Average Error: 1.8 → 0.7
Time: 2.8m
Precision: 64
Internal Precision: 128
\[\frac{\pi}{\sin \left(\pi \cdot z\right)} \cdot \left(\left(\left(\sqrt{\pi \cdot 2} \cdot {\left(\left(\left(\left(1 - z\right) - 1\right) + 7\right) + 0.5\right)}^{\left(\left(\left(1 - z\right) - 1\right) + 0.5\right)}\right) \cdot e^{-\left(\left(\left(\left(1 - z\right) - 1\right) + 7\right) + 0.5\right)}\right) \cdot \left(\left(\left(\left(\left(\left(\left(\left(0.9999999999998099 + \frac{676.5203681218851}{\left(\left(1 - z\right) - 1\right) + 1}\right) + \frac{-1259.1392167224028}{\left(\left(1 - z\right) - 1\right) + 2}\right) + \frac{771.3234287776531}{\left(\left(1 - z\right) - 1\right) + 3}\right) + \frac{-176.6150291621406}{\left(\left(1 - z\right) - 1\right) + 4}\right) + \frac{12.507343278686905}{\left(\left(1 - z\right) - 1\right) + 5}\right) + \frac{-0.13857109526572012}{\left(\left(1 - z\right) - 1\right) + 6}\right) + \frac{9.984369578019572 \cdot 10^{-06}}{\left(\left(1 - z\right) - 1\right) + 7}\right) + \frac{1.5056327351493116 \cdot 10^{-07}}{\left(\left(1 - z\right) - 1\right) + 8}\right)\right)\]
↓
\[\left(\left(\left(\frac{771.3234287776531}{1 - \left(z + -2\right)} + \frac{-176.6150291621406}{5 - \left(1 + z\right)}\right) + \left(\frac{-1259.1392167224028}{1 + \left(1 - z\right)} + \left(\frac{676.5203681218851}{1 - z} + 0.9999999999998099\right)\right)\right) + \left(\left(\frac{1.5056327351493116 \cdot 10^{-07}}{9 - \left(1 + z\right)} + \frac{9.984369578019572 \cdot 10^{-06}}{\left(1 - z\right) - -6}\right) + \left(\frac{-0.13857109526572012}{5 + \left(1 - z\right)} + \frac{12.507343278686905}{6 - \left(1 + z\right)}\right)\right)\right) \cdot \left(\left(\sqrt{2 \cdot \pi} \cdot \frac{\pi}{\sin \left(\pi \cdot z\right)}\right) \cdot \left({\left(7 + \left(0.5 - z\right)\right)}^{\left(1 - z\right)} \cdot \left(\frac{1}{e^{\left(1 - z\right) - \left(-6 - 0.5\right)}} \cdot {\left(\left(1 - z\right) - \left(-6 - 0.5\right)\right)}^{\left(-\left(1 - 0.5\right)\right)}\right)\right)\right)\]

Error

Bits error versus z

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 1.8

    \[\frac{\pi}{\sin \left(\pi \cdot z\right)} \cdot \left(\left(\left(\sqrt{\pi \cdot 2} \cdot {\left(\left(\left(\left(1 - z\right) - 1\right) + 7\right) + 0.5\right)}^{\left(\left(\left(1 - z\right) - 1\right) + 0.5\right)}\right) \cdot e^{-\left(\left(\left(\left(1 - z\right) - 1\right) + 7\right) + 0.5\right)}\right) \cdot \left(\left(\left(\left(\left(\left(\left(\left(0.9999999999998099 + \frac{676.5203681218851}{\left(\left(1 - z\right) - 1\right) + 1}\right) + \frac{-1259.1392167224028}{\left(\left(1 - z\right) - 1\right) + 2}\right) + \frac{771.3234287776531}{\left(\left(1 - z\right) - 1\right) + 3}\right) + \frac{-176.6150291621406}{\left(\left(1 - z\right) - 1\right) + 4}\right) + \frac{12.507343278686905}{\left(\left(1 - z\right) - 1\right) + 5}\right) + \frac{-0.13857109526572012}{\left(\left(1 - z\right) - 1\right) + 6}\right) + \frac{9.984369578019572 \cdot 10^{-06}}{\left(\left(1 - z\right) - 1\right) + 7}\right) + \frac{1.5056327351493116 \cdot 10^{-07}}{\left(\left(1 - z\right) - 1\right) + 8}\right)\right)\]

