Average Error: 1.8 → 0.6
Time: 3.0m
Precision: 64
Internal Precision: 128
\[\frac{\pi}{\sin \left(\pi \cdot z\right)} \cdot \left(\left(\left(\sqrt{\pi \cdot 2} \cdot {\left(\left(\left(\left(1 - z\right) - 1\right) + 7\right) + 0.5\right)}^{\left(\left(\left(1 - z\right) - 1\right) + 0.5\right)}\right) \cdot e^{-\left(\left(\left(\left(1 - z\right) - 1\right) + 7\right) + 0.5\right)}\right) \cdot \left(\left(\left(\left(\left(\left(\left(\left(0.9999999999998099 + \frac{676.5203681218851}{\left(\left(1 - z\right) - 1\right) + 1}\right) + \frac{-1259.1392167224028}{\left(\left(1 - z\right) - 1\right) + 2}\right) + \frac{771.3234287776531}{\left(\left(1 - z\right) - 1\right) + 3}\right) + \frac{-176.6150291621406}{\left(\left(1 - z\right) - 1\right) + 4}\right) + \frac{12.507343278686905}{\left(\left(1 - z\right) - 1\right) + 5}\right) + \frac{-0.13857109526572012}{\left(\left(1 - z\right) - 1\right) + 6}\right) + \frac{9.984369578019572 \cdot 10^{-06}}{\left(\left(1 - z\right) - 1\right) + 7}\right) + \frac{1.5056327351493116 \cdot 10^{-07}}{\left(\left(1 - z\right) - 1\right) + 8}\right)\right)\]
↓
\[\left(\left(\sqrt{\pi \cdot 2} \cdot \frac{\pi}{\sin \left(z \cdot \pi\right)}\right) \cdot \left(\frac{{\left(0.5 + \left(7 - z\right)\right)}^{\left(0.5 + -1\right)}}{e^{6 + 0.5}} \cdot \frac{{\left(0.5 + \left(7 - z\right)\right)}^{\left(1 - z\right)}}{\frac{e}{e^{z}}}\right)\right) \cdot \left(\left(\frac{9.984369578019572 \cdot 10^{-06}}{\left(1 - z\right) - -6} + \frac{1.5056327351493116 \cdot 10^{-07}}{8 - z}\right) + \left(\left(\left(\frac{-0.13857109526572012}{6 - z} + \frac{12.507343278686905}{5 - z}\right) + \frac{-1259.1392167224028}{2 - z}\right) + \left(\left(0.9999999999998099 + \frac{676.5203681218851}{1 - z}\right) + \left(\frac{771.3234287776531}{3 - z} + \frac{-176.6150291621406}{4 - z}\right)\right)\right)\right)\]

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. Simplified0.6

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

  3. Simplified0.6

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

  5. Applied exp-sum0.6

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

  6. Applied sub-neg0.6

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

  7. Applied unpow-prod-up0.6

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

  8. Applied times-frac0.6

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

  9. Simplified0.6

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

  10. Simplified0.6

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

  11. Final simplification0.6

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

Reproduce

herbie shell --seed 2019008 +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: 3.0m)Debug log

sample1.6s

Algorithm
intervals

simplify122.0ms

Counts
1 → 1
Calls

1 calls. Slowest were:

121.0ms
(* (/ 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)))))

prune58.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.6b

localize210.0ms

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:

29.0ms
(* (pow (- (- 1 z) (- -6 0.5)) (- (- 1 z) (- 1 0.5))) (/ 1 (exp (- (- 1 z) (- -6 0.5)))))
9.0ms
(+ (/ 771.3234287776531 (- 1 (+ z -2))) (/ -176.6150291621406 (- 5 (+ z 1))))
8.0ms
(+ (+ 0.9999999999998099 (/ 676.5203681218851 (- 1 z))) (/ -1259.1392167224028 (+ (- 1 z) 1)))

series136.0ms

Counts
4 → 10
Calls

4 calls. Slowest were:

