Details

Time bar (total: 4.4s)

sample23.0ms

Algorithm
intervals
Results
11.0ms316×body80valid

simplify17.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0155
1255
2395
3585
4735
5875
61025
71085
81105
91105

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 3.6b

Counts
2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ t (- 1.0 z))
0.0b
(- (/ y z) (/ t (- 1.0 z)))
3.5b
(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite55.0ms

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)))
27.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series114.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(/ t (- 1.0 z))
36.0ms
(- (/ y z) (/ t (- 1.0 z)))
45.0ms
(* 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

prune214.0ms

Filtered
98 candidates to 71 candidates (72.4%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New881098
Fresh000
Picked011
Done000
Total881199

Merged error: 0.5b

Counts
99 → 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)))
0.6b
(/ 1 (/ (- 1.0 z) t))
3.5b
(* x (- (/ y z) (/ 1 (/ (- 1.0 z) t))))

rewrite120.0ms

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:
6.0ms
(/ (- 1.0 z) t)
45.0ms
(- (/ y z) (/ 1 (/ (- 1.0 z) t)))
9.0ms
(/ 1 (/ (- 1.0 z) t))
51.0ms
(* x (- (/ y z) (/ 1 (/ (- 1.0 z) t))))

series139.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(/ (- 1.0 z) t)
32.0ms
(- (/ y z) (/ 1 (/ (- 1.0 z) t)))
29.0ms
(/ 1 (/ (- 1.0 z) t))
46.0ms
(* x (- (/ y z) (/ 1 (/ (- 1.0 z) t))))

simplify87.0ms

Algorithm
egg-herbie
Counts
214 → 214
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
07521646
133961379
250021371

prune319.0ms

Filtered
214 candidates to 120 candidates (56.1%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New2122214
Fresh369
Picked101
Done011
Total2169225

Merged error: 0.0b

Counts
225 → 9

localize12.0ms

Local error

Found 4 expressions with local error:

3.5b
(* x (- (/ y z) (/ t (- 1.0 z))))
6.7b
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
6.7b
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
6.7b
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))

rewrite89.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
17×*-un-lft-identity
12×associate-*r/
10×associate-*r*
9×cbrt-div
8×times-frac
6×pow1 add-exp-log add-cube-cbrt add-cbrt-cube
4×flip3-- frac-sub flip-- distribute-lft-out-- add-log-exp difference-of-squares
3×cbrt-prod pow1/3 associate-*l*
2×distribute-rgt-in sub-neg distribute-lft-in
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 68
Calls
4 calls:
23.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))
20.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
24.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
20.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))

series740.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))
229.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
235.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
227.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))

simplify39.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0313732
11132671
25002639

prune238.0ms

Filtered
80 candidates to 65 candidates (81.3%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New79180
Fresh077
Picked011
Done011
Total791089

Merged error: 0.0b

Counts
89 → 10

localize16.0ms

Local error

Found 4 expressions with local error:

3.5b
(* x (- (/ y z) (/ t (- 1.0 z))))
6.2b
(cbrt (- (/ y z) (/ t (- 1.0 z))))
6.7b
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
6.7b
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt
29×*-un-lft-identity
16×times-frac
12×cbrt-prod
10×associate-*r*
9×cbrt-div associate-*r/
8×distribute-lft-out-- difference-of-squares
7×add-cube-cbrt
6×pow1 add-exp-log add-cbrt-cube
4×flip3-- frac-sub flip-- add-log-exp
3×pow1/3 associate-*l*
2×distribute-rgt-in sub-neg distribute-lft-in
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 77
Calls
4 calls:
23.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))
21.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
20.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
20.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))

series662.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))
142.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
230.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
245.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))

simplify50.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0398828
11294769
25001745

prune302.0ms

Filtered
89 candidates to 71 candidates (79.8%)
Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New88189
Fresh077
Picked011
Done022
Total881199

Merged error: 0.0b

Counts
99 → 11

regimes338.0ms

Accuracy

72.6% (1.3b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 4.9b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03021
13021

end0.0ms

sample634.0ms

Algorithm
intervals
Results
379.0ms10108×body80valid

Profiling

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