Details

Time bar (total: 1.7s)

sample12.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify16.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0154
1364
2734
31274
41674
51854
61874
71874

prune1.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.2b

localize5.0ms

Local error

Found 1 expressions with local error:

12.9b
(/ (* (* x 2.0) y) (- x y))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
10×add-exp-log add-cbrt-cube
7×add-sqr-sqrt *-un-lft-identity
5×times-frac associate-/r*
3×cbrt-undiv add-cube-cbrt div-exp prod-exp cbrt-unprod
2×associate-/r/ distribute-lft-out-- difference-of-squares
1×pow1 expm1-log1p-u flip3-- frac-2neg clear-num flip-- log1p-expm1-u div-inv associate-/l* add-log-exp
Counts
1 → 31
Calls
1 calls:
10.0ms
(/ (* (* x 2.0) y) (- x y))

series64.0ms

Counts
1 → 3
Calls
1 calls:
64.0ms
(/ (* (* x 2.0) y) (- x y))

simplify32.0ms

Algorithm
egg-herbie
Counts
34 → 34
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0214194
11150161
25001161

prune58.0ms

Filtered
34 candidates to 23 candidates (67.6%)
Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.2b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- x y))
7.8b
(* (* x 2.0) (/ y (- x y)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
35×add-sqr-sqrt *-un-lft-identity
30×times-frac
21×add-cube-cbrt associate-*r*
16×add-exp-log add-cbrt-cube
7×pow1 distribute-lft-out-- difference-of-squares
6×prod-exp cbrt-unprod
5×associate-/r*
4×associate-/r/
3×cbrt-undiv div-exp pow-prod-down associate-/l*
2×expm1-log1p-u flip3-- flip-- log1p-expm1-u div-inv add-log-exp
1×frac-2neg associate-*r/ associate-*l* clear-num *-commutative
Counts
2 → 82
Calls
2 calls:
7.0ms
(/ y (- x y))
16.0ms
(* (* x 2.0) (/ y (- x y)))

series107.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(/ y (- x y))
61.0ms
(* (* x 2.0) (/ y (- x y)))

simplify45.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0315451
11665401
25001401

prune135.0ms

Filtered
88 candidates to 56 candidates (63.6%)
Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (- x y))
0.0b
(* 2.0 (/ y (- x y)))
7.5b
(* x (* 2.0 (/ y (- x y))))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
38×*-un-lft-identity
31×times-frac
24×add-cube-cbrt
22×associate-*r*
19×add-exp-log add-cbrt-cube
10×pow1
7×prod-exp cbrt-unprod distribute-lft-out-- difference-of-squares
6×associate-*l*
5×associate-/r*
4×pow-prod-down associate-/r/
3×cbrt-undiv expm1-log1p-u associate-*r/ div-exp log1p-expm1-u associate-/l* add-log-exp
2×flip3-- *-commutative flip-- div-inv unswap-sqr
1×frac-2neg clear-num
Counts
3 → 104
Calls
3 calls:
5.0ms
(/ y (- x y))
16.0ms
(* 2.0 (/ y (- x y)))
16.0ms
(* x (* 2.0 (/ y (- x y))))

series158.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(/ y (- x y))
52.0ms
(* 2.0 (/ y (- x y)))
63.0ms
(* x (* 2.0 (/ y (- x y))))

simplify41.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0310537
11438476
25002476

prune181.0ms

Filtered
113 candidates to 78 candidates (69.0%)
Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x y) y)
8.1b
(/ (* x 2.0) (/ (- x y) y))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
64×times-frac
50×add-sqr-sqrt *-un-lft-identity
30×add-cube-cbrt
22×associate-/r*
16×add-exp-log add-cbrt-cube
10×distribute-lft-out-- difference-of-squares
7×cbrt-undiv div-exp
6×associate-/l*
4×div-inv
2×pow1 expm1-log1p-u frac-2neg prod-exp clear-num cbrt-unprod log1p-expm1-u associate-/l/ add-log-exp
1×flip3-- div-sub associate-/r/ flip--
Counts
2 → 100
Calls
2 calls:
8.0ms
(/ (- x y) y)
9.0ms
(/ (* x 2.0) (/ (- x y) y))

series86.0ms

Counts
2 → 6
Calls
2 calls:
23.0ms
(/ (- x y) y)
62.0ms
(/ (* x 2.0) (/ (- x y) y))

simplify48.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0392620
11920563
25001562

prune172.0ms

Filtered
106 candidates to 76 candidates (71.7%)
Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

regimes36.0ms

Accuracy

92.1% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 7.7b

bsearch59.0ms

Steps
ItersRangePoint
9
7.55763954010403e+115
2.3254426227046372e+123
7.653223265713869e+115
8
-1.644319084059968e+39
-6.250437036933385e+35
-3.331815203397324e+37

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0268
1268

end0.0ms

sample297.0ms

Algorithm
intervals
Results
174.0ms8000×body80valid