Average Error: 0.0 → 0.0
Time: 31.9s
Precision: 64
Internal Precision: 128
\[\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32\]
↓
\[\left(\left(d2 + 37\right) + d3\right) \cdot d1\]

Error

Bits error versus d1

Bits error versus d2

Bits error versus d3

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original0.0
Target0.0
Herbie0.0
\[d1 \cdot \left(\left(37 + d3\right) + d2\right)\]

Derivation

  1. Initial program 0.0

    \[\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32\]

  2. Simplified0.0

    \[\leadsto \color{blue}{\left(d3 + \left(d2 + 37\right)\right) \cdot d1}\]

  3. Final simplification0.0

    \[\leadsto \left(\left(d2 + 37\right) + d3\right) \cdot d1\]

Reproduce

herbie shell --seed 2019007 
(FPCore (d1 d2 d3)
  :name "FastMath dist3"

  :herbie-target
  (* d1 (+ (+ 37 d3) d2))

  (+ (+ (* d1 d2) (* (+ d3 5) d1)) (* d1 32)))

Details

Time bar (total: 31.4s)Debug log

sample87.0ms

Algorithm
intervals

simplify266.0ms

Counts
1 → 1
Calls

1 calls. Slowest were:

266.0ms
(+ (+ (* d1 d2) (* (+ d3 5) d1)) (* d1 32))

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

0.0b
(* (+ d3 (+ d2 37)) d1)

rewrite3.0ms

Algorithm
rewrite-expression-head
Counts
1 → 13
Calls

1 calls. Slowest were:

3.0ms
(* (+ d3 (+ d2 37)) d1)

series19.0ms

Counts
1 → 3
Calls

1 calls. Slowest were:

19.0ms
(* (+ d3 (+ d2 37)) d1)

simplify864.0ms

Counts
7 → 16
Calls

7 calls. Slowest were:

565.0ms
(* (+ (pow d3 3) (pow (+ d2 37) 3)) d1)
146.0ms
(* (- (* d3 d3) (* (+ d2 37) (+ d2 37))) d1)
47.0ms
(+ (* d3 d1) (+ (* d2 d1) (* 37 d1)))

prune127.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

15.2b
(/ (* (- (* d3 d3) (* (+ d2 37) (+ d2 37))) d1) (- d3 (+ d2 37)))
9.7b
(* (- (* d3 d3) (* (+ d2 37) (+ d2 37))) d1)
2.9b
(- (* d3 d3) (* (+ d2 37) (+ d2 37)))
0.0b
(* (+ d2 37) (+ d2 37))

rewrite34.0ms

Algorithm
rewrite-expression-head
Counts
4 → 82
Calls

4 calls. Slowest were:

13.0ms
(/ (* (- (* d3 d3) (* (+ d2 37) (+ d2 37))) d1) (- d3 (+ d2 37)))
9.0ms
(* (- (* d3 d3) (* (+ d2 37) (+ d2 37))) d1)
6.0ms
(* (+ d2 37) (+ d2 37))

series127.0ms

Counts
4 → 12
Calls

4 calls. Slowest were:

43.0ms
(* (- (* d3 d3) (* (+ d2 37) (+ d2 37))) d1)
43.0ms
(/ (* (- (* d3 d3) (* (+ d2 37) (+ d2 37))) d1) (- d3 (+ d2 37)))
32.0ms
(- (* d3 d3) (* (+ d2 37) (+ d2 37)))
9.0ms
(* (+ d2 37) (+ d2 37))

simplify8.1s

Counts
63 → 94
Calls

63 calls. Slowest were:

637.0ms
(* (- (pow (* d3 d3) 3) (pow (* (+ d2 37) (+ d2 37)) 3)) d1)
614.0ms
(* (- (pow (* d3 d3) 3) (pow (* (+ d2 37) (+ d2 37)) 3)) d1)
516.0ms
(* (- (* d2 d2) (* 37 37)) (+ d2 37))

prune1.0s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

28.4b
(/ (* (+ (pow d3 3) (pow (+ d2 37) 3)) d1) (+ (* d3 d3) (- (* (+ d2 37) (+ d2 37)) (* d3 (+ d2 37)))))
6.5b
(* (+ (pow d3 3) (pow (+ d2 37) 3)) d1)
2.1b
(+ (pow d3 3) (pow (+ d2 37) 3))
1.6b
(- (* (+ d2 37) (+ d2 37)) (* d3 (+ d2 37)))

rewrite68.0ms

Algorithm
rewrite-expression-head
Counts
4 → 88
Calls

4 calls. Slowest were:

24.0ms
(/ (* (+ (pow d3 3) (pow (+ d2 37) 3)) d1) (+ (* d3 d3) (- (* (+ d2 37) (+ d2 37)) (* d3 (+ d2 37)))))
17.0ms
(* (+ (pow d3 3) (pow (+ d2 37) 3)) d1)
12.0ms
(- (* (+ d2 37) (+ d2 37)) (* d3 (+ d2 37)))

series280.0ms

Counts
4 → 12
Calls

4 calls. Slowest were:

131.0ms
(/ (* (+ (pow d3 3) (pow (+ d2 37) 3)) d1) (+ (* d3 d3) (- (* (+ d2 37) (+ d2 37)) (* d3 (+ d2 37)))))
75.0ms
(* (+ (pow d3 3) (pow (+ d2 37) 3)) d1)
52.0ms
(+ (pow d3 3) (pow (+ d2 37) 3))
22.0ms
(- (* (+ d2 37) (+ d2 37)) (* d3 (+ d2 37)))

simplify17.0s

Counts
84 → 100
Calls

84 calls. Slowest were:

759.0ms
(* (+ (pow (pow d3 3) 3) (pow (pow (+ d2 37) 3) 3)) d1)
711.0ms
(* (+ (pow (pow d3 3) 3) (pow (pow (+ d2 37) 3) 3)) d1)
616.0ms
(/ (+ (pow d3 3) (pow (+ d2 37) 3)) (* (cbrt (+ (* d3 d3) (- (* (+ d2 37) (+ d2 37)) (* d3 (+ d2 37))))) (cbrt (+ (* d3 d3) (- (* (+ d2 37) (+ d2 37)) (* d3 (+ d2 37)))))))

prune1.4s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes123.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample1.9s

Algorithm
intervals