84.0ms
(* (pow (- (- 1 z) (- -6 0.5)) (- (- 1 z) (- 1 0.5))) (/ 1 (exp (- (- 1 z) (- -6 0.5)))))
31.0ms
(+ (/ 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))

simplify16.8s

Counts
65 → 110
Calls

65 calls. Slowest were:

1.2s
(pow (+ (sqrt (- 1 z)) (sqrt (- -6 0.5))) (- (- 1 z) (- 1 0.5)))
936.0ms
(pow (- (- 1 z) (- -6 0.5)) (fma (sqrt (- 1 z)) (sqrt (- 1 z)) (- (* (sqrt (- 1 0.5)) (sqrt (- 1 0.5))))))
726.0ms
(+ (* (+ (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))

prune5.4s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize156.0ms

Local error

Found 4 expressions with local error:

1.0b
(sqrt (* 2 PI))
1.0b
(+ (/ -176.6150291621406 (- 4 z)) (/ 771.3234287776531 (- 3 z)))
1.0b
(+ (/ -0.13857109526572012 (- 6 z)) (/ 12.507343278686905 (- 5 z)))
1.0b
(/ (pow (+ (- 1 z) (+ 6 0.5)) (- (- 1 z) (- 1 0.5))) (exp (+ (- 1 z) (+ 6 0.5))))

rewrite56.0ms

Algorithm
rewrite-expression-head
Counts
4 → 180
Calls

4 calls. Slowest were:

36.0ms
(/ (pow (+ (- 1 z) (+ 6 0.5)) (- (- 1 z) (- 1 0.5))) (exp (+ (- 1 z) (+ 6 0.5))))
8.0ms
(+ (/ -176.6150291621406 (- 4 z)) (/ 771.3234287776531 (- 3 z)))
5.0ms
(+ (/ -0.13857109526572012 (- 6 z)) (/ 12.507343278686905 (- 5 z)))

series157.0ms

Counts
4 → 10
Calls

4 calls. Slowest were:

104.0ms
(/ (pow (+ (- 1 z) (+ 6 0.5)) (- (- 1 z) (- 1 0.5))) (exp (+ (- 1 z) (+ 6 0.5))))
28.0ms
(+ (/ -176.6150291621406 (- 4 z)) (/ 771.3234287776531 (- 3 z)))
25.0ms
(+ (/ -0.13857109526572012 (- 6 z)) (/ 12.507343278686905 (- 5 z)))
0.0ms
(sqrt (* 2 PI))

simplify1.2m

Counts
225 → 190
Calls

225 calls. Slowest were:

1.3s
(/ (pow (sqrt (+ (- 1 z) (+ 6 0.5))) (- (- 1 z) (- 1 0.5))) (exp (- 1 z)))
1.3s
(/ (pow 1 (- (- 1 z) (- 1 0.5))) 1)
1.2s
(pow (* (cbrt (+ (- 1 z) (+ 6 0.5))) (cbrt (+ (- 1 z) (+ 6 0.5)))) (- (- 1 z) (- 1 0.5)))

prune9.1s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize52.0ms

Local error

Found 4 expressions with local error:

1.0b
(sqrt (* 2 PI))
1.0b
(+ (/ -176.6150291621406 (- 4 z)) (/ 771.3234287776531 (- 3 z)))
1.0b
(/ (pow (+ 0.5 (- 7 z)) (- 1 z)) (/ E (exp z)))
1.0b
(+ (/ -0.13857109526572012 (- 6 z)) (/ 12.507343278686905 (- 5 z)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Counts
4 → 115
Calls

4 calls. Slowest were:

12.0ms
(/ (pow (+ 0.5 (- 7 z)) (- 1 z)) (/ E (exp z)))
10.0ms
(+ (/ -0.13857109526572012 (- 6 z)) (/ 12.507343278686905 (- 5 z)))
6.0ms
(+ (/ -176.6150291621406 (- 4 z)) (/ 771.3234287776531 (- 3 z)))

series157.0ms

Counts
4 → 10
Calls

4 calls. Slowest were:

