Details

Time bar (total: 10.1s)

sample23.0ms

Algorithm
intervals
Results
10.0ms345×body80valid

simplify665.0ms

Counts
1 → 1
Iterations

Useful iterations: 5 (48.0ms)

IterNodesCost
099
1169
2329
3679
41489
52428
63278
73998
84578
95798
105968
done5968

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

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:
8.0ms
(/ (- t z) a)
0.0ms
(fma (/ (- t z) a) y x)

series74.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(/ (- t z) a)
45.0ms
(fma (/ (- t z) a) y x)

simplify1.7s

Counts
56 → 56
Iterations

Useful iterations: 4 (618.0ms)

IterNodesCost
095558
1194536
2432500
31089490
43089489
done5000489

prune152.0ms

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)

rewrite17.0ms

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:
15.0ms
(* (- t z) (/ 1 a))
0.0ms
(fma (* (- t z) (/ 1 a)) y x)

series73.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(* (- t z) (/ 1 a))
48.0ms
(fma (* (- t z) (/ 1 a)) y x)

simplify2.2s

Counts
60 → 60
Iterations

Useful iterations: 3 (852.0ms)

IterNodesCost
0119656
1277526
2728452
32459442
done5000442

prune155.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

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)

rewrite25.0ms

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:
5.0ms
(/ a (- t z))
9.0ms
(/ 1 (/ a (- t z)))
0.0ms
(fma (/ 1 (/ a (- t z))) y x)

series106.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(/ a (- t z))
31.0ms
(/ 1 (/ a (- t z)))
44.0ms
(fma (/ 1 (/ a (- t z))) y x)

simplify1.9s

Counts
168 → 168
Iterations

Useful iterations: done (1.9s)

IterNodesCost
02282280
14791939
29771704
325381642
done50001641

prune326.0ms

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
(+ (/ y (/ a (- t z))) x)
0.0b
(/ a (- t z))
3.6b
(/ y (/ a (- t z)))

rewrite89.0ms

Algorithm
rewrite-expression-head
Rules
246×times-frac
172×*-un-lft-identity
170×add-sqr-sqrt
120×add-cube-cbrt
68×fma-def
26×associate-/r*
25×distribute-lft-out-- difference-of-squares
18×associate-/r/
10×add-exp-log add-cbrt-cube div-inv
8×flip3-- flip--
6×associate-/l*
5×add-log-exp
4×cbrt-undiv div-exp
3×pow1 expm1-log1p-u log1p-expm1-u
2×frac-2neg clear-num
1×+-commutative flip3-+ sum-log flip-+ distribute-lft-out
Counts
3 → 225
Calls
3 calls:
62.0ms
(+ (/ y (/ a (- t z))) x)
5.0ms
(/ a (- t z))
9.0ms
(/ y (/ a (- t z)))

series131.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(+ (/ y (/ a (- t z))) x)
28.0ms
(/ a (- t z))
56.0ms
(/ y (/ a (- t z)))

simplify773.0ms

Counts
234 → 234
Iterations

Useful iterations: 2 (203.0ms)

IterNodesCost
02512339
15592186
218282093
done50002093

prune666.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes300.0ms

Accuracy

2.4% (2.4b remaining)

Error of 2.4b 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
-1.510181967450494e-136
-7.7838102355166905e-140
-1.8095903151115152e-138

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01835
12427
done2427

end0.0ms

sample626.0ms

Algorithm
intervals
Results
309.0ms10779×body80valid