  2. Initial simplification0.7

    \[\leadsto \left(\left(\frac{\pi}{\sin \left(\pi \cdot z\right)} \cdot \sqrt{2 \cdot \pi}\right) \cdot \left({\left(\left(1 - z\right) - \left(-6 - 0.5\right)\right)}^{\left(\left(1 - z\right) - \left(1 - 0.5\right)\right)} \cdot \frac{1}{e^{\left(1 - z\right) - \left(-6 - 0.5\right)}}\right)\right) \cdot \left(\left(\left(\frac{771.3234287776531}{1 - \left(z + -2\right)} + \frac{-176.6150291621406}{5 - \left(z + 1\right)}\right) + \left(\left(0.9999999999998099 + \frac{676.5203681218851}{1 - z}\right) + \frac{-1259.1392167224028}{\left(1 - z\right) + 1}\right)\right) + \left(\left(\frac{-0.13857109526572012}{\left(1 - z\right) + 5} + \frac{12.507343278686905}{6 - \left(z + 1\right)}\right) + \left(\frac{1.5056327351493116 \cdot 10^{-07}}{9 - \left(z + 1\right)} + \frac{9.984369578019572 \cdot 10^{-06}}{\left(1 - z\right) - -6}\right)\right)\right)\]
  3. Using strategy rm

  4. Applied sub-neg0.7

    \[\leadsto \left(\left(\frac{\pi}{\sin \left(\pi \cdot z\right)} \cdot \sqrt{2 \cdot \pi}\right) \cdot \left({\left(\left(1 - z\right) - \left(-6 - 0.5\right)\right)}^{\color{blue}{\left(\left(1 - z\right) + \left(-\left(1 - 0.5\right)\right)\right)}} \cdot \frac{1}{e^{\left(1 - z\right) - \left(-6 - 0.5\right)}}\right)\right) \cdot \left(\left(\left(\frac{771.3234287776531}{1 - \left(z + -2\right)} + \frac{-176.6150291621406}{5 - \left(z + 1\right)}\right) + \left(\left(0.9999999999998099 + \frac{676.5203681218851}{1 - z}\right) + \frac{-1259.1392167224028}{\left(1 - z\right) + 1}\right)\right) + \left(\left(\frac{-0.13857109526572012}{\left(1 - z\right) + 5} + \frac{12.507343278686905}{6 - \left(z + 1\right)}\right) + \left(\frac{1.5056327351493116 \cdot 10^{-07}}{9 - \left(z + 1\right)} + \frac{9.984369578019572 \cdot 10^{-06}}{\left(1 - z\right) - -6}\right)\right)\right)\]

  5. Applied unpow-prod-up0.7

    \[\leadsto \left(\left(\frac{\pi}{\sin \left(\pi \cdot z\right)} \cdot \sqrt{2 \cdot \pi}\right) \cdot \left(\color{blue}{\left({\left(\left(1 - z\right) - \left(-6 - 0.5\right)\right)}^{\left(1 - z\right)} \cdot {\left(\left(1 - z\right) - \left(-6 - 0.5\right)\right)}^{\left(-\left(1 - 0.5\right)\right)}\right)} \cdot \frac{1}{e^{\left(1 - z\right) - \left(-6 - 0.5\right)}}\right)\right) \cdot \left(\left(\left(\frac{771.3234287776531}{1 - \left(z + -2\right)} + \frac{-176.6150291621406}{5 - \left(z + 1\right)}\right) + \left(\left(0.9999999999998099 + \frac{676.5203681218851}{1 - z}\right) + \frac{-1259.1392167224028}{\left(1 - z\right) + 1}\right)\right) + \left(\left(\frac{-0.13857109526572012}{\left(1 - z\right) + 5} + \frac{12.507343278686905}{6 - \left(z + 1\right)}\right) + \left(\frac{1.5056327351493116 \cdot 10^{-07}}{9 - \left(z + 1\right)} + \frac{9.984369578019572 \cdot 10^{-06}}{\left(1 - z\right) - -6}\right)\right)\right)\]

