Details

Time bar (total: 4.2s)

analyze662.0ms

Algorithm
search

sample23.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
2.0ms68×body80invalid

simplify15.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0155
1255
2395
3585
4735
5875
61025
71085
81105
91105

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 5.3b

Counts
2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ t (- 1.0 z))
0.0b
(- (/ y z) (/ t (- 1.0 z)))
5.1b
(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
49×add-sqr-sqrt
45×*-un-lft-identity
31×times-frac
15×add-cube-cbrt
12×distribute-lft-out-- difference-of-squares
10×associate-*r*
7×add-exp-log add-cbrt-cube
5×pow1 associate-/r* add-log-exp
3×sub-neg flip3-- associate-*r/ associate-*l* flip-- associate-/l*
2×distribute-rgt-in distribute-lft-in associate-/r/ frac-sub
1×cbrt-undiv frac-2neg diff-log div-exp pow-prod-down prod-exp clear-num *-commutative cbrt-unprod div-inv unswap-sqr
Counts
3 → 89
Calls
3 calls:
5.0ms
(/ t (- 1.0 z))
19.0ms
(- (/ y z) (/ t (- 1.0 z)))
20.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series30.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(/ t (- 1.0 z))
9.0ms
(- (/ y z) (/ t (- 1.0 z)))
16.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

simplify46.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0387632
11452595
25002593

prune154.0ms

Filtered
71 candidates to 98 candidates (-38.0%)
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New871198
Fresh000
Picked011
Done000
Total871299

Merged error: 1.0b

Counts
99 → 12

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (- 1.0 z))
0.0b
(- (/ y z) (* t (/ 1 (- 1.0 z))))
0.1b
(* t (/ 1 (- 1.0 z)))
5.1b
(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
49×add-sqr-sqrt
41×*-un-lft-identity
32×times-frac
26×add-cube-cbrt
24×associate-*r*
19×add-exp-log
13×add-cbrt-cube
9×pow1
7×associate-*r/ distribute-lft-out-- difference-of-squares
6×associate-*l* add-log-exp
5×prod-exp associate-/r*
4×flip3-- div-exp associate-/r/ frac-sub flip-- unswap-sqr
3×sub-neg un-div-inv cbrt-unprod associate-/l*
2×cbrt-undiv distribute-rgt-in rec-exp distribute-lft-in 1-exp pow-prod-down *-commutative div-inv
1×pow-flip frac-2neg diff-log clear-num inv-pow
Counts
4 → 125
Calls
4 calls:
6.0ms
(/ 1 (- 1.0 z))
6.0ms
(- (/ y z) (* t (/ 1 (- 1.0 z))))
12.0ms
(* t (/ 1 (- 1.0 z)))
8.0ms
(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

series32.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(/ 1 (- 1.0 z))
8.0ms
(- (/ y z) (* t (/ 1 (- 1.0 z))))
5.0ms
(* t (/ 1 (- 1.0 z)))
16.0ms
(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

simplify62.0ms

Algorithm
egg-herbie
Counts
137 → 137
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0495825
12159729
25003687

prune151.0ms

Filtered
82 candidates to 137 candidates (-67.1%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1361137
Fresh4610
Picked011
Done101
Total1418149

Merged error: 0.0b

Counts
149 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

4.9b
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
5.1b
(* x (- (/ y z) (/ t (- 1.0 z))))
5.1b
(* x (- (/ y z) (/ t (- 1.0 z))))
5.1b
(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
52×add-sqr-sqrt
43×*-un-lft-identity
30×associate-*r*
24×times-frac
12×associate-*r/ distribute-lft-out-- difference-of-squares
10×pow1 add-exp-log add-cube-cbrt add-cbrt-cube
9×associate-*l*
6×distribute-rgt-in sub-neg distribute-lft-in
4×flip3-- frac-sub flip-- add-log-exp
3×cbrt-div pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×cbrt-prod pow1/3
Counts
4 → 108
Calls
4 calls:
17.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
20.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))
22.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))
22.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series105.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
15.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))
15.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))
19.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

simplify44.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0321880
11175801
25002784

prune235.0ms

Filtered
83 candidates to 120 candidates (-44.6%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1191120
Fresh066
Picked101
Done011
Total1208128

Merged error: 0.0b

Counts
128 → 8

localize23.0ms

Local error

Found 4 expressions with local error:

4.9b
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
4.9b
(cbrt (* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (/ y z) (/ t (- 1.0 z))))))
5.1b
(* x (- (/ y z) (/ t (- 1.0 z))))
5.1b
(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
36×add-sqr-sqrt
30×*-un-lft-identity
20×associate-*r*
16×times-frac
15×associate-*r/
8×pow1 add-exp-log add-cube-cbrt add-cbrt-cube distribute-lft-out-- difference-of-squares
6×cbrt-div associate-*l*
4×distribute-rgt-in sub-neg flip3-- distribute-lft-in frac-sub flip-- add-log-exp
2×cbrt-prod pow1/3 pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 88
Calls
4 calls:
17.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
26.0ms
(cbrt (* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (/ y z) (/ t (- 1.0 z))))))
20.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))
21.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series145.0ms

Counts
4 → 12
Calls
4 calls:
57.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
58.0ms
(cbrt (* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (/ y z) (/ t (- 1.0 z))))))
15.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))
15.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

simplify45.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0363882
11302802
25001776

prune191.0ms

Filtered
74 candidates to 100 candidates (-35.1%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New991100
Fresh156
Picked011
Done011
Total1008108

Merged error: 0.0b

Counts
108 → 8

regimes468.0ms

Accuracy

93.6% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 4.8b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05554
15554

end0.0ms

analyze658.0ms

Algorithm
search

sample802.0ms

Algorithm
intervals
Results
494.0ms8000×body80valid
70.0ms1899×body80invalid

Profiling

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