Details

sample364.0ms

Algorithm: halfpoints

simplify4.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
8	3108
7	1340
6	477
5	194
4	121
3	79
2	48
1	30
0	16

prune25.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 44.3b

localize81.0ms

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))
58.2b	(- (exp x) (exp (- x)))

rewrite136.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt`
47×	`*-un-lft-identity`
35×	`associate-l`
31×	`add-cube-cbrt`
29×	`times-frac`
14×	`add-cbrt-cube` `add-exp-log`
9×	`prod-diff`
8×	`pow1` `add-log-exp`
6×	`associate-r`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
3×	`fma-def` `fma-neg`
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 → 122

Calls

4 calls:

19.0ms	(+ (exp x) (exp (- x)))
53.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
45.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
13.0ms	(- (exp x) (exp (- x)))

series303.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(+ (exp x) (exp (- x)))
85.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
140.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
46.0ms	(- (exp x) (exp (- x)))

simplify2.0s

Counts

134 → 134

Iterations

Iter	Nodes
done	5002
2	1904
1	582
0	231

prune1.1s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize115.0ms

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

rewrite136.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
31×	`*-un-lft-identity`
30×	`associate-l`
23×	`times-frac` `add-cube-cbrt`
19×	`add-cbrt-cube` `add-exp-log`
13×	`pow1`
9×	`associate-r`
7×	`prod-exp` `cbrt-unprod`
6×	`add-log-exp`
5×	`pow-prod-down` `unswap-sqr`
4×	`expm1-log1p-u` `log1p-expm1-u` `distribute-lft-out`
3×	`fma-def` `*-commutative`
2×	`cbrt-undiv` `div-exp` `associate-*l/` `div-inv`
1×	`+-commutative` `sum-log` `flip3-+` `flip-+`

Counts

4 → 109

Calls

4 calls:

14.0ms	(+ (exp x) (exp (- x)))
66.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
27.0ms	(* (/ (fma (pow x 5) 1/60 (* x (+ 2 (* (* x x) 1/3)))) 2.0) (sin y))
22.0ms	(* (* x x) 1/3)

series328.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(+ (exp x) (exp (- x)))
100.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
150.0ms	(* (/ (fma (pow x 5) 1/60 (* x (+ 2 (* (* x x) 1/3)))) 2.0) (sin y))
39.0ms	(* (* x x) 1/3)

simplify1.8s

Counts

121 → 121

Iterations

Iter	Nodes
done	5002
2	2079
1	575
0	223

prune1.1s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize124.0ms

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))

rewrite26.0ms

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:

19.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))

series704.0ms

Counts

4 → 12

Calls

4 calls:

178.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
175.0ms	(cbrt (sin y))
193.0ms	(cbrt (sin y))
158.0ms	(cbrt (sin y))

simplify2.2s

Counts

93 → 93

Iterations

Iter	Nodes
done	5001
3	1426
2	466
1	179
0	79

prune1.0s

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

localize212.0ms

Local error

Found 4 expressions with local error:

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

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

16×	`cbrt-prod`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `log1p-expm1-u` `add-log-exp`

Counts

4 → 53

Calls

4 calls:

2.0ms	(cbrt (sin y))
2.0ms	(cbrt (sin y))
13.0ms	(cbrt (* (cbrt (sin y)) (cbrt (sin y))))
3.0ms	(cbrt (cbrt (sin y)))

series566.0ms

Counts

4 → 12

Calls

4 calls:

129.0ms	(cbrt (sin y))
118.0ms	(cbrt (sin y))
156.0ms	(cbrt (* (cbrt (sin y)) (cbrt (sin y))))
164.0ms	(cbrt (cbrt (sin y)))

simplify2.6s

Counts

65 → 65

Iterations

Iter	Nodes
done	5004
4	2903
3	999
2	392
1	175
0	85

prune749.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

regimes378.0ms

Accuracy

0% (0.8b remaining)

Error of 0.9b against oracle of 0.1b and baseline of 0.9b

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	31
1	31
0	25

end0.0ms

sample12.7s

Algorithm: halfpoints