Details

Time bar (total: 14.9s)

sample32.0ms

Algorithm
intervals
Results
12.0ms361×body80valid

simplify100.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099
1179
2359
3519
4719
5839
6879
done879

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.3b
(- (* x y) (* z t))
5.6b
(/ (- (* x y) (* z t)) a)

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
4×add-exp-log add-cbrt-cube add-log-exp
3×associate-/r* associate-/l*
2×pow1 expm1-log1p-u flip3-- flip-- log1p-expm1-u associate-/l/
1×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))
19.0ms
(/ (- (* x y) (* z t)) a)

series108.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(- (* x y) (* z t))
63.0ms
(/ (- (* x y) (* z t)) a)

simplify2.5s

Counts
54 → 54
Iterations

Useful iterations: done (2.5s)

IterNodesCost
088706
1219679
2687628
32384628
done5002622

prune204.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 5.7b

localize12.0ms

Local error

Found 1 expressions with local error:

5.6b
(/ (fma x (- y) (* t z)) (- a))

rewrite19.0ms

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*
4×neg-mul-1
3×add-exp-log add-cbrt-cube associate-/l*
1×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:
15.0ms
(/ (fma x (- y) (* t z)) (- a))

series93.0ms

Counts
1 → 3
Calls
1 calls:
93.0ms
(/ (fma x (- y) (* t z)) (- a))

simplify2.5s

Counts
60 → 60
Iterations

Useful iterations: 3 (270.0ms)

IterNodesCost
01061066
11811037
2412999
31003998
43123998
done5000998

prune205.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 5.7b

localize11.0ms

Local error

Found 1 expressions with local error:

5.7b
(* (fma x (- y) (* t z)) (/ 1 (- a)))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
34×associate-*r*
32×times-frac
29×add-sqr-sqrt
23×*-un-lft-identity
22×add-cube-cbrt
10×add-exp-log
9×distribute-lft-neg-in distribute-rgt-neg-in
6×add-cbrt-cube
4×prod-exp
3×pow1 neg-mul-1 associate-*l* unswap-sqr
2×div-exp cbrt-unprod
1×cbrt-undiv expm1-log1p-u rec-exp 1-exp associate-*r/ pow-prod-down un-div-inv *-commutative log1p-expm1-u div-inv add-log-exp
Counts
1 → 59
Calls
1 calls:
46.0ms
(* (fma x (- y) (* t z)) (/ 1 (- a)))

series100.0ms

Counts
1 → 3
Calls
1 calls:
100.0ms
(* (fma x (- y) (* t z)) (/ 1 (- a)))

simplify3.0s

Counts
62 → 62
Iterations

Useful iterations: done (3.0s)

IterNodesCost
0128939
1297760
2724676
32340676
done5000670

prune244.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 5.7b

localize12.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ 1 (- (/ a (fma x (- y) (* t z)))))
5.7b
(/ a (fma x (- y) (* t z)))

rewrite49.0ms

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
8×add-exp-log
6×add-cbrt-cube associate-/l*
4×neg-mul-1
3×pow1 div-exp
2×cbrt-undiv expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
1×rec-exp pow-flip 1-exp associate-/r/ distribute-neg-frac inv-pow
Counts
2 → 171
Calls
2 calls:
25.0ms
(/ 1 (- (/ a (fma x (- y) (* t z)))))
5.0ms
(/ a (fma x (- y) (* t z)))

series211.0ms

Counts
2 → 6
Calls
2 calls:
130.0ms
(/ 1 (- (/ a (fma x (- y) (* t z)))))
81.0ms
(/ a (fma x (- y) (* t z)))

simplify3.0s

Counts
177 → 177
Iterations

Useful iterations: 3 (963.0ms)

IterNodesCost
02683719
14793317
28703134
321652980
done50002980

prune470.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 5.7b

regimes362.0ms

Accuracy

0% (0.3b remaining)

Error of 7.3b against oracle of 7.0b and baseline of 7.3b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01010
11110
done1110

end0.0ms

sample1.5s

Algorithm
intervals
Results
654.0ms11147×body80valid