Details

Time bar (total: 2.1s)

sample11.0ms

Algorithm
intervals
Results
4.0ms256×body80valid

simplify2.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0105
1105

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b
(- x (/ 1.0 3.0))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
3×*-un-lft-identity add-log-exp
2×difference-of-squares
1×pow1 add-exp-log add-cube-cbrt sub-neg flip3-- times-frac diff-log add-cbrt-cube flip-- distribute-lft-out--
Counts
1 → 15
Calls
1 calls:
7.0ms
(- x (/ 1.0 3.0))

series3.0ms

Counts
1 → 3
Calls
1 calls:
3.0ms
(- x (/ 1.0 3.0))

simplify32.0ms

Algorithm
egg-herbie
Counts
18 → 18
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
05272146

prune31.0ms

Filtered
13 candidates to 18 candidates (-38.5%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New16218
Fresh000
Picked011
Done000
Total16319

Merged error: 0.0b

Counts
19 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (- x (/ 1.0 3.0)))
0.3b
(cbrt (- x (/ 1.0 3.0)))
0.3b
(cbrt (- x (/ 1.0 3.0)))
0.7b
(* (cbrt (- x (/ 1.0 3.0))) (cbrt (- x (/ 1.0 3.0))))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
58×add-sqr-sqrt
50×cbrt-prod
35×*-un-lft-identity
18×cbrt-div
15×add-cube-cbrt
14×difference-of-squares
11×pow1 swap-sqr
9×flip3-- pow1/3 associate-*r* associate-*l* flip-- distribute-lft-out--
7×times-frac
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 107
Calls
4 calls:
7.0ms
(cbrt (- x (/ 1.0 3.0)))
7.0ms
(cbrt (- x (/ 1.0 3.0)))
7.0ms
(cbrt (- x (/ 1.0 3.0)))
19.0ms
(* (cbrt (- x (/ 1.0 3.0))) (cbrt (- x (/ 1.0 3.0))))

series41.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(cbrt (- x (/ 1.0 3.0)))
9.0ms
(cbrt (- x (/ 1.0 3.0)))
9.0ms
(cbrt (- x (/ 1.0 3.0)))
14.0ms
(* (cbrt (- x (/ 1.0 3.0))) (cbrt (- x (/ 1.0 3.0))))

simplify55.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
049781626
149781626

prune272.0ms

Filtered
87 candidates to 119 candidates (-36.8%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1181119
Fresh011
Picked011
Done011
Total1184122

Merged error: 0.0b

Counts
122 → 4

localize18.0ms

Local error

Found 4 expressions with local error:

0.7b
(* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0))))
8.8b
(/ (* (cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))) (cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))) (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0)))))
15.2b
(cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))
15.2b
(cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
40×cbrt-div
32×cbrt-prod
28×*-un-lft-identity
22×add-sqr-sqrt
18×add-exp-log
14×add-cube-cbrt
12×frac-times flip3-+ flip-+
11×pow1
9×swap-sqr
8×flip3-- pow1/3 associate-/r/ add-cbrt-cube flip-- associate-/l/
7×associate-*r* associate-*l*
6×associate-*r/ associate-*l/ distribute-lft-out
5×prod-exp cbrt-unprod
4×cbrt-undiv div-exp add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up difference-of-squares
1×pow2 frac-2neg times-frac pow-plus clear-num associate-/r* *-commutative div-inv associate-/l*
Counts
4 → 118
Calls
4 calls:
17.0ms
(* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0))))
32.0ms
(/ (* (cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))) (cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))) (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0)))))
4.0ms
(cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))
4.0ms
(cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))

series46.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0))))
10.0ms
(/ (* (cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0)))) (cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))) (* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0)))))
14.0ms
(cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))
14.0ms
(cbrt (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))))

simplify49.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
051342456

prune493.0ms

Filtered
99 candidates to 130 candidates (-31.3%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1282130
Fresh011
Picked011
Done112
Total1295134

Merged error: 0b

Counts
134 → 5

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (+ x (/ 1.0 3.0)))
0.3b
(cbrt (- x (/ 1.0 3.0)))
14.7b
(/ (- (* x x) (pow (/ 1.0 3.0) 2)) (* (cbrt (- (* x x) (pow (/ 1.0 3.0) 2))) (cbrt (+ x (/ 1.0 3.0)))))
15.2b
(cbrt (- (* x x) (pow (/ 1.0 3.0) 2)))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
18×cbrt-prod cbrt-div
17×difference-of-squares
13×*-un-lft-identity
12×times-frac
9×add-exp-log add-cube-cbrt
8×associate-/r/ associate-/l*
7×add-cbrt-cube
6×unpow-prod-down flip3-- flip--
4×pow1 frac-times flip3-+ flip-+ add-log-exp
3×pow1/3 unpow2 sqr-pow
2×cbrt-undiv associate-*r/ div-exp associate-*l/ associate-/l/
1×frac-2neg div-sub prod-exp clear-num associate-/r* cbrt-unprod div-inv distribute-lft-out distribute-lft-out--
Counts
4 → 90
Calls
4 calls:
6.0ms
(cbrt (+ x (/ 1.0 3.0)))
6.0ms
(cbrt (- x (/ 1.0 3.0)))
31.0ms
(/ (- (* x x) (pow (/ 1.0 3.0) 2)) (* (cbrt (- (* x x) (pow (/ 1.0 3.0) 2))) (cbrt (+ x (/ 1.0 3.0)))))
12.0ms
(cbrt (- (* x x) (pow (/ 1.0 3.0) 2)))

series40.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(cbrt (+ x (/ 1.0 3.0)))
9.0ms
(cbrt (- x (/ 1.0 3.0)))
10.0ms
(/ (- (* x x) (pow (/ 1.0 3.0) 2)) (* (cbrt (- (* x x) (pow (/ 1.0 3.0) 2))) (cbrt (+ x (/ 1.0 3.0)))))
14.0ms
(cbrt (- (* x x) (pow (/ 1.0 3.0) 2)))

simplify34.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 0 (18.0ms)

IterNodesCost
051602231

prune420.0ms

Filtered
87 candidates to 102 candidates (-17.2%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1020102
Fresh022
Picked011
Done022
Total1025107

Merged error: 0b

Counts
107 → 5

regimes82.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055
155

end0.0ms

sample288.0ms

Algorithm
intervals
Results
143.0ms8000×body80valid

Profiling

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