Details

sample123.0ms

Algorithm

intervals

Results

56.0ms	101×	body	1280	valid
20.0ms	82×	body	640	valid
16.0ms	268×	body	80	valid
9.0ms	43×	body	320	valid
2.0ms	13×	body	160	valid

simplify2.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
7	3986
6	802
5	260
4	135
3	67
2	30
1	15
0	6

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.0b	(/ (sinh y) y)
0.3b	(* (sin x) (/ (sinh y) y))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 68

Calls

3 calls:

1.0ms	(sinh y)
5.0ms	(/ (sinh y) y)
14.0ms	(* (sin x) (/ (sinh y) y))

series397.0ms

Counts

3 → 9

Calls

3 calls:

82.0ms	(sinh y)
146.0ms	(/ (sinh y) y)
169.0ms	(* (sin x) (/ (sinh y) y))

simplify1.1s

Counts

77 → 77

Iterations

Iter	Nodes
done	5000
2	1679
1	345
0	140

prune450.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(sinh y)
0.0b	(/ (sinh y) y)
0.3b	(* (sin x) (exp (log (/ (sinh y) y))))
3.4b	(log (/ (sinh y) y))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt`
28×	`log-prod` `*-un-lft-identity` `times-frac` `add-cube-cbrt`
16×	`associate-r`
15×	`exp-sum`
10×	`add-exp-log`
8×	`add-cbrt-cube`
7×	`pow1`
4×	`add-log-exp`
3×	`associate-/r` `associate-l` `div-inv` `associate-/l` `unswap-sqr`
2×	`log-div` `sinh-def` `div-exp` `rem-log-exp`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `exp-diff` `pow-prod-down` `prod-exp` `associate-r/` `log-pow` `-commutative` `cbrt-unprod` `associate-/l/`

Counts

4 → 94

Calls

4 calls:

1.0ms	(sinh y)
6.0ms	(/ (sinh y) y)
36.0ms	(* (sin x) (exp (log (/ (sinh y) y))))
5.0ms	(log (/ (sinh y) y))

series885.0ms

Counts

4 → 12

Calls

4 calls:

125.0ms	(sinh y)
167.0ms	(/ (sinh y) y)
167.0ms	(* (sin x) (exp (log (/ (sinh y) y))))
425.0ms	(log (/ (sinh y) y))

simplify1.0s

Counts

106 → 106

Iterations

Iter	Nodes
done	5000
2	1906
1	429
0	202

prune514.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(/ (sin x) y)
0.5b	(* (/ (sin x) y) (sinh y))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 69

Calls

3 calls:

2.0ms	(sinh y)
14.0ms	(/ (sin x) y)
24.0ms	(* (/ (sin x) y) (sinh y))

series350.0ms

Counts

3 → 9

Calls

3 calls:

124.0ms	(sinh y)
46.0ms	(/ (sin x) y)
179.0ms	(* (/ (sin x) y) (sinh y))

simplify1.4s

Counts

78 → 78

Iterations

Iter	Nodes
done	5000
2	1500
1	335
0	137

prune341.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.2b

localize37.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (sin x) (+ (* (pow y 2) (+ (* 1/120 (pow y 2)) 1/6)) 1))
0.1b	(* 1/120 (pow y 2))
0.2b	(* (pow y 2) (+ (* 1/120 (pow y 2)) 1/6))

rewrite132.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
15×	`add-exp-log`
14×	`associate-r` `associate-l`
11×	`*-un-lft-identity` `add-cube-cbrt`
9×	`add-cbrt-cube` `unswap-sqr`
8×	`unpow-prod-down`
7×	`prod-exp`
5×	`pow1`
4×	`associate-*r/` `unpow2` `sqr-pow`
3×	`*-commutative` `cbrt-unprod` `add-log-exp`
2×	`distribute-rgt-in` `pow-to-exp` `distribute-lft-in` `flip3-+` `pow-exp` `flip-+`
1×	`pow-prod-down`

Counts

3 → 80

Calls

3 calls:

81.0ms	(* (sin x) (+ (* (pow y 2) (+ (* 1/120 (pow y 2)) 1/6)) 1))
10.0ms	(* 1/120 (pow y 2))
38.0ms	(* (pow y 2) (+ (* 1/120 (pow y 2)) 1/6))

series419.0ms

Counts

3 → 9

Calls

3 calls:

232.0ms	(* (sin x) (+ (* (pow y 2) (+ (* 1/120 (pow y 2)) 1/6)) 1))
43.0ms	(* 1/120 (pow y 2))
144.0ms	(* (pow y 2) (+ (* 1/120 (pow y 2)) 1/6))

simplify2.1s

Counts

89 → 89

Iterations

Iter	Nodes
done	5002
2	2711
1	460
0	152

prune471.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.2b

regimes248.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	9
1	9
0	8

end0.0ms

sample5.7s

Algorithm

intervals

Results

2.1s	3036×	body	1280	valid
1.4s	8534×	body	80	valid
925.0ms	2502×	body	640	valid
323.0ms	1211×	body	320	valid
205.0ms	596×	body	160	valid