Details

Time bar (total: 6.0s)

sample2.0s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 2.349854%

Guaranteed chance to sample good point: 57.166073%

Results
12.0ms256×body80valid
1.0ms18×body80invalid

simplify49.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0144
1294
2544
3774
41044
51254
61344
71444
81454
91494
101534
112484
122864
133084
143944
154634
165214
176154
186914
197004
207004

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 13.1b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
12.4b
(/ (* x (- y z)) (- t z))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
12×*-un-lft-identity
9×add-exp-log add-cbrt-cube
6×add-cube-cbrt
5×times-frac associate-*r* associate-/r*
4×pow1 associate-*r/
3×flip3-- associate-*l* flip-- distribute-lft-out-- difference-of-squares
2×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/ add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 55
Calls
2 calls:
6.0ms
(* x (- y z))
8.0ms
(/ (* x (- y z)) (- t z))

series22.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(* x (- y z))
15.0ms
(/ (* x (- y z)) (- t z))

simplify34.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0264276
11209239
25001239

prune75.0ms

Filtered
40 candidates to 61 candidates (-52.5%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New54761
Fresh000
Picked011
Done000
Total54862

Merged error: 0.0b

Counts
62 → 8

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- t z) (- y z))
2.0b
(/ x (/ (- t z) (- y z)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac
194×add-sqr-sqrt *-un-lft-identity
90×add-cube-cbrt
52×distribute-lft-out-- difference-of-squares
36×associate-/r*
11×associate-/r/
9×add-exp-log add-cbrt-cube
8×associate-/l*
6×flip3-- flip-- div-inv
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num associate-/l/ add-log-exp
1×div-sub
Counts
2 → 194
Calls
2 calls:
7.0ms
(/ (- t z) (- y z))
11.0ms
(/ x (/ (- t z) (- y z)))

series36.0ms

Counts
2 → 6
Calls
2 calls:
12.0ms
(/ (- t z) (- y z))
24.0ms
(/ x (/ (- t z) (- y z)))

simplify69.0ms

Algorithm
egg-herbie
Counts
200 → 200
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
06331784
128631733
250011730

prune138.0ms

Filtered
133 candidates to 200 candidates (-50.4%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1973200
Fresh516
Picked011
Done101
Total2035208

Merged error: 0b

Counts
208 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- t z))
0.6b
(cbrt (- t z))
0.6b
(cbrt (- t z))
7.7b
(* (/ 1 (* (cbrt (- t z)) (cbrt (- t z)))) (/ x (/ (cbrt (- t z)) (- y z))))

rewrite92.0ms

Algorithm
rewrite-expression-head
Rules
284×times-frac
232×add-sqr-sqrt
201×*-un-lft-identity
143×associate-*r*
113×add-cube-cbrt
93×cbrt-prod
82×add-exp-log
42×distribute-lft-out-- difference-of-squares
33×div-exp
31×add-cbrt-cube
30×prod-exp
18×cbrt-div
15×cbrt-undiv associate-*l* associate-/r/
12×flip3-- flip-- cbrt-unprod unswap-sqr
6×pow1 rec-exp 1-exp
5×frac-times div-inv
4×add-log-exp
3×pow1/3 associate-*r/ associate-*l/
1×pow-prod-down *-commutative
Counts
4 → 257
Calls
4 calls:
3.0ms
(cbrt (- t z))
3.0ms
(cbrt (- t z))
3.0ms
(cbrt (- t z))
66.0ms
(* (/ 1 (* (cbrt (- t z)) (cbrt (- t z)))) (/ x (/ (cbrt (- t z)) (- y z))))

series105.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(cbrt (- t z))
24.0ms
(cbrt (- t z))
29.0ms
(cbrt (- t z))
26.0ms
(* (/ 1 (* (cbrt (- t z)) (cbrt (- t z)))) (/ x (/ (cbrt (- t z)) (- y z))))

simplify59.0ms

Algorithm
egg-herbie
Counts
269 → 269
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
014443556
150013256

prune227.0ms

Filtered
192 candidates to 269 candidates (-40.1%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New2690269
Fresh033
Picked011
Done011
Total2695274

Merged error: 0b

Counts
274 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (- t z))
10.9b
(* (/ x (- t z)) (- y z))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
38×*-un-lft-identity
31×times-frac
22×add-cube-cbrt
21×associate-*l*
9×add-exp-log add-cbrt-cube
8×distribute-lft-out-- difference-of-squares
5×associate-*r* associate-/r*
4×pow1 flip3-- associate-/r/ flip--
3×associate-/l*
2×cbrt-undiv distribute-rgt-in frac-times sub-neg distribute-lft-in associate-*r/ div-exp prod-exp cbrt-unprod div-inv add-log-exp unswap-sqr
1×frac-2neg pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 87
Calls
2 calls:
5.0ms
(/ x (- t z))
11.0ms
(* (/ x (- t z)) (- y z))

series216.0ms

Counts
2 → 6
Calls
2 calls:
191.0ms
(/ x (- t z))
24.0ms
(* (/ x (- t z)) (- y z))

simplify44.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0341501
11401463
25001463

prune69.0ms

Filtered
67 candidates to 93 candidates (-38.8%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New93093
Fresh022
Picked011
Done022
Total93598

Merged error: 0b

Counts
98 → 5

regimes224.0ms

Accuracy

0% (2.2b remaining)

Error of 2.2b against oracle of 0.0b and baseline of 2.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
084

end0.0ms

sample2.5s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 2.349854%

Guaranteed chance to sample good point: 57.166073%

Results
259.0ms8000×body80valid
16.0ms542×body80invalid

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