Details

sample30.0ms

Algorithm

intervals

Results

12.0ms

352×

body

valid

simplify2.7s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	25	9
3	58	9
4	101	9
5	158	9
6	207	9
7	389	9
8	992	9
9	3653	9
done	5001	9

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.3b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (- y x) (/ z t)))
6.4b	(* (- y x) (/ z t))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 49

Calls

2 calls:

7.0ms	(+ x (* (- y x) (/ z t)))
54.0ms	(* (- y x) (/ z t))

series111.0ms

Counts

2 → 6

Calls

2 calls:

60.0ms	(+ x (* (- y x) (/ z t)))
50.0ms	(* (- y x) (/ z t))

simplify1.1s

Counts

55 → 55

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	115	669
1	308	631
2	1520	581
done	5000	557

prune232.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- y x))
0.6b	(cbrt (- y x))
2.8b	(* (cbrt (- y x)) (/ z t))
3.8b	(* (* (cbrt (- y x)) (cbrt (- y x))) (* (cbrt (- y x)) (/ z t)))

rewrite214.0ms

Algorithm

rewrite-expression-head

Rules

116×	`cbrt-div`
84×	`frac-times`
58×	`flip3--` `flip--`
40×	`associate-*l/`
31×	`add-sqr-sqrt`
30×	`add-exp-log`
27×	`associate-*r/`
21×	`*-un-lft-identity`
18×	`pow1` `add-cbrt-cube`
17×	`cbrt-prod`
15×	`add-cube-cbrt` `prod-exp` `cbrt-unprod`
14×	`associate-r`
11×	`times-frac`
9×	`associate-l` `pow-prod-down`
4×	`add-log-exp` `unswap-sqr`
3×	`cbrt-undiv` `div-exp` `distribute-lft-out--` `difference-of-squares`
2×	`pow1/3` `*-commutative`
1×	`div-inv`

Counts

4 → 152

Calls

4 calls:

4.0ms	(cbrt (- y x))
4.0ms	(cbrt (- y x))
31.0ms	(* (cbrt (- y x)) (/ z t))
162.0ms	(* (* (cbrt (- y x)) (cbrt (- y x))) (* (cbrt (- y x)) (/ z t)))

series746.0ms

Counts

4 → 12

Calls

4 calls:

226.0ms	(cbrt (- y x))
221.0ms	(cbrt (- y x))
251.0ms	(* (cbrt (- y x)) (/ z t))
49.0ms	(* (* (cbrt (- y x)) (cbrt (- y x))) (* (cbrt (- y x)) (/ z t)))

simplify3.6s

Counts

164 → 164

Iterations

Useful iterations: done (3.6s)

Iter	Nodes	Cost
0	276	3800
1	854	3655
2	3869	3354
done	5001	3033

prune621.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- y x))
0.6b	(cbrt (- y x))
1.6b	(/ (* (cbrt (- y x)) z) t)
3.8b	(* (* (cbrt (- y x)) (cbrt (- y x))) (pow (/ (* (cbrt (- y x)) z) t) 1))

rewrite172.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-exp-log`
18×	`cbrt-div` `prod-exp`
17×	`add-sqr-sqrt`
15×	`*-un-lft-identity`
12×	`associate-*l/`
11×	`add-cube-cbrt` `associate-r` `add-cbrt-cube`
10×	`cbrt-prod`
9×	`flip3--` `flip--`
8×	`unpow-prod-down`
7×	`pow1`
6×	`times-frac` `div-exp` `pow-exp`
4×	`frac-times` `cbrt-unprod` `add-log-exp`
3×	`pow-prod-down` `associate-/r*` `unswap-sqr`
2×	`cbrt-undiv` `pow-to-exp` `pow1/3` `associate-*r/` `div-inv` `associate-/l/` `distribute-lft-out--` `difference-of-squares` `sqr-pow`
1×	`frac-2neg` `associate-l` `clear-num` `-commutative` `associate-/l`

Counts

4 → 98

Calls

4 calls:

8.0ms	(cbrt (- y x))
8.0ms	(cbrt (- y x))
32.0ms	(/ (* (cbrt (- y x)) z) t)
116.0ms	(* (* (cbrt (- y x)) (cbrt (- y x))) (pow (/ (* (cbrt (- y x)) z) t) 1))

series808.0ms

Counts

4 → 12

Calls

4 calls:

211.0ms	(cbrt (- y x))
264.0ms	(cbrt (- y x))
246.0ms	(/ (* (cbrt (- y x)) z) t)
86.0ms	(* (* (cbrt (- y x)) (cbrt (- y x))) (pow (/ (* (cbrt (- y x)) z) t) 1))

simplify2.9s

Counts

110 → 110

Iterations

Useful iterations: done (2.9s)

Iter	Nodes	Cost
0	209	1865
1	579	1666
2	3353	1370
done	5001	1235

prune544.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (pow (/ (- y x) (/ t z)) 1))
6.7b	(/ (- y x) (/ t z))

rewrite157.0ms

Algorithm

rewrite-expression-head

Rules

119×	`times-frac`
88×	`*-un-lft-identity`
86×	`add-sqr-sqrt`
58×	`add-cube-cbrt`
14×	`distribute-lft-out--` `difference-of-squares`
13×	`associate-/r*`
7×	`add-exp-log` `add-cbrt-cube` `div-inv`
5×	`associate-/l*`
4×	`add-log-exp`
3×	`cbrt-undiv` `div-exp`
2×	`pow1` `associate-/l/`
1×	`+-commutative` `flip3--` `frac-2neg` `flip3-+` `div-sub` `clear-num` `sum-log` `associate-/r/` `flip--` `flip-+` `distribute-lft-out`

Counts

2 → 113

Calls

2 calls:

109.0ms	(+ x (pow (/ (- y x) (/ t z)) 1))
42.0ms	(/ (- y x) (/ t z))

series129.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(+ x (pow (/ (- y x) (/ t z)) 1))
82.0ms	(/ (- y x) (/ t z))

simplify1.4s

Counts

119 → 119

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	219	1927
1	672	1779
2	3112	1695
done	5001	1691

prune464.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes212.0ms

Accuracy

0% (2.1b remaining)

Error of 2.1b against oracle of 0.0b and baseline of 2.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	10	11
1	13	9
done	13	9

end0.0ms

sample1.3s

Algorithm

intervals

Results

573.0ms

10680×

body

valid