Details

sample23.0ms

Algorithm

intervals

Results

11.0ms

337×

body

valid

simplify6.0s

Counts

1 → 1

Iterations

Useful iterations: 3 (7.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	25	9
3	47	8
4	85	8
5	131	8
6	172	8
7	203	8
8	245	8
9	343	8
10	453	8
11	516	8
12	583	8
13	628	8
14	668	8
15	768	8
16	1028	8
17	1337	8
18	1936	8
19	2475	8
20	2575	8
21	2581	8
done	2581	8

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 1 expressions with local error:

1.2b	(fma (/ y t) (- z x) x)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma (/ y t) (- z x) x)

series27.0ms

Counts

1 → 3

Calls

1 calls:

27.0ms

(fma (/ y t) (- z x) x)

simplify730.0ms

Counts

13 → 13

Iterations

Useful iterations: 3 (28.0ms)

Iter	Nodes	Cost
0	23	154
1	40	154
2	91	138
3	218	123
4	980	123
done	5000	123

prune35.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ t (- z x))
0.0b	(+ (/ y (/ t (- z x))) x)
6.5b	(/ y (/ t (- z x)))

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

246×	`times-frac`
172×	`*-un-lft-identity`
170×	`add-sqr-sqrt`
120×	`add-cube-cbrt`
68×	`fma-def`
26×	`associate-/r*`
25×	`distribute-lft-out--` `difference-of-squares`
18×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube` `div-inv`
8×	`flip3--` `flip--`
6×	`associate-/l*`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
2×	`frac-2neg` `clear-num`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 225

Calls

3 calls:

6.0ms	(/ t (- z x))
65.0ms	(+ (/ y (/ t (- z x))) x)
10.0ms	(/ y (/ t (- z x)))

series119.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(/ t (- z x))
31.0ms	(+ (/ y (/ t (- z x))) x)
56.0ms	(/ y (/ t (- z x)))

simplify939.0ms

Counts

234 → 234

Iterations

Useful iterations: 2 (196.0ms)

Iter	Nodes	Cost
0	248	2339
1	550	2186
2	1810	2093
done	5000	2093

prune618.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (/ (* z y) t) (/ (* x y) t)) x)
0.0b	(- (/ (* z y) t) (/ (* x y) t))
7.6b	(/ (* z y) t)
7.7b	(/ (* x y) t)

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

105×	`times-frac`
98×	`prod-diff`
80×	`*-un-lft-identity`
75×	`add-sqr-sqrt`
71×	`add-cube-cbrt`
51×	`associate-+l+`
35×	`div-inv`
14×	`add-exp-log` `add-cbrt-cube`
11×	`add-log-exp`
9×	`fma-def`
8×	`distribute-rgt-out--`
7×	`fma-neg`
6×	`associate-/r*`
4×	`pow1` `cbrt-undiv` `expm1-log1p-u` `div-exp` `log1p-expm1-u`
3×	`distribute-lft-out--`
2×	`sub-neg` `frac-2neg` `diff-log` `prod-exp` `clear-num` `sum-log` `cbrt-unprod` `distribute-lft-out` `associate-/l*` `difference-of-squares`
1×	`+-commutative` `associate-+l-` `flip3--` `flip3-+` `frac-sub` `flip--` `flip-+` `sub-div`

Counts

4 → 201

Calls

4 calls:

70.0ms	(+ (- (/ (* z y) t) (/ (* x y) t)) x)
13.0ms	(- (/ (* z y) t) (/ (* x y) t))
3.0ms	(/ (* z y) t)
3.0ms	(/ (* x y) t)

series116.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(+ (- (/ (* z y) t) (/ (* x y) t)) x)
45.0ms	(- (/ (* z y) t) (/ (* x y) t))
19.0ms	(/ (* z y) t)
20.0ms	(/ (* x y) t)

simplify833.0ms

Counts

213 → 213

Iterations

Useful iterations: done (827.0ms)

Iter	Nodes	Cost
0	220	4600
1	536	3659
2	1723	2912
done	5000	2898

prune526.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
2.0b	(* (/ x (* (cbrt t) (cbrt t))) (+ (- (/ y (cbrt t))) (/ y (cbrt t))))
3.4b	(fma (/ z 1) (/ y t) (- (* (/ y (cbrt t)) (/ x (* (cbrt t) (cbrt t))))))
4.1b	(* (/ y (cbrt t)) (/ x (* (cbrt t) (cbrt t))))

rewrite320.0ms

Algorithm

rewrite-expression-head

Rules

136×	`times-frac`
119×	`*-un-lft-identity`
103×	`add-sqr-sqrt`
95×	`add-cube-cbrt`
78×	`associate-r`
66×	`cbrt-prod`
41×	`distribute-lft-neg-in` `distribute-rgt-out`
34×	`add-exp-log`
29×	`associate-l`
25×	`add-cbrt-cube`
23×	`distribute-lft-out`
22×	`distribute-rgt-neg-in`
12×	`prod-exp` `cbrt-unprod`
9×	`cbrt-undiv` `div-exp`
8×	`pow1` `unswap-sqr`
7×	`div-inv`
4×	`expm1-log1p-u` `frac-times` `neg-mul-1` `distribute-lft1-in` `associate-*r/` `log1p-expm1-u` `add-log-exp`
2×	`flip3-+` `pow-prod-down` `associate-l/` `frac-add` `-commutative` `flip-+` `distribute-neg-frac`
1×	`distribute-rgt-in` `distribute-lft-in` `pow1/3` `fma-udef`

Counts

4 → 190

Calls

4 calls:

1.0ms	(cbrt t)
283.0ms	(* (/ x (* (cbrt t) (cbrt t))) (+ (- (/ y (cbrt t))) (/ y (cbrt t))))
0.0ms	(fma (/ z 1) (/ y t) (- (* (/ y (cbrt t)) (/ x (* (cbrt t) (cbrt t))))))
23.0ms	(* (/ y (cbrt t)) (/ x (* (cbrt t) (cbrt t))))

series302.0ms

Counts

4 → 12

Calls

4 calls:

176.0ms	(cbrt t)
2.0ms	(* (/ x (* (cbrt t) (cbrt t))) (+ (- (/ y (cbrt t))) (/ y (cbrt t))))
70.0ms	(fma (/ z 1) (/ y t) (- (* (/ y (cbrt t)) (/ x (* (cbrt t) (cbrt t))))))
52.0ms	(* (/ y (cbrt t)) (/ x (* (cbrt t) (cbrt t))))

simplify1.7s

Counts

202 → 202

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	275	3257
1	855	3076
2	3792	1930
done	5000	1920

prune828.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes94.0ms

Accuracy

0% (2.0b remaining)

Error of 2.0b against oracle of 0.0b and baseline of 2.0b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
done	7	8

end0.0ms

sample564.0ms

Algorithm

intervals

Results

290.0ms

10571×

body

valid