Details

sample50.0ms

Algorithm

intervals

Results

29.0ms	318×	body	80	valid
1.0ms	4×	body	640	valid
1.0ms	5×	body	320	valid
1.0ms	2×	body	1280	valid
0.0ms	1×	body	160	valid

simplify108.0ms

Counts: 1 → 1

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 1 expressions with local error:

0.0b	(* d1 (+ d3 (+ 3 d2)))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

8×	`*-un-lft-identity`
5×	`add-sqr-sqrt` `associate-r`
3×	`pow1` `add-cbrt-cube` `associate-l` `add-exp-log` `add-cube-cbrt` `distribute-lft-out`
2×	`associate-*r/`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `insert-posit16` `add-log-exp` `unswap-sqr`

Counts

1 → 25

Calls

1 calls:

Slowest

68.0ms

(* d1 (+ d3 (+ 3 d2)))

series32.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

32.0ms

(* d1 (+ d3 (+ 3 d2)))

simplify1.1s

Counts: 28 → 28

prune226.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* d3 d1) (* (+ 3 d2) d1))
0.0b	(* (+ 3 d2) d1)

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`pow1` `add-cbrt-cube` `associate-l` `add-exp-log` `add-cube-cbrt` `add-log-exp`
3×	`associate-r`
2×	`flip3-+` `associate-*l/` `flip-+` `insert-posit16`
1×	`+-commutative` `sum-log` `distribute-rgt-out` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

2 → 35

Calls

2 calls:

Slowest

29.0ms	(* (+ 3 d2) d1)
18.0ms	(+ (* d3 d1) (* (+ 3 d2) d1))

series106.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

61.0ms	(+ (* d3 d1) (* (+ 3 d2) d1))
45.0ms	(* (+ 3 d2) d1)

simplify976.0ms

Counts: 41 → 41

prune351.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (+ 3 d2)) d1)
0.3b	(* (cbrt (+ 3 d2)) (cbrt (+ 3 d2)))
0.3b	(* (* (cbrt (+ 3 d2)) (cbrt (+ 3 d2))) (* (cbrt (+ 3 d2)) d1))
0.3b	(cbrt (+ 3 d2))

rewrite114.0ms

Algorithm

rewrite-expression-head

Rules

70×	`cbrt-div`
36×	`associate-*l/`
35×	`flip3-+` `flip-+`
34×	`*-un-lft-identity`
33×	`cbrt-prod`
32×	`frac-times`
28×	`add-sqr-sqrt`
25×	`pow1`
20×	`add-exp-log`
16×	`add-cube-cbrt`
15×	`associate-l`
11×	`add-cbrt-cube` `associate-r` `pow-prod-down`
10×	`prod-exp` `associate-*r/` `cbrt-unprod`
9×	`swap-sqr`
8×	`distribute-lft-out`
7×	`pow1/3`
6×	`unswap-sqr`
4×	`insert-posit16` `add-log-exp`
3×	`*-commutative`
2×	`pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus`

Counts

4 → 144

Calls

4 calls:

Slowest

65.0ms	(* (* (cbrt (+ 3 d2)) (cbrt (+ 3 d2))) (* (cbrt (+ 3 d2)) d1))
29.0ms	(* (cbrt (+ 3 d2)) (cbrt (+ 3 d2)))
15.0ms	(* (cbrt (+ 3 d2)) d1)
3.0ms	(cbrt (+ 3 d2))

series343.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

181.0ms	(* (cbrt (+ 3 d2)) d1)
58.0ms	(cbrt (+ 3 d2))
56.0ms	(* (cbrt (+ 3 d2)) (cbrt (+ 3 d2)))
48.0ms	(* (* (cbrt (+ 3 d2)) (cbrt (+ 3 d2))) (* (cbrt (+ 3 d2)) d1))

simplify826.0ms

Counts: 156 → 156

prune2.4s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* (cbrt (+ 3 d2)) (cbrt (+ 3 d2))) (* (cbrt (* (cbrt (+ 3 d2)) (cbrt (+ 3 d2)))) (* (cbrt (cbrt (+ 3 d2))) d1)))
0.3b	(* (cbrt (* (cbrt (+ 3 d2)) (cbrt (+ 3 d2)))) (* (cbrt (cbrt (+ 3 d2))) d1))
0.3b	(* (cbrt (+ 3 d2)) (cbrt (+ 3 d2)))
0.3b	(* (cbrt (+ 3 d2)) (cbrt (+ 3 d2)))

rewrite303.0ms

Algorithm

rewrite-expression-head

Rules

1308×	`cbrt-div`
604×	`frac-times`
444×	`flip3-+` `flip-+`
386×	`associate-*l/`
164×	`associate-*r/`
49×	`cbrt-prod` `*-un-lft-identity`
44×	`pow1`
37×	`add-sqr-sqrt`
34×	`add-exp-log`
22×	`pow-prod-down`
21×	`add-cube-cbrt`
20×	`prod-exp` `cbrt-unprod`
19×	`associate-l`
18×	`swap-sqr`
16×	`associate-r`
15×	`add-cbrt-cube`
12×	`pow1/3` `distribute-lft-out`
8×	`unswap-sqr`
4×	`pow-sqr` `*-commutative` `pow-prod-up` `insert-posit16` `add-log-exp`
2×	`pow2` `pow-plus`

Counts

4 → 425

Calls

4 calls:

Slowest

183.0ms	(* (* (cbrt (+ 3 d2)) (cbrt (+ 3 d2))) (* (cbrt (* (cbrt (+ 3 d2)) (cbrt (+ 3 d2)))) (* (cbrt (cbrt (+ 3 d2))) d1)))
38.0ms	(* (cbrt (* (cbrt (+ 3 d2)) (cbrt (+ 3 d2)))) (* (cbrt (cbrt (+ 3 d2))) d1))
25.0ms	(* (cbrt (+ 3 d2)) (cbrt (+ 3 d2)))
23.0ms	(* (cbrt (+ 3 d2)) (cbrt (+ 3 d2)))

series354.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

181.0ms	(* (cbrt (* (cbrt (+ 3 d2)) (cbrt (+ 3 d2)))) (* (cbrt (cbrt (+ 3 d2))) d1))
82.0ms	(* (cbrt (+ 3 d2)) (cbrt (+ 3 d2)))
59.0ms	(* (cbrt (+ 3 d2)) (cbrt (+ 3 d2)))
31.0ms	(* (* (cbrt (+ 3 d2)) (cbrt (+ 3 d2))) (* (cbrt (* (cbrt (+ 3 d2)) (cbrt (+ 3 d2)))) (* (cbrt (cbrt (+ 3 d2))) d1)))

simplify1.3s

Counts: 437 → 437

prune8.8s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes176.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch1.0ms

end0.0ms

sample1.4s

Algorithm

intervals

Results

902.0ms	9470×	body	80	valid
71.0ms	231×	body	640	valid
56.0ms	97×	body	1280	valid
38.0ms	73×	body	160	valid
34.0ms	152×	body	320	valid