Average Error: 0.0 → 0.0
Time: 8.7s
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. Initial simplification0.0

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2018362 
(FPCore (d1 d2 d3)
  :name "FastMath dist3"

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

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

Details

Time bar (total: 6.5s)Debug log

start34.0ms

Algorithm
intervals

setup732.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

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)

series22.0ms

Counts
1 → 3
Calls

1 calls. Slowest were:

22.0ms
(* (+ d3 (+ d2 37)) d1)

simplify808.0ms

Counts
7 → 16
Calls

7 calls. Slowest were:

537.0ms
(* (+ (pow d3 3) (pow (+ d2 37) 3)) d1)
138.0ms
(* (- (* d3 d3) (* (+ d2 37) (+ d2 37))) d1)
38.0ms
(+ (* d3 d1) (+ (* d2 d1) (* 37 d1)))

prune172.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (+ (* d1 d2) (* (+ d3 5) d1)) (* d1 32))
0.0b
(+ (* d1 d2) (* (+ d3 5) d1))
0.0b
(* (+ d3 5) d1)

rewrite15.0ms

Algorithm
rewrite-expression-head
Counts
3 → 37
Calls

3 calls. Slowest were:

8.0ms
(+ (+ (* d1 d2) (* (+ d3 5) d1)) (* d1 32))
4.0ms
(+ (* d1 d2) (* (+ d3 5) d1))
2.0ms
(* (+ d3 5) d1)

series67.0ms

Counts
3 → 9
Calls

3 calls. Slowest were:

29.0ms
(+ (* d1 d2) (* (+ d3 5) d1))
22.0ms
(+ (+ (* d1 d2) (* (+ d3 5) d1)) (* d1 32))
15.0ms
(* (+ d3 5) d1)

simplify921.0ms

Counts
17 → 46
Calls

17 calls. Slowest were:

171.0ms
(* (- (* d3 d3) (* 5 5)) d1)
162.0ms
(* (exp (+ (* d1 d2) (* (+ d3 5) d1))) (exp (* d1 32)))
126.0ms
(* (exp (* d1 d2)) (exp (* (+ d3 5) d1)))

prune530.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize42.0ms

Local error

Found 4 expressions with local error:

9.4b
(/ (* d1 (+ (* d3 d3) -25)) (- d3 5))
5.0b
(* d1 (+ (* d3 d3) -25))
0.0b
(+ (+ (* d1 d2) (/ (* d1 (+ (* d3 d3) -25)) (- d3 5))) (* d1 32))
0.0b
(+ (* d1 d2) (/ (* d1 (+ (* d3 d3) -25)) (- d3 5)))

rewrite43.0ms

Algorithm
rewrite-expression-head
Counts
4 → 62
Calls

4 calls. Slowest were:

24.0ms
(+ (+ (* d1 d2) (/ (* d1 (+ (* d3 d3) -25)) (- d3 5))) (* d1 32))
9.0ms
(/ (* d1 (+ (* d3 d3) -25)) (- d3 5))
5.0ms
(* d1 (+ (* d3 d3) -25))

series265.0ms

Counts
4 → 12
Calls

4 calls. Slowest were:

90.0ms
(+ (+ (* d1 d2) (/ (* d1 (+ (* d3 d3) -25)) (- d3 5))) (* d1 32))
89.0ms
(+ (* d1 d2) (/ (* d1 (+ (* d3 d3) -25)) (- d3 5)))
51.0ms
(/ (* d1 (+ (* d3 d3) -25)) (- d3 5))
35.0ms
(* d1 (+ (* d3 d3) -25))

simplify1.5s

Counts
38 → 74
Calls

38 calls. Slowest were:

200.0ms
(* d1 (- (* (* d3 d3) (* d3 d3)) (* -25 -25)))
198.0ms
(* (* (exp (* d1 d2)) (exp (/ (* d1 (+ (* d3 d3) -25)) (- d3 5)))) (exp (* d1 32)))
184.0ms
(* (exp (+ (* d1 d2) (/ (* d1 (+ (* d3 d3) -25)) (- d3 5)))) (exp (* d1 32)))

prune1.1s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes223.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms