Details

Time bar (total: 3.4s)

sample224.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 73.520795%

Results
13.0ms347×body80valid

simplify138.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0144
1314
2574
3914
41174
51364
61584
72124
84214
98804
1016184
1129914
1247574
1350014

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 2.1b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (/ x y) (- z t)) t)
6.8b
(* (/ x y) (- z t))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*l*
12×*-un-lft-identity
10×add-cube-cbrt times-frac
7×add-exp-log add-cbrt-cube
5×associate-*r*
4×pow1 distribute-rgt-in sub-neg associate-+l+ distribute-lft-in add-log-exp
2×frac-times flip3-- associate-*r/ prod-exp flip-- cbrt-unprod unswap-sqr
1×cbrt-undiv +-commutative flip3-+ div-exp pow-prod-down associate-*l/ sum-log *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 57
Calls
2 calls:
8.0ms
(+ (* (/ x y) (- z t)) t)
9.0ms
(* (/ x y) (- z t))

series25.0ms

Counts
2 → 6
Calls
2 calls:
12.0ms
(+ (* (/ x y) (- z t)) t)
13.0ms
(* (/ x y) (- z t))

simplify34.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0314342
11191302
25002302

prune91.0ms

Filtered
43 candidates to 63 candidates (-46.5%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New56763
Fresh000
Picked011
Done000
Total56864

Merged error: 0.0b

Counts
64 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- z t))
0.5b
(cbrt (- z t))
2.2b
(* (* (/ x y) (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t)))
4.8b
(* (/ x y) (* (cbrt (- z t)) (cbrt (- z t))))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
136×cbrt-div
98×frac-times
68×flip3-- flip--
50×associate-*r/
37×associate-*l/
34×add-exp-log
24×add-sqr-sqrt
21×*-un-lft-identity add-cbrt-cube
18×pow1
17×prod-exp cbrt-unprod
15×cbrt-prod add-cube-cbrt
14×associate-*l*
10×times-frac
9×associate-*r* pow-prod-down
4×cbrt-undiv div-exp add-log-exp
3×distribute-lft-out-- difference-of-squares
2×pow1/3 *-commutative unswap-sqr
1×div-inv
Counts
4 → 164
Calls
4 calls:
3.0ms
(cbrt (- z t))
3.0ms
(cbrt (- z t))
24.0ms
(* (* (/ x y) (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t)))
15.0ms
(* (/ x y) (* (cbrt (- z t)) (cbrt (- z t))))

series104.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(cbrt (- z t))
30.0ms
(cbrt (- z t))
13.0ms
(* (* (/ x y) (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t)))
33.0ms
(* (/ x y) (* (cbrt (- z t)) (cbrt (- z t))))

simplify74.0ms

Algorithm
egg-herbie
Counts
176 → 176
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
08442320
125722105
250012035

prune188.0ms

Filtered
104 candidates to 176 candidates (-69.2%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1742176
Fresh156
Picked011
Done011
Total1759184

Merged error: 0b

Counts
184 → 9

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.8b
(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) (* (cbrt (- z t)) (cbrt (- z t)))))
2.2b
(* (* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) (* (cbrt (- z t)) (cbrt (- z t))))) (cbrt (- z t)))

rewrite107.0ms

Algorithm
rewrite-expression-head
Rules
291×add-exp-log
266×frac-times
264×cbrt-div
176×prod-exp cbrt-unprod
166×associate-*r/
132×flip3-- flip--
105×add-cbrt-cube
79×associate-*l/
60×cbrt-undiv div-exp
27×pow1
16×pow-prod-down
11×cbrt-prod add-sqr-sqrt *-un-lft-identity
9×add-cube-cbrt associate-*r*
6×associate-*l*
4×add-log-exp
2×pow1/3 *-commutative
1×times-frac div-inv distribute-lft-out-- difference-of-squares
Counts
4 → 304
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
31.0ms
(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) (* (cbrt (- z t)) (cbrt (- z t)))))
43.0ms
(* (* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) (* (cbrt (- z t)) (cbrt (- z t))))) (cbrt (- z t)))

series99.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(cbrt x)
27.0ms
(cbrt x)
33.0ms
(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) (* (cbrt (- z t)) (cbrt (- z t)))))
15.0ms
(* (* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) (* (cbrt (- z t)) (cbrt (- z t))))) (cbrt (- z t)))

simplify85.0ms

Algorithm
egg-herbie
Counts
316 → 316
Iterations

Useful iterations: 1 (31.0ms)

IterNodesCost
016977824
150025955

prune410.0ms

Filtered
194 candidates to 316 candidates (-62.9%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New3160316
Fresh066
Picked011
Done022
Total3169325

Merged error: 0b

Counts
325 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

5.6b
(cbrt (* (/ x y) (- z t)))
6.8b
(* (/ x y) (- z t))
6.8b
(* (/ x y) (- z t))
6.8b
(* (/ x y) (- z t))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
49×add-sqr-sqrt
39×associate-*l*
34×*-un-lft-identity
30×times-frac
28×add-cube-cbrt
19×add-exp-log add-cbrt-cube
15×associate-*r*
10×pow1
8×frac-times flip3-- associate-*r/ flip--
6×distribute-rgt-in sub-neg distribute-lft-in prod-exp cbrt-unprod unswap-sqr
5×cbrt-div
4×associate-*l/ add-log-exp
3×cbrt-undiv div-exp pow-prod-down *-commutative div-inv distribute-lft-out-- difference-of-squares
1×cbrt-prod pow1/3
Counts
4 → 140
Calls
4 calls:
6.0ms
(cbrt (* (/ x y) (- z t)))
9.0ms
(* (/ x y) (- z t))
9.0ms
(* (/ x y) (- z t))
10.0ms
(* (/ x y) (- z t))

series75.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(cbrt (* (/ x y) (- z t)))
13.0ms
(* (/ x y) (- z t))
13.0ms
(* (/ x y) (- z t))
15.0ms
(* (/ x y) (- z t))

simplify38.0ms

Algorithm
egg-herbie
Counts
152 → 152
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0342815
11257722
25002719

prune136.0ms

Filtered
109 candidates to 152 candidates (-39.4%)
Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New1520152
Fresh055
Picked011
Done033
Total1529161

Merged error: 0b

Counts
161 → 9

regimes499.0ms

Accuracy

0% (1.3b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02121
12121

end0.0ms

sample925.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 73.520795%

Results
340.0ms10720×body80valid

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