Details

sample566.0ms

Algorithm: halfpoints

simplify11.7s

Counts

1 → 1

Iterations

Iter	Nodes
9	2619
8	1786
7	1075
6	423
5	176
4	112
3	78
2	46
1	30
0	16

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 44.8b

localize131.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
0.0b	(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
0.1b	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
58.9b	(- (exp x) (exp (- x)))

rewrite143.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
35×	`associate-l`
29×	`times-frac`
23×	`add-cube-cbrt`
14×	`add-cbrt-cube` `add-exp-log`
8×	`pow1` `add-log-exp`
6×	`associate-r`
4×	`prod-exp` `cbrt-unprod` `insert-posit16` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `div-inv`
1×	`+-commutative` `sum-log` `sub-neg` `flip3-+` `flip3--` `diff-log` `flip-+` `flip--`

Counts

4 → 103

Calls

4 calls:

20.0ms	(+ (exp x) (exp (- x)))
53.0ms	(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
51.0ms	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
15.0ms	(- (exp x) (exp (- x)))

series352.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(+ (exp x) (exp (- x)))
84.0ms	(* (/ (+ (exp x) (exp (- x))) 2) (cos y))
148.0ms	(* (/ (- (exp x) (exp (- x))) 2) (sin y))
77.0ms	(- (exp x) (exp (- x)))

simplify2.2s

Counts

115 → 115

Iterations

Iter	Nodes
3	4948
2	1643
1	513
0	200

prune963.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize104.0ms

Local error

Found 4 expressions with local error:

0.1b	(* 1/60 (pow x 5))
0.1b	(* x (* 1/3 x))
0.1b	(* (/ (+ (* 1/60 (pow x 5)) (* x (+ (* x (* 1/3 x)) 2))) 2) (sin y))
0.4b	(* 1/3 x)

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt`
22×	`associate-l`
21×	`add-exp-log`
18×	`*-un-lft-identity` `add-cbrt-cube` `add-cube-cbrt`
14×	`associate-r`
13×	`pow1`
10×	`times-frac`
9×	`prod-exp`
7×	`cbrt-unprod`
6×	`unswap-sqr`
5×	`pow-prod-down`
4×	`unpow-prod-down` `*-commutative` `insert-posit16` `add-log-exp`
2×	`sqr-pow`
1×	`pow-to-exp` `cbrt-undiv` `div-exp` `associate-*l/` `pow-exp` `div-inv`

Counts

4 → 97

Calls

4 calls:

14.0ms	(* 1/60 (pow x 5))
23.0ms	(* x (* 1/3 x))
29.0ms	(* (/ (+ (* 1/60 (pow x 5)) (* x (+ (* x (* 1/3 x)) 2))) 2) (sin y))
8.0ms	(* 1/3 x)

series298.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(* 1/60 (pow x 5))
51.0ms	(* x (* 1/3 x))
143.0ms	(* (/ (+ (* 1/60 (pow x 5)) (* x (+ (* x (* 1/3 x)) 2))) 2) (sin y))
25.0ms	(* 1/3 x)

simplify2.3s

Counts

109 → 109

Iterations

Iter	Nodes
3	4805
2	1245
1	398
0	172

prune979.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize158.0ms

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))

rewrite51.0ms

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×	`add-cbrt-cube` `insert-posit16` `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 → 77

Calls

4 calls:

23.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
2.0ms	(cbrt (sin y))
21.0ms	(cbrt (sin y))
3.0ms	(cbrt (sin y))

series577.0ms

Counts

4 → 12

Calls

4 calls:

128.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
114.0ms	(cbrt (sin y))
145.0ms	(cbrt (sin y))
189.0ms	(cbrt (sin y))

simplify2.5s

Counts

89 → 89

Iterations

Iter	Nodes
4	4040
3	1168
2	415
1	173
0	77

prune758.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize183.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (/ (+ (* 1/60 (pow x 5)) (* x (+ (* x (* 1/3 x)) 2))) 2)) (cbrt (/ (+ (* 1/60 (pow x 5)) (* x (+ (* x (* 1/3 x)) 2))) 2)))
0.7b	(cbrt (/ (+ (* 1/60 (pow x 5)) (* x (+ (* x (* 1/3 x)) 2))) 2))
0.7b	(cbrt (/ (+ (* 1/60 (pow x 5)) (* x (+ (* x (* 1/3 x)) 2))) 2))
0.7b	(cbrt (/ (+ (* 1/60 (pow x 5)) (* x (+ (* x (* 1/3 x)) 2))) 2))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

103×	`cbrt-prod`
81×	`add-sqr-sqrt`
69×	`times-frac`
57×	`*-un-lft-identity` `add-cube-cbrt`
16×	`swap-sqr` `associate-r` `associate-l`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `div-inv`
6×	`add-exp-log`
4×	`add-cbrt-cube` `insert-posit16` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-l/` `prod-exp` `associate-r/` `*-commutative` `cbrt-unprod`

Counts

4 → 148

Calls

4 calls:

47.0ms	(* (cbrt (/ (+ (* 1/60 (pow x 5)) (* x (+ (* x (* 1/3 x)) 2))) 2)) (cbrt (/ (+ (* 1/60 (pow x 5)) (* x (+ (* x (* 1/3 x)) 2))) 2)))
7.0ms	(cbrt (/ (+ (* 1/60 (pow x 5)) (* x (+ (* x (* 1/3 x)) 2))) 2))
7.0ms	(cbrt (/ (+ (* 1/60 (pow x 5)) (* x (+ (* x (* 1/3 x)) 2))) 2))
5.0ms	(cbrt (/ (+ (* 1/60 (pow x 5)) (* x (+ (* x (* 1/3 x)) 2))) 2))

series1.1s

Counts

4 → 12

Calls

4 calls:

305.0ms	(* (cbrt (/ (+ (* 1/60 (pow x 5)) (* x (+ (* x (* 1/3 x)) 2))) 2)) (cbrt (/ (+ (* 1/60 (pow x 5)) (* x (+ (* x (* 1/3 x)) 2))) 2)))
300.0ms	(cbrt (/ (+ (* 1/60 (pow x 5)) (* x (+ (* x (* 1/3 x)) 2))) 2))
255.0ms	(cbrt (/ (+ (* 1/60 (pow x 5)) (* x (+ (* x (* 1/3 x)) 2))) 2))
223.0ms	(cbrt (/ (+ (* 1/60 (pow x 5)) (* x (+ (* x (* 1/3 x)) 2))) 2))

simplify2.7s

Counts

160 → 160

Iterations

Iter	Nodes
3	5300
2	1341
1	489
0	235

prune1.7s

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

regimes385.0ms

Accuracy

0% (0.7b remaining)

Error of 0.8b against oracle of 0.1b and baseline of 0.8b

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
2	34
1	34
0	25

end0.0ms

sample11.9s

Algorithm: halfpoints