Details

sample44.0ms

Algorithm

intervals

Results

14.0ms	125×	body	160	valid
7.0ms	131×	body	80	valid

simplify95.0ms

Counts

1 → 1

Iterations

Useful iterations: 3 (27.0ms)

Iter	Nodes	Cost
0	82	36
1	310	36
2	1054	31
3	4855	30
4	5001	30
done	5001	30

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 13.8b

localize29.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))
0.1b	(/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))
0.4b	(fma (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (fma (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (fma (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (fma (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429 -1.453152027) 1.421413741) -0.284496736) 0.254829592)
13.7b	(fma (/ (fma (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (fma (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (fma (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (fma (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429 -1.453152027) 1.421413741) -0.284496736) 0.254829592) (exp (* (fabs x) (fabs x)))) (/ (- 1.0) (fma (fabs x) 0.3275911 1.0)) 1.0)

rewrite21.0ms

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` `associate-/r/` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `fma-udef` `div-inv`

Counts

4 → 82

Calls

4 calls:

9.0ms	(/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))
9.0ms	(/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))
0.0ms	(fma (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (fma (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (fma (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (fma (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429 -1.453152027) 1.421413741) -0.284496736) 0.254829592)
0.0ms	(fma (/ (fma (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (fma (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (fma (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (fma (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429 -1.453152027) 1.421413741) -0.284496736) 0.254829592) (exp (* (fabs x) (fabs x)))) (/ (- 1.0) (fma (fabs x) 0.3275911 1.0)) 1.0)

series653.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))
34.0ms	(/ 1.0 (+ 1.0 (* 0.3275911 (fabs x))))
218.0ms	(fma (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (fma (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (fma (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (fma (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429 -1.453152027) 1.421413741) -0.284496736) 0.254829592)
370.0ms	(fma (/ (fma (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (fma (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (fma (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (fma (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429 -1.453152027) 1.421413741) -0.284496736) 0.254829592) (exp (* (fabs x) (fabs x)))) (/ (- 1.0) (fma (fabs x) 0.3275911 1.0)) 1.0)

simplify43.0ms

Counts

94 → 94

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	335	1396
1	1357	1221
2	5001	1163
done	5001	1163

prune674.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 13.7b

localize36.0ms

Local error

Found 4 expressions with local error:

0.2b	(pow (fma 0.3275911 (fabs x) 1.0) 3)
0.4b	(/ (* 1 1.061405429) (pow (fma 0.3275911 (fabs x) 1.0) 4))
0.9b	(/ 1 (pow (+ (* 0.3275911 (fabs x)) 1.0) 2))
13.7b	(fma (/ (- (fma 1.421413741 (/ 1 (pow (+ (* 0.3275911 (fabs x)) 1.0) 2)) 0.254829592) (- (fma 0.284496736 (/ 1 (fma 0.3275911 (fabs x) 1.0)) (/ (* 1 1.453152027) (pow (fma 0.3275911 (fabs x) 1.0) 3))) (/ (* 1 1.061405429) (pow (fma 0.3275911 (fabs x) 1.0) 4)))) (exp (* (fabs x) (fabs x)))) (/ (- 1.0) (fma (fabs x) 0.3275911 1.0)) 1.0)

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-exp-log`
31×	`times-frac`
28×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
21×	`unpow-prod-down`
15×	`div-exp` `associate-/r*`
12×	`add-cbrt-cube`
7×	`pow-to-exp` `pow-exp` `sqr-pow`
6×	`1-exp` `prod-exp`
5×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u` `associate-/l*` `unpow2` `add-log-exp`
3×	`cbrt-undiv` `rec-exp` `pow-unpow` `cube-prod`
2×	`frac-2neg` `clear-num` `div-inv`
1×	`cube-mult` `pow-flip` `pow-pow` `unpow3` `cbrt-unprod` `fma-udef` `inv-pow` `rem-cube-cbrt`

