Details

Time bar (total: 5.0s)

sample24.0ms

Algorithm
intervals
Results
11.0ms324×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: 5.5b

Counts
2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ y z) (/ t (- 1.0 z)))
0.0b
(/ t (- 1.0 z))
5.3b
(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite192.0ms

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:
27.0ms
(- (/ y z) (/ t (- 1.0 z)))
6.0ms
(/ t (- 1.0 z))
50.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series120.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(- (/ y z) (/ t (- 1.0 z)))
40.0ms
(/ t (- 1.0 z))
47.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

simplify265.0ms

Algorithm
egg-herbie
Counts
936 → 936
Iterations

Useful iterations: 1 (51.0ms)

IterNodesCost
0166127825
1500122260

prune1.5s

Filtered
936 candidates to 376 candidates (40.2%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New9279936
Fresh000
Picked101
Done000
Total9289937

Merged error: 0.9b

Counts
937 → 9

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))))
5.3b
(* 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)))))

series143.0ms

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)))))

simplify38.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0303522
11110468
25001463

prune183.0ms

Filtered
80 candidates to 62 candidates (77.5%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New78280
Fresh358
Picked011
Done000
Total81889

Merged error: 0.0b

Counts
89 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (/ (* x y) z) (* x (- (/ t (- 1.0 z)))))
0.0b
(/ t (- 1.0 z))
3.4b
(* x (- (/ t (- 1.0 z))))
6.2b
(/ (* x y) z)

rewrite41.0ms

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:
6.0ms
(+ (/ (* x y) z) (* x (- (/ t (- 1.0 z)))))
6.0ms
(/ t (- 1.0 z))
15.0ms
(* x (- (/ t (- 1.0 z))))
4.0ms
(/ (* x y) z)

series186.0ms

Counts
4 → 12
Calls
4 calls:
69.0ms
(+ (/ (* x y) z) (* x (- (/ t (- 1.0 z)))))
40.0ms
(/ t (- 1.0 z))
56.0ms
(* x (- (/ t (- 1.0 z))))
20.0ms
(/ (* x y) z)

simplify86.0ms

Algorithm
egg-herbie
Counts
162 → 162
Iterations

Useful iterations: 2 (75.0ms)

IterNodesCost
0641851
13080795
25002792

prune358.0ms

Filtered
162 candidates to 125 candidates (77.2%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1593162
Fresh426
Picked101
Done011
Total1646170

Merged error: 0b

Counts
170 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (/ x (/ z y)) (* x (- (/ t (- 1.0 z)))))
0.0b
(/ t (- 1.0 z))
3.4b
(* x (- (/ t (- 1.0 z))))
7.6b
(/ x (/ z y))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
186×times-frac
133×add-sqr-sqrt
131×*-un-lft-identity
111×add-cube-cbrt
46×associate-*r*
44×fma-def
21×distribute-lft-neg-in distribute-rgt-neg-in
18×associate-/r*
13×add-exp-log add-cbrt-cube div-inv
10×distribute-lft-out-- difference-of-squares
8×associate-/r/
6×pow1 associate-/l* add-log-exp
4×cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u
3×flip3-- associate-*l* distribute-rgt-neg-out flip--
2×frac-2neg associate-*r/ clear-num distribute-neg-frac
1×+-commutative neg-mul-1 flip3-+ unsub-neg pow-prod-down frac-add prod-exp sum-log *-commutative cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
4 → 237
Calls
4 calls:
16.0ms
(+ (/ x (/ z y)) (* x (- (/ t (- 1.0 z)))))
6.0ms
(/ t (- 1.0 z))
15.0ms
(* x (- (/ t (- 1.0 z))))
10.0ms
(/ x (/ z y))

series203.0ms

Counts
4 → 12
Calls
4 calls:
82.0ms
(+ (/ x (/ z y)) (* x (- (/ t (- 1.0 z)))))
38.0ms
(/ t (- 1.0 z))
62.0ms
(* x (- (/ t (- 1.0 z))))
21.0ms
(/ x (/ z y))

simplify112.0ms

Algorithm
egg-herbie
Counts
249 → 249
Iterations

Useful iterations: 2 (97.0ms)

IterNodesCost
08581225
139841161
250011160

prune557.0ms

Filtered
249 candidates to 208 candidates (83.5%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New2481249
Fresh134
Picked011
Done011
Total2496255

Merged error: 0b

Counts
255 → 6

regimes237.0ms

Accuracy

89.5% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 4.5b

bsearch1.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05460
16160
26560
36660
46660

end0.0ms

sample615.0ms

Algorithm
intervals
Results
359.0ms10065×body80valid