Details

sample35.0ms

Algorithm

intervals

Results

11.0ms	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

simplify61.0ms

Counts

1 → 1

Iterations

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

prune24.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 1 expressions with local error:

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

rewrite108.0ms

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:

106.0ms

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

series31.0ms

Counts

1 → 3

Calls

1 calls:

31.0ms

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

simplify1.0s

Counts

27 → 27

Iterations

Iter	Nodes
done	5002
2	701
1	135
0	50

prune150.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 2 expressions with local error:

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

rewrite58.0ms

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:

11.0ms	(+ (* d1 3.0) (* d1 d2))
46.0ms	(+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3))

series107.0ms

Counts

2 → 6

Calls

2 calls:

53.0ms	(+ (* d1 3.0) (* d1 d2))
53.0ms	(+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3))

simplify1.3s

Counts

41 → 41

Iterations

Iter	Nodes
done	5000
2	1083
1	209
0	62

prune235.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize11.0ms

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))

rewrite6.0ms

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:

5.0ms	(+ (fma d1 3.0 (* d1 d2)) (* d1 d3))
0.0ms	(fma d1 3.0 (* d1 d2))

series119.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(+ (fma d1 3.0 (* d1 d2)) (* d1 d3))
68.0ms	(fma d1 3.0 (* d1 d2))

simplify1.9s

Counts

33 → 33

Iterations

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

prune208.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ 3.0 d3) (+ 3.0 d3))
3.6b	(- (* (+ 3.0 d3) (+ 3.0 d3)) (* d2 d2))
5.5b	(* (- (* (+ 3.0 d3) (+ 3.0 d3)) (* d2 d2)) d1)
17.4b	(/ (* (- (* (+ 3.0 d3) (+ 3.0 d3)) (* d2 d2)) d1) (- (+ 3.0 d3) d2))

rewrite192.0ms

Algorithm

rewrite-expression-head

Rules

36×	`*-un-lft-identity`
20×	`add-sqr-sqrt`
13×	`pow1` `add-cbrt-cube` `add-exp-log`
12×	`add-cube-cbrt`
8×	`associate-l` `distribute-lft-out`
7×	`associate-r`
6×	`associate-/r` `flip3-+` `times-frac` `swap-sqr` `associate-l/` `flip-+` `add-log-exp`
4×	`expm1-log1p-u` `frac-times` `flip3--` `log1p-expm1-u` `flip--` `distribute-lft-out--` `difference-of-squares`
3×	`prod-exp` `cbrt-unprod`
2×	`distribute-rgt-in` `cbrt-undiv` `distribute-lft-in` `div-exp` `pow-prod-down` `associate--l+` `associate-r/` `associate-/r/` `-commutative` `unswap-sqr` `associate-/l/`
1×	`pow2` `clear-num` `sub-neg` `frac-2neg` `pow-plus` `fma-neg` `diff-log` `prod-diff` `pow-sqr` `pow-prod-up` `div-inv` `associate-/l*`

Counts

4 → 117

Calls

4 calls:

32.0ms	(* (+ 3.0 d3) (+ 3.0 d3))
27.0ms	(- (* (+ 3.0 d3) (+ 3.0 d3)) (* d2 d2))
59.0ms	(* (- (* (+ 3.0 d3) (+ 3.0 d3)) (* d2 d2)) d1)
69.0ms	(/ (* (- (* (+ 3.0 d3) (+ 3.0 d3)) (* d2 d2)) d1) (- (+ 3.0 d3) d2))

series280.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (+ 3.0 d3) (+ 3.0 d3))
50.0ms	(- (* (+ 3.0 d3) (+ 3.0 d3)) (* d2 d2))
89.0ms	(* (- (* (+ 3.0 d3) (+ 3.0 d3)) (* d2 d2)) d1)
116.0ms	(/ (* (- (* (+ 3.0 d3) (+ 3.0 d3)) (* d2 d2)) d1) (- (+ 3.0 d3) d2))

simplify2.7s

Counts

129 → 129

Iterations

Iter	Nodes
done	5000
2	4131
1	599
0	191

prune661.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes173.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	11
1	11
0	8

end0.0ms

sample1.2s

Algorithm

intervals

Results

627.0ms	9496×	body	80	valid
35.0ms	207×	body	640	valid
23.0ms	101×	body	1280	valid
17.0ms	133×	body	320	valid
8.0ms	96×	body	160	valid