.0ms	206×	body	80	valid
89.0ms	50×	body	640	valid
32.0ms	25×	body	320	valid
11.0ms	14×	body	160	valid

simplify3.2s

Counts: 1 → 1

prune34.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 19.8b

localize54.0ms

Local error

Found 4 expressions with local error:

13.4b	(* (/ t (/ (* (/ l t) (/ l t)) (sin k))) (fma (/ k t) (/ k t) 2))
3.7b	(/ (/ 2 (tan k)) (* (/ t (/ (* (/ l t) (/ l t)) (sin k))) (fma (/ k t) (/ k t) 2)))
3.7b	(/ (* (/ l t) (/ l t)) (sin k))
0.5b	(/ t (/ (* (/ l t) (/ l t)) (sin k)))

rewrite189.0ms

Algorithm

rewrite-expression-head

Rules

172×	`add-cbrt-cube` `add-exp-log`
101×	`times-frac`
93×	`cbrt-undiv` `div-exp`
59×	`add-sqr-sqrt`
51×	`*-un-lft-identity` `add-cube-cbrt`
41×	`prod-exp` `cbrt-unprod`
26×	`associate-l`
18×	`associate-/l*`
13×	`div-inv`
11×	`associate-/r*`
6×	`pow1`
5×	`associate-/r/`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp` `associate-/l/`
3×	`clear-num` `frac-2neg` `associate-r` `associate-*l/` `unswap-sqr`
2×	`tan-quot` `fma-udef`
1×	`distribute-rgt-in` `frac-times` `distribute-lft-in` `pow-prod-down` `associate-r/` `-commutative`

Counts

4 → 227

Calls

4 calls:

Slowest

78.0ms	(/ (/ 2 (tan k)) (* (/ t (/ (* (/ l t) (/ l t)) (sin k))) (fma (/ k t) (/ k t) 2)))
71.0ms	(* (/ t (/ (* (/ l t) (/ l t)) (sin k))) (fma (/ k t) (/ k t) 2))
15.0ms	(/ t (/ (* (/ l t) (/ l t)) (sin k)))
14.0ms	(/ (* (/ l t) (/ l t)) (sin k))

series1.4s

Counts

4 → 12

Calls

4 calls:

Slowest

938.0ms	(/ (/ 2 (tan k)) (* (/ t (/ (* (/ l t) (/ l t)) (sin k))) (fma (/ k t) (/ k t) 2)))
266.0ms	(* (/ t (/ (* (/ l t) (/ l t)) (sin k))) (fma (/ k t) (/ k t) 2))
124.0ms	(/ t (/ (* (/ l t) (/ l t)) (sin k)))
87.0ms	(/ (* (/ l t) (/ l t)) (sin k))

simplify1.7s

Counts: 239 → 239

prune3.5s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 7.6b

localize80.0ms

Local error

Found 4 expressions with local error:

10.1b	(* (/ t (/ (/ l t) (sin k))) (fma (/ k t) (/ k t) 2))
4.3b	(* (/ 1 (/ (/ l t) 1)) (* (/ t (/ (/ l t) (sin k))) (fma (/ k t) (/ k t) 2)))
3.9b	(/ (/ l t) (sin k))
3.7b	(/ (/ 2 (tan k)) (* (/ 1 (/ (/ l t) 1)) (* (/ t (/ (/ l t) (sin k))) (fma (/ k t) (/ k t) 2))))

rewrite249.0ms

Algorithm

rewrite-expression-head

Rules

1483×	`add-exp-log`
960×	`div-exp`
767×	`times-frac`
436×	`prod-exp`
418×	`add-cbrt-cube`
373×	`add-sqr-sqrt`
359×	`*-un-lft-identity` `add-cube-cbrt`
268×	`associate-l`
234×	`cbrt-undiv`
165×	`1-exp`
112×	`cbrt-unprod`
75×	`rec-exp`
34×	`div-inv`
27×	`associate-/l*`
11×	`pow1`
7×	`associate-*l/` `associate-/r/`
6×	`fma-udef`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`expm1-log1p-u` `associate-/r` `associate-r*` `pow-prod-down` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`frac-times` `clear-num` `frac-2neg` `tan-quot` `associate-r/` `-commutative` `associate-/l/`

Counts

4 → 742

Calls

4 calls:

Slowest

89.0ms	(/ (/ 2 (tan k)) (* (/ 1 (/ (/ l t) 1)) (* (/ t (/ (/ l t) (sin k))) (fma (/ k t) (/ k t) 2))))
70.0ms	(* (/ 1 (/ (/ l t) 1)) (* (/ t (/ (/ l t) (sin k))) (fma (/ k t) (/ k t) 2)))
21.0ms	(* (/ t (/ (/ l t) (sin k))) (fma (/ k t) (/ k t) 2))
8.0ms	(/ (/ l t) (sin k))

series999.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

363.0ms	(/ (/ 2 (tan k)) (* (/ 1 (/ (/ l t) 1)) (* (/ t (/ (/ l t) (sin k))) (fma (/ k t) (/ k t) 2))))
283.0ms	(* (/ 1 (/ (/ l t) 1)) (* (/ t (/ (/ l t) (sin k))) (fma (/ k t) (/ k t) 2)))
235.0ms	(* (/ t (/ (/ l t) (sin k))) (fma (/ k t) (/ k t) 2))
118.0ms	(/ (/ l t) (sin k))

simplify2.5s

Counts: 754 → 754

prune12.8s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 4.1b

localize74.0ms

Local error

Found 4 expressions with local error:

