Details

sample33.0ms

Algorithm

intervals

Results

14.0ms

344×

body

valid

simplify2.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
32	4884
31	4734
30	4580
29	4414
28	4261
27	4111
26	3957
25	3791
24	3638
23	3488
22	3332
21	3172
20	3017
19	2867
18	2711
17	2551
16	2396
15	2246
14	2090
13	1922
12	1610
11	1048
10	310
9	171
8	134
7	97
6	75
5	63
4	50
3	34
2	20
1	13
0	8

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b	(* z (- 1.0 y))
0.0b	(+ (* x y) (* z (- 1.0 y)))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`*-un-lft-identity`
5×	`associate-r`
4×	`distribute-rgt-in` `pow1` `associate-+r+` `sub-neg` `distribute-lft-in` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `add-log-exp`
3×	`associate-l`
2×	`associate-*r/`
1×	`+-commutative` `sum-log` `flip3-+` `flip3--` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `flip--` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 41

Calls

2 calls:

33.0ms	(* z (- 1.0 y))
12.0ms	(+ (* x y) (* z (- 1.0 y)))

series94.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(* z (- 1.0 y))
47.0ms	(+ (* x y) (* z (- 1.0 y)))

simplify1.8s

Counts

47 → 47

Iterations

Iter	Nodes
done	5015
3	2330
2	610
1	200
0	77

prune200.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x y) (* z (- 1.0 y)))) (cbrt (+ (* x y) (* z (- 1.0 y)))))
0.5b	(cbrt (+ (* x y) (* z (- 1.0 y))))
0.5b	(cbrt (+ (* x y) (* z (- 1.0 y))))
0.5b	(cbrt (+ (* x y) (* z (- 1.0 y))))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

44.0ms	(* (cbrt (+ (* x y) (* z (- 1.0 y)))) (cbrt (+ (* x y) (* z (- 1.0 y)))))
4.0ms	(cbrt (+ (* x y) (* z (- 1.0 y))))
4.0ms	(cbrt (+ (* x y) (* z (- 1.0 y))))
4.0ms	(cbrt (+ (* x y) (* z (- 1.0 y))))

series910.0ms

Counts

4 → 12

Calls

4 calls:

285.0ms	(* (cbrt (+ (* x y) (* z (- 1.0 y)))) (cbrt (+ (* x y) (* z (- 1.0 y)))))
193.0ms	(cbrt (+ (* x y) (* z (- 1.0 y))))
244.0ms	(cbrt (+ (* x y) (* z (- 1.0 y))))
187.0ms	(cbrt (+ (* x y) (* z (- 1.0 y))))

simplify2.1s

Counts

99 → 99

Iterations

Iter	Nodes
done	5053
3	2804
2	965
1	346
0	133

prune584.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x y) (/ (* z (- (* 1.0 1.0) (* y y))) (+ 1.0 y)))
2.2b	(* z (- (* 1.0 1.0) (* y y)))
6.9b	(/ (* z (- (* 1.0 1.0) (* y y))) (+ 1.0 y))

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 63

Calls

3 calls:

34.0ms	(+ (* x y) (/ (* z (- (* 1.0 1.0) (* y y))) (+ 1.0 y)))
41.0ms	(* z (- (* 1.0 1.0) (* y y)))
45.0ms	(/ (* z (- (* 1.0 1.0) (* y y))) (+ 1.0 y))

series294.0ms

Counts

3 → 9

Calls

3 calls:

84.0ms	(+ (* x y) (/ (* z (- (* 1.0 1.0) (* y y))) (+ 1.0 y)))
79.0ms	(* z (- (* 1.0 1.0) (* y y)))
130.0ms	(/ (* z (- (* 1.0 1.0) (* y y))) (+ 1.0 y))

simplify1.7s

Counts

72 → 72

Iterations

Iter	Nodes
done	5000
2	1507
1	393
0	126

prune378.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- 1.0 y))
0.0b	(+ (* x y) (/ z (/ 1 (- 1.0 y))))
0.1b	(/ z (/ 1 (- 1.0 y)))

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
103×	`add-sqr-sqrt` `*-un-lft-identity`
71×	`add-cube-cbrt`
26×	`associate-/r*`
16×	`add-exp-log` `distribute-lft-out--` `difference-of-squares`
11×	`associate-/r/`
10×	`add-cbrt-cube`
8×	`div-exp`
6×	`div-inv` `associate-/l*`
5×	`flip3--` `flip--` `add-log-exp`
4×	`pow1` `cbrt-undiv`
2×	`rec-exp` `clear-num` `frac-2neg` `1-exp`
1×	`+-commutative` `sum-log` `flip3-+` `flip-+` `pow-flip` `inv-pow`

Counts

3 → 156

Calls

3 calls:

10.0ms	(/ 1 (- 1.0 y))
42.0ms	(+ (* x y) (/ z (/ 1 (- 1.0 y))))
28.0ms	(/ z (/ 1 (- 1.0 y)))

series159.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(/ 1 (- 1.0 y))
57.0ms	(+ (* x y) (/ z (/ 1 (- 1.0 y))))
60.0ms	(/ z (/ 1 (- 1.0 y)))

simplify1.4s

Counts

165 → 165

Iterations

Iter	Nodes
done	5001
2	1612
1	634
0	246

prune569.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes244.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	11
1	11
0	8

end0.0ms

sample872.0ms

Algorithm

intervals

Results

546.0ms

10134×

body

valid