Details

Time bar (total: 7.8s)

sample16.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
2.0ms78×body80nan

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
084
184

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: 0.2b

Counts
2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ 1.0 (sqrt (+ x 1.0)))
0.2b
(/ x (+ 1.0 (sqrt (+ x 1.0))))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
21×*-un-lft-identity
12×times-frac
11×add-sqr-sqrt add-cube-cbrt
5×distribute-lft-out
4×add-exp-log associate-/r* add-cbrt-cube add-log-exp
3×associate-/l*
2×pow1 flip3-+ associate-/r/ flip-+
1×cbrt-undiv +-commutative frac-2neg div-exp clear-num sum-log div-inv
Counts
2 → 45
Calls
2 calls:
5.0ms
(+ 1.0 (sqrt (+ x 1.0)))
7.0ms
(/ x (+ 1.0 (sqrt (+ x 1.0))))

series185.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(+ 1.0 (sqrt (+ x 1.0)))
140.0ms
(/ x (+ 1.0 (sqrt (+ x 1.0))))

simplify35.0ms

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0278393
11058351
25002347

prune93.0ms

Filtered
51 candidates to 38 candidates (74.5%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New47451
Fresh000
Picked101
Done000
Total48452

Merged error: 0b

Counts
52 → 4

localize12.0ms

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)

rewrite11.0ms

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)

series731.0ms

Counts
4 → 12
Calls
4 calls:
201.0ms
(* (cbrt x) (cbrt x))
178.0ms
(cbrt x)
173.0ms
(cbrt x)
177.0ms
(cbrt x)

simplify89.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (84.0ms)

IterNodesCost
0115288
1472261
22959238
35003235

prune171.0ms

Filtered
85 candidates to 64 candidates (75.3%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New85085
Fresh033
Picked011
Done000
Total85489

Merged error: 0b

Counts
89 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.4b
(/ x (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0))))))
0.8b
(cbrt (+ 1.0 (sqrt (+ x 1.0))))
0.8b
(cbrt (+ 1.0 (sqrt (+ x 1.0))))
0.8b
(cbrt (+ 1.0 (sqrt (+ x 1.0))))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-div
15×*-un-lft-identity
12×cbrt-prod
9×add-exp-log add-sqr-sqrt add-cube-cbrt flip3-+ flip-+
8×associate-/r/
7×add-cbrt-cube
4×pow1 frac-times add-log-exp
3×times-frac pow1/3 distribute-lft-out associate-/l*
2×cbrt-undiv associate-*r/ div-exp associate-*l/
1×frac-2neg prod-exp clear-num associate-/r* cbrt-unprod div-inv
Counts
4 → 71
Calls
4 calls:
15.0ms
(/ x (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0))))))
5.0ms
(cbrt (+ 1.0 (sqrt (+ x 1.0))))
5.0ms
(cbrt (+ 1.0 (sqrt (+ x 1.0))))
5.0ms
(cbrt (+ 1.0 (sqrt (+ x 1.0))))

series4.9s

Counts
4 → 12
Calls
4 calls:
4.2s
(/ x (* (cbrt (+ 1.0 (sqrt (+ x 1.0)))) (cbrt (+ 1.0 (sqrt (+ x 1.0))))))
247.0ms
(cbrt (+ 1.0 (sqrt (+ x 1.0))))
250.0ms
(cbrt (+ 1.0 (sqrt (+ x 1.0))))
247.0ms
(cbrt (+ 1.0 (sqrt (+ x 1.0))))

simplify69.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
05901166
123921056
250021027

prune230.0ms

Filtered
83 candidates to 66 candidates (79.5%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New83083
Fresh022
Picked011
Done011
Total83487

Merged error: 0b

Counts
87 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 1.0 (sqrt (+ x 1.0)))
0.2b
(/ x (cbrt (pow (+ 1.0 (sqrt (+ x 1.0))) 3)))
0.2b
(pow (+ 1.0 (sqrt (+ x 1.0))) 3)
7.6b
(cbrt (pow (+ 1.0 (sqrt (+ x 1.0))) 3))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
70×cbrt-prod *-un-lft-identity
51×times-frac
44×add-sqr-sqrt add-cube-cbrt
24×unpow-prod-down cube-prod
17×associate-/r*
13×distribute-lft-out
7×add-exp-log
6×cube-div cube-mult unpow3 add-cbrt-cube add-log-exp sqr-pow
5×pow1
4×cbrt-div flip3-+ flip-+
3×pow-unpow associate-/l*
2×associate-/r/
1×cbrt-undiv +-commutative pow-to-exp pow-pow frac-2neg pow1/3 div-exp pow-exp clear-num sum-log rem-cbrt-cube div-inv rem-cube-cbrt
Counts
4 → 149
Calls
4 calls:
6.0ms
(+ 1.0 (sqrt (+ x 1.0)))
11.0ms
(/ x (cbrt (pow (+ 1.0 (sqrt (+ x 1.0))) 3)))
7.0ms
(pow (+ 1.0 (sqrt (+ x 1.0))) 3)
7.0ms
(cbrt (pow (+ 1.0 (sqrt (+ x 1.0))) 3))

series365.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(+ 1.0 (sqrt (+ x 1.0)))
149.0ms
(/ x (cbrt (pow (+ 1.0 (sqrt (+ x 1.0))) 3)))
118.0ms
(pow (+ 1.0 (sqrt (+ x 1.0))) 3)
49.0ms
(cbrt (pow (+ 1.0 (sqrt (+ x 1.0))) 3))

simplify68.0ms

Algorithm
egg-herbie
Counts
161 → 161
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
04981438
121741302
250021278

prune204.0ms

Filtered
161 candidates to 81 candidates (50.3%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1610161
Fresh011
Picked011
Done022
Total1614165

Merged error: 0b

Counts
165 → 4

regimes20.0ms

Accuracy

98.6% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 1.4b

bsearch36.0ms

Steps
ItersRangePoint
8
9024653794382782.0
2.9300307707156197e+19
9228484514852318.0

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01813
11813

end0.0ms

sample409.0ms

Algorithm
intervals
Results
216.0ms7998×body80valid
70.0ms2715×body80nan
0.0ms2×body1280valid