Details

Time bar (total: 12.6s)

sample20.0ms

Algorithm
intervals
Results
10.0ms325×body80valid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0166
1296
2386
3456
4516
5546
6546

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: 1.9b

Counts
2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ (+ x 4.0) y) (* (/ x y) z))
0.0b
(/ (+ x 4.0) y)
4.0b
(* (/ x y) z)

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
124×associate-*l/
117×*-un-lft-identity
108×frac-sub
96×add-sqr-sqrt
79×associate-/l*
77×associate-/r*
70×add-cube-cbrt
39×times-frac
25×frac-2neg
23×clear-num
20×associate-*l* associate-/l/
16×distribute-lft-out
10×add-exp-log flip3-+ add-cbrt-cube flip-+
8×distribute-lft-out--
7×sub-div
6×difference-of-squares unswap-sqr
5×pow1 add-log-exp
3×associate-*r*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv
1×sub-neg flip3-- diff-log pow-prod-down *-commutative flip--
Counts
3 → 214
Calls
3 calls:
34.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
5.0ms
(/ (+ x 4.0) y)
7.0ms
(* (/ x y) z)

series91.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
30.0ms
(/ (+ x 4.0) y)
20.0ms
(* (/ x y) z)

simplify49.0ms

Algorithm
egg-herbie
Counts
223 → 223
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
014052139
150012069

prune570.0ms

Filtered
223 candidates to 141 candidates (63.2%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New2176223
Fresh000
Picked101
Done000
Total2186224

Merged error: 0b

Counts
224 → 6

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
0.7b
(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) z))

rewrite818.0ms

Algorithm
rewrite-expression-head
Rules
4383×add-sqr-sqrt
2749×cbrt-prod
1683×unswap-sqr
1583×times-frac
1289×associate-*l*
1041×add-cube-cbrt *-un-lft-identity
927×associate-*l/
855×frac-times
780×associate-/r* associate-/l*
732×swap-sqr
596×add-cbrt-cube
572×associate-*r*
526×cbrt-unprod
254×cbrt-undiv
196×*-commutative
74×frac-2neg clear-num
73×add-exp-log
37×prod-exp
17×div-exp
15×associate-*r/
9×pow1
4×add-log-exp
3×pow1/3 pow-prod-down
2×div-inv
Counts
4 → 2419
Calls
4 calls:
2.0ms
(cbrt x)
2.0ms
(cbrt x)
2.0ms
(cbrt x)
509.0ms
(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) z))

series554.0ms

Counts
4 → 12
Calls
4 calls:
176.0ms
(cbrt x)
176.0ms
(cbrt x)
181.0ms
(cbrt x)
21.0ms
(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) z))

simplify362.0ms

Algorithm
egg-herbie
Counts
2431 → 2431
Iterations

Useful iterations: 0 (28.0ms)

IterNodesCost
0500145467

prune6.8s

Filtered
2431 candidates to 1455 candidates (59.9%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New243012431
Fresh235
Picked011
Done000
Total243252437

Merged error: 0b

Counts
2437 → 5

localize29.0ms

Local error

Found 4 expressions with local error:

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

rewrite12.0ms

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 pow1/3 add-cbrt-cube add-log-exp unswap-sqr
1×*-commutative
Counts
4 → 71
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
2.0ms
(cbrt (cbrt x))
6.0ms
(cbrt (* (cbrt x) (cbrt x)))

series846.0ms

Counts
4 → 12
Calls
4 calls:
171.0ms
(cbrt x)
172.0ms
(cbrt x)
235.0ms
(cbrt (cbrt x))
268.0ms
(cbrt (* (cbrt x) (cbrt x)))

simplify55.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 2 (14.0ms)

IterNodesCost
0150447
1450427
22208388
35001388

prune331.0ms

Filtered
83 candidates to 64 candidates (77.1%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New83083
Fresh033
Picked011
Done011
Total83588

Merged error: 0b

Counts
88 → 5

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ (+ x 4.0) y) (/ z (/ y x)))
0.0b
(/ (+ x 4.0) y)
4.6b
(/ z (/ y x))

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
247×*-un-lft-identity
232×associate-/r*
228×frac-sub
211×add-sqr-sqrt
208×times-frac
190×add-cube-cbrt
122×associate-/l*
40×associate-/l/
34×frac-2neg clear-num
24×distribute-lft-out
20×flip3-+ flip-+
18×div-inv
10×add-exp-log add-cbrt-cube
9×associate-/r/
6×difference-of-squares
5×add-log-exp
4×cbrt-undiv div-exp
3×pow1 distribute-lft-out--
1×sub-neg flip3-- diff-log flip--
Counts
3 → 360
Calls
3 calls:
51.0ms
(- (/ (+ x 4.0) y) (/ z (/ y x)))
5.0ms
(/ (+ x 4.0) y)
7.0ms
(/ z (/ y x))

series93.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(- (/ (+ x 4.0) y) (/ z (/ y x)))
33.0ms
(/ (+ x 4.0) y)
18.0ms
(/ z (/ y x))

simplify101.0ms

Algorithm
egg-herbie
Counts
369 → 369
Iterations

Useful iterations: 1 (54.0ms)

IterNodesCost
028054712
150014671

prune1.0s

Filtered
369 candidates to 251 candidates (68.0%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New3690369
Fresh022
Picked011
Done022
Total3695374

Merged error: 0b

Counts
374 → 5

regimes76.0ms

Accuracy

0% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 0.8b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03023
13223
23223

end0.0ms

sample520.0ms

Algorithm
intervals
Results
310.0ms10118×body80valid