Details

sample44.0ms

Algorithm

intervals

Results

19.0ms

256×

body

valid

simplify36.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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: 2.6b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(* 1.1283791670955126 (exp z))
0.6b	(- (* 1.1283791670955126 (exp z)) (* x y))
7.5b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite68.0ms

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:

17.0ms	(* 1.1283791670955126 (exp z))
15.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
34.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series249.0ms

Counts

3 → 9

Calls

3 calls:

23.0ms	(* 1.1283791670955126 (exp z))
100.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
127.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify871.0ms

Counts

76 → 76

Iterations

Useful iterations: 2 (235.0ms)

Iter	Nodes	Cost
0	129	955
1	307	918
2	1060	850
done	5000	850

prune410.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 1.7b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 1.1283791670955126 (exp z))
0.1b	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
0.6b	(- (* 1.1283791670955126 (exp z)) (* x y))
7.4b	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

rewrite119.0ms

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:

22.0ms	(* 1.1283791670955126 (exp z))
36.0ms	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
18.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
32.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

series284.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(* 1.1283791670955126 (exp z))
74.0ms	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
100.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
91.0ms	(/ (- (* 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	610	2463
2	2766	2331
done	5001	2122

prune772.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

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

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 116

Calls

4 calls:

15.0ms	(- (* 1.1283791670955126 (/ (exp z) y)) x)
8.0ms	(/ (exp z) y)
30.0ms	(/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x))
31.0ms	(* 1.1283791670955126 (/ (exp z) y))

series255.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(- (* 1.1283791670955126 (/ (exp z) y)) x)
31.0ms	(/ (exp z) y)
104.0ms	(/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x))
40.0ms	(* 1.1283791670955126 (/ (exp z) y))

simplify1.3s

Counts

128 → 128

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	201	1496
1	471	1375
2	1777	1270
done	5000	1255

prune667.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

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

rewrite257.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 113

Calls

4 calls:

24.0ms	(* 1.1283791670955126 (exp z))
76.0ms	(- (* (* 1.1283791670955126 (exp z)) (/ 1 y)) x)
101.0ms	(/ 1 (- (* (* 1.1283791670955126 (exp z)) (/ 1 y)) x))
49.0ms	(* (* 1.1283791670955126 (exp z)) (/ 1 y))

series250.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(* 1.1283791670955126 (exp z))
68.0ms	(- (* (* 1.1283791670955126 (exp z)) (/ 1 y)) x)
105.0ms	(/ 1 (- (* (* 1.1283791670955126 (exp z)) (/ 1 y)) x))
45.0ms	(* (* 1.1283791670955126 (exp z)) (/ 1 y))

simplify2.8s

Counts

125 → 125

Iterations

Useful iterations: done (2.8s)

Iter	Nodes	Cost
0	208	1663
1	549	1492
2	2741	1176
done	5000	1163

prune526.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

regimes243.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	14
1	17	14
done	17	14

end0.0ms

sample858.0ms

Algorithm

intervals

Results

517.0ms

8000×

body

valid