Details

Time bar (total: 20.4s)

sample25.0ms

Algorithm
intervals
Results
12.0ms275×body80valid

simplify1.3s

Counts
1 → 1
Iterations

Useful iterations: 3 (14.0ms)

IterNodesCost
01011
11711
23211
36010
411110
515610
620610
725110
830110
938610
1048410
1155210
1261610
1364410
done64410

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- a t))
2.8b
(fma (/ y (- a t)) (- z t) x)

rewrite15.0ms

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

series309.0ms

Counts
2 → 6
Calls
2 calls:
54.0ms
(/ y (- a t))
254.0ms
(fma (/ y (- a t)) (- z t) x)

simplify1.9s

Counts
55 → 55
Iterations

Useful iterations: 4 (682.0ms)

IterNodesCost
092550
1167533
2348493
3761491
42276490
done5000490

prune255.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 2 expressions with local error:

0.8b
(/ 1 (/ (- a t) y))
2.8b
(fma (/ 1 (/ (- a t) y)) (- z t) x)

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
117×times-frac
82×add-sqr-sqrt *-un-lft-identity
58×add-cube-cbrt
19×associate-/r*
13×add-exp-log
12×distribute-lft-out-- difference-of-squares
7×div-exp add-cbrt-cube
5×div-inv
3×pow1 cbrt-undiv associate-/l*
2×expm1-log1p-u rec-exp 1-exp log1p-expm1-u add-log-exp
1×pow-flip frac-2neg clear-num associate-/r/ fma-udef inv-pow
Counts
2 → 112
Calls
2 calls:
36.0ms
(/ 1 (/ (- a t) y))
1.0ms
(fma (/ 1 (/ (- a t) y)) (- z t) x)

series406.0ms

Counts
2 → 6
Calls
2 calls:
123.0ms
(/ 1 (/ (- a t) y))
282.0ms
(fma (/ 1 (/ (- a t) y)) (- z t) x)

simplify4.2s

Counts
118 → 118
Iterations

Useful iterations: 4 (2.7s)

IterNodesCost
01881734
13961431
27441206
317681174
445771173
done50001173

prune876.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (/ (- z t) (/ (- a t) y)) x)
9.0b
(/ (- z t) (/ (- a t) y))

rewrite318.0ms

Algorithm
rewrite-expression-head
Rules
355×times-frac
287×*-un-lft-identity
285×add-sqr-sqrt
141×add-cube-cbrt
100×fma-def
72×distribute-lft-out-- difference-of-squares
19×associate-/r*
13×div-inv
7×add-exp-log add-cbrt-cube
5×associate-/l*
4×add-log-exp
3×cbrt-undiv div-exp
2×pow1 expm1-log1p-u div-sub associate-/r/ log1p-expm1-u associate-/l/
1×+-commutative associate-+l- flip3-- frac-2neg flip3-+ clear-num sum-log flip-- flip-+ distribute-lft-out
Counts
2 → 254
Calls
2 calls:
247.0ms
(+ (/ (- z t) (/ (- a t) y)) x)
33.0ms
(/ (- z t) (/ (- a t) y))

series354.0ms

Counts
2 → 6
Calls
2 calls:
174.0ms
(+ (/ (- z t) (/ (- a t) y)) x)
180.0ms
(/ (- z t) (/ (- a t) y))

simplify1.9s

Counts
260 → 260
Iterations

Useful iterations: done (1.9s)

IterNodesCost
02583026
17232832
223102733
done50002723

prune1.1s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ (/ (- z t) (- a t)) (/ 1 y)) x)
0.0b
(/ (- z t) (- a t))
3.2b
(/ (/ (- z t) (- a t)) (/ 1 y))

rewrite819.0ms

Algorithm
rewrite-expression-head
Rules
2073×times-frac
1320×*-un-lft-identity
1318×add-sqr-sqrt
754×add-cube-cbrt
408×fma-def
282×distribute-lft-out-- difference-of-squares
93×div-inv
58×associate-/r/
36×associate-/l*
29×flip3-- flip--
27×add-exp-log
18×associate-/r*
17×div-exp add-cbrt-cube
9×cbrt-undiv
5×div-sub add-log-exp
3×pow1 expm1-log1p-u log1p-expm1-u associate-/l/
2×rec-exp frac-2neg 1-exp clear-num
1×+-commutative associate-+l- flip3-+ sum-log flip-+ distribute-lft-out
Counts
3 → 951
Calls
3 calls:
471.0ms
(+ (/ (/ (- z t) (- a t)) (/ 1 y)) x)
49.0ms
(/ (- z t) (- a t))
108.0ms
(/ (/ (- z t) (- a t)) (/ 1 y))

series401.0ms

Counts
3 → 9
Calls
3 calls:
143.0ms
(+ (/ (/ (- z t) (- a t)) (/ 1 y)) x)
74.0ms
(/ (- z t) (- a t))
184.0ms
(/ (/ (- z t) (- a t)) (/ 1 y))

simplify1.5s

Counts
960 → 960
Iterations

Useful iterations: done (1.5s)

IterNodesCost
070913672
1206811433
done500010622

prune3.1s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes342.0ms

Accuracy

87.2% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 1.7b

bsearch2.0ms

simplify5.0ms

Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
02169
12653
done2653

end0.0ms

sample1.2s

Algorithm
intervals
Results
668.0ms8691×body80valid
0.0ms2×body160valid