Details

sample158.0ms

Algorithm

intervals

Results

116.0ms

673×

body

valid

simplify2.1s

Counts

1 → 1

Iterations

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize52.0ms

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)

rewrite96.0ms

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:

10.0ms	(+ (* a a) (* b b))
52.0ms	(* (* a a) (+ 1.0 a))
23.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
8.0ms	(pow (+ (* a a) (* b b)) 2.0)

series360.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(+ (* a a) (* b b))
75.0ms	(* (* a a) (+ 1.0 a))
91.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
154.0ms	(pow (+ (* a a) (* b b)) 2.0)

simplify3.7s

Counts

89 → 89

Iterations

Iter	Nodes
done	5000
2	4163
1	522
0	155

prune550.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize122.0ms

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))

rewrite136.0ms

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:

87.0ms	(* (cbrt (pow (+ (* a a) (* b b)) 2.0)) (cbrt (pow (+ (* a a) (* b b)) 2.0)))
14.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
13.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
15.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series831.0ms

Counts

4 → 12

Calls

4 calls:

174.0ms	(* (cbrt (pow (+ (* a a) (* b b)) 2.0)) (cbrt (pow (+ (* a a) (* b b)) 2.0)))
190.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
239.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
228.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify1.4s

Counts

121 → 121

Iterations

Iter	Nodes
done	5000
2	979
1	237
0	119

prune964.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

localize143.0ms

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))

rewrite54.0ms

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:

13.0ms	(cbrt (sqrt (pow (+ (* a a) (* b b)) 2.0)))
14.0ms	(cbrt (sqrt (pow (+ (* a a) (* b b)) 2.0)))
12.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
13.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series817.0ms

Counts

4 → 12

Calls

4 calls:

200.0ms	(cbrt (sqrt (pow (+ (* a a) (* b b)) 2.0)))
188.0ms	(cbrt (sqrt (pow (+ (* a a) (* b b)) 2.0)))
191.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
237.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify2.5s

Counts

78 → 78

Iterations

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

prune803.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 0.0b

localize120.0ms

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))

rewrite29.0ms

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:

4.0ms	(cbrt (+ (* a a) (* b b)))
9.0ms	(cbrt (pow (* (cbrt (+ (* a a) (* b b))) (cbrt (+ (* a a) (* b b)))) 2.0))
7.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
7.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series863.0ms

Counts

4 → 12

Calls

4 calls:

176.0ms	(cbrt (+ (* a a) (* b b)))
219.0ms	(cbrt (pow (* (cbrt (+ (* a a) (* b b))) (cbrt (+ (* a a) (* b b)))) 2.0))
254.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
214.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify3.0s

Counts

68 → 68

Iterations

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

prune864.0ms

Pruning

14 alts after pruning (11 fresh and 3 done)

Merged error: 0.0b

regimes895.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	27
1	27
0	19

end0.0ms

sample3.3s

Algorithm

intervals

Results

2.8s

20710×

body

valid