Details

sample17.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify10.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	12
1	16	12
2	24	12
3	28	12
done	28	12

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.8b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
0.6b	(- (* 1.1283791670955126 (exp z)) (* x y))
6.2b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

14×	`*-un-lft-identity`
12×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`times-frac`
7×	`add-log-exp`
5×	`add-exp-log` `add-cbrt-cube`
3×	`pow1` `expm1-log1p-u` `fma-def` `associate-/r` `log1p-expm1-u` `associate-/l`
2×	`flip3--` `associate-/r/` `flip--`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `frac-2neg` `flip3-+` `fma-neg` `diff-log` `div-exp` `prod-diff` `clear-num` `sum-log` `flip-+` `div-inv` `distribute-lft-out`

Counts

3 → 64

Calls

3 calls:

16.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
4.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
8.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series161.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
57.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
70.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify966.0ms

Counts

73 → 73

Iterations

Useful iterations: done (964.0ms)

Iter	Nodes	Cost
0	128	1105
1	311	1048
2	855	982
3	2347	979
done	5001	977

prune199.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)))
0.1b	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
0.6b	(- (* 1.1283791670955126 (exp z)) (* x y))
6.1b	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
58×	`*-un-lft-identity`
55×	`add-sqr-sqrt` `add-cube-cbrt`
17×	`add-exp-log`
16×	`associate-/r*`
11×	`add-cbrt-cube`
8×	`div-exp` `add-log-exp`
7×	`div-inv`
6×	`associate-/l*`
5×	`pow1`
4×	`cbrt-undiv` `expm1-log1p-u` `log1p-expm1-u`
3×	`fma-def`
2×	`rec-exp` `flip3--` `frac-2neg` `1-exp` `clear-num` `flip--` `associate-/l/` `distribute-lft-out`
1×	`+-commutative` `sub-neg` `pow-flip` `flip3-+` `fma-neg` `diff-log` `div-sub` `prod-diff` `sum-log` `associate-/r/` `flip-+` `inv-pow`

Counts

4 → 144

Calls

4 calls:

24.0ms	(+ x (/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)))
10.0ms	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
4.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
12.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

series219.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(+ x (/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)))
50.0ms	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
58.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
70.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

simplify2.1s

Counts

156 → 156

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	235	2917
1	574	2643
2	1373	2366
3	3850	2258
done	5001	2256

prune319.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (sqrt 1) (- (* 1.1283791670955126 (/ (exp z) y)) x)))
0.0b	(/ (exp z) y)
0.1b	(/ (sqrt 1) (- (* 1.1283791670955126 (/ (exp z) y)) x))
0.1b	(* 1.1283791670955126 (/ (exp z) y))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
38×	`*-un-lft-identity`
37×	`times-frac`
36×	`add-cube-cbrt`
13×	`associate-r` `add-cbrt-cube`
12×	`sqrt-prod`
11×	`add-exp-log`
9×	`associate-/l*`
6×	`pow1` `associate-/r*` `add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`cbrt-undiv` `fma-def` `div-exp` `associate-l` `div-inv`
2×	`frac-2neg` `prod-exp` `clear-num` `associate-/r/` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `flip3--` `flip3-+` `associate-r/` `pow-prod-down` `sum-log` `-commutative` `flip--` `flip-+` `distribute-lft-out`

Counts

4 → 123

Calls

4 calls:

23.0ms	(+ x (/ (sqrt 1) (- (* 1.1283791670955126 (/ (exp z) y)) x)))
3.0ms	(/ (exp z) y)
11.0ms	(/ (sqrt 1) (- (* 1.1283791670955126 (/ (exp z) y)) x))
11.0ms	(* 1.1283791670955126 (/ (exp z) y))

series142.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(+ x (/ (sqrt 1) (- (* 1.1283791670955126 (/ (exp z) y)) x)))
16.0ms	(/ (exp z) y)
64.0ms	(/ (sqrt 1) (- (* 1.1283791670955126 (/ (exp z) y)) x))
21.0ms	(* 1.1283791670955126 (/ (exp z) y))

simplify1.4s

Counts

135 → 135

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	209	1813
1	470	1585
2	1105	1483
3	3146	1474
done	5000	1473

prune315.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ y (sqrt (exp z)))
0.0b	(/ (sqrt (exp z)) (/ y (sqrt (exp z))))
0.1b	(/ (sqrt 1) (- (* 1.1283791670955126 (/ (sqrt (exp z)) (/ y (sqrt (exp z))))) x))
0.1b	(* 1.1283791670955126 (/ (sqrt (exp z)) (/ y (sqrt (exp z)))))

rewrite130.0ms

Algorithm

rewrite-expression-head

Rules

544×	`times-frac`
319×	`add-sqr-sqrt`
295×	`add-cube-cbrt` `*-un-lft-identity`
281×	`sqrt-prod`
137×	`associate-r`
31×	`associate-/r*`
22×	`add-exp-log` `add-cbrt-cube`
17×	`div-inv`
15×	`associate-/l*`
8×	`cbrt-undiv` `div-exp`
7×	`unswap-sqr`
6×	`pow1`
4×	`expm1-log1p-u` `associate-/r/` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `associate-l` `prod-exp` `clear-num` `cbrt-unprod`
1×	`flip3--` `associate-r/` `pow-prod-down` `-commutative` `flip--`

Counts

4 → 426

Calls

4 calls:

4.0ms	(/ y (sqrt (exp z)))
14.0ms	(/ (sqrt (exp z)) (/ y (sqrt (exp z))))
34.0ms	(/ (sqrt 1) (- (* 1.1283791670955126 (/ (sqrt (exp z)) (/ y (sqrt (exp z))))) x))
53.0ms	(* 1.1283791670955126 (/ (sqrt (exp z)) (/ y (sqrt (exp z)))))

series149.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(/ y (sqrt (exp z)))
17.0ms	(/ (sqrt (exp z)) (/ y (sqrt (exp z))))
71.0ms	(/ (sqrt 1) (- (* 1.1283791670955126 (/ (sqrt (exp z)) (/ y (sqrt (exp z))))) x))
21.0ms	(* 1.1283791670955126 (/ (sqrt (exp z)) (/ y (sqrt (exp z)))))

simplify1.4s

Counts

438 → 438

Iterations

Useful iterations: 2 (733.0ms)

Iter	Nodes	Cost
0	489	8133
1	1145	7010
2	3584	5926
done	5001	5926

prune873.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes124.0ms

Accuracy

0% (0.0b 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	14	18
1	18	18
done	18	18

end0.0ms

sample414.0ms

Algorithm

intervals

Results

252.0ms

8000×

body

valid