  6. Applied associate-*l*0.7

    \[\leadsto \left(\left(\frac{\pi}{\sin \left(\pi \cdot z\right)} \cdot \sqrt{2 \cdot \pi}\right) \cdot \color{blue}{\left({\left(\left(1 - z\right) - \left(-6 - 0.5\right)\right)}^{\left(1 - z\right)} \cdot \left({\left(\left(1 - z\right) - \left(-6 - 0.5\right)\right)}^{\left(-\left(1 - 0.5\right)\right)} \cdot \frac{1}{e^{\left(1 - z\right) - \left(-6 - 0.5\right)}}\right)\right)}\right) \cdot \left(\left(\left(\frac{771.3234287776531}{1 - \left(z + -2\right)} + \frac{-176.6150291621406}{5 - \left(z + 1\right)}\right) + \left(\left(0.9999999999998099 + \frac{676.5203681218851}{1 - z}\right) + \frac{-1259.1392167224028}{\left(1 - z\right) + 1}\right)\right) + \left(\left(\frac{-0.13857109526572012}{\left(1 - z\right) + 5} + \frac{12.507343278686905}{6 - \left(z + 1\right)}\right) + \left(\frac{1.5056327351493116 \cdot 10^{-07}}{9 - \left(z + 1\right)} + \frac{9.984369578019572 \cdot 10^{-06}}{\left(1 - z\right) - -6}\right)\right)\right)\]

  7. Simplified0.7

    \[\leadsto \left(\left(\frac{\pi}{\sin \left(\pi \cdot z\right)} \cdot \sqrt{2 \cdot \pi}\right) \cdot \left(\color{blue}{{\left(\left(0.5 - z\right) + 7\right)}^{\left(1 - z\right)}} \cdot \left({\left(\left(1 - z\right) - \left(-6 - 0.5\right)\right)}^{\left(-\left(1 - 0.5\right)\right)} \cdot \frac{1}{e^{\left(1 - z\right) - \left(-6 - 0.5\right)}}\right)\right)\right) \cdot \left(\left(\left(\frac{771.3234287776531}{1 - \left(z + -2\right)} + \frac{-176.6150291621406}{5 - \left(z + 1\right)}\right) + \left(\left(0.9999999999998099 + \frac{676.5203681218851}{1 - z}\right) + \frac{-1259.1392167224028}{\left(1 - z\right) + 1}\right)\right) + \left(\left(\frac{-0.13857109526572012}{\left(1 - z\right) + 5} + \frac{12.507343278686905}{6 - \left(z + 1\right)}\right) + \left(\frac{1.5056327351493116 \cdot 10^{-07}}{9 - \left(z + 1\right)} + \frac{9.984369578019572 \cdot 10^{-06}}{\left(1 - z\right) - -6}\right)\right)\right)\]

  8. Final simplification0.7

    \[\leadsto \left(\left(\left(\frac{771.3234287776531}{1 - \left(z + -2\right)} + \frac{-176.6150291621406}{5 - \left(1 + z\right)}\right) + \left(\frac{-1259.1392167224028}{1 + \left(1 - z\right)} + \left(\frac{676.5203681218851}{1 - z} + 0.9999999999998099\right)\right)\right) + \left(\left(\frac{1.5056327351493116 \cdot 10^{-07}}{9 - \left(1 + z\right)} + \frac{9.984369578019572 \cdot 10^{-06}}{\left(1 - z\right) - -6}\right) + \left(\frac{-0.13857109526572012}{5 + \left(1 - z\right)} + \frac{12.507343278686905}{6 - \left(1 + z\right)}\right)\right)\right) \cdot \left(\left(\sqrt{2 \cdot \pi} \cdot \frac{\pi}{\sin \left(\pi \cdot z\right)}\right) \cdot \left({\left(7 + \left(0.5 - z\right)\right)}^{\left(1 - z\right)} \cdot \left(\frac{1}{e^{\left(1 - z\right) - \left(-6 - 0.5\right)}} \cdot {\left(\left(1 - z\right) - \left(-6 - 0.5\right)\right)}^{\left(-\left(1 - 0.5\right)\right)}\right)\right)\right)\]

Reproduce

herbie shell --seed 2018365 +o rules:numerics
(FPCore (z)
  :name "Jmat.Real.gamma, branch z less than 0.5"
  (* (/ PI (sin (* PI z))) (* (* (* (sqrt (* PI 2)) (pow (+ (+ (- (- 1 z) 1) 7) 0.5) (+ (- (- 1 z) 1) 0.5))) (exp (- (+ (+ (- (- 1 z) 1) 7) 0.5)))) (+ (+ (+ (+ (+ (+ (+ (+ 0.9999999999998099 (/ 676.5203681218851 (+ (- (- 1 z) 1) 1))) (/ -1259.1392167224028 (+ (- (- 1 z) 1) 2))) (/ 771.3234287776531 (+ (- (- 1 z) 1) 3))) (/ -176.6150291621406 (+ (- (- 1 z) 1) 4))) (/ 12.507343278686905 (+ (- (- 1 z) 1) 5))) (/ -0.13857109526572012 (+ (- (- 1 z) 1) 6))) (/ 9.984369578019572e-06 (+ (- (- 1 z) 1) 7))) (/ 1.5056327351493116e-07 (+ (- (- 1 z) 1) 8))))))