10.1b	(* (/ t (/ (/ l t) (sin k))) (fma (/ k t) (/ k t) 2))
4.6b	(* (/ (/ (/ 1 (cbrt (tan k))) (cbrt (tan k))) (/ 1 (/ l t))) (/ (/ 2 (cbrt (tan k))) (* (/ t (/ (/ l t) (sin k))) (fma (/ k t) (/ k t) 2))))
3.9b	(/ (/ l t) (sin k))
3.4b	(/ (/ (/ 1 (cbrt (tan k))) (cbrt (tan k))) (/ 1 (/ l t)))

rewrite2.3s

Algorithm

rewrite-expression-head

Rules

54091×	`times-frac`
21690×	`add-sqr-sqrt`
21425×	`*-un-lft-identity`
21381×	`add-cube-cbrt`
11001×	`cbrt-prod`
6431×	`associate-l`
3250×	`add-exp-log`
2325×	`div-exp`
1798×	`div-inv`
915×	`associate-/r/`
768×	`add-cbrt-cube`
688×	`prod-exp`
624×	`cbrt-div` `tan-quot`
603×	`cbrt-undiv`
204×	`rec-exp` `1-exp`
194×	`cbrt-unprod`
156×	`associate-/l*`
65×	`unswap-sqr`
47×	`associate-/r*`
31×	`associate-r`
8×	`pow1`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-*l/`
2×	`clear-num` `frac-2neg` `pow-prod-down` `*-commutative` `fma-udef` `associate-/l/`
1×	`distribute-rgt-in` `frac-times` `distribute-lft-in` `associate-*r/`

Counts

4 → 13682

Calls

4 calls:

Slowest

408.0ms	(* (/ (/ (/ 1 (cbrt (tan k))) (cbrt (tan k))) (/ 1 (/ l t))) (/ (/ 2 (cbrt (tan k))) (* (/ t (/ (/ l t) (sin k))) (fma (/ k t) (/ k t) 2))))
38.0ms	(* (/ t (/ (/ l t) (sin k))) (fma (/ k t) (/ k t) 2))
37.0ms	(/ (/ (/ 1 (cbrt (tan k))) (cbrt (tan k))) (/ 1 (/ l t)))
16.0ms	(/ (/ l t) (sin k))

series1.0s

Counts

4 → 12

Calls

4 calls:

Slowest

403.0ms	(* (/ (/ (/ 1 (cbrt (tan k))) (cbrt (tan k))) (/ 1 (/ l t))) (/ (/ 2 (cbrt (tan k))) (* (/ t (/ (/ l t) (sin k))) (fma (/ k t) (/ k t) 2))))
278.0ms	(/ (/ (/ 1 (cbrt (tan k))) (cbrt (tan k))) (/ 1 (/ l t)))
211.0ms	(* (/ t (/ (/ l t) (sin k))) (fma (/ k t) (/ k t) 2))
132.0ms	(/ (/ l t) (sin k))

simplify1.3m

Counts: 13694 → 13694

prune3.8m

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 4.1b

localize79.0ms

Local error

Found 4 expressions with local error:

13.0b	(cbrt (/ l t))
13.0b	(cbrt (/ l t))
13.0b	(cbrt (/ l t))
10.1b	(* (/ t (/ (/ l t) (sin k))) (fma (/ k t) (/ k t) 2))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

360×	`times-frac`
189×	`add-sqr-sqrt`
175×	`*-un-lft-identity` `add-cube-cbrt`
134×	`associate-l`
39×	`cbrt-prod`
18×	`add-cbrt-cube` `add-exp-log`
16×	`div-inv`
6×	`pow1` `cbrt-undiv` `div-exp`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`cbrt-div` `pow1/3` `associate-r`
2×	`fma-udef`
1×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `associate-l/` `associate-/r/` `-commutative`

Counts

4 → 239

Calls

4 calls:

Slowest

20.0ms	(* (/ t (/ (/ l t) (sin k))) (fma (/ k t) (/ k t) 2))
1.0ms	(cbrt (/ l t))
1.0ms	(cbrt (/ l t))
1.0ms	(cbrt (/ l t))

series365.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

177.0ms	(* (/ t (/ (/ l t) (sin k))) (fma (/ k t) (/ k t) 2))
64.0ms	(cbrt (/ l t))
62.0ms	(cbrt (/ l t))
61.0ms	(cbrt (/ l t))

simplify975.0ms

Counts: 251 → 251

prune4.1s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 4.1b

regimes481.0ms

Accuracy

64.6% (2.9b remaining)

Error of 7.2b against oracle of 4.3b and baseline of 12.6b

bsearch384.0ms

end0.0ms

sample10.4s

Algorithm

intervals

Results

4.4s	2082×	body	1280	valid
2.6s	1724×	body	640	valid
2.0s	5851×	body	80	valid
859.0ms	880×	body	320	valid
218.0ms	385×	body	160	valid