Details

sample39.0ms

Algorithm

intervals

Results

16.0ms

360×

body

valid

simplify95.0ms

Counts: 1 → 1

prune32.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* a (+ t (* z b))))
0.0b	(+ (* y z) (+ x (* a (+ t (* z b)))))
0.0b	(+ t (* z b))
2.0b	(* a (+ t (* z b)))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 59

Calls

4 calls:

7.0ms	(+ x (* a (+ t (* z b))))
17.0ms	(+ (* y z) (+ x (* a (+ t (* z b)))))
8.0ms	(+ t (* z b))
34.0ms	(* a (+ t (* z b)))

series427.0ms

Counts

4 → 12

Calls

4 calls:

105.0ms	(+ x (* a (+ t (* z b))))
177.0ms	(+ (* y z) (+ x (* a (+ t (* z b)))))
51.0ms	(+ t (* z b))
93.0ms	(* a (+ t (* z b)))

simplify752.0ms

Counts: 71 → 71

prune298.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ x (* y z)) (* t a))
0.0b	(+ x (* y z))
0.0b	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
6.1b	(* (* a z) b)

rewrite228.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-log-exp`
10×	`sum-log`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
3×	`+-commutative` `flip3-+` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip-+`
2×	`associate-+l+`
1×	`associate-l` `*-commutative`

Counts

4 → 56

Calls

4 calls:

25.0ms	(+ (+ x (* y z)) (* t a))
11.0ms	(+ x (* y z))
161.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
30.0ms	(* (* a z) b)

series328.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(+ (+ x (* y z)) (* t a))
47.0ms	(+ x (* y z))
140.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
43.0ms	(* (* a z) b)

simplify938.0ms

Counts: 68 → 68

prune271.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt b)
0.6b	(cbrt b)
0.9b	(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
5.4b	(* (* a z) (* (cbrt b) (cbrt b)))

rewrite206.0ms

Algorithm

rewrite-expression-head

Rules

34×	`pow1` `add-exp-log`
21×	`pow-prod-down` `prod-exp` `add-cbrt-cube` `cbrt-unprod`
9×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`associate-r`
4×	`add-log-exp`
2×	`pow1/3` `associate-l` `*-commutative`

Counts

4 → 74

Calls

4 calls:

2.0ms	(cbrt b)
2.0ms	(cbrt b)
133.0ms	(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
64.0ms	(* (* a z) (* (cbrt b) (cbrt b)))

series800.0ms

Counts

4 → 12

Calls

4 calls:

277.0ms	(cbrt b)
293.0ms	(cbrt b)
59.0ms	(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
171.0ms	(* (* a z) (* (cbrt b) (cbrt b)))

simplify702.0ms

Counts: 86 → 86

prune294.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ x (* y z)))
0.5b	(cbrt (+ x (* y z)))
0.5b	(cbrt (+ x (* y z)))
6.1b	(* (* a z) b)

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-exp-log` `cbrt-prod` `add-cbrt-cube`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-div`
4×	`add-log-exp`
3×	`flip3-+` `pow1/3` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip-+`
1×	`associate-l` `*-commutative`

Counts

4 → 57

Calls

4 calls:

3.0ms	(cbrt (+ x (* y z)))
3.0ms	(cbrt (+ x (* y z)))
3.0ms	(cbrt (+ x (* y z)))
24.0ms	(* (* a z) b)

series769.0ms

Counts

4 → 12

Calls

4 calls:

149.0ms	(cbrt (+ x (* y z)))
159.0ms	(cbrt (+ x (* y z)))
426.0ms	(cbrt (+ x (* y z)))
34.0ms	(* (* a z) b)

simplify1.5s

Counts: 69 → 69

prune305.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes207.0ms

Accuracy

0% (2.6b remaining)

Error of 2.6b against oracle of 0.0b and baseline of 2.6b

bsearch51.0ms

Steps

Iters	Range		Point
8	8.768623535784644e-38	2.0386002079027382e-33	1.6907618451066415e-35

simplify559.0ms

end0.0ms

sample1.7s

Algorithm

intervals

Results

807.0ms

11894×

body

valid