Details

Time bar (total: 4.5s)

sample24.0ms

Algorithm
intervals
Results
12.0ms330×body80valid

simplify20.0ms

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: 5.0b

Counts
2 → 1

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ y z) (/ t (- 1.0 z)))
0.0b
(/ t (- 1.0 z))
4.9b
(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite178.0ms

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:
29.0ms
(- (/ y z) (/ t (- 1.0 z)))
5.0ms
(/ t (- 1.0 z))
43.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series126.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(- (/ y z) (/ t (- 1.0 z)))
34.0ms
(/ t (- 1.0 z))
56.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

simplify257.0ms

Algorithm
egg-herbie
Counts
936 → 936
Iterations

Useful iterations: 1 (45.0ms)

IterNodesCost
0166127825
1500122260

prune1.5s

Filtered
936 candidates to 376 candidates (40.2%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New92412936
Fresh000
Picked101
Done000
Total92512937

Merged error: 0.7b

Counts
937 → 12

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ t (- 1.0 z))
0.1b
(fma y (/ 1 z) (- (/ t (- 1.0 z))))
4.9b
(* 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:
5.0ms
(/ 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)))))

series142.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(/ t (- 1.0 z))
46.0ms
(fma y (/ 1 z) (- (/ t (- 1.0 z))))
58.0ms
(* x (fma y (/ 1 z) (- (/ t (- 1.0 z)))))

simplify41.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0303522
11110468
25001463

prune190.0ms

Filtered
80 candidates to 62 candidates (77.5%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New78280
Fresh3811
Picked011
Done000
Total811192

Merged error: 0.0b

Counts
92 → 11

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ t (- 1.0 z))
2.9b
(/ (* x y) z)
3.4b
(* x (- (/ t (- 1.0 z))))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
57×add-sqr-sqrt
55×*-un-lft-identity
48×times-frac
46×associate-*r*
35×add-cube-cbrt
21×distribute-lft-neg-in distribute-rgt-neg-in
12×add-exp-log add-cbrt-cube
10×distribute-lft-out-- difference-of-squares
8×associate-/r*
6×associate-/r/
5×pow1
4×div-inv associate-/l*
3×cbrt-undiv expm1-log1p-u flip3-- div-exp associate-*l* flip-- log1p-expm1-u add-log-exp
2×frac-2neg prod-exp clear-num cbrt-unprod
1×neg-mul-1 associate-*r/ pow-prod-down *-commutative distribute-rgt-neg-out distribute-neg-frac unswap-sqr
Counts
3 → 127
Calls
3 calls:
5.0ms
(/ t (- 1.0 z))
4.0ms
(/ (* x y) z)
15.0ms
(* x (- (/ t (- 1.0 z))))

series117.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(/ t (- 1.0 z))
19.0ms
(/ (* x y) z)
61.0ms
(* x (- (/ t (- 1.0 z))))

simplify71.0ms

Algorithm
egg-herbie
Counts
136 → 136
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
0558679
12718631
25001631

prune295.0ms

Filtered
136 candidates to 102 candidates (75.0%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New1333136
Fresh279
Picked011
Done101
Total13611147

Merged error: 0.0b

Counts
147 → 11

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ t (- 1.0 z))
2.9b
(* (* x y) (/ 1 z))
3.4b
(* x (- (/ t (- 1.0 z))))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
62×add-sqr-sqrt
60×*-un-lft-identity
59×associate-*r*
54×times-frac
40×add-cube-cbrt
29×add-exp-log
21×distribute-lft-neg-in distribute-rgt-neg-in
19×add-cbrt-cube
13×prod-exp
10×pow1 distribute-lft-out-- difference-of-squares
7×cbrt-unprod
6×associate-/r/
5×div-exp associate-/r*
4×associate-*l* pow-prod-down div-inv
3×cbrt-undiv expm1-log1p-u flip3-- flip-- log1p-expm1-u associate-/l* add-log-exp
2×rec-exp 1-exp associate-*r/ *-commutative
1×neg-mul-1 frac-2neg clear-num un-div-inv distribute-rgt-neg-out distribute-neg-frac unswap-sqr
Counts
3 → 144
Calls
3 calls:
5.0ms
(/ t (- 1.0 z))
8.0ms
(* (* x y) (/ 1 z))
14.0ms
(* x (- (/ t (- 1.0 z))))

series115.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(/ t (- 1.0 z))
19.0ms
(* (* x y) (/ 1 z))
62.0ms
(* x (- (/ t (- 1.0 z))))

simplify92.0ms

Algorithm
egg-herbie
Counts
153 → 153
Iterations

Useful iterations: 2 (81.0ms)

IterNodesCost
0692779
13501704
25001691

prune287.0ms

Filtered
153 candidates to 106 candidates (69.3%)
Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New1521153
Fresh099
Picked011
Done011
Total15212164

Merged error: 0.0b

Counts
164 → 12

regimes324.0ms

Accuracy

39.2% (3.2b remaining)

Error of 3.3b against oracle of 0.0b and baseline of 5.3b

bsearch2.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05444
15844
25944
35944

end0.0ms

sample615.0ms

Algorithm
intervals
Results
364.0ms10026×body80valid