Details

Time bar (total: 4.9s)

sample19.0ms

Algorithm
intervals
Results
9.0ms310×body80valid

simplify101.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
0226
1506
21244
32804
45344
58694
613974
735214
850014

prune6.0ms

Filtered
1 candidates to 1 candidates (0.0%)
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:

0.1b
(fma 0.75 y (- x z))
0.3b
(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))
50.0ms
(fma (/ 4.0 y) (fma 0.75 y (- x z)) 1.0)

simplify70.0ms

Algorithm
egg-herbie
Counts
26 → 26
Iterations

Useful iterations: 4 (67.0ms)

IterNodesCost
064128
1156108
2566108
33032105
45001102

prune53.0ms

Filtered
26 candidates to 21 candidates (19.2%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New24226
Fresh011
Picked101
Done000
Total25328

Merged error: 0.0b

Counts
28 → 3

localize9.0ms

Local error

Found 3 expressions with local error:

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)

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
72×*-un-lft-identity
50×add-sqr-sqrt
48×times-frac
34×add-cube-cbrt
28×associate-*r*
17×associate-*l*
16×associate-/l*
12×distribute-lft-out--
11×distribute-lft-out
8×add-exp-log add-cbrt-cube
7×add-log-exp
6×fma-def
4×*-commutative difference-of-squares unswap-sqr
3×pow1 expm1-log1p-u associate-/r* log1p-expm1-u
2×cbrt-undiv +-commutative flip3-+ associate-*r/ div-exp sum-log flip-+ associate-/l/
1×flip3-- frac-2neg prod-exp clear-num flip-- cbrt-unprod div-inv
Counts
3 → 120
Calls
3 calls:
23.0ms
(+ 1.0 (/ (* 4.0 (- (+ x (* y 0.75)) z)) y))
6.0ms
(+ x (* y 0.75))
22.0ms
(/ (* 4.0 (- (+ x (* y 0.75)) z)) y)

series94.0ms

Counts
3 → 9
Calls
3 calls:
27.0ms
(+ 1.0 (/ (* 4.0 (- (+ x (* y 0.75)) z)) y))
25.0ms
(+ x (* y 0.75))
42.0ms
(/ (* 4.0 (- (+ x (* y 0.75)) z)) y)

simplify66.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0522981
12174900
25003883

prune218.0ms

Filtered
129 candidates to 96 candidates (25.6%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1272129
Fresh202
Picked011
Done000
Total1293132

Merged error: 0b

Counts
132 → 3

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- 4.0 (* 4.0 (/ z y)))
0.0b
(fma 4.0 (/ x y) (- 4.0 (* 4.0 (/ z y))))
0.0b
(* 4.0 (/ z y))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
95×add-sqr-sqrt
70×*-un-lft-identity
69×prod-diff
66×add-cube-cbrt
52×associate-*r*
41×times-frac
15×associate-*l*
10×unswap-sqr
9×associate-*r/
8×add-exp-log add-cbrt-cube
5×pow1 *-commutative add-log-exp
4×div-inv associate-/l* distribute-lft-out--
3×expm1-log1p-u fma-neg associate-/r* log1p-expm1-u difference-of-squares
2×prod-exp clear-num un-div-inv cbrt-unprod
1×cbrt-undiv sub-neg flip3-- distribute-rgt-out-- frac-2neg diff-log div-exp pow-prod-down flip-- fma-udef
Counts
3 → 148
Calls
3 calls:
13.0ms
(- 4.0 (* 4.0 (/ z y)))
1.0ms
(fma 4.0 (/ x y) (- 4.0 (* 4.0 (/ z y))))
8.0ms
(* 4.0 (/ z y))

series79.0ms

Counts
3 → 9
Calls
3 calls:
28.0ms
(- 4.0 (* 4.0 (/ z y)))
27.0ms
(fma 4.0 (/ x y) (- 4.0 (* 4.0 (/ z y))))
24.0ms
(* 4.0 (/ z y))

simplify93.0ms

Algorithm
egg-herbie
Counts
157 → 157
Iterations

Useful iterations: 2 (75.0ms)

IterNodesCost
06782016
127231438
250011350

prune182.0ms

Filtered
157 candidates to 79 candidates (49.7%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1570157
Fresh011
Picked011
Done011
Total1573160

Merged error: 0b

Counts
160 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 1.0 (/ (sqrt 4.0) (/ (/ y (sqrt 4.0)) (- (fma 0.75 y x) z))))
0.1b
(fma 0.75 y x)
0.1b
(/ (/ y (sqrt 4.0)) (- (fma 0.75 y x) z))
0.2b
(/ (sqrt 4.0) (/ (/ y (sqrt 4.0)) (- (fma 0.75 y x) z)))

rewrite317.0ms

Algorithm
rewrite-expression-head
Rules
2332×times-frac
1334×*-un-lft-identity
1332×add-sqr-sqrt
976×add-cube-cbrt
735×sqrt-prod
178×distribute-lft-out-- difference-of-squares
138×associate-/r*
58×associate-/r/
56×associate-/l*
51×div-inv
24×associate-/l/
18×add-exp-log add-cbrt-cube
9×cbrt-undiv div-exp
8×flip3-- flip--
6×add-log-exp
5×frac-2neg clear-num
4×pow1 expm1-log1p-u log1p-expm1-u
3×fma-def
1×+-commutative flip3-+ sum-log flip-+ fma-udef distribute-lft-out
Counts
4 → 1072
Calls
4 calls:
161.0ms
(+ 1.0 (/ (sqrt 4.0) (/ (/ y (sqrt 4.0)) (- (fma 0.75 y x) z))))
4.0ms
(fma 0.75 y x)
12.0ms
(/ (/ y (sqrt 4.0)) (- (fma 0.75 y x) z))
39.0ms
(/ (sqrt 4.0) (/ (/ y (sqrt 4.0)) (- (fma 0.75 y x) z)))

series880.0ms

Counts
4 → 12
Calls
4 calls:
255.0ms
(+ 1.0 (/ (sqrt 4.0) (/ (/ y (sqrt 4.0)) (- (fma 0.75 y x) z))))
24.0ms
(fma 0.75 y x)
237.0ms
(/ (/ y (sqrt 4.0)) (- (fma 0.75 y x) z))
363.0ms
(/ (sqrt 4.0) (/ (/ y (sqrt 4.0)) (- (fma 0.75 y x) z)))

simplify230.0ms

Algorithm
egg-herbie
Counts
1084 → 1084
Iterations

Useful iterations: 1 (61.0ms)

IterNodesCost
0259617516
1500116904

prune1.6s

Filtered
1084 candidates to 499 candidates (54.0%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New108401084
Fresh000
Picked011
Done022
Total108431087

Merged error: 0b

Counts
1087 → 3

regimes78.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0105
1105

end0.0ms

sample579.0ms

Algorithm
intervals
Results
342.0ms10003×body80valid