Details

Time bar (total: 2.7s)

analyze356.0ms

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

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02212
12212

prune11.0ms

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) (* (/ x y) z))
0.0b
(/ (+ x 4.0) y)
3.4b
(* (/ x y) z)

rewrite21.0ms

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:
8.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
5.0ms
(/ (+ x 4.0) y)
6.0ms
(* (/ x y) z)

series21.0ms

Counts
3 → 9
Calls
3 calls:
12.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
4.0ms
(/ (+ x 4.0) y)
5.0ms
(* (/ x y) z)

simplify37.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
05115777

prune128.0ms

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

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New83487
Fresh011
Picked101
Done000
Total84589

Merged error: 0.0b

Counts
89 → 5

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (/ 4.0 y) (* (/ x y) (- 1 z)))
3.3b
(* (/ x y) (- 1 z))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
13×*-un-lft-identity associate-*l*
10×add-cube-cbrt times-frac
7×add-exp-log add-cbrt-cube
6×associate-*r*
5×frac-add
4×pow1 frac-times sub-neg flip3-- associate-*r/ flip-- add-log-exp
2×distribute-rgt-in associate-+r+ distribute-lft-in associate-*l/ prod-exp cbrt-unprod difference-of-squares unswap-sqr
1×cbrt-undiv +-commutative flip3-+ div-exp pow-prod-down sum-log *-commutative flip-+ div-inv distribute-lft-out--
Counts
2 → 59
Calls
2 calls:
7.0ms
(+ (/ 4.0 y) (* (/ x y) (- 1 z)))
9.0ms
(* (/ x y) (- 1 z))

series19.0ms

Counts
2 → 6
Calls
2 calls:
9.0ms
(+ (/ 4.0 y) (* (/ x y) (- 1 z)))
10.0ms
(* (/ x y) (- 1 z))

simplify42.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
04957720
14957720

prune94.0ms

Filtered
52 candidates to 65 candidates (-25.0%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New64165
Fresh134
Picked011
Done000
Total65570

Merged error: 0.0b

Counts
70 → 5

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt y)
0.5b
(cbrt y)
1.1b
(* z (/ x (cbrt y)))
3.9b
(* (/ 1 (* (cbrt y) (cbrt y))) (* z (/ x (cbrt y))))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
87×add-exp-log
46×prod-exp
35×add-cbrt-cube
30×add-sqr-sqrt
23×times-frac associate-*r*
22×add-cube-cbrt *-un-lft-identity
20×div-exp cbrt-unprod
16×cbrt-prod
11×pow1
10×cbrt-undiv associate-*l*
6×rec-exp 1-exp
4×associate-*r/ pow-prod-down add-log-exp
3×unswap-sqr
2×pow1/3 *-commutative div-inv
1×frac-times associate-*l/
Counts
4 → 115
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
8.0ms
(* z (/ x (cbrt y)))
14.0ms
(* (/ 1 (* (cbrt y) (cbrt y))) (* z (/ x (cbrt y))))

series72.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt y)
23.0ms
(cbrt y)
17.0ms
(* z (/ x (cbrt y)))
10.0ms
(* (/ 1 (* (cbrt y) (cbrt y))) (* z (/ x (cbrt y))))

simplify68.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
04976785
14976785

prune123.0ms

Filtered
72 candidates to 127 candidates (-76.4%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1261127
Fresh033
Picked101
Done011
Total1275132

Merged error: 0b

Counts
132 → 5

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)))
5.2b
(* 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:
5.0ms
(/ (+ x 4.0) y)
8.0ms
(- (/ (+ 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))

simplify57.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
05006783

prune89.0ms

Filtered
60 candidates to 87 candidates (-45.0%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New87087
Fresh033
Picked011
Done011
Total87592

Merged error: 0b

Counts
92 → 5

regimes177.0ms

Accuracy

52.5% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 1.5b

bsearch324.0ms

Steps
ItersRangePoint
7
2.0048724414855741e-63
4.526920701116399e-62
1.7904176914311191e-62
8
-2.5629481082563755e-136
-2.896792862242483e-140
-1.3266761392413531e-136

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03542
13542

end0.0ms

analyze347.0ms

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

sample545.0ms

Algorithm
intervals
Results
312.0ms8000×body80valid
42.0ms1127×body80invalid

Profiling

Loading profile data...