Details

Time bar (total: 8.1s)

sample71.0ms

Algorithm
intervals
Results
50.0ms405×body80valid

simplify42.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 4 (41.0ms)

IterNodesCost
03810
11189
24289
317639
450028

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

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))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
10×*-un-lft-identity
8×add-cube-cbrt
6×pow1 add-exp-log add-cbrt-cube add-log-exp
5×associate-*l*
4×expm1-log1p-u log1p-expm1-u
3×fma-neg associate-*r* prod-diff fma-udef
2×flip3-- associate-*l/ flip--
1×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)))
10.0ms
(* (- t 1.0) a)
3.0ms
(- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a))

series325.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(fma b (- (+ y t) 2.0) x)
166.0ms
(fma (- 1.0 y) z (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a)))
29.0ms
(* (- t 1.0) a)
80.0ms
(- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a))

simplify104.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 3 (97.0ms)

IterNodesCost
0260488
1859429
24490414
35001413

prune283.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt a) (cbrt a))
0.6b
(cbrt a)
0.6b
(cbrt a)
0.6b
(cbrt a)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
6.0ms
(* (cbrt a) (cbrt a))
0.0ms
(cbrt a)
0.0ms
(cbrt a)
1.0ms
(cbrt a)

series751.0ms

Counts
4 → 12
Calls
4 calls:
207.0ms
(* (cbrt a) (cbrt a))
180.0ms
(cbrt a)
180.0ms
(cbrt a)
184.0ms
(cbrt a)

simplify92.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (86.0ms)

IterNodesCost
0119308
1477281
22972258
35001255

prune515.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
0.6b
(cbrt a)
0.6b
(cbrt a)
0.6b
(cbrt a)

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 52
Calls
4 calls:
0.0ms
(cbrt a)
0.0ms
(cbrt a)
0.0ms
(cbrt a)
1.0ms
(cbrt a)

series712.0ms

Counts
4 → 12
Calls
4 calls:
187.0ms
(cbrt a)
172.0ms
(cbrt a)
175.0ms
(cbrt a)
177.0ms
(cbrt a)

simplify128.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
042172
183160
2195152
3699152
44132152
55001152

prune331.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a))
0.0b
(sqrt (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a)))
0.0b
(sqrt (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a)))
0.3b
(* (sqrt (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a))) (sqrt (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a))))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt
24×sqrt-prod
21×pow1
16×add-cube-cbrt *-un-lft-identity sqrt-div
10×sqrt-pow1 pow1/2
9×flip3-- flip--
8×swap-sqr
6×add-exp-log associate-*r* associate-*l* add-cbrt-cube add-log-exp
5×pow-prod-up
4×expm1-log1p-u frac-times log1p-expm1-u unswap-sqr
3×fma-neg prod-diff pow-prod-down pow-sqr
2×rem-sqrt-square associate-*r/ associate-*l/
1×pow2 sub-neg pow-plus sqrt-unprod diff-log prod-exp associate--l+ rem-square-sqrt *-commutative cbrt-unprod fma-udef
Counts
4 → 114
Calls
4 calls:
5.0ms
(- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a))
4.0ms
(sqrt (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a)))
4.0ms
(sqrt (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a)))
15.0ms
(* (sqrt (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a))) (sqrt (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a))))

series2.0s

Counts
4 → 12
Calls
4 calls:
77.0ms
(- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a))
947.0ms
(sqrt (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a)))
942.0ms
(sqrt (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a)))
71.0ms
(* (sqrt (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a))) (sqrt (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a))))

simplify48.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
03271427
111691287
250011230

prune379.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes205.0ms

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
0188
1188

end0.0ms

sample1.9s

Algorithm
intervals
Results
1.5s12470×body80valid
1.0ms2×body640valid
1.0ms2×body1280valid
0.0ms1×body320valid
0.0ms1×body160valid