Details

Time bar (total: 4.1s)

sample23.0ms

Algorithm
intervals
Results
10.0ms285×body80valid

simplify66.0ms

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: 0.1b

Counts
2 → 2

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) (- a z))
0.8b
(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)

series322.0ms

Counts
2 → 6
Calls
2 calls:
246.0ms
(/ (- y z) (- a z))
76.0ms
(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

prune171.0ms

Filtered
70 candidates to 51 candidates (72.9%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New64670
Fresh011
Picked101
Done000
Total65772

Merged error: 0.0b

Counts
72 → 7

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* (/ (- y z) (- a z)) t) x)
0.0b
(/ (- y z) (- a z))
1.4b
(* (/ (- y z) (- a z)) t)

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
76×add-sqr-sqrt
71×*-un-lft-identity
51×times-frac
31×associate-*l*
27×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
10×add-exp-log add-cbrt-cube
5×pow1 associate-/r* associate-/l* add-log-exp
4×associate-/r/
3×expm1-log1p-u flip3-- associate-*r* flip-- log1p-expm1-u
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative fma-def frac-2neg flip3-+ div-sub pow-prod-down associate-*l/ clear-num sum-log *-commutative flip-+
Counts
3 → 120
Calls
3 calls:
11.0ms
(+ (* (/ (- y z) (- a z)) t) x)
9.0ms
(/ (- y z) (- a z))
13.0ms
(* (/ (- y z) (- a z)) t)

series249.0ms

Counts
3 → 9
Calls
3 calls:
94.0ms
(+ (* (/ (- y z) (- a z)) t) x)
53.0ms
(/ (- y z) (- a z))
102.0ms
(* (/ (- y z) (- a z)) t)

simplify51.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0448783
11395739
25001738

prune258.0ms

Filtered
129 candidates to 90 candidates (69.8%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1272129
Fresh336
Picked101
Done000
Total1315136

Merged error: 0b

Counts
136 → 5

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ y (- a z)) (/ z (- a z)))
0.0b
(/ z (- a z))
0.8b
(fma (- (/ y (- a z)) (/ z (- a z))) t x)

rewrite104.0ms

Algorithm
rewrite-expression-head
Rules
694×*-un-lft-identity
684×add-sqr-sqrt
678×times-frac
441×prod-diff
402×add-cube-cbrt
145×distribute-lft-out--
139×difference-of-squares
92×associate-/r/
47×flip3-- flip--
46×div-inv
21×fma-neg
5×add-exp-log associate-/r* add-cbrt-cube add-log-exp
3×pow1 expm1-log1p-u distribute-rgt-out-- log1p-expm1-u associate-/l*
1×cbrt-undiv sub-neg frac-2neg diff-log div-exp clear-num frac-sub fma-udef sub-div
Counts
3 → 542
Calls
3 calls:
43.0ms
(- (/ y (- a z)) (/ z (- a z)))
5.0ms
(/ z (- a z))
1.0ms
(fma (- (/ y (- a z)) (/ z (- a z))) t x)

series280.0ms

Counts
3 → 9
Calls
3 calls:
68.0ms
(- (/ y (- a z)) (/ z (- a z)))
48.0ms
(/ z (- a z))
164.0ms
(fma (- (/ y (- a z)) (/ z (- a z))) t x)

simplify185.0ms

Algorithm
egg-herbie
Counts
551 → 551
Iterations

Useful iterations: 2 (85.0ms)

IterNodesCost
0119915500
1311811542
2500110301

prune684.0ms

Filtered
551 candidates to 178 candidates (32.3%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New5510551
Fresh044
Picked011
Done000
Total5515556

Merged error: 0b

Counts
556 → 5

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- a z) (- y z))
0.3b
(/ 1 (/ (- a z) (- y z)))
0.8b
(fma (/ 1 (/ (- a z) (- y z))) t x)

rewrite33.0ms

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:
9.0ms
(/ (- a z) (- y z))
12.0ms
(/ 1 (/ (- a z) (- y z)))
1.0ms
(fma (/ 1 (/ (- a z) (- y z))) t x)

series371.0ms

Counts
3 → 9
Calls
3 calls:
48.0ms
(/ (- a z) (- y z))
139.0ms
(/ 1 (/ (- a z) (- y z)))
183.0ms
(fma (/ 1 (/ (- a z) (- y z))) t x)

simplify83.0ms

Algorithm
egg-herbie
Counts
223 → 223
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
06201891
127641708
250021537

prune318.0ms

Filtered
223 candidates to 108 candidates (48.4%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New2230223
Fresh033
Picked011
Done011
Total2235228

Merged error: 0b

Counts
228 → 5

regimes174.0ms

Accuracy

0% (1.1b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0106

end0.0ms

sample582.0ms

Algorithm
intervals
Results
321.0ms8743×body80valid
0.0ms2×body640valid
0.0ms1×body1280valid