Details

Time bar (total: 9.9s)

sample65.0ms

Algorithm
intervals
Results
22.0ms354×body80valid

simplify78.0ms

Counts
1 → 1
Iterations
IterNodes
done89
689
585
471
351
235
117
09

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.2b

localize25.0ms

Local error

Found 2 expressions with local error:

0.5b
(fma (- t) z (* x y))
7.7b
(/ (fma (- t) z (* x y)) a)

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×times-frac
4×add-cbrt-cube add-exp-log
3×associate-/r* associate-/l*
2×expm1-log1p-u pow1 log1p-expm1-u add-log-exp
1×cbrt-undiv clear-num frac-2neg div-exp fma-udef div-inv
Counts
2 → 39
Calls
2 calls:
0.0ms
(fma (- t) z (* x y))
7.0ms
(/ (fma (- t) z (* x y)) a)

series161.0ms

Counts
2 → 6
Calls
2 calls:
78.0ms
(fma (- t) z (* x y))
84.0ms
(/ (fma (- t) z (* x y)) a)

simplify948.0ms

Counts
45 → 45
Iterations
IterNodes
done5001
31444
2266
1112
067

prune404.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 7.9b

localize23.0ms

Local error

Found 2 expressions with local error:

0.5b
(fma (- t) z (* x y))
7.8b
(* (fma (- t) z (* x y)) (/ 1 a))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*r*
11×*-un-lft-identity times-frac add-exp-log
10×add-cube-cbrt
7×add-cbrt-cube
4×pow1 prod-exp
3×associate-*l* unswap-sqr
2×expm1-log1p-u div-exp cbrt-unprod log1p-expm1-u add-log-exp
1×cbrt-undiv rec-exp 1-exp pow-prod-down associate-*r/ un-div-inv *-commutative fma-udef div-inv
Counts
2 → 48
Calls
2 calls:
0.0ms
(fma (- t) z (* x y))
15.0ms
(* (fma (- t) z (* x y)) (/ 1 a))

series148.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(fma (- t) z (* x y))
97.0ms
(* (fma (- t) z (* x y)) (/ 1 a))

simplify912.0ms

Counts
54 → 54
Iterations
IterNodes
done5000
21125
1205
090

prune315.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 7.9b

localize16.0ms

Local error

Found 3 expressions with local error:

0.5b
(fma z (- t) (* x y))
0.5b
(/ 1 (/ a (fma z (- t) (* x y))))
7.7b
(/ a (fma z (- t) (* x y)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
53×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
16×associate-/r* add-exp-log
10×add-cbrt-cube
8×div-exp
6×div-inv associate-/l*
4×pow1 cbrt-undiv
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×rec-exp clear-num frac-2neg 1-exp
1×associate-/r/ fma-udef pow-flip inv-pow
Counts
3 → 117
Calls
3 calls:
0.0ms
(fma z (- t) (* x y))
9.0ms
(/ 1 (/ a (fma z (- t) (* x y))))
4.0ms
(/ a (fma z (- t) (* x y)))

series204.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(fma z (- t) (* x y))
100.0ms
(/ 1 (/ a (fma z (- t) (* x y))))
54.0ms
(/ a (fma z (- t) (* x y)))

simplify1.0s

Counts
126 → 126
Iterations
IterNodes
done5002
21838
1386
0165

prune706.0ms

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 7.8b

localize31.0ms

Local error

Found 3 expressions with local error:

0.5b
(fma z (- t) (* x y))
0.7b
(/ 1 (fma z (- t) (* x y)))
7.0b
(/ (/ 1 a) (/ 1 (fma z (- t) (* x y))))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
430×times-frac
207×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
47×add-exp-log
34×div-exp
30×div-inv
17×add-cbrt-cube
16×associate-/r* associate-/l*
9×cbrt-undiv rec-exp 1-exp
4×pow1
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×clear-num frac-2neg
1×associate-/r/ fma-udef pow-flip inv-pow associate-/l/
Counts
3 → 272
Calls
3 calls:
0.0ms
(fma z (- t) (* x y))
6.0ms
(/ 1 (fma z (- t) (* x y)))
22.0ms
(/ (/ 1 a) (/ 1 (fma z (- t) (* x y))))

series230.0ms

Counts
3 → 9
Calls
3 calls:
61.0ms
(fma z (- t) (* x y))
53.0ms
(/ 1 (fma z (- t) (* x y)))
116.0ms
(/ (/ 1 a) (/ 1 (fma z (- t) (* x y))))

simplify610.0ms

Counts
281 → 281
Iterations
IterNodes
done5001
11327
0402

prune970.0ms

Pruning

12 alts after pruning (8 fresh and 4 done)

Merged error: 7.8b

regimes853.0ms

Accuracy

0% (0.3b remaining)

Error of 7.3b against oracle of 7.0b and baseline of 7.3b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done10
110
09

end0.0ms

sample2.1s

Algorithm
intervals
Results
1.1s11185×body80valid