Details

sample27.0ms

Algorithm

intervals

Results

12.0ms	307×	body	80	valid
1.0ms	5×	body	1280	valid
1.0ms	6×	body	640	valid
1.0ms	5×	body	320	valid
0.0ms	1×	body	160	valid

simplify77.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	9	11
1	19	9
2	45	7
3	72	7
4	83	7
5	84	7
done	84	7

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 1 expressions with local error:

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

rewrite81.0ms

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:

80.0ms

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

series55.0ms

Counts

1 → 3

Calls

1 calls:

54.0ms

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

simplify2.0s

Counts

29 → 29

Iterations

Useful iterations: 2 (96.0ms)

Iter	Nodes	Cost
0	53	281
1	155	265
2	576	234
3	2961	234
done	5001	234

prune57.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 38

Calls

2 calls:

39.0ms	(* (+ 3.0 d2) d1)
17.0ms	(+ (* d3 d1) (* (+ 3.0 d2) d1))

series88.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(* (+ 3.0 d2) d1)
48.0ms	(+ (* d3 d1) (* (+ 3.0 d2) d1))

simplify2.7s

Counts

44 → 44

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	73	435
1	208	370
2	766	338
3	3237	337
done	5000	336

prune184.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite227.0ms

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×	`associate-r` `pow-prod-down` `add-cbrt-cube`
10×	`associate-*r/` `prod-exp` `cbrt-unprod`
9×	`swap-sqr`
8×	`distribute-lft-out`
7×	`pow1/3`
6×	`unswap-sqr`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
2×	`pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus`

Counts

4 → 148

Calls

4 calls:

4.0ms	(cbrt (+ 3.0 d2))
68.0ms	(* (cbrt (+ 3.0 d2)) (cbrt (+ 3.0 d2)))
40.0ms	(* (cbrt (+ 3.0 d2)) d1)
108.0ms	(* (* (cbrt (+ 3.0 d2)) (cbrt (+ 3.0 d2))) (* (cbrt (+ 3.0 d2)) d1))

series636.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(cbrt (+ 3.0 d2))
179.0ms	(* (cbrt (+ 3.0 d2)) (cbrt (+ 3.0 d2)))
322.0ms	(* (cbrt (+ 3.0 d2)) d1)
40.0ms	(* (* (cbrt (+ 3.0 d2)) (cbrt (+ 3.0 d2))) (* (cbrt (+ 3.0 d2)) d1))

simplify1.8s

Counts

160 → 160

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	265	2917
1	697	2704
2	2022	2365
done	5001	2161

prune591.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (/ (cbrt (- (* 3.0 3.0) (* d2 d2))) (cbrt (- 3.0 d2))) d1)
0.3b	(* (* (cbrt (+ 3.0 d2)) (cbrt (+ 3.0 d2))) (* (/ (cbrt (- (* 3.0 3.0) (* d2 d2))) (cbrt (- 3.0 d2))) d1))
0.7b	(/ (cbrt (- (* 3.0 3.0) (* d2 d2))) (cbrt (- 3.0 d2)))
12.8b	(cbrt (- (* 3.0 3.0) (* d2 d2)))

rewrite290.0ms

Algorithm

rewrite-expression-head

Rules

151×	`cbrt-prod`
116×	`times-frac`
115×	`add-sqr-sqrt`
101×	`*-un-lft-identity`
71×	`add-cube-cbrt`
63×	`associate-l`
33×	`difference-of-squares`
32×	`add-exp-log` `cbrt-div`
22×	`associate-*l/`
18×	`pow1` `add-cbrt-cube`
16×	`frac-times`
15×	`prod-exp` `cbrt-unprod` `distribute-lft-out--`
12×	`flip3-+` `flip-+`
9×	`pow-prod-down`
8×	`associate-/r*`
7×	`associate-/l*`
5×	`associate-*r/` `unswap-sqr`
4×	`cbrt-undiv` `expm1-log1p-u` `flip3--` `div-exp` `associate-r` `associate-/r/` `flip--` `log1p-expm1-u` `add-log-exp`
2×	`*-commutative` `div-inv` `associate-/l/`
1×	`frac-2neg` `pow1/3` `clear-num`

Counts

4 → 236

Calls

4 calls:

76.0ms	(* (/ (cbrt (- (* 3.0 3.0) (* d2 d2))) (cbrt (- 3.0 d2))) d1)
163.0ms	(* (* (cbrt (+ 3.0 d2)) (cbrt (+ 3.0 d2))) (* (/ (cbrt (- (* 3.0 3.0) (* d2 d2))) (cbrt (- 3.0 d2))) d1))
25.0ms	(/ (cbrt (- (* 3.0 3.0) (* d2 d2))) (cbrt (- 3.0 d2)))
6.0ms	(cbrt (- (* 3.0 3.0) (* d2 d2)))

series1.4s

Counts

4 → 12

Calls

4 calls:

401.0ms	(* (/ (cbrt (- (* 3.0 3.0) (* d2 d2))) (cbrt (- 3.0 d2))) d1)
477.0ms	(* (* (cbrt (+ 3.0 d2)) (cbrt (+ 3.0 d2))) (* (/ (cbrt (- (* 3.0 3.0) (* d2 d2))) (cbrt (- 3.0 d2))) d1))
190.0ms	(/ (cbrt (- (* 3.0 3.0) (* d2 d2))) (cbrt (- 3.0 d2)))
288.0ms	(cbrt (- (* 3.0 3.0) (* d2 d2)))

simplify2.9s

Counts

248 → 248

Iterations

Useful iterations: done (2.9s)

Iter	Nodes	Cost
0	422	5856
1	1030	5597
2	3066	5187
done	5000	4990

prune1.2s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes89.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample1.1s

Algorithm

intervals

Results

706.0ms	9527×	body	80	valid
43.0ms	214×	body	640	valid
22.0ms	89×	body	1280	valid
21.0ms	144×	body	320	valid
8.0ms	82×	body	160	valid