Details

sample494.0ms

Algorithm: halfpoints

simplify4.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
8	2574
7	1165
6	432
5	178
4	111
3	79
2	48
1	30
0	16

prune23.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 39.5b

localize84.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
0.0b	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
0.1b	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
56.6b	(- (exp x) (exp (- x)))

rewrite147.0ms

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` `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 → 99

Calls

4 calls:

19.0ms	(+ (exp x) (exp (- x)))
49.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
58.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
15.0ms	(- (exp x) (exp (- x)))

series238.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(+ (exp x) (exp (- x)))
65.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
87.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
53.0ms	(- (exp x) (exp (- x)))

simplify1.8s

Counts

111 → 111

Iterations

Iter	Nodes
done	5001
2	1758
1	517
0	199

prune949.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize114.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
0.0b	(* 1/60 (pow x 5))
0.1b	(* (/ (+ (* x (+ 2 (* (* x x) 1/3))) (* 1/60 (pow x 5))) 2.0) (sin y))
0.2b	(* (* x x) 1/3)

rewrite188.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
33×	`associate-l`
31×	`*-un-lft-identity`
25×	`add-cube-cbrt`
24×	`add-exp-log`
23×	`times-frac`
21×	`add-cbrt-cube`
16×	`associate-r`
13×	`pow1`
10×	`prod-exp`
8×	`cbrt-unprod` `unswap-sqr`
5×	`pow-prod-down`
4×	`unpow-prod-down` `*-commutative` `add-log-exp`
3×	`distribute-lft-out`
2×	`cbrt-undiv` `div-exp` `associate-*l/` `div-inv` `sqr-pow`
1×	`pow-to-exp` `pow-exp`

Counts

4 → 111

Calls

4 calls:

78.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
20.0ms	(* 1/60 (pow x 5))
59.0ms	(* (/ (+ (* x (+ 2 (* (* x x) 1/3))) (* 1/60 (pow x 5))) 2.0) (sin y))
27.0ms	(* (* x x) 1/3)

series324.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
63.0ms	(* 1/60 (pow x 5))
128.0ms	(* (/ (+ (* x (+ 2 (* (* x x) 1/3))) (* 1/60 (pow x 5))) 2.0) (sin y))
34.0ms	(* (* x x) 1/3)

simplify1.8s

Counts

123 → 123

Iterations

Iter	Nodes
done	5000
2	2000
1	598
0	237

prune1.1s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.1b

localize136.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (sin y)) (cbrt (sin y)))
0.7b	(cbrt (sin y))
0.7b	(cbrt (sin y))
0.7b	(cbrt (sin y))

rewrite17.0ms

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` `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 → 73

Calls

4 calls:

11.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))

series611.0ms

Counts

4 → 12

Calls

4 calls:

182.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
147.0ms	(cbrt (sin y))
152.0ms	(cbrt (sin y))
129.0ms	(cbrt (sin y))

simplify3.9s

Counts

85 → 85

Iterations

Iter	Nodes
done	5002
4	4605
3	1321
2	472
1	175
0	75

prune845.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize163.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x (+ 2 (* (* x x) 1/3))) (* 1/60 (pow x 5)))) (cbrt (+ (* x (+ 2 (* (* x x) 1/3))) (* 1/60 (pow x 5)))))
0.6b	(cbrt (+ (* x (+ 2 (* (* x x) 1/3))) (* 1/60 (pow x 5))))
0.6b	(cbrt (+ (* x (+ 2 (* (* x x) 1/3))) (* 1/60 (pow x 5))))
0.6b	(cbrt (+ (* x (+ 2 (* (* x x) 1/3))) (* 1/60 (pow x 5))))

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

67.0ms	(* (cbrt (+ (* x (+ 2 (* (* x x) 1/3))) (* 1/60 (pow x 5)))) (cbrt (+ (* x (+ 2 (* (* x x) 1/3))) (* 1/60 (pow x 5)))))
8.0ms	(cbrt (+ (* x (+ 2 (* (* x x) 1/3))) (* 1/60 (pow x 5))))
15.0ms	(cbrt (+ (* x (+ 2 (* (* x x) 1/3))) (* 1/60 (pow x 5))))
15.0ms	(cbrt (+ (* x (+ 2 (* (* x x) 1/3))) (* 1/60 (pow x 5))))

series924.0ms

Counts

4 → 12

Calls

4 calls:

285.0ms	(* (cbrt (+ (* x (+ 2 (* (* x x) 1/3))) (* 1/60 (pow x 5)))) (cbrt (+ (* x (+ 2 (* (* x x) 1/3))) (* 1/60 (pow x 5)))))
213.0ms	(cbrt (+ (* x (+ 2 (* (* x x) 1/3))) (* 1/60 (pow x 5))))
196.0ms	(cbrt (+ (* x (+ 2 (* (* x x) 1/3))) (* 1/60 (pow x 5))))
230.0ms	(cbrt (+ (* x (+ 2 (* (* x x) 1/3))) (* 1/60 (pow x 5))))

simplify2.0s

Counts

99 → 99

Iterations

Iter	Nodes
done	5002
2	1236
1	418
0	166

prune1.2s

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

regimes342.0ms

Accuracy

0% (0.6b remaining)

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

bsearch0.0ms

simplify10.0ms

Iterations

Iter	Nodes
done	34
1	34
0	26

end0.0ms

sample13.0s

Algorithm: halfpoints