Details

sample25.0ms

Algorithm

intervals

Results

11.0ms

329×

body

valid

simplify3.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
32	4862
31	4711
30	4546
29	4395
28	4247
27	4096
26	3931
25	3780
24	3632
23	3481
22	3316
21	3165
20	3017
19	2866
18	2701
17	2550
16	2402
15	2253
14	2094
13	1929
12	1618
11	1065
10	310
9	171
8	134
7	97
6	75
5	63
4	50
3	34
2	20
1	13
0	8

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 2 expressions with local error:

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

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`*-un-lft-identity`
5×	`associate-l`
4×	`pow1` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `add-log-exp`
3×	`associate-r`
2×	`associate-*l/`
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 → 33

Calls

2 calls:

32.0ms	(* (- 1.0 x) z)
16.0ms	(+ (* x y) (* (- 1.0 x) z))

series133.0ms

Counts

2 → 6

Calls

2 calls:

66.0ms	(* (- 1.0 x) z)
66.0ms	(+ (* x y) (* (- 1.0 x) z))

simplify2.3s

Counts

39 → 39

Iterations

Iter	Nodes
done	5002
3	2527
2	603
1	190
0	71

prune242.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (+ 1.0 x))
0.0b	(+ (* x y) (/ (* (* z (+ 1.0 x)) (- 1.0 x)) (+ 1.0 x)))
0.1b	(* (* z (+ 1.0 x)) (- 1.0 x))
7.8b	(/ (* (* z (+ 1.0 x)) (- 1.0 x)) (+ 1.0 x))

rewrite182.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 101

Calls

4 calls:

18.0ms	(* z (+ 1.0 x))
28.0ms	(+ (* x y) (/ (* (* z (+ 1.0 x)) (- 1.0 x)) (+ 1.0 x)))
58.0ms	(* (* z (+ 1.0 x)) (- 1.0 x))
72.0ms	(/ (* (* z (+ 1.0 x)) (- 1.0 x)) (+ 1.0 x))

series347.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(* z (+ 1.0 x))
70.0ms	(+ (* x y) (/ (* (* z (+ 1.0 x)) (- 1.0 x)) (+ 1.0 x)))
149.0ms	(* (* z (+ 1.0 x)) (- 1.0 x))
73.0ms	(/ (* (* z (+ 1.0 x)) (- 1.0 x)) (+ 1.0 x))

simplify2.0s

Counts

113 → 113

Iterations

Iter	Nodes
done	5004
2	2462
1	538
0	160

prune673.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite31.0ms

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:

22.0ms	(* x (- y z))
8.0ms	(+ (* 1.0 z) (* x (- y z)))

series459.0ms

Counts

2 → 6

Calls

2 calls:

65.0ms	(* x (- y z))
395.0ms	(+ (* 1.0 z) (* x (- y z)))

simplify2.2s

Counts

47 → 47

Iterations

Iter	Nodes
done	5003
3	2388
2	600
1	200
0	76

prune285.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- y z)) (cbrt (- y z)))
0.6b	(cbrt (- y z))
0.6b	(cbrt (- y z))
0.6b	(cbrt (- y z))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`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 → 101

Calls

4 calls:

36.0ms	(* (cbrt (- y z)) (cbrt (- y z)))
4.0ms	(cbrt (- y z))
4.0ms	(cbrt (- y z))
7.0ms	(cbrt (- y z))

series875.0ms

Counts

4 → 12

Calls

4 calls:

174.0ms	(* (cbrt (- y z)) (cbrt (- y z)))
232.0ms	(cbrt (- y z))
237.0ms	(cbrt (- y z))
231.0ms	(cbrt (- y z))

simplify1.9s

Counts

113 → 113

Iterations

Iter	Nodes
done	5001
3	1772
2	674
1	284
0	131

prune631.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes155.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	11
1	11
0	8

end0.0ms

sample1.1s

Algorithm

intervals

Results

639.0ms

10195×

body

valid