Counts

4 → 132

Calls

4 calls:

3.0ms	(pow (fma 0.3275911 (fabs x) 1.0) 3)
12.0ms	(/ (* 1 1.061405429) (pow (fma 0.3275911 (fabs x) 1.0) 4))
25.0ms	(/ 1 (pow (+ (* 0.3275911 (fabs x)) 1.0) 2))
0.0ms	(fma (/ (- (fma 1.421413741 (/ 1 (pow (+ (* 0.3275911 (fabs x)) 1.0) 2)) 0.254829592) (- (fma 0.284496736 (/ 1 (fma 0.3275911 (fabs x) 1.0)) (/ (* 1 1.453152027) (pow (fma 0.3275911 (fabs x) 1.0) 3))) (/ (* 1 1.061405429) (pow (fma 0.3275911 (fabs x) 1.0) 4)))) (exp (* (fabs x) (fabs x)))) (/ (- 1.0) (fma (fabs x) 0.3275911 1.0)) 1.0)

series594.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(pow (fma 0.3275911 (fabs x) 1.0) 3)
65.0ms	(/ (* 1 1.061405429) (pow (fma 0.3275911 (fabs x) 1.0) 4))
49.0ms	(/ 1 (pow (+ (* 0.3275911 (fabs x)) 1.0) 2))
429.0ms	(fma (/ (- (fma 1.421413741 (/ 1 (pow (+ (* 0.3275911 (fabs x)) 1.0) 2)) 0.254829592) (- (fma 0.284496736 (/ 1 (fma 0.3275911 (fabs x) 1.0)) (/ (* 1 1.453152027) (pow (fma 0.3275911 (fabs x) 1.0) 3))) (/ (* 1 1.061405429) (pow (fma 0.3275911 (fabs x) 1.0) 4)))) (exp (* (fabs x) (fabs x)))) (/ (- 1.0) (fma (fabs x) 0.3275911 1.0)) 1.0)

simplify76.0ms

Counts

144 → 144

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	540	1474
1	2730	1187
2	5002	1177
done	5002	1177

prune585.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 13.7b

localize32.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1 (pow (fma 0.3275911 (fabs x) 1.0) 6))
0.4b	(/ (* 1 1.061405429) (pow (fma 0.3275911 (fabs x) 1.0) 4))
9.8b	(cbrt (/ 1 (pow (fma 0.3275911 (fabs x) 1.0) 6)))
13.7b	(fma (/ (- (fma 1.421413741 (cbrt (/ 1 (pow (fma 0.3275911 (fabs x) 1.0) 6))) 0.254829592) (- (fma 0.284496736 (/ 1 (fma 0.3275911 (fabs x) 1.0)) (/ (* 1 1.453152027) (pow (fma 0.3275911 (fabs x) 1.0) 3))) (/ (* 1 1.061405429) (pow (fma 0.3275911 (fabs x) 1.0) 4)))) (exp (* (fabs x) (fabs x)))) (/ (- 1.0) (fma (fabs x) 0.3275911 1.0)) 1.0)

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

49×	`times-frac`
38×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
31×	`add-exp-log`
27×	`unpow-prod-down`
25×	`cbrt-prod`
15×	`div-exp`
14×	`associate-/r*`
11×	`add-cbrt-cube`
9×	`sqr-pow`
6×	`pow-to-exp` `1-exp` `pow-exp` `prod-exp`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `associate-/l*` `add-log-exp`
3×	`cbrt-undiv` `rec-exp` `div-inv`
2×	`frac-2neg` `clear-num`
1×	`cbrt-div` `pow-flip` `pow1/3` `cbrt-unprod` `fma-udef` `inv-pow`

Counts

4 → 139

Calls

4 calls:

