Details

sample166.0ms

Algorithm

intervals

Results

59.0ms	98×	body	1280	valid
39.0ms	106×	body	640	valid
21.0ms	256×	body	80	valid
13.0ms	54×	body	320	valid
4.0ms	27×	body	160	valid

simplify8.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
7	1796
6	607
5	236
4	126
3	65
2	30
1	15
0	6

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (sinh y) y)
0.0b	(sinh y)
0.0b	(* (cos x) (/ (sinh y) y))

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
19×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
13×	`associate-r`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1`
3×	`associate-l` `associate-/r` `associate-/l` `add-log-exp`
2×	`cbrt-undiv` `sinh-def` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `associate-/l/`

Counts

3 → 68

Calls

3 calls:

28.0ms	(/ (sinh y) y)
3.0ms	(sinh y)
56.0ms	(* (cos x) (/ (sinh y) y))

series573.0ms

Counts

3 → 9

Calls

3 calls:

167.0ms	(/ (sinh y) y)
146.0ms	(sinh y)
254.0ms	(* (cos x) (/ (sinh y) y))

simplify9.5s

Counts

77 → 77

Iterations

Iter	Nodes
done	5006
3	3895
2	1041
1	334
0	138

prune659.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize63.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (cos x) (sinh y))
0.2b	(* (* (cos x) (sinh y)) (/ 1 y))

rewrite148.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-exp-log`
17×	`add-cbrt-cube`
16×	`associate-r`
14×	`add-sqr-sqrt`
13×	`prod-exp`
12×	`add-cube-cbrt` `*-un-lft-identity`
10×	`pow1`
9×	`times-frac`
7×	`cbrt-unprod`
4×	`sinh-def` `associate-r/` `div-exp` `associate-l*` `pow-prod-down`
3×	`add-log-exp`
2×	`cbrt-undiv` `rec-exp` `1-exp` `*-commutative`
1×	`frac-times` `associate-*l/` `un-div-inv` `div-inv` `unswap-sqr`

Counts

3 → 67

Calls

3 calls:

3.0ms	(sinh y)
23.0ms	(* (cos x) (sinh y))
105.0ms	(* (* (cos x) (sinh y)) (/ 1 y))

series1.0s

Counts

3 → 9

Calls

3 calls:

170.0ms	(sinh y)
511.0ms	(* (cos x) (sinh y))
355.0ms	(* (* (cos x) (sinh y)) (/ 1 y))

simplify7.6s

Counts

76 → 76

Iterations

Iter	Nodes
done	5000
3	3900
2	1145
1	404
0	150

prune494.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize77.0ms

Local error

Found 4 expressions with local error:

0.1b	(* y (* y y))
0.1b	(* (cos x) (+ (+ (* 1/120 (pow y 5)) y) (* (* y (* y y)) 1/6)))
0.2b	(* (* y (* y y)) 1/6)
0.2b	(* (* (cos x) (+ (+ (* 1/120 (pow y 5)) y) (* (* y (* y y)) 1/6))) (/ 1 y))

rewrite890.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-exp-log`
34×	`pow1`
32×	`add-cbrt-cube`
22×	`prod-exp`
20×	`associate-r`
18×	`add-sqr-sqrt`
16×	`cbrt-unprod`
15×	`add-cube-cbrt` `*-un-lft-identity`
13×	`pow-prod-down`
9×	`times-frac`
8×	`associate-l`
7×	`associate-*r/`
5×	`pow-prod-up`
4×	`div-exp` `*-commutative` `add-log-exp`
3×	`flip3-+` `flip-+`
2×	`cbrt-undiv` `frac-times` `rec-exp` `1-exp` `associate-*l/` `unswap-sqr`
1×	`pow2` `distribute-rgt-in` `distribute-lft-in` `pow-plus` `cube-unmult` `pow-sqr` `un-div-inv` `div-inv`

Counts

4 → 109

Calls

4 calls:

34.0ms	(* y (* y y))
390.0ms	(* (cos x) (+ (+ (* 1/120 (pow y 5)) y) (* (* y (* y y)) 1/6)))
98.0ms	(* (* y (* y y)) 1/6)
360.0ms	(* (* (cos x) (+ (+ (* 1/120 (pow y 5)) y) (* (* y (* y y)) 1/6))) (/ 1 y))

series1.1s

Counts

4 → 12

Calls

4 calls:

62.0ms	(* y (* y y))
354.0ms	(* (cos x) (+ (+ (* 1/120 (pow y 5)) y) (* (* y (* y y)) 1/6)))
72.0ms	(* (* y (* y y)) 1/6)
649.0ms	(* (* (cos x) (+ (+ (* 1/120 (pow y 5)) y) (* (* y (* y y)) 1/6))) (/ 1 y))

simplify5.4s

Counts

121 → 121

Iterations

Iter	Nodes
done	5003
2	2135
1	599
0	204

prune1.2s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize78.0ms

Local error

Found 4 expressions with local error:

0.0b	(sinh y)
0.0b	(* (cos x) (/ (sinh y) y))
0.1b	(exp (* (cos x) (/ (sinh y) y)))
0.4b	(log (exp (* (cos x) (/ (sinh y) y))))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
13×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
10×	`times-frac`
9×	`add-exp-log` `add-cbrt-cube`
7×	`pow1` `add-log-exp`
3×	`log-prod` `associate-l` `log-pow`
2×	`exp-prod` `exp-to-pow` `prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `sinh-def` `associate-r/` `div-exp` `rem-log-exp` `pow-prod-down` `-commutative` `div-inv` `rem-exp-log`

Counts

4 → 64

Calls

4 calls:

3.0ms	(sinh y)
38.0ms	(* (cos x) (/ (sinh y) y))
19.0ms	(exp (* (cos x) (/ (sinh y) y)))
8.0ms	(log (exp (* (cos x) (/ (sinh y) y))))

series1.5s

Counts

4 → 12

Calls

4 calls:

402.0ms	(sinh y)
399.0ms	(* (cos x) (/ (sinh y) y))
392.0ms	(exp (* (cos x) (/ (sinh y) y)))
286.0ms	(log (exp (* (cos x) (/ (sinh y) y))))

simplify6.5s

Counts

76 → 76

Iterations

Iter	Nodes
done	5002
2	1548
1	451
0	176

prune1.6s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes461.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	7
1	7
0	6

end0.0ms

sample15.4s

Algorithm

intervals

Results

6.8s	2961×	body	1280	valid
3.6s	2490×	body	640	valid
2.1s	8532×	body	80	valid
2.0s	1194×	body	320	valid
223.0ms	604×	body	160	valid