Details

Time bar (total: 1.3m)Debug log

start2.9s

Algorithm
intervals

setup297.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.6b

localize205.0ms

Local error

Found 4 expressions with local error:

2.6b
(+ (+ 0.9999999999998099 (/ 676.5203681218851 (- 1 z))) (/ -1259.1392167224028 (+ (- 1 z) 1)))
1.0b
(sqrt (* 2 PI))
1.0b
(+ (/ 771.3234287776531 (- 1 (+ z -2))) (/ -176.6150291621406 (- 5 (+ z 1))))
1.0b
(* (pow (- (- 1 z) (- -6 0.5)) (- (- 1 z) (- 1 0.5))) (/ 1 (exp (- (- 1 z) (- -6 0.5)))))

rewrite48.0ms

Algorithm
rewrite-expression-head
Counts
4 → 100
Calls

4 calls. Slowest were:

26.0ms
(* (pow (- (- 1 z) (- -6 0.5)) (- (- 1 z) (- 1 0.5))) (/ 1 (exp (- (- 1 z) (- -6 0.5)))))
11.0ms
(+ (+ 0.9999999999998099 (/ 676.5203681218851 (- 1 z))) (/ -1259.1392167224028 (+ (- 1 z) 1)))
9.0ms
(+ (/ 771.3234287776531 (- 1 (+ z -2))) (/ -176.6150291621406 (- 5 (+ z 1))))

series129.0ms

Counts
4 → 10
Calls

4 calls. Slowest were:

86.0ms
(* (pow (- (- 1 z) (- -6 0.5)) (- (- 1 z) (- 1 0.5))) (/ 1 (exp (- (- 1 z) (- -6 0.5)))))
22.0ms
(+ (/ 771.3234287776531 (- 1 (+ z -2))) (/ -176.6150291621406 (- 5 (+ z 1))))
20.0ms
(+ (+ 0.9999999999998099 (/ 676.5203681218851 (- 1 z))) (/ -1259.1392167224028 (+ (- 1 z) 1)))
0.0ms
(sqrt (* 2 PI))

simplify18.4s

Counts
65 → 110
Calls

65 calls. Slowest were:

1.6s
(pow (+ (sqrt (- 1 z)) (sqrt (- -6 0.5))) (- (- 1 z) (- 1 0.5)))
1.2s
(+ (* (+ (pow 0.9999999999998099 3) (pow (/ 676.5203681218851 (- 1 z)) 3)) (+ (- 1 z) 1)) (* (+ (* 0.9999999999998099 0.9999999999998099) (- (* (/ 676.5203681218851 (- 1 z)) (/ 676.5203681218851 (- 1 z))) (* 0.9999999999998099 (/ 676.5203681218851 (- 1 z))))) -1259.1392167224028))
1.0s
(pow (- (- 1 z) (- -6 0.5)) (fma (sqrt (- 1 z)) (sqrt (- 1 z)) (- (* (sqrt (- 1 0.5)) (sqrt (- 1 0.5))))))

prune9.4s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize68.0ms

Local error

Found 4 expressions with local error:

2.6b
(+ (+ 0.9999999999998099 (/ 676.5203681218851 (- 1 z))) (/ -1259.1392167224028 (+ (- 1 z) 1)))
1.0b
(sqrt (* 2 PI))
1.0b
(+ (/ 771.3234287776531 (- 1 (+ z -2))) (/ -176.6150291621406 (- 5 (+ z 1))))
1.0b
(+ (/ -0.13857109526572012 (+ (- 1 z) 5)) (/ 12.507343278686905 (- 6 (+ z 1))))

rewrite26.0ms

Algorithm
rewrite-expression-head
Counts
4 → 73
Calls

4 calls. Slowest were:

12.0ms
(+ (/ -0.13857109526572012 (+ (- 1 z) 5)) (/ 12.507343278686905 (- 6 (+ z 1))))
7.0ms
(+ (+ 0.9999999999998099 (/ 676.5203681218851 (- 1 z))) (/ -1259.1392167224028 (+ (- 1 z) 1)))
5.0ms
(+ (/ 771.3234287776531 (- 1 (+ z -2))) (/ -176.6150291621406 (- 5 (+ z 1))))

series107.0ms

Counts
4 → 10
Calls

4 calls. Slowest were:

