Details

sample116.0ms

Algorithm

intervals

Results

92.0ms

729×

body

valid

simplify3.7s

Counts

1 → 1

Iterations

Iter	Nodes
6	4855
5	1985
4	584
3	159
2	60
1	27
0	12

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b)))
0.0b	(* 4 (* b b))
0.3b	(pow (+ (* a a) (* b b)) 2)

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `pow1` `add-exp-log`
8×	`fma-def` `*-un-lft-identity` `add-cbrt-cube` `add-cube-cbrt`
6×	`unpow-prod-down`
5×	`add-log-exp`
3×	`expm1-log1p-u` `pow-unpow` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u`
2×	`unpow2` `sqr-pow`
1×	`pow-to-exp` `+-commutative` `sum-log` `pow-pow` `flip3-+` `associate-r` `pow-exp` `*-commutative` `flip-+` `unswap-sqr`

Counts

3 → 65

Calls

3 calls:

53.0ms	(+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b)))
16.0ms	(* 4 (* b b))
14.0ms	(pow (+ (* a a) (* b b)) 2)

series190.0ms

Counts

3 → 9

Calls

3 calls:

85.0ms	(+ (pow (+ (* a a) (* b b)) 2) (* 4 (* b b)))
46.0ms	(* 4 (* b b))
58.0ms	(pow (+ (* a a) (* b b)) 2)

simplify2.0s

Counts

74 → 74

Iterations

Iter	Nodes
3	4205
2	910
1	271
0	102

prune512.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize46.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (pow (+ (* a a) (* b b)) 2)) (cbrt (pow (+ (* a a) (* b b)) 2)))
20.2b	(cbrt (pow (+ (* a a) (* b b)) 2))
20.2b	(cbrt (pow (+ (* a a) (* b b)) 2))
20.2b	(cbrt (pow (+ (* a a) (* b b)) 2))

rewrite160.0ms

Algorithm

rewrite-expression-head

Rules

96×	`cbrt-prod`
52×	`add-sqr-sqrt`
31×	`unpow-prod-down`
25×	`unswap-sqr`
22×	`*-un-lft-identity` `add-cube-cbrt`
17×	`unpow2` `sqr-pow`
11×	`pow1` `swap-sqr` `associate-r` `associate-l`
9×	`pow1/3`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `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 → 136

Calls

4 calls:

115.0ms	(* (cbrt (pow (+ (* a a) (* b b)) 2)) (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))
14.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))

series636.0ms

Counts

4 → 12

Calls

4 calls:

172.0ms	(* (cbrt (pow (+ (* a a) (* b b)) 2)) (cbrt (pow (+ (* a a) (* b b)) 2)))
175.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
139.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
150.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))

simplify1.4s

Counts

148 → 148

Iterations

Iter	Nodes
4	3307
3	1126
2	518
1	238
0	126

prune1.7s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize55.0ms

Local error

Found 4 expressions with local error:

20.2b	(cbrt (pow (+ (* a a) (* b b)) 2))
20.2b	(cbrt (pow (+ (* a a) (* b b)) 2))
20.2b	(cbrt (pow (+ (* a a) (* b b)) 2))
20.2b	(cbrt (pow (+ (* a a) (* b b)) 2))

rewrite62.0ms

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:

13.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
13.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
13.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
21.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))

series558.0ms

Counts

4 → 12

Calls

4 calls:

159.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
161.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
104.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
134.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))

simplify1.5s

Counts

88 → 88

Iterations

Iter	Nodes
5	3846
4	1112
3	452
2	196
1	100
0	54

prune1.3s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

10.4b	(cbrt (+ (* a a) (* b b)))
10.4b	(cbrt (+ (* a a) (* b b)))
20.2b	(cbrt (pow (+ (* a a) (* b b)) 2))
20.2b	(cbrt (pow (+ (* a a) (* b b)) 2))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

22×	`cbrt-prod`
10×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`unpow-prod-down`
4×	`expm1-log1p-u` `pow1` `cbrt-div` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`flip3-+` `flip-+` `unpow2` `sqr-pow`

Counts

4 → 70

Calls

4 calls:

8.0ms	(cbrt (+ (* a a) (* b b)))
6.0ms	(cbrt (+ (* a a) (* b b)))
7.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
7.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))

series558.0ms

Counts

4 → 12

Calls

4 calls:

126.0ms	(cbrt (+ (* a a) (* b b)))
145.0ms	(cbrt (+ (* a a) (* b b)))
158.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
129.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))

simplify4.7s

Counts

82 → 82

Iterations

Iter	Nodes
4	6414
3	1791
2	567
1	203
0	91

prune957.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

regimes482.0ms

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
2	15
1	15
0	12

end0.0ms

sample3.2s

Algorithm

intervals

Results

2.7s

20501×

body

valid