Details

sample189.0ms

Algorithm

intervals

Results

156.0ms

664×

body

valid

simplify3.1s

Counts

1 → 1

Iterations

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize45.0ms

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))

rewrite3.5s

Algorithm

rewrite-expression-head

Rules

89×	`*-un-lft-identity`
83×	`add-sqr-sqrt`
67×	`distribute-rgt-in` `distribute-lft-in`
64×	`associate-+r+`
56×	`add-cube-cbrt`
54×	`prod-diff`
45×	`associate-l`
44×	`associate-+l+`
16×	`unpow-prod-down` `associate-r`
15×	`pow1` `add-exp-log`
14×	`add-cbrt-cube` `unswap-sqr`
13×	`fma-def` `distribute-lft-out`
12×	`swap-sqr`
9×	`+-commutative`
6×	`sub-neg` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `add-log-exp`
4×	`expm1-log1p-u` `associate-*r/` `insert-posit16` `log1p-expm1-u`
3×	`pow-unpow`
2×	`flip3-+` `flip-+` `unpow2` `difference-of-squares` `sqr-pow`
1×	`pow-to-exp` `sum-log` `pow-pow` `flip3--` `pow-exp` `flip--` `distribute-lft-out--`

Counts

4 → 225

Calls

4 calls:

3.3s	(+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a)))))
62.0ms	(* (* a a) (- 1 a))
70.0ms	(pow (+ (* a a) (* b b)) 2)
72.0ms	(* (* b b) (+ 3 a))

series326.0ms

Counts

4 → 12

Calls

4 calls:

146.0ms	(+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a)))))
89.0ms	(* (* a a) (- 1 a))
48.0ms	(pow (+ (* a a) (* b b)) 2)
43.0ms	(* (* b b) (+ 3 a))

simplify2.5s

Counts

237 → 237

Iterations

Iter	Nodes
done	5000
2	3611
1	1134
0	366

prune1.0s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize47.0ms

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))

rewrite336.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 119

Calls

4 calls:

74.0ms	(* (* b b) (+ 3 a))
72.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
81.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
103.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))

series551.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(* (* b b) (+ 3 a))
174.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
154.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
164.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))

simplify3.1s

Counts

131 → 131

Iterations

Iter	Nodes
done	5000
3	4903
2	1237
1	389
0	124

prune925.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.1b

localize71.0ms

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))

rewrite359.0ms

Algorithm

rewrite-expression-head

Rules

60×	`*-un-lft-identity`
52×	`cbrt-prod`
32×	`unpow-prod-down`
20×	`distribute-lft-out`
16×	`associate-l`
12×	`add-sqr-sqrt` `add-cube-cbrt`
8×	`swap-sqr`
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 → 96

Calls

4 calls:

79.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
85.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
72.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
120.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))

series583.0ms

Counts

4 → 12

Calls

4 calls:

166.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
126.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
151.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
140.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))

simplify1.7s

Counts

108 → 108

Iterations

Iter	Nodes
done	5000
4	1796
3	676
2	233
1	103
0	57

prune900.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.1b

localize105.0ms

Local error

Found 4 expressions with local error:

14.1b	(cbrt (* (fma a a (* b b)) (cbrt (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))

rewrite236.0ms

Algorithm

rewrite-expression-head

Rules

59×	`cbrt-prod`
50×	`*-un-lft-identity`
24×	`unpow-prod-down`
18×	`add-sqr-sqrt`
15×	`associate-l` `distribute-lft-out`
14×	`add-cube-cbrt`
6×	`swap-sqr` `associate-r`
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`
2×	`unswap-sqr`
1×	`*-commutative`

Counts

4 → 99

Calls

4 calls:

8.0ms	(cbrt (* (fma a a (* b b)) (cbrt (fma a a (* b b)))))
75.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
81.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
69.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))

series934.0ms

Counts

4 → 12

Calls

4 calls:

166.0ms	(cbrt (* (fma a a (* b b)) (cbrt (fma a a (* b b)))))
133.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
462.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
172.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))

simplify3.2s

Counts

111 → 111

Iterations

Iter	Nodes
done	5001
4	4288
3	1377
2	492
1	195
0	116

prune1.1s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes518.0ms

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	18

end0.0ms

sample4.0s

Algorithm

intervals

Results

3.6s

20122×

body

valid