Details

sample58.0ms

Algorithm

intervals

Results

31.0ms	286×	body	80	valid
4.0ms	10×	body	640	valid
2.0ms	4×	body	1280	valid
2.0ms	5×	body	320	valid
1.0ms	3×	body	160	valid

simplify61.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	82
5	82
4	81
3	70
2	44
1	19
0	9

prune8.0ms

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

rewrite37.0ms

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-+` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 25

Calls

1 calls:

37.0ms

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

series27.0ms

Counts

1 → 3

Calls

1 calls:

27.0ms

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

simplify2.3s

Counts

28 → 28

Iterations

Iter	Nodes
done	5000
3	3343
2	520
1	134
0	50

prune116.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 2 expressions with local error:

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

rewrite60.0ms

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-+` `insert-posit16` `log1p-expm1-u`
1×	`associate-+l+`

Counts

2 → 37

Calls

2 calls:

8.0ms	(+ (* d1 3) (* d1 d2))
51.0ms	(+ (+ (* d1 3) (* d1 d2)) (* d1 d3))

series115.0ms

Counts

2 → 6

Calls

2 calls:

63.0ms	(+ (* d1 3) (* d1 d2))
52.0ms	(+ (+ (* d1 3) (* d1 d2)) (* d1 d3))

simplify2.7s

Counts

43 → 43

Iterations

Iter	Nodes
done	5000
3	4156
2	839
1	210
0	63

prune228.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (* (cbrt (+ d2 (+ 3 d3))) (cbrt (+ d2 (+ 3 d3)))) (* (cbrt (+ d2 (+ 3 d3))) d1))
0.4b	(cbrt (+ d2 (+ 3 d3)))
0.4b	(cbrt (+ d2 (+ 3 d3)))
0.4b	(cbrt (+ d2 (+ 3 d3)))

rewrite198.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-div`
32×	`associate-*l/`
30×	`flip3-+` `flip-+`
28×	`frac-times`
22×	`*-un-lft-identity`
16×	`pow1` `add-exp-log`
15×	`cbrt-prod`
10×	`add-cbrt-cube`
9×	`distribute-lft-out`
8×	`pow-prod-down` `prod-exp` `associate-*r/` `cbrt-unprod`
7×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
1×	`associate-r` `associate-l` `*-commutative`

Counts

4 → 105

Calls

4 calls:

158.0ms	(* (* (cbrt (+ d2 (+ 3 d3))) (cbrt (+ d2 (+ 3 d3)))) (* (cbrt (+ d2 (+ 3 d3))) d1))
9.0ms	(cbrt (+ d2 (+ 3 d3)))
14.0ms	(cbrt (+ d2 (+ 3 d3)))
14.0ms	(cbrt (+ d2 (+ 3 d3)))

series367.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* (* (cbrt (+ d2 (+ 3 d3))) (cbrt (+ d2 (+ 3 d3)))) (* (cbrt (+ d2 (+ 3 d3))) d1))
120.0ms	(cbrt (+ d2 (+ 3 d3)))
101.0ms	(cbrt (+ d2 (+ 3 d3)))
111.0ms	(cbrt (+ d2 (+ 3 d3)))

simplify2.4s

Counts

117 → 117

Iterations

Iter	Nodes
done	5000
3	4098
2	1206
1	456
0	157

prune447.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ 3 d3) (+ 3 d3))
1.5b	(- (* d2 d2) (* (+ 3 d3) (+ 3 d3)))
9.9b	(* (- (* d2 d2) (* (+ 3 d3) (+ 3 d3))) d1)
14.5b	(/ (* (- (* d2 d2) (* (+ 3 d3) (+ 3 d3))) d1) (- d2 (+ 3 d3)))

rewrite122.0ms

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--` `insert-posit16` `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-r/` `associate-/r/` `-commutative` `associate--r+` `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 → 121

Calls

4 calls:

37.0ms	(* (+ 3 d3) (+ 3 d3))
8.0ms	(- (* d2 d2) (* (+ 3 d3) (+ 3 d3)))
22.0ms	(* (- (* d2 d2) (* (+ 3 d3) (+ 3 d3))) d1)
53.0ms	(/ (* (- (* d2 d2) (* (+ 3 d3) (+ 3 d3))) d1) (- d2 (+ 3 d3)))

series192.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* (+ 3 d3) (+ 3 d3))
36.0ms	(- (* d2 d2) (* (+ 3 d3) (+ 3 d3)))
62.0ms	(* (- (* d2 d2) (* (+ 3 d3) (+ 3 d3))) d1)
73.0ms	(/ (* (- (* d2 d2) (* (+ 3 d3) (+ 3 d3))) d1) (- d2 (+ 3 d3)))

simplify2.4s

Counts

133 → 133

Iterations

Iter	Nodes
done	5000
2	2149
1	591
0	192

prune585.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes175.0ms

Accuracy

0% (0.1b 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

sample1.4s

Algorithm

intervals

Results

882.0ms	9481×	body	80	valid
64.0ms	210×	body	640	valid
59.0ms	99×	body	1280	valid
33.0ms	139×	body	320	valid
12.0ms	79×	body	160	valid