Average Error: 0.0 → 0.0
Time: 17.3s
Precision: 64
Internal Precision: 128
\[\left(d1 \cdot d2 + \left(d3 + 5\right) \cdot d1\right) + d1 \cdot 32\]
↓
\[\left(d3 + \left(37 + d2\right)\right) \cdot d1\]

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

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2018360 
(FPCore (d1 d2 d3)
  :name "FastMath dist3"

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

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

Details

Time bar (total: 14.6s)Debug log

start63.0ms

Algorithm
intervals

setup216.0ms

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

rewrite6.0ms

Algorithm
rewrite-expression-head
Counts
1 → 13
Calls

1 calls. Slowest were:

5.0ms
(* (+ (+ d2 37) d3) d1)

series17.0ms

Counts
1 → 3
Calls

1 calls. Slowest were:

17.0ms
(* (+ (+ d2 37) d3) d1)

simplify727.0ms

Counts
7 → 16
Calls

7 calls. Slowest were:

430.0ms
(* (+ (pow (+ d2 37) 3) (pow d3 3)) d1)
173.0ms
(* (- (* (+ d2 37) (+ d2 37)) (* d3 d3)) d1)
50.0ms
(+ (* d2 d1) (+ (* d3 d1) (* 37 d1)))

prune153.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite13.0ms

Algorithm
rewrite-expression-head
Counts
3 → 37
Calls

3 calls. Slowest were:

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

series72.0ms

Counts
3 → 9
Calls

3 calls. Slowest were:

25.0ms
(+ (* d1 d2) (* (+ d3 5) d1))
25.0ms
(+ (+ (* d1 d2) (* (+ d3 5) d1)) (* d1 32))
23.0ms
(* (+ d3 5) d1)

simplify893.0ms

Counts
17 → 46
Calls

17 calls. Slowest were:

205.0ms
(* (* (exp (* d1 d2)) (exp (* (+ d3 5) d1))) (exp (* d1 32)))
195.0ms
(* (exp (+ (* d1 d2) (* (+ d3 5) d1))) (exp (* d1 32)))
174.0ms
(* (- (* d3 d3) (* 5 5)) d1)

prune482.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt (+ d3 5))
0.7b
(cbrt (+ d3 5))
0.7b
(cbrt (+ d3 5))
0.7b
(* (cbrt (+ d3 5)) (cbrt (+ d3 5)))

rewrite7.0ms

Algorithm
rewrite-expression-head
Counts
4 → 75
Calls

4 calls. Slowest were:

5.0ms
(* (cbrt (+ d3 5)) (cbrt (+ d3 5)))
1.0ms
(cbrt (+ d3 5))
1.0ms
(cbrt (+ d3 5))

series172.0ms

Counts
4 → 12
Calls

4 calls. Slowest were:

48.0ms
(cbrt (+ d3 5))
48.0ms
(cbrt (+ d3 5))
42.0ms
(cbrt (+ d3 5))
34.0ms
(* (cbrt (+ d3 5)) (cbrt (+ d3 5)))

simplify2.6s

Counts
59 → 87
Calls

59 calls. Slowest were:

280.0ms
(- (+ (* 2/15 (* d3 (pow 25 1/3))) (pow 25 1/3)) (* 1/225 (* (pow d3 2) (pow 25 1/3))))
266.0ms
(- (+ (* 1/15 (* d3 (pow 5 1/3))) (pow 5 1/3)) (* 1/225 (* (pow d3 2) (pow 5 1/3))))
255.0ms
(- (+ (* 1/15 (* d3 (pow 5 1/3))) (pow 5 1/3)) (* 1/225 (* (pow d3 2) (pow 5 1/3))))

prune1.5s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (sqrt (+ (* d1 d2) (* (+ d3 5) d1))) (sqrt (+ (* d1 d2) (* (+ d3 5) d1))))
0.1b
(sqrt (+ (* d1 d2) (* (+ d3 5) d1)))
0.1b
(sqrt (+ (* d1 d2) (* (+ d3 5) d1)))
0.0b
(* (+ d3 5) d1)

rewrite29.0ms

Algorithm
rewrite-expression-head
Counts
4 → 79
Calls

4 calls. Slowest were:

15.0ms
(* (sqrt (+ (* d1 d2) (* (+ d3 5) d1))) (sqrt (+ (* d1 d2) (* (+ d3 5) d1))))
5.0ms
(* (+ d3 5) d1)
4.0ms
(sqrt (+ (* d1 d2) (* (+ d3 5) d1)))

series167.0ms

Counts
4 → 12
Calls

4 calls. Slowest were:

66.0ms
(sqrt (+ (* d1 d2) (* (+ d3 5) d1)))
56.0ms
(sqrt (+ (* d1 d2) (* (+ d3 5) d1)))
30.0ms
(* (sqrt (+ (* d1 d2) (* (+ d3 5) d1))) (sqrt (+ (* d1 d2) (* (+ d3 5) d1))))
15.0ms
(* (+ d3 5) d1)

simplify5.6s

Counts
63 → 91
Calls

63 calls. Slowest were:

514.0ms
(sqrt (+ (* (* d1 d2) (* d1 d2)) (- (* (* (+ d3 5) d1) (* (+ d3 5) d1)) (* (* d1 d2) (* (+ d3 5) d1)))))
513.0ms
(* (sqrt (+ (* (* d1 d2) (* d1 d2)) (- (* (* (+ d3 5) d1) (* (+ d3 5) d1)) (* (* d1 d2) (* (+ d3 5) d1))))) (sqrt (+ (* (* d1 d2) (* d1 d2)) (- (* (* (+ d3 5) d1) (* (+ d3 5) d1)) (* (* d1 d2) (* (+ d3 5) d1))))))
314.0ms
(* (sqrt (+ (pow (* d1 d2) 3) (pow (* (+ d3 5) d1) 3))) (sqrt (+ (pow (* d1 d2) 3) (pow (* (+ d3 5) d1) 3))))

prune1.4s

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes336.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms