Details

Time bar (total: 2.4s)

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

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 15.0b

Counts
2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

14.7b
(/ (* (* x 2.0) y) (- x y))

rewrite9.0ms

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:
8.0ms
(/ (* (* x 2.0) y) (- x y))

series60.0ms

Counts
1 → 3
Calls
1 calls:
60.0ms
(/ (* (* x 2.0) y) (- x y))

simplify32.0ms

Algorithm
egg-herbie
Counts
34 → 34
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0214194
11150161
25001161

prune55.0ms

Filtered
34 candidates to 23 candidates (67.6%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New30434
Fresh000
Picked011
Done000
Total30535

Merged error: 0.0b

Counts
35 → 5

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- x y))
6.8b
(* (* x 2.0) (/ y (- x y)))

rewrite17.0ms

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:
5.0ms
(/ y (- x y))
10.0ms
(* (* x 2.0) (/ y (- x y)))

series103.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(/ y (- x y))
60.0ms
(* (* x 2.0) (/ y (- x y)))

simplify44.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0315451
11665401
25001401

prune131.0ms

Filtered
88 candidates to 58 candidates (65.9%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New85388
Fresh213
Picked011
Done011
Total87693

Merged error: 0b

Counts
93 → 6

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
1.4b
(* (* x 2.0) (/ (* (cbrt y) (cbrt y)) (* (cbrt (- x y)) (cbrt (- x y)))))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
45×add-exp-log
29×add-cbrt-cube
23×prod-exp cbrt-unprod
13×associate-*r*
12×cbrt-div
9×pow1 cbrt-prod
8×cbrt-undiv add-sqr-sqrt add-cube-cbrt *-un-lft-identity div-exp associate-/r/
6×flip3-- flip--
4×expm1-log1p-u frac-times log1p-expm1-u add-log-exp
3×pow1/3 associate-*r/ pow-prod-down
2×associate-*l/
1×times-frac associate-*l* *-commutative div-inv
Counts
4 → 86
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
18.0ms
(* (* x 2.0) (/ (* (cbrt y) (cbrt y)) (* (cbrt (- x y)) (cbrt (- x y)))))

series775.0ms

Counts
4 → 12
Calls
4 calls:
172.0ms
(cbrt y)
172.0ms
(cbrt y)
164.0ms
(cbrt y)
266.0ms
(* (* x 2.0) (/ (* (cbrt y) (cbrt y)) (* (cbrt (- x y)) (cbrt (- x y)))))

simplify67.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
0499853
12511647
25001585

prune235.0ms

Filtered
98 candidates to 68 candidates (69.4%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New98098
Fresh033
Picked011
Done022
Total986104

Merged error: 0b

Counts
104 → 6

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x y) y)
6.9b
(/ (* x 2.0) (/ (- x y) y))

rewrite22.0ms

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:
6.0ms
(/ (- x y) y)
8.0ms
(/ (* x 2.0) (/ (- x y) y))

series88.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(/ (- x y) y)
58.0ms
(/ (* x 2.0) (/ (- x y) y))

simplify53.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0392620
11920563
25001562

prune180.0ms

Filtered
106 candidates to 75 candidates (70.8%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1051106
Fresh112
Picked101
Done123
Total1084112

Merged error: 0b

Counts
112 → 4

regimes84.0ms

Accuracy

99.4% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 7.1b

bsearch35.0ms

Steps
ItersRangePoint
3
1.8250189704727073e-11
2.2008713026740717e-11
1.9424728242856332e-11
8
-2.631843957881049e-21
-7.717627602606087e-24
-2.604092671850419e-21

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0218
1218

end0.0ms

sample294.0ms

Algorithm
intervals
Results
171.0ms8000×body80valid