Details

sample361.0ms

Algorithm

intervals

Results

156.0ms	106×	body	640	valid
98.0ms	98×	body	1280	valid
31.0ms	256×	body	80	valid
15.0ms	54×	body	320	valid
13.0ms	27×	body	160	valid

simplify5.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
7	1905
6	631
5	245
4	128
3	65
2	30
1	15
0	6

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 3 expressions with local error:

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

rewrite56.0ms

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×	`expm1-log1p-u` `associate-l` `associate-/r` `log1p-expm1-u` `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 → 74

Calls

3 calls:

14.0ms	(/ (sinh y) y)
3.0ms	(sinh y)
34.0ms	(* (cos x) (/ (sinh y) y))

series793.0ms

Counts

3 → 9

Calls

3 calls:

447.0ms	(/ (sinh y) y)
157.0ms	(sinh y)
189.0ms	(* (cos x) (/ (sinh y) y))

simplify7.1s

Counts

83 → 83

Iterations

Iter	Nodes
done	5004
3	4013
2	1087
1	349
0	144

prune1.3s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize233.0ms

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))

rewrite223.0ms

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×	`expm1-log1p-u` `log1p-expm1-u` `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 → 73

Calls

3 calls:

3.0ms	(sinh y)
48.0ms	(* (cos x) (sinh y))
159.0ms	(* (* (cos x) (sinh y)) (/ 1 y))

series882.0ms

Counts

3 → 9

Calls

3 calls:

302.0ms	(sinh y)
244.0ms	(* (cos x) (sinh y))
335.0ms	(* (* (cos x) (sinh y)) (/ 1 y))

simplify13.3s

Counts

82 → 82

Iterations

Iter	Nodes
done	5004
3	4291
2	1237
1	415
0	156

prune746.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize63.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (pow y 5) 1/120 (fma (* 1/6 y) (* y y) y))
0.1b	(* (cos x) (fma (pow y 5) 1/120 (fma (* 1/6 y) (* y y) y)))
0.2b	(* (* (cos x) (fma (pow y 5) 1/120 (fma (* 1/6 y) (* y y) y))) (/ 1 y))
0.4b	(* 1/6 y)

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-exp-log`
20×	`add-cbrt-cube`
19×	`add-sqr-sqrt` `associate-r`
15×	`add-cube-cbrt` `*-un-lft-identity`
14×	`prod-exp`
13×	`pow1`
9×	`times-frac`
8×	`cbrt-unprod`
7×	`associate-l`
5×	`pow-prod-down`
4×	`expm1-log1p-u` `div-exp` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative` `fma-udef`
2×	`cbrt-undiv` `rec-exp` `1-exp` `unswap-sqr`
1×	`distribute-rgt-in` `distribute-lft-in` `associate-*r/` `un-div-inv` `div-inv`

Counts

4 → 92

Calls

4 calls:

1.0ms	(fma (pow y 5) 1/120 (fma (* 1/6 y) (* y y) y))
17.0ms	(* (cos x) (fma (pow y 5) 1/120 (fma (* 1/6 y) (* y y) y)))
52.0ms	(* (* (cos x) (fma (pow y 5) 1/120 (fma (* 1/6 y) (* y y) y))) (/ 1 y))
18.0ms	(* 1/6 y)

series1.8s

Counts

4 → 12

Calls

4 calls:

107.0ms	(fma (pow y 5) 1/120 (fma (* 1/6 y) (* y y) y))
848.0ms	(* (cos x) (fma (pow y 5) 1/120 (fma (* 1/6 y) (* y y) y)))
762.0ms	(* (* (cos x) (fma (pow y 5) 1/120 (fma (* 1/6 y) (* y y) y))) (/ 1 y))
33.0ms	(* 1/6 y)

simplify8.2s

Counts

104 → 104

Iterations

Iter	Nodes
done	5000
2	1345
1	456
0	172

prune2.1s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize54.0ms

Local error

Found 4 expressions with local error:

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

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
21×	`add-cube-cbrt` `*-un-lft-identity`
19×	`times-frac`
13×	`associate-l`
11×	`add-exp-log` `add-cbrt-cube`
7×	`pow1` `add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`log-prod` `associate-r` `associate-/r` `log-pow` `associate-/l`
2×	`cbrt-undiv` `exp-prod` `exp-to-pow` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`sinh-def` `frac-2neg` `rem-log-exp` `pow-prod-down` `associate-l/` `clear-num` `-commutative` `rem-exp-log` `associate-/l/`

Counts

4 → 92

Calls

4 calls:

14.0ms	(/ (sinh y) y)
31.0ms	(* (/ (sinh y) y) (cos x))
9.0ms	(exp (* (/ (sinh y) y) (cos x)))
7.0ms	(log (exp (* (/ (sinh y) y) (cos x))))

series1.4s

Counts

4 → 12

Calls

4 calls:

237.0ms	(/ (sinh y) y)
476.0ms	(* (/ (sinh y) y) (cos x))
406.0ms	(exp (* (/ (sinh y) y) (cos x)))
216.0ms	(log (exp (* (/ (sinh y) y) (cos x))))

simplify5.1s

Counts

104 → 104

Iterations

Iter	Nodes
done	5002
2	1611
1	494
0	200

prune1.4s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes543.0ms

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

sample20.5s

Algorithm

intervals

Results

7.9s	2961×	body	1280	valid
5.1s	2490×	body	640	valid
3.8s	1194×	body	320	valid
2.5s	8532×	body	80	valid
246.0ms	604×	body	160	valid