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

sample20.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
1.0ms52×body80invalid

simplify65.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (63.0ms)

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)
4.0b
(* x (/ (+ y 1.0) z))

rewrite24.0ms

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:
6.0ms
(/ (+ y 1.0) z)
7.0ms
(- (* x (/ (+ y 1.0) z)) x)
9.0ms
(* 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))

simplify58.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
05158804

prune113.0ms

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

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New83588
Fresh011
Picked011
Done000
Total83790

Merged error: 0.0b

Counts
90 → 7

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite20.0ms

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)
15.0ms
(* 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)
21.0ms
(cbrt z)
22.0ms
(cbrt z)
48.0ms
(* x (* (cbrt (+ y 1.0)) (/ (cbrt (+ y 1.0)) (* (cbrt z) (cbrt z)))))

simplify59.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
05038666

prune126.0ms

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

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New72072
Fresh055
Picked011
Done011
Total72779

Merged error: 0.0b

Counts
79 → 7

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))
3.3b
(* (* x (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (cbrt (+ y 1.0)) z))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
33×*-un-lft-identity
30×cbrt-div
25×add-exp-log associate-*r*
24×cbrt-prod
21×add-sqr-sqrt add-cube-cbrt times-frac associate-*r/
18×add-cbrt-cube
16×frac-times
15×flip3-+ flip-+
13×pow1
12×associate-*l/ prod-exp cbrt-unprod
6×pow-prod-down distribute-lft-out
4×add-log-exp
3×cbrt-undiv pow1/3 div-exp
1×associate-*l* *-commutative div-inv
Counts
4 → 108
Calls
4 calls:
3.0ms
(cbrt (+ y 1.0))
3.0ms
(cbrt (+ y 1.0))
3.0ms
(cbrt (+ y 1.0))
20.0ms
(* (* 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))
8.0ms
(cbrt (+ y 1.0))
6.0ms
(cbrt (+ y 1.0))
8.0ms
(* (* x (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ (cbrt (+ y 1.0)) z))

simplify87.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 0 (75.0ms)

IterNodesCost
049461504
149461504

prune197.0ms

Filtered
78 candidates to 120 candidates (-53.8%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1191120
Fresh224
Picked011
Done022
Total1216127

Merged error: 0b

Counts
127 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* (/ x z) (+ y 1.0)) x)
2.1b
(* (/ x z) (+ y 1.0))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×associate-*l*
12×*-un-lft-identity
10×add-cube-cbrt times-frac
7×add-exp-log add-cbrt-cube
4×pow1 associate-*r* add-log-exp
2×distribute-rgt-in frac-times distribute-lft-in flip3-+ associate-*r/ prod-exp associate--l+ cbrt-unprod flip-+ unswap-sqr
1×cbrt-undiv sub-neg flip3-- diff-log div-exp pow-prod-down associate-*l/ *-commutative flip-- div-inv distribute-lft-out
Counts
2 → 52
Calls
2 calls:
7.0ms
(- (* (/ x z) (+ y 1.0)) x)
10.0ms
(* (/ x z) (+ y 1.0))

series17.0ms

Counts
2 → 6
Calls
2 calls:
8.0ms
(- (* (/ x z) (+ y 1.0)) x)
9.0ms
(* (/ x z) (+ y 1.0))

simplify35.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
05143574

prune57.0ms

Filtered
43 candidates to 58 candidates (-34.9%)
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New58058
Fresh022
Picked011
Done033
Total58664

Merged error: 0b

Counts
64 → 6

regimes257.0ms

Accuracy

87.3% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 1.7b

bsearch26.0ms

Steps
ItersRangePoint
9
3.0346335510170502e-146
4.838825104238381e-141
7.274545131975547e-145
7
-1.2089559904549546e-83
-6.76762141452172e-85
-1.8104924256738275e-84

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04327
14327

end0.0ms

sample501.0ms

Algorithm
intervals
Results
257.0ms8000×body80valid
37.0ms1045×body80invalid

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