Details

sample197.0ms

Algorithm: halfpoints

simplify1.2s

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	118	11
5	231	11
6	979	11
done	5000	11

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 2 expressions with local error:

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

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 47

Calls

2 calls:

25.0ms	(+ (exp x) (exp (- x)))
85.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))

series135.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(+ (exp x) (exp (- x)))
89.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))

simplify993.0ms

Counts

53 → 53

Iterations

Useful iterations: done (990.0ms)

Iter	Nodes	Cost
0	109	709
1	284	694
2	1327	608
done	5000	606

prune191.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ (pow (exp x) 3) (pow (exp (- x)) 3)) (+ (exp (* x -2)) (+ -1 (exp (+ x x)))))
0.0b	(pow (exp (- x)) 3)
0.1b	(pow (exp x) 3)
19.9b	(+ -1 (exp (+ x x)))

rewrite326.0ms

Algorithm

rewrite-expression-head

Rules

142×	`*-un-lft-identity`
61×	`distribute-lft-out`
45×	`times-frac`
30×	`add-sqr-sqrt` `add-cube-cbrt` `unpow-prod-down` `cube-prod`
15×	`pow-pow`
13×	`exp-prod`
9×	`associate-/l*`
8×	`add-cbrt-cube`
6×	`pow1` `add-exp-log` `pow-unpow` `sum-cubes` `add-log-exp`
5×	`associate-/r*`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `flip3-+` `flip-+`
2×	`cube-div` `cube-mult` `pow-to-exp` `unpow3` `pow-exp` `associate-/r/` `associate-/l/` `rem-cube-cbrt` `sqr-pow`
1×	`cbrt-undiv` `+-commutative` `neg-sub0` `exp-neg` `neg-mul-1` `frac-2neg` `exp-diff` `div-exp` `clear-num` `sum-log` `div-inv`

Counts

4 → 148

Calls

4 calls:

274.0ms	(/ (+ (pow (exp x) 3) (pow (exp (- x)) 3)) (+ (exp (* x -2)) (+ -1 (exp (+ x x)))))
10.0ms	(pow (exp (- x)) 3)
5.0ms	(pow (exp x) 3)
22.0ms	(+ -1 (exp (+ x x)))

series265.0ms

Counts

4 → 12

Calls

4 calls:

155.0ms	(/ (+ (pow (exp x) 3) (pow (exp (- x)) 3)) (+ (exp (* x -2)) (+ -1 (exp (+ x x)))))
42.0ms	(pow (exp (- x)) 3)
37.0ms	(pow (exp x) 3)
29.0ms	(+ -1 (exp (+ x x)))

simplify1.8s

Counts

160 → 160

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	208	3222
1	595	2959
2	2747	2834
done	5001	2728

prune550.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (exp x) 2)
19.9b	(+ -1 (exp (+ x x)))
19.9b	(+ -1 (exp (+ x x)))
19.9b	(+ -1 (exp (+ x x)))

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity`
10×	`add-log-exp`
7×	`add-sqr-sqrt` `add-cube-cbrt`
5×	`pow1`
4×	`add-exp-log` `pow-pow` `add-cbrt-cube`
3×	`+-commutative` `unpow-prod-down` `pow-unpow` `exp-prod` `flip3-+` `sum-log` `flip-+` `distribute-lft-out`
1×	`pow-to-exp` `pow-exp` `unpow2` `sqr-pow`

Counts

4 → 57

Calls

4 calls:

8.0ms	(pow (exp x) 2)
29.0ms	(+ -1 (exp (+ x x)))
21.0ms	(+ -1 (exp (+ x x)))
26.0ms	(+ -1 (exp (+ x x)))

series105.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(pow (exp x) 2)
26.0ms	(+ -1 (exp (+ x x)))
26.0ms	(+ -1 (exp (+ x x)))
27.0ms	(+ -1 (exp (+ x x)))

simplify641.0ms

Counts

69 → 69

Iterations

Useful iterations: 2 (119.0ms)

Iter	Nodes	Cost
0	72	631
1	211	549
2	806	490
done	5000	490

prune540.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
0.0b	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
0.3b	(cbrt (pow (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) 3))
0.4b	(pow (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) 3)

rewrite126.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 90

Calls

4 calls:

14.0ms	(+ (exp x) (exp (- x)))
76.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
5.0ms	(cbrt (pow (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) 3))
27.0ms	(pow (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) 3)

series266.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(+ (exp x) (exp (- x)))
65.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
68.0ms	(cbrt (pow (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) 3))
100.0ms	(pow (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) 3)

simplify1.5s

Counts

102 → 102

Iterations

Useful iterations: 2 (415.0ms)

Iter	Nodes	Cost
0	160	1549
1	450	1351
2	2468	1247
done	5000	1247

prune469.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes118.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	12	11
done	12	11

end0.0ms

sample6.0s

Algorithm: halfpoints