Details

sample145.0ms

Algorithm

intervals

Results

97.0ms

643×

body

valid

simplify4.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
4	1809
3	551
2	177
1	55
0	19

prune44.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize72.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma 4.0 (fma (* a a) (+ a 1.0) (* (* b b) (- 1.0 (* 3.0 a)))) (- (pow (fma b b (* a a)) 2.0) 1.0))
0.1b	(fma (* a a) (+ a 1.0) (* (* b b) (- 1.0 (* 3.0 a))))
0.3b	(pow (fma b b (* a a)) 2.0)
0.7b	(* (* b b) (- 1.0 (* 3.0 a)))

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `pow1` `add-exp-log`
9×	`*-un-lft-identity` `add-cbrt-cube` `add-cube-cbrt`
6×	`prod-diff`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `unpow-prod-down` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`sub-neg` `associate-*r/` `fma-udef`
1×	`pow-to-exp` `pow-pow` `flip3--` `associate-l` `pow-exp` `*-commutative` `flip--` `unswap-sqr` `sqr-pow`

Counts

4 → 76

Calls

4 calls:

2.0ms	(fma 4.0 (fma (* a a) (+ a 1.0) (* (* b b) (- 1.0 (* 3.0 a)))) (- (pow (fma b b (* a a)) 2.0) 1.0))
2.0ms	(fma (* a a) (+ a 1.0) (* (* b b) (- 1.0 (* 3.0 a))))
8.0ms	(pow (fma b b (* a a)) 2.0)
83.0ms	(* (* b b) (- 1.0 (* 3.0 a)))

series646.0ms

Counts

4 → 12

Calls

4 calls:

176.0ms	(fma 4.0 (fma (* a a) (+ a 1.0) (* (* b b) (- 1.0 (* 3.0 a)))) (- (pow (fma b b (* a a)) 2.0) 1.0))
124.0ms	(fma (* a a) (+ a 1.0) (* (* b b) (- 1.0 (* 3.0 a))))
249.0ms	(pow (fma b b (* a a)) 2.0)
97.0ms	(* (* b b) (- 1.0 (* 3.0 a)))

simplify3.1s

Counts

88 → 88

Iterations

Iter	Nodes
done	5000
2	1308
1	413
0	163

prune1.2s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize282.0ms

Local error

Found 4 expressions with local error:

0.3b	(pow (fma b b (* a a)) 2.0)
0.7b	(* (* b b) (- 1.0 (* 3.0 a)))
0.7b	(* (* b b) (- 1.0 (* 3.0 a)))
0.7b	(* (* b b) (- 1.0 (* 3.0 a)))

rewrite227.0ms

Algorithm

rewrite-expression-head

Rules

20×	`pow1` `add-exp-log`
19×	`add-cbrt-cube`
18×	`add-sqr-sqrt` `prod-diff`
15×	`distribute-rgt-in` `*-un-lft-identity` `distribute-lft-in` `add-cube-cbrt`
9×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`sub-neg` `associate-*r/`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `unpow-prod-down` `flip3--` `associate-l` `*-commutative` `flip--` `unswap-sqr`
1×	`pow-to-exp` `pow-pow` `pow-exp` `sqr-pow`

Counts

4 → 122

Calls

4 calls:

7.0ms	(pow (fma b b (* a a)) 2.0)
49.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
77.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
77.0ms	(* (* b b) (- 1.0 (* 3.0 a)))

series526.0ms

Counts

4 → 12

Calls

4 calls:

262.0ms	(pow (fma b b (* a a)) 2.0)
86.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
87.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
91.0ms	(* (* b b) (- 1.0 (* 3.0 a)))

simplify8.3s

Counts

134 → 134

Iterations

Iter	Nodes
done	5000
3	4759
2	1006
1	326
0	123

prune1.6s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

localize307.0ms

Local error

Found 4 expressions with local error:

0.7b	(* (* b b) (- 1.0 (* 3.0 a)))
18.7b	(cbrt (pow (fma b b (* a a)) 2.0))
18.7b	(cbrt (pow (fma b b (* a a)) 2.0))
18.7b	(cbrt (pow (fma b b (* a a)) 2.0))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

21×	`cbrt-prod`
14×	`add-sqr-sqrt`
13×	`*-un-lft-identity` `add-cube-cbrt`
9×	`pow1` `unpow-prod-down` `add-cbrt-cube` `add-exp-log`
6×	`prod-diff`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `sqr-pow`
2×	`sub-neg` `associate-*r/`
1×	`flip3--` `associate-l` `*-commutative` `flip--` `unswap-sqr`

Counts

4 → 88

Calls

4 calls:

50.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
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))

series1.2s

Counts

4 → 12

Calls

4 calls:

85.0ms	(* (* b b) (- 1.0 (* 3.0 a)))
376.0ms	(cbrt (pow (fma b b (* a a)) 2.0))
389.0ms	(cbrt (pow (fma b b (* a a)) 2.0))
375.0ms	(cbrt (pow (fma b b (* a a)) 2.0))

simplify6.7s

Counts

100 → 100

Iterations

Iter	Nodes
done	5001
3	3730
2	956
1	321
0	133

prune2.0s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize372.0ms

Local error

Found 4 expressions with local error:

10.9b	(cbrt (fma b b (* a a)))
15.0b	(cbrt (pow (* (cbrt (fma b b (* a a))) (cbrt (fma b b (* a a)))) 2.0))
18.7b	(cbrt (pow (fma b b (* a a)) 2.0))
18.7b	(cbrt (pow (fma b b (* a a)) 2.0))

rewrite16.0ms

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` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`sqr-pow`

Counts

4 → 66

Calls

4 calls:

2.0ms	(cbrt (fma b b (* a a)))
5.0ms	(cbrt (pow (* (cbrt (fma b b (* a a))) (cbrt (fma b b (* a a)))) 2.0))
3.0ms	(cbrt (pow (fma b b (* a a)) 2.0))
4.0ms	(cbrt (pow (fma b b (* a a)) 2.0))

series1.4s

Counts

4 → 12

Calls

4 calls:

224.0ms	(cbrt (fma b b (* a a)))
345.0ms	(cbrt (pow (* (cbrt (fma b b (* a a))) (cbrt (fma b b (* a a)))) 2.0))
422.0ms	(cbrt (pow (fma b b (* a a)) 2.0))
360.0ms	(cbrt (pow (fma b b (* a a)) 2.0))

simplify6.9s

Counts

78 → 78

Iterations

Iter	Nodes
done	5000
4	4750
3	1333
2	468
1	210
0	115

prune1.3s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes415.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify9.0ms

Iterations

Iter	Nodes
done	24
1	24
0	20

end0.0ms

sample2.8s

Algorithm

intervals

Results

2.2s

20753×

body

valid