Details

Time bar (total: 6.3s)

sample41.0ms

Algorithm
intervals
Results
16.0ms425×body80valid

simplify41.0ms

Counts
1 → 1
Iterations

Useful iterations: 4 (40.0ms)

IterNodesCost
03810
11189
24289
317639
450028
done50028

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 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)
0.0b
(* (- t 1.0) a)

rewrite29.0ms

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 (- 1.0 y) z (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a)))
6.0ms
(- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a))
0.0ms
(fma b (- (+ y t) 2.0) x)
20.0ms
(* (- t 1.0) a)

series340.0ms

Counts
4 → 12
Calls
4 calls:
175.0ms
(fma (- 1.0 y) z (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a)))
82.0ms
(- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a))
49.0ms
(fma b (- (+ y t) 2.0) x)
35.0ms
(* (- t 1.0) a)

simplify100.0ms

Counts
77 → 77
Iterations

Useful iterations: 3 (94.0ms)

IterNodesCost
0260488
1831429
24460414
35001413
done5001413

prune257.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* (- t 1.0) a)) (cbrt (* (- t 1.0) a)))
0.6b
(cbrt (* (- t 1.0) a))
0.6b
(cbrt (* (- t 1.0) a))
0.6b
(cbrt (* (- t 1.0) a))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*l/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
9×flip3-- pow1/3 flip--
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×expm1-log1p-u frac-times swap-sqr associate-*r* associate-*l* add-cbrt-cube log1p-expm1-u add-log-exp
2×associate-*r/ pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 80
Calls
4 calls:
29.0ms
(* (cbrt (* (- t 1.0) a)) (cbrt (* (- t 1.0) a)))
7.0ms
(cbrt (* (- t 1.0) a))
7.0ms
(cbrt (* (- t 1.0) a))
8.0ms
(cbrt (* (- t 1.0) a))

series498.0ms

Counts
4 → 12
Calls
4 calls:
239.0ms
(* (cbrt (* (- t 1.0) a)) (cbrt (* (- t 1.0) a)))
87.0ms
(cbrt (* (- t 1.0) a))
89.0ms
(cbrt (* (- t 1.0) a))
84.0ms
(cbrt (* (- t 1.0) a))

simplify39.0ms

Counts
92 → 92
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0369876
11139819
25001745
done5001745

prune427.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

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))
0.0b
(* (- t 1.0) a)

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
9×*-un-lft-identity
7×add-cube-cbrt
5×pow1 add-exp-log associate-*l* add-cbrt-cube add-log-exp
3×expm1-log1p-u fma-neg associate-*r* prod-diff log1p-expm1-u
2×flip3-- associate-*l/ flip-- fma-udef
1×sub-neg diff-log pow-prod-down prod-exp associate--l+ *-commutative cbrt-unprod distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 55
Calls
3 calls:
0.0ms
(fma (- 1.0 y) z (- (fma b y (fma b t x)) (* (- t 1.0) a)))
6.0ms
(- (fma b y (fma b t x)) (* (- t 1.0) a))
21.0ms
(* (- t 1.0) a)

series261.0ms

Counts
3 → 9
Calls
3 calls:
149.0ms
(fma (- 1.0 y) z (- (fma b y (fma b t x)) (* (- t 1.0) a)))
79.0ms
(- (fma b y (fma b t x)) (* (- t 1.0) a))
33.0ms
(* (- t 1.0) a)

simplify93.0ms

Counts
64 → 64
Iterations

Useful iterations: 2 (23.0ms)

IterNodesCost
0236394
1782343
24407331
35001331
done5001331

prune193.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- 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))))

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
34×add-sqr-sqrt
24×sqrt-prod
23×pow1
18×*-un-lft-identity
16×add-cube-cbrt sqrt-div
11×associate-*l*
10×sqrt-pow1 pow1/2
9×flip3-- associate-*r* flip--
8×add-exp-log swap-sqr add-cbrt-cube
5×pow-prod-up unswap-sqr
4×expm1-log1p-u frac-times pow-prod-down associate-*l/ log1p-expm1-u add-log-exp
3×pow-sqr
2×rem-sqrt-square associate-*r/ prod-exp *-commutative cbrt-unprod
1×pow2 pow-plus sqrt-unprod rem-square-sqrt distribute-lft-out-- difference-of-squares
Counts
4 → 117
Calls
4 calls:
20.0ms
(* (- t 1.0) a)
7.0ms
(sqrt (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a)))
7.0ms
(sqrt (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a)))
31.0ms
(* (sqrt (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a))) (sqrt (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a))))

series2.1s

Counts
4 → 12
Calls
4 calls:
29.0ms
(* (- t 1.0) a)
984.0ms
(sqrt (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a)))
966.0ms
(sqrt (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a)))
81.0ms
(* (sqrt (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a))) (sqrt (- (fma b (- (+ y t) 2.0) x) (* (- t 1.0) a))))

simplify50.0ms

Counts
129 → 129
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
03721350
113951205
250011164
done50011164

prune359.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes161.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0188
1188
done188

end0.0ms

sample1.1s

Algorithm
intervals
Results
513.0ms12588×body80valid
0.0ms1×body160valid