Details

sample156.0ms

Algorithm

intervals

Results

34.0ms	364×	body	80	valid
34.0ms	79×	body	640	valid
32.0ms	52×	body	1280	valid
14.0ms	44×	body	320	valid
4.0ms	19×	body	160	valid

simplify3.8s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	15	7
2	32	7
3	69	7
4	144	7
5	281	7
6	847	7
7	4286	7
done	5000	7

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.9b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (sin x) (sinh y))
11.9b	(/ (* (sin x) (sinh y)) x)

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 49

Calls

3 calls:

3.0ms	(sinh y)
27.0ms	(* (sin x) (sinh y))
42.0ms	(/ (* (sin x) (sinh y)) x)

series455.0ms

Counts

3 → 9

Calls

3 calls:

116.0ms	(sinh y)
161.0ms	(* (sin x) (sinh y))
178.0ms	(/ (* (sin x) (sinh y)) x)

simplify1.2s

Counts

58 → 58

Iterations

Useful iterations: 2 (340.0ms)

Iter	Nodes	Cost
0	117	538
1	293	516
2	1599	448
done	5002	448

prune427.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (sinh y) x)
0.0b	(sinh y)
0.2b	(* (sin x) (/ (sinh y) x))

rewrite57.0ms

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:

15.0ms	(/ (sinh y) x)
3.0ms	(sinh y)
35.0ms	(* (sin x) (/ (sinh y) x))

series423.0ms

Counts

3 → 9

Calls

3 calls:

131.0ms	(/ (sinh y) x)
106.0ms	(sinh y)
185.0ms	(* (sin x) (/ (sinh y) x))

simplify1.4s

Counts

77 → 77

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	140	738
1	343	703
2	1612	640
done	5001	633

prune527.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ (* 1/6 (pow y 3)) (+ (* 1/120 (pow y 5)) y)) x)
0.1b	(* 1/120 (pow y 5))
0.1b	(* 1/6 (pow y 3))
0.2b	(* (sin x) (/ (+ (* 1/6 (pow y 3)) (+ (* 1/120 (pow y 5)) y)) x))

rewrite348.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt`
32×	`associate-r`
27×	`add-cube-cbrt` `*-un-lft-identity`
21×	`add-exp-log`
19×	`times-frac`
15×	`add-cbrt-cube`
9×	`associate-l` `unswap-sqr`
8×	`unpow-prod-down` `prod-exp`
6×	`pow1`
4×	`cube-prod` `cbrt-unprod` `add-log-exp` `sqr-pow`
3×	`associate-/r` `-commutative` `associate-/l*`
2×	`cbrt-undiv` `pow-to-exp` `div-exp` `pow-exp` `div-inv` `associate-/l/`
1×	`cube-mult` `frac-2neg` `flip3-+` `unpow3` `associate-*r/` `pow-prod-down` `clear-num` `flip-+`

Counts

4 → 117

Calls

4 calls:

145.0ms	(/ (+ (* 1/6 (pow y 3)) (+ (* 1/120 (pow y 5)) y)) x)
21.0ms	(* 1/120 (pow y 5))
21.0ms	(* 1/6 (pow y 3))
154.0ms	(* (sin x) (/ (+ (* 1/6 (pow y 3)) (+ (* 1/120 (pow y 5)) y)) x))

series572.0ms

Counts

4 → 12

Calls

4 calls:

124.0ms	(/ (+ (* 1/6 (pow y 3)) (+ (* 1/120 (pow y 5)) y)) x)
81.0ms	(* 1/120 (pow y 5))
67.0ms	(* 1/6 (pow y 3))
300.0ms	(* (sin x) (/ (+ (* 1/6 (pow y 3)) (+ (* 1/120 (pow y 5)) y)) x))

simplify2.9s

Counts

129 → 129

Iterations

Useful iterations: 2 (874.0ms)

Iter	Nodes	Cost
0	210	2111
1	558	2009
2	2922	1820
done	5002	1820

prune985.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ x (sinh y))
0.0b	(sinh y)
0.8b	(/ (sin x) (/ x (sinh y)))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

87×	`times-frac`
54×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
17×	`associate-/r*`
10×	`add-exp-log` `add-cbrt-cube`
6×	`sinh-def` `associate-/r/` `div-inv` `associate-/l*`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `add-log-exp`
2×	`frac-2neg` `clear-num`

Counts

3 → 110

Calls

3 calls:

11.0ms	(/ x (sinh y))
3.0ms	(sinh y)
29.0ms	(/ (sin x) (/ x (sinh y)))

series460.0ms

Counts

3 → 9

Calls

3 calls:

189.0ms	(/ x (sinh y))
104.0ms	(sinh y)
166.0ms	(/ (sin x) (/ x (sinh y)))

simplify1.6s

Counts

119 → 119

Iterations

Useful iterations: 2 (547.0ms)

Iter	Nodes	Cost
0	215	1544
1	532	1472
2	2649	1388
done	5000	1388

prune787.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes316.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	7	7
done	7	7

end0.0ms

sample5.9s

Algorithm

intervals

Results

1.9s	10272×	body	80	valid
1.5s	1889×	body	640	valid
1.2s	1895×	body	1280	valid
381.0ms	1119×	body	320	valid
119.0ms	608×	body	160	valid