Details

sample82.0ms

Algorithm

intervals

Results

36.0ms	107×	body	160	valid
12.0ms	149×	body	80	valid

simplify3.2s

Counts

1 → 1

Iterations

Useful iterations: 3 (253.0ms)

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

prune26.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 11.7b

localize33.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429)))))))
0.2b	(* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429)))))))))
0.4b	(+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))
11.7b	(- 1.0 (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))) (exp (- (* (fabs x) (fabs x))))))

rewrite155.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
30×	`associate-l`
23×	`add-cube-cbrt` `*-un-lft-identity`
20×	`times-frac`
14×	`add-exp-log` `add-cbrt-cube`
8×	`pow1` `add-log-exp`
7×	`flip3-+` `flip-+`
6×	`associate-r`
4×	`expm1-log1p-u` `frac-times` `associate-*r/` `prod-exp` `associate-/r/` `cbrt-unprod` `log1p-expm1-u` `unswap-sqr`
3×	`distribute-rgt-in` `fma-def` `distribute-lft-in` `fma-neg` `prod-diff`
2×	`cbrt-undiv` `associate-+r+` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `div-inv`
1×	`+-commutative` `sub-neg` `flip3--` `diff-log` `sum-log` `flip--`

Counts

4 → 122

Calls

4 calls:

68.0ms	(* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429)))))))
65.0ms	(* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429)))))))))
8.0ms	(+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))
7.0ms	(- 1.0 (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))) (exp (- (* (fabs x) (fabs x))))))

series2.8s

Counts

4 → 12

Calls

4 calls:

463.0ms	(* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429)))))))
623.0ms	(* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429)))))))))
432.0ms	(+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))
1.3s	(- 1.0 (* (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1.0 (+ 1.0 (* 0.3275911 (fabs x)))) 1.061405429))))))))) (exp (- (* (fabs x) (fabs x))))))

simplify2.6s

Counts

134 → 134

Iterations

Useful iterations: 2 (1.0s)

Iter	Nodes	Cost
0	260	9368
1	950	8211
2	4253	6815
done	5000	6815

prune1.3s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 11.7b

localize72.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (sqrt 1.0) (sqrt (+ 1.0 (* 0.3275911 (fabs x)))))
0.2b	(* (/ (sqrt 1.0) (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (* (fma (fma (fma (fma 1.061405429 (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -1.453152027) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) 1.421413741) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -0.284496736) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) 0.254829592) (/ (sqrt 1.0) (sqrt (fma 0.3275911 (fabs x) 1.0)))))
0.4b	(fma (fma (fma (fma 1.061405429 (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -1.453152027) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) 1.421413741) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -0.284496736) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) 0.254829592)
11.7b	(- 1.0 (* (* (/ (sqrt 1.0) (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (* (fma (fma (fma (fma 1.061405429 (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -1.453152027) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) 1.421413741) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -0.284496736) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) 0.254829592) (/ (sqrt 1.0) (sqrt (fma 0.3275911 (fabs x) 1.0))))) (exp (- (* (fabs x) (fabs x))))))

rewrite179.0ms

Algorithm

rewrite-expression-head

Rules

78×	`sqrt-prod`
72×	`times-frac`
59×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
42×	`associate-l`
27×	`add-exp-log` `add-cbrt-cube`
10×	`prod-exp` `cbrt-unprod`
9×	`pow1`
6×	`cbrt-undiv` `div-exp` `associate-/r` `associate-/l` `add-log-exp`
4×	`expm1-log1p-u` `sqrt-div` `associate-/r/` `log1p-expm1-u`
3×	`fma-neg` `associate-*r/` `prod-diff` `pow-prod-down`
2×	`flip3-+` `flip-+` `div-inv`
1×	`frac-times` `sub-neg` `sqrt-undiv` `flip3--` `frac-2neg` `diff-log` `associate-r` `associate-l/` `clear-num` `-commutative` `flip--` `fma-udef`

Counts

4 → 165

Calls

4 calls:

26.0ms	(/ (sqrt 1.0) (sqrt (+ 1.0 (* 0.3275911 (fabs x)))))
128.0ms	(* (/ (sqrt 1.0) (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (* (fma (fma (fma (fma 1.061405429 (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -1.453152027) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) 1.421413741) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -0.284496736) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) 0.254829592) (/ (sqrt 1.0) (sqrt (fma 0.3275911 (fabs x) 1.0)))))
0.0ms	(fma (fma (fma (fma 1.061405429 (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -1.453152027) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) 1.421413741) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -0.284496736) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) 0.254829592)
11.0ms	(- 1.0 (* (* (/ (sqrt 1.0) (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (* (fma (fma (fma (fma 1.061405429 (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -1.453152027) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) 1.421413741) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -0.284496736) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) 0.254829592) (/ (sqrt 1.0) (sqrt (fma 0.3275911 (fabs x) 1.0))))) (exp (- (* (fabs x) (fabs x))))))

series1.9s

Counts

4 → 12

Calls

4 calls:

91.0ms	(/ (sqrt 1.0) (sqrt (+ 1.0 (* 0.3275911 (fabs x)))))
555.0ms	(* (/ (sqrt 1.0) (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (* (fma (fma (fma (fma 1.061405429 (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -1.453152027) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) 1.421413741) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -0.284496736) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) 0.254829592) (/ (sqrt 1.0) (sqrt (fma 0.3275911 (fabs x) 1.0)))))
357.0ms	(fma (fma (fma (fma 1.061405429 (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -1.453152027) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) 1.421413741) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -0.284496736) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) 0.254829592)
900.0ms	(- 1.0 (* (* (/ (sqrt 1.0) (sqrt (+ 1.0 (* 0.3275911 (fabs x))))) (* (fma (fma (fma (fma 1.061405429 (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -1.453152027) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) 1.421413741) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -0.284496736) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) 0.254829592) (/ (sqrt 1.0) (sqrt (fma 0.3275911 (fabs x) 1.0))))) (exp (- (* (fabs x) (fabs x))))))

simplify1.6s

Counts

177 → 177

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	276	9759
1	677	9095
2	2547	7175
done	5001	7147

prune1.3s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 11.7b

localize57.0ms

Local error

Found 4 expressions with local error:

0.4b	(fma (fma (fma (fma 1.061405429 (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -1.453152027) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) 1.421413741) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -0.284496736) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) 0.254829592)
0.4b	(fma (fma (fma (fma 1.061405429 (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -1.453152027) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) 1.421413741) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -0.284496736) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) 0.254829592)
0.7b	(pow (/ (* (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) (fma (fma (fma (fma 1.061405429 (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -1.453152027) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) 1.421413741) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -0.284496736) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) 0.254829592)) (exp (pow (fabs x) 2))) 3)
11.2b	(- (pow 1.0 3) (pow (/ (* (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) (fma (fma (fma (fma 1.061405429 (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -1.453152027) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) 1.421413741) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -0.284496736) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) 0.254829592)) (exp (pow (fabs x) 2))) 3))

rewrite216.0ms

Algorithm

rewrite-expression-head

Rules

240×	`prod-diff`
166×	`unpow-prod-down` `cube-prod`
156×	`add-sqr-sqrt`
142×	`*-un-lft-identity`
132×	`add-cube-cbrt`
78×	`times-frac`
42×	`sqr-pow`
34×	`cube-mult` `unpow3`
26×	`div-inv`
16×	`difference-of-squares`
14×	`add-cbrt-cube`
12×	`fma-neg`
11×	`add-exp-log`
6×	`add-log-exp`
5×	`pow1` `distribute-lft-out--`
4×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `pow-exp` `log1p-expm1-u` `rem-cube-cbrt`
3×	`pow-unpow`
2×	`prod-exp` `cbrt-unprod` `fma-udef`
1×	`difference-cubes` `cube-div` `pow-to-exp` `sub-neg` `flip3--` `pow-pow` `diff-log` `flip--`

Counts

4 → 348

Calls

4 calls:

1.0ms	(fma (fma (fma (fma 1.061405429 (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -1.453152027) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) 1.421413741) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -0.284496736) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) 0.254829592)
1.0ms	(fma (fma (fma (fma 1.061405429 (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -1.453152027) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) 1.421413741) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -0.284496736) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) 0.254829592)
42.0ms	(pow (/ (* (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) (fma (fma (fma (fma 1.061405429 (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -1.453152027) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) 1.421413741) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -0.284496736) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) 0.254829592)) (exp (pow (fabs x) 2))) 3)
127.0ms	(- (pow 1.0 3) (pow (/ (* (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) (fma (fma (fma (fma 1.061405429 (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -1.453152027) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) 1.421413741) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -0.284496736) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) 0.254829592)) (exp (pow (fabs x) 2))) 3))

series2.5s

Counts

4 → 12

Calls

4 calls:

