Average Error: 0.2 → 0.0
Time: 5.5s
Precision: 64
Internal Precision: 128
\[\left(d1 \cdot 10 + d1 \cdot d2\right) + d1 \cdot 20\]
↓
\[\left(30 + d2\right) \cdot d1\]

Error

Bits error versus d1

Bits error versus d2

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original0.2
Target0.0
Herbie0.0
\[d1 \cdot \left(30 + d2\right)\]

Derivation

  1. Initial program 0.2

    \[\left(d1 \cdot 10 + d1 \cdot d2\right) + d1 \cdot 20\]

  2. Initial simplification0.0

    \[\leadsto d1 \cdot \left(30 + d2\right)\]

  3. Final simplification0.0

    \[\leadsto \left(30 + d2\right) \cdot d1\]

Reproduce

herbie shell --seed 2018360 
(FPCore (d1 d2)
  :name "FastMath test2"

  :herbie-target
  (* d1 (+ 30 d2))

  (+ (+ (* d1 10) (* d1 d2)) (* d1 20)))

Details

Time bar (total: 3.8s)Debug log

start39.0ms

Algorithm
intervals

setup60.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b
(* d1 (+ 30 d2))

rewrite1.0ms

Algorithm
rewrite-expression-head
Counts
1 → 15
Calls

1 calls. Slowest were:

1.0ms
(* d1 (+ 30 d2))

series24.0ms

Counts
1 → 3
Calls

1 calls. Slowest were:

24.0ms
(* d1 (+ 30 d2))

simplify61.0ms

Counts
10 → 18
Calls

10 calls. Slowest were:

25.0ms
(+ (* 30 30) (- (* d2 d2) (* 30 d2)))
10.0ms
(+ (* d2 d1) (* 30 d1))
7.0ms
(+ (* d2 d1) (* 30 d1))

prune199.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ (* d1 30) (* d1 d2))

rewrite5.0ms

Algorithm
rewrite-expression-head
Counts
1 → 12
Calls

1 calls. Slowest were:

5.0ms
(+ (* d1 30) (* d1 d2))

series31.0ms

Counts
1 → 3
Calls

1 calls. Slowest were:

31.0ms
(+ (* d1 30) (* d1 d2))

simplify31.0ms

Counts
5 → 15
Calls

5 calls. Slowest were:

15.0ms
(* (exp (* d1 30)) (exp (* d1 d2)))
5.0ms
(+ (* d2 d1) (* 30 d1))
4.0ms
(+ (* d2 d1) (* 30 d1))

prune143.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

17.9b
(/ (* d1 (+ (pow 30 3) (pow d2 3))) (- 900 (* d2 (- 30 d2))))
3.3b
(* d1 (+ (pow 30 3) (pow d2 3)))
0.0b
(* d2 (- 30 d2))
0.0b
(- 900 (* d2 (- 30 d2)))

rewrite14.0ms

Algorithm
rewrite-expression-head
Counts
4 → 72
Calls

4 calls. Slowest were:

7.0ms
(/ (* d1 (+ (pow 30 3) (pow d2 3))) (- 900 (* d2 (- 30 d2))))
5.0ms
(* d1 (+ (pow 30 3) (pow d2 3)))
1.0ms
(* d2 (- 30 d2))

series191.0ms

Counts
4 → 12
Calls

4 calls. Slowest were:

91.0ms
(/ (* d1 (+ (pow 30 3) (pow d2 3))) (- 900 (* d2 (- 30 d2))))
52.0ms
(* d1 (+ (pow 30 3) (pow d2 3)))
33.0ms
(* d2 (- 30 d2))
15.0ms
(- 900 (* d2 (- 30 d2)))

simplify1.7s

Counts
49 → 84
Calls

49 calls. Slowest were:

332.0ms
(* d1 (- (* (pow 30 3) (pow 30 3)) (* (pow d2 3) (pow d2 3))))
171.0ms
(* d1 (+ (pow (pow 30 3) 3) (pow (pow d2 3) 3)))
146.0ms
(/ (* (* (* d1 (+ (pow 30 3) (pow d2 3))) (* d1 (+ (pow 30 3) (pow d2 3)))) (* d1 (+ (pow 30 3) (pow d2 3)))) (* (* (- 900 (* d2 (- 30 d2))) (- 900 (* d2 (- 30 d2)))) (- 900 (* d2 (- 30 d2)))))

prune1.2s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes57.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms