Details

sample28.0ms

Algorithm

intervals

Results

10.0ms	302×	body	80	valid
1.0ms	9×	body	320	valid
1.0ms	4×	body	1280	valid
0.0ms	3×	body	640	valid
0.0ms	5×	body	160	valid

simplify54.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	93
5	93
4	86
3	73
2	45
1	19
0	9

prune30.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 24

Calls

1 calls:

77.0ms

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

series47.0ms

Counts

1 → 3

Calls

1 calls:

47.0ms

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

simplify950.0ms

Counts

27 → 27

Iterations

Iter	Nodes
done	5002
2	701
1	135
0	50

prune170.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
5×	`fma-def`
4×	`sum-log` `distribute-lft-out`
3×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
2×	`expm1-log1p-u` `pow1` `+-commutative` `flip3-+` `add-cbrt-cube` `add-exp-log` `flip-+` `log1p-expm1-u`
1×	`associate-+l+`

Counts

2 → 35

Calls

2 calls:

12.0ms	(+ (* d1 3.0) (* d1 d2))
49.0ms	(+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3))

series91.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(+ (* d1 3.0) (* d1 d2))
50.0ms	(+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3))

simplify797.0ms

Counts

41 → 41

Iterations

Iter	Nodes
done	5000
2	1083
1	209
0	62

prune264.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (fma d1 3.0 (* d1 d2)) (* d1 d3))
0.1b	(fma d1 3.0 (* d1 d2))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-log-exp`
3×	`add-sqr-sqrt` `fma-def` `*-un-lft-identity` `add-cube-cbrt`
2×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `fma-udef` `log1p-expm1-u`
1×	`+-commutative` `associate-+l+` `sum-log` `flip3-+` `flip-+`

Counts

2 → 27

Calls

2 calls:

9.0ms	(+ (fma d1 3.0 (* d1 d2)) (* d1 d3))
1.0ms	(fma d1 3.0 (* d1 d2))

series117.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(+ (fma d1 3.0 (* d1 d2)) (* d1 d3))
67.0ms	(fma d1 3.0 (* d1 d2))

simplify1.6s

Counts

33 → 33

Iterations

Iter	Nodes
done	5000
3	2723
2	507
1	119
0	46

prune177.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma d1 3.0 (* d1 d2))) (cbrt (fma d1 3.0 (* d1 d2))))
0.6b	(cbrt (fma d1 3.0 (* d1 d2)))
0.6b	(cbrt (fma d1 3.0 (* d1 d2)))
0.6b	(cbrt (fma d1 3.0 (* d1 d2)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

9.0ms	(* (cbrt (fma d1 3.0 (* d1 d2))) (cbrt (fma d1 3.0 (* d1 d2))))
1.0ms	(cbrt (fma d1 3.0 (* d1 d2)))
1.0ms	(cbrt (fma d1 3.0 (* d1 d2)))
1.0ms	(cbrt (fma d1 3.0 (* d1 d2)))

series694.0ms

Counts

4 → 12

Calls

4 calls:

205.0ms	(* (cbrt (fma d1 3.0 (* d1 d2))) (cbrt (fma d1 3.0 (* d1 d2))))
145.0ms	(cbrt (fma d1 3.0 (* d1 d2)))
156.0ms	(cbrt (fma d1 3.0 (* d1 d2)))
187.0ms	(cbrt (fma d1 3.0 (* d1 d2)))

simplify904.0ms

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
2	1348
1	368
0	142

prune858.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes197.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	10
1	10
0	7

end0.0ms

sample1.2s

Algorithm

intervals

Results

595.0ms	9496×	body	80	valid
67.0ms	207×	body	640	valid
20.0ms	101×	body	1280	valid
16.0ms	133×	body	320	valid
8.0ms	96×	body	160	valid