95.0ms
(/ (pow (+ 0.5 (- 7 z)) (- 1 z)) (/ E (exp z)))
36.0ms
(+ (/ -0.13857109526572012 (- 6 z)) (/ 12.507343278686905 (- 5 z)))
26.0ms
(+ (/ -176.6150291621406 (- 4 z)) (/ 771.3234287776531 (- 3 z)))
0.0ms
(sqrt (* 2 PI))

simplify8.6s

Counts
108 → 125
Calls

108 calls. Slowest were:

573.0ms
(- (* (log (+ 0.5 (- 7 z))) (- 1 z)) (log (/ E (exp z))))
537.0ms
(- (* (log (+ 0.5 (- 7 z))) (- 1 z)) (log (/ E (exp z))))
475.0ms
(* (+ (+ (/ 1.5056327351493116e-07 (- 8 z)) (/ 9.984369578019572e-06 (- (- 1 z) -6))) (+ (+ (+ (/ -176.6150291621406 (- 4 z)) (/ 771.3234287776531 (- 3 z))) (+ (/ 676.5203681218851 (- 1 z)) 0.9999999999998099)) (+ (/ -1259.1392167224028 (- 2 z)) (+ (/ -0.13857109526572012 (- 6 z)) (/ 12.507343278686905 (- 5 z)))))) (* (* (/ (pow (+ 0.5 (- 7 z)) (- 1 z)) (/ E (exp z))) (/ (pow (+ (- 7 z) 0.5) (+ -1 0.5)) (exp (+ 6 0.5)))) (* (sqrt (* 2 PI)) (/ PI (sin (* PI z))))))

prune6.9s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

1.0b
(sqrt (* 2 PI))
1.0b
(* (cbrt (+ (- 7 z) 0.5)) (cbrt (+ (- 7 z) 0.5)))
1.0b
(+ (/ -176.6150291621406 (- 4 z)) (/ 771.3234287776531 (- 3 z)))
1.0b
(+ (/ -0.13857109526572012 (- 6 z)) (/ 12.507343278686905 (- 5 z)))

rewrite46.0ms

Algorithm
rewrite-expression-head
Counts
4 → 91
Calls

4 calls. Slowest were:

17.0ms
(* (cbrt (+ (- 7 z) 0.5)) (cbrt (+ (- 7 z) 0.5)))
16.0ms
(+ (/ -176.6150291621406 (- 4 z)) (/ 771.3234287776531 (- 3 z)))
10.0ms
(+ (/ -0.13857109526572012 (- 6 z)) (/ 12.507343278686905 (- 5 z)))

series114.0ms

Counts
4 → 10
Calls

4 calls. Slowest were:

47.0ms
(* (cbrt (+ (- 7 z) 0.5)) (cbrt (+ (- 7 z) 0.5)))
34.0ms
(+ (/ -0.13857109526572012 (- 6 z)) (/ 12.507343278686905 (- 5 z)))
33.0ms
(+ (/ -176.6150291621406 (- 4 z)) (/ 771.3234287776531 (- 3 z)))
0.0ms
(sqrt (* 2 PI))

simplify7.8s

Counts
59 → 101
Calls

59 calls. Slowest were:

640.0ms
(* (cbrt (- (* (- 7 z) (- 7 z)) (* 0.5 0.5))) (cbrt (- (* (- 7 z) (- 7 z)) (* 0.5 0.5))))
567.0ms
(cbrt (+ (* (- 7 z) (- 7 z)) (- (* 0.5 0.5) (* (- 7 z) 0.5))))
545.0ms
(* (cbrt (+ (* (- 7 z) (- 7 z)) (- (* 0.5 0.5) (* (- 7 z) 0.5)))) (cbrt (+ (* (- 7 z) (- 7 z)) (- (* 0.5 0.5) (* (- 7 z) 0.5)))))

prune5.1s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes154.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch11.0ms

end0.0ms

sample44.3s

Algorithm
intervals