Details

Time bar (total: 4.8s)

sample21.0ms

Algorithm
intervals
Results
9.0ms279×body80valid

simplify69.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
0175
1355
2634
31074
41694
52394
62884
73564
84074
95334
107554
1112564
1213024
1313044
1413044

prune8.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 2

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) (- a z))
0.5b
(fma (/ (- y z) (- a z)) t x)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt *-un-lft-identity
25×times-frac
14×add-cube-cbrt
12×distribute-lft-out-- difference-of-squares
5×associate-/r* associate-/l*
4×add-exp-log add-cbrt-cube
2×pow1 expm1-log1p-u flip3-- associate-/r/ flip-- log1p-expm1-u associate-/l/ add-log-exp
1×cbrt-undiv frac-2neg div-sub div-exp clear-num fma-udef div-inv
Counts
2 → 64
Calls
2 calls:
9.0ms
(/ (- y z) (- a z))
1.0ms
(fma (/ (- y z) (- a z)) t x)

series123.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(/ (- y z) (- a z))
73.0ms
(fma (/ (- y z) (- a z)) t x)

simplify63.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0258433
1705410
22399410
35001410

prune192.0ms

Filtered
70 candidates to 51 candidates (72.9%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New66470
Fresh011
Picked101
Done000
Total67572

Merged error: 0.0b

Counts
72 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ y (- a z))
0.0b
(- (/ y (- a z)) (/ z (- a z)))
0.0b
(/ z (- a z))
0.5b
(fma (- (/ y (- a z)) (/ z (- a z))) t x)

rewrite111.0ms

Algorithm
rewrite-expression-head
Rules
713×*-un-lft-identity
703×add-sqr-sqrt
693×times-frac
441×prod-diff
413×add-cube-cbrt
149×distribute-lft-out--
143×difference-of-squares
94×associate-/r/
48×flip3-- flip--
47×div-inv
21×fma-neg
10×associate-/r*
8×add-exp-log add-cbrt-cube
6×associate-/l* add-log-exp
4×pow1 expm1-log1p-u log1p-expm1-u
3×distribute-rgt-out--
2×cbrt-undiv frac-2neg div-exp clear-num
1×sub-neg diff-log frac-sub fma-udef sub-div
Counts
4 → 581
Calls
4 calls:
6.0ms
(/ y (- a z))
42.0ms
(- (/ y (- a z)) (/ z (- a z)))
6.0ms
(/ z (- a z))
1.0ms
(fma (- (/ y (- a z)) (/ z (- a z))) t x)

series308.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(/ y (- a z))
64.0ms
(- (/ y (- a z)) (/ z (- a z)))
46.0ms
(/ z (- a z))
166.0ms
(fma (- (/ y (- a z)) (/ z (- a z))) t x)

simplify193.0ms

Algorithm
egg-herbie
Counts
593 → 593
Iterations

Useful iterations: 2 (83.0ms)

IterNodesCost
0123315689
1329711705
2500111613

prune1.2s

Filtered
593 candidates to 269 candidates (45.4%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New5903593
Fresh224
Picked101
Done000
Total5935598

Merged error: 0.0b

Counts
598 → 5

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ z (- a z))
0.0b
(log1p (expm1 (/ z (- a z))))
0.0b
(- (/ y (- a z)) (log1p (expm1 (/ z (- a z)))))
0.5b
(fma (- (/ y (- a z)) (log1p (expm1 (/ z (- a z))))) t x)

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
108×add-sqr-sqrt
105×*-un-lft-identity
76×times-frac
71×add-cube-cbrt
63×prod-diff
21×fma-neg
18×difference-of-squares
17×distribute-lft-out--
10×associate-/r/
7×add-log-exp
6×add-exp-log flip3-- add-cbrt-cube flip--
5×associate-/r* div-inv
4×pow1 expm1-log1p-u log1p-expm1-u
3×associate-/l*
2×log1p-udef diff-log
1×cbrt-undiv sub-neg frac-2neg log1p-expm1 div-exp clear-num fma-udef
Counts
4 → 162
Calls
4 calls:
6.0ms
(/ z (- a z))
1.0ms
(log1p (expm1 (/ z (- a z))))
16.0ms
(- (/ y (- a z)) (log1p (expm1 (/ z (- a z)))))
1.0ms
(fma (- (/ y (- a z)) (log1p (expm1 (/ z (- a z))))) t x)

series444.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(/ z (- a z))
95.0ms
(log1p (expm1 (/ z (- a z))))
90.0ms
(- (/ y (- a z)) (log1p (expm1 (/ z (- a z)))))
213.0ms
(fma (- (/ y (- a z)) (log1p (expm1 (/ z (- a z))))) t x)

simplify59.0ms

Algorithm
egg-herbie
Counts
174 → 174
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
04382978
112411536
250011487

prune415.0ms

Filtered
174 candidates to 101 candidates (58.0%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1740174
Fresh044
Picked011
Done000
Total1745179

Merged error: 0.0b

Counts
179 → 5

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- a z))
0.2b
(* (/ 1 (- a z)) (- y z))
0.5b
(fma (* (/ 1 (- a z)) (- y z)) t x)

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
58×add-sqr-sqrt
52×*-un-lft-identity
35×add-cube-cbrt
32×times-frac
21×associate-*l*
18×prod-diff
16×add-exp-log
11×distribute-rgt-in distribute-lft-in
10×add-cbrt-cube
8×distribute-lft-out-- difference-of-squares
6×pow1
5×associate-*r* associate-/r*
4×flip3-- div-exp prod-exp associate-/r/ flip--
3×expm1-log1p-u log1p-expm1-u associate-/l* add-log-exp unswap-sqr
2×cbrt-undiv frac-times sub-neg rec-exp 1-exp associate-*r/ cbrt-unprod div-inv
1×pow-flip frac-2neg pow-prod-down associate-*l/ clear-num *-commutative fma-udef inv-pow
Counts
3 → 126
Calls
3 calls:
6.0ms
(/ 1 (- a z))
15.0ms
(* (/ 1 (- a z)) (- y z))
1.0ms
(fma (* (/ 1 (- a z)) (- y z)) t x)

series349.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(/ 1 (- a z))
134.0ms
(* (/ 1 (- a z)) (- y z))
181.0ms
(fma (* (/ 1 (- a z)) (- y z)) t x)

simplify64.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0488928
12037685
25001639

prune273.0ms

Filtered
135 candidates to 77 candidates (57.0%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1350135
Fresh033
Picked011
Done011
Total1355140

Merged error: 0.0b

Counts
140 → 5

regimes179.0ms

Accuracy

0% (1.3b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0128

end0.0ms

sample553.0ms

Algorithm
intervals
Results
286.0ms8744×body80valid
0.0ms3×body160valid
0.0ms1×body1280valid
0.0ms1×body640valid