Details

Time bar (total: 30.9s)

sample110.0ms

Algorithm
intervals
Results
51.0ms405×body80valid

simplify3.4s

Counts
1 → 1
Iterations

Useful iterations: 4 (554.0ms)

IterNodesCost
01821
13821
211819
342219
4218818
done500018

prune21.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 2 expressions with local error:

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

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

series477.0ms

Counts
2 → 6
Calls
2 calls:
160.0ms
(fma z (- 1.0 y) (fma a (- 1.0 t) x))
317.0ms
(fma b (- (+ y t) 2.0) (fma z (- 1.0 y) (fma a (- 1.0 t) x)))

simplify784.0ms

Counts
26 → 26
Iterations

Useful iterations: 3 (192.0ms)

IterNodesCost
050444
198437
2237378
3749375
done5001375

prune274.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize66.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (fma b (- (+ y t) 2.0) (fma z (- 1.0 y) (fma a (- 1.0 t) x)))) (cbrt (fma b (- (+ y t) 2.0) (fma z (- 1.0 y) (fma a (- 1.0 t) x)))))
0.5b
(cbrt (fma b (- (+ y t) 2.0) (fma z (- 1.0 y) (fma a (- 1.0 t) x))))
0.5b
(cbrt (fma b (- (+ y t) 2.0) (fma z (- 1.0 y) (fma a (- 1.0 t) x))))
0.5b
(cbrt (fma b (- (+ y t) 2.0) (fma z (- 1.0 y) (fma a (- 1.0 t) x))))

rewrite29.0ms

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

series5.6s

Counts
4 → 12
Calls
4 calls:
3.3s
(* (cbrt (fma b (- (+ y t) 2.0) (fma z (- 1.0 y) (fma a (- 1.0 t) x)))) (cbrt (fma b (- (+ y t) 2.0) (fma z (- 1.0 y) (fma a (- 1.0 t) x)))))
767.0ms
(cbrt (fma b (- (+ y t) 2.0) (fma z (- 1.0 y) (fma a (- 1.0 t) x))))
767.0ms
(cbrt (fma b (- (+ y t) 2.0) (fma z (- 1.0 y) (fma a (- 1.0 t) x))))
784.0ms
(cbrt (fma b (- (+ y t) 2.0) (fma z (- 1.0 y) (fma a (- 1.0 t) x))))

simplify5.3s

Counts
93 → 93
Iterations

Useful iterations: done (5.3s)

IterNodesCost
01233390
13013166
29902878
346382423
done50002420

prune1.1s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize117.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (fma b (- (+ y t) 2.0) (fma z (- 1.0 y) (fma a (- 1.0 t) x))))
0.5b
(cbrt (fma b (- (+ y t) 2.0) (fma z (- 1.0 y) (fma a (- 1.0 t) x))))
0.5b
(cbrt (fma b (- (+ y t) 2.0) (fma z (- 1.0 y) (fma a (- 1.0 t) x))))
0.5b
(cbrt (fma b (- (+ y t) 2.0) (fma z (- 1.0 y) (fma a (- 1.0 t) x))))

rewrite9.0ms

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:
2.0ms
(cbrt (fma b (- (+ y t) 2.0) (fma z (- 1.0 y) (fma a (- 1.0 t) x))))
2.0ms
(cbrt (fma b (- (+ y t) 2.0) (fma z (- 1.0 y) (fma a (- 1.0 t) x))))
2.0ms
(cbrt (fma b (- (+ y t) 2.0) (fma z (- 1.0 y) (fma a (- 1.0 t) x))))
2.0ms
(cbrt (fma b (- (+ y t) 2.0) (fma z (- 1.0 y) (fma a (- 1.0 t) x))))

series3.4s

Counts
4 → 12
Calls
4 calls:
783.0ms
(cbrt (fma b (- (+ y t) 2.0) (fma z (- 1.0 y) (fma a (- 1.0 t) x))))
827.0ms
(cbrt (fma b (- (+ y t) 2.0) (fma z (- 1.0 y) (fma a (- 1.0 t) x))))
887.0ms
(cbrt (fma b (- (+ y t) 2.0) (fma z (- 1.0 y) (fma a (- 1.0 t) x))))
854.0ms
(cbrt (fma b (- (+ y t) 2.0) (fma z (- 1.0 y) (fma a (- 1.0 t) x))))

simplify2.8s

Counts
64 → 64
Iterations

Useful iterations: 4 (1.2s)

IterNodesCost
0661784
11481752
23651588
310401544
446881508
done50001508

prune887.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b
(* t (- b a))
0.0b
(- (* t (- b a)) (* z y))

rewrite95.0ms

Algorithm
rewrite-expression-head
Rules
37×prod-diff
32×add-sqr-sqrt
30×*-un-lft-identity
28×add-cube-cbrt
22×distribute-rgt-in distribute-lft-in associate--l+
5×sub-neg associate-*r*
4×pow1 add-exp-log add-cbrt-cube add-log-exp
3×associate-*l*
2×expm1-log1p-u flip3-- associate-*r/ flip-- log1p-expm1-u
1×fma-neg diff-log pow-prod-down prod-exp *-commutative cbrt-unprod distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 84
Calls
2 calls:
43.0ms
(* t (- b a))
44.0ms
(- (* t (- b a)) (* z y))

series150.0ms

Counts
2 → 6
Calls
2 calls:
58.0ms
(* t (- b a))
92.0ms
(- (* t (- b a)) (* z y))

simplify1.1s

Counts
90 → 90
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01431323
13471045
21251878
done5000850

prune588.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes773.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01518
11618
done1618

end0.0ms

sample3.8s

Algorithm
intervals
Results
2.5s12452×body80valid
1.0ms2×body640valid
1.0ms2×body320valid
1.0ms1×body1280valid
0.0ms2×body160valid