Details

sample72.0ms

Algorithm

intervals

Results

27.0ms	129×	body	160	valid
14.0ms	127×	body	80	valid

simplify3.4s

Counts

1 → 1

Iterations

Useful iterations: 3 (311.0ms)

Iter	Nodes	Cost
0	26	64
1	82	64
2	309	55
3	991	54
4	4172	54
done	5000	54

prune27.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 14.3b

localize61.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1.0 (fma (fabs x) 0.3275911 1.0))
0.2b	(/ 1.0 (fma (fabs x) 0.3275911 1.0))
0.5b	(fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) 1.061405429 -1.453152027) 1.421413741) (/ 1.0 (fma (fabs x) 0.3275911 1.0)) -0.284496736) 0.254829592)
14.2b	(fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (- (/ (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) 1.061405429 -1.453152027) 1.421413741) (/ 1.0 (fma (fabs x) 0.3275911 1.0)) -0.284496736) 0.254829592) (exp (* (fabs x) (fabs x))))) 1.0)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`times-frac`
8×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/r` `associate-/l`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `fma-udef` `div-inv`

Counts

4 → 78

Calls

4 calls:

5.0ms	(/ 1.0 (fma (fabs x) 0.3275911 1.0))
5.0ms	(/ 1.0 (fma (fabs x) 0.3275911 1.0))
0.0ms	(fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) 1.061405429 -1.453152027) 1.421413741) (/ 1.0 (fma (fabs x) 0.3275911 1.0)) -0.284496736) 0.254829592)
0.0ms	(fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (- (/ (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) 1.061405429 -1.453152027) 1.421413741) (/ 1.0 (fma (fabs x) 0.3275911 1.0)) -0.284496736) 0.254829592) (exp (* (fabs x) (fabs x))))) 1.0)

series1.1s

Counts

4 → 12

Calls

4 calls:

51.0ms	(/ 1.0 (fma (fabs x) 0.3275911 1.0))
57.0ms	(/ 1.0 (fma (fabs x) 0.3275911 1.0))
331.0ms	(fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) 1.061405429 -1.453152027) 1.421413741) (/ 1.0 (fma (fabs x) 0.3275911 1.0)) -0.284496736) 0.254829592)
622.0ms	(fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (- (/ (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) 1.061405429 -1.453152027) 1.421413741) (/ 1.0 (fma (fabs x) 0.3275911 1.0)) -0.284496736) 0.254829592) (exp (* (fabs x) (fabs x))))) 1.0)

simplify2.2s

Counts

90 → 90

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	138	2422
1	295	2317
2	792	2068
3	2768	2038
done	5000	2032

prune754.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 14.2b

localize70.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (/ 1.0 (fma (fabs x) 0.3275911 1.0)))
0.3b	(cbrt (/ 1.0 (fma (fabs x) 0.3275911 1.0)))
0.5b	(fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) 1.061405429 -1.453152027) 1.421413741) (* (* (cbrt (/ 1.0 (fma (fabs x) 0.3275911 1.0))) (cbrt (/ 1.0 (fma (fabs x) 0.3275911 1.0)))) (cbrt (/ 1.0 (fma (fabs x) 0.3275911 1.0)))) -0.284496736) 0.254829592)
14.2b	(fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (- (/ (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) 1.061405429 -1.453152027) 1.421413741) (* (* (cbrt (/ 1.0 (fma (fabs x) 0.3275911 1.0))) (cbrt (/ 1.0 (fma (fabs x) 0.3275911 1.0)))) (cbrt (/ 1.0 (fma (fabs x) 0.3275911 1.0)))) -0.284496736) 0.254829592) (exp (* (fabs x) (fabs x))))) 1.0)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

26×	`cbrt-prod`
18×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-div` `pow1/3` `fma-udef` `div-inv`

Counts

4 → 68

Calls

4 calls:

5.0ms	(cbrt (/ 1.0 (fma (fabs x) 0.3275911 1.0)))
5.0ms	(cbrt (/ 1.0 (fma (fabs x) 0.3275911 1.0)))
1.0ms	(fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) 1.061405429 -1.453152027) 1.421413741) (* (* (cbrt (/ 1.0 (fma (fabs x) 0.3275911 1.0))) (cbrt (/ 1.0 (fma (fabs x) 0.3275911 1.0)))) (cbrt (/ 1.0 (fma (fabs x) 0.3275911 1.0)))) -0.284496736) 0.254829592)
1.0ms	(fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (- (/ (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) 1.061405429 -1.453152027) 1.421413741) (* (* (cbrt (/ 1.0 (fma (fabs x) 0.3275911 1.0))) (cbrt (/ 1.0 (fma (fabs x) 0.3275911 1.0)))) (cbrt (/ 1.0 (fma (fabs x) 0.3275911 1.0)))) -0.284496736) 0.254829592) (exp (* (fabs x) (fabs x))))) 1.0)

series1.7s

Counts

4 → 12

Calls

4 calls:

