Details

Time bar (total: 3.0s)

sample32.0ms

Algorithm
intervals
Results
11.0ms322×body80valid

simplify14.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0155
1255
2395
3585
4735
5875
61025
71085
81105
91105

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 4.2b

Counts
2 → 1

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ t (- 1.0 z))
0.0b
(- (/ y z) (/ t (- 1.0 z)))
4.0b
(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite44.0ms

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))
16.0ms
(- (/ y z) (/ t (- 1.0 z)))
20.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series31.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(/ t (- 1.0 z))
11.0ms
(- (/ y z) (/ t (- 1.0 z)))
15.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

simplify43.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0387632
11452595
25002593

prune149.0ms

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

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New881098
Fresh000
Picked101
Done000
Total891099

Merged error: 0.3b

Counts
99 → 10

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)))
4.0b
(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

rewrite31.0ms

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:
5.0ms
(/ 1 (- 1.0 z))
6.0ms
(- (/ y z) (* t (/ 1 (- 1.0 z))))
9.0ms
(* t (/ 1 (- 1.0 z)))
7.0ms
(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

series32.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(/ 1 (- 1.0 z))
10.0ms
(- (/ y z) (* t (/ 1 (- 1.0 z))))
5.0ms
(* t (/ 1 (- 1.0 z)))
15.0ms
(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

simplify56.0ms

Algorithm
egg-herbie
Counts
137 → 137
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0495825
12159729
25003687

prune153.0ms

Filtered
81 candidates to 137 candidates (-69.1%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New1361137
Fresh099
Picked011
Done000
Total13611147

Merged error: 0.0b

Counts
147 → 11

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- 1.0 z) t)
0.0b
(- (/ y z) (/ 1 (/ (- 1.0 z) t)))
0.5b
(/ 1 (/ (- 1.0 z) t))
4.0b
(* x (- (/ y z) (/ 1 (/ (- 1.0 z) t))))

rewrite103.0ms

Algorithm
rewrite-expression-head
Rules
172×add-sqr-sqrt
170×times-frac
126×*-un-lft-identity
72×add-cube-cbrt
36×difference-of-squares
22×associate-/r* distribute-lft-out--
19×add-exp-log
16×associate-*r*
13×add-cbrt-cube
8×div-exp div-inv associate-/l*
7×pow1
6×add-log-exp
4×cbrt-undiv
3×sub-neg flip3-- associate-*r/ associate-*l* flip--
2×distribute-rgt-in rec-exp frac-2neg distribute-lft-in 1-exp clear-num frac-sub associate-/l/
1×pow-flip diff-log div-sub pow-prod-down prod-exp associate-/r/ *-commutative cbrt-unprod inv-pow unswap-sqr
Counts
4 → 202
Calls
4 calls:
5.0ms
(/ (- 1.0 z) t)
36.0ms
(- (/ y z) (/ 1 (/ (- 1.0 z) t)))
9.0ms
(/ 1 (/ (- 1.0 z) t))
41.0ms
(* x (- (/ y z) (/ 1 (/ (- 1.0 z) t))))

series32.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(/ (- 1.0 z) t)
8.0ms
(- (/ y z) (/ 1 (/ (- 1.0 z) t)))
5.0ms
(/ 1 (/ (- 1.0 z) t))
15.0ms
(* x (- (/ y z) (/ 1 (/ (- 1.0 z) t))))

simplify77.0ms

Algorithm
egg-herbie
Counts
214 → 214
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
07521646
133961379
250021371

prune205.0ms

Filtered
119 candidates to 214 candidates (-79.8%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New2131214
Fresh189
Picked101
Done011
Total21510225

Merged error: 0.0b

Counts
225 → 10

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(* x (* (cbrt (- (/ y z) (/ t (- 1.0 z)))) (cbrt (- (/ y z) (/ t (- 1.0 z))))))
6.5b
(cbrt (- (/ y z) (/ t (- 1.0 z))))
6.5b
(cbrt (- (/ y z) (/ t (- 1.0 z))))
6.5b
(cbrt (- (/ y z) (/ t (- 1.0 z))))

rewrite118.0ms

Algorithm
rewrite-expression-head
Rules
45×add-sqr-sqrt
41×*-un-lft-identity
33×cbrt-div
30×cbrt-prod
24×times-frac
18×associate-*r/
12×distribute-lft-out-- difference-of-squares
11×flip3-- frac-sub flip--
9×pow1 add-exp-log frac-times
8×add-cube-cbrt
7×add-cbrt-cube
4×add-log-exp
3×pow1/3 associate-*l* pow-prod-down associate-*l/ prod-exp cbrt-unprod
1×associate-*r* *-commutative unswap-sqr
Counts
4 → 97
Calls
4 calls:
42.0ms
(* x (* (cbrt (- (/ y z) (/ t (- 1.0 z)))) (cbrt (- (/ y z) (/ t (- 1.0 z))))))
16.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
31.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
25.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))

series201.0ms

Counts
4 → 12
Calls
4 calls:
72.0ms
(* x (* (cbrt (- (/ y z) (/ t (- 1.0 z)))) (cbrt (- (/ y z) (/ t (- 1.0 z))))))
54.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
38.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
35.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))

simplify82.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 3 (65.0ms)

IterNodesCost
04331357
110301273
228101253
350011220

prune228.0ms

Filtered
84 candidates to 109 candidates (-29.8%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New1081109
Fresh088
Picked011
Done011
Total10811119

Merged error: 0.0b

Counts
119 → 11

regimes542.0ms

Accuracy

72.5% (1.2b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 4.5b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03722
13722

end0.0ms

sample735.0ms

Algorithm
intervals
Results
373.0ms10173×body80valid

Profiling

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