Details

sample156.0ms

Algorithm

intervals

Results

55.0ms	100×	body	1280	valid
26.0ms	71×	body	640	valid
24.0ms	297×	body	80	valid
13.0ms	48×	body	320	valid
5.0ms	30×	body	160	valid

simplify1.9s

Counts

1 → 1

Iterations

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite22.0ms

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:

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

series359.0ms

Counts

3 → 9

Calls

3 calls:

124.0ms	(/ (sinh y) y)
75.0ms	(sinh y)
159.0ms	(* (sin x) (/ (sinh y) y))

simplify846.0ms

Counts

77 → 77

Iterations

Iter	Nodes
done	5001
2	1713
1	348
0	140

prune398.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (sqrt (/ (sinh y) y)) (sqrt (/ (sinh y) y)))
0.2b	(sqrt (/ (sinh y) y))
0.2b	(sqrt (/ (sinh y) y))
0.3b	(* (sin x) (* (sqrt (/ (sinh y) y)) (sqrt (/ (sinh y) y))))

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

92×	`sqrt-prod`
86×	`add-sqr-sqrt`
62×	`times-frac`
51×	`*-un-lft-identity` `add-cube-cbrt`
26×	`pow1`
19×	`associate-l`
18×	`swap-sqr`
17×	`associate-r`
11×	`add-cbrt-cube` `add-exp-log`
10×	`sqrt-pow1` `pow1/2` `sqrt-div` `unswap-sqr`
6×	`pow-prod-down` `div-inv`
5×	`associate-*r/` `pow-prod-up`
4×	`rem-sqrt-square` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`pow-sqr`
2×	`frac-times` `associate-l/` `-commutative`
1×	`pow2` `rem-square-sqrt` `pow-plus` `sqrt-unprod`

Counts

4 → 159

Calls

4 calls:

28.0ms	(* (sqrt (/ (sinh y) y)) (sqrt (/ (sinh y) y)))
3.0ms	(sqrt (/ (sinh y) y))
3.0ms	(sqrt (/ (sinh y) y))
42.0ms	(* (sin x) (* (sqrt (/ (sinh y) y)) (sqrt (/ (sinh y) y))))

series566.0ms

Counts

4 → 12

Calls

4 calls:

107.0ms	(* (sqrt (/ (sinh y) y)) (sqrt (/ (sinh y) y)))
116.0ms	(sqrt (/ (sinh y) y))
135.0ms	(sqrt (/ (sinh y) y))
208.0ms	(* (sin x) (* (sqrt (/ (sinh y) y)) (sqrt (/ (sinh y) y))))

simplify506.0ms

Counts

171 → 171

Iterations

Iter	Nodes
done	5000
1	972
0	370

prune969.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize28.0ms

Local error

Found 4 expressions with local error:

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

rewrite175.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-sqr-sqrt`
23×	`associate-r`
19×	`*-un-lft-identity` `add-exp-log` `add-cube-cbrt`
18×	`associate-l`
13×	`add-cbrt-cube`
10×	`times-frac`
9×	`unswap-sqr`
8×	`unpow-prod-down` `prod-exp`
6×	`pow1` `add-log-exp`
4×	`cube-prod` `cbrt-unprod` `sqr-pow`
3×	`*-commutative`
2×	`pow-to-exp` `pow-exp`
1×	`cube-mult` `cbrt-undiv` `+-commutative` `sum-log` `flip3-+` `unpow3` `div-exp` `pow-prod-down` `associate-*r/` `flip-+` `div-inv`

Counts

4 → 99

Calls

4 calls:

11.0ms	(+ (* (pow y 3) 1/6) y)
122.0ms	(* (sin x) (/ (+ (+ (* (pow y 3) 1/6) y) (* 1/120 (pow y 5))) y))
20.0ms	(* 1/120 (pow y 5))
17.0ms	(* (pow y 3) 1/6)

series511.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(+ (* (pow y 3) 1/6) y)
273.0ms	(* (sin x) (/ (+ (+ (* (pow y 3) 1/6) y) (* 1/120 (pow y 5))) y))
78.0ms	(* 1/120 (pow y 5))
60.0ms	(* (pow y 3) 1/6)

simplify1.6s

Counts

111 → 111

Iterations

Iter	Nodes
done	5002
2	3200
1	518
0	190

prune676.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize50.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
0.7b	(pow (cbrt y) 5)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
10×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`unpow-prod-down`
5×	`pow1` `add-exp-log`
4×	`add-cbrt-cube` `pow1/3` `add-log-exp`
3×	`pow-unpow`
2×	`pow-pow`
1×	`pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 54

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
3.0ms	(pow (cbrt y) 5)

series989.0ms

Counts

4 → 12

Calls

4 calls:

209.0ms	(cbrt y)
257.0ms	(cbrt y)
219.0ms	(cbrt y)
303.0ms	(pow (cbrt y) 5)

simplify750.0ms

Counts

66 → 66

Iterations

Iter	Nodes
done	5000
3	1763
2	530
1	163
0	58

prune486.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

regimes167.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	9
1	9
0	8

end0.0ms

sample4.8s

Algorithm

intervals

Results

1.4s	2890×	body	1280	valid
1.1s	8553×	body	80	valid
905.0ms	2496×	body	640	valid
462.0ms	601×	body	160	valid
277.0ms	1231×	body	320	valid