10.0ms	(/ 1 (pow (fma 0.3275911 (fabs x) 1.0) 6))
12.0ms	(/ (* 1 1.061405429) (pow (fma 0.3275911 (fabs x) 1.0) 4))
4.0ms	(cbrt (/ 1 (pow (fma 0.3275911 (fabs x) 1.0) 6)))
0.0ms	(fma (/ (- (fma 1.421413741 (cbrt (/ 1 (pow (fma 0.3275911 (fabs x) 1.0) 6))) 0.254829592) (- (fma 0.284496736 (/ 1 (fma 0.3275911 (fabs x) 1.0)) (/ (* 1 1.453152027) (pow (fma 0.3275911 (fabs x) 1.0) 3))) (/ (* 1 1.061405429) (pow (fma 0.3275911 (fabs x) 1.0) 4)))) (exp (* (fabs x) (fabs x)))) (/ (- 1.0) (fma (fabs x) 0.3275911 1.0)) 1.0)

series630.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(/ 1 (pow (fma 0.3275911 (fabs x) 1.0) 6))
69.0ms	(/ (* 1 1.061405429) (pow (fma 0.3275911 (fabs x) 1.0) 4))
51.0ms	(cbrt (/ 1 (pow (fma 0.3275911 (fabs x) 1.0) 6)))
434.0ms	(fma (/ (- (fma 1.421413741 (cbrt (/ 1 (pow (fma 0.3275911 (fabs x) 1.0) 6))) 0.254829592) (- (fma 0.284496736 (/ 1 (fma 0.3275911 (fabs x) 1.0)) (/ (* 1 1.453152027) (pow (fma 0.3275911 (fabs x) 1.0) 3))) (/ (* 1 1.061405429) (pow (fma 0.3275911 (fabs x) 1.0) 4)))) (exp (* (fabs x) (fabs x)))) (/ (- 1.0) (fma (fabs x) 0.3275911 1.0)) 1.0)

simplify67.0ms

Counts

151 → 151

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	524	1688
1	2127	1440
2	5001	1422
done	5001	1422

prune599.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 13.7b

localize40.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ (* 1 1.061405429) (pow (fma 0.3275911 (fabs x) 1.0) 4))
9.8b	(cbrt (/ 1 (pow (fma 0.3275911 (fabs x) 1.0) 6)))
13.7b	(log (exp (fma (/ (- (fma 1.421413741 (cbrt (/ 1 (pow (fma 0.3275911 (fabs x) 1.0) 6))) 0.254829592) (- (fma 0.284496736 (/ 1 (fma 0.3275911 (fabs x) 1.0)) (/ (* 1 1.453152027) (pow (fma 0.3275911 (fabs x) 1.0) 3))) (/ (* 1 1.061405429) (pow (fma 0.3275911 (fabs x) 1.0) 4)))) (exp (* (fabs x) (fabs x)))) (/ (- 1.0) (fma (fabs x) 0.3275911 1.0)) 1.0)))
13.7b	(fma (/ (- (fma 1.421413741 (cbrt (/ 1 (pow (fma 0.3275911 (fabs x) 1.0) 6))) 0.254829592) (- (fma 0.284496736 (/ 1 (fma 0.3275911 (fabs x) 1.0)) (/ (* 1 1.453152027) (pow (fma 0.3275911 (fabs x) 1.0) 3))) (/ (* 1 1.061405429) (pow (fma 0.3275911 (fabs x) 1.0) 4)))) (exp (* (fabs x) (fabs x)))) (/ (- 1.0) (fma (fabs x) 0.3275911 1.0)) 1.0)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

28×	`times-frac`
25×	`cbrt-prod`
24×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
22×	`add-exp-log`
15×	`unpow-prod-down`
9×	`div-exp` `add-cbrt-cube`
7×	`associate-/r*`
6×	`prod-exp`
5×	`pow1` `sqr-pow`
4×	`expm1-log1p-u` `log-prod` `log-pow` `log1p-expm1-u` `add-log-exp`
3×	`pow-to-exp` `exp-prod` `1-exp` `pow-exp`
2×	`cbrt-undiv` `fma-udef` `div-inv`
1×	`cbrt-div` `frac-2neg` `pow1/3` `rem-log-exp` `exp-sum` `clear-num` `cbrt-unprod` `associate-/l*`

