Details

sample138.0ms

Algorithm

intervals

Results

111.0ms

664×

body

valid

simplify3.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
4	4021
3	726
2	183
1	56
0	18

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a)))))
0.1b	(* (* a a) (- 1 a))
0.3b	(pow (+ (* a a) (* b b)) 2)
0.7b	(* (* b b) (+ 3 a))

rewrite196.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt` `*-un-lft-identity`
22×	`add-cube-cbrt`
18×	`prod-diff`
15×	`pow1` `add-exp-log`
14×	`add-cbrt-cube`
13×	`distribute-rgt-in` `distribute-lft-in`
10×	`associate-r`
8×	`fma-def`
6×	`unpow-prod-down` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
4×	`expm1-log1p-u` `associate-*r/` `insert-posit16` `log1p-expm1-u`
3×	`pow-unpow`
2×	`associate-+r+` `sub-neg` `flip3-+` `associate-l` `*-commutative` `flip-+` `unpow2` `difference-of-squares` `unswap-sqr` `sqr-pow`
1×	`pow-to-exp` `+-commutative` `sum-log` `pow-pow` `flip3--` `pow-exp` `flip--` `distribute-lft-out` `distribute-lft-out--`

Counts

4 → 121

Calls

4 calls:

74.0ms	(+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a)))))
53.0ms	(* (* a a) (- 1 a))
17.0ms	(pow (+ (* a a) (* b b)) 2)
49.0ms	(* (* b b) (+ 3 a))

series342.0ms

Counts

4 → 12

Calls

4 calls:

141.0ms	(+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a)))))
75.0ms	(* (* a a) (- 1 a))
63.0ms	(pow (+ (* a a) (* b b)) 2)
64.0ms	(* (* b b) (+ 3 a))

simplify2.2s

Counts

133 → 133

Iterations

Iter	Nodes
done	5003
2	2428
1	724
0	229

prune722.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

localize71.0ms

Local error

Found 4 expressions with local error:

0.7b	(* (* b b) (+ 3 a))
22.1b	(cbrt (pow (+ (* a a) (* b b)) 2))
22.1b	(cbrt (pow (+ (* a a) (* b b)) 2))
22.1b	(cbrt (pow (+ (* a a) (* b b)) 2))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

24×	`cbrt-prod`
13×	`*-un-lft-identity`
12×	`add-sqr-sqrt`
11×	`add-cube-cbrt`
9×	`pow1` `unpow-prod-down` `add-cbrt-cube` `add-exp-log`
4×	`expm1-log1p-u` `associate-r` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `pow-prod-down` `prod-exp` `cbrt-unprod` `unpow2` `sqr-pow`
2×	`associate-*r/`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `associate-l` `*-commutative` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 84

Calls

4 calls:

46.0ms	(* (* b b) (+ 3 a))
13.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
14.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
14.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))

series509.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(* (* b b) (+ 3 a))
151.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
169.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
145.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))

simplify3.1s

Counts

96 → 96

Iterations

Iter	Nodes
done	5000
3	4204
2	925
1	272
0	103

prune763.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.1b

localize72.0ms

Local error

Found 4 expressions with local error:

22.1b	(cbrt (pow (+ (* a a) (* b b)) 2))
22.1b	(cbrt (pow (+ (* a a) (* b b)) 2))
22.1b	(cbrt (pow (+ (* a a) (* b b)) 2))
22.1b	(cbrt (pow (+ (* a a) (* b b)) 2))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

32×	`cbrt-prod`
12×	`add-sqr-sqrt` `unpow-prod-down` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `log1p-expm1-u` `unpow2` `add-log-exp` `sqr-pow`

Counts

4 → 76

Calls

4 calls:

7.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
14.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
14.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
24.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))

series580.0ms

Counts

4 → 12

Calls

4 calls:

150.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
136.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
153.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
140.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))

simplify1.8s

Counts

88 → 88

Iterations

Iter	Nodes
done	5038
4	2271
3	687
2	225
1	100
0	54

prune914.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.1b

localize112.0ms

Local error

Found 4 expressions with local error:

14.1b	(cbrt (* (cbrt (fma a a (* b b))) (fma a a (* b b))))
22.1b	(cbrt (pow (+ (* a a) (* b b)) 2))
22.1b	(cbrt (pow (+ (* a a) (* b b)) 2))
22.1b	(cbrt (pow (+ (* a a) (* b b)) 2))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
10×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`unpow-prod-down`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`unpow2` `sqr-pow`

Counts

4 → 69

Calls

4 calls:

7.0ms	(cbrt (* (cbrt (fma a a (* b b))) (fma a a (* b b))))
13.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
7.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
12.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))

series612.0ms

Counts

4 → 12

Calls

4 calls:

153.0ms	(cbrt (* (cbrt (fma a a (* b b))) (fma a a (* b b))))
156.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
170.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
133.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))

simplify2.2s

Counts

81 → 81

Iterations

Iter	Nodes
done	5001
4	3426
3	1044
2	349
1	152
0	83

prune956.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

regimes507.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	27
1	27
0	18

end0.0ms

sample4.2s

Algorithm

intervals

Results

3.8s

20122×

body

valid