Details

sample262.0ms

Algorithm: halfpoints

simplify5.6s

Counts

1 → 1

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	16	24
1	30	11
2	48	11
3	83	11
4	127	11
5	200	11
6	373	11
7	614	11
8	1106	11
9	1516	11
10	1847	11
11	1933	11
12	1953	11
done	1953	11

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity`
17×	`add-sqr-sqrt`
16×	`associate-l`
13×	`times-frac`
12×	`add-cube-cbrt`
7×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `distribute-lft-out` `add-log-exp`
3×	`fma-def` `associate-r`
2×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `flip3-+` `div-exp` `pow-prod-down` `associate-l/` `sum-log` `-commutative` `flip-+` `div-inv`

Counts

2 → 54

Calls

2 calls:

13.0ms	(+ (exp x) (exp (- x)))
59.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))

series130.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(+ (exp x) (exp (- x)))
96.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))

simplify1.8s

Counts

60 → 60

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	113	747
1	281	730
2	800	643
3	2250	639
done	5000	638

prune277.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp (- x)) (exp x))
0.0b	(* (/ (cbrt (pow (+ (exp (- x)) (exp x)) 3)) 2.0) (cos y))
0.0b	(cbrt (pow (+ (exp (- x)) (exp x)) 3))
0.0b	(pow (+ (exp (- x)) (exp x)) 3)

rewrite317.0ms

Algorithm

rewrite-expression-head

Rules

64×	`*-un-lft-identity`
60×	`cbrt-prod`
58×	`add-sqr-sqrt`
56×	`times-frac`
55×	`associate-l`
42×	`add-cube-cbrt`
21×	`unpow-prod-down` `cube-prod`
11×	`distribute-lft-out`
10×	`add-exp-log`
9×	`add-cbrt-cube`
7×	`pow1`
6×	`add-log-exp` `unswap-sqr` `sqr-pow`
5×	`cube-mult` `unpow3`
4×	`cube-div` `expm1-log1p-u` `log1p-expm1-u`
3×	`pow-unpow` `fma-def` `flip3-+` `associate-r` `flip-+`
2×	`cbrt-div` `prod-exp` `cbrt-unprod`
1×	`cbrt-undiv` `+-commutative` `pow-to-exp` `pow-pow` `pow1/3` `div-exp` `pow-prod-down` `associate-l/` `pow-exp` `sum-log` `-commutative` `rem-cbrt-cube` `div-inv` `rem-cube-cbrt`

Counts

4 → 153

Calls

4 calls:

37.0ms	(+ (exp (- x)) (exp x))
196.0ms	(* (/ (cbrt (pow (+ (exp (- x)) (exp x)) 3)) 2.0) (cos y))
40.0ms	(cbrt (pow (+ (exp (- x)) (exp x)) 3))
32.0ms	(pow (+ (exp (- x)) (exp x)) 3)

series212.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(+ (exp (- x)) (exp x))
83.0ms	(* (/ (cbrt (pow (+ (exp (- x)) (exp x)) 3)) 2.0) (cos y))
27.0ms	(cbrt (pow (+ (exp (- x)) (exp x)) 3))
67.0ms	(pow (+ (exp (- x)) (exp x)) 3)

simplify1.3s

Counts

165 → 165

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	212	2502
1	478	2054
2	1475	1893
done	5001	1886

prune755.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize56.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (/ (cbrt (pow (+ (exp (- x)) (exp x)) 3)) 2.0))
0.0b	(* (sqrt (/ (cbrt (pow (+ (exp (- x)) (exp x)) 3)) 2.0)) (* (sqrt (/ (+ (exp (- x)) (exp x)) 2.0)) (cos y)))
0.0b	(cbrt (pow (+ (exp (- x)) (exp x)) 3))
0.0b	(pow (+ (exp (- x)) (exp x)) 3)

rewrite455.0ms

Algorithm

rewrite-expression-head

Rules

110×	`sqrt-prod`
107×	`times-frac`
103×	`*-un-lft-identity`
102×	`cbrt-prod`
81×	`add-sqr-sqrt`
71×	`add-cube-cbrt`
58×	`associate-l`
33×	`unpow-prod-down` `cube-prod`
16×	`distribute-lft-out`
11×	`pow1`
10×	`add-exp-log` `add-cbrt-cube`
9×	`sqr-pow`
8×	`cube-mult` `unpow3`
6×	`rem-sqrt-square`
5×	`sqrt-div`
4×	`cube-div` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `pow-prod-down` `associate-*l/` `prod-exp` `cbrt-unprod`
2×	`cbrt-div` `flip3-+` `flip-+` `div-inv`
1×	`frac-times` `pow-to-exp` `pow-pow` `sqrt-pow1` `pow1/2` `pow1/3` `associate-r/` `associate-r` `pow-exp` `-commutative` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 207