270.0ms	(cbrt (/ 1.0 (fma (fabs x) 0.3275911 1.0)))
299.0ms	(cbrt (/ 1.0 (fma (fabs x) 0.3275911 1.0)))
417.0ms	(fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) 1.061405429 -1.453152027) 1.421413741) (* (* (cbrt (/ 1.0 (fma (fabs x) 0.3275911 1.0))) (cbrt (/ 1.0 (fma (fabs x) 0.3275911 1.0)))) (cbrt (/ 1.0 (fma (fabs x) 0.3275911 1.0)))) -0.284496736) 0.254829592)
745.0ms	(fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (- (/ (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) 1.061405429 -1.453152027) 1.421413741) (* (* (cbrt (/ 1.0 (fma (fabs x) 0.3275911 1.0))) (cbrt (/ 1.0 (fma (fabs x) 0.3275911 1.0)))) (cbrt (/ 1.0 (fma (fabs x) 0.3275911 1.0)))) -0.284496736) 0.254829592) (exp (* (fabs x) (fabs x))))) 1.0)

simplify1.7s

Counts

80 → 80

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	147	2946
1	293	2857
2	756	2184
3	2642	2082
done	5000	2076

prune663.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 14.2b

localize43.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1.0 (sqrt (fma (fabs x) 0.3275911 1.0)))
0.2b	(/ (/ 1.0 (sqrt (fma (fabs x) 0.3275911 1.0))) (sqrt (fma (fabs x) 0.3275911 1.0)))
0.5b	(fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (/ (/ 1.0 (sqrt (fma (fabs x) 0.3275911 1.0))) (sqrt (fma (fabs x) 0.3275911 1.0))) 1.061405429 -1.453152027) 1.421413741) (/ 1.0 (fma (fabs x) 0.3275911 1.0)) -0.284496736) 0.254829592)
14.2b	(fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (- (/ (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (/ (/ 1.0 (sqrt (fma (fabs x) 0.3275911 1.0))) (sqrt (fma (fabs x) 0.3275911 1.0))) 1.061405429 -1.453152027) 1.421413741) (/ 1.0 (fma (fabs x) 0.3275911 1.0)) -0.284496736) 0.254829592) (exp (* (fabs x) (fabs x))))) 1.0)

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

276×	`times-frac`
156×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
144×	`sqrt-prod`
25×	`associate-/l*`
12×	`associate-/r*`
11×	`add-exp-log` `add-cbrt-cube`
9×	`div-inv`
4×	`pow1` `cbrt-undiv` `expm1-log1p-u` `div-exp` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `clear-num` `fma-udef`
1×	`associate-/l/`

Counts

4 → 238

Calls

4 calls:

12.0ms	(/ 1.0 (sqrt (fma (fabs x) 0.3275911 1.0)))
34.0ms	(/ (/ 1.0 (sqrt (fma (fabs x) 0.3275911 1.0))) (sqrt (fma (fabs x) 0.3275911 1.0)))
1.0ms	(fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (/ (/ 1.0 (sqrt (fma (fabs x) 0.3275911 1.0))) (sqrt (fma (fabs x) 0.3275911 1.0))) 1.061405429 -1.453152027) 1.421413741) (/ 1.0 (fma (fabs x) 0.3275911 1.0)) -0.284496736) 0.254829592)
1.0ms	(fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (- (/ (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (/ (/ 1.0 (sqrt (fma (fabs x) 0.3275911 1.0))) (sqrt (fma (fabs x) 0.3275911 1.0))) 1.061405429 -1.453152027) 1.421413741) (/ 1.0 (fma (fabs x) 0.3275911 1.0)) -0.284496736) 0.254829592) (exp (* (fabs x) (fabs x))))) 1.0)

series1.0s

Counts

4 → 12

Calls

4 calls:

