Details

Time bar (total: 1.5s)

sample14.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify17.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0154
1364
2734
31274
41674
51854
61874
71874

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 15.8b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.2b
(* (* x 2.0) y)
15.2b
(/ (* (* x 2.0) y) (- x y))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
16×add-exp-log add-cbrt-cube
add-sqr-sqrt *-un-lft-identity
pow1
prod-exp cbrt-unprod
add-cube-cbrt times-frac associate-/r*
cbrt-undiv div-exp associate-*r* pow-prod-down
expm1-log1p-u associate-/r/ log1p-expm1-u distribute-lft-out-- add-log-exp difference-of-squares
flip3-- frac-2neg associate-*l* clear-num *-commutative flip-- div-inv associate-/l*
Counts
2 → 51
Calls
2 calls:
5.0ms
(* (* x 2.0) y)
8.0ms
(/ (* (* x 2.0) y) (- x y))

series84.0ms

Counts
2 → 6
Calls
2 calls:
20.0ms
(* (* x 2.0) y)
64.0ms
(/ (* (* x 2.0) y) (- x y))

simplify43.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0244269
11500224
25001224

prune77.0ms

Filtered
57 candidates to 36 candidates (63.2%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New53457
Fresh000
Picked101
Done000
Total54458

Merged error: 0.0b

Counts
58 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- x y))
7.3b
(* (* x 2.0) (/ y (- x y)))

rewrite21.0ms

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
pow1 distribute-lft-out-- difference-of-squares
prod-exp cbrt-unprod
associate-/r*
associate-/r/
cbrt-undiv div-exp pow-prod-down associate-/l*
expm1-log1p-u flip3-- flip-- log1p-expm1-u div-inv add-log-exp
frac-2neg associate-*r/ associate-*l* clear-num *-commutative
Counts
2 → 82
Calls
2 calls:
8.0ms
(/ y (- x y))
10.0ms
(* (* x 2.0) (/ y (- x y)))

series106.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(/ y (- x y))
60.0ms
(* (* x 2.0) (/ y (- x y)))

simplify48.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0315451
11665401
25001401

prune118.0ms

Filtered
88 candidates to 60 candidates (68.2%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New86288
Fresh033
Picked011
Done000
Total86692

Merged error: 0b

Counts
92 → 6

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x y) y)
7.6b
(/ (* x 2.0) (/ (- x y) y))

rewrite19.0ms

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
cbrt-undiv div-exp
associate-/l*
div-inv
pow1 expm1-log1p-u frac-2neg prod-exp clear-num cbrt-unprod log1p-expm1-u associate-/l/ add-log-exp
flip3-- div-sub associate-/r/ flip--
Counts
2 → 100
Calls
2 calls:
6.0ms
(/ (- x y) y)
9.0ms
(/ (* x 2.0) (/ (- x y) y))

series86.0ms

Counts
2 → 6
Calls
2 calls:
24.0ms
(/ (- x y) y)
62.0ms
(/ (* x 2.0) (/ (- x y) y))

simplify51.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0392620
11920563
25001562

prune142.0ms

Filtered
106 candidates to 75 candidates (70.8%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1042106
Fresh404
Picked101
Done011
Total1093112

Merged error: 0b

Counts
112 → 3

localize6.0ms

Local error

Found 1 expressions with local error:

7.6b
(/ (* x 2.0) (- (/ x y) 1))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
16×times-frac
11×*-un-lft-identity
10×associate-/r*
difference-of-squares
add-exp-log add-cbrt-cube
difference-of-sqr-1
add-cube-cbrt
cbrt-undiv div-exp associate-/r/ distribute-lft-out--
pow1 expm1-log1p-u flip3-- frac-2neg prod-exp clear-num flip-- cbrt-unprod log1p-expm1-u div-inv associate-/l* add-log-exp
Counts
1 → 39
Calls
1 calls:
10.0ms
(/ (* x 2.0) (- (/ x y) 1))

series58.0ms

Counts
1 → 3
Calls
1 calls:
58.0ms
(/ (* x 2.0) (- (/ x y) 1))

simplify73.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0204259
1859226
23910226
35001226

prune45.0ms

Filtered
42 candidates to 27 candidates (64.3%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New42042
Fresh011
Picked011
Done011
Total42345

Merged error: 0b

Counts
45 → 3

regimes46.0ms

Accuracy

99% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 6.8b

bsearch66.0ms

Steps
ItersRangePoint
8
6.042829624826513e-05
0.820229799340741
0.00862321081018719
10
-5.6941803921493696e-08
-5.358946631019795e-21
-3.077005854270389e-11

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02612
12612

end1.0ms

sample361.0ms

Algorithm
intervals
Results
227.0ms8000×body80valid

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