Details

Time bar (total: 3.8s)

sample37.0ms

Algorithm
intervals
Results
17.0ms395×body80valid

simplify42.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 4 (40.0ms)

IterNodesCost
03810
11189
24289
317639
450028

prune12.0ms

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

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-log-exp
3×pow1 add-exp-log expm1-log1p-u fma-neg prod-diff add-cbrt-cube fma-udef log1p-expm1-u
1×sub-neg flip3-- diff-log associate--l+ flip--
Counts
3 → 41
Calls
3 calls:
1.0ms
(fma (- 1.0 y) z (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a)))
3.0ms
(- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a))
1.0ms
(fma b (- (+ y t) 2.0) x)

series282.0ms

Counts
3 → 9
Calls
3 calls:
160.0ms
(fma (- 1.0 y) z (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a)))
77.0ms
(- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a))
45.0ms
(fma b (- (+ y t) 2.0) x)

simplify67.0ms

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 3 (61.0ms)

IterNodesCost
0183396
1551345
22672332
35001314

prune159.0ms

Filtered
50 candidates to 43 candidates (86.0%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New48250
Fresh011
Picked101
Done000
Total49352

Merged error: 0.0b

Counts
52 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
28×associate-*l/
23×flip3-- flip--
22×add-sqr-sqrt
21×*-un-lft-identity
18×add-log-exp
14×add-cube-cbrt
12×prod-diff frac-add frac-sub
11×associate-*l*
10×associate-+l+ associate--l+
8×pow1 add-exp-log add-cbrt-cube
6×diff-log associate-*r*
4×expm1-log1p-u sub-neg log1p-expm1-u
3×fma-def fma-neg sum-log distribute-lft-out--
2×pow-prod-down prod-exp *-commutative cbrt-unprod difference-of-squares unswap-sqr
1×+-commutative associate--l- associate-+l- flip3-+ flip-+ distribute-lft-out
Counts
4 → 121
Calls
4 calls:
7.0ms
(- (- x (* (- y 1.0) z)) (* (- t 1.0) a))
13.0ms
(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))
6.0ms
(* (- y 1.0) z)
8.0ms
(* (- (+ y t) 2.0) b)

series296.0ms

Counts
4 → 12
Calls
4 calls:
89.0ms
(- (- x (* (- y 1.0) z)) (* (- t 1.0) a))
150.0ms
(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))
28.0ms
(* (- y 1.0) z)
29.0ms
(* (- (+ y t) 2.0) b)

simplify122.0ms

Algorithm
egg-herbie
Counts
133 → 133
Iterations

Useful iterations: 2 (98.0ms)

IterNodesCost
09251612
147291475
250011472

prune438.0ms

Filtered
133 candidates to 102 candidates (76.7%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1312133
Fresh112
Picked101
Done000
Total1333136

Merged error: 0b

Counts
136 → 3

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma 1 (- x (* (- y 1.0) z)) (- (* a (- t 1.0))))
0.0b
(* (- y 1.0) z)
0.0b
(fma b (- (+ y t) 2.0) (fma (- a) (- t 1.0) (* a (- t 1.0))))
24.3b
(fma (- a) (- t 1.0) (* a (- t 1.0)))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
8×*-un-lft-identity
6×pow1 add-exp-log add-cube-cbrt add-cbrt-cube
5×associate-*l*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-*r* fma-udef
2×associate-*l/
1×flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 54
Calls
4 calls:
1.0ms
(fma 1 (- x (* (- y 1.0) z)) (- (* a (- t 1.0))))
6.0ms
(* (- y 1.0) z)
1.0ms
(fma b (- (+ y t) 2.0) (fma (- a) (- t 1.0) (* a (- t 1.0))))
1.0ms
(fma (- a) (- t 1.0) (* a (- t 1.0)))

series244.0ms

Counts
4 → 12
Calls
4 calls:
107.0ms
(fma 1 (- x (* (- y 1.0) z)) (- (* a (- t 1.0))))
28.0ms
(* (- y 1.0) z)
70.0ms
(fma b (- (+ y t) 2.0) (fma (- a) (- t 1.0) (* a (- t 1.0))))
39.0ms
(fma (- a) (- t 1.0) (* a (- t 1.0)))

simplify64.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 3 (59.0ms)

IterNodesCost
0208408
1640345
22985341
35001332

prune219.0ms

Filtered
66 candidates to 52 candidates (78.8%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New66066
Fresh022
Picked011
Done000
Total66369

Merged error: 0b

Counts
69 → 3

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-log-exp
3×pow1 add-exp-log expm1-log1p-u fma-neg prod-diff add-cbrt-cube fma-udef log1p-expm1-u
1×sub-neg flip3-- diff-log associate--l+ flip--
Counts
3 → 41
Calls
3 calls:
1.0ms
(fma b y (fma b t x))
1.0ms
(fma (- 1.0 y) z (- (fma b y (fma b t x)) (* (- t 1.0) a)))
3.0ms
(- (fma b y (fma b t x)) (* (- t 1.0) a))

series257.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(fma b y (fma b t x))
143.0ms
(fma (- 1.0 y) z (- (fma b y (fma b t x)) (* (- t 1.0) a)))
74.0ms
(- (fma b y (fma b t x)) (* (- t 1.0) a))

simplify89.0ms

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 2 (19.0ms)

IterNodesCost
0169340
1595297
23832287
35001287

prune150.0ms

Filtered
50 candidates to 42 candidates (84.0%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New50050
Fresh011
Picked011
Done011
Total50353

Merged error: 0b

Counts
53 → 3

regimes141.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03116
13316
23316

end0.0ms

sample1.0s

Algorithm
intervals
Results
572.0ms12464×body80valid
0.0ms2×body320valid