Details

Time bar (total: 2.5s)

sample440.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 14.733887%

Guaranteed chance to sample good point: 89.148175%

Results
6.0ms256×body80valid
1.0ms42×body80invalid

simplify126.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0153
1253
2363
3403
4463
5583
6933
71303
81633
92733
105073
1116183
1250013

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (+ z x))
0.0b
(+ x (* y (+ z x)))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt *-un-lft-identity
4×pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube add-log-exp
3×associate-*l*
2×distribute-rgt-in associate-+r+ distribute-lft-in flip3-+ associate-*r/ flip-+
1×+-commutative pow-prod-down prod-exp sum-log *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
2 → 36
Calls
2 calls:
6.0ms
(* y (+ z x))
3.0ms
(+ x (* y (+ z x)))

series13.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(* y (+ z x))
7.0ms
(+ x (* y (+ z x)))

simplify99.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0186164
1769149
23884149
35001149

prune47.0ms

Filtered
28 candidates to 42 candidates (-50.0%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New39342
Fresh000
Picked101
Done000
Total40343

Merged error: 0.0b

Counts
43 → 3

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (+ x (* z y)) (* y x))
0.0b
(+ x (* z y))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
9×add-log-exp
4×sum-log
2×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ add-cbrt-cube flip-+
1×associate-+l+
Counts
2 → 24
Calls
2 calls:
5.0ms
(+ (+ x (* z y)) (* y x))
3.0ms
(+ x (* z y))

series13.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(+ (+ x (* z y)) (* y x))
6.0ms
(+ x (* z y))

simplify70.0ms

Algorithm
egg-herbie
Counts
30 → 30
Iterations

Useful iterations: 2 (19.0ms)

IterNodesCost
0160155
1624139
22460136
35001136

prune35.0ms

Filtered
23 candidates to 30 candidates (-30.4%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New30030
Fresh022
Picked011
Done000
Total30333

Merged error: 0.0b

Counts
33 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(* y (+ z x))
0.2b
(* (* y (+ z x)) (* y (+ z x)))
4.3b
(- (* x x) (* (* y (+ z x)) (* y (+ z x))))
29.2b
(/ (- (* x x) (* (* y (+ z x)) (* y (+ z x)))) (- x (* y (+ z x))))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
45×pow1
20×add-exp-log add-cbrt-cube
18×pow-prod-down
17×add-sqr-sqrt *-un-lft-identity
16×associate-*r/
15×add-cube-cbrt
12×times-frac
9×distribute-rgt-in distribute-lft-in prod-exp cbrt-unprod
7×flip3-+ flip-+
6×add-log-exp
5×associate-*r* difference-of-squares
4×frac-times associate-*l* pow-sqr pow-prod-up associate-/l* associate--r+
3×flip3-- associate-/r* flip--
2×pow-plus associate-*l/ associate-/r/ *-commutative associate-/l/
1×cbrt-undiv pow2 sub-neg frac-2neg diff-log div-sub swap-sqr div-exp clear-num div-inv distribute-lft-out unswap-sqr
Counts
4 → 122
Calls
4 calls:
6.0ms
(* y (+ z x))
11.0ms
(* (* y (+ z x)) (* y (+ z x)))
4.0ms
(- (* x x) (* (* y (+ z x)) (* y (+ z x))))
7.0ms
(/ (- (* x x) (* (* y (+ z x)) (* y (+ z x)))) (- x (* y (+ z x))))

series81.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(* y (+ z x))
9.0ms
(* (* y (+ z x)) (* y (+ z x)))
22.0ms
(- (* x x) (* (* y (+ z x)) (* y (+ z x))))
45.0ms
(/ (- (* x x) (* (* y (+ z x)) (* y (+ z x)))) (- x (* y (+ z x))))

simplify90.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 2 (77.0ms)

IterNodesCost
05501178
130771023
250011005

prune101.0ms

Filtered
83 candidates to 134 candidates (-61.4%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1331134
Fresh011
Picked101
Done011
Total1343137

Merged error: 0b

Counts
137 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(* y (+ z x))
0.2b
(* (* y (+ z x)) (* y (+ z x)))
15.9b
(/ (* x x) (- x (* y (+ z x))))
20.3b
(/ (* (* y (+ z x)) (* y (+ z x))) (- x (* y (+ z x))))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
45×pow1
41×add-exp-log add-cbrt-cube
30×associate-*r/
18×pow-prod-down prod-exp cbrt-unprod
13×flip3-+ flip-+
12×add-sqr-sqrt *-un-lft-identity
10×add-cube-cbrt
8×frac-times associate-/l/
7×cbrt-undiv div-exp
6×times-frac associate-/r*
5×distribute-rgt-in distribute-lft-in associate-*r*
4×associate-*l* associate-*l/ associate-/r/ pow-sqr pow-prod-up add-log-exp
2×flip3-- frac-2neg pow-plus clear-num *-commutative flip-- div-inv associate-/l*
1×pow2 swap-sqr distribute-lft-out unswap-sqr
Counts
4 → 129
Calls
4 calls:
6.0ms
(* y (+ z x))
11.0ms
(* (* y (+ z x)) (* y (+ z x)))
5.0ms
(/ (* x x) (- x (* y (+ z x))))
15.0ms
(/ (* (* y (+ z x)) (* y (+ z x))) (- x (* y (+ z x))))

series50.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(* y (+ z x))
9.0ms
(* (* y (+ z x)) (* y (+ z x)))
18.0ms
(/ (* x x) (- x (* y (+ z x))))
18.0ms
(/ (* (* y (+ z x)) (* y (+ z x))) (- x (* y (+ z x))))

simplify100.0ms

Algorithm
egg-herbie
Counts
141 → 141
Iterations

Useful iterations: 2 (88.0ms)

IterNodesCost
06101028
13969867
25001861

prune99.0ms

Filtered
82 candidates to 141 candidates (-72.0%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1410141
Fresh011
Picked011
Done011
Total1413144

Merged error: 0b

Counts
144 → 3

regimes127.0ms

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
0114
1114

end0.0ms

sample911.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 14.733887%

Guaranteed chance to sample good point: 89.148175%

Results
184.0ms8000×body80valid
31.0ms1253×body80invalid

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