Details

sample43.0ms

Algorithm

intervals

Results

16.0ms

369×

body

valid

simplify34.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	11
1	18	11
2	25	11
3	27	11
done	27	11

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (+ (* x y) (* z t)) (* a b))
0.0b	(+ (* x y) (* z t))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`sum-log`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`
1×	`associate-+l+`

Counts

2 → 24

Calls

2 calls:

38.0ms	(+ (+ (* x y) (* z t)) (* a b))
13.0ms	(+ (* x y) (* z t))

series143.0ms

Counts

2 → 6

Calls

2 calls:

81.0ms	(+ (+ (* x y) (* z t)) (* a b))
61.0ms	(+ (* x y) (* z t))

simplify1.6s

Counts

30 → 30

Iterations

Useful iterations: 3 (542.0ms)

Iter	Nodes	Cost
0	57	421
1	187	395
2	682	373
3	2402	369
done	5000	369

prune86.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
1.9b	(cbrt (+ (* x y) (* z t)))
1.9b	(cbrt (+ (* x y) (* z t)))
1.9b	(cbrt (+ (* x y) (* z t)))

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

73.0ms	(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
8.0ms	(cbrt (+ (* x y) (* z t)))
8.0ms	(cbrt (+ (* x y) (* z t)))
8.0ms	(cbrt (+ (* x y) (* z t)))

series613.0ms

Counts

4 → 12

Calls

4 calls:

180.0ms	(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
136.0ms	(cbrt (+ (* x y) (* z t)))
131.0ms	(cbrt (+ (* x y) (* z t)))
166.0ms	(cbrt (+ (* x y) (* z t)))

simplify3.8s

Counts

99 → 99

Iterations

Useful iterations: done (3.8s)

Iter	Nodes	Cost
0	127	2030
1	313	1881
2	834	1751
3	2017	1590
4	4868	1513
done	5001	1452

prune432.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
1.9b	(cbrt (+ (* x y) (* z t)))
1.9b	(cbrt (+ (* x y) (* z t)))
1.9b	(cbrt (+ (* x y) (* z t)))

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

53.0ms	(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
5.0ms	(cbrt (+ (* x y) (* z t)))
7.0ms	(cbrt (+ (* x y) (* z t)))
17.0ms	(cbrt (+ (* x y) (* z t)))

series636.0ms

Counts

4 → 12

Calls

4 calls:

197.0ms	(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
144.0ms	(cbrt (+ (* x y) (* z t)))
146.0ms	(cbrt (+ (* x y) (* z t)))
149.0ms	(cbrt (+ (* x y) (* z t)))

simplify4.4s

Counts

99 → 99

Iterations

Useful iterations: done (4.4s)

Iter	Nodes	Cost
0	127	2030
1	313	1881
2	834	1751
3	2017	1590
4	4868	1513
done	5001	1452

prune470.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize70.0ms

Local error

Found 4 expressions with local error:

19.2b	(/ (* (cbrt (- (* (* x y) (* x y)) (pow (* z t) 2))) (cbrt (+ (pow (* x y) 3) (pow (* z t) 3)))) (* (cbrt (- (* x y) (* z t))) (cbrt (+ (pow (* z t) 2) (* (* x y) (- (* x y) (* z t)))))))
24.6b	(cbrt (- (* (* x y) (* x y)) (pow (* z t) 2)))
24.6b	(cbrt (+ (pow (* z t) 2) (* (* x y) (- (* x y) (* z t)))))
33.9b	(cbrt (+ (pow (* x y) 3) (pow (* z t) 3)))

rewrite191.0ms

Algorithm

rewrite-expression-head

Rules

30×	`cbrt-div`
16×	`add-exp-log`
14×	`cbrt-prod`
9×	`*-un-lft-identity`
8×	`add-sqr-sqrt` `frac-times` `flip3-+` `associate-/r/` `add-cbrt-cube` `flip-+` `associate-/l/`
7×	`add-cube-cbrt` `flip3--` `flip--`
4×	`pow1` `cbrt-undiv` `associate-r/` `div-exp` `associate-l/` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`pow1/3` `difference-of-squares`
1×	`frac-2neg` `times-frac` `clear-num` `associate-/r` `sum-cubes` `div-inv` `distribute-lft-out` `associate-/l` `unpow2` `sqr-pow`

Counts

4 → 81

Calls

4 calls:

113.0ms	(/ (* (cbrt (- (* (* x y) (* x y)) (pow (* z t) 2))) (cbrt (+ (pow (* x y) 3) (pow (* z t) 3)))) (* (cbrt (- (* x y) (* z t))) (cbrt (+ (pow (* z t) 2) (* (* x y) (- (* x y) (* z t)))))))
43.0ms	(cbrt (- (* (* x y) (* x y)) (pow (* z t) 2)))
9.0ms	(cbrt (+ (pow (* z t) 2) (* (* x y) (- (* x y) (* z t)))))
20.0ms	(cbrt (+ (pow (* x y) 3) (pow (* z t) 3)))

series1.0s

Counts

4 → 12

Calls

4 calls:

358.0ms	(/ (* (cbrt (- (* (* x y) (* x y)) (pow (* z t) 2))) (cbrt (+ (pow (* x y) 3) (pow (* z t) 3)))) (* (cbrt (- (* x y) (* z t))) (cbrt (+ (pow (* z t) 2) (* (* x y) (- (* x y) (* z t)))))))
174.0ms	(cbrt (- (* (* x y) (* x y)) (pow (* z t) 2)))
302.0ms	(cbrt (+ (pow (* z t) 2) (* (* x y) (- (* x y) (* z t)))))
167.0ms	(cbrt (+ (pow (* x y) 3) (pow (* z t) 3)))

simplify1.7s

Counts

93 → 93

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	265	3972
1	760	3750
2	2713	3184
done	5000	3154

prune939.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes571.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	11
1	16	11
done	16	11

end0.0ms

sample1.8s

Algorithm

intervals

Results

784.0ms

11976×

body

valid