Details

Time bar (total: 2.1s)

analyze338.0ms

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
21.8%78%0.1%6
26.5%73.3%0.1%7
32%67.9%0.1%8
46.4%52.7%0.9%9
50.9%47.2%1.9%10
54.3%43.3%2.4%11
62.1%32.5%5.4%12
64.3%28.1%7.6%13
66.3%24.6%9.2%14

sample21.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
2.0ms42×body80invalid

simplify33.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
076610
176610

prune10.0ms

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: 0.1b

Counts
2 → 2

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ x 4.0) y)
0.0b
(- (/ (+ x 4.0) y) (* (/ x y) z))
3.5b
(* (/ x y) z)

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
28×*-un-lft-identity
25×add-sqr-sqrt
22×times-frac
20×add-cube-cbrt
13×associate-*l*
10×add-exp-log add-cbrt-cube
5×pow1 add-log-exp
4×distribute-lft-out associate-/l*
3×associate-*r* 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 pow-prod-down clear-num *-commutative frac-sub flip-- flip-+ sub-div
Counts
3 → 78
Calls
3 calls:
5.0ms
(/ (+ x 4.0) y)
9.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
9.0ms
(* (/ x y) z)

series20.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(/ (+ x 4.0) y)
10.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
6.0ms
(* (/ x y) z)

simplify65.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
04945779
14945779

prune124.0ms

Filtered
62 candidates to 87 candidates (-40.3%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New80787
Fresh011
Picked101
Done000
Total81889

Merged error: 0.0b

Counts
89 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
3.3b
(* (/ x y) (* (cbrt z) (cbrt z)))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
16×add-exp-log
14×add-cube-cbrt *-un-lft-identity
13×associate-*l*
12×add-cbrt-cube
10×times-frac
9×pow1 cbrt-prod
6×prod-exp cbrt-unprod
4×add-log-exp
3×pow1/3 pow-prod-down
2×cbrt-undiv div-exp unswap-sqr
1×associate-*r* associate-*l/ *-commutative div-inv
Counts
4 → 68
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
9.0ms
(* (/ x y) (* (cbrt z) (cbrt z)))

series95.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt z)
24.0ms
(cbrt z)
21.0ms
(cbrt z)
29.0ms
(* (/ x y) (* (cbrt z) (cbrt z)))

simplify39.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
05168468

prune109.0ms

Filtered
58 candidates to 80 candidates (-37.9%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New80080
Fresh077
Picked011
Done000
Total80888

Merged error: 0.0b

Counts
88 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(* (cbrt y) (cbrt y))
3.5b
(* (/ x y) z)

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
35×add-sqr-sqrt
22×cbrt-prod add-cube-cbrt *-un-lft-identity
19×associate-*l*
13×pow1
11×add-exp-log
10×times-frac
9×associate-*r* add-cbrt-cube
8×pow1/3
6×swap-sqr unswap-sqr
4×add-log-exp
3×pow-prod-down prod-exp cbrt-unprod
2×pow-sqr *-commutative pow-prod-up
1×cbrt-undiv pow2 pow-plus div-exp associate-*l/ div-inv
Counts
4 → 94
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
5.0ms
(* (cbrt y) (cbrt y))
6.0ms
(* (/ x y) z)

series73.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt y)
21.0ms
(cbrt y)
26.0ms
(* (cbrt y) (cbrt y))
5.0ms
(* (/ x y) z)

simplify49.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
05009532

prune127.0ms

Filtered
73 candidates to 106 candidates (-45.2%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1060106
Fresh066
Picked011
Done011
Total1068114

Merged error: 0.0b

Counts
114 → 8

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ x 4.0) y)
0.0b
(- (/ (+ x 4.0) y) (* x (/ z y)))
3.9b
(* x (/ z y))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
28×*-un-lft-identity
25×add-sqr-sqrt
22×times-frac
20×add-cube-cbrt
13×associate-*r*
10×add-exp-log add-cbrt-cube
5×pow1 add-log-exp
4×distribute-lft-out associate-/l*
3×associate-*r/ 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 pow-prod-down clear-num *-commutative frac-sub flip-- flip-+ sub-div
Counts
3 → 78
Calls
3 calls:
5.0ms
(/ (+ x 4.0) y)
9.0ms
(- (/ (+ x 4.0) y) (* x (/ z y)))
6.0ms
(* x (/ z y))

series19.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(/ (+ x 4.0) y)
9.0ms
(- (/ (+ x 4.0) y) (* x (/ z y)))
5.0ms
(* x (/ z y))

simplify43.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
05126791

prune90.0ms

Filtered
61 candidates to 87 candidates (-42.6%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New84387
Fresh235
Picked011
Done022
Total86995

Merged error: 0b

Counts
95 → 9

regimes206.0ms

Accuracy

91.3% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 1.9b

bsearch31.0ms

Steps
ItersRangePoint
8
5.063467878842329e-73
1.6439090863100638e-69
6.341739807671227e-72
7
-1.1866391982565383e+27
-1.1685660899492397e+25
-5.149022378476186e+25

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
07331
17331

end0.0ms

sample528.0ms

Algorithm
intervals
Results
301.0ms8000×body80valid
42.0ms1174×body80invalid

Profiling

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