Details

sample341.0ms

Algorithm

intervals

Results

148.0ms	55×	body	1280	valid
91.0ms	75×	body	640	valid
45.0ms	170×	body	80	valid
29.0ms	28×	body	320	valid
5.0ms	9×	body	160	valid

simplify3.3s

Counts: 1 → 1

prune28.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.6b

localize37.0ms

Local error

Found 4 expressions with local error:

11.4b	(* (/ t (/ (* (/ l t) (/ l t)) (sin k))) (fma (/ k t) (/ k t) 2))
4.0b	(/ (/ 2 (tan k)) (* (/ t (/ (* (/ l t) (/ l t)) (sin k))) (fma (/ k t) (/ k t) 2)))
3.3b	(/ (* (/ l t) (/ l t)) (sin k))
2.2b	(/ t (/ (* (/ l t) (/ l t)) (sin k)))

rewrite154.0ms

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

77.0ms	(* (/ t (/ (* (/ l t) (/ l t)) (sin k))) (fma (/ k t) (/ k t) 2))
45.0ms	(/ (/ 2 (tan k)) (* (/ t (/ (* (/ l t) (/ l t)) (sin k))) (fma (/ k t) (/ k t) 2)))
14.0ms	(/ (* (/ l t) (/ l t)) (sin k))
14.0ms	(/ t (/ (* (/ l t) (/ l t)) (sin k)))

series1.4s

Counts

4 → 12

Calls

4 calls:

Slowest

845.0ms	(/ (/ 2 (tan k)) (* (/ t (/ (* (/ l t) (/ l t)) (sin k))) (fma (/ k t) (/ k t) 2)))
237.0ms	(* (/ t (/ (* (/ l t) (/ l t)) (sin k))) (fma (/ k t) (/ k t) 2))
138.0ms	(/ (* (/ l t) (/ l t)) (sin k))
131.0ms	(/ t (/ (* (/ l t) (/ l t)) (sin k)))

simplify2.3s

Counts: 239 → 239

prune3.4s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 4.6b

localize61.0ms

Local error

Found 4 expressions with local error:

7.0b	(* (/ (* (cbrt t) (cbrt t)) (/ (/ l t) 1)) (* (/ (cbrt t) (/ (/ l t) (sin k))) (fma (/ k t) (/ k t) 2)))
5.4b	(* (/ (cbrt t) (/ (/ l t) (sin k))) (fma (/ k t) (/ k t) 2))
4.0b	(/ (/ 2 (tan k)) (* (/ (* (cbrt t) (cbrt t)) (/ (/ l t) 1)) (* (/ (cbrt t) (/ (/ l t) (sin k))) (fma (/ k t) (/ k t) 2))))
2.5b	(/ (/ l t) (sin k))

rewrite320.0ms

Algorithm

rewrite-expression-head

Rules

1198×	`add-exp-log`
882×	`times-frac`
705×	`div-exp`
622×	`add-cbrt-cube`
423×	`cbrt-undiv`
420×	`add-sqr-sqrt`
394×	`*-un-lft-identity` `add-cube-cbrt`
376×	`prod-exp`
311×	`associate-l`
238×	`cbrt-unprod`
132×	`cbrt-prod`
60×	`1-exp`
38×	`div-inv`
27×	`associate-/l*`
11×	`pow1`
7×	`associate-*l/` `associate-/r/` `unswap-sqr`
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`
2×	`frac-times` `clear-num` `frac-2neg` `tan-quot` `associate-r/` `-commutative` `associate-/l/`

Counts

4 → 758

Calls

4 calls:

Slowest

110.0ms	(* (/ (* (cbrt t) (cbrt t)) (/ (/ l t) 1)) (* (/ (cbrt t) (/ (/ l t) (sin k))) (fma (/ k t) (/ k t) 2)))
88.0ms	(/ (/ 2 (tan k)) (* (/ (* (cbrt t) (cbrt t)) (/ (/ l t) 1)) (* (/ (cbrt t) (/ (/ l t) (sin k))) (fma (/ k t) (/ k t) 2))))
48.0ms	(* (/ (cbrt t) (/ (/ l t) (sin k))) (fma (/ k t) (/ k t) 2))
17.0ms	(/ (/ l t) (sin k))

series1.7s

Counts

4 → 12

Calls

4 calls:

Slowest

918.0ms	(/ (/ 2 (tan k)) (* (/ (* (cbrt t) (cbrt t)) (/ (/ l t) 1)) (* (/ (cbrt t) (/ (/ l t) (sin k))) (fma (/ k t) (/ k t) 2))))
414.0ms	(* (/ (cbrt t) (/ (/ l t) (sin k))) (fma (/ k t) (/ k t) 2))
268.0ms	(* (/ (* (cbrt t) (cbrt t)) (/ (/ l t) 1)) (* (/ (cbrt t) (/ (/ l t) (sin k))) (fma (/ k t) (/ k t) 2)))
120.0ms	(/ (/ l t) (sin k))

simplify5.1s

Counts: 770 → 770

prune14.6s

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 2.6b

localize59.0ms

Local error

Found 4 expressions with local error:

7.5b	(/ (* (/ (/ 2 (tan k)) (* (cbrt t) (cbrt t))) (/ l t)) (* (/ (cbrt t) (/ (/ l t) (sin k))) (fma (/ k t) (/ k t) 2)))
5.4b	(* (/ (cbrt t) (/ (/ l t) (sin k))) (fma (/ k t) (/ k t) 2))
2.5b	(/ (/ l t) (sin k))
1.4b	(* (/ (/ 2 (tan k)) (* (cbrt t) (cbrt t))) (/ l t))

rewrite162.0ms

Algorithm

rewrite-expression-head

Rules

783×	`times-frac`
439×	`add-exp-log`
402×	`add-sqr-sqrt`
359×	`*-un-lft-identity` `add-cube-cbrt`
355×	`add-cbrt-cube`
281×	`associate-l`
232×	`cbrt-undiv` `div-exp`
132×	`cbrt-prod` `prod-exp` `cbrt-unprod`
34×	`div-inv`
16×	`associate-r`
14×	`associate-/l*`
13×	`unswap-sqr`
8×	`pow1`
4×	`expm1-log1p-u` `associate-/r` `associate-l/` `insert-posit16` `log1p-expm1-u` `add-log-exp` `associate-/l/`
3×	`associate-/r/`
2×	`frac-times` `clear-num` `frac-2neg` `pow-prod-down` `associate-r/` `-commutative` `fma-udef`
1×	`distribute-rgt-in` `distribute-lft-in` `tan-quot`

Counts

4 → 571

Calls

4 calls:

Slowest

56.0ms	(* (/ (/ 2 (tan k)) (* (cbrt t) (cbrt t))) (/ l t))
44.0ms	(/ (* (/ (/ 2 (tan k)) (* (cbrt t) (cbrt t))) (/ l t)) (* (/ (cbrt t) (/ (/ l t) (sin k))) (fma (/ k t) (/ k t) 2)))
37.0ms	(* (/ (cbrt t) (/ (/ l t) (sin k))) (fma (/ k t) (/ k t) 2))
8.0ms	(/ (/ l t) (sin k))

series2.4s

Counts

4 → 12

Calls

4 calls:

Slowest

1.3s	(/ (* (/ (/ 2 (tan k)) (* (cbrt t) (cbrt t))) (/ l t)) (* (/ (cbrt t) (/ (/ l t) (sin k))) (fma (/ k t) (/ k t) 2)))
471.0ms	(* (/ (/ 2 (tan k)) (* (cbrt t) (cbrt t))) (/ l t))
469.0ms	(* (/ (cbrt t) (/ (/ l t) (sin k))) (fma (/ k t) (/ k t) 2))
115.0ms	(/ (/ l t) (sin k))

simplify2.0s

Counts: 583 → 583

prune10.9s

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 2.5b

localize79.0ms

Local error

Found 4 expressions with local error:

7.5b	(/ (/ (* (/ 2 (tan k)) (/ l t)) (* (cbrt t) (cbrt t))) (* (/ (cbrt t) (/ (/ l t) (sin k))) (fma (/ k t) (/ k t) 2)))
5.4b	(* (/ (cbrt t) (/ (/ l t) (sin k))) (fma (/ k t) (/ k t) 2))
2.6b	(* (/ 2 (tan k)) (/ l t))
2.5b	(/ (/ l t) (sin k))

rewrite148.0ms

Algorithm

rewrite-expression-head

Rules

770×	`times-frac`
410×	`add-exp-log`
398×	`add-sqr-sqrt`
360×	`*-un-lft-identity` `add-cube-cbrt`
324×	`add-cbrt-cube`
277×	`associate-l`
224×	`cbrt-undiv` `div-exp`
132×	`cbrt-prod`
117×	`prod-exp` `cbrt-unprod`
35×	`div-inv`
18×	`associate-/l*`
16×	`associate-r`
11×	`unswap-sqr`
8×	`pow1`
4×	`expm1-log1p-u` `associate-/r*` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-*l/` `associate-/r/`
2×	`clear-num` `frac-2neg` `pow-prod-down` `*-commutative` `fma-udef` `associate-/l/`
1×	`distribute-rgt-in` `frac-times` `distribute-lft-in` `tan-quot` `associate-*r/`

Counts

4 → 559

Calls

4 calls:

Slowest

44.0ms	(* (/ (cbrt t) (/ (/ l t) (sin k))) (fma (/ k t) (/ k t) 2))
36.0ms	(/ (/ (* (/ 2 (tan k)) (/ l t)) (* (cbrt t) (cbrt t))) (* (/ (cbrt t) (/ (/ l t) (sin k))) (fma (/ k t) (/ k t) 2)))
34.0ms	(* (/ 2 (tan k)) (/ l t))
14.0ms	(/ (/ l t) (sin k))

series1.2s

Counts

4 → 12

Calls

4 calls:

Slowest

481.0ms	(* (/ (cbrt t) (/ (/ l t) (sin k))) (fma (/ k t) (/ k t) 2))
405.0ms	(/ (/ (* (/ 2 (tan k)) (/ l t)) (* (cbrt t) (cbrt t))) (* (/ (cbrt t) (/ (/ l t) (sin k))) (fma (/ k t) (/ k t) 2)))
186.0ms	(* (/ 2 (tan k)) (/ l t))
104.0ms	(/ (/ l t) (sin k))

simplify1.5s

Counts: 571 → 571

prune9.5s

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 2.5b

regimes1.3s

Accuracy

58.2% (2.6b remaining)

Error of 7.8b against oracle of 5.2b and baseline of 11.4b

bsearch790.0ms

end0.0ms

sample14.3s

Algorithm

intervals

Results

6.1s	2079×	body	1280	valid
3.2s	5953×	body	80	valid
3.2s	1729×	body	640	valid
1.1s	823×	body	320	valid
397.0ms	454×	body	160	valid