Details

sample93.0ms

Algorithm

intervals

Results

64.0ms

673×

body

valid

simplify2.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5002
4	2092
3	566
2	172
1	53
0	18

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (- 1.0 a) a (* b b))
0.1b	(fma (* b b) 3.0 (* (fma (- 1.0 a) a (* b b)) a))
0.1b	(* (fma (- 1.0 a) a (* b b)) a)
0.4b	(pow (fma b b (* a a)) 2.0)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`pow1` `add-exp-log`
6×	`add-cbrt-cube`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `unpow-prod-down` `associate-r` `associate-l`
2×	`fma-udef`
1×	`pow-to-exp` `pow-pow` `pow-prod-down` `pow-exp` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr` `sqr-pow`

Counts

4 → 59

Calls

4 calls:

0.0ms	(fma (- 1.0 a) a (* b b))
0.0ms	(fma (* b b) 3.0 (* (fma (- 1.0 a) a (* b b)) a))
7.0ms	(* (fma (- 1.0 a) a (* b b)) a)
4.0ms	(pow (fma b b (* a a)) 2.0)

series324.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(fma (- 1.0 a) a (* b b))
68.0ms	(fma (* b b) 3.0 (* (fma (- 1.0 a) a (* b b)) a))
64.0ms	(* (fma (- 1.0 a) a (* b b)) a)
141.0ms	(pow (fma b b (* a a)) 2.0)

simplify835.0ms

Counts

71 → 71

Iterations

Iter	Nodes
done	5000
2	875
1	240
0	109

prune647.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize81.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (pow (fma b b (* a a)) 2.0)) (cbrt (pow (fma b b (* a a)) 2.0)))
17.2b	(cbrt (pow (fma b b (* a a)) 2.0))
17.2b	(cbrt (pow (fma b b (* a a)) 2.0))
17.2b	(cbrt (pow (fma b b (* a a)) 2.0))

rewrite47.0ms

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:

32.0ms	(* (cbrt (pow (fma b b (* a a)) 2.0)) (cbrt (pow (fma b b (* a a)) 2.0)))
3.0ms	(cbrt (pow (fma b b (* a a)) 2.0))
3.0ms	(cbrt (pow (fma b b (* a a)) 2.0))
3.0ms	(cbrt (pow (fma b b (* a a)) 2.0))

series879.0ms

Counts

4 → 12

Calls

4 calls:

215.0ms	(* (cbrt (pow (fma b b (* a a)) 2.0)) (cbrt (pow (fma b b (* a a)) 2.0)))
222.0ms	(cbrt (pow (fma b b (* a a)) 2.0))
189.0ms	(cbrt (pow (fma b b (* a a)) 2.0))
254.0ms	(cbrt (pow (fma b b (* a a)) 2.0))

simplify1.1s

Counts

129 → 129

Iterations

Iter	Nodes
done	5001
2	994
1	242
0	122

prune881.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.1b

localize73.0ms

Local error

Found 4 expressions with local error:

9.7b	(cbrt (sqrt (pow (fma b b (* a a)) 2.0)))
9.7b	(cbrt (sqrt (pow (fma b b (* a a)) 2.0)))
17.2b	(cbrt (pow (fma b b (* a a)) 2.0))
17.2b	(cbrt (pow (fma b b (* a a)) 2.0))

rewrite9.0ms

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:

2.0ms	(cbrt (sqrt (pow (fma b b (* a a)) 2.0)))
2.0ms	(cbrt (sqrt (pow (fma b b (* a a)) 2.0)))
1.0ms	(cbrt (pow (fma b b (* a a)) 2.0))
2.0ms	(cbrt (pow (fma b b (* a a)) 2.0))

series693.0ms

Counts

4 → 12

Calls

4 calls:

168.0ms	(cbrt (sqrt (pow (fma b b (* a a)) 2.0)))
173.0ms	(cbrt (sqrt (pow (fma b b (* a a)) 2.0)))
178.0ms	(cbrt (pow (fma b b (* a a)) 2.0))
174.0ms	(cbrt (pow (fma b b (* a a)) 2.0))

simplify1.6s

Counts

86 → 86

Iterations

Iter	Nodes
done	5001
4	4108
3	925
2	324
1	160
0	95

prune686.0ms

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 0.0b

localize85.0ms

Local error

Found 4 expressions with local error:

9.7b	(cbrt (fma b b (* a a)))
12.8b	(cbrt (pow (* (cbrt (fma b b (* a a))) (cbrt (fma b b (* a a)))) 2.0))
17.2b	(cbrt (pow (fma b b (* a a)) 2.0))
17.2b	(cbrt (pow (fma b b (* a a)) 2.0))

rewrite7.0ms

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`

Counts

4 → 62

Calls

4 calls:

1.0ms	(cbrt (fma b b (* a a)))
2.0ms	(cbrt (pow (* (cbrt (fma b b (* a a))) (cbrt (fma b b (* a a)))) 2.0))
1.0ms	(cbrt (pow (fma b b (* a a)) 2.0))
2.0ms	(cbrt (pow (fma b b (* a a)) 2.0))

series624.0ms

Counts

4 → 12

Calls

4 calls:

113.0ms	(cbrt (fma b b (* a a)))
167.0ms	(cbrt (pow (* (cbrt (fma b b (* a a))) (cbrt (fma b b (* a a)))) 2.0))
170.0ms	(cbrt (pow (fma b b (* a a)) 2.0))
174.0ms	(cbrt (pow (fma b b (* a a)) 2.0))

simplify1.3s

Counts

74 → 74

Iterations

Iter	Nodes
done	5001
3	1533
2	467
1	210
0	112

prune595.0ms

Pruning

15 alts after pruning (12 fresh and 3 done)

Merged error: 0.0b

regimes263.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	17
1	17
0	16

end0.0ms

sample2.4s

Algorithm

intervals

Results

2.0s

20710×

body

valid