Details

sample19.0ms

Algorithm

intervals

Results

8.0ms

332×

body

valid

simplify5.4s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	24	9
3	52	9
4	83	9
5	107	9
6	129	9
7	152	9
8	193	9
9	259	9
10	345	9
11	382	9
12	432	9
13	466	9
14	502	9
15	590	9
16	811	9
17	1096	9
18	1648	9
19	2142	9
20	2197	9
done	2197	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.5b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (- y x) (/ z t)))
5.8b	(* (- y x) (/ z t))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 49

Calls

2 calls:

2.0ms	(+ x (* (- y x) (/ z t)))
16.0ms	(* (- y x) (/ z t))

series78.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(+ x (* (- y x) (/ z t)))
44.0ms	(* (- y x) (/ z t))

simplify2.3s

Counts

55 → 55

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	115	669
1	297	627
2	1058	581
3	4931	557
done	5000	557

prune136.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt z)
0.7b	(cbrt z)
0.7b	(cbrt z)
4.2b	(* (* (- y x) (* (cbrt z) (cbrt z))) (/ (cbrt z) t))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-exp-log`
22×	`associate-r`
20×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`cbrt-prod` `times-frac` `add-cbrt-cube`
13×	`pow1`
12×	`prod-exp` `cbrt-unprod`
6×	`pow-prod-down` `associate-*l/`
4×	`add-log-exp`
3×	`cbrt-undiv` `pow1/3` `div-exp`
2×	`frac-times` `flip3--` `flip--`
1×	`associate-r/` `associate-l` `-commutative` `div-inv`

Counts

4 → 84

Calls

4 calls:

0.0ms	(cbrt z)
0.0ms	(cbrt z)
1.0ms	(cbrt z)
51.0ms	(* (* (- y x) (* (cbrt z) (cbrt z))) (/ (cbrt z) t))

series613.0ms

Counts

4 → 12

Calls

4 calls:

175.0ms	(cbrt z)
192.0ms	(cbrt z)
173.0ms	(cbrt z)
74.0ms	(* (* (- y x) (* (cbrt z) (cbrt z))) (/ (cbrt z) t))

simplify697.0ms

Counts

96 → 96

Iterations

Useful iterations: 2 (227.0ms)

Iter	Nodes	Cost
0	144	1219
1	433	1161
2	1887	841
done	5000	841

prune256.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (- (/ (* z y) t) (/ (* x z) t)))
0.0b	(- (/ (* z y) t) (/ (* x z) t))
6.1b	(/ (* x z) t)
6.1b	(/ (* z y) t)

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-un-lft-identity`
14×	`add-exp-log` `add-cbrt-cube`
11×	`add-log-exp`
10×	`add-sqr-sqrt`
8×	`add-cube-cbrt`
6×	`times-frac` `associate-/r*`
4×	`pow1` `cbrt-undiv` `div-exp` `div-inv`
2×	`sub-neg` `associate-+r+` `frac-2neg` `diff-log` `prod-exp` `clear-num` `sum-log` `cbrt-unprod` `distribute-lft-out` `associate-/l*` `distribute-lft-out--`
1×	`+-commutative` `associate-+r-` `flip3--` `distribute-rgt-out--` `flip3-+` `frac-sub` `flip--` `flip-+` `sub-div` `difference-of-squares`

Counts

4 → 76

Calls

4 calls:

25.0ms	(+ x (- (/ (* z y) t) (/ (* x z) t)))
10.0ms	(- (/ (* z y) t) (/ (* x z) t))
6.0ms	(/ (* x z) t)
3.0ms	(/ (* z y) t)

series121.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(+ x (- (/ (* z y) t) (/ (* x z) t)))
47.0ms	(- (/ (* z y) t) (/ (* x z) t))
19.0ms	(/ (* x z) t)
19.0ms	(/ (* z y) t)

simplify464.0ms

Counts

88 → 88

Iterations

Useful iterations: 2 (100.0ms)

Iter	Nodes	Cost
0	128	1054
1	330	974
2	1125	902
done	5000	902

prune178.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (- (* (* z y) (/ 1 t)) (/ (* x z) t)))
0.0b	(- (* (* z y) (/ 1 t)) (/ (* x z) t))
6.1b	(/ (* x z) t)
6.1b	(* (* z y) (/ 1 t))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-exp-log`
21×	`add-cbrt-cube`
15×	`*-un-lft-identity`
13×	`add-sqr-sqrt` `add-cube-cbrt` `associate-r` `prod-exp`
12×	`times-frac`
11×	`add-log-exp`
9×	`pow1`
7×	`cbrt-unprod`
6×	`div-exp`
4×	`cbrt-undiv`
3×	`associate-r/` `pow-prod-down` `associate-/r` `un-div-inv` `div-inv`
2×	`sub-neg` `rec-exp` `associate-+r+` `diff-log` `1-exp` `sum-log` `frac-sub` `sub-div`
1×	`+-commutative` `associate-+r-` `flip3--` `distribute-rgt-out--` `frac-2neg` `flip3-+` `associate-l` `clear-num` `-commutative` `flip--` `flip-+` `distribute-lft-out` `associate-/l`

Counts

4 → 92

Calls

4 calls:

26.0ms	(+ x (- (* (* z y) (/ 1 t)) (/ (* x z) t)))
10.0ms	(- (* (* z y) (/ 1 t)) (/ (* x z) t))
3.0ms	(/ (* x z) t)
14.0ms	(* (* z y) (/ 1 t))

series119.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(+ x (- (* (* z y) (/ 1 t)) (/ (* x z) t)))
46.0ms	(- (* (* z y) (/ 1 t)) (/ (* x z) t))
19.0ms	(/ (* x z) t)
19.0ms	(* (* z y) (/ 1 t))

simplify708.0ms

Counts

104 → 104

Iterations

Useful iterations: 2 (225.0ms)

Iter	Nodes	Cost
0	167	1336
1	476	1072
2	1544	956
done	5000	956

prune193.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes151.0ms

Accuracy

0% (2.1b remaining)

Error of 2.2b against oracle of 0.0b and baseline of 2.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	10	9
done	10	9

end0.0ms

sample526.0ms

Algorithm

intervals

Results

267.0ms

10666×

body

valid