Details

sample150.0ms

Algorithm

intervals

Results

62.0ms	77×	body	1280	valid
34.0ms	343×	body	80	valid
23.0ms	49×	body	640	valid
11.0ms	32×	body	320	valid
4.0ms	18×	body	160	valid

simplify2.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	2121
6	724
5	279
4	142
3	69
2	32
1	15
0	6

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.6b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (sin x) (sinh y))
15.6b	(/ (* (sin x) (sinh y)) x)

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-cbrt-cube` `add-exp-log`
9×	`add-sqr-sqrt`
7×	`*-un-lft-identity` `add-cube-cbrt`
5×	`pow1`
3×	`expm1-log1p-u` `sinh-def` `associate-/r` `times-frac` `associate-r` `associate-l*` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `div-exp` `prod-exp` `associate-*r/` `cbrt-unprod`
1×	`clear-num` `frac-2neg` `pow-prod-down` `-commutative` `div-inv` `associate-/l` `unswap-sqr` `associate-/l/`

Counts

3 → 58

Calls

3 calls:

3.0ms	(sinh y)
22.0ms	(* (sin x) (sinh y))
26.0ms	(/ (* (sin x) (sinh y)) x)

series410.0ms

Counts

3 → 9

Calls

3 calls:

103.0ms	(sinh y)
131.0ms	(* (sin x) (sinh y))
176.0ms	(/ (* (sin x) (sinh y)) x)

simplify1.1s

Counts

67 → 67

Iterations

Iter	Nodes
done	5006
2	1024
1	297
0	125

prune254.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite26.0ms

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×	`expm1-log1p-u` `associate-/r` `associate-l` `insert-posit16` `log1p-expm1-u` `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 → 77

Calls

3 calls:

3.0ms	(sinh y)
8.0ms	(/ (sinh y) x)
13.0ms	(* (sin x) (/ (sinh y) x))

series318.0ms

Counts

3 → 9

Calls

3 calls:

76.0ms	(sinh y)
113.0ms	(/ (sinh y) x)
129.0ms	(* (sin x) (/ (sinh y) x))

simplify2.9s

Counts

86 → 86

Iterations

Iter	Nodes
done	5005
3	4053
2	1080
1	362
0	149

prune352.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x) (cbrt x))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 85

Calls

4 calls:

9.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series965.0ms

Counts

4 → 12

Calls

4 calls:

263.0ms	(* (cbrt x) (cbrt x))
249.0ms	(cbrt x)
230.0ms	(cbrt x)
222.0ms	(cbrt x)

simplify2.7s

Counts

97 → 97

Iterations

Iter	Nodes
done	5000
4	4291
3	1197
2	374
1	141
0	67

prune431.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize65.0ms

Local error

Found 4 expressions with local error:

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

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
25×	`pow1`
23×	`*-un-lft-identity` `add-cube-cbrt`
18×	`times-frac`
15×	`add-cbrt-cube` `add-exp-log`
6×	`associate-/r` `pow-plus` `associate-r` `pow-prod-up` `associate-/l`
4×	`expm1-log1p-u` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`pow2` `cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `pow-sqr` `*-commutative` `fma-udef` `div-inv` `unswap-sqr`
1×	`distribute-rgt-in` `distribute-lft-in` `pow3`

Counts

4 → 114

Calls

4 calls:

7.0ms	(/ 1/120 x)
29.0ms	(* (* y y) y)
25.0ms	(* (sin x) (fma (/ 1/120 x) (pow y 5) (fma (/ 1/6 x) (* (* y y) y) (/ y x))))
7.0ms	(/ 1/6 x)

series365.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(/ 1/120 x)
63.0ms	(* (* y y) y)
246.0ms	(* (sin x) (fma (/ 1/120 x) (pow y 5) (fma (/ 1/6 x) (* (* y y) y) (/ y x))))
31.0ms	(/ 1/6 x)

simplify2.5s

Counts

126 → 126

Iterations

Iter	Nodes
done	5004
3	3997
2	1150
1	392
0	184

prune738.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes171.0ms

Accuracy

0% (1.1b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 1.1b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	10
1	10
0	9

end0.0ms

sample6.0s

Algorithm

intervals

Results

1.9s	1901×	body	1280	valid
1.5s	10435×	body	80	valid
1.1s	1918×	body	640	valid
959.0ms	1126×	body	320	valid
187.0ms	631×	body	160	valid