Details

Time bar (total: 3.8s)

sample24.0ms

Algorithm
intervals
Results
11.0ms282×body80valid

simplify70.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (6.0ms)

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)

Merged error: 0.1b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) (- a z))
2.3b
(fma (/ (- y z) (- a z)) t x)

rewrite14.0ms

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:
12.0ms
(/ (- y z) (- a z))
0.0ms
(fma (/ (- y z) (- a z)) t x)

series138.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(/ (- y z) (- a z))
83.0ms
(fma (/ (- y z) (- a z)) t x)

simplify61.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0258433
1705410
22399410
35001410

prune191.0ms

Filtered
70 candidates to 51 candidates (72.9%)
Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- a z) (- y z))
0.3b
(/ 1 (/ (- a z) (- y z)))
2.3b
(fma (/ 1 (/ (- a z) (- y z))) t x)

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac
195×add-sqr-sqrt *-un-lft-identity
91×add-cube-cbrt
52×distribute-lft-out-- difference-of-squares
36×associate-/r*
16×add-exp-log
11×associate-/r/
10×add-cbrt-cube
8×div-exp associate-/l*
6×flip3-- flip-- div-inv
4×pow1 cbrt-undiv
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×rec-exp frac-2neg 1-exp clear-num associate-/l/
1×pow-flip div-sub fma-udef inv-pow
Counts
3 → 214
Calls
3 calls:
14.0ms
(/ (- a z) (- y z))
14.0ms
(/ 1 (/ (- a z) (- y z)))
0.0ms
(fma (/ 1 (/ (- a z) (- y z))) t x)

series386.0ms

Counts
3 → 9
Calls
3 calls:
53.0ms
(/ (- a z) (- y z))
139.0ms
(/ 1 (/ (- a z) (- y z)))
194.0ms
(fma (/ 1 (/ (- a z) (- y z))) t x)

simplify72.0ms

Algorithm
egg-herbie
Counts
223 → 223
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
06201891
127641708
250021537

prune403.0ms

Filtered
223 candidates to 105 candidates (47.1%)
Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ t (- a z))
0.0b
(+ (* (/ t (- a z)) (- y z)) x)
10.8b
(* (/ t (- a z)) (- y z))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
68×add-sqr-sqrt
63×*-un-lft-identity
47×add-cube-cbrt
36×prod-diff
31×times-frac
22×distribute-rgt-in associate-+l+ distribute-lft-in
21×associate-*l*
10×add-exp-log add-cbrt-cube
8×distribute-lft-out-- difference-of-squares
5×pow1 associate-*r* associate-/r* add-log-exp
4×sub-neg flip3-- associate-/r/ flip--
3×expm1-log1p-u log1p-expm1-u associate-/l*
2×cbrt-undiv frac-times associate-*r/ div-exp prod-exp cbrt-unprod div-inv unswap-sqr
1×+-commutative fma-def frac-2neg flip3-+ pow-prod-down associate-*l/ clear-num sum-log *-commutative flip-+
Counts
3 → 145
Calls
3 calls:
5.0ms
(/ t (- a z))
11.0ms
(+ (* (/ t (- a z)) (- y z)) x)
27.0ms
(* (/ t (- a z)) (- y z))

series409.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(/ t (- a z))
223.0ms
(+ (* (/ t (- a z)) (- y z)) x)
154.0ms
(* (/ t (- a z)) (- y z))

simplify67.0ms

Algorithm
egg-herbie
Counts
154 → 154
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
05671124
12257891
25001883

prune400.0ms

Filtered
154 candidates to 109 candidates (70.8%)
Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ t (- a z))
0.0b
(/ t (- a z))
1.0b
(fma (- z) (/ t (- a z)) x)
5.6b
(* (/ t (- a z)) y)

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
61×add-sqr-sqrt
56×*-un-lft-identity
46×times-frac
34×add-cube-cbrt
21×associate-*l*
13×add-exp-log add-cbrt-cube
11×distribute-lft-out-- difference-of-squares
10×associate-/r*
6×pow1 associate-/r/ associate-/l*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-undiv flip3-- div-exp associate-*r* flip-- div-inv
2×frac-2neg prod-exp clear-num cbrt-unprod unswap-sqr
1×pow-prod-down associate-*l/ *-commutative fma-udef
Counts
4 → 130
Calls
4 calls:
8.0ms
(/ t (- a z))
5.0ms
(/ t (- a z))
0.0ms
(fma (- z) (/ t (- a z)) x)
16.0ms
(* (/ t (- a z)) y)

series248.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(/ t (- a z))
30.0ms
(/ t (- a z))
90.0ms
(fma (- z) (/ t (- a z)) x)
97.0ms
(* (/ t (- a z)) y)

simplify89.0ms

Algorithm
egg-herbie
Counts
142 → 142
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0287657
1984607
23465606
35001606

prune414.0ms

Filtered
142 candidates to 107 candidates (75.4%)
Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

regimes117.0ms

Accuracy

0% (3.0b remaining)

Error of 3.0b against oracle of 0.0b and baseline of 3.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0199
1199

end0.0ms

sample545.0ms

Algorithm
intervals
Results
274.0ms8711×body80valid
0.0ms1×body320valid