Details

sample140.0ms

Algorithm

intervals

Results

105.0ms

673×

body

valid

simplify3.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
4	2195
3	588
2	179
1	55
0	19

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize32.0ms

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)

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

15×	`pow1` `add-exp-log`
14×	`add-cbrt-cube`
12×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`add-cube-cbrt`
7×	`associate-r`
6×	`distribute-rgt-in` `distribute-lft-in` `prod-diff` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
4×	`expm1-log1p-u` `associate-*r/` `log1p-expm1-u`
3×	`pow-unpow` `unpow-prod-down`
2×	`sub-neg` `flip3-+` `associate-l` `*-commutative` `flip-+` `unswap-sqr`
1×	`pow-to-exp` `+-commutative` `sum-log` `pow-pow` `fma-def` `flip3--` `pow-exp` `flip--` `distribute-lft-out` `sqr-pow`

Counts

4 → 92

Calls

4 calls:

6.0ms	(+ (* a a) (* b b))
35.0ms	(* (* a a) (+ 1.0 a))
41.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
10.0ms	(pow (+ (* a a) (* b b)) 2.0)

series287.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(+ (* a a) (* b b))
54.0ms	(* (* a a) (+ 1.0 a))
61.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
137.0ms	(pow (+ (* a a) (* b b)) 2.0)

simplify2.9s

Counts

104 → 104

Iterations

Iter	Nodes
done	5000
2	4710
1	582
0	181

prune549.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize94.0ms

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))

rewrite134.0ms

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×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 117

Calls

4 calls:

101.0ms	(* (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))
13.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series791.0ms

Counts

4 → 12

Calls

4 calls:

180.0ms	(* (cbrt (pow (+ (* a a) (* b b)) 2.0)) (cbrt (pow (+ (* a a) (* b b)) 2.0)))
193.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
206.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
212.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify1.1s

Counts

129 → 129

Iterations

Iter	Nodes
done	5000
2	993
1	244
0	123

prune1.1s

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

localize117.0ms

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))

rewrite50.0ms

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×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `log1p-expm1-u` `add-log-exp` `sqr-pow`

Counts

4 → 74

Calls

4 calls:

12.0ms	(cbrt (sqrt (pow (+ (* a a) (* b b)) 2.0)))
12.0ms	(cbrt (sqrt (pow (+ (* a a) (* b b)) 2.0)))
11.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
12.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

series774.0ms

Counts

4 → 12

Calls

4 calls:

227.0ms	(cbrt (sqrt (pow (+ (* a a) (* b b)) 2.0)))
195.0ms	(cbrt (sqrt (pow (+ (* a a) (* b b)) 2.0)))
178.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
174.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify2.2s

Counts

86 → 86

Iterations

Iter	Nodes
done	5000
4	4081
3	926
2	328
1	161
0	96

prune974.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 0.0b

localize128.0ms

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))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

22×	`cbrt-prod`
10×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
7×	`unpow-prod-down`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `log1p-expm1-u` `add-log-exp`
3×	`sqr-pow`
2×	`cbrt-div`
1×	`flip3-+` `flip-+`

Counts

4 → 64

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))

series743.0ms

Counts

4 → 12

Calls

4 calls:

140.0ms	(cbrt (+ (* a a) (* b b)))
190.0ms	(cbrt (pow (* (cbrt (+ (* a a) (* b b))) (cbrt (+ (* a a) (* b b)))) 2.0))
196.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))
217.0ms	(cbrt (pow (+ (* a a) (* b b)) 2.0))

simplify2.9s

Counts

76 → 76

Iterations

Iter	Nodes
done	5000
3	4379
2	852
1	282
0	128

prune910.0ms

Pruning

14 alts after pruning (11 fresh and 3 done)

Merged error: 0.0b

regimes853.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
done	27
1	27
0	19

end0.0ms

sample3.2s

Algorithm

intervals

Results

2.7s

20710×

body

valid