Details

Time bar (total: 16.8s)

sample44.0ms

Algorithm
intervals
Results
15.0ms284×body80valid

simplify1.5s

Counts
1 → 1
Iterations

Useful iterations: 3 (22.0ms)

IterNodesCost
01011
11811
23311
36110
411210
515710
620710
725110
830210
938710
1048510
1155310
1261710
1364510
done64510

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- z a))
4.4b
(fma (/ y (- z a)) (- z t) x)

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt *-un-lft-identity
15×times-frac
12×add-cube-cbrt
5×associate-/r*
4×add-exp-log add-cbrt-cube distribute-lft-out-- difference-of-squares
3×associate-/l*
2×pow1 expm1-log1p-u associate-/r/ log1p-expm1-u add-log-exp
1×cbrt-undiv flip3-- frac-2neg div-exp clear-num flip-- fma-udef div-inv
Counts
2 → 49
Calls
2 calls:
12.0ms
(/ y (- z a))
0.0ms
(fma (/ y (- z a)) (- z t) x)

series229.0ms

Counts
2 → 6
Calls
2 calls:
58.0ms
(/ y (- z a))
171.0ms
(fma (/ y (- z a)) (- z t) x)

simplify2.5s

Counts
55 → 55
Iterations

Useful iterations: 4 (1.1s)

IterNodesCost
092552
1171535
2369495
3790495
42344494
done5000494

prune248.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- z a))
0.2b
(* y (/ 1 (- z a)))
4.4b
(fma (* y (/ 1 (- z a))) (- z t) x)

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
38×*-un-lft-identity
32×times-frac
23×add-cube-cbrt
21×associate-*r*
16×add-exp-log
10×add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
6×pow1
5×associate-/r*
4×div-exp prod-exp associate-/r/
3×expm1-log1p-u associate-*l* log1p-expm1-u associate-/l* add-log-exp unswap-sqr
2×cbrt-undiv rec-exp flip3-- 1-exp flip-- cbrt-unprod div-inv
1×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative fma-udef inv-pow
Counts
3 → 99
Calls
3 calls:
14.0ms
(/ 1 (- z a))
65.0ms
(* y (/ 1 (- z a)))
1.0ms
(fma (* y (/ 1 (- z a))) (- z t) x)

series242.0ms

Counts
3 → 9
Calls
3 calls:
68.0ms
(/ 1 (- z a))
38.0ms
(* y (/ 1 (- z a)))
136.0ms
(fma (* y (/ 1 (- z a))) (- z t) x)

simplify3.1s

Counts
108 → 108
Iterations

Useful iterations: 4 (1.7s)

IterNodesCost
01321057
1282837
2543751
31176751
43318750
done5000750

prune377.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- z a) y)
0.8b
(/ 1 (/ (- z a) y))
4.4b
(fma (/ 1 (/ (- z a) y)) (- z t) x)

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
132×times-frac
101×add-sqr-sqrt *-un-lft-identity
69×add-cube-cbrt
22×associate-/r*
16×add-exp-log distribute-lft-out-- difference-of-squares
10×add-cbrt-cube
8×div-exp associate-/l*
6×div-inv
4×pow1 cbrt-undiv
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×rec-exp frac-2neg 1-exp clear-num associate-/l/
1×flip3-- pow-flip div-sub associate-/r/ flip-- fma-udef inv-pow
Counts
3 → 152
Calls
3 calls:
35.0ms
(/ (- z a) y)
30.0ms
(/ 1 (/ (- z a) y))
1.0ms
(fma (/ 1 (/ (- z a) y)) (- z t) x)

series317.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(/ (- z a) y)
121.0ms
(/ 1 (/ (- z a) y))
150.0ms
(fma (/ 1 (/ (- z a) y)) (- z t) x)

simplify2.5s

Counts
161 → 161
Iterations

Useful iterations: 3 (876.0ms)

IterNodesCost
02102152
14501827
28921582
321731552
done50001552

prune463.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ (- z t) (/ (- z a) y)) x)
0.0b
(/ (- z a) y)
13.5b
(/ (- z t) (/ (- z a) y))

rewrite345.0ms

Algorithm
rewrite-expression-head
Rules
370×times-frac
306×*-un-lft-identity
304×add-sqr-sqrt
152×add-cube-cbrt
100×fma-def
76×distribute-lft-out-- difference-of-squares
22×associate-/r*
14×div-inv
10×add-exp-log add-cbrt-cube associate-/l*
5×add-log-exp
4×cbrt-undiv div-exp associate-/l/
3×pow1 expm1-log1p-u div-sub log1p-expm1-u
2×flip3-- frac-2neg clear-num associate-/r/ flip--
1×+-commutative associate-+l- flip3-+ sum-log flip-+ distribute-lft-out
Counts
3 → 294
Calls
3 calls:
205.0ms
(+ (/ (- z t) (/ (- z a) y)) x)
36.0ms
(/ (- z a) y)
65.0ms
(/ (- z t) (/ (- z a) y))

series366.0ms

Counts
3 → 9
Calls
3 calls:
185.0ms
(+ (/ (- z t) (/ (- z a) y)) x)
36.0ms
(/ (- z a) y)
144.0ms
(/ (- z t) (/ (- z a) y))

simplify1.9s

Counts
303 → 303
Iterations

Useful iterations: done (1.9s)

IterNodesCost
02793442
17733226
225093107
done50003105

prune1.2s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

regimes249.0ms

Accuracy

0% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 0.9b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
01734
11932
done1932

end0.0ms

sample931.0ms

Algorithm
intervals
Results
378.0ms8735×body80valid
0.0ms1×body1280valid
0.0ms1×body160valid