Details

Time bar (total: 14.4s)

sample30.0ms

Algorithm
intervals
Results
10.0ms365×body80valid

simplify71.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099
1179
2359
3519
4719
5839
6879
done879

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.1b

localize10.0ms

Local error

Found 2 expressions with local error:

0.2b
(- (* x y) (* z t))
7.7b
(/ (- (* x y) (* z t)) a)

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
times-frac
add-exp-log add-cbrt-cube add-log-exp
associate-/r* associate-/l*
pow1 expm1-log1p-u flip3-- flip-- log1p-expm1-u associate-/l/
cbrt-undiv sub-neg frac-2neg fma-neg diff-log div-sub div-exp prod-diff clear-num div-inv
Counts
2 → 48
Calls
2 calls:
9.0ms
(- (* x y) (* z t))
22.0ms
(/ (- (* x y) (* z t)) a)

series145.0ms

Counts
2 → 6
Calls
2 calls:
68.0ms
(- (* x y) (* z t))
77.0ms
(/ (- (* x y) (* z t)) a)

simplify2.2s

Counts
54 → 54
Iterations

Useful iterations: done (2.2s)

IterNodesCost
088706
1219679
2687628
32384628
done5002622

prune204.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 7.8b

localize10.0ms

Local error

Found 1 expressions with local error:

7.7b
(/ (fma x (- y) (* t z)) (- a))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
30×times-frac
24×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
12×distribute-lft-neg-in distribute-rgt-neg-in
10×associate-/r*
neg-mul-1
add-exp-log add-cbrt-cube associate-/l*
pow1 cbrt-undiv expm1-log1p-u frac-2neg div-exp clear-num log1p-expm1-u div-inv add-log-exp
Counts
1 → 57
Calls
1 calls:
11.0ms
(/ (fma x (- y) (* t z)) (- a))

series91.0ms

Counts
1 → 3
Calls
1 calls:
91.0ms
(/ (fma x (- y) (* t z)) (- a))

simplify2.3s

Counts
60 → 60
Iterations

Useful iterations: 3 (290.0ms)

IterNodesCost
01061066
11811037
2412999
31003998
43123998
done5000998

prune283.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 7.8b

localize20.0ms

Local error

Found 2 expressions with local error:

0.5b
(/ 1 (- (/ a (fma x (- y) (* t z)))))
7.7b
(/ a (fma x (- y) (* t z)))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
171×times-frac
101×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
52×distribute-lft-neg-in distribute-rgt-neg-in
33×associate-/r*
10×div-inv
add-exp-log
add-cbrt-cube associate-/l*
neg-mul-1
pow1 div-exp
cbrt-undiv expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
rec-exp pow-flip 1-exp associate-/r/ distribute-neg-frac inv-pow
Counts
2 → 171
Calls
2 calls:
34.0ms
(/ 1 (- (/ a (fma x (- y) (* t z)))))
10.0ms
(/ a (fma x (- y) (* t z)))

series190.0ms

Counts
2 → 6
Calls
2 calls:
126.0ms
(/ 1 (- (/ a (fma x (- y) (* t z)))))
64.0ms
(/ a (fma x (- y) (* t z)))

simplify3.0s

Counts
177 → 177
Iterations

Useful iterations: 3 (728.0ms)

IterNodesCost
02683719
14793317
28703134
321652980
done50002980

prune416.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 7.8b

localize19.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ 1 (fma x (- y) (* t z)))
7.9b
(/ (/ 1 (- a)) (/ 1 (fma x (- y) (* t z))))

rewrite122.0ms

Algorithm
rewrite-expression-head
Rules
1186×times-frac
535×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
126×distribute-lft-neg-in distribute-rgt-neg-in
51×div-inv
46×add-exp-log
42×neg-mul-1
37×associate-/l*
34×div-exp
16×associate-/r* add-cbrt-cube
cbrt-undiv rec-exp 1-exp
pow1
expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
pow-flip associate-/r/ associate-/l/ inv-pow
Counts
2 → 556
Calls
2 calls:
11.0ms
(/ 1 (fma x (- y) (* t z)))
42.0ms
(/ (/ 1 (- a)) (/ 1 (fma x (- y) (* t z))))

series216.0ms

Counts
2 → 6
Calls
2 calls:
72.0ms
(/ 1 (fma x (- y) (* t z)))
144.0ms
(/ (/ 1 (- a)) (/ 1 (fma x (- y) (* t z))))

simplify2.7s

Counts
562 → 562
Iterations

Useful iterations: done (2.7s)

IterNodesCost
081817122
1235713485
2338312043
done500011821

prune611.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 7.8b

regimes546.0ms

Accuracy

0% (0.3b remaining)

Error of 7.5b against oracle of 7.2b and baseline of 7.5b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01010
11110
done1110

end0.0ms

sample1.1s

Algorithm
intervals
Results
431.0ms11238×body80valid