Details

sample58.0ms

Algorithm

intervals

Results

22.0ms

379×

body

valid

simplify10.0ms

Counts

1 → 1

Iterations

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

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 2 expressions with local error:

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

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 24

Calls

2 calls:

10.0ms	(+ (* z t) (* x y))
29.0ms	(+ (+ (* z t) (* x y)) (* a b))

series142.0ms

Counts

2 → 6

Calls

2 calls:

59.0ms	(+ (* z t) (* x y))
83.0ms	(+ (+ (* z t) (* x y)) (* a b))

simplify1.5s

Counts

30 → 30

Iterations

Iter	Nodes
done	5001
3	3219
2	723
1	186
0	56

prune204.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (+ (* z t) (* a b)) (* x y))) (cbrt (+ (+ (* z t) (* a b)) (* x y))))
0.6b	(cbrt (+ (+ (* z t) (* a b)) (* x y)))
0.6b	(cbrt (+ (+ (* z t) (* a b)) (* x y)))
0.6b	(cbrt (+ (+ (* z t) (* a b)) (* x y)))

rewrite199.0ms

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:

149.0ms	(* (cbrt (+ (+ (* z t) (* a b)) (* x y))) (cbrt (+ (+ (* z t) (* a b)) (* x y))))
19.0ms	(cbrt (+ (+ (* z t) (* a b)) (* x y)))
13.0ms	(cbrt (+ (+ (* z t) (* a b)) (* x y)))
13.0ms	(cbrt (+ (+ (* z t) (* a b)) (* x y)))

series903.0ms

Counts

4 → 12

Calls

4 calls:

289.0ms	(* (cbrt (+ (+ (* z t) (* a b)) (* x y))) (cbrt (+ (+ (* z t) (* a b)) (* x y))))
187.0ms	(cbrt (+ (+ (* z t) (* a b)) (* x y)))
206.0ms	(cbrt (+ (+ (* z t) (* a b)) (* x y)))
221.0ms	(cbrt (+ (+ (* z t) (* a b)) (* x y)))

simplify830.0ms

Counts

99 → 99

Iterations

Iter	Nodes
done	5001
2	1176
1	332
0	128

prune875.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize55.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ (* z t) (+ (* a b) (* x y))))
0.6b	(cbrt (+ (* z t) (+ (* a b) (* x y))))
0.6b	(cbrt (+ (+ (* z t) (* a b)) (* x y)))
0.6b	(cbrt (+ (+ (* z t) (* a b)) (* x y)))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `cbrt-div` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `flip3-+` `add-cbrt-cube` `pow1/3` `add-exp-log` `flip-+` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

23.0ms	(cbrt (+ (* z t) (+ (* a b) (* x y))))
20.0ms	(cbrt (+ (* z t) (+ (* a b) (* x y))))
25.0ms	(cbrt (+ (+ (* z t) (* a b)) (* x y)))
19.0ms	(cbrt (+ (+ (* z t) (* a b)) (* x y)))

series759.0ms

Counts

4 → 12

Calls

4 calls:

182.0ms	(cbrt (+ (* z t) (+ (* a b) (* x y))))
200.0ms	(cbrt (+ (* z t) (+ (* a b) (* x y))))
196.0ms	(cbrt (+ (+ (* z t) (* a b)) (* x y)))
181.0ms	(cbrt (+ (+ (* z t) (* a b)) (* x y)))

simplify1.3s

Counts

64 → 64

Iterations

Iter	Nodes
done	5002
3	2687
2	732
1	235
0	88

prune834.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize60.0ms

Local error

Found 4 expressions with local error:

4.0b	(* y (* (* x x) y))
8.3b	(* (* x x) y)
18.5b	(* (* z z) (* t t))
23.6b	(/ (- (* (* z z) (* t t)) (* y (* (* x x) y))) (- (* z t) (* x y)))

rewrite185.0ms

Algorithm

rewrite-expression-head

Rules

46×	`pow1`
32×	`add-cbrt-cube` `add-exp-log`
23×	`pow-prod-down`
17×	`prod-exp` `cbrt-unprod`
15×	`add-sqr-sqrt`
14×	`*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
5×	`associate-r` `associate-l`
4×	`pow-plus` `pow-prod-up` `add-log-exp`
3×	`associate-/r` `-commutative` `associate-/l*`
2×	`pow2` `flip3--` `associate-/r/` `pow-sqr` `flip--` `unswap-sqr` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-sub` `div-exp` `div-inv`

Counts

4 → 101

Calls

4 calls:

37.0ms	(* y (* (* x x) y))
14.0ms	(* (* x x) y)
23.0ms	(* (* z z) (* t t))
108.0ms	(/ (- (* (* z z) (* t t)) (* y (* (* x x) y))) (- (* z t) (* x y)))

series196.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* y (* (* x x) y))
30.0ms	(* (* x x) y)
36.0ms	(* (* z z) (* t t))
92.0ms	(/ (- (* (* z z) (* t t)) (* y (* (* x x) y))) (- (* z t) (* x y)))

simplify2.4s

Counts

113 → 113

Iterations

Iter	Nodes
done	5002
2	3735
1	500
0	164

prune687.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes948.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	16
1	16
0	11

end0.0ms

sample2.4s

Algorithm

intervals

Results

839.0ms

11910×

body

valid