Details

sample21.0ms

Algorithm

intervals

Results

10.0ms

349×

body

valid

simplify3.1s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	11
1	27	11
2	76	11
3	167	11
4	253	11
5	317	11
6	384	11
7	518	11
8	1033	11
9	3687	11
done	5000	11

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.2b

localize9.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (* z z) (+ z 1.0))
13.7b	(/ (* x y) (* (* z z) (+ z 1.0)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-exp-log` `add-cbrt-cube`
12×	`prod-exp` `cbrt-unprod`
7×	`pow1`
6×	`cbrt-undiv` `div-exp`
5×	`*-un-lft-identity`
4×	`add-sqr-sqrt` `associate-r/` `associate-r*`
3×	`add-cube-cbrt` `pow-prod-down`
2×	`expm1-log1p-u` `flip3-+` `associate-/r/` `flip-+` `log1p-expm1-u` `add-log-exp`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `times-frac` `associate-l` `clear-num` `associate-/r` `-commutative` `div-inv` `distribute-lft-out` `associate-/l*` `unswap-sqr`

Counts

2 → 55

Calls

2 calls:

14.0ms	(* (* z z) (+ z 1.0))
16.0ms	(/ (* x y) (* (* z z) (+ z 1.0)))

series150.0ms

Counts

2 → 6

Calls

2 calls:

59.0ms	(* (* z z) (+ z 1.0))
90.0ms	(/ (* x y) (* (* z z) (+ z 1.0)))

simplify1.3s

Counts

61 → 61

Iterations

Useful iterations: 2 (293.0ms)

Iter	Nodes	Cost
0	116	898
1	379	832
2	2022	663
done	5000	663

prune136.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 7.2b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (+ z 1.0) y)
3.3b	(* (pow z 2) (/ (+ z 1.0) y))
7.0b	(/ x (* (pow z 2) (/ (+ z 1.0) y)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt`
39×	`add-exp-log`
38×	`*-un-lft-identity`
31×	`times-frac`
24×	`add-cube-cbrt`
19×	`add-cbrt-cube`
16×	`associate-r`
14×	`div-exp`
12×	`prod-exp`
8×	`associate-l` `unswap-sqr`
7×	`distribute-lft-out` `associate-/l*`
6×	`cbrt-undiv`
5×	`unpow-prod-down`
4×	`pow-to-exp` `pow-exp` `associate-/r*` `cbrt-unprod`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `div-inv` `unpow2` `add-log-exp` `sqr-pow`
2×	`frac-2neg` `associate-*r/` `clear-num` `associate-/l/`
1×	`flip3-+` `associate-/r/` `*-commutative` `flip-+`

Counts

3 → 116

Calls

3 calls:

8.0ms	(/ (+ z 1.0) y)
18.0ms	(* (pow z 2) (/ (+ z 1.0) y))
8.0ms	(/ x (* (pow z 2) (/ (+ z 1.0) y)))

series137.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(/ (+ z 1.0) y)
42.0ms	(* (pow z 2) (/ (+ z 1.0) y))
62.0ms	(/ x (* (pow z 2) (/ (+ z 1.0) y)))

simplify1.1s

Counts

125 → 125

Iterations

Useful iterations: 2 (441.0ms)

Iter	Nodes	Cost
0	186	1633
1	478	1531
2	1902	1349
done	5000	1349

prune307.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 4.3b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (+ 1.0 z))
0.2b	(* z (/ (* z (+ 1.0 z)) y))
4.8b	(/ (* z (+ 1.0 z)) y)
7.0b	(/ x (* z (/ (* z (+ 1.0 z)) y)))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-exp-log` `add-cbrt-cube`
17×	`add-sqr-sqrt`
15×	`*-un-lft-identity`
13×	`add-cube-cbrt`
11×	`associate-r`
10×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
9×	`times-frac`
8×	`pow1`
6×	`associate-r/` `associate-l*`
4×	`expm1-log1p-u` `associate-/r` `log1p-expm1-u` `associate-/l` `add-log-exp`
3×	`div-inv`
2×	`frac-2neg` `flip3-+` `pow-prod-down` `clear-num` `*-commutative` `flip-+` `associate-/l/` `unswap-sqr`
1×	`distribute-rgt-in` `distribute-lft-in` `associate-/r/` `distribute-lft-out`

Counts

4 → 107

Calls

4 calls:

10.0ms	(* z (+ 1.0 z))
13.0ms	(* z (/ (* z (+ 1.0 z)) y))
6.0ms	(/ (* z (+ 1.0 z)) y)
12.0ms	(/ x (* z (/ (* z (+ 1.0 z)) y)))

series188.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* z (+ 1.0 z))
45.0ms	(* z (/ (* z (+ 1.0 z)) y))
37.0ms	(/ (* z (+ 1.0 z)) y)
61.0ms	(/ x (* z (/ (* z (+ 1.0 z)) y)))

simplify910.0ms

Counts

119 → 119

Iterations

Useful iterations: done (904.0ms)

Iter	Nodes	Cost
0	176	1449
1	477	1384
2	1755	1150
done	5000	1148

prune545.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 2.2b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
4.3b	(/ (cbrt x) (/ (* z (+ 1.0 z)) y))
4.8b	(/ (* z (+ 1.0 z)) y)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

66×	`times-frac`
38×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
30×	`cbrt-prod`
18×	`add-exp-log`
15×	`add-cbrt-cube`
10×	`associate-/r*`
9×	`div-inv`
7×	`cbrt-undiv` `div-exp` `associate-/l*`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `pow1/3` `associate-*r/` `prod-exp` `clear-num` `cbrt-unprod` `associate-/l/`
1×	`flip3-+` `associate-/r/` `flip-+`

Counts

4 → 125

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
7.0ms	(/ (cbrt x) (/ (* z (+ 1.0 z)) y))
9.0ms	(/ (* z (+ 1.0 z)) y)

series611.0ms

Counts

4 → 12

Calls

4 calls:

206.0ms	(cbrt x)
204.0ms	(cbrt x)
156.0ms	(/ (cbrt x) (/ (* z (+ 1.0 z)) y))
44.0ms	(/ (* z (+ 1.0 z)) y)

simplify834.0ms

Counts

137 → 137

Iterations

Useful iterations: done (830.0ms)

Iter	Nodes	Cost
0	220	1834
1	525	1747
2	1880	1598
done	5001	1596

prune466.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

regimes184.0ms

Accuracy

0% (1.3b remaining)

Error of 1.4b against oracle of 0.1b and baseline of 1.4b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	25
1	17	25
done	17	25

end0.0ms

sample525.0ms

Algorithm

intervals

Results

302.0ms

10718×

body

valid