Details

sample21.0ms

Algorithm

intervals

Results

9.0ms

339×

body

valid

simplify3.1s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	24	9
3	52	9
4	83	9
5	107	9
6	129	9
7	152	9
8	193	9
9	259	9
10	345	9
11	382	9
12	433	9
13	468	9
14	504	9
15	594	9
16	826	9
17	1115	9
18	1668	9
19	2160	9
20	2219	9
done	2219	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.2b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (- y x) (/ z t)))
5.2b	(* (- y x) (/ z t))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`associate-r`
12×	`*-un-lft-identity`
10×	`add-cube-cbrt` `times-frac`
7×	`add-exp-log` `add-cbrt-cube`
5×	`associate-l`
4×	`pow1` `add-log-exp`
2×	`frac-times` `flip3--` `associate-*l/` `prod-exp` `flip--` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `flip3-+` `associate-r/` `div-exp` `pow-prod-down` `sum-log` `-commutative` `flip-+` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 49

Calls

2 calls:

2.0ms	(+ x (* (- y x) (/ z t)))
16.0ms	(* (- y x) (/ z t))

series83.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(+ x (* (- y x) (/ z t)))
43.0ms	(* (- y x) (/ z t))

simplify2.5s

Counts

55 → 55

Iterations

Useful iterations: 3 (1.6s)

Iter	Nodes	Cost
0	115	669
1	297	627
2	1058	581
3	4937	557
done	5000	557

prune129.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- y x))
0.5b	(cbrt (- y x))
2.5b	(* (* (cbrt (- y x)) (cbrt (- y x))) (* (cbrt (- y x)) (/ z t)))
2.9b	(* (cbrt (- y x)) (/ z t))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

116×	`cbrt-div`
84×	`frac-times`
58×	`flip3--` `flip--`
40×	`associate-*l/`
31×	`add-sqr-sqrt`
30×	`add-exp-log`
27×	`associate-*r/`
21×	`*-un-lft-identity`
18×	`pow1` `add-cbrt-cube`
17×	`cbrt-prod`
15×	`add-cube-cbrt` `prod-exp` `cbrt-unprod`
14×	`associate-r`
11×	`times-frac`
9×	`associate-l` `pow-prod-down`
4×	`add-log-exp` `unswap-sqr`
3×	`cbrt-undiv` `div-exp` `distribute-lft-out--` `difference-of-squares`
2×	`pow1/3` `*-commutative`
1×	`div-inv`

Counts

4 → 152

Calls

4 calls:

2.0ms	(cbrt (- y x))
4.0ms	(cbrt (- y x))
49.0ms	(* (* (cbrt (- y x)) (cbrt (- y x))) (* (cbrt (- y x)) (/ z t)))
17.0ms	(* (cbrt (- y x)) (/ z t))

series538.0ms

Counts

4 → 12

Calls

4 calls:

152.0ms	(cbrt (- y x))
148.0ms	(cbrt (- y x))
43.0ms	(* (* (cbrt (- y x)) (cbrt (- y x))) (* (cbrt (- y x)) (/ z t)))
195.0ms	(* (cbrt (- y x)) (/ z t))

simplify922.0ms

Counts

164 → 164

Iterations

Useful iterations: 2 (354.0ms)

Iter	Nodes	Cost
0	276	3800
1	759	3651
2	2051	3249
done	5001	3249

prune445.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ t (- y x))
0.0b	(+ x (/ z (/ t (- y x))))
3.7b	(/ z (/ t (- y x)))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
105×	`*-un-lft-identity`
103×	`add-sqr-sqrt`
71×	`add-cube-cbrt`
26×	`associate-/r*`
16×	`distribute-lft-out--` `difference-of-squares`
11×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube`
6×	`div-inv` `associate-/l*`
5×	`flip3--` `flip--` `add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1`
2×	`frac-2neg` `clear-num`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 151

Calls

3 calls:

5.0ms	(/ t (- y x))
31.0ms	(+ x (/ z (/ t (- y x))))
10.0ms	(/ z (/ t (- y x)))

series121.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(/ t (- y x))
40.0ms	(+ x (/ z (/ t (- y x))))
52.0ms	(/ z (/ t (- y x)))

simplify785.0ms

Counts

160 → 160

Iterations

Useful iterations: 2 (199.0ms)

Iter	Nodes	Cost
0	242	2291
1	541	2136
2	1789	2056
done	5001	2056

prune382.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ t (- y x))
0.0b	(+ x (* z (/ 1 (/ t (- y x)))))
0.3b	(/ 1 (/ t (- y x)))
3.8b	(* z (/ 1 (/ t (- y x))))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

252×	`times-frac`
186×	`add-sqr-sqrt`
174×	`*-un-lft-identity`
122×	`add-cube-cbrt`
68×	`associate-r`
36×	`add-exp-log`
26×	`associate-/r*`
25×	`distribute-lft-out--` `difference-of-squares`
20×	`add-cbrt-cube`
18×	`associate-/r/`
15×	`div-exp`
10×	`div-inv`
8×	`flip3--` `flip--`
7×	`pow1` `cbrt-undiv` `prod-exp`
6×	`associate-/l*` `add-log-exp`
5×	`unswap-sqr`
4×	`rec-exp` `1-exp`
3×	`associate-l` `cbrt-unprod`
2×	`frac-2neg` `clear-num`
1×	`+-commutative` `pow-flip` `flip3-+` `associate-r/` `pow-prod-down` `sum-log` `un-div-inv` `-commutative` `flip-+` `inv-pow`

Counts

4 → 253

Calls

4 calls:

5.0ms	(/ t (- y x))
2.0ms	(+ x (* z (/ 1 (/ t (- y x)))))
11.0ms	(/ 1 (/ t (- y x)))
40.0ms	(* z (/ 1 (/ t (- y x))))

series160.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(/ t (- y x))
36.0ms	(+ x (* z (/ 1 (/ t (- y x)))))
32.0ms	(/ 1 (/ t (- y x)))
58.0ms	(* z (/ 1 (/ t (- y x))))

simplify1.1s

Counts

265 → 265

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	317	3658
1	770	2890
2	1557	2601
done	5000	2525

prune475.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes195.0ms

Accuracy

-0.5% (2.2b remaining)

Error of 2.2b against oracle of 0.0b and baseline of 2.2b

bsearch35.0ms

Steps

Iters	Range		Point
9	-4.094505639709548e-92	-5.935344559987833e-100	-4.0164937919145246e-92

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	22
1	17	22
done	17	22

end0.0ms

sample563.0ms

Algorithm

intervals

Results

285.0ms

10619×

body

valid