Details

Time bar (total: 4.3s)

sample20.0ms

Algorithm
intervals
Results
6.0ms52×body1280valid
3.0ms35×body640valid
3.0ms133×body80valid
1.0ms24×body320valid
0.0ms12×body160valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
094
1104
2104

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: 29.2b

Counts
2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.3b
(cbrt (+ x 1.0))
0.5b
(cbrt x)
4.0b
(- (cbrt (+ x 1.0)) (cbrt x))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
15×cbrt-prod
14×*-un-lft-identity
13×add-sqr-sqrt
5×add-cube-cbrt add-log-exp
4×difference-of-squares
3×pow1 add-exp-log add-cbrt-cube distribute-lft-out--
2×cbrt-div pow1/3 distribute-lft-out
1×sub-neg flip3-- flip3-+ diff-log flip-- flip-+
Counts
3 → 44
Calls
3 calls:
3.0ms
(cbrt (+ x 1.0))
1.0ms
(cbrt x)
8.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

series437.0ms

Counts
3 → 9
Calls
3 calls:
100.0ms
(cbrt (+ x 1.0))
181.0ms
(cbrt x)
156.0ms
(- (cbrt (+ x 1.0)) (cbrt x))

simplify169.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0287358
1934344
24839322
35001322

prune146.0ms

Filtered
53 candidates to 45 candidates (84.9%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New421153
Fresh000
Picked101
Done000
Total431154

Merged error: 12.4b

Counts
54 → 11

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt x)
0.5b
(cbrt x)
0.5b
(cbrt x)
3.9b
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×add-log-exp
4×pow1 add-exp-log add-cbrt-cube
3×pow1/3
1×sub-neg flip3-- diff-log flip-- difference-of-squares
Counts
4 → 46
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
11.0ms
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))

series735.0ms

Counts
4 → 12
Calls
4 calls:
180.0ms
(cbrt x)
181.0ms
(cbrt x)
186.0ms
(cbrt x)
187.0ms
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))

simplify139.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0243356
1829292
24198276
35001276

prune177.0ms

Filtered
58 candidates to 50 candidates (86.2%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New54458
Fresh3710
Picked101
Done000
Total581169

Merged error: 12.3b

Counts
69 → 11

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt x)
3.9b
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))
3.9b
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))
3.9b
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log add-cbrt-cube
3×cbrt-prod sub-neg flip3-- diff-log flip-- difference-of-squares
1×pow1/3
Counts
4 → 50
Calls
4 calls:
1.0ms
(cbrt x)
11.0ms
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))
11.0ms
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))
11.0ms
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))

series724.0ms

Counts
4 → 12
Calls
4 calls:
178.0ms
(cbrt x)
179.0ms
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))
178.0ms
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))
188.0ms
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))

simplify141.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0243756
1829604
24198556
35001556

prune254.0ms

Filtered
62 candidates to 54 candidates (87.1%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New60262
Fresh01010
Picked101
Done000
Total611273

Merged error: 12.3b

Counts
73 → 12

localize22.0ms

Local error

Found 4 expressions with local error:

3.9b
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))
3.9b
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))
3.9b
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))
3.9b
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
12×add-log-exp
4×pow1 add-exp-log add-sqr-sqrt add-cube-cbrt sub-neg flip3-- *-un-lft-identity diff-log add-cbrt-cube flip-- difference-of-squares
Counts
4 → 52
Calls
4 calls:
11.0ms
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))
15.0ms
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))
11.0ms
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))
11.0ms
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))

series720.0ms

Counts
4 → 12
Calls
4 calls:
181.0ms
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))
179.0ms
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))
178.0ms
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))
181.0ms
(- (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt x) (cbrt x)))

simplify108.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (23.0ms)

IterNodesCost
0218956
1694788
23295712
35001712

prune275.0ms

Filtered
64 candidates to 56 candidates (87.5%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New63164
Fresh01111
Picked101
Done000
Total641276

Merged error: 12.3b

Counts
76 → 12

regimes68.0ms

bsearch2.0ms

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