Details

sample41.0ms

Algorithm

intervals

Results

21.0ms	330×	body	80	valid
1.0ms	4×	body	1280	valid
1.0ms	4×	body	640	valid
0.0ms	2×	body	320	valid

simplify532.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize24.0ms

Local error

Found 4 expressions with local error:

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

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:

141.0ms	(+ (+ (+ y z) z) y)
543.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
44.0ms	(+ (+ y z) z)
1.5s	(* x (+ (+ (+ (+ y z) z) y) t))

series224.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(+ (+ (+ y z) z) y)
91.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
34.0ms	(+ (+ y z) z)
47.0ms	(* x (+ (+ (+ (+ y z) z) y) t))

simplify740.0ms

Counts: 83 → 83

prune272.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite765.0ms

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:

146.0ms	(+ (+ (+ y z) z) y)
393.0ms	(* (+ (+ (+ y z) z) y) x)
26.0ms	(+ (+ y z) z)
197.0ms	(+ (* (+ (+ (+ y z) z) y) x) (+ (* t x) (* y 5.0)))

series173.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(+ (+ (+ y z) z) y)
38.0ms	(* (+ (+ (+ y z) z) y) x)
40.0ms	(+ (+ y z) z)
59.0ms	(+ (* (+ (+ (+ y z) z) y) x) (+ (* t x) (* y 5.0)))

simplify1.1s

Counts: 84 → 84

prune366.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (+ (+ (+ y z) z) y) t)) (cbrt (+ (+ (+ (+ y z) z) y) t)))
0.6b	(cbrt (+ (+ (+ (+ y z) z) y) t))
0.6b	(cbrt (+ (+ (+ (+ y z) z) y) t))
0.6b	(cbrt (+ (+ (+ (+ y z) z) y) t))

rewrite4.2s

Algorithm

rewrite-expression-head

Rules

233×	`*-un-lft-identity`
150×	`distribute-lft-out`
93×	`cbrt-prod`
30×	`swap-sqr`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`associate-r` `associate-l`
9×	`flip3-+` `pow1/3` `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 → 131

Calls

4 calls:

3.0s	(* (cbrt (+ (+ (+ (+ y z) z) y) t)) (cbrt (+ (+ (+ (+ y z) z) y) t)))
398.0ms	(cbrt (+ (+ (+ (+ y z) z) y) t))
386.0ms	(cbrt (+ (+ (+ (+ y z) z) y) t))
401.0ms	(cbrt (+ (+ (+ (+ y z) z) y) t))

series1.6s

Counts

4 → 12

Calls

4 calls:

459.0ms	(* (cbrt (+ (+ (+ (+ y z) z) y) t)) (cbrt (+ (+ (+ (+ y z) z) y) t)))
371.0ms	(cbrt (+ (+ (+ (+ y z) z) y) t))
348.0ms	(cbrt (+ (+ (+ (+ y z) z) y) t))
390.0ms	(cbrt (+ (+ (+ (+ y z) z) y) t))

simplify672.0ms

Counts: 143 → 143

prune558.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize82.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ (+ (+ (+ y z) z) y) t))
0.6b	(cbrt (+ (+ (+ (+ y z) z) y) t))
0.6b	(cbrt (+ (+ (+ (+ y z) z) y) t))
0.9b	(pow (cbrt (cbrt (+ (+ (+ (+ y z) z) y) t))) 4)

rewrite1.9s

Algorithm

rewrite-expression-head

Rules

67×	`*-un-lft-identity`
40×	`distribute-lft-out`
38×	`cbrt-prod`
13×	`unpow-prod-down`
11×	`add-sqr-sqrt` `add-cube-cbrt`
6×	`cbrt-div`
5×	`pow1` `add-exp-log`
4×	`pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`pow-unpow` `flip3-+` `flip-+`
2×	`pow-pow`
1×	`pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 79

Calls

4 calls:

359.0ms	(cbrt (+ (+ (+ (+ y z) z) y) t))
407.0ms	(cbrt (+ (+ (+ (+ y z) z) y) t))
367.0ms	(cbrt (+ (+ (+ (+ y z) z) y) t))
755.0ms	(pow (cbrt (cbrt (+ (+ (+ (+ y z) z) y) t))) 4)

series1.8s

Counts

4 → 12

Calls

4 calls:

335.0ms	(cbrt (+ (+ (+ (+ y z) z) y) t))
358.0ms	(cbrt (+ (+ (+ (+ y z) z) y) t))
311.0ms	(cbrt (+ (+ (+ (+ y z) z) y) t))
768.0ms	(pow (cbrt (cbrt (+ (+ (+ (+ y z) z) y) t))) 4)

simplify1.5s

Counts: 91 → 91

prune498.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes218.0ms

Accuracy

5% (0.0b remaining)

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

bsearch0.0ms

simplify535.0ms

end0.0ms

sample2.0s

Algorithm

intervals

Results

1.2s	10642×	body	80	valid
92.0ms	100×	body	1280	valid
22.0ms	99×	body	640	valid
12.0ms	69×	body	320	valid
3.0ms	30×	body	160	valid