Details

sample42.0ms

Algorithm

intervals

Results

18.0ms

332×

body

valid

simplify5.5s

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	93	9
5	121	9
6	139	9
7	159	9
8	192	9
9	249	9
10	278	9
11	313	9
12	349	9
13	374	9
14	390	9
15	477	9
16	568	9
17	818	9
18	1143	9
19	1570	9
20	1655	9
21	1656	9
done	1656	9

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.6b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (- y x) (/ z t)))
5.6b	(* (- y x) (/ z t))

rewrite49.0ms

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)))
39.0ms	(* (- y x) (/ z t))

series116.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(+ x (* (- y x) (/ z t)))
70.0ms	(* (- y x) (/ z t))

simplify3.4s

Counts

55 → 55

Iterations

Useful iterations: 3 (1.7s)

Iter	Nodes	Cost
0	115	669
1	293	627
2	1083	581
3	4484	557
done	5001	557

prune208.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- y x))
0.6b	(cbrt (- y x))
2.8b	(* (* (cbrt (- y x)) (cbrt (- y x))) (* (cbrt (- y x)) (/ z t)))
2.9b	(* (cbrt (- y x)) (/ z t))

rewrite232.0ms

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))
163.0ms	(* (* (cbrt (- y x)) (cbrt (- y x))) (* (cbrt (- y x)) (/ z t)))
51.0ms	(* (cbrt (- y x)) (/ z t))

series794.0ms

Counts

4 → 12

Calls

4 calls:

243.0ms	(cbrt (- y x))
214.0ms	(cbrt (- y x))
59.0ms	(* (* (cbrt (- y x)) (cbrt (- y x))) (* (cbrt (- y x)) (/ z t)))
277.0ms	(* (cbrt (- y x)) (/ z t))

simplify3.1s

Counts

164 → 164

Iterations

Useful iterations: done (3.1s)

Iter	Nodes	Cost
0	276	3800
1	772	3651
2	2030	3249
done	5000	3033

prune662.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

2.1b	(* (- y x) (* (cbrt (/ z t)) (cbrt (/ z t))))
10.5b	(cbrt (/ z t))
10.5b	(cbrt (/ z t))
10.5b	(cbrt (/ z t))

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

39×	`cbrt-prod`
29×	`add-sqr-sqrt`
28×	`*-un-lft-identity`
27×	`times-frac`
26×	`add-cube-cbrt`
15×	`cbrt-div`
9×	`pow1` `add-exp-log` `frac-times`
7×	`add-cbrt-cube`
6×	`associate-*r/`
5×	`associate-l` `associate-*l/`
4×	`flip3--` `flip--` `add-log-exp`
3×	`pow1/3` `pow-prod-down` `prod-exp` `cbrt-unprod` `div-inv`
1×	`associate-r` `*-commutative` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 98

Calls

4 calls:

83.0ms	(* (- y x) (* (cbrt (/ z t)) (cbrt (/ z t))))
2.0ms	(cbrt (/ z t))
2.0ms	(cbrt (/ z t))
3.0ms	(cbrt (/ z t))

series460.0ms

Counts

4 → 12

Calls

4 calls:

207.0ms	(* (- y x) (* (cbrt (/ z t)) (cbrt (/ z t))))
82.0ms	(cbrt (/ z t))
86.0ms	(cbrt (/ z t))
84.0ms	(cbrt (/ z t))

simplify2.0s

Counts

110 → 110

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	162	1383
1	336	1296
2	865	1187
3	2801	1162
done	5001	1045

prune537.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (/ 1 t))
2.1b	(* (- y x) (* (cbrt (/ z t)) (cbrt (/ z t))))
10.5b	(cbrt (/ z t))
10.5b	(cbrt (/ z t))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

39×	`cbrt-prod`
29×	`add-sqr-sqrt`
28×	`*-un-lft-identity`
27×	`times-frac`
26×	`add-cube-cbrt`
15×	`cbrt-div`
9×	`pow1` `add-exp-log` `frac-times`
7×	`add-cbrt-cube`
6×	`associate-*r/`
5×	`associate-l` `associate-*l/`
4×	`flip3--` `flip--` `add-log-exp`
3×	`pow1/3` `pow-prod-down` `prod-exp` `cbrt-unprod` `div-inv`
1×	`associate-r` `*-commutative` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 98

Calls

4 calls:

3.0ms	(cbrt (/ 1 t))
61.0ms	(* (- y x) (* (cbrt (/ z t)) (cbrt (/ z t))))
5.0ms	(cbrt (/ z t))
5.0ms	(cbrt (/ z t))

series635.0ms

Counts

4 → 12

Calls

4 calls:

253.0ms	(cbrt (/ 1 t))
204.0ms	(* (- y x) (* (cbrt (/ z t)) (cbrt (/ z t))))
89.0ms	(cbrt (/ z t))
89.0ms	(cbrt (/ z t))

simplify2.0s

Counts

110 → 110

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	204	1367
1	400	1262
2	975	1144
3	3041	1122
done	5001	1016

prune464.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes308.0ms

Accuracy

-18.8% (2.3b remaining)

Error of 2.3b against oracle of 0.0b and baseline of 2.0b

bsearch108.0ms

Steps

Iters	Range		Point
9	1.4838895886297806e-273	3.9955606630812066e-268	4.07875646090157e-273
8	-1.4237771402059297e-13	-4.201261092864505e-18	-5.554823316875535e-17

simplify3.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	17	35
1	24	27
done	24	27

end0.0ms

sample1.2s

Algorithm

intervals

Results

550.0ms

10698×

body

valid