Details

Time bar (total: 2.3s)

analyze387.0ms

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
0%99.9%0.1%6
14%85.8%0.1%7
22.6%77.2%0.1%8
23.8%74.5%1.7%9
40%56.4%3.7%10
46.9%48.7%4.4%11
48%45.8%6.2%12
58.1%32.2%9.7%13
62.1%27.2%10.6%14

sample18.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
1.0ms25×body80invalid

simplify62.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (60.0ms)

IterNodesCost
049309
149309

prune9.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 2

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ y 1.0) z)
0.0b
(- (* x (/ (+ y 1.0) z)) x)
2.8b
(* x (/ (+ y 1.0) z))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
35×*-un-lft-identity
26×add-sqr-sqrt
25×times-frac
21×add-cube-cbrt
16×associate-*r*
10×add-exp-log add-cbrt-cube
7×distribute-lft-out
5×pow1 add-log-exp
4×associate-/l*
3×associate-*l* associate-/r*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×sub-neg flip3-- frac-2neg flip3-+ diff-log associate-*r/ pow-prod-down clear-num *-commutative flip-- flip-+
Counts
3 → 79
Calls
3 calls:
5.0ms
(/ (+ y 1.0) z)
6.0ms
(- (* x (/ (+ y 1.0) z)) x)
8.0ms
(* x (/ (+ y 1.0) z))

series21.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(/ (+ y 1.0) z)
9.0ms
(- (* x (/ (+ y 1.0) z)) x)
8.0ms
(* x (/ (+ y 1.0) z))

simplify57.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
05158804

prune100.0ms

Filtered
59 candidates to 88 candidates (-49.2%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New85388
Fresh011
Picked011
Done000
Total85590

Merged error: 0b

Counts
90 → 5

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
0.8b
(* x (* (cbrt (+ y 1.0)) (/ (cbrt (+ y 1.0)) (* (cbrt z) (cbrt z)))))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
18×add-exp-log
11×add-cbrt-cube
9×pow1 cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity prod-exp cbrt-unprod
6×associate-*r/
4×cbrt-div add-log-exp
3×pow1/3 associate-*l* pow-prod-down
2×cbrt-undiv frac-times flip3-+ div-exp associate-*l/ flip-+
1×associate-*r* *-commutative
Counts
4 → 60
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
14.0ms
(* x (* (cbrt (+ y 1.0)) (/ (cbrt (+ y 1.0)) (* (cbrt z) (cbrt z)))))

series113.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt z)
22.0ms
(cbrt z)
24.0ms
(cbrt z)
45.0ms
(* x (* (cbrt (+ y 1.0)) (/ (cbrt (+ y 1.0)) (* (cbrt z) (cbrt z)))))

simplify61.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
05038666

prune118.0ms

Filtered
51 candidates to 72 candidates (-41.2%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New72072
Fresh033
Picked011
Done011
Total72577

Merged error: 0b

Counts
77 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
2.8b
(* (/ x (* (cbrt z) (cbrt z))) (/ (+ y 1.0) (cbrt z)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
40×add-sqr-sqrt
36×*-un-lft-identity
34×times-frac
28×associate-*r*
25×add-exp-log
24×add-cube-cbrt
23×cbrt-prod
18×add-cbrt-cube
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp associate-*l*
6×pow1 distribute-lft-out unswap-sqr
4×add-log-exp
3×pow1/3
2×div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 98
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
16.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ (+ y 1.0) (cbrt z)))

series81.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt z)
23.0ms
(cbrt z)
22.0ms
(cbrt z)
14.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ (+ y 1.0) (cbrt z)))

simplify75.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 0 (66.0ms)

IterNodesCost
04941995
14941995

prune109.0ms

Filtered
73 candidates to 110 candidates (-50.7%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1100110
Fresh022
Picked011
Done022
Total1105115

Merged error: 0b

Counts
115 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (+ y 1.0))
0.3b
(cbrt (+ y 1.0))
0.3b
(cbrt (+ y 1.0))
2.8b
(* x (* (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))) (/ (cbrt (+ y 1.0)) z)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
30×cbrt-div
22×add-exp-log associate-*r/
16×frac-times add-cbrt-cube
15×flip3-+ flip-+
14×*-un-lft-identity
13×pow1
12×cbrt-prod associate-*l/
11×prod-exp cbrt-unprod
8×add-sqr-sqrt add-cube-cbrt
6×pow-prod-down
4×add-log-exp
3×pow1/3 associate-*l* distribute-lft-out
2×cbrt-undiv div-exp
1×associate-*r* *-commutative
Counts
4 → 84
Calls
4 calls:
3.0ms
(cbrt (+ y 1.0))
3.0ms
(cbrt (+ y 1.0))
3.0ms
(cbrt (+ y 1.0))
19.0ms
(* x (* (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))) (/ (cbrt (+ y 1.0)) z)))

series28.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(cbrt (+ y 1.0))
6.0ms
(cbrt (+ y 1.0))
6.0ms
(cbrt (+ y 1.0))
10.0ms
(* x (* (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0))) (/ (cbrt (+ y 1.0)) z)))

simplify35.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 0 (26.0ms)

IterNodesCost
053431074

prune154.0ms

Filtered
69 candidates to 96 candidates (-39.1%)
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New96096
Fresh011
Picked011
Done033
Total965101

Merged error: 0b

Counts
101 → 5

regimes234.0ms

Accuracy

93% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 1.2b

bsearch27.0ms

Steps
ItersRangePoint
10
3.8726404197986723e-44
4.159032348440561e-33
3.883515823559066e-33
7
-115151318903.33154
-519568795.9093887
-1131976122.9438014

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04327
14327

end0.0ms

sample434.0ms

Algorithm
intervals
Results
234.0ms8000×body80valid
31.0ms1028×body80invalid

Profiling

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