Details

Time bar (total: 1.5s)

sample26.0ms

Algorithm
intervals
Results
13.0ms328×body80valid

simplify119.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
0226
1506
21244
32804
45344
58694
613974
735214
850014

prune7.0ms

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

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma 0.75 y (- x z))
0.2b
(fma (/ 4.0 y) (fma 0.75 y (- x z)) 1.0)

rewrite2.0ms

Algorithm
rewrite-expression-head
Rules
2×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
2 → 20
Calls
2 calls:
1.0ms
(fma 0.75 y (- x z))
1.0ms
(fma (/ 4.0 y) (fma 0.75 y (- x z)) 1.0)

series73.0ms

Counts
2 → 6
Calls
2 calls:
22.0ms
(fma 0.75 y (- x z))
51.0ms
(fma (/ 4.0 y) (fma 0.75 y (- x z)) 1.0)

simplify69.0ms

Algorithm
egg-herbie
Counts
26 → 26
Iterations

Useful iterations: 4 (66.0ms)

IterNodesCost
064128
1156108
2566108
33032105
45001102

prune59.0ms

Filtered
26 candidates to 21 candidates (80.8%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New25126
Fresh011
Picked101
Done000
Total26228

Merged error: 0b

Counts
28 → 2

localize5.0ms

Local error

Found 1 expressions with local error:

0.2b
(fma (/ 4.0 y) (- x z) 4.0)

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
1.0ms
(fma (/ 4.0 y) (- x z) 4.0)

series28.0ms

Counts
1 → 3
Calls
1 calls:
28.0ms
(fma (/ 4.0 y) (- x z) 4.0)

simplify44.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
04269
110659
229353
3141053
4500253

prune27.0ms

Filtered
13 candidates to 10 candidates (76.9%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New13013
Fresh011
Picked011
Done000
Total13215

Merged error: 0b

Counts
15 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (+ x (* y 0.75)) z)
0.0b
(+ 1.0 (/ (* 4.0 (- (+ x (* y 0.75)) z)) y))
0.0b
(+ x (* y 0.75))
0.3b
(/ (* 4.0 (- (+ x (* y 0.75)) z)) y)

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
17×add-sqr-sqrt
15×add-cube-cbrt
13×add-log-exp
9×add-exp-log prod-diff add-cbrt-cube
6×fma-def
4×pow1 expm1-log1p-u log1p-expm1-u
3×times-frac fma-neg associate-/r* sum-log
2×cbrt-undiv +-commutative flip3-- flip3-+ diff-log associate-*r/ div-exp flip-- flip-+ associate-/l/
1×sub-neg frac-2neg prod-exp associate--l+ clear-num cbrt-unprod div-inv distribute-lft-out associate-/l* distribute-lft-out-- difference-of-squares
Counts
4 → 88
Calls
4 calls:
6.0ms
(- (+ x (* y 0.75)) z)
6.0ms
(+ 1.0 (/ (* 4.0 (- (+ x (* y 0.75)) z)) y))
3.0ms
(+ x (* y 0.75))
10.0ms
(/ (* 4.0 (- (+ x (* y 0.75)) z)) y)

series114.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(- (+ x (* y 0.75)) z)
26.0ms
(+ 1.0 (/ (* 4.0 (- (+ x (* y 0.75)) z)) y))
24.0ms
(+ x (* y 0.75))
41.0ms
(/ (* 4.0 (- (+ x (* y 0.75)) z)) y)

simplify56.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0419659
11695507
25001488

prune182.0ms

Filtered
100 candidates to 75 candidates (75.0%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1000100
Fresh000
Picked011
Done011
Total1002102

Merged error: 0b

Counts
102 → 2

regimes69.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
073

end0.0ms

sample590.0ms

Algorithm
intervals
Results
374.0ms10105×body80valid