69.0ms	(/ 1.0 (sqrt (fma (fabs x) 0.3275911 1.0)))
55.0ms	(/ (/ 1.0 (sqrt (fma (fabs x) 0.3275911 1.0))) (sqrt (fma (fabs x) 0.3275911 1.0)))
287.0ms	(fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (/ (/ 1.0 (sqrt (fma (fabs x) 0.3275911 1.0))) (sqrt (fma (fabs x) 0.3275911 1.0))) 1.061405429 -1.453152027) 1.421413741) (/ 1.0 (fma (fabs x) 0.3275911 1.0)) -0.284496736) 0.254829592)
638.0ms	(fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (- (/ (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (/ (/ 1.0 (sqrt (fma (fabs x) 0.3275911 1.0))) (sqrt (fma (fabs x) 0.3275911 1.0))) 1.061405429 -1.453152027) 1.421413741) (/ 1.0 (fma (fabs x) 0.3275911 1.0)) -0.284496736) 0.254829592) (exp (* (fabs x) (fabs x))))) 1.0)

simplify1.5s

Counts

250 → 250

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	334	8131
1	737	7024
2	1628	6406
done	5000	6154

prune1.3s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 14.2b

localize50.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1.0 (fma (fabs x) 0.3275911 1.0))
0.5b	(fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) 1.061405429 -1.453152027) 1.421413741) (/ 1.0 (fma (fabs x) 0.3275911 1.0)) -0.284496736) 0.254829592)
14.2b	(fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (- (/ (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) 1.061405429 -1.453152027) 1.421413741) (/ 1.0 (fma (fabs x) 0.3275911 1.0)) -0.284496736) 0.254829592) (exp (pow (fabs x) 2)))) 1.0)
14.3b	(log (exp (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (- (/ (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) 1.061405429 -1.453152027) 1.421413741) (/ 1.0 (fma (fabs x) 0.3275911 1.0)) -0.284496736) 0.254829592) (exp (pow (fabs x) 2)))) 1.0)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
6×	`add-exp-log` `add-cbrt-cube`
5×	`pow1`
4×	`expm1-log1p-u` `log-prod` `log-pow` `log1p-expm1-u` `add-log-exp`
3×	`exp-prod` `associate-/r` `fma-udef` `associate-/l`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `rem-log-exp` `exp-sum` `clear-num` `div-inv`

Counts

4 → 67

Calls

4 calls:

5.0ms	(/ 1.0 (fma (fabs x) 0.3275911 1.0))
0.0ms	(fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) 1.061405429 -1.453152027) 1.421413741) (/ 1.0 (fma (fabs x) 0.3275911 1.0)) -0.284496736) 0.254829592)
0.0ms	(fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (- (/ (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) 1.061405429 -1.453152027) 1.421413741) (/ 1.0 (fma (fabs x) 0.3275911 1.0)) -0.284496736) 0.254829592) (exp (pow (fabs x) 2)))) 1.0)
6.0ms	(log (exp (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (- (/ (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) 1.061405429 -1.453152027) 1.421413741) (/ 1.0 (fma (fabs x) 0.3275911 1.0)) -0.284496736) 0.254829592) (exp (pow (fabs x) 2)))) 1.0)))

series1.5s

Counts

4 → 12

Calls

4 calls:

50.0ms	(/ 1.0 (fma (fabs x) 0.3275911 1.0))
299.0ms	(fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) 1.061405429 -1.453152027) 1.421413741) (/ 1.0 (fma (fabs x) 0.3275911 1.0)) -0.284496736) 0.254829592)
600.0ms	(fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (- (/ (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) 1.061405429 -1.453152027) 1.421413741) (/ 1.0 (fma (fabs x) 0.3275911 1.0)) -0.284496736) 0.254829592) (exp (pow (fabs x) 2)))) 1.0)
590.0ms	(log (exp (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (- (/ (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) (fma (/ 1.0 (fma (fabs x) 0.3275911 1.0)) 1.061405429 -1.453152027) 1.421413741) (/ 1.0 (fma (fabs x) 0.3275911 1.0)) -0.284496736) 0.254829592) (exp (pow (fabs x) 2)))) 1.0)))

simplify1.9s

Counts

79 → 79

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	163	3591
1	324	3455
2	831	3050
3	2706	2986
done	5000	2974

prune718.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 14.2b

regimes65.0ms

Accuracy

0% (0.0b remaining)

Error of 13.9b against oracle of 13.8b and baseline of 13.9b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	58
1	28	58
done	28	58

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.8s	3932×	body	160	valid
694.0ms	4068×	body	80	valid