Details

sample399.0ms

Algorithm: halfpoints

simplify709.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
6	991
5	235
4	118
3	83
2	48
1	30
0	16

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 46.5b

localize74.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (/ (sin y) 2.0) (- (exp x) (exp (- x))))
58.8b	(- (exp x) (exp (- x)))

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 56

Calls

2 calls:

73.0ms	(* (/ (sin y) 2.0) (- (exp x) (exp (- x))))
16.0ms	(- (exp x) (exp (- x)))

series217.0ms

Counts

2 → 6

Calls

2 calls:

146.0ms	(* (/ (sin y) 2.0) (- (exp x) (exp (- x))))
71.0ms	(- (exp x) (exp (- x)))

simplify744.0ms

Counts

62 → 62

Iterations

Iter	Nodes
done	5001
2	1710
1	340
0	125

prune323.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize72.0ms

Local error

Found 4 expressions with local error:

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

rewrite381.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-sqr-sqrt`
23×	`associate-l`
19×	`*-un-lft-identity` `add-exp-log` `add-cube-cbrt`
18×	`associate-r`
13×	`add-cbrt-cube` `add-log-exp`
10×	`times-frac`
9×	`unswap-sqr`
8×	`unpow-prod-down` `prod-exp`
6×	`pow1` `sum-log`
4×	`cube-prod` `cbrt-unprod` `sqr-pow`
3×	`flip3-+` `*-commutative` `flip-+`
2×	`frac-times` `pow-to-exp` `pow-exp` `associate-*r/`
1×	`distribute-rgt-in` `cube-mult` `cbrt-undiv` `+-commutative` `associate-+r+` `distribute-lft-in` `unpow3` `div-exp` `pow-prod-down` `associate-*l/` `div-inv`

Counts

4 → 108

Calls

4 calls:

83.0ms	(+ (* (pow x 5) 1/60) (+ (* 1/3 (pow x 3)) (+ x x)))
10.0ms	(* (pow x 5) 1/60)
10.0ms	(* 1/3 (pow x 3))
272.0ms	(* (/ (sin y) 2.0) (+ (* (pow x 5) 1/60) (+ (* 1/3 (pow x 3)) (+ x x))))

series429.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(+ (* (pow x 5) 1/60) (+ (* 1/3 (pow x 3)) (+ x x)))
57.0ms	(* (pow x 5) 1/60)
41.0ms	(* 1/3 (pow x 3))
252.0ms	(* (/ (sin y) 2.0) (+ (* (pow x 5) 1/60) (+ (* 1/3 (pow x 3)) (+ x x))))

simplify1.7s

Counts

120 → 120

Iterations

Iter	Nodes
done	5000
2	3370
1	647
0	209

prune917.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

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

rewrite234.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-sqr-sqrt`
32×	`associate-l`
24×	`*-un-lft-identity`
19×	`add-exp-log` `add-cube-cbrt`
13×	`add-cbrt-cube`
11×	`flip3-+` `associate-r` `flip-+`
10×	`times-frac`
9×	`unswap-sqr`
8×	`unpow-prod-down` `frac-add` `prod-exp`
6×	`frac-times` `pow1` `associate-*r/` `add-log-exp`
4×	`cube-prod` `cbrt-unprod` `sqr-pow`
3×	`*-commutative` `distribute-lft-out`
2×	`pow-to-exp` `pow-exp`
1×	`distribute-rgt-in` `cube-mult` `cbrt-undiv` `+-commutative` `sum-log` `distribute-lft-in` `unpow3` `div-exp` `pow-prod-down` `associate-*l/` `div-inv`

Counts

4 → 115

Calls

4 calls:

9.0ms	(+ (* (pow x 3) 1/3) (* (pow x 5) 1/60))
9.0ms	(* (pow x 5) 1/60)
18.0ms	(* (pow x 3) 1/3)
195.0ms	(* (/ (sin y) 2.0) (+ (+ (* (pow x 3) 1/3) (* (pow x 5) 1/60)) (+ x x)))

series552.0ms

Counts

4 → 12

Calls

4 calls:

192.0ms	(+ (* (pow x 3) 1/3) (* (pow x 5) 1/60))
62.0ms	(* (pow x 5) 1/60)
60.0ms	(* (pow x 3) 1/3)
237.0ms	(* (/ (sin y) 2.0) (+ (+ (* (pow x 3) 1/3) (* (pow x 5) 1/60)) (+ x x)))

simplify358.0ms

Counts

127 → 127

Iterations

Iter	Nodes
done	5000
1	823
0	242

prune1.0s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize65.0ms

Local error

Found 4 expressions with local error:

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

rewrite300.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
75×	`add-sqr-sqrt`
63×	`*-un-lft-identity` `add-cube-cbrt`
21×	`add-exp-log`
19×	`associate-l`
18×	`associate-/r*`
15×	`add-cbrt-cube`
11×	`associate-/r/`
8×	`unpow-prod-down`
7×	`unswap-sqr`
6×	`associate-r` `prod-exp` `div-inv` `associate-/l*`
5×	`flip3-+` `flip-+`
4×	`pow1` `cbrt-undiv` `cube-prod` `div-exp` `add-log-exp` `sqr-pow`
2×	`pow-to-exp` `clear-num` `frac-2neg` `pow-exp` `*-commutative` `cbrt-unprod`
1×	`cube-mult` `unpow3`

Counts

4 → 163

Calls

4 calls:

128.0ms	(/ 2.0 (+ (* (pow x 5) 1/60) (+ (* (pow x 3) 1/3) (+ x x))))
18.0ms	(* (pow x 5) 1/60)
20.0ms	(* (pow x 3) 1/3)
123.0ms	(/ (sin y) (/ 2.0 (+ (* (pow x 5) 1/60) (+ (* (pow x 3) 1/3) (+ x x)))))

series512.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(/ 2.0 (+ (* (pow x 5) 1/60) (+ (* (pow x 3) 1/3) (+ x x))))
65.0ms	(* (pow x 5) 1/60)
52.0ms	(* (pow x 3) 1/3)
286.0ms	(/ (sin y) (/ 2.0 (+ (* (pow x 5) 1/60) (+ (* (pow x 3) 1/3) (+ x x)))))

simplify1.8s

Counts

175 → 175

Iterations

Iter	Nodes
done	5000
2	4319
1	798
0	311

prune1.3s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

regimes253.0ms

Accuracy

0% (0.7b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	22
1	22
0	17

end0.0ms

sample13.3s

Algorithm: halfpoints