Details

Time bar (total: 1.9s)

sample26.0ms

Algorithm
intervals
Results
12.0ms323×body80valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
05112
15112

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: 0.0b

Counts
2 → 2

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ (+ x 4.0) y) (* (/ x y) z))
0.0b
(/ (+ x 4.0) y)
2.2b
(* (/ 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 → 79
Calls
3 calls:
8.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
5.0ms
(/ (+ x 4.0) y)
6.0ms
(* (/ x y) z)

series19.0ms

Counts
3 → 9
Calls
3 calls:
9.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
4.0ms
(/ (+ x 4.0) y)
6.0ms
(* (/ x y) z)

simplify29.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 0 (22.0ms)

IterNodesCost
04994783
14994783

prune119.0ms

Filtered
62 candidates to 88 candidates (-41.9%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New84488
Fresh011
Picked101
Done000
Total85590

Merged error: 0b

Counts
90 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

2.2b
(* (/ x y) z)
12.2b
(cbrt (* (/ x y) z))
12.2b
(cbrt (* (/ x y) z))
12.2b
(cbrt (* (/ x y) z))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*l*
12×add-cube-cbrt *-un-lft-identity
10×times-frac
9×add-exp-log add-cbrt-cube
6×pow1
4×associate-*l/ add-log-exp
3×cbrt-prod cbrt-div pow1/3 associate-*r*
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv div-exp pow-prod-down *-commutative div-inv
Counts
4 → 62
Calls
4 calls:
6.0ms
(* (/ x y) z)
4.0ms
(cbrt (* (/ x y) z))
4.0ms
(cbrt (* (/ x y) z))
4.0ms
(cbrt (* (/ x y) z))

series64.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(* (/ x y) z)
21.0ms
(cbrt (* (/ x y) z))
19.0ms
(cbrt (* (/ x y) z))
19.0ms
(cbrt (* (/ x y) z))

simplify47.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
05154500

prune98.0ms

Filtered
59 candidates to 74 candidates (-25.4%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New74074
Fresh044
Picked011
Done000
Total74579

Merged error: 0b

Counts
79 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (/ (+ x 4.0) y))
0.6b
(cbrt (/ (+ x 4.0) y))
0.6b
(cbrt (/ (+ x 4.0) y))
2.2b
(* (/ x y) z)

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
54×*-un-lft-identity
48×cbrt-prod
46×times-frac
41×add-sqr-sqrt
36×add-cube-cbrt
13×associate-*l*
9×add-exp-log add-cbrt-cube distribute-lft-out
6×pow1
4×div-inv add-log-exp
3×cbrt-div pow1/3 associate-*r*
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv div-exp pow-prod-down associate-*l/ *-commutative
Counts
4 → 107
Calls
4 calls:
4.0ms
(cbrt (/ (+ x 4.0) y))
4.0ms
(cbrt (/ (+ x 4.0) y))
4.0ms
(cbrt (/ (+ x 4.0) y))
6.0ms
(* (/ x y) z)

series58.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(cbrt (/ (+ x 4.0) y))
17.0ms
(cbrt (/ (+ x 4.0) y))
17.0ms
(cbrt (/ (+ x 4.0) y))
5.0ms
(* (/ x y) z)

simplify72.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 0 (61.0ms)

IterNodesCost
051141223

prune225.0ms

Filtered
88 candidates to 119 candidates (-35.2%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1190119
Fresh033
Picked011
Done011
Total1195124

Merged error: 0b

Counts
124 → 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)))
6.5b
(* x (/ z y))

rewrite22.0ms

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 → 79
Calls
3 calls:
5.0ms
(/ (+ 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))

simplify44.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
05166789

prune84.0ms

Filtered
60 candidates to 88 candidates (-46.7%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New88088
Fresh022
Picked011
Done022
Total88593

Merged error: 0b

Counts
93 → 5

regimes172.0ms

Accuracy

89% (0.2b remaining)

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

bsearch37.0ms

Steps
ItersRangePoint
9
2.862359186821416e-67
1.2028035240579586e-61
7.745636671669401e-65
7
-6.209768337606974e+21
-1.110966542652849e+20
-2.2258047928323314e+21

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02831
12831

end0.0ms

sample693.0ms

Algorithm
intervals
Results
355.0ms10094×body80valid

Profiling

Loading profile data...