Details

Time bar (total: 12.0s)

sample23.0ms

Algorithm
intervals
Results
9.0ms345×body80valid

simplify1.2s

Counts
1 → 1
Iterations

Useful iterations: 5 (43.0ms)

IterNodesCost
099
1169
2329
3679
41489
52568
63778
75808
86718
98548
109208
done9208

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- t z) a)
3.1b
(fma (/ (- t z) a) y x)

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt *-un-lft-identity
15×times-frac
12×add-cube-cbrt
5×associate-/l*
4×add-exp-log add-cbrt-cube distribute-lft-out-- difference-of-squares
3×associate-/r*
2×pow1 expm1-log1p-u log1p-expm1-u associate-/l/ add-log-exp
1×cbrt-undiv flip3-- frac-2neg div-sub div-exp clear-num flip-- fma-udef div-inv
Counts
2 → 50
Calls
2 calls:
11.0ms
(/ (- t z) a)
0.0ms
(fma (/ (- t z) a) y x)

series71.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(/ (- t z) a)
45.0ms
(fma (/ (- t z) a) y x)

simplify2.5s

Counts
56 → 56
Iterations

Useful iterations: 4 (845.0ms)

IterNodesCost
095558
1195536
2511500
31641490
44743489
done5000489

prune143.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.3b
(* (- t z) (/ 1 a))
3.1b
(fma (* (- t z) (/ 1 a)) y x)

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
13×*-un-lft-identity associate-*r*
11×add-exp-log times-frac
10×add-cube-cbrt
7×add-cbrt-cube
5×associate-*l*
4×pow1 prod-exp
3×unswap-sqr
2×expm1-log1p-u frac-times flip3-- div-exp associate-*l/ flip-- cbrt-unprod log1p-expm1-u add-log-exp
1×cbrt-undiv rec-exp 1-exp associate-*r/ pow-prod-down un-div-inv *-commutative fma-udef div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 54
Calls
2 calls:
16.0ms
(* (- t z) (/ 1 a))
0.0ms
(fma (* (- t z) (/ 1 a)) y x)

series76.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(* (- t z) (/ 1 a))
50.0ms
(fma (* (- t z) (/ 1 a)) y x)

simplify2.0s

Counts
60 → 60
Iterations

Useful iterations: 3 (570.0ms)

IterNodesCost
0119656
1282544
2973452
33104442
done5000442

prune141.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ a (- t z))
0.4b
(/ 1 (/ a (- t z)))
3.1b
(fma (/ 1 (/ a (- t z))) y x)

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
103×add-sqr-sqrt *-un-lft-identity
71×add-cube-cbrt
26×associate-/r*
16×add-exp-log distribute-lft-out-- difference-of-squares
11×associate-/r/
10×add-cbrt-cube
8×div-exp
6×div-inv associate-/l*
5×flip3-- flip--
4×pow1 cbrt-undiv
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×rec-exp frac-2neg 1-exp clear-num
1×pow-flip fma-udef inv-pow
Counts
3 → 159
Calls
3 calls:
6.0ms
(/ a (- t z))
10.0ms
(/ 1 (/ a (- t z)))
0.0ms
(fma (/ 1 (/ a (- t z))) y x)

series104.0ms

Counts
3 → 9
Calls
3 calls:
27.0ms
(/ a (- t z))
34.0ms
(/ 1 (/ a (- t z)))
43.0ms
(fma (/ 1 (/ a (- t z))) y x)

simplify3.6s

Counts
168 → 168
Iterations

Useful iterations: done (3.6s)

IterNodesCost
02282280
14912003
215971704
339221642
done50001641

prune359.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (- t z) (/ y a)) x)
5.6b
(* (- t z) (/ y a))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*r*
12×*-un-lft-identity
10×add-cube-cbrt times-frac
7×add-exp-log add-cbrt-cube
5×associate-*l*
4×pow1 add-log-exp
2×expm1-log1p-u frac-times flip3-- associate-*l/ prod-exp flip-- cbrt-unprod log1p-expm1-u unswap-sqr
1×cbrt-undiv +-commutative fma-def flip3-+ associate-*r/ div-exp pow-prod-down sum-log *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 54
Calls
2 calls:
9.0ms
(+ (* (- t z) (/ y a)) x)
16.0ms
(* (- t z) (/ y a))

series87.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(+ (* (- t z) (/ y a)) x)
41.0ms
(* (- t z) (/ y a))

simplify485.0ms

Counts
60 → 60
Iterations

Useful iterations: done (483.0ms)

IterNodesCost
0122705
1316653
21201609
done5000577

prune126.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes175.0ms

Accuracy

-2.7% (2.5b remaining)

Error of 2.6b against oracle of 0.0b and baseline of 2.5b

bsearch71.0ms

Steps
ItersRangePoint
8
2.667056467527902e-151
5.525767292787017e-148
6.939075397429748e-149
8
-6.396913838347584e-156
-1.661443646813989e-159
-4.985984929622982e-158

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01936
12628
done2628

end0.0ms

sample620.0ms

Algorithm
intervals
Results
291.0ms10779×body80valid