Average Error: 0.0 → 0.0
Time: 11.6s
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 2018365 
(FPCore (d1 d2 d3)
  :name "FastMath dist3"

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

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

Details

Time bar (total: 9.7s)Debug log

start86.0ms

Algorithm
intervals

setup295.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 1 expressions with local error:

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

rewrite6.0ms

Algorithm
rewrite-expression-head
Counts
1 → 13
Calls

1 calls. Slowest were:

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

series33.0ms

Counts
1 → 3
Calls

1 calls. Slowest were:

33.0ms
(* (+ d3 (+ d2 37)) d1)

simplify783.0ms

Counts
7 → 16
Calls

7 calls. Slowest were:

543.0ms
(* (+ (pow d3 3) (pow (+ d2 37) 3)) d1)
122.0ms
(* (- (* d3 d3) (* (+ d2 37) (+ d2 37))) d1)
30.0ms
(+ (* d3 d1) (+ (* d2 d1) (* 37 d1)))

prune152.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

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)

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)

series83.0ms

Counts
3 → 9
Calls

3 calls. Slowest were:

35.0ms
(+ (* d1 d2) (* (+ d3 5) d1))
24.0ms
(+ (+ (* d1 d2) (* (+ d3 5) d1)) (* d1 32))
24.0ms
(* (+ d3 5) d1)

simplify869.0ms

Counts
17 → 46
Calls

17 calls. Slowest were:

182.0ms
(* (* (exp (* d1 d2)) (exp (* (+ d3 5) d1))) (exp (* d1 32)))
178.0ms
(* (- (* d3 d3) (* 5 5)) d1)
169.0ms
(* (exp (+ (* d1 d2) (* (+ d3 5) d1))) (exp (* d1 32)))

prune472.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (* (+ d3 5) d1))
0.6b
(cbrt (* (+ d3 5) d1))
0.6b
(cbrt (* (+ d3 5) d1))
0.5b
(* (cbrt (* (+ d3 5) d1)) (cbrt (* (+ d3 5) d1)))

rewrite14.0ms

Algorithm
rewrite-expression-head
Counts
4 → 65
Calls

4 calls. Slowest were:

8.0ms
(* (cbrt (* (+ d3 5) d1)) (cbrt (* (+ d3 5) d1)))
1.0ms
(cbrt (* (+ d3 5) d1))
1.0ms
(cbrt (* (+ d3 5) d1))

series354.0ms

Counts
4 → 12
Calls

4 calls. Slowest were:

104.0ms
(* (cbrt (* (+ d3 5) d1)) (cbrt (* (+ d3 5) d1)))
89.0ms
(cbrt (* (+ d3 5) d1))
88.0ms
(cbrt (* (+ d3 5) d1))
73.0ms
(cbrt (* (+ d3 5) d1))

simplify5.2s

Counts
49 → 77
Calls

49 calls. Slowest were:

366.0ms
(- (+ (* 1/15 (* d3 (exp (* 1/3 (+ (log 5) (log d1)))))) (exp (* 1/3 (+ (log 5) (log d1))))) (* 1/225 (* (pow d3 2) (exp (* 1/3 (+ (log 5) (log d1)))))))
338.0ms
(- (+ (* 1/15 (* d3 (exp (* 1/3 (+ (log 5) (log d1)))))) (exp (* 1/3 (+ (log 5) (log d1))))) (* 1/225 (* (pow d3 2) (exp (* 1/3 (+ (log 5) (log d1)))))))
325.0ms
(* (* (+ d3 5) d1) (* (+ d3 5) d1))

prune1.2s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes182.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms