Details

sample471.0ms

Algorithm: halfpoints

simplify1.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	1025
5	247
4	128
3	83
2	48
1	30
0	16

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 41.9b

localize56.0ms

Local error

Found 2 expressions with local error:

0.4b	(* (- (exp x) (exp (- x))) (/ (sin y) 2.0))
58.4b	(- (exp x) (exp (- x)))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
21×	`*-un-lft-identity`
17×	`add-cube-cbrt`
13×	`associate-r`
10×	`times-frac`
9×	`prod-diff`
7×	`add-cbrt-cube` `add-exp-log`
5×	`associate-l`
4×	`pow1` `add-log-exp`
3×	`flip3--` `fma-neg` `flip--`
2×	`expm1-log1p-u` `frac-times` `associate-*l/` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`cbrt-undiv` `sub-neg` `diff-log` `div-exp` `pow-prod-down` `associate-r/` `-commutative` `div-inv`

Counts

2 → 68

Calls

2 calls:

57.0ms	(* (- (exp x) (exp (- x))) (/ (sin y) 2.0))
31.0ms	(- (exp x) (exp (- x)))

series163.0ms

Counts

2 → 6

Calls

2 calls:

91.0ms	(* (- (exp x) (exp (- x))) (/ (sin y) 2.0))
72.0ms	(- (exp x) (exp (- x)))

simplify1.3s

Counts

74 → 74

Iterations

Iter	Nodes
done	5001
2	1901
1	369
0	151

prune487.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.4b

localize72.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma 2 x (fma 1/3 (pow x 3) (* 1/60 (pow x 5))))
0.1b	(* 1/60 (pow x 5))
0.1b	(* (fma 2 x (fma 1/3 (pow x 3) (* 1/60 (pow x 5)))) (/ (sin y) 2.0))
0.2b	(fma 1/3 (pow x 3) (* 1/60 (pow x 5)))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
20×	`associate-r`
15×	`*-un-lft-identity` `add-cube-cbrt`
14×	`add-exp-log`
11×	`add-cbrt-cube`
10×	`times-frac`
6×	`pow1` `associate-l`
5×	`prod-exp` `unswap-sqr`
4×	`expm1-log1p-u` `unpow-prod-down` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-unprod`
2×	`*-commutative` `fma-udef` `sqr-pow`
1×	`pow-to-exp` `cbrt-undiv` `div-exp` `pow-prod-down` `pow-exp` `associate-*r/` `div-inv`

Counts

4 → 81

Calls

4 calls:

0.0ms	(fma 2 x (fma 1/3 (pow x 3) (* 1/60 (pow x 5))))
17.0ms	(* 1/60 (pow x 5))
21.0ms	(* (fma 2 x (fma 1/3 (pow x 3) (* 1/60 (pow x 5)))) (/ (sin y) 2.0))
1.0ms	(fma 1/3 (pow x 3) (* 1/60 (pow x 5)))

series496.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(fma 2 x (fma 1/3 (pow x 3) (* 1/60 (pow x 5))))
94.0ms	(* 1/60 (pow x 5))
119.0ms	(* (fma 2 x (fma 1/3 (pow x 3) (* 1/60 (pow x 5)))) (/ (sin y) 2.0))
199.0ms	(fma 1/3 (pow x 3) (* 1/60 (pow x 5)))

simplify1.4s

Counts

93 → 93

Iterations

Iter	Nodes
done	5001
2	1854
1	351
0	153

prune756.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.3b

localize57.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (sin y)) (cbrt (sin y)))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))

rewrite27.0ms

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` `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 → 81

Calls

4 calls:

20.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))

series614.0ms

Counts

4 → 12

Calls

4 calls:

167.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
119.0ms	(cbrt (sin y))
169.0ms	(cbrt (sin y))
159.0ms	(cbrt (sin y))

simplify1.3s

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
2	717
1	182
0	79

prune807.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.3b

localize63.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (sin y)) (cbrt (sin y)))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))

rewrite44.0ms

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` `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 → 81

Calls

4 calls:

35.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
2.0ms	(cbrt (sin y))
2.0ms	(cbrt (sin y))
2.0ms	(cbrt (sin y))

series600.0ms

Counts

4 → 12

Calls

4 calls:

224.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
129.0ms	(cbrt (sin y))
127.0ms	(cbrt (sin y))
119.0ms	(cbrt (sin y))

simplify1.2s

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
2	717
1	182
0	79

prune755.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.3b

regimes278.0ms

Accuracy

0% (0.6b remaining)

Error of 0.7b against oracle of 0.1b and baseline of 0.7b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	18
1	18
0	16

end0.0ms

sample13.1s

Algorithm: halfpoints