Details

sample42.0ms

Algorithm

intervals

Results

18.0ms	350×	body	80	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	320	valid

simplify27.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite2.7s

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:

1.7s	(* x (+ (+ (+ (+ y z) z) y) t))
40.0ms	(+ (+ y z) z)
178.0ms	(+ (+ (+ y z) z) y)
727.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))

series273.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(* x (+ (+ (+ (+ y z) z) y) t))
41.0ms	(+ (+ y z) z)
56.0ms	(+ (+ (+ y z) z) y)
102.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))

simplify46.0ms

Counts: 83 → 83

prune293.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (+ (* 2 (+ z y)) t))
0.0b	(+ (* x (+ (* 2 (+ z y)) t)) (* y 5.0))

rewrite150.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 35

Calls

2 calls:

94.0ms	(* x (+ (* 2 (+ z y)) t))
52.0ms	(+ (* x (+ (* 2 (+ z y)) t)) (* y 5.0))

series164.0ms

Counts

2 → 6

Calls

2 calls:

67.0ms	(* x (+ (* 2 (+ z y)) t))
97.0ms	(+ (* x (+ (* 2 (+ z y)) t)) (* y 5.0))

simplify27.0ms

Counts: 41 → 41

prune146.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt (* x (+ (+ (+ (+ y z) z) y) t))) (cbrt (* x (+ (+ (+ (+ y z) z) y) t))))
1.5b	(cbrt (* x (+ (+ (+ (+ y z) z) y) t)))
1.5b	(cbrt (* x (+ (+ (+ (+ y z) z) y) t)))
1.5b	(cbrt (* x (+ (+ (+ (+ y z) z) y) t)))

rewrite1.1s

Algorithm

rewrite-expression-head

Rules

20×	`associate-*r/`
18×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`frac-times` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `associate-*l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

46.0ms	(* (cbrt (* x (+ (+ (+ (+ y z) z) y) t))) (cbrt (* x (+ (+ (+ (+ y z) z) y) t))))
385.0ms	(cbrt (* x (+ (+ (+ (+ y z) z) y) t)))
354.0ms	(cbrt (* x (+ (+ (+ (+ y z) z) y) t)))
311.0ms	(cbrt (* x (+ (+ (+ (+ y z) z) y) t)))

series774.0ms

Counts

4 → 12

Calls

4 calls:

278.0ms	(* (cbrt (* x (+ (+ (+ (+ y z) z) y) t))) (cbrt (* x (+ (+ (+ (+ y z) z) y) t))))
172.0ms	(cbrt (* x (+ (+ (+ (+ y z) z) y) t)))
160.0ms	(cbrt (* x (+ (+ (+ (+ y z) z) y) t)))
164.0ms	(cbrt (* x (+ (+ (+ (+ y z) z) y) t)))

simplify98.0ms

Counts: 84 → 84

prune347.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt (+ (+ (+ (+ y z) z) y) t))
1.5b	(cbrt (* x (+ (+ (+ (+ y z) z) y) t)))
1.5b	(cbrt (* x (+ (+ (+ (+ y z) z) y) t)))

rewrite1.1s

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity`
12×	`cbrt-prod`
10×	`distribute-lft-out`
6×	`add-sqr-sqrt` `add-cube-cbrt` `cbrt-div`
4×	`pow1` `add-exp-log` `pow1/3` `associate-*r/` `add-cbrt-cube` `add-log-exp`
3×	`flip3-+` `flip-+`

Counts

4 → 50

Calls

4 calls:

1.0ms	(cbrt x)
373.0ms	(cbrt (+ (+ (+ (+ y z) z) y) t))
386.0ms	(cbrt (* x (+ (+ (+ (+ y z) z) y) t)))
381.0ms	(cbrt (* x (+ (+ (+ (+ y z) z) y) t)))

series970.0ms

Counts

4 → 12

Calls

4 calls:

266.0ms	(cbrt x)
278.0ms	(cbrt (+ (+ (+ (+ y z) z) y) t))
219.0ms	(cbrt (* x (+ (+ (+ (+ y z) z) y) t)))
206.0ms	(cbrt (* x (+ (+ (+ (+ y z) z) y) t)))

simplify79.0ms

Counts: 62 → 62

prune366.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes267.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify9.0ms

end0.0ms

sample1.6s

Algorithm

intervals

Results

910.0ms	10660×	body	80	valid
25.0ms	84×	body	1280	valid
17.0ms	80×	body	640	valid
12.0ms	72×	body	320	valid
3.0ms	34×	body	160	valid