Details

sample29.0ms

Algorithm

intervals

Results

14.0ms

304×

body

valid

simplify118.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	12
1	16	12
2	29	12
3	42	12
4	49	12
5	55	12
6	60	12
7	62	12
done	62	12

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.0b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (/ (+ x 4.0) y) (* (/ x y) z))
0.0b	(/ (+ x 4.0) y)
3.7b	(* (/ x y) z)

rewrite162.0ms

Algorithm

rewrite-expression-head

Rules

56×	`*-un-lft-identity`
46×	`times-frac`
41×	`add-sqr-sqrt`
36×	`add-cube-cbrt`
16×	`fma-neg` `prod-diff`
13×	`associate-l`
10×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out`
5×	`pow1` `add-log-exp`
4×	`div-inv` `associate-/l*`
3×	`expm1-log1p-u` `associate-r` `associate-l/` `associate-/r` `log1p-expm1-u`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `associate-/l/` `unswap-sqr`
1×	`sub-neg` `flip3--` `frac-2neg` `flip3-+` `diff-log` `pow-prod-down` `clear-num` `*-commutative` `frac-sub` `flip--` `flip-+` `sub-div`

Counts

3 → 117

Calls

3 calls:

86.0ms	(- (/ (+ x 4.0) y) (* (/ x y) z))
34.0ms	(/ (+ x 4.0) y)
32.0ms	(* (/ x y) z)

series132.0ms

Counts

3 → 9

Calls

3 calls:

64.0ms	(- (/ (+ x 4.0) y) (* (/ x y) z))
43.0ms	(/ (+ x 4.0) y)
25.0ms	(* (/ x y) z)

simplify3.0s

Counts

126 → 126

Iterations

Useful iterations: done (3.0s)

Iter	Nodes	Cost
0	165	1542
1	398	1481
2	1155	1348
3	3741	1275
done	5000	1256

prune455.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ y (+ x 4.0))
0.0b	(- (/ 1 (/ y (+ x 4.0))) (* (/ x y) z))
0.1b	(/ 1 (/ y (+ x 4.0)))
3.7b	(* (/ x y) z)

rewrite287.0ms

Algorithm

rewrite-expression-head

Rules

304×	`times-frac`
226×	`*-un-lft-identity`
163×	`add-sqr-sqrt`
158×	`add-cube-cbrt`
59×	`fma-neg` `prod-diff`
34×	`distribute-lft-out`
25×	`associate-/r/`
22×	`add-exp-log` `associate-/r*`
16×	`add-cbrt-cube`
15×	`div-inv`
13×	`associate-l`
11×	`flip3-+` `flip-+`
9×	`div-exp`
7×	`pow1`
6×	`associate-/l*` `add-log-exp`
5×	`cbrt-undiv`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`associate-r`
2×	`rec-exp` `frac-2neg` `1-exp` `associate-*l/` `prod-exp` `clear-num` `cbrt-unprod` `unswap-sqr`
1×	`sub-neg` `flip3--` `pow-flip` `diff-log` `pow-prod-down` `*-commutative` `frac-sub` `flip--` `inv-pow`

Counts

4 → 300

Calls

4 calls:

20.0ms	(/ y (+ x 4.0))
190.0ms	(- (/ 1 (/ y (+ x 4.0))) (* (/ x y) z))
25.0ms	(/ 1 (/ y (+ x 4.0)))
15.0ms	(* (/ x y) z)

series200.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(/ y (+ x 4.0))
74.0ms	(- (/ 1 (/ y (+ x 4.0))) (* (/ x y) z))
38.0ms	(/ 1 (/ y (+ x 4.0)))
35.0ms	(* (/ x y) z)

simplify1.3s

Counts

312 → 312

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	336	5044
1	794	4471
2	1890	3842
done	5001	3673

prune891.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* (+ x 4.0) (/ 1 y)) (* (/ x y) z))
0.1b	(* (+ x 4.0) (/ 1 y))
3.7b	(* (/ x y) z)

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
21×	`times-frac`
19×	`add-cube-cbrt`
17×	`add-exp-log` `associate-l`
16×	`associate-r`
13×	`associate-*l/` `add-cbrt-cube`
7×	`pow1`
6×	`prod-exp` `frac-sub`
5×	`add-log-exp` `unswap-sqr`
4×	`frac-times` `flip3-+` `cbrt-unprod` `flip-+`
3×	`expm1-log1p-u` `associate-*r/` `div-exp` `un-div-inv` `log1p-expm1-u`
2×	`cbrt-undiv` `pow-prod-down` `*-commutative` `div-inv` `sub-div`
1×	`sub-neg` `rec-exp` `flip3--` `fma-neg` `diff-log` `1-exp` `prod-diff` `flip--` `distribute-lft-out`

Counts

3 → 101

Calls

3 calls:

32.0ms	(- (* (+ x 4.0) (/ 1 y)) (* (/ x y) z))
47.0ms	(* (+ x 4.0) (/ 1 y))
30.0ms	(* (/ x y) z)

series110.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(- (* (+ x 4.0) (/ 1 y)) (* (/ x y) z))
28.0ms	(* (+ x 4.0) (/ 1 y))
32.0ms	(* (/ x y) z)

simplify1.6s

Counts

110 → 110

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	201	1312
1	524	1101
2	1625	989
done	5000	974

prune426.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (/ x y)) (cbrt (/ x y)))
7.8b	(cbrt (/ x y))
7.8b	(cbrt (/ x y))
7.8b	(cbrt (/ x y))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

103×	`cbrt-prod`
81×	`add-sqr-sqrt`
69×	`times-frac`
57×	`add-cube-cbrt` `*-un-lft-identity`
16×	`swap-sqr` `associate-r` `associate-l`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `div-inv`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 152

Calls

4 calls:

33.0ms	(* (cbrt (/ x y)) (cbrt (/ x y)))
2.0ms	(cbrt (/ x y))
4.0ms	(cbrt (/ x y))
5.0ms	(cbrt (/ x y))

series328.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(* (cbrt (/ x y)) (cbrt (/ x y)))
73.0ms	(cbrt (/ x y))
72.0ms	(cbrt (/ x y))
78.0ms	(cbrt (/ x y))

simplify3.1s

Counts

164 → 164

Iterations

Useful iterations: done (3.1s)

Iter	Nodes	Cost
0	165	1926
1	265	1797
2	672	1725
3	1363	1647
4	3234	1562
done	5001	1476

prune729.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes126.0ms

Accuracy

76.1% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 1.6b

bsearch73.0ms

Steps

Iters	Range		Point
7	84517967325.35463	1810750790637.4219	214190368136.35208
5	-2.294626366488831e+97	-1.033466382081211e+97	-1.1091102582946148e+97

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	44
1	33	44
done	33	44

end0.0ms

sample1.6s

Algorithm

intervals

Results

1.1s

10019×

body

valid