Details

Time bar (total: 3.1s)

analyze343.0ms

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

sample20.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
1.0ms33×body80invalid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02212
12212

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

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ x 4.0) y)
0.0b
(- (/ (+ x 4.0) y) (* (/ x y) z))
2.9b
(* (/ x y) z)

rewrite22.0ms

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)
8.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
6.0ms
(* (/ x y) z)

series23.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(/ (+ x 4.0) y)
13.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
5.0ms
(* (/ x y) z)

simplify38.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
05115777

prune130.0ms

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

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New79887
Fresh011
Picked101
Done000
Total80989

Merged error: 0b

Counts
89 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (/ x y)) (cbrt (/ x y)))
7.8b
(cbrt (/ x y))
7.8b
(cbrt (/ x y))
7.8b
(cbrt (/ x y))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
103×cbrt-prod
81×add-sqr-sqrt
69×times-frac
57×add-cube-cbrt *-un-lft-identity
16×swap-sqr associate-*r* associate-*l*
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div div-inv
6×add-exp-log
4×add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 144
Calls
4 calls:
14.0ms
(* (cbrt (/ x y)) (cbrt (/ x y)))
2.0ms
(cbrt (/ x y))
2.0ms
(cbrt (/ x y))
2.0ms
(cbrt (/ x y))

series57.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* (cbrt (/ x y)) (cbrt (/ x y)))
12.0ms
(cbrt (/ x y))
12.0ms
(cbrt (/ x y))
14.0ms
(cbrt (/ x y))

simplify64.0ms

Algorithm
egg-herbie
Counts
156 → 156
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
051241472

prune200.0ms

Filtered
118 candidates to 156 candidates (-32.2%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1560156
Fresh088
Picked011
Done000
Total1569165

Merged error: 0b

Counts
165 → 9

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
4.3b
(* (/ 1 (* (cbrt y) (cbrt y))) (* z (/ x (cbrt y))))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
82×add-exp-log
44×prod-exp
31×add-cbrt-cube
19×div-exp
18×cbrt-unprod
9×pow1 cbrt-undiv cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity
7×associate-*l*
6×rec-exp 1-exp
4×add-log-exp
3×times-frac pow1/3 associate-*r/ pow-prod-down
1×frac-times associate-*r* associate-*l/ *-commutative div-inv
Counts
4 → 84
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
14.0ms
(* (/ 1 (* (cbrt y) (cbrt y))) (* z (/ x (cbrt y))))

series73.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt y)
21.0ms
(cbrt y)
21.0ms
(cbrt y)
10.0ms
(* (/ 1 (* (cbrt y) (cbrt y))) (* z (/ x (cbrt y))))

simplify70.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 0 (64.0ms)

IterNodesCost
04909488
14909488

prune95.0ms

Filtered
50 candidates to 96 candidates (-92.0%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New96096
Fresh077
Picked011
Done011
Total969105

Merged error: 0b

Counts
105 → 9

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ x 4.0) y)
0.0b
(- (/ (+ x 4.0) y) (* x (/ z y)))
6.7b
(* x (/ z y))

rewrite24.0ms

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:
7.0ms
(/ (+ x 4.0) y)
8.0ms
(- (/ (+ x 4.0) y) (* x (/ z y)))
6.0ms
(* x (/ z y))

series18.0ms

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))

simplify57.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
05006783

prune88.0ms

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

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New87087
Fresh066
Picked011
Done022
Total87996

Merged error: 0b

Counts
96 → 9

regimes298.0ms

Accuracy

91.2% (0.2b remaining)

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

bsearch405.0ms

Steps
ItersRangePoint
10
1.991659103419105e-67
4.112422946796281e-55
2.9490020604149927e-58
8
-3.508134228845241e+38
-7.372330052579952e+34
-1.3397329542554413e+35

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02831
12831

end0.0ms

analyze335.0ms

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

sample659.0ms

Algorithm
intervals
Results
434.0ms8000×body80valid
43.0ms1138×body80invalid

Profiling

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