Details

sample18.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify11.0ms

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.9b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* 1.1283791670955126 (exp z))
0.8b	(- (* 1.1283791670955126 (exp z)) (* x y))
8.9b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
7×	`add-cbrt-cube`
6×	`add-exp-log`
5×	`pow1` `add-log-exp`
3×	`expm1-log1p-u` `associate-r` `associate-l` `associate-/r` `log1p-expm1-u` `associate-/l`
2×	`flip3--` `associate-/r/` `flip--`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `fma-neg` `diff-log` `div-exp` `prod-diff` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

3 → 67

Calls

3 calls:

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

series165.0ms

Counts

3 → 9

Calls

3 calls:

19.0ms	(* 1.1283791670955126 (exp z))
67.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
80.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify1.5s

Counts

76 → 76

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	129	955
1	289	918
2	750	850
3	1958	848
done	5000	845

prune227.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.9b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 1.1283791670955126 (exp z))
0.1b	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
0.8b	(- (* 1.1283791670955126 (exp z)) (* x y))
8.8b	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
58×	`add-sqr-sqrt`
56×	`add-cube-cbrt` `*-un-lft-identity`
18×	`add-exp-log`
16×	`associate-/r*`
13×	`add-cbrt-cube`
8×	`div-exp`
7×	`pow1`
6×	`div-inv` `associate-/l*` `add-log-exp`
4×	`cbrt-undiv` `expm1-log1p-u` `log1p-expm1-u`
3×	`associate-r` `associate-l`
2×	`rec-exp` `flip3--` `frac-2neg` `1-exp` `clear-num` `flip--` `associate-/l/`
1×	`sub-neg` `pow-flip` `fma-neg` `diff-log` `div-sub` `prod-diff` `pow-prod-down` `prod-exp` `associate-/r/` `*-commutative` `cbrt-unprod` `inv-pow` `unswap-sqr`

Counts

4 → 146

Calls

4 calls:

5.0ms	(* 1.1283791670955126 (exp z))
11.0ms	(/ 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)

series221.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* 1.1283791670955126 (exp z))
58.0ms	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
62.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
82.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

simplify2.3s

Counts

158 → 158

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	235	2711
1	549	2506
2	1368	2281
3	3757	2201
done	5000	2198

prune365.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (/ (exp z) (/ y 1.1283791670955126)) (* x 1))
0.1b	(/ 1 (- (/ (exp z) (/ y 1.1283791670955126)) (* x 1)))
0.2b	(/ (exp z) (/ y 1.1283791670955126))

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

216×	`times-frac`
123×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
44×	`fma-neg` `prod-diff`
16×	`associate-/r*`
14×	`div-inv`
10×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/l*`
5×	`div-exp` `associate-/r/` `add-log-exp`
4×	`pow1` `cbrt-undiv`
3×	`expm1-log1p-u` `log1p-expm1-u`
2×	`flip3--` `frac-2neg` `clear-num` `flip--`
1×	`sub-neg` `rec-exp` `pow-flip` `diff-log` `1-exp` `inv-pow`

Counts

3 → 209

Calls

3 calls:

47.0ms	(- (/ (exp z) (/ y 1.1283791670955126)) (* x 1))
39.0ms	(/ 1 (- (/ (exp z) (/ y 1.1283791670955126)) (* x 1)))
6.0ms	(/ (exp z) (/ y 1.1283791670955126))

series153.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(- (/ (exp z) (/ y 1.1283791670955126)) (* x 1))
76.0ms	(/ 1 (- (/ (exp z) (/ y 1.1283791670955126)) (* x 1)))
24.0ms	(/ (exp z) (/ y 1.1283791670955126))

simplify1.1s

Counts

218 → 218

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	292	3439
1	686	2812
2	2142	2677
done	5001	2625

prune678.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (- (/ (* 1.1283791670955126 (exp z)) y) (/ x 1))) (cbrt (- (/ (* 1.1283791670955126 (exp z)) y) (/ x 1))))
0.4b	(cbrt (- (/ (* 1.1283791670955126 (exp z)) y) (/ x 1)))
0.4b	(cbrt (- (/ (* 1.1283791670955126 (exp z)) y) (/ x 1)))
0.4b	(cbrt (- (/ (* 1.1283791670955126 (exp z)) y) (/ x 1)))

rewrite143.0ms

Algorithm

rewrite-expression-head

Rules

72×	`add-sqr-sqrt`
57×	`cbrt-prod`
42×	`*-un-lft-identity`
33×	`cbrt-div`
21×	`difference-of-squares`
15×	`add-cube-cbrt`
14×	`times-frac`
12×	`swap-sqr`
11×	`pow1` `flip3--` `frac-sub` `flip--`
10×	`associate-r` `associate-l`
9×	`frac-times` `pow1/3` `distribute-lft-out--`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`associate-r/` `associate-l/`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 131

Calls

4 calls:

99.0ms	(* (cbrt (- (/ (* 1.1283791670955126 (exp z)) y) (/ x 1))) (cbrt (- (/ (* 1.1283791670955126 (exp z)) y) (/ x 1))))
12.0ms	(cbrt (- (/ (* 1.1283791670955126 (exp z)) y) (/ x 1)))
14.0ms	(cbrt (- (/ (* 1.1283791670955126 (exp z)) y) (/ x 1)))
12.0ms	(cbrt (- (/ (* 1.1283791670955126 (exp z)) y) (/ x 1)))

series595.0ms

Counts

4 → 12

Calls

4 calls:

137.0ms	(* (cbrt (- (/ (* 1.1283791670955126 (exp z)) y) (/ x 1))) (cbrt (- (/ (* 1.1283791670955126 (exp z)) y) (/ x 1))))
153.0ms	(cbrt (- (/ (* 1.1283791670955126 (exp z)) y) (/ x 1)))
150.0ms	(cbrt (- (/ (* 1.1283791670955126 (exp z)) y) (/ x 1)))
154.0ms	(cbrt (- (/ (* 1.1283791670955126 (exp z)) y) (/ x 1)))

simplify2.0s

Counts

143 → 143

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	229	4121
1	514	3352
2	1402	3161
3	4945	2840
done	5000	2840

prune583.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes100.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	12	14
1	16	12
done	16	12

end0.0ms

sample425.0ms

Algorithm

intervals

Results

255.0ms

8000×

body

valid