Details

sample62.0ms

Algorithm

intervals

Results

38.0ms

708×

body

valid

simplify95.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	53	15
1	161	15
2	459	15
3	1323	15
4	2992	15
5	5001	15
done	5001	15

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1.0 (* 3.0 a))
0.1b	(* (* a a) (+ 1.0 a))
0.2b	(* (* b b) (- 1.0 (* 3.0 a)))
0.3b	(pow (+ (* a a) (* b b)) 2.0)

rewrite79.0ms

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×	`associate-*r/`
3×	`distribute-rgt-in` `sub-neg` `unpow-prod-down` `pow-unpow` `distribute-lft-in`
2×	`flip3--` `associate-l` `*-commutative` `flip--` `unswap-sqr`
1×	`pow-to-exp` `pow-pow` `flip3-+` `diff-log` `pow-exp` `flip-+` `distribute-lft-out` `sqr-pow`

Counts

4 → 78

Calls

4 calls:

5.0ms	(- 1.0 (* 3.0 a))
34.0ms	(* (* a a) (+ 1.0 a))
28.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
10.0ms	(pow (+ (* a a) (* b b)) 2.0)

series247.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(- 1.0 (* 3.0 a))
49.0ms	(* (* a a) (+ 1.0 a))
53.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
106.0ms	(pow (+ (* a a) (* b b)) 2.0)

simplify55.0ms

Counts

90 → 90

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	408	475
1	1999	415
2	5002	415
done	5002	415

prune227.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (pow (+ (* a a) (* b b)) 2.0)) (cbrt (pow (+ (* a a) (* b b)) 2.0)))
23.1b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
23.1b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
23.1b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

73×	`cbrt-prod`
46×	`add-sqr-sqrt`
29×	`unpow-prod-down`
22×	`add-cube-cbrt` `*-un-lft-identity`
16×	`unswap-sqr`
15×	`sqr-pow`
11×	`pow1`
10×	`swap-sqr` `associate-r` `associate-l`
9×	`pow1/3`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 109

Calls

4 calls:

77.0ms	(* (cbrt (pow (+ (* a a) (* b b)) 2.0)) (cbrt (pow (+ (* a a) (* b b)) 2.0)))
9.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
9.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
11.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series597.0ms

Counts

4 → 12

Calls

4 calls:

145.0ms	(* (cbrt (pow (+ (* a a) (* b b)) 2.0)) (cbrt (pow (+ (* a a) (* b b)) 2.0)))
150.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
148.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
153.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify97.0ms

Counts

121 → 121

Iterations

Useful iterations: 3 (85.0ms)

Iter	Nodes	Cost
0	211	1498
1	681	1419
2	3274	1337
3	5001	1330
done	5001	1330

prune463.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

8.5b	(cbrt (pow (+ (* a a) (* b b)) (/ 2.0 2)))
8.5b	(cbrt (pow (+ (* a a) (* b b)) (/ 2.0 2)))
23.1b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
23.1b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite40.0ms

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:

11.0ms	(cbrt (pow (+ (* a a) (* b b)) (/ 2.0 2)))
9.0ms	(cbrt (pow (+ (* a a) (* b b)) (/ 2.0 2)))
9.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
9.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series614.0ms

Counts

4 → 12

Calls

4 calls:

153.0ms	(cbrt (pow (+ (* a a) (* b b)) (/ 2.0 2)))
153.0ms	(cbrt (pow (+ (* a a) (* b b)) (/ 2.0 2)))
156.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
153.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify46.0ms

Counts

72 → 72

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	156	678
1	373	630
2	1313	614
3	5001	614
done	5001	614

prune380.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

8.5b	(cbrt (pow (+ (* a a) (* b b)) (/ 2.0 2)))
8.5b	(cbrt (pow (+ (* a a) (* b b)) (/ 2.0 2)))
23.1b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
23.1b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite38.0ms

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 2)))
9.0ms	(cbrt (pow (+ (* a a) (* b b)) (/ 2.0 2)))
9.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
9.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series619.0ms

Counts

4 → 12

Calls

4 calls:

150.0ms	(cbrt (pow (+ (* a a) (* b b)) (/ 2.0 2)))
154.0ms	(cbrt (pow (+ (* a a) (* b b)) (/ 2.0 2)))
148.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
167.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify48.0ms

Counts

72 → 72

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	156	678
1	373	630
2	1313	614
3	5001	614
done	5001	614

prune411.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes223.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	15
1	27	15
done	27	15

end0.0ms

sample1.6s

Algorithm

intervals

Results

1.2s

20783×

body

valid