Details

Time bar (total: 4.7s)

sample24.0ms

Algorithm
intervals
Results
12.0ms316×body80valid

simplify19.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0155
1255
2415
3635
4805
5965
61135
71215
81245
91245

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: 4.8b

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)))
4.6b
(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite182.0ms

Algorithm
rewrite-expression-head
Rules
1192×times-frac
1082×add-sqr-sqrt
1078×*-un-lft-identity
819×prod-diff
814×add-cube-cbrt
275×distribute-rgt-in distribute-lft-in
129×distribute-lft-out-- difference-of-squares
104×div-inv
80×associate-/r/
42×flip3-- flip--
13×fma-neg
10×associate-*r*
7×add-exp-log add-cbrt-cube
5×pow1 associate-/r* add-log-exp
3×expm1-log1p-u sub-neg associate-*r/ associate-*l* log1p-expm1-u associate-/l*
2×frac-sub
1×cbrt-undiv frac-2neg diff-log div-exp pow-prod-down prod-exp clear-num *-commutative cbrt-unprod unswap-sqr
Counts
3 → 927
Calls
3 calls:
5.0ms
(/ t (- 1.0 z))
26.0ms
(- (/ y z) (/ t (- 1.0 z)))
50.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series132.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(/ t (- 1.0 z))
39.0ms
(- (/ y z) (/ t (- 1.0 z)))
48.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

simplify254.0ms

Algorithm
egg-herbie
Counts
936 → 936
Iterations

Useful iterations: 1 (42.0ms)

IterNodesCost
0166127825
1500122260

prune1.5s

Filtered
936 candidates to 376 candidates (40.2%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New92511936
Fresh000
Picked101
Done000
Total92611937

Merged error: 0.8b

Counts
937 → 11

localize10.0ms

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)))
4.6b
(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
77×add-sqr-sqrt
69×*-un-lft-identity
68×times-frac
54×add-cube-cbrt
39×prod-diff
24×associate-*r*
19×add-exp-log
15×distribute-rgt-in distribute-lft-in
13×fma-neg add-cbrt-cube
9×pow1
7×associate-*r/ distribute-lft-out-- difference-of-squares
6×associate-*l* div-inv add-log-exp
5×prod-exp associate-/r*
4×expm1-log1p-u flip3-- div-exp associate-/r/ frac-sub flip-- log1p-expm1-u unswap-sqr
3×sub-neg un-div-inv cbrt-unprod associate-/l*
2×cbrt-undiv rec-exp 1-exp pow-prod-down *-commutative
1×pow-flip frac-2neg diff-log clear-num inv-pow
Counts
4 → 185
Calls
4 calls:
6.0ms
(/ 1 (- 1.0 z))
8.0ms
(- (/ y z) (* t (/ 1 (- 1.0 z))))
11.0ms
(* t (/ 1 (- 1.0 z)))
9.0ms
(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

series144.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(/ 1 (- 1.0 z))
39.0ms
(- (/ y z) (* t (/ 1 (- 1.0 z))))
34.0ms
(* t (/ 1 (- 1.0 z)))
47.0ms
(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

simplify82.0ms

Algorithm
egg-herbie
Counts
197 → 197
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
06261632
126971397
250011294

prune329.0ms

Filtered
197 candidates to 116 candidates (58.9%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New1970197
Fresh01010
Picked011
Done000
Total19711208

Merged error: 0.8b

Counts
208 → 11

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ t (- 1.0 z))
0.2b
(fma y (/ 1 z) (- (/ t (- 1.0 z))))
4.6b
(* x (fma y (/ 1 z) (- (/ t (- 1.0 z)))))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
23×*-un-lft-identity
15×add-cube-cbrt times-frac
7×add-exp-log add-cbrt-cube
5×pow1 associate-/r*
4×distribute-lft-out-- difference-of-squares
3×expm1-log1p-u associate-*r* associate-*l* fma-udef log1p-expm1-u associate-/l* add-log-exp
2×associate-/r/
1×cbrt-undiv distribute-rgt-in flip3-- frac-2neg distribute-lft-in div-exp pow-prod-down prod-exp clear-num *-commutative flip-- cbrt-unprod div-inv unswap-sqr
Counts
3 → 71
Calls
3 calls:
6.0ms
(/ t (- 1.0 z))
1.0ms
(fma y (/ 1 z) (- (/ t (- 1.0 z))))
4.0ms
(* x (fma y (/ 1 z) (- (/ t (- 1.0 z)))))

series138.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(/ t (- 1.0 z))
51.0ms
(fma y (/ 1 z) (- (/ t (- 1.0 z))))
53.0ms
(* x (fma y (/ 1 z) (- (/ t (- 1.0 z)))))

simplify42.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0303522
11110468
25001463

prune192.0ms

Filtered
80 candidates to 62 candidates (77.5%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New78280
Fresh459
Picked011
Done101
Total83891

Merged error: 0.0b

Counts
91 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ t (- 1.0 z))
0.0b
(+ (/ (* x y) z) (* x (- (/ t (- 1.0 z)))))
3.6b
(* x (- (/ t (- 1.0 z))))
4.7b
(/ (* x y) z)

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
60×add-sqr-sqrt
58×*-un-lft-identity
51×times-frac
46×associate-*r*
38×add-cube-cbrt
21×distribute-lft-neg-in distribute-rgt-neg-in
13×add-exp-log add-cbrt-cube
10×distribute-lft-out-- difference-of-squares
8×associate-/r*
7×fma-def
6×pow1 associate-/r/ add-log-exp
5×div-inv
4×expm1-log1p-u log1p-expm1-u associate-/l*
3×cbrt-undiv flip3-- div-exp associate-*l* distribute-rgt-neg-out flip--
2×frac-2neg associate-*r/ prod-exp clear-num cbrt-unprod distribute-neg-frac
1×+-commutative neg-mul-1 flip3-+ unsub-neg pow-prod-down frac-add sum-log *-commutative flip-+ unswap-sqr
Counts
4 → 150
Calls
4 calls:
5.0ms
(/ t (- 1.0 z))
6.0ms
(+ (/ (* x y) z) (* x (- (/ t (- 1.0 z)))))
14.0ms
(* x (- (/ t (- 1.0 z))))
9.0ms
(/ (* x y) z)

series178.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(/ t (- 1.0 z))
65.0ms
(+ (/ (* x y) z) (* x (- (/ t (- 1.0 z)))))
60.0ms
(* x (- (/ t (- 1.0 z))))
19.0ms
(/ (* x y) z)

simplify80.0ms

Algorithm
egg-herbie
Counts
162 → 162
Iterations

Useful iterations: 2 (69.0ms)

IterNodesCost
0642851
13081795
25001792

prune345.0ms

Filtered
162 candidates to 125 candidates (77.2%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New1602162
Fresh066
Picked011
Done011
Total16010170

Merged error: 0.0b

Counts
170 → 10

regimes311.0ms

Accuracy

78% (1.2b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 5.7b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04652
15052
25152
35152

end0.0ms

sample641.0ms

Algorithm
intervals
Results
375.0ms10076×body80valid

Profiling

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