Details

Time bar (total: 2.9s)

sample18.0ms

Algorithm
intervals
Results
7.0ms347×body80valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0103
1233
2383
3473
4473

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize5.0ms

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:
5.0ms
(* x (- 1.0 (* x y)))

series6.0ms

Counts
1 → 3
Calls
1 calls:
6.0ms
(* x (- 1.0 (* x y)))

simplify88.0ms

Algorithm
egg-herbie
Counts
27 → 27
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0122130
1534113
22890113
35001113

prune46.0ms

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

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New20727
Fresh000
Picked011
Done000
Total20828

Merged error: 0.0b

Counts
28 → 8

localize8.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (- 1.0 (* x y)))
0.2b
(cbrt (- 1.0 (* x y)))
0.2b
(cbrt (- 1.0 (* x y)))
0.2b
(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-- pow1/3 flip--
6×add-exp-log swap-sqr associate-*r* associate-*l*
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 → 87
Calls
4 calls:
2.0ms
(cbrt (- 1.0 (* x y)))
2.0ms
(cbrt (- 1.0 (* x y)))
2.0ms
(cbrt (- 1.0 (* x y)))
8.0ms
(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))

series159.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(cbrt (- 1.0 (* x y)))
36.0ms
(cbrt (- 1.0 (* x y)))
37.0ms
(cbrt (- 1.0 (* x y)))
48.0ms
(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))

simplify45.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
03521100
113641049
25002988

prune225.0ms

Filtered
75 candidates to 99 candidates (-32.0%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New97299
Fresh066
Picked011
Done011
Total9710107

Merged error: 0.0b

Counts
107 → 10

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))) (cbrt (* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))))
0.2b
(cbrt (* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y)))))
0.2b
(cbrt (* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y)))))
0.2b
(cbrt (* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y)))))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
420×cbrt-div
148×frac-times
126×flip3-- flip--
50×associate-*r/ associate-*l/
12×add-sqr-sqrt
11×pow1 cbrt-prod
9×pow1/3
8×add-cube-cbrt *-un-lft-identity
6×add-exp-log
4×swap-sqr associate-*r* associate-*l* 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 → 165
Calls
4 calls:
10.0ms
(* (cbrt (* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))) (cbrt (* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))))
7.0ms
(cbrt (* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y)))))
6.0ms
(cbrt (* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y)))))
9.0ms
(cbrt (* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y)))))

series392.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(* (cbrt (* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))) (cbrt (* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))))
48.0ms
(cbrt (* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y)))))
67.0ms
(cbrt (* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y)))))
224.0ms
(cbrt (* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y)))))

simplify83.0ms

Algorithm
egg-herbie
Counts
177 → 177
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
04925075
114954940
250014819

prune541.0ms

Filtered
93 candidates to 177 candidates (-90.3%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New1770177
Fresh077
Picked011
Done022
Total17710187

Merged error: 0.0b

Counts
187 → 10

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* x (- 1.0 (* x y)))) (cbrt (* x (- 1.0 (* x y)))))
0.5b
(cbrt (* x (- 1.0 (* x y))))
0.5b
(cbrt (* x (- 1.0 (* x y))))
0.5b
(cbrt (* x (- 1.0 (* x y))))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*r/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
9×flip3-- pow1/3 flip--
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×frac-times swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 72
Calls
4 calls:
6.0ms
(* (cbrt (* x (- 1.0 (* x y)))) (cbrt (* x (- 1.0 (* x y)))))
4.0ms
(cbrt (* x (- 1.0 (* x y))))
3.0ms
(cbrt (* x (- 1.0 (* x y))))
4.0ms
(cbrt (* x (- 1.0 (* x y))))

series214.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(* (cbrt (* x (- 1.0 (* x y)))) (cbrt (* x (- 1.0 (* x y)))))
49.0ms
(cbrt (* x (- 1.0 (* x y))))
48.0ms
(cbrt (* x (- 1.0 (* x y))))
50.0ms
(cbrt (* x (- 1.0 (* x y))))

simplify53.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
04231104
116381039
25001977

prune193.0ms

Filtered
67 candidates to 84 candidates (-25.4%)
Pruning

11 alts after pruning (7 fresh and 4 done)

PrunedKeptTotal
New83184
Fresh066
Picked011
Done033
Total831194

Merged error: 0.0b

Counts
94 → 11

regimes191.0ms

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

sample470.0ms

Algorithm
intervals
Results
223.0ms10561×body80valid

Profiling

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