Details

Time bar (total: 14.9s)

sample42.0ms

Algorithm
intervals
Results
17.0ms273×body80valid

simplify4.3s

Counts
1 → 1
Iterations

Useful iterations: 3 (12.0ms)

IterNodesCost
01011
11811
23311
36110
411610
519010
628010
737710
867110
9125710
10367910
done500010

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- z a))
2.6b
(fma (/ y (- z a)) (- z t) x)

rewrite28.0ms

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:
24.0ms
(/ y (- z a))
1.0ms
(fma (/ y (- z a)) (- z t) x)

series211.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(/ y (- z a))
159.0ms
(fma (/ y (- z a)) (- z t) x)

simplify961.0ms

Counts
55 → 55
Iterations

Useful iterations: 2 (89.0ms)

IterNodesCost
092552
1177535
2458495
31646495
done5000495

prune259.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- z a))
0.2b
(* y (/ 1 (- z a)))
2.6b
(fma (* y (/ 1 (- z a))) (- z t) x)

rewrite64.0ms

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))
46.0ms
(* y (/ 1 (- z a)))
1.0ms
(fma (* y (/ 1 (- z a))) (- z t) x)

series232.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(/ 1 (- z a))
41.0ms
(* y (/ 1 (- z a)))
146.0ms
(fma (* y (/ 1 (- z a))) (- z t) x)

simplify771.0ms

Counts
108 → 108
Iterations

Useful iterations: done (767.0ms)

IterNodesCost
01321057
1310916
21129757
done5001755

prune397.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- z a) y)
0.4b
(/ 1 (/ (- z a) y))
2.6b
(fma (/ 1 (/ (- z a) y)) (- z t) x)

rewrite66.0ms

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:
30.0ms
(/ (- z a) y)
21.0ms
(/ 1 (/ (- z a) y))
0.0ms
(fma (/ 1 (/ (- z a) y)) (- z t) x)

series287.0ms

Counts
3 → 9
Calls
3 calls:
56.0ms
(/ (- z a) y)
95.0ms
(/ 1 (/ (- z a) y))
135.0ms
(fma (/ 1 (/ (- z a) y)) (- z t) x)

simplify1.7s

Counts
161 → 161
Iterations

Useful iterations: done (1.7s)

IterNodesCost
02102152
15241827
225501737
done50001552

prune490.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z a) y)
13.0b
(/ (- z t) (/ (- z a) y))

rewrite108.0ms

Algorithm
rewrite-expression-head
Rules
200×times-frac
170×add-sqr-sqrt *-un-lft-identity
86×add-cube-cbrt
42×distribute-lft-out-- difference-of-squares
22×associate-/r*
10×associate-/l*
9×add-exp-log add-cbrt-cube
8×div-inv
4×cbrt-undiv div-exp associate-/l/
2×pow1 expm1-log1p-u flip3-- frac-2neg div-sub clear-num flip-- log1p-expm1-u add-log-exp
1×associate-/r/
Counts
2 → 179
Calls
2 calls:
37.0ms
(/ (- z a) y)
59.0ms
(/ (- z t) (/ (- z a) y))

series651.0ms

Counts
2 → 6
Calls
2 calls:
476.0ms
(/ (- z a) y)
175.0ms
(/ (- z t) (/ (- z a) y))

simplify2.0s

Counts
185 → 185
Iterations

Useful iterations: done (2.0s)

IterNodesCost
02513162
17943006
239182870
done50022866

prune812.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes180.0ms

Accuracy

0% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 1.4b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011
11211
done1211

end0.0ms

sample1.3s

Algorithm
intervals
Results
550.0ms8727×body80valid
0.0ms1×body2560valid