Calls

4 calls:

81.0ms	(sqrt (/ (cbrt (pow (+ (exp (- x)) (exp x)) 3)) 2.0))
307.0ms	(* (sqrt (/ (cbrt (pow (+ (exp (- x)) (exp x)) 3)) 2.0)) (* (sqrt (/ (+ (exp (- x)) (exp x)) 2.0)) (cos y)))
28.0ms	(cbrt (pow (+ (exp (- x)) (exp x)) 3))
29.0ms	(pow (+ (exp (- x)) (exp x)) 3)

series476.0ms

Counts

4 → 12

Calls

4 calls:

165.0ms	(sqrt (/ (cbrt (pow (+ (exp (- x)) (exp x)) 3)) 2.0))
173.0ms	(* (sqrt (/ (cbrt (pow (+ (exp (- x)) (exp x)) 3)) 2.0)) (* (sqrt (/ (+ (exp (- x)) (exp x)) 2.0)) (cos y)))
43.0ms	(cbrt (pow (+ (exp (- x)) (exp x)) 3))
94.0ms	(pow (+ (exp (- x)) (exp x)) 3)

simplify1.4s

Counts

219 → 219

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	328	4893
1	649	3764
2	1780	3427
done	5001	3412

prune1.0s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (* (+ (exp (- x)) (exp x)) (+ (exp (- x)) (exp x))))
0.2b	(* (sqrt (/ (cbrt (* (+ (exp (- x)) (exp x)) (+ (exp (- x)) (exp x)))) 1)) (* (sqrt (/ (cbrt (+ (exp (- x)) (exp x))) 2.0)) (* (sqrt (/ (+ (exp (- x)) (exp x)) 2.0)) (cos y))))
0.2b	(* (sqrt (/ (cbrt (+ (exp (- x)) (exp x))) 2.0)) (* (sqrt (/ (+ (exp (- x)) (exp x)) 2.0)) (cos y)))
1.0b	(cbrt (+ (exp (- x)) (exp x)))

rewrite682.0ms

Algorithm

rewrite-expression-head

Rules

47×	`associate-l`
41×	`sqrt-prod`
37×	`*-un-lft-identity`
33×	`times-frac`
29×	`add-sqr-sqrt` `add-cube-cbrt`
20×	`cbrt-prod`
18×	`pow1` `add-exp-log` `add-cbrt-cube`
16×	`sqrt-div`
12×	`associate-*l/`
10×	`frac-times` `cbrt-div`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`associate-*r/`
7×	`flip3-+` `flip-+`
4×	`expm1-log1p-u` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`
2×	`pow1/3` `associate-r` `*-commutative` `div-inv`

Counts

4 → 129

Calls

4 calls:

45.0ms	(cbrt (* (+ (exp (- x)) (exp x)) (+ (exp (- x)) (exp x))))
369.0ms	(* (sqrt (/ (cbrt (* (+ (exp (- x)) (exp x)) (+ (exp (- x)) (exp x)))) 1)) (* (sqrt (/ (cbrt (+ (exp (- x)) (exp x))) 2.0)) (* (sqrt (/ (+ (exp (- x)) (exp x)) 2.0)) (cos y))))
222.0ms	(* (sqrt (/ (cbrt (+ (exp (- x)) (exp x))) 2.0)) (* (sqrt (/ (+ (exp (- x)) (exp x)) 2.0)) (cos y)))
39.0ms	(cbrt (+ (exp (- x)) (exp x)))

series1.1s

Counts

4 → 12

Calls

4 calls:

355.0ms	(cbrt (* (+ (exp (- x)) (exp x)) (+ (exp (- x)) (exp x))))
176.0ms	(* (sqrt (/ (cbrt (* (+ (exp (- x)) (exp x)) (+ (exp (- x)) (exp x)))) 1)) (* (sqrt (/ (cbrt (+ (exp (- x)) (exp x))) 2.0)) (* (sqrt (/ (+ (exp (- x)) (exp x)) 2.0)) (cos y))))
312.0ms	(* (sqrt (/ (cbrt (+ (exp (- x)) (exp x))) 2.0)) (* (sqrt (/ (+ (exp (- x)) (exp x)) 2.0)) (cos y)))
251.0ms	(cbrt (+ (exp (- x)) (exp x)))

simplify2.1s

Counts

141 → 141

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	290	4446
1	672	3726
2	2168	3395
done	5001	3357

prune1.1s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes61.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	25
1	20	25
done	20	25

end0.0ms

sample5.1s

Algorithm: halfpoints