Details

sample36.0ms

Algorithm

intervals

Results

16.0ms

332×

body

valid

simplify6.6s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	164
1	14	164
2	26	164
3	46	164
4	70	164
5	99	164
6	139	164
7	281	164
8	444	164
9	605	164
10	945	164
11	1443	164
12	1877	164
13	2263	164
14	2882	164
15	3796	164
done	5000	164

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.9b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`add-cbrt-cube` `add-exp-log`
7×	`add-cube-cbrt`
5×	`pow1` `associate-l` `add-log-exp`
4×	`associate-*l/`
3×	`associate-/r` `times-frac` `associate-r*`
2×	`cbrt-undiv` `flip3--` `div-exp` `prod-exp` `cbrt-unprod` `flip--` `associate-/l/`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `pow-prod-down` `-commutative` `flip-+` `div-inv` `distribute-lft-out` `associate-/l` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 57

Calls

3 calls:

20.0ms	(+ x (/ (* (- y x) z) t))
36.0ms	(* (- y x) z)
21.0ms	(/ (* (- y x) z) t)

series156.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(+ x (/ (* (- y x) z) t))
44.0ms	(* (- y x) z)
58.0ms	(/ (* (- y x) z) t)

simplify1.9s

Counts

66 → 66

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	110	13170
1	292	12095
2	1007	11935
done	5000	11695

prune328.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (- y x) (/ z t)))
8.1b	(* (- y x) (/ z t))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`associate-r`
12×	`*-un-lft-identity`
10×	`times-frac` `add-cube-cbrt`
7×	`add-cbrt-cube` `add-exp-log`
5×	`associate-l`
4×	`pow1` `add-log-exp`
2×	`frac-times` `flip3--` `associate-*l/` `prod-exp` `cbrt-unprod` `flip--` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `sum-log` `flip3-+` `div-exp` `pow-prod-down` `associate-r/` `-commutative` `flip-+` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 49

Calls

2 calls:

5.0ms	(+ x (* (- y x) (/ z t)))
24.0ms	(* (- y x) (/ z t))

series105.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(+ x (* (- y x) (/ z t)))
53.0ms	(* (- y x) (/ z t))

simplify3.5s

Counts

55 → 55

Iterations

Useful iterations: 2 (276.0ms)

Iter	Nodes	Cost
0	115	13541
1	308	12154
2	1043	11832
3	4818	11832
done	5000	11832

prune238.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (/ (- y x) (/ t z)))
8.5b	(/ (- y x) (/ t z))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

119×	`times-frac`
88×	`*-un-lft-identity`
86×	`add-sqr-sqrt`
58×	`add-cube-cbrt`
14×	`distribute-lft-out--` `difference-of-squares`
13×	`associate-/r*`
7×	`add-cbrt-cube` `add-exp-log` `div-inv`
5×	`associate-/l*`
4×	`add-log-exp`
3×	`cbrt-undiv` `div-exp`
2×	`pow1` `div-sub` `associate-/l/`
1×	`+-commutative` `clear-num` `associate-+r-` `sum-log` `frac-2neg` `flip3-+` `flip3--` `associate-/r/` `flip-+` `flip--` `distribute-lft-out`

Counts

2 → 114

Calls

2 calls:

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

series128.0ms

Counts

2 → 6

Calls

2 calls:

61.0ms	(+ x (/ (- y x) (/ t z)))
67.0ms	(/ (- y x) (/ t z))

simplify1.8s

Counts

120 → 120

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	217	42159
1	660	39718
2	1929	38577
done	5003	38456

prune610.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize88.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt t)
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `add-log-exp`

Counts

4 → 44

Calls

4 calls:

1.0ms	(cbrt t)
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series1.1s

Counts

4 → 12

Calls

4 calls:

279.0ms	(cbrt t)
326.0ms	(cbrt z)
263.0ms	(cbrt z)
258.0ms	(cbrt z)

simplify1.8s

Counts

56 → 56

Iterations

Useful iterations: 3 (99.0ms)

Iter	Nodes	Cost
0	42	10684
1	75	9316
2	170	9160
3	347	8520
4	877	8520
5	2518	8520
done	5008	8520

prune448.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes711.0ms

Accuracy

0% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 0.9b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	484
1	15	484
done	15	484

end0.0ms

sample931.0ms

Algorithm

intervals

Results

485.0ms

10693×

body

valid