Details

Time bar (total: 2.1s)

analyze288.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
6.2%93.6%0.1%6
15.6%84.3%0.1%7
29.6%70.2%0.1%8
33.5%63.2%3.3%9
43.3%49.5%7.2%10
52.1%39.2%8.7%11
54.5%34.2%11.3%12
60.6%25.6%13.8%13
65.2%20.4%14.4%14

sample29.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify13.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (12.0ms)

IterNodesCost
03459
13459

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

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- 1.0 x) z)
0.0b
(+ (* x y) (* (- 1.0 x) z))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
6×*-un-lft-identity
5×associate-*l*
4×pow1 add-exp-log add-cube-cbrt add-cbrt-cube add-log-exp
3×associate-*r*
2×associate-*l/
1×+-commutative flip3-- flip3-+ pow-prod-down prod-exp sum-log *-commutative flip-- cbrt-unprod flip-+ distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 33
Calls
2 calls:
8.0ms
(* (- 1.0 x) z)
4.0ms
(+ (* x y) (* (- 1.0 x) z))

series12.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(* (- 1.0 x) z)
7.0ms
(+ (* x y) (* (- 1.0 x) z))

simplify40.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
05197345

prune51.0ms

Filtered
26 candidates to 39 candidates (-50.0%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New36339
Fresh000
Picked011
Done000
Total36440

Merged error: 0.0b

Counts
40 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt z) (cbrt z))
0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×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 → 73
Calls
4 calls:
6.0ms
(* (cbrt z) (cbrt z))
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series89.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* (cbrt z) (cbrt z))
23.0ms
(cbrt z)
21.0ms
(cbrt z)
21.0ms
(cbrt z)

simplify45.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
05165356

prune81.0ms

Filtered
56 candidates to 85 candidates (-51.8%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New85085
Fresh022
Picked011
Done011
Total85489

Merged error: 0.0b

Counts
89 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- 1.0 x))
0.0b
(+ (* x y) (* (sqrt (- 1.0 x)) (* z (sqrt (- 1.0 x)))))
0.1b
(* z (sqrt (- 1.0 x)))
0.1b
(* (sqrt (- 1.0 x)) (* z (sqrt (- 1.0 x))))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
16×*-un-lft-identity sqrt-div sqrt-prod
12×pow1
11×add-exp-log associate-*l* add-cbrt-cube
10×add-cube-cbrt associate-*r/
9×associate-*r*
8×flip3-- flip--
6×add-log-exp
4×frac-times pow-prod-down prod-exp cbrt-unprod
3×distribute-lft-out-- difference-of-squares
2×associate-*l/ *-commutative unswap-sqr
1×+-commutative rem-sqrt-square sqrt-pow1 flip3-+ pow1/2 sum-log flip-+
Counts
4 → 85
Calls
4 calls:
3.0ms
(sqrt (- 1.0 x))
4.0ms
(+ (* x y) (* (sqrt (- 1.0 x)) (* z (sqrt (- 1.0 x)))))
7.0ms
(* z (sqrt (- 1.0 x)))
11.0ms
(* (sqrt (- 1.0 x)) (* z (sqrt (- 1.0 x))))

series24.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(sqrt (- 1.0 x))
7.0ms
(+ (* x y) (* (sqrt (- 1.0 x)) (* z (sqrt (- 1.0 x)))))
8.0ms
(* z (sqrt (- 1.0 x)))
5.0ms
(* (sqrt (- 1.0 x)) (* z (sqrt (- 1.0 x))))

simplify41.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
052171021

prune133.0ms

Filtered
70 candidates to 97 candidates (-38.6%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New97097
Fresh011
Picked011
Done022
Total974101

Merged error: 0.0b

Counts
101 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- 1.0 x) z)
0.0b
(+ (* x y) (* (- 1.0 x) z))
0.1b
(pow (+ (* x y) (* (- 1.0 x) z)) 3)
38.0b
(cbrt (pow (+ (* x y) (* (- 1.0 x) z)) 3))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
14×*-un-lft-identity
12×cbrt-prod add-cube-cbrt
7×pow1 add-exp-log add-cbrt-cube
6×unpow-prod-down cube-prod add-log-exp
5×associate-*l*
4×cube-div
3×pow-unpow flip3-+ associate-*r* flip-+
2×cube-mult cbrt-div unpow3 associate-*l/ sqr-pow
1×+-commutative pow-to-exp flip3-- pow-pow pow1/3 pow-prod-down pow-exp prod-exp sum-log *-commutative flip-- rem-cbrt-cube cbrt-unprod distribute-lft-out-- rem-cube-cbrt difference-of-squares unswap-sqr
Counts
4 → 81
Calls
4 calls:
6.0ms
(* (- 1.0 x) z)
4.0ms
(+ (* x y) (* (- 1.0 x) z))
4.0ms
(pow (+ (* x y) (* (- 1.0 x) z)) 3)
4.0ms
(cbrt (pow (+ (* x y) (* (- 1.0 x) z)) 3))

series47.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(* (- 1.0 x) z)
7.0ms
(+ (* x y) (* (- 1.0 x) z))
27.0ms
(pow (+ (* x y) (* (- 1.0 x) z)) 3)
8.0ms
(cbrt (pow (+ (* x y) (* (- 1.0 x) z)) 3))

simplify42.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
050791146

prune95.0ms

Filtered
54 candidates to 93 candidates (-72.2%)
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New92193
Fresh000
Picked011
Done033
Total92597

Merged error: 0.0b

Counts
97 → 5

regimes208.0ms

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 (1.0ms)

IterNodesCost
0219
1219

end0.0ms

sample732.0ms

Algorithm
intervals
Results
194.0ms8000×body80valid

Profiling

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