Details

sample45.0ms

Algorithm

intervals

Results

22.0ms	308×	body	80	valid
2.0ms	9×	body	640	valid
1.0ms	5×	body	320	valid
1.0ms	5×	body	160	valid
0.0ms	1×	body	1280	valid

simplify82.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	9	11
1	19	9
2	45	7
3	73	7
4	85	7
5	94	7
6	100	7
done	100	7

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

0.0b	(* d1 (+ d3 (+ 3.0 d2)))

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

8×	`*-un-lft-identity`
5×	`add-sqr-sqrt` `associate-r`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-l` `add-cbrt-cube` `distribute-lft-out`
2×	`associate-*r/`
1×	`distribute-rgt-in` `expm1-log1p-u` `distribute-lft-in` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 26

Calls

1 calls:

107.0ms

(* d1 (+ d3 (+ 3.0 d2)))

series37.0ms

Counts

1 → 3

Calls

1 calls:

36.0ms

(* d1 (+ d3 (+ 3.0 d2)))

simplify785.0ms

Counts

29 → 29

Iterations

Useful iterations: done (784.0ms)

Iter	Nodes	Cost
0	53	281
1	171	265
2	760	236
done	5001	234

prune101.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* d1 d3) (* d1 (+ 3.0 d2)))
0.0b	(* d1 (+ 3.0 d2))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-r` `add-cbrt-cube` `add-log-exp`
3×	`associate-l`
2×	`distribute-rgt-in` `expm1-log1p-u` `associate-+r+` `distribute-lft-in` `flip3-+` `associate-*r/` `flip-+` `log1p-expm1-u` `distribute-lft-out`
1×	`+-commutative` `fma-def` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 42

Calls

2 calls:

10.0ms	(+ (* d1 d3) (* d1 (+ 3.0 d2)))
42.0ms	(* d1 (+ 3.0 d2))

series114.0ms

Counts

2 → 6

Calls

2 calls:

73.0ms	(+ (* d1 d3) (* d1 (+ 3.0 d2)))
41.0ms	(* d1 (+ 3.0 d2))

simplify953.0ms

Counts

48 → 48

Iterations

Useful iterations: done (951.0ms)

Iter	Nodes	Cost
0	76	459
1	247	389
2	1111	359
done	5000	356

prune155.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* d1 (* (cbrt (+ 3.0 d2)) (cbrt (+ 3.0 d2)))) (cbrt (+ 3.0 d2)))
0.3b	(cbrt (+ 3.0 d2))
0.3b	(cbrt (+ 3.0 d2))
0.3b	(cbrt (+ 3.0 d2))

rewrite278.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-div`
32×	`associate-*r/`
30×	`flip3-+` `flip-+`
28×	`frac-times`
17×	`*-un-lft-identity`
16×	`cbrt-prod`
14×	`associate-*l/`
13×	`pow1` `add-exp-log`
9×	`add-sqr-sqrt` `add-cube-cbrt`
8×	`add-cbrt-cube`
7×	`associate-r`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`
3×	`pow1/3`
1×	`associate-l` `*-commutative`

Counts

4 → 101

Calls

4 calls:

253.0ms	(* (* d1 (* (cbrt (+ 3.0 d2)) (cbrt (+ 3.0 d2)))) (cbrt (+ 3.0 d2)))
4.0ms	(cbrt (+ 3.0 d2))
10.0ms	(cbrt (+ 3.0 d2))
4.0ms	(cbrt (+ 3.0 d2))

series454.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(* (* d1 (* (cbrt (+ 3.0 d2)) (cbrt (+ 3.0 d2)))) (cbrt (+ 3.0 d2)))
131.0ms	(cbrt (+ 3.0 d2))
154.0ms	(cbrt (+ 3.0 d2))
107.0ms	(cbrt (+ 3.0 d2))

simplify1.5s

Counts

113 → 113

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	175	2228
1	490	2105
2	1962	1835
done	5001	1659

prune517.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (+ 3.0 d2))
0.3b	(cbrt (+ 3.0 d2))
0.3b	(cbrt (+ 3.0 d2))
0.3b	(cbrt (+ 3.0 d2))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

16×	`cbrt-prod` `*-un-lft-identity`
8×	`add-sqr-sqrt` `add-cube-cbrt` `cbrt-div`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `flip3-+` `pow1/3` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`

Counts

4 → 64

Calls

4 calls:

4.0ms	(cbrt (+ 3.0 d2))
4.0ms	(cbrt (+ 3.0 d2))
4.0ms	(cbrt (+ 3.0 d2))
4.0ms	(cbrt (+ 3.0 d2))

series491.0ms

Counts

4 → 12

Calls

4 calls:

116.0ms	(cbrt (+ 3.0 d2))
120.0ms	(cbrt (+ 3.0 d2))
130.0ms	(cbrt (+ 3.0 d2))
124.0ms	(cbrt (+ 3.0 d2))

simplify2.6s

Counts

76 → 76

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	79	924
1	184	868
2	576	824
3	2280	720
done	5001	672

prune427.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes110.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	10	7
done	10	7

end0.0ms

sample1.2s

Algorithm

intervals

Results

571.0ms	9645×	body	80	valid
66.0ms	215×	body	640	valid
47.0ms	142×	body	320	valid
17.0ms	83×	body	1280	valid
8.0ms	100×	body	160	valid