Details

sample162.0ms

Algorithm

intervals

Results

121.0ms

673×

body

valid

simplify2.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
4	1716
3	492
2	161
1	53
0	19

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize74.0ms

Local error

Found 4 expressions with local error:

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

rewrite101.0ms

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

Counts

4 → 77

Calls

4 calls:

12.0ms	(+ (* a a) (* b b))
44.0ms	(* (* a a) (+ 1.0 a))
26.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
16.0ms	(pow (+ (* a a) (* b b)) 2.0)

series445.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(+ (* a a) (* b b))
93.0ms	(* (* a a) (+ 1.0 a))
115.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
196.0ms	(pow (+ (* a a) (* b b)) 2.0)

simplify3.8s

Counts

89 → 89

Iterations

Iter	Nodes
done	5000
2	4163
1	522
0	155

prune634.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize124.0ms

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)))
17.2b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
17.2b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
17.2b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite143.0ms

Algorithm

rewrite-expression-head

Rules

73×	`cbrt-prod`
46×	`add-sqr-sqrt`
29×	`unpow-prod-down`
22×	`*-un-lft-identity` `add-cube-cbrt`
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:

117.0ms	(* (cbrt (pow (+ (* a a) (* b b)) 2.0)) (cbrt (pow (+ (* a a) (* b b)) 2.0)))
7.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
7.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
8.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series1.0s

Counts

4 → 12

Calls

4 calls:

292.0ms	(* (cbrt (pow (+ (* a a) (* b b)) 2.0)) (cbrt (pow (+ (* a a) (* b b)) 2.0)))
243.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
203.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
267.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify1.4s

Counts

121 → 121

Iterations

Iter	Nodes
done	5000
2	979
1	237
0	119

prune925.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

localize146.0ms

Local error

Found 4 expressions with local error:

9.7b	(cbrt (sqrt (pow (+ (* a a) (* b b)) 2.0)))
9.7b	(cbrt (sqrt (pow (+ (* a a) (* b b)) 2.0)))
17.2b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
17.2b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 66

Calls

4 calls:

15.0ms	(cbrt (sqrt (pow (+ (* a a) (* b b)) 2.0)))
15.0ms	(cbrt (sqrt (pow (+ (* a a) (* b b)) 2.0)))
13.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
14.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series1.1s

Counts

4 → 12

Calls

4 calls:

283.0ms	(cbrt (sqrt (pow (+ (* a a) (* b b)) 2.0)))
300.0ms	(cbrt (sqrt (pow (+ (* a a) (* b b)) 2.0)))
248.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
238.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify2.9s

Counts

78 → 78

Iterations

Iter	Nodes
done	5001
4	4634
3	986
2	327
1	155
0	92

prune970.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 0.0b

localize141.0ms

Local error

Found 4 expressions with local error:

9.7b	(cbrt (+ (* a a) (* b b)))
12.8b	(cbrt (pow (* (cbrt (+ (* a a) (* b b))) (cbrt (+ (* a a) (* b b)))) 2.0))
17.2b	(cbrt (pow (+ (* a a) (* b b)) 2.0))
17.2b	(cbrt (pow (+ (* a a) (* b b)) 2.0))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

22×	`cbrt-prod`
10×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
7×	`unpow-prod-down`
4×	`pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `add-log-exp`
3×	`sqr-pow`
2×	`cbrt-div`
1×	`flip3-+` `flip-+`

Counts

4 → 56

Calls

4 calls:

6.0ms	(cbrt (+ (* a a) (* b b)))
11.0ms	(cbrt (pow (* (cbrt (+ (* a a) (* b b))) (cbrt (+ (* a a) (* b b)))) 2.0))
7.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
8.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series900.0ms

Counts

4 → 12

Calls

4 calls:

154.0ms	(cbrt (+ (* a a) (* b b)))
252.0ms	(cbrt (pow (* (cbrt (+ (* a a) (* b b))) (cbrt (+ (* a a) (* b b)))) 2.0))
235.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
260.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify3.4s

Counts

68 → 68

Iterations

Iter	Nodes
done	5000
3	4211
2	827
1	269
0	122

prune780.0ms

Pruning

14 alts after pruning (11 fresh and 3 done)

Merged error: 0.0b

regimes1.4s

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify8.0ms

Iterations

Iter	Nodes
done	27
1	27
0	19

end0.0ms

sample3.8s

Algorithm

intervals

Results

3.3s

20710×

body

valid