Details

Time bar (total: 9.6s)

sample20.0ms

Algorithm
intervals
Results
8.0ms277×body80valid

simplify882.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (9.0ms)

IterNodesCost
01011
11811
23311
36010
410210
514910
619910
723410
828010
937110
1048710
1159310
1274710
1377810
1477910
done77910

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- z a))
2.4b
(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:
10.0ms
(/ y (- z a))
1.0ms
(fma (/ y (- z a)) (- z t) x)

series140.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(/ y (- z a))
110.0ms
(fma (/ y (- z a)) (- z t) x)

simplify1.6s

Counts
55 → 55
Iterations

Useful iterations: 4 (634.0ms)

IterNodesCost
092552
1171535
2402495
31134495
43403494
done5000494

prune142.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- z a) y)
0.4b
(/ 1 (/ (- z a) y))
2.4b
(fma (/ 1 (/ (- z a) y)) (- z t) x)

rewrite27.0ms

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:
9.0ms
(/ (- z a) y)
10.0ms
(/ 1 (/ (- z a) y))
0.0ms
(fma (/ 1 (/ (- z a) y)) (- z t) x)

series184.0ms

Counts
3 → 9
Calls
3 calls:
26.0ms
(/ (- z a) y)
70.0ms
(/ 1 (/ (- z a) y))
88.0ms
(fma (/ 1 (/ (- z a) y)) (- z t) x)

simplify1.7s

Counts
161 → 161
Iterations

Useful iterations: done (1.7s)

IterNodesCost
02102152
14681827
211481582
330301552
done50001550

prune294.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- z a))
0.3b
(/ (/ 1 (- z a)) (/ 1 y))
2.4b
(fma (/ (/ 1 (- z a)) (/ 1 y)) (- z t) x)

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
696×times-frac
385×add-sqr-sqrt *-un-lft-identity
293×add-cube-cbrt
47×add-exp-log
46×distribute-lft-out-- difference-of-squares
38×div-inv
34×div-exp
31×associate-/r/
24×associate-/l*
18×associate-/r*
17×add-cbrt-cube
15×flip3-- flip--
9×cbrt-undiv rec-exp 1-exp
4×pow1
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×frac-2neg clear-num
1×pow-flip fma-udef associate-/l/ inv-pow
Counts
3 → 394
Calls
3 calls:
9.0ms
(/ 1 (- z a))
21.0ms
(/ (/ 1 (- z a)) (/ 1 y))
0.0ms
(fma (/ (/ 1 (- z a)) (/ 1 y)) (- z t) x)

series193.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(/ 1 (- z a))
69.0ms
(/ (/ 1 (- z a)) (/ 1 y))
90.0ms
(fma (/ (/ 1 (- z a)) (/ 1 y)) (- z t) x)

simplify2.4s

Counts
403 → 403
Iterations

Useful iterations: done (2.4s)

IterNodesCost
05508339
116386043
232085175
done50005145

prune398.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- z t))
9.7b
(/ (* y (- z t)) (- z a))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
24×*-un-lft-identity
18×add-cube-cbrt prod-diff
11×distribute-rgt-in distribute-lft-in
9×add-exp-log add-cbrt-cube
5×times-frac associate-*r* associate-/r*
4×pow1 associate-*r/
3×flip3-- associate-*l* flip-- distribute-lft-out-- difference-of-squares
2×cbrt-undiv expm1-log1p-u sub-neg div-exp prod-exp associate-/r/ cbrt-unprod log1p-expm1-u associate-/l/ add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 77
Calls
2 calls:
12.0ms
(* y (- z t))
15.0ms
(/ (* y (- z t)) (- z a))

series106.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(* y (- z t))
66.0ms
(/ (* y (- z t)) (- z a))

simplify678.0ms

Counts
83 → 83
Iterations

Useful iterations: 2 (168.0ms)

IterNodesCost
01571123
1347936
21329754
done5001754

prune157.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes108.0ms

Accuracy

0% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011
11111
done1111

end0.0ms

sample514.0ms

Algorithm
intervals
Results
263.0ms8737×body80valid
0.0ms1×body320valid