Details

sample115.0ms

Algorithm

intervals

Results

45.0ms	133×	body	160	valid
29.0ms	123×	body	80	valid

simplify2.2s

Counts: 1 → 1

prune33.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 14.5b

localize92.0ms

Local error

Found 4 expressions with local error:

14.5b	(- 1 (* (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) 1.061405429))))))))) (exp (- (* (fabs x) (fabs x))))))
0.5b	(+ 0.254829592 (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) 1.061405429))))))))
0.2b	(* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) 1.061405429)))))))
0.1b	(* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) 1.061405429)))))

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
30×	`associate-l`
22×	`*-un-lft-identity` `times-frac` `add-exp-log`
20×	`add-cube-cbrt`
14×	`add-cbrt-cube`
8×	`pow1` `prod-exp` `add-log-exp`
7×	`flip3-+` `flip-+`
6×	`associate-r` `unswap-sqr`
4×	`frac-times` `div-exp` `associate-*r/` `associate-/r/` `cbrt-unprod` `insert-posit16`
3×	`distribute-rgt-in` `distribute-lft-in`
2×	`cbrt-undiv` `rec-exp` `associate-+r+` `1-exp` `pow-prod-down` `associate-l/` `-commutative` `div-inv`
1×	`+-commutative` `sum-log` `sub-neg` `flip3--` `diff-log` `flip--`

Counts

4 → 115

Calls

4 calls:

Slowest

37.0ms	(* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) 1.061405429)))))))
32.0ms	(* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) 1.061405429)))))
11.0ms	(+ 0.254829592 (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) 1.061405429))))))))
10.0ms	(- 1 (* (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) 1.061405429))))))))) (exp (- (* (fabs x) (fabs x))))))

series2.1s

Counts

4 → 12

Calls

4 calls:

Slowest

1.2s	(- 1 (* (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) (+ 0.254829592 (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) 1.061405429))))))))) (exp (- (* (fabs x) (fabs x))))))
387.0ms	(+ 0.254829592 (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) 1.061405429))))))))
363.0ms	(* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) (+ -0.284496736 (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) 1.061405429)))))))
212.0ms	(* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) 1.061405429)))))

simplify3.0s

Counts: 127 → 127

prune2.0s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 14.4b

localize64.0ms

Local error

Found 4 expressions with local error:

14.5b	(- 1 (* (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) (+ (+ 0.254829592 (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) -0.284496736)) (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) 1.061405429)))))))) (exp (- (* (fabs x) (fabs x))))))
0.1b	(* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) 1.061405429)))))
0.1b	(* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) 1.061405429)
0.1b	(/ 1 (+ 1 (* 0.3275911 (fabs x))))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-sqr-sqrt`
31×	`times-frac`
30×	`-un-lft-identity` `associate-l*`
28×	`add-cube-cbrt`
26×	`add-exp-log`
16×	`add-cbrt-cube`
9×	`pow1`
8×	`prod-exp`
6×	`div-exp` `associate-r` `associate-/r/` `add-log-exp` `unswap-sqr`
5×	`flip3-+` `flip-+`
4×	`cbrt-unprod` `insert-posit16`
3×	`cbrt-undiv` `rec-exp` `associate-/r` `1-exp` `div-inv` `associate-/l`
2×	`frac-times` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`
1×	`distribute-rgt-in` `clear-num` `sub-neg` `frac-2neg` `distribute-lft-in` `flip3--` `diff-log` `pow-flip` `flip--` `inv-pow`

Counts

4 → 129

Calls

4 calls:

Slowest

25.0ms	(* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) 1.061405429)))))
22.0ms	(* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) 1.061405429)
9.0ms	(- 1 (* (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) (+ (+ 0.254829592 (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) -0.284496736)) (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) 1.061405429)))))))) (exp (- (* (fabs x) (fabs x))))))
8.0ms	(/ 1 (+ 1 (* 0.3275911 (fabs x))))

series1.4s

Counts

4 → 12

Calls

4 calls:

Slowest

1.1s	(- 1 (* (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) (+ (+ 0.254829592 (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) -0.284496736)) (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) 1.061405429)))))))) (exp (- (* (fabs x) (fabs x))))))
249.0ms	(* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) (+ 1.421413741 (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) (+ -1.453152027 (* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) 1.061405429)))))
44.0ms	(* (/ 1 (+ 1 (* 0.3275911 (fabs x)))) 1.061405429)
38.0ms	(/ 1 (+ 1 (* 0.3275911 (fabs x))))

simplify1.6s

Counts: 141 → 141

prune2.5s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 14.4b

localize87.0ms

Local error

Found 4 expressions with local error:

14.5b	(- 1 (/ (/ (+ (/ (/ (+ 1.421413741 (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) (+ 1 (* (fabs x) 0.3275911))) (+ (/ -0.284496736 (+ 1 (* (fabs x) 0.3275911))) 0.254829592)) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x)))))
14.5b	(- 1 (/ (/ (+ (/ (/ (+ 1.421413741 (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) (+ 1 (* (fabs x) 0.3275911))) (+ (/ -0.284496736 (+ 1 (* (fabs x) 0.3275911))) 0.254829592)) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x)))))
14.5b	(- 1 (/ (/ (+ (/ (/ (+ 1.421413741 (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) (+ 1 (* (fabs x) 0.3275911))) (+ (/ -0.284496736 (+ 1 (* (fabs x) 0.3275911))) 0.254829592)) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x)))))
0.5b	(cbrt (* (* (- 1 (/ (/ (+ (/ (/ (+ 1.421413741 (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) (+ 1 (* (fabs x) 0.3275911))) (+ (/ -0.284496736 (+ 1 (* (fabs x) 0.3275911))) 0.254829592)) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x))))) (- 1 (/ (/ (+ (/ (/ (+ 1.421413741 (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) (+ 1 (* (fabs x) 0.3275911))) (+ (/ -0.284496736 (+ 1 (* (fabs x) 0.3275911))) 0.254829592)) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x)))))) (- 1 (/ (/ (+ (/ (/ (+ 1.421413741 (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) (+ 1 (* (fabs x) 0.3275911))) (+ (/ -0.284496736 (+ 1 (* (fabs x) 0.3275911))) 0.254829592)) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x)))))))

rewrite20.0s

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt`
30×	`flip3--` `flip--`
28×	`frac-times`
26×	`cbrt-div`
19×	`*-un-lft-identity`
18×	`times-frac` `difference-of-squares`
14×	`associate-*l/`
10×	`add-log-exp`
8×	`associate-*r/`
4×	`pow1` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16`
3×	`sub-neg` `diff-log` `distribute-lft-out--`
1×	`cbrt-prod` `pow1/3` `pow3` `rem-cbrt-cube`

Counts

4 → 97

Calls

4 calls:

Slowest

14.8s	(cbrt (* (* (- 1 (/ (/ (+ (/ (/ (+ 1.421413741 (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) (+ 1 (* (fabs x) 0.3275911))) (+ (/ -0.284496736 (+ 1 (* (fabs x) 0.3275911))) 0.254829592)) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x))))) (- 1 (/ (/ (+ (/ (/ (+ 1.421413741 (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) (+ 1 (* (fabs x) 0.3275911))) (+ (/ -0.284496736 (+ 1 (* (fabs x) 0.3275911))) 0.254829592)) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x)))))) (- 1 (/ (/ (+ (/ (/ (+ 1.421413741 (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) (+ 1 (* (fabs x) 0.3275911))) (+ (/ -0.284496736 (+ 1 (* (fabs x) 0.3275911))) 0.254829592)) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x)))))))
1.7s	(- 1 (/ (/ (+ (/ (/ (+ 1.421413741 (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) (+ 1 (* (fabs x) 0.3275911))) (+ (/ -0.284496736 (+ 1 (* (fabs x) 0.3275911))) 0.254829592)) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x)))))
1.7s	(- 1 (/ (/ (+ (/ (/ (+ 1.421413741 (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) (+ 1 (* (fabs x) 0.3275911))) (+ (/ -0.284496736 (+ 1 (* (fabs x) 0.3275911))) 0.254829592)) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x)))))
1.7s	(- 1 (/ (/ (+ (/ (/ (+ 1.421413741 (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) (+ 1 (* (fabs x) 0.3275911))) (+ (/ -0.284496736 (+ 1 (* (fabs x) 0.3275911))) 0.254829592)) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x)))))

series4.1s

Counts

4 → 12

Calls

4 calls:

Slowest

1.1s	(- 1 (/ (/ (+ (/ (/ (+ 1.421413741 (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) (+ 1 (* (fabs x) 0.3275911))) (+ (/ -0.284496736 (+ 1 (* (fabs x) 0.3275911))) 0.254829592)) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x)))))
1.0s	(- 1 (/ (/ (+ (/ (/ (+ 1.421413741 (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) (+ 1 (* (fabs x) 0.3275911))) (+ (/ -0.284496736 (+ 1 (* (fabs x) 0.3275911))) 0.254829592)) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x)))))
1.0s	(- 1 (/ (/ (+ (/ (/ (+ 1.421413741 (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) (+ 1 (* (fabs x) 0.3275911))) (+ (/ -0.284496736 (+ 1 (* (fabs x) 0.3275911))) 0.254829592)) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x)))))
971.0ms	(cbrt (* (* (- 1 (/ (/ (+ (/ (/ (+ 1.421413741 (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) (+ 1 (* (fabs x) 0.3275911))) (+ (/ -0.284496736 (+ 1 (* (fabs x) 0.3275911))) 0.254829592)) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x))))) (- 1 (/ (/ (+ (/ (/ (+ 1.421413741 (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) (+ 1 (* (fabs x) 0.3275911))) (+ (/ -0.284496736 (+ 1 (* (fabs x) 0.3275911))) 0.254829592)) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x)))))) (- 1 (/ (/ (+ (/ (/ (+ 1.421413741 (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) (+ 1 (* (fabs x) 0.3275911))) (+ (/ -0.284496736 (+ 1 (* (fabs x) 0.3275911))) 0.254829592)) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x)))))))

simplify2.1s

Counts: 109 → 109

prune2.6s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 14.4b

localize123.0ms

Local error

Found 4 expressions with local error:

14.5b	(log (/ (exp 1) (exp (/ (/ (+ (/ (/ (+ 1.421413741 (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) (+ 1 (* (fabs x) 0.3275911))) (+ (/ -0.284496736 (+ 1 (* (fabs x) 0.3275911))) 0.254829592)) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x)))))))
14.5b	(- 1 (/ (/ (+ (/ (/ (+ 1.421413741 (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) (+ 1 (* (fabs x) 0.3275911))) (+ (/ -0.284496736 (+ 1 (* (fabs x) 0.3275911))) 0.254829592)) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x)))))
14.5b	(- 1 (/ (/ (+ (/ (/ (+ 1.421413741 (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) (+ 1 (* (fabs x) 0.3275911))) (+ (/ -0.284496736 (+ 1 (* (fabs x) 0.3275911))) 0.254829592)) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x)))))
0.5b	(/ (exp 1) (exp (/ (/ (+ (/ (/ (+ 1.421413741 (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) (+ 1 (* (fabs x) 0.3275911))) (+ (/ -0.284496736 (+ 1 (* (fabs x) 0.3275911))) 0.254829592)) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x))))))

rewrite6.5s

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
30×	`times-frac`
19×	`add-cube-cbrt`
13×	`log-prod`
12×	`difference-of-squares`
8×	`add-log-exp`
7×	`pow1`
6×	`exp-prod` `add-cbrt-cube`
5×	`add-exp-log`
4×	`insert-posit16` `pow-div`
3×	`associate-/r` `log-pow` `associate-/l`
2×	`sub-neg` `flip3--` `diff-log` `div-exp` `rem-log-exp` `div-inv` `flip--` `distribute-lft-out--`
1×	`cbrt-undiv` `log-div` `clear-num` `frac-2neg`

Counts

4 → 97

Calls

4 calls:

Slowest

1.8s	(- 1 (/ (/ (+ (/ (/ (+ 1.421413741 (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) (+ 1 (* (fabs x) 0.3275911))) (+ (/ -0.284496736 (+ 1 (* (fabs x) 0.3275911))) 0.254829592)) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x)))))
1.7s	(/ (exp 1) (exp (/ (/ (+ (/ (/ (+ 1.421413741 (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) (+ 1 (* (fabs x) 0.3275911))) (+ (/ -0.284496736 (+ 1 (* (fabs x) 0.3275911))) 0.254829592)) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x))))))
1.6s	(- 1 (/ (/ (+ (/ (/ (+ 1.421413741 (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) (+ 1 (* (fabs x) 0.3275911))) (+ (/ -0.284496736 (+ 1 (* (fabs x) 0.3275911))) 0.254829592)) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x)))))
1.4s	(log (/ (exp 1) (exp (/ (/ (+ (/ (/ (+ 1.421413741 (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) (+ 1 (* (fabs x) 0.3275911))) (+ (/ -0.284496736 (+ 1 (* (fabs x) 0.3275911))) 0.254829592)) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x)))))))

series3.9s

Counts

4 → 12

Calls

4 calls:

Slowest

1.2s	(log (/ (exp 1) (exp (/ (/ (+ (/ (/ (+ 1.421413741 (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) (+ 1 (* (fabs x) 0.3275911))) (+ (/ -0.284496736 (+ 1 (* (fabs x) 0.3275911))) 0.254829592)) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x)))))))
1.0s	(- 1 (/ (/ (+ (/ (/ (+ 1.421413741 (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) (+ 1 (* (fabs x) 0.3275911))) (+ (/ -0.284496736 (+ 1 (* (fabs x) 0.3275911))) 0.254829592)) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x)))))
924.0ms	(- 1 (/ (/ (+ (/ (/ (+ 1.421413741 (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) (+ 1 (* (fabs x) 0.3275911))) (+ (/ -0.284496736 (+ 1 (* (fabs x) 0.3275911))) 0.254829592)) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x)))))
713.0ms	(/ (exp 1) (exp (/ (/ (+ (/ (/ (+ 1.421413741 (/ (+ (/ 1.061405429 (+ 1 (* (fabs x) 0.3275911))) -1.453152027) (+ 1 (* (fabs x) 0.3275911)))) (+ 1 (* (fabs x) 0.3275911))) (+ 1 (* (fabs x) 0.3275911))) (+ (/ -0.284496736 (+ 1 (* (fabs x) 0.3275911))) 0.254829592)) (+ 1 (* (fabs x) 0.3275911))) (exp (* (fabs x) (fabs x))))))

simplify3.5s

Counts: 109 → 109

prune2.5s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 13.6b

regimes166.0ms

Accuracy

0% (0.0b remaining)

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

bsearch28.0ms

end0.0ms

sample3.2s

Algorithm

intervals

Results

2.1s	3870×	body	160	valid
1.0s	4130×	body	80	valid