Counts

4 → 102

Calls

4 calls:

12.0ms	(/ (* 1 1.061405429) (pow (fma 0.3275911 (fabs x) 1.0) 4))
4.0ms	(cbrt (/ 1 (pow (fma 0.3275911 (fabs x) 1.0) 6)))
3.0ms	(log (exp (fma (/ (- (fma 1.421413741 (cbrt (/ 1 (pow (fma 0.3275911 (fabs x) 1.0) 6))) 0.254829592) (- (fma 0.284496736 (/ 1 (fma 0.3275911 (fabs x) 1.0)) (/ (* 1 1.453152027) (pow (fma 0.3275911 (fabs x) 1.0) 3))) (/ (* 1 1.061405429) (pow (fma 0.3275911 (fabs x) 1.0) 4)))) (exp (* (fabs x) (fabs x)))) (/ (- 1.0) (fma (fabs x) 0.3275911 1.0)) 1.0)))
0.0ms	(fma (/ (- (fma 1.421413741 (cbrt (/ 1 (pow (fma 0.3275911 (fabs x) 1.0) 6))) 0.254829592) (- (fma 0.284496736 (/ 1 (fma 0.3275911 (fabs x) 1.0)) (/ (* 1 1.453152027) (pow (fma 0.3275911 (fabs x) 1.0) 3))) (/ (* 1 1.061405429) (pow (fma 0.3275911 (fabs x) 1.0) 4)))) (exp (* (fabs x) (fabs x)))) (/ (- 1.0) (fma (fabs x) 0.3275911 1.0)) 1.0)

series995.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(/ (* 1 1.061405429) (pow (fma 0.3275911 (fabs x) 1.0) 4))
47.0ms	(cbrt (/ 1 (pow (fma 0.3275911 (fabs x) 1.0) 6)))
439.0ms	(log (exp (fma (/ (- (fma 1.421413741 (cbrt (/ 1 (pow (fma 0.3275911 (fabs x) 1.0) 6))) 0.254829592) (- (fma 0.284496736 (/ 1 (fma 0.3275911 (fabs x) 1.0)) (/ (* 1 1.453152027) (pow (fma 0.3275911 (fabs x) 1.0) 3))) (/ (* 1 1.061405429) (pow (fma 0.3275911 (fabs x) 1.0) 4)))) (exp (* (fabs x) (fabs x)))) (/ (- 1.0) (fma (fabs x) 0.3275911 1.0)) 1.0)))
440.0ms	(fma (/ (- (fma 1.421413741 (cbrt (/ 1 (pow (fma 0.3275911 (fabs x) 1.0) 6))) 0.254829592) (- (fma 0.284496736 (/ 1 (fma 0.3275911 (fabs x) 1.0)) (/ (* 1 1.453152027) (pow (fma 0.3275911 (fabs x) 1.0) 3))) (/ (* 1 1.061405429) (pow (fma 0.3275911 (fabs x) 1.0) 4)))) (exp (* (fabs x) (fabs x)))) (/ (- 1.0) (fma (fabs x) 0.3275911 1.0)) 1.0)

simplify62.0ms

Counts

114 → 114

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	507	2188
1	1988	1911
2	5002	1900
done	5002	1900

prune574.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 13.7b

regimes66.0ms

Accuracy

0% (0.0b remaining)

Error of 14.1b against oracle of 14.0b and baseline of 14.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	34
1	47	34
2	47	34
done	47	34

end0.0ms

sample803.0ms

Algorithm

intervals

Results

431.0ms	3988×	body	160	valid
227.0ms	4012×	body	80	valid