Details

Time bar (total: 4.4s)

sample36.0ms

Algorithm
intervals
Results
17.0ms403×body80valid
0.0msbody1280valid

simplify41.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 4 (39.0ms)

IterNodesCost
03810
11189
24289
317639
450028

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma b (- (+ y t) 2.0) x)
0.0b
(fma (- 1.0 y) z (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a)))
0.0b
(* (- t 1.0) a)
0.0b
(- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
10×*-un-lft-identity
add-cube-cbrt
pow1 add-exp-log add-cbrt-cube add-log-exp
associate-*l*
expm1-log1p-u log1p-expm1-u
fma-neg associate-*r* prod-diff fma-udef
flip3-- associate-*l/ flip--
sub-neg diff-log pow-prod-down prod-exp associate--l+ *-commutative cbrt-unprod distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 65
Calls
4 calls:
0.0ms
(fma b (- (+ y t) 2.0) x)
0.0ms
(fma (- 1.0 y) z (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a)))
13.0ms
(* (- t 1.0) a)
3.0ms
(- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a))

series310.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(fma b (- (+ y t) 2.0) x)
160.0ms
(fma (- 1.0 y) z (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a)))
33.0ms
(* (- t 1.0) a)
72.0ms
(- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a))

simplify100.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 3 (93.0ms)

IterNodesCost
0260488
1859429
24490414
35001413

prune326.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- t 1.0) a)
0.0b
(fma (- 1.0 y) z (+ (* b (- (+ y t) 2.0)) (- x (* (- t 1.0) a))))
0.0b
(- x (* (- t 1.0) a))
0.0b
(* b (- (+ y t) 2.0))

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
43×*-un-lft-identity
32×add-sqr-sqrt
27×prod-diff
24×add-cube-cbrt
15×distribute-rgt-in distribute-lft-in
associate-*r*
pow1 add-exp-log associate-*l* add-cbrt-cube
distribute-lft-out
add-log-exp
expm1-log1p-u log1p-expm1-u
sub-neg flip3-- fma-neg flip-- distribute-lft-out--
associate-*r/ pow-prod-down associate-*l/ prod-exp associate--l+ *-commutative cbrt-unprod difference-of-squares unswap-sqr
diff-log fma-udef
Counts
4 → 109
Calls
4 calls:
19.0ms
(* (- t 1.0) a)
1.0ms
(fma (- 1.0 y) z (+ (* b (- (+ y t) 2.0)) (- x (* (- t 1.0) a))))
5.0ms
(- x (* (- t 1.0) a))
51.0ms
(* b (- (+ y t) 2.0))

series255.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(* (- t 1.0) a)
167.0ms
(fma (- 1.0 y) z (+ (* b (- (+ y t) 2.0)) (- x (* (- t 1.0) a))))
27.0ms
(- x (* (- t 1.0) a))
31.0ms
(* b (- (+ y t) 2.0))

simplify49.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0429881
11658637
25003633

prune325.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* b y) (* b (- t 2.0)))
0.0b
(+ (+ (* b y) (* b (- t 2.0))) (- x (* (- t 1.0) a)))
0.0b
(- x (* (- t 1.0) a))
0.0b
(* b (- t 2.0))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
42×prod-diff
38×add-sqr-sqrt *-un-lft-identity
34×add-cube-cbrt
27×associate-+r+
22×distribute-rgt-in distribute-lft-in
20×add-log-exp
sum-log
pow1 add-exp-log sub-neg add-cbrt-cube
fma-def associate-*r*
expm1-log1p-u flip3-- flip3-+ frac-add flip-- flip-+ log1p-expm1-u
fma-neg diff-log associate-*l* distribute-lft-out
+-commutative associate-*r/
associate-+r- associate-+l+ pow-prod-down prod-exp *-commutative cbrt-unprod distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 135
Calls
4 calls:
6.0ms
(+ (* b y) (* b (- t 2.0)))
16.0ms
(+ (+ (* b y) (* b (- t 2.0))) (- x (* (- t 1.0) a)))
2.0ms
(- x (* (- t 1.0) a))
11.0ms
(* b (- t 2.0))

series193.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(+ (* b y) (* b (- t 2.0)))
95.0ms
(+ (+ (* b y) (* b (- t 2.0))) (- x (* (- t 1.0) a)))
27.0ms
(- x (* (- t 1.0) a))
34.0ms
(* b (- t 2.0))

simplify81.0ms

Algorithm
egg-herbie
Counts
147 → 147
Iterations

Useful iterations: 2 (69.0ms)

IterNodesCost
06521172
12934905
25002893

prune612.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (- 1.0 y) z (+ (* b y) (fma b (- t 2.0) (- x (* (- t 1.0) a)))))
0.0b
(fma b (- t 2.0) (- x (* (- t 1.0) a)))
0.0b
(* (- t 1.0) a)
0.0b
(- x (* (- t 1.0) a))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
10×*-un-lft-identity
add-cube-cbrt
pow1 add-exp-log add-cbrt-cube add-log-exp
associate-*l*
expm1-log1p-u log1p-expm1-u
fma-neg associate-*r* prod-diff
flip3-- associate-*l/ flip-- fma-udef
sub-neg diff-log pow-prod-down prod-exp *-commutative cbrt-unprod distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 64
Calls
4 calls:
0.0ms
(fma (- 1.0 y) z (+ (* b y) (fma b (- t 2.0) (- x (* (- t 1.0) a)))))
0.0ms
(fma b (- t 2.0) (- x (* (- t 1.0) a)))
9.0ms
(* (- t 1.0) a)
3.0ms
(- x (* (- t 1.0) a))

series294.0ms

Counts
4 → 12
Calls
4 calls:
168.0ms
(fma (- 1.0 y) z (+ (* b y) (fma b (- t 2.0) (- x (* (- t 1.0) a)))))
64.0ms
(fma b (- t 2.0) (- x (* (- t 1.0) a)))
30.0ms
(* (- t 1.0) a)
31.0ms
(- x (* (- t 1.0) a))

simplify90.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 3 (84.0ms)

IterNodesCost
0263451
1849387
24109373
35001367

prune277.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

regimes176.0ms

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
0209
1209

end0.0ms

sample959.0ms

Algorithm
intervals
Results
545.0ms12597×body80valid
0.0msbody640valid
0.0msbody1280valid
0.0msbody320valid
0.0msbody160valid