Details

Time bar (total: 5.3s)

sample14.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify57.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0368
11568
25398
324108
450018

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: 19.1b

Counts
2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (+ x y) (+ x y))
0.1b
(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
18.9b
(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

rewrite118.0ms

Algorithm
rewrite-expression-head
Rules
492×*-un-lft-identity
454×add-sqr-sqrt
448×associate-*l*
420×times-frac
238×associate-*r*
212×add-cube-cbrt
135×unswap-sqr
132×distribute-lft-out
104×swap-sqr
79×*-commutative
60×frac-times flip3-+ flip-+
35×associate-/r*
31×add-exp-log add-cbrt-cube
30×associate-*l/
26×associate-/r/
18×associate-*r/
15×pow1
13×prod-exp cbrt-unprod
12×associate-/l*
6×cbrt-undiv +-commutative distribute-rgt-in distribute-lft-in div-exp
4×associate-+l+ pow-prod-down
3×expm1-log1p-u log1p-expm1-u add-log-exp
1×pow2 frac-2neg pow-plus clear-num pow-sqr pow-prod-up div-inv
Counts
3 → 641
Calls
3 calls:
8.0ms
(* (+ x y) (+ x y))
20.0ms
(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
40.0ms
(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

series243.0ms

Counts
3 → 9
Calls
3 calls:
15.0ms
(* (+ x y) (+ x y))
50.0ms
(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
178.0ms
(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

simplify141.0ms

Algorithm
egg-herbie
Counts
650 → 650
Iterations

Useful iterations: 1 (54.0ms)

IterNodesCost
024357616
150027442

prune724.0ms

Filtered
650 candidates to 307 candidates (47.2%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New63911650
Fresh000
Picked101
Done000
Total64011651

Merged error: 0.0b

Counts
651 → 11

localize13.0ms

Local error

Found 4 expressions with local error:

0.4b
(/ (cbrt x) (/ (fabs (+ x y)) (cbrt x)))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
258×times-frac
147×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
144×cbrt-prod
28×associate-/r*
15×add-cbrt-cube
12×associate-/r/
10×cbrt-undiv
9×add-exp-log associate-/l*
8×div-inv
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 div-exp
2×frac-2neg clear-num
Counts
4 → 231
Calls
4 calls:
11.0ms
(/ (cbrt x) (/ (fabs (+ x y)) (cbrt x)))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series682.0ms

Counts
4 → 12
Calls
4 calls:
116.0ms
(/ (cbrt x) (/ (fabs (+ x y)) (cbrt x)))
192.0ms
(cbrt x)
186.0ms
(cbrt x)
187.0ms
(cbrt x)

simplify137.0ms

Algorithm
egg-herbie
Counts
243 → 243
Iterations

Useful iterations: 2 (110.0ms)

IterNodesCost
06762863
139952727
250012626

prune548.0ms

Filtered
243 candidates to 158 candidates (65.0%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New2403243
Fresh3710
Picked011
Done000
Total24311254

Merged error: 0.0b

Counts
254 → 11

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (fabs (+ x y)))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 52
Calls
4 calls:
1.0ms
(cbrt (fabs (+ x y)))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series597.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(cbrt (fabs (+ x y)))
183.0ms
(cbrt x)
188.0ms
(cbrt x)
182.0ms
(cbrt x)

simplify47.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
063210
1129194
2302186
31086186
45001186

prune206.0ms

Filtered
64 candidates to 54 candidates (84.4%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New63164
Fresh189
Picked011
Done101
Total651075

Merged error: 0.0b

Counts
75 → 10

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt (* (cbrt x) (cbrt x)))
0.6b
(cbrt (cbrt x))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
58×cbrt-prod
25×add-sqr-sqrt
17×add-cube-cbrt *-un-lft-identity
6×swap-sqr associate-*r* associate-*l*
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
1×*-commutative
Counts
4 → 79
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
10.0ms
(cbrt (* (cbrt x) (cbrt x)))
2.0ms
(cbrt (cbrt x))

series904.0ms

Counts
4 → 12
Calls
4 calls:
182.0ms
(cbrt x)
189.0ms
(cbrt x)
277.0ms
(cbrt (* (cbrt x) (cbrt x)))
255.0ms
(cbrt (cbrt x))

simplify57.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 2 (18.0ms)

IterNodesCost
0156471
1456451
22202412
35001412

prune303.0ms

Filtered
91 candidates to 72 candidates (79.1%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New90191
Fresh088
Picked011
Done011
Total9011101

Merged error: 0.0b

Counts
101 → 11

regimes89.0ms

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02124
12124

end0.0ms

sample346.0ms

Algorithm
intervals
Results
225.0ms8000×body80valid