Details

sample32.0ms

Algorithm

intervals

Results

13.0ms

329×

body

valid

simplify888.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
10	1750
9	381
8	140
7	100
6	79
5	68
4	53
3	34
2	20
1	13
0	8

prune9.0ms

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

rewrite29.0ms

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:

17.0ms	(* (- 1.0 x) y)
11.0ms	(+ (* (- 1.0 x) y) (* x z))

series103.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(* (- 1.0 x) y)
52.0ms	(+ (* (- 1.0 x) y) (* x z))

simplify993.0ms

Counts

39 → 39

Iterations

Iter	Nodes
done	5000
2	760
1	190
0	71

prune158.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite113.0ms

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:

8.0ms	(cbrt (+ (* (- 1.0 x) y) (* x z)))
13.0ms	(cbrt (+ (* (- 1.0 x) y) (* x z)))
15.0ms	(cbrt (+ (* (- 1.0 x) y) (* x z)))
74.0ms	(* (cbrt (+ (* (- 1.0 x) y) (* x z))) (cbrt (+ (* (- 1.0 x) y) (* x z))))

series909.0ms

Counts

4 → 12

Calls

4 calls:

227.0ms	(cbrt (+ (* (- 1.0 x) y) (* x z)))
192.0ms	(cbrt (+ (* (- 1.0 x) y) (* x z)))
218.0ms	(cbrt (+ (* (- 1.0 x) y) (* x z)))
272.0ms	(* (cbrt (+ (* (- 1.0 x) y) (* x z))) (cbrt (+ (* (- 1.0 x) y) (* x z))))

simplify1.5s

Counts

99 → 99

Iterations

Iter	Nodes
done	5001
2	1364
1	403
0	157

prune445.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite130.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 68

Calls

3 calls:

40.0ms	(+ (* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) y)) (* x z))
26.0ms	(* (sqrt (- 1.0 x)) y)
61.0ms	(* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) y))

series178.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(+ (* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) y)) (* x z))
95.0ms	(* (sqrt (- 1.0 x)) y)
35.0ms	(* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) y))

simplify1.1s

Counts

77 → 77

Iterations

Iter	Nodes
done	5001
2	1495
1	367
0	136

prune258.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite35.0ms

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:

23.0ms	(* x (- z y))
11.0ms	(+ (* y 1.0) (* x (- z y)))

series84.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(* x (- z y))
44.0ms	(+ (* y 1.0) (* x (- z y)))

simplify2.3s

Counts

47 → 47

Iterations

Iter	Nodes
done	5001
3	3742
2	705
1	208
0	78

prune211.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes296.0ms

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

sample826.0ms

Algorithm

intervals

Results

450.0ms

10195×

body

valid