Details

sample132.0ms

Algorithm

intervals

Results

90.0ms

653×

body

valid

simplify2.1s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	31
1	53	31
2	161	31
3	486	31
4	1645	31
done	5001	31

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a))))))
0.1b	(* (* a a) (+ 1.0 a))
0.3b	(pow (+ (* a a) (* b b)) 2.0)
0.4b	(* (* b b) (- 1.0 (* 3.0 a)))

rewrite170.0ms

Algorithm

rewrite-expression-head

Rules

15×	`pow1` `add-exp-log`
14×	`add-cbrt-cube`
10×	`add-sqr-sqrt` `*-un-lft-identity`
8×	`add-cube-cbrt`
7×	`associate-r`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
4×	`distribute-rgt-in` `distribute-lft-in` `associate-*r/`
3×	`unpow-prod-down` `pow-unpow`
2×	`sub-neg` `associate-+r+` `flip3-+` `associate-l` `*-commutative` `flip-+` `unswap-sqr`
1×	`+-commutative` `pow-to-exp` `flip3--` `pow-pow` `pow-exp` `sum-log` `flip--` `distribute-lft-out` `sqr-pow`

Counts

4 → 79

Calls

4 calls:

85.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a))))))
37.0ms	(* (* a a) (+ 1.0 a))
11.0ms	(pow (+ (* a a) (* b b)) 2.0)
33.0ms	(* (* b b) (- 1.0 (* 3.0 a)))

series440.0ms

Counts

4 → 12

Calls

4 calls:

158.0ms	(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a))))))
73.0ms	(* (* a a) (+ 1.0 a))
141.0ms	(pow (+ (* a a) (* b b)) 2.0)
69.0ms	(* (* b b) (- 1.0 (* 3.0 a)))

simplify3.2s

Counts

91 → 91

Iterations

Useful iterations: 2 (862.0ms)

Iter	Nodes	Cost
0	175	1540
1	551	1441
2	3826	1287
done	5000	1287

prune355.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (* b b) (- 1.0 (* 3.0 a)))
19.0b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
19.0b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
19.0b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

21×	`cbrt-prod`
12×	`add-sqr-sqrt`
11×	`add-cube-cbrt` `*-un-lft-identity`
9×	`pow1` `add-exp-log` `unpow-prod-down` `add-cbrt-cube`
4×	`add-log-exp`
3×	`pow1/3` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `sqr-pow`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`flip3--` `associate-l` `*-commutative` `flip--` `unswap-sqr`

Counts

4 → 70

Calls

4 calls:

37.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
17.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
18.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
19.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series779.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
250.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
228.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
209.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify1.1s

Counts

82 → 82

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	110	1276
1	275	1259
2	1450	1133
done	5000	1124

prune480.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize55.0ms

Local error

Found 4 expressions with local error:

19.0b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
19.0b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
19.0b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
19.0b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

28×	`cbrt-prod`
12×	`add-sqr-sqrt` `add-cube-cbrt` `unpow-prod-down` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp` `sqr-pow`

Counts

4 → 60

Calls

4 calls:

9.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
9.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
10.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
18.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series906.0ms

Counts

4 → 12

Calls

4 calls:

221.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
228.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
250.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
206.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify1.7s

Counts

72 → 72

Iterations

Useful iterations: 3 (119.0ms)

Iter	Nodes	Cost
0	57	1204
1	103	1188
2	219	1108
3	639	1096
4	2749	1096
done	5000	1096

prune629.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize48.0ms

Local error

Found 4 expressions with local error:

19.0b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
19.0b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
19.0b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
22.0b	(pow (pow (+ (* a a) (* b b)) 2.0) 1/3)

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

21×	`cbrt-prod`
19×	`unpow-prod-down`
13×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`add-exp-log`
5×	`sqr-pow`
4×	`pow1` `pow-exp` `add-cbrt-cube` `add-log-exp`
3×	`pow-unpow` `pow1/3`
2×	`pow-to-exp`
1×	`pow-pow` `unpow1/3`

Counts

4 → 69

Calls

4 calls:

9.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
17.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
29.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
21.0ms	(pow (pow (+ (* a a) (* b b)) 2.0) 1/3)

series865.0ms

Counts

4 → 12

Calls

4 calls:

196.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
211.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
267.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
189.0ms	(pow (pow (+ (* a a) (* b b)) 2.0) 1/3)

simplify877.0ms

Counts

81 → 81

Iterations

Useful iterations: 3 (419.0ms)

Iter	Nodes	Cost
0	98	1343
1	220	1210
2	566	1170
3	1809	1158
done	5001	1158

prune596.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.0b

regimes287.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	31
1	27	31
done	27	31

end0.0ms

sample3.7s

Algorithm

intervals

Results

3.0s

20608×

body

valid