39.0ms
(+ (/ 771.3234287776531 (- 1 (+ z -2))) (/ -176.6150291621406 (- 5 (+ z 1))))
37.0ms
(+ (/ -0.13857109526572012 (+ (- 1 z) 5)) (/ 12.507343278686905 (- 6 (+ z 1))))
31.0ms
(+ (+ 0.9999999999998099 (/ 676.5203681218851 (- 1 z))) (/ -1259.1392167224028 (+ (- 1 z) 1)))
0.0ms
(sqrt (* 2 PI))

simplify9.7s

Counts
35 → 83
Calls

35 calls. Slowest were:

2.0s
(+ (* -0.13857109526572012 (- 6 (+ z 1))) (* (+ (- 1 z) 5) 12.507343278686905))
899.0ms
(+ (* (+ (pow 0.9999999999998099 3) (pow (/ 676.5203681218851 (- 1 z)) 3)) (+ (- 1 z) 1)) (* (+ (* 0.9999999999998099 0.9999999999998099) (- (* (/ 676.5203681218851 (- 1 z)) (/ 676.5203681218851 (- 1 z))) (* 0.9999999999998099 (/ 676.5203681218851 (- 1 z))))) -1259.1392167224028))
661.0ms
(* (+ (* 0.9999999999998099 0.9999999999998099) (- (* (/ 676.5203681218851 (- 1 z)) (/ 676.5203681218851 (- 1 z))) (* 0.9999999999998099 (/ 676.5203681218851 (- 1 z))))) (+ (- 1 z) 1))

prune7.1s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize58.0ms

Local error

Found 4 expressions with local error:

2.8b
(fma (* (cbrt (+ 0.9999999999998099 (/ 676.5203681218851 (- 1 z)))) (cbrt (+ 0.9999999999998099 (/ 676.5203681218851 (- 1 z))))) (cbrt (+ 0.9999999999998099 (/ 676.5203681218851 (- 1 z)))) (/ -1259.1392167224028 (+ (- 1 z) 1)))
1.0b
(sqrt (* 2 PI))
1.0b
(+ (/ 771.3234287776531 (- 1 (+ z -2))) (/ -176.6150291621406 (- 5 (+ z 1))))
1.0b
(* (cbrt (+ 0.9999999999998099 (/ 676.5203681218851 (- 1 z)))) (cbrt (+ 0.9999999999998099 (/ 676.5203681218851 (- 1 z)))))

rewrite30.0ms

Algorithm
rewrite-expression-head
Counts
4 → 80
Calls

4 calls. Slowest were:

17.0ms
(* (cbrt (+ 0.9999999999998099 (/ 676.5203681218851 (- 1 z)))) (cbrt (+ 0.9999999999998099 (/ 676.5203681218851 (- 1 z)))))
10.0ms
(+ (/ 771.3234287776531 (- 1 (+ z -2))) (/ -176.6150291621406 (- 5 (+ z 1))))
1.0ms
(sqrt (* 2 PI))

series323.0ms

Counts
4 → 10
Calls

4 calls. Slowest were:

235.0ms
(fma (* (cbrt (+ 0.9999999999998099 (/ 676.5203681218851 (- 1 z)))) (cbrt (+ 0.9999999999998099 (/ 676.5203681218851 (- 1 z))))) (cbrt (+ 0.9999999999998099 (/ 676.5203681218851 (- 1 z)))) (/ -1259.1392167224028 (+ (- 1 z) 1)))
61.0ms
(* (cbrt (+ 0.9999999999998099 (/ 676.5203681218851 (- 1 z)))) (cbrt (+ 0.9999999999998099 (/ 676.5203681218851 (- 1 z)))))
26.0ms
(+ (/ 771.3234287776531 (- 1 (+ z -2))) (/ -176.6150291621406 (- 5 (+ z 1))))
0.0ms
(sqrt (* 2 PI))

simplify8.0s

Counts
51 → 90
Calls

51 calls. Slowest were:

640.0ms
(* (cbrt (+ (pow 0.9999999999998099 3) (pow (/ 676.5203681218851 (- 1 z)) 3))) (cbrt (+ 0.9999999999998099 (/ 676.5203681218851 (- 1 z)))))
541.0ms
(* (cbrt (+ (pow 0.9999999999998099 3) (pow (/ 676.5203681218851 (- 1 z)) 3))) (cbrt (+ (pow 0.9999999999998099 3) (pow (/ 676.5203681218851 (- 1 z)) 3))))
459.0ms
(- (+ (pow 0.9999999999996199 1/3) (* 253815.54669011026 (* (/ 1 (pow z 2)) (pow 0.9999999999996199 1/3)))) (+ (* 305119.87232239795 (* (/ 1 (pow z 2)) (pow (/ 1 (pow 0.9999999999996199 5)) 1/3))) (* 451.0135787480091 (* (/ 1 z) (pow 0.9999999999996199 1/3)))))

prune7.6s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize64.0ms

Local error

Found 4 expressions with local error:

2.8b
(fma (* (cbrt (+ 0.9999999999998099 (/ 676.5203681218851 (- 1 z)))) (cbrt (+ 0.9999999999998099 (/ 676.5203681218851 (- 1 z))))) (cbrt (+ 0.9999999999998099 (/ 676.5203681218851 (- 1 z)))) (/ -1259.1392167224028 (+ (- 1 z) 1)))
1.0b
(sqrt PI)
1.0b
(+ (/ 771.3234287776531 (- 1 (+ z -2))) (/ -176.6150291621406 (- 5 (+ z 1))))
1.0b
(* (cbrt (+ 0.9999999999998099 (/ 676.5203681218851 (- 1 z)))) (cbrt (+ 0.9999999999998099 (/ 676.5203681218851 (- 1 z)))))

rewrite15.0ms

Algorithm
rewrite-expression-head
Counts
4 → 79
Calls

4 calls. Slowest were:

7.0ms
(+ (/ 771.3234287776531 (- 1 (+ z -2))) (/ -176.6150291621406 (- 5 (+ z 1))))
6.0ms
(* (cbrt (+ 0.9999999999998099 (/ 676.5203681218851 (- 1 z)))) (cbrt (+ 0.9999999999998099 (/ 676.5203681218851 (- 1 z)))))
0.0ms
(fma (* (cbrt (+ 0.9999999999998099 (/ 676.5203681218851 (- 1 z)))) (cbrt (+ 0.9999999999998099 (/ 676.5203681218851 (- 1 z))))) (cbrt (+ 0.9999999999998099 (/ 676.5203681218851 (- 1 z)))) (/ -1259.1392167224028 (+ (- 1 z) 1)))

series302.0ms

Counts
4 → 10
Calls

4 calls. Slowest were:

200.0ms
(fma (* (cbrt (+ 0.9999999999998099 (/ 676.5203681218851 (- 1 z)))) (cbrt (+ 0.9999999999998099 (/ 676.5203681218851 (- 1 z))))) (cbrt (+ 0.9999999999998099 (/ 676.5203681218851 (- 1 z)))) (/ -1259.1392167224028 (+ (- 1 z) 1)))
72.0ms
(* (cbrt (+ 0.9999999999998099 (/ 676.5203681218851 (- 1 z)))) (cbrt (+ 0.9999999999998099 (/ 676.5203681218851 (- 1 z)))))
29.0ms
(+ (/ 771.3234287776531 (- 1 (+ z -2))) (/ -176.6150291621406 (- 5 (+ z 1))))
0.0ms
(sqrt PI)

simplify7.7s

Counts
50 → 89
Calls

50 calls. Slowest were:

625.0ms
(* (cbrt (+ (pow 0.9999999999998099 3) (pow (/ 676.5203681218851 (- 1 z)) 3))) (cbrt (+ 0.9999999999998099 (/ 676.5203681218851 (- 1 z)))))
592.0ms
(* (cbrt (+ (pow 0.9999999999998099 3) (pow (/ 676.5203681218851 (- 1 z)) 3))) (cbrt (+ (pow 0.9999999999998099 3) (pow (/ 676.5203681218851 (- 1 z)) 3))))
418.0ms
(- (+ (pow 0.9999999999996199 1/3) (* 253815.54669011026 (* (/ 1 (pow z 2)) (pow 0.9999999999996199 1/3)))) (+ (* 305119.87232239795 (* (/ 1 (pow z 2)) (pow (/ 1 (pow 0.9999999999996199 5)) 1/3))) (* 451.0135787480091 (* (/ 1 z) (pow 0.9999999999996199 1/3)))))

prune6.8s

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

regimes1.2s

Accuracy

0% (0.6b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 0.7b

bsearch18.0ms