Details

Time bar (total: 9.1s)

sample24.0ms

Algorithm
intervals
Results
9.0ms365×body80valid

simplify49.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
099
1179
2359
3519
4719
5839
6879
done879

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.7b

localize8.0ms

Local error

Found 2 expressions with local error:

0.4b
(- (* x y) (* z t))
7.1b
(/ (- (* x y) (* z t)) a)

rewrite12.0ms

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:
3.0ms
(- (* x y) (* z t))
8.0ms
(/ (- (* x y) (* z t)) a)

series96.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(- (* x y) (* z t))
51.0ms
(/ (- (* x y) (* z t)) a)

simplify1.1s

Counts
54 → 54
Iterations

Useful iterations: done (1.1s)

IterNodesCost
088706
1216679
2663642
32170628
done5000626

prune195.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 7.4b

localize13.0ms

Local error

Found 2 expressions with local error:

0.3b
(fma x y (- (* z t)))
7.1b
(/ (fma x y (- (* z t))) a)

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
times-frac
add-exp-log add-cbrt-cube
associate-/r* associate-/l*
pow1 expm1-log1p-u log1p-expm1-u add-log-exp
cbrt-undiv frac-2neg div-exp clear-num fma-udef div-inv
Counts
2 → 39
Calls
2 calls:
0.0ms
(fma x y (- (* z t)))
2.0ms
(/ (fma x y (- (* z t))) a)

series106.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(fma x y (- (* z t)))
55.0ms
(/ (fma x y (- (* z t))) a)

simplify1.7s

Counts
45 → 45
Iterations

Useful iterations: 4 (717.0ms)

IterNodesCost
067574
1110565
2258513
3855513
43518512
done5000512

prune164.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 7.4b

localize9.0ms

Local error

Found 2 expressions with local error:

0.3b
(fma x y (- (* z t)))
7.3b
(* (fma x y (- (* z t))) (/ 1 a))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*r*
11×add-exp-log *-un-lft-identity times-frac
10×add-cube-cbrt
add-cbrt-cube
pow1 prod-exp
associate-*l* unswap-sqr
expm1-log1p-u div-exp cbrt-unprod log1p-expm1-u add-log-exp
cbrt-undiv rec-exp 1-exp associate-*r/ pow-prod-down un-div-inv *-commutative fma-udef div-inv
Counts
2 → 48
Calls
2 calls:
0.0ms
(fma x y (- (* z t)))
8.0ms
(* (fma x y (- (* z t))) (/ 1 a))

series101.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(fma x y (- (* z t)))
57.0ms
(* (fma x y (- (* z t))) (/ 1 a))

simplify1.8s

Counts
54 → 54
Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
090704
1201613
2501523
31911523
done5000523

prune171.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 7.4b

localize9.0ms

Local error

Found 3 expressions with local error:

0.3b
(fma x y (- (* z t)))
0.5b
(/ 1 (/ a (fma x y (- (* z t)))))
7.2b
(/ a (fma x y (- (* z t))))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
53×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×add-exp-log associate-/r*
10×add-cbrt-cube
div-exp
div-inv associate-/l*
pow1 cbrt-undiv
expm1-log1p-u log1p-expm1-u add-log-exp
rec-exp frac-2neg 1-exp clear-num
pow-flip associate-/r/ fma-udef inv-pow
Counts
3 → 117
Calls
3 calls:
0.0ms
(fma x y (- (* z t)))
5.0ms
(/ 1 (/ a (fma x y (- (* z t)))))
2.0ms
(/ a (fma x y (- (* z t))))

series197.0ms

Counts
3 → 9
Calls
3 calls:
48.0ms
(fma x y (- (* z t)))
96.0ms
(/ 1 (/ a (fma x y (- (* z t)))))
52.0ms
(/ a (fma x y (- (* z t))))

simplify2.1s

Counts
126 → 126
Iterations

Useful iterations: done (2.1s)

IterNodesCost
01652198
13381984
26641767
318971749
done50001748

prune278.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 7.4b

regimes296.0ms

Accuracy

0% (0.3b remaining)

Error of 7.7b against oracle of 7.4b and baseline of 7.7b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099
1149
2169
done169

end0.0ms

sample637.0ms

Algorithm
intervals
Results
313.0ms11203×body80valid