Details

sample52.0ms

Algorithm

intervals

Results

26.0ms	359×	body	80	valid
0.0ms	3×	body	320	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	1280	valid
0.0ms	2×	body	160	valid

simplify35.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
0.0b	(* x (+ (+ (+ (+ y z) z) y) t))
0.0b	(+ (+ y z) z)
0.0b	(+ (+ (+ y z) z) y)

rewrite2.2s

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
20×	`add-log-exp`
19×	`distribute-lft-out`
10×	`sum-log`
8×	`add-sqr-sqrt`
7×	`associate-r`
6×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
4×	`associate-+l+` `flip3-+` `flip-+`
3×	`+-commutative` `associate-l`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-*r/`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 71

Calls

4 calls:

515.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
1.5s	(* x (+ (+ (+ (+ y z) z) y) t))
27.0ms	(+ (+ y z) z)
150.0ms	(+ (+ (+ y z) z) y)

series228.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
59.0ms	(* x (+ (+ (+ (+ y z) z) y) t))
34.0ms	(+ (+ y z) z)
46.0ms	(+ (+ (+ y z) z) y)

simplify49.0ms

Counts: 83 → 83

prune216.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ (+ (+ y z) z) y) x)
0.0b	(+ (* (+ (+ (+ y z) z) y) x) (+ (* t x) (* y 5.0)))
0.0b	(+ (+ y z) z)
0.0b	(+ (+ (+ y z) z) y)

rewrite759.0ms

Algorithm

rewrite-expression-head

Rules

29×	`*-un-lft-identity`
23×	`add-log-exp`
15×	`distribute-lft-out`
12×	`sum-log`
8×	`add-sqr-sqrt` `flip3-+` `flip-+`
6×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-l` `associate-*l/` `add-cbrt-cube`
4×	`frac-add`
3×	`+-commutative` `associate-r`
2×	`associate-+l+`
1×	`associate-+r+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

411.0ms	(* (+ (+ (+ y z) z) y) x)
143.0ms	(+ (* (+ (+ (+ y z) z) y) x) (+ (* t x) (* y 5.0)))
26.0ms	(+ (+ y z) z)
176.0ms	(+ (+ (+ y z) z) y)

series163.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* (+ (+ (+ y z) z) y) x)
62.0ms	(+ (* (+ (+ (+ y z) z) y) x) (+ (* t x) (* y 5.0)))
26.0ms	(+ (+ y z) z)
36.0ms	(+ (+ (+ y z) z) y)

simplify54.0ms

Counts: 84 → 84

prune242.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (+ (+ y z) z) y)) (cbrt (+ (+ (+ y z) z) y)))
0.5b	(cbrt (+ (+ (+ y z) z) y))
0.5b	(cbrt (+ (+ (+ y z) z) y))
0.5b	(cbrt (+ (+ (+ y z) z) y))

rewrite892.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 117

Calls

4 calls:

643.0ms	(* (cbrt (+ (+ (+ y z) z) y)) (cbrt (+ (+ (+ y z) z) y)))
69.0ms	(cbrt (+ (+ (+ y z) z) y))
93.0ms	(cbrt (+ (+ (+ y z) z) y))
78.0ms	(cbrt (+ (+ (+ y z) z) y))

series1.2s

Counts

4 → 12

Calls

4 calls:

323.0ms	(* (cbrt (+ (+ (+ y z) z) y)) (cbrt (+ (+ (+ y z) z) y)))
295.0ms	(cbrt (+ (+ (+ y z) z) y))
298.0ms	(cbrt (+ (+ (+ y z) z) y))
280.0ms	(cbrt (+ (+ (+ y z) z) y))

simplify84.0ms

Counts: 129 → 129

prune555.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (+ y z) z) y)
0.0b	(+ (+ (+ y z) z) y)
0.2b	(* (+ (* 2 (+ z y)) t) (* (- (+ (+ (+ y z) z) y) t) x))
22.7b	(/ (* (+ (* 2 (+ z y)) t) (* (- (+ (+ (+ y z) z) y) t) x)) (- (+ (+ (+ y z) z) y) t))

rewrite7.5s

Algorithm

rewrite-expression-head

Rules

53×	`*-un-lft-identity`
24×	`distribute-lft-out`
22×	`add-log-exp`
18×	`add-exp-log` `add-cbrt-cube`
16×	`associate-*l/`
12×	`sum-log`
11×	`add-sqr-sqrt`
9×	`pow1`
8×	`frac-times` `flip3-+` `times-frac` `associate-/r*` `flip-+` `associate-/l/` `distribute-lft-out--`
7×	`add-cube-cbrt` `flip3--` `flip--`
6×	`prod-exp` `cbrt-unprod`
4×	`associate-*r/`
3×	`cbrt-undiv` `div-exp` `associate-l` `pow-prod-down`
2×	`+-commutative` `associate-+l+` `associate-/r/` `difference-of-squares`
1×	`frac-2neg` `associate-r` `clear-num` `-commutative` `div-inv` `associate-/l`

Counts

4 → 103

Calls

4 calls:

150.0ms	(+ (+ (+ y z) z) y)
163.0ms	(+ (+ (+ y z) z) y)
3.5s	(* (+ (* 2 (+ z y)) t) (* (- (+ (+ (+ y z) z) y) t) x))
3.7s	(/ (* (+ (* 2 (+ z y)) t) (* (- (+ (+ (+ y z) z) y) t) x)) (- (+ (+ (+ y z) z) y) t))

series271.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(+ (+ (+ y z) z) y)
43.0ms	(+ (+ (+ y z) z) y)
132.0ms	(* (+ (* 2 (+ z y)) t) (* (- (+ (+ (+ y z) z) y) t) x))
50.0ms	(/ (* (+ (* 2 (+ z y)) t) (* (- (+ (+ (+ y z) z) y) t) x)) (- (+ (+ (+ y z) z) y) t))

simplify83.0ms

Counts: 115 → 115

prune408.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes228.0ms

Accuracy

6.2% (0.0b remaining)

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

bsearch0.0ms

simplify29.0ms

end0.0ms

sample1.8s

Algorithm

intervals

Results

1.2s	10708×	body	80	valid
42.0ms	61×	body	320	valid
28.0ms	91×	body	1280	valid
19.0ms	93×	body	640	valid
2.0ms	24×	body	160	valid