Details

Time bar (total: 21.1s)

sample44.0ms

Algorithm
intervals
Results
19.0ms256×body80valid

simplify3.8s

Counts
1 → 1
Iterations

Useful iterations: 6 (1.8s)

IterNodesCost
01317
12617
26117
314717
435217
576815
6260113
done500013

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.1b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ y (fma (/ t z) (- (/ y 2.0)) z)))
1.3b
(fma (/ t z) (- (/ y 2.0)) z)
5.5b
(/ y (fma (/ t z) (- (/ y 2.0)) z))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
51×add-sqr-sqrt
48×*-un-lft-identity
46×add-cube-cbrt
39×prod-diff
37×times-frac
5×add-exp-log add-cbrt-cube add-log-exp
4×div-inv
3×pow1 expm1-log1p-u fma-neg associate-/r* log1p-expm1-u associate-/l*
2×difference-of-squares
1×cbrt-undiv sub-neg flip3-- frac-2neg diff-log div-exp clear-num flip-- fma-udef distribute-lft-out--
Counts
3 → 98
Calls
3 calls:
32.0ms
(- x (/ y (fma (/ t z) (- (/ y 2.0)) z)))
0.0ms
(fma (/ t z) (- (/ y 2.0)) z)
8.0ms
(/ y (fma (/ t z) (- (/ y 2.0)) z))

series243.0ms

Counts
3 → 9
Calls
3 calls:
79.0ms
(- x (/ y (fma (/ t z) (- (/ y 2.0)) z)))
66.0ms
(fma (/ t z) (- (/ y 2.0)) z)
97.0ms
(/ y (fma (/ t z) (- (/ y 2.0)) z))

simplify2.8s

Counts
107 → 107
Iterations

Useful iterations: 3 (1.3s)

IterNodesCost
01874444
14153973
210512947
337252300
done50012300

prune331.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 1.1b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ y (fma (/ t z) (- (/ y 2.0)) z)))
1.3b
(fma (/ t z) (- (/ y 2.0)) z)
5.5b
(/ y (fma (/ t z) (- (/ y 2.0)) z))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
51×add-sqr-sqrt
48×*-un-lft-identity
46×add-cube-cbrt
39×prod-diff
37×times-frac
5×add-exp-log add-cbrt-cube add-log-exp
4×div-inv
3×pow1 expm1-log1p-u fma-neg associate-/r* log1p-expm1-u associate-/l*
2×difference-of-squares
1×cbrt-undiv sub-neg flip3-- frac-2neg diff-log div-exp clear-num flip-- fma-udef distribute-lft-out--
Counts
3 → 98
Calls
3 calls:
23.0ms
(- x (/ y (fma (/ t z) (- (/ y 2.0)) z)))
0.0ms
(fma (/ t z) (- (/ y 2.0)) z)
5.0ms
(/ y (fma (/ t z) (- (/ y 2.0)) z))

series224.0ms

Counts
3 → 9
Calls
3 calls:
61.0ms
(- x (/ y (fma (/ t z) (- (/ y 2.0)) z)))
56.0ms
(fma (/ t z) (- (/ y 2.0)) z)
107.0ms
(/ y (fma (/ t z) (- (/ y 2.0)) z))

simplify3.2s

Counts
107 → 107
Iterations

Useful iterations: 3 (1.5s)

IterNodesCost
01874444
14153973
210512947
337252300
done50012300

prune368.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 1.1b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (* y (/ 1 (fma (/ t z) (- (/ y 2.0)) z))))
0.3b
(/ 1 (fma (/ t z) (- (/ y 2.0)) z))
1.3b
(fma (/ t z) (- (/ y 2.0)) z)
5.3b
(* y (/ 1 (fma (/ t z) (- (/ y 2.0)) z)))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt
23×*-un-lft-identity
22×add-cube-cbrt
20×times-frac
17×add-exp-log
13×associate-*r*
11×add-cbrt-cube
7×pow1
6×add-log-exp
4×expm1-log1p-u div-exp prod-exp log1p-expm1-u
3×fma-neg associate-*l* prod-diff associate-/r* associate-/l* unswap-sqr
2×cbrt-undiv rec-exp 1-exp cbrt-unprod div-inv
1×sub-neg flip3-- pow-flip frac-2neg diff-log associate-*r/ pow-prod-down clear-num un-div-inv *-commutative flip-- fma-udef inv-pow
Counts
4 → 101
Calls
4 calls:
7.0ms
(- x (* y (/ 1 (fma (/ t z) (- (/ y 2.0)) z))))
6.0ms
(/ 1 (fma (/ t z) (- (/ y 2.0)) z))
0.0ms
(fma (/ t z) (- (/ y 2.0)) z)
17.0ms
(* y (/ 1 (fma (/ t z) (- (/ y 2.0)) z)))

series495.0ms

Counts
4 → 12
Calls
4 calls:
71.0ms
(- x (* y (/ 1 (fma (/ t z) (- (/ y 2.0)) z))))
246.0ms
(/ 1 (fma (/ t z) (- (/ y 2.0)) z))
86.0ms
(fma (/ t z) (- (/ y 2.0)) z)
90.0ms
(* y (/ 1 (fma (/ t z) (- (/ y 2.0)) z)))

simplify4.7s

Counts
113 → 113
Iterations

Useful iterations: 4 (3.0s)

IterNodesCost
01371911
12871670
26201492
316481487
447481439
done50001439

prune415.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 1.1b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
1.6b
(- (* (* z 2.0) z) (* y t))
23.7b
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

rewrite255.0ms

Algorithm
rewrite-expression-head
Rules
28×prod-diff
23×add-sqr-sqrt *-un-lft-identity
21×add-cube-cbrt
12×add-exp-log times-frac add-cbrt-cube
8×associate-/r/
7×add-log-exp
6×flip3-- flip--
4×fma-neg div-inv
3×pow1 cbrt-undiv expm1-log1p-u div-exp prod-exp associate-/r* cbrt-unprod log1p-expm1-u
2×sub-neg diff-log
1×frac-2neg clear-num associate-/l* distribute-lft-out-- difference-of-squares
Counts
3 → 89
Calls
3 calls:
108.0ms
(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
45.0ms
(- (* (* z 2.0) z) (* y t))
96.0ms
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

series537.0ms

Counts
3 → 9
Calls
3 calls:
164.0ms
(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
52.0ms
(- (* (* z 2.0) z) (* y t))
321.0ms
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

simplify1.5s

Counts
98 → 98
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01884116
14993487
220292777
done50012741

prune393.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 1.1b

regimes210.0ms

Accuracy

0% (0.6b remaining)

Error of 1.2b against oracle of 0.7b and baseline of 1.2b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
01315
11813
done1813

end0.0ms

sample1.4s

Algorithm
intervals
Results
843.0ms8000×body80valid