Details

sample143.0ms

Algorithm

intervals

Results

57.0ms	101×	body	1280	valid
28.0ms	82×	body	640	valid
21.0ms	268×	body	80	valid
10.0ms	43×	body	320	valid
2.0ms	13×	body	160	valid

simplify2.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	4128
6	824
5	269
4	137
3	67
2	30
1	15
0	6

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite24.0ms

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` `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 → 74

Calls

3 calls:

1.0ms	(sinh y)
6.0ms	(/ (sinh y) y)
15.0ms	(* (sin x) (/ (sinh y) y))

series401.0ms

Counts

3 → 9

Calls

3 calls:

108.0ms	(sinh y)
140.0ms	(/ (sinh y) y)
152.0ms	(* (sin x) (/ (sinh y) y))

simplify1.1s

Counts

83 → 83

Iterations

Iter	Nodes
done	5000
2	1812
1	362
0	146

prune456.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.2b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (pow (/ (sinh y) y) 3))
0.0b	(/ (sinh y) y)
0.0b	(pow (/ (sinh y) y) 3)
0.3b	(* (sin x) (cbrt (pow (/ (sinh y) y) 3)))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

74×	`add-sqr-sqrt`
70×	`cbrt-prod`
65×	`times-frac`
59×	`*-un-lft-identity` `add-cube-cbrt`
41×	`unpow-prod-down` `cube-prod`
35×	`associate-r`
11×	`add-exp-log`
10×	`add-cbrt-cube`
7×	`pow1` `div-inv` `unswap-sqr`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `sqr-pow`
3×	`cube-div` `cube-mult` `pow-unpow` `associate-/r` `unpow3` `associate-l` `associate-/l`
2×	`cbrt-undiv` `cbrt-div` `div-exp` `pow-exp` `rem-cube-cbrt`
1×	`pow-to-exp` `sinh-def` `clear-num` `pow-pow` `frac-2neg` `pow1/3` `pow-prod-down` `prod-exp` `associate-r/` `-commutative` `rem-cbrt-cube` `cbrt-unprod` `associate-/l/`

Counts

4 → 181

Calls

4 calls:

5.0ms	(cbrt (pow (/ (sinh y) y) 3))
6.0ms	(/ (sinh y) y)
6.0ms	(pow (/ (sinh y) y) 3)
46.0ms	(* (sin x) (cbrt (pow (/ (sinh y) y) 3)))

series563.0ms

Counts

4 → 12

Calls

4 calls:

132.0ms	(cbrt (pow (/ (sinh y) y) 3))
119.0ms	(/ (sinh y) y)
163.0ms	(pow (/ (sinh y) y) 3)
149.0ms	(* (sin x) (cbrt (pow (/ (sinh y) y) 3)))

simplify2.5s

Counts

193 → 193

Iterations

Iter	Nodes
done	5000
2	4696
1	733
0	243

prune885.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.2b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (sqrt (/ (sinh y) y)) 3)
0.2b	(cbrt (pow (sqrt (/ (sinh y) y)) 3))
0.2b	(sqrt (/ (sinh y) y))
0.2b	(sqrt (/ (sinh y) y))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

78×	`sqrt-prod`
58×	`add-sqr-sqrt`
56×	`times-frac`
52×	`*-un-lft-identity` `add-cube-cbrt`
38×	`cbrt-prod`
32×	`unpow-prod-down` `cube-prod`
8×	`pow1`
6×	`div-inv`
5×	`add-cbrt-cube` `add-exp-log`
4×	`expm1-log1p-u` `rem-sqrt-square` `sqrt-div` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `pow-pow` `sqrt-pow1` `pow1/2`
2×	`cube-div` `cube-mult` `unpow3` `sqr-pow`
1×	`pow-to-exp` `cbrt-div` `pow1/3` `pow-exp` `rem-cbrt-cube` `sqrt-pow2` `rem-cube-cbrt`

Counts

4 → 159

Calls

4 calls:

12.0ms	(pow (sqrt (/ (sinh y) y)) 3)
12.0ms	(cbrt (pow (sqrt (/ (sinh y) y)) 3))
7.0ms	(sqrt (/ (sinh y) y))
7.0ms	(sqrt (/ (sinh y) y))

series597.0ms

Counts

4 → 12

Calls

4 calls:

196.0ms	(pow (sqrt (/ (sinh y) y)) 3)
115.0ms	(cbrt (pow (sqrt (/ (sinh y) y)) 3))
152.0ms	(sqrt (/ (sinh y) y))
134.0ms	(sqrt (/ (sinh y) y))

simplify583.0ms

Counts

171 → 171

Iterations

Iter	Nodes
done	5001
1	1137
0	368

prune1.1s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.2b

localize43.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (sin x) (cbrt (pow (fma (pow y 4) 1/120 (fma (pow y 2) 1/6 1)) 3)))
0.0b	(fma (pow y 4) 1/120 (fma (pow y 2) 1/6 1))
0.0b	(cbrt (pow (fma (pow y 4) 1/120 (fma (pow y 2) 1/6 1)) 3))
0.0b	(pow (fma (pow y 4) 1/120 (fma (pow y 2) 1/6 1)) 3)

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

28×	`cbrt-prod`
24×	`add-sqr-sqrt`
15×	`-un-lft-identity` `associate-r*` `add-cube-cbrt`
10×	`unpow-prod-down` `cube-prod`
7×	`pow1` `add-exp-log`
6×	`add-cbrt-cube`
5×	`unswap-sqr`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `sqr-pow`
3×	`cube-mult` `pow-unpow` `unpow3` `associate-l`
1×	`pow-to-exp` `pow-pow` `pow1/3` `pow-prod-down` `pow-exp` `prod-exp` `*-commutative` `rem-cbrt-cube` `cbrt-unprod` `fma-udef` `rem-cube-cbrt`

Counts

4 → 94

Calls

4 calls:

31.0ms	(* (sin x) (cbrt (pow (fma (pow y 4) 1/120 (fma (pow y 2) 1/6 1)) 3)))
1.0ms	(fma (pow y 4) 1/120 (fma (pow y 2) 1/6 1))
4.0ms	(cbrt (pow (fma (pow y 4) 1/120 (fma (pow y 2) 1/6 1)) 3))
4.0ms	(pow (fma (pow y 4) 1/120 (fma (pow y 2) 1/6 1)) 3)

series785.0ms

Counts

4 → 12

Calls

4 calls:

138.0ms	(* (sin x) (cbrt (pow (fma (pow y 4) 1/120 (fma (pow y 2) 1/6 1)) 3)))
79.0ms	(fma (pow y 4) 1/120 (fma (pow y 2) 1/6 1))
473.0ms	(cbrt (pow (fma (pow y 4) 1/120 (fma (pow y 2) 1/6 1)) 3))
96.0ms	(pow (fma (pow y 4) 1/120 (fma (pow y 2) 1/6 1)) 3)

simplify2.1s

Counts

106 → 106

Iterations

Iter	Nodes
done	5000
2	2170
1	326
0	135

prune529.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.2b

regimes207.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	10
1	10
0	9

end0.0ms

sample5.7s

Algorithm

intervals

Results

2.7s	3036×	body	1280	valid
924.0ms	2502×	body	640	valid
845.0ms	8534×	body	80	valid
440.0ms	1211×	body	320	valid
91.0ms	596×	body	160	valid