364.0ms	(fma (fma (fma (fma 1.061405429 (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -1.453152027) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) 1.421413741) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -0.284496736) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) 0.254829592)
347.0ms	(fma (fma (fma (fma 1.061405429 (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -1.453152027) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) 1.421413741) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -0.284496736) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) 0.254829592)
794.0ms	(pow (/ (* (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) (fma (fma (fma (fma 1.061405429 (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -1.453152027) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) 1.421413741) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -0.284496736) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) 0.254829592)) (exp (pow (fabs x) 2))) 3)
1.0s	(- (pow 1.0 3) (pow (/ (* (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) (fma (fma (fma (fma 1.061405429 (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -1.453152027) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) 1.421413741) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -0.284496736) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) 0.254829592)) (exp (pow (fabs x) 2))) 3))

simplify3.1s

Counts

360 → 360

Iterations

Useful iterations: done (3.0s)

Iter	Nodes	Cost
0	471	80183
1	1192	51127
2	4441	35871
done	5000	35870

prune1.3s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 11.0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.4b	(fma (fma (fma (fma 1.061405429 (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -1.453152027) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) 1.421413741) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -0.284496736) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) 0.254829592)
0.4b	(fma (fma (fma (fma 1.061405429 (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -1.453152027) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) 1.421413741) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -0.284496736) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) 0.254829592)
0.7b	(pow (/ (* (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) (fma (fma (fma (fma 1.061405429 (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -1.453152027) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) 1.421413741) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -0.284496736) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) 0.254829592)) (exp (pow (fabs x) 2))) 3)
11.2b	(- (pow 1.0 3) (log1p (expm1 (pow (/ (* (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) (fma (fma (fma (fma 1.061405429 (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -1.453152027) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) 1.421413741) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -0.284496736) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) 0.254829592)) (exp (pow (fabs x) 2))) 3))))

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt`
36×	`prod-diff`
35×	`*-un-lft-identity`
33×	`add-cube-cbrt`
20×	`unpow-prod-down` `cube-prod`
14×	`add-cbrt-cube`
12×	`fma-neg`
11×	`add-exp-log`
7×	`add-log-exp`
6×	`times-frac` `sqr-pow`
5×	`pow1` `cube-mult` `unpow3`
4×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `pow-exp` `log1p-expm1-u` `rem-cube-cbrt` `difference-of-squares`
3×	`pow-unpow`
2×	`diff-log` `prod-exp` `cbrt-unprod` `fma-udef` `div-inv`
1×	`cube-div` `pow-to-exp` `sub-neg` `log1p-udef` `flip3--` `pow-pow` `flip--` `distribute-lft-out--`

Counts

4 → 128

Calls

4 calls:

0.0ms	(fma (fma (fma (fma 1.061405429 (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -1.453152027) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) 1.421413741) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -0.284496736) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) 0.254829592)
0.0ms	(fma (fma (fma (fma 1.061405429 (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -1.453152027) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) 1.421413741) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -0.284496736) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) 0.254829592)
26.0ms	(pow (/ (* (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) (fma (fma (fma (fma 1.061405429 (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -1.453152027) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) 1.421413741) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -0.284496736) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) 0.254829592)) (exp (pow (fabs x) 2))) 3)
60.0ms	(- (pow 1.0 3) (log1p (expm1 (pow (/ (* (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) (fma (fma (fma (fma 1.061405429 (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -1.453152027) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) 1.421413741) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -0.284496736) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) 0.254829592)) (exp (pow (fabs x) 2))) 3))))

series2.8s

Counts

4 → 12

Calls

4 calls:

375.0ms	(fma (fma (fma (fma 1.061405429 (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -1.453152027) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) 1.421413741) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -0.284496736) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) 0.254829592)
310.0ms	(fma (fma (fma (fma 1.061405429 (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -1.453152027) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) 1.421413741) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -0.284496736) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) 0.254829592)
812.0ms	(pow (/ (* (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) (fma (fma (fma (fma 1.061405429 (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -1.453152027) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) 1.421413741) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -0.284496736) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) 0.254829592)) (exp (pow (fabs x) 2))) 3)
1.3s	(- (pow 1.0 3) (log1p (expm1 (pow (/ (* (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) (fma (fma (fma (fma 1.061405429 (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -1.453152027) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) 1.421413741) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) -0.284496736) (/ 1.0 (fma 0.3275911 (fabs x) 1.0)) 0.254829592)) (exp (pow (fabs x) 2))) 3))))

simplify2.5s

Counts

140 → 140

Iterations

Useful iterations: 2 (964.0ms)

Iter	Nodes	Cost
0	334	20141
1	901	12989
2	3581	10435
done	5000	10435

prune1.2s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 11.0b

regimes60.0ms

Accuracy

0% (0.0b remaining)

Error of 12.9b against oracle of 12.8b and baseline of 12.9b

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	178
1	39	178
done	39	178

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.8s	3865×	body	160	valid
657.0ms	4135×	body	80	valid