Details

Time bar (total: 1.5s)

analyze89.0ms

Algorithm
search
sampling

Space saved by range analysis: 0.097632%

Space saved by search: 24.682981%

Guaranteed chance to sample good point: 97.927461%

sample12.0ms

Algorithm
intervals
Results
5.0ms256×body80valid
0.0ms2×body80invalid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0103
1233
2383
3473
4473

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

0.1b
(* x (- 1.0 (* x y)))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
3×pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*r* associate-*l* add-cbrt-cube
2×distribute-rgt-in sub-neg distribute-lft-in associate-*r/
1×flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod add-log-exp unswap-sqr
Counts
1 → 24
Calls
1 calls:
6.0ms
(* x (- 1.0 (* x y)))

series9.0ms

Counts
1 → 3
Calls
1 calls:
9.0ms
(* x (- 1.0 (* x y)))

simplify84.0ms

Algorithm
egg-herbie
Counts
27 → 27
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
0122130
1534113
22890113
35001113

prune41.0ms

Filtered
16 candidates to 27 candidates (-68.8%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New21627
Fresh000
Picked011
Done000
Total21728

Merged error: 0.0b

Counts
28 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (cbrt x))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
5.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series91.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(* (cbrt x) (cbrt x))
21.0ms
(cbrt x)
22.0ms
(cbrt x)
22.0ms
(cbrt x)

simplify73.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (68.0ms)

IterNodesCost
0148349
1471322
22276265
35002252

prune81.0ms

Filtered
56 candidates to 85 candidates (-51.8%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New83285
Fresh145
Picked011
Done011
Total84892

Merged error: 0.0b

Counts
92 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
0.9b
(pow (cbrt (cbrt x)) 4)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×unpow-prod-down
5×pow1 add-exp-log
4×pow1/3 add-cbrt-cube add-log-exp
3×pow-unpow
2×pow-pow
1×pow-to-exp pow-exp sqr-pow
Counts
4 → 57
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
4.0ms
(pow (cbrt (cbrt x)) 4)

series107.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(cbrt x)
21.0ms
(cbrt x)
22.0ms
(cbrt x)
41.0ms
(pow (cbrt (cbrt x)) 4)

simplify69.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 2 (14.0ms)

IterNodesCost
0177304
1486283
21738239
35001239

prune94.0ms

Filtered
51 candidates to 69 candidates (-35.3%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New69069
Fresh055
Picked011
Done022
Total69877

Merged error: 0.0b

Counts
77 → 8

localize10.0ms

Local error

Found 3 expressions with local error:

0.2b
(* (* x y) (* x y))
0.3b
(* x (- (* 1.0 1.0) (* (* x y) (* x y))))
8.4b
(/ (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) (+ 1.0 (* x y)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
44×pow1
22×add-exp-log add-cbrt-cube
18×pow-prod-down
10×prod-exp cbrt-unprod
9×add-sqr-sqrt
7×add-cube-cbrt *-un-lft-identity
5×associate-*r*
4×associate-*r/ associate-*l* pow-sqr pow-prod-up
3×times-frac associate-/r* add-log-exp
2×cbrt-undiv distribute-rgt-in sub-neg flip3-- distribute-lft-in pow-plus div-exp associate-/r/ *-commutative flip-- associate-/l/
1×pow2 frac-2neg flip3-+ swap-sqr clear-num flip-+ div-inv associate-/l* difference-of-squares unswap-sqr
Counts
3 → 84
Calls
3 calls:
6.0ms
(* (* x y) (* x y))
6.0ms
(* x (- (* 1.0 1.0) (* (* x y) (* x y))))
9.0ms
(/ (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) (+ 1.0 (* x y)))

series34.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(* (* x y) (* x y))
13.0ms
(* x (- (* 1.0 1.0) (* (* x y) (* x y))))
15.0ms
(/ (* x (- (* 1.0 1.0) (* (* x y) (* x y)))) (+ 1.0 (* x y)))

simplify68.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0381646
12121527
25003527

prune74.0ms

Filtered
51 candidates to 93 candidates (-82.4%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New90393
Fresh224
Picked101
Done033
Total938101

Merged error: 0.0b

Counts
101 → 8

regimes146.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
083
183

end0.0ms

analyze88.0ms

Algorithm
search
sampling

Space saved by range analysis: 0.097632%

Space saved by search: 24.682981%

Guaranteed chance to sample good point: 97.927461%

sample285.0ms

Algorithm
intervals
Results
172.0ms8000×body80valid
1.0ms46×body80invalid

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