Details

Time bar (total: 16.0s)

sample32.0ms

Algorithm
intervals
Results
14.0ms272×body80valid

simplify466.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010205
119205
238205
352205
480205
5108205
6205205
7631205
done5000205

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.8b

localize23.0ms

Local error

Found 2 expressions with local error:

0.0b
(- t (* a z))
7.5b
(/ (- x (* y z)) (- t (* a z)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×times-frac
4×add-cbrt-cube add-exp-log add-log-exp
3×associate-/r* flip3-- flip-- associate-/l*
2×pow1 associate-/r/ associate-/l/
1×cbrt-undiv clear-num sub-neg frac-2neg diff-log div-sub div-exp div-inv
Counts
2 → 44
Calls
2 calls:
4.0ms
(- t (* a z))
22.0ms
(/ (- x (* y z)) (- t (* a z)))

series143.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(- t (* a z))
92.0ms
(/ (- x (* y z)) (- t (* a z)))

simplify2.5s

Counts
50 → 50
Iterations

Useful iterations: 2 (208.0ms)

IterNodesCost
08513931
122612986
284212906
3465712906
done500012906

prune279.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 7.5b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b
(- t (* a z))
0.2b
(/ 1 (- t (* a z)))
7.7b
(* (- x (* y z)) (/ 1 (- t (* a z))))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
20×*-un-lft-identity times-frac
19×add-cube-cbrt
16×add-exp-log
15×associate-*r*
10×add-cbrt-cube
6×pow1
5×flip3-- flip-- add-log-exp
4×div-exp prod-exp associate-/r/
3×associate-/r* associate-*l* associate-/l* unswap-sqr
2×frac-times cbrt-undiv rec-exp 1-exp associate-*l/ cbrt-unprod div-inv
1×clear-num sub-neg frac-2neg diff-log pow-prod-down associate-*r/ un-div-inv *-commutative pow-flip inv-pow
Counts
3 → 87
Calls
3 calls:
6.0ms
(- t (* a z))
12.0ms
(/ 1 (- t (* a z)))
48.0ms
(* (- x (* y z)) (/ 1 (- t (* a z))))

series217.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(- t (* a z))
71.0ms
(/ 1 (- t (* a z)))
97.0ms
(* (- x (* y z)) (/ 1 (- t (* a z))))

simplify3.2s

Counts
96 → 96
Iterations

Useful iterations: done (3.2s)

IterNodesCost
012725867
134221335
2252920228
done500120027

prune492.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 7.5b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b
(- t (* a z))
0.4b
(/ 1 (/ (- t (* a z)) (- x (* y z))))
7.5b
(/ (- t (* a z)) (- x (* y z)))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
55×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
18×associate-/r*
16×add-exp-log
11×associate-/r/
10×add-cbrt-cube
8×div-exp
7×flip3-- flip--
6×div-inv associate-/l*
5×add-log-exp
4×pow1 cbrt-undiv
2×rec-exp clear-num frac-2neg 1-exp associate-/l/
1×sub-neg diff-log div-sub pow-flip inv-pow
Counts
3 → 128
Calls
3 calls:
4.0ms
(- t (* a z))
19.0ms
(/ 1 (/ (- t (* a z)) (- x (* y z))))
20.0ms
(/ (- t (* a z)) (- x (* y z)))

series420.0ms

Counts
3 → 9
Calls
3 calls:
48.0ms
(- t (* a z))
297.0ms
(/ 1 (/ (- t (* a z)) (- x (* y z))))
75.0ms
(/ (- t (* a z)) (- x (* y z)))

simplify1.6s

Counts
137 → 137
Iterations

Useful iterations: done (1.6s)

IterNodesCost
019756349
154147310
2309747150
done500146337

prune615.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 7.5b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(- t (* a z))
0.2b
(/ 1 (- t (* a z)))
0.3b
(/ 1 (- x (* y z)))
7.5b
(/ (/ 1 (- t (* a z))) (/ 1 (- x (* y z))))

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
531×times-frac
244×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
69×associate-/r/
52×add-exp-log
36×div-exp
35×flip3-- div-inv flip--
21×associate-/r* associate-/l*
20×add-cbrt-cube
10×cbrt-undiv rec-exp 1-exp
6×pow1 add-log-exp
3×clear-num frac-2neg
2×pow-flip inv-pow
1×sub-neg diff-log associate-/l/
Counts
4 → 365
Calls
4 calls:
4.0ms
(- t (* a z))
8.0ms
(/ 1 (- t (* a z)))
14.0ms
(/ 1 (- x (* y z)))
34.0ms
(/ (/ 1 (- t (* a z))) (/ 1 (- x (* y z))))

series429.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(- t (* a z))
72.0ms
(/ 1 (- t (* a z)))
63.0ms
(/ 1 (- x (* y z)))
261.0ms
(/ (/ 1 (- t (* a z))) (/ 1 (- x (* y z))))

simplify1.7s

Counts
377 → 377
Iterations

Useful iterations: done (1.6s)

IterNodesCost
0529230069
11873175358
done5001168815

prune1.4s

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 7.5b

regimes750.0ms

Accuracy

0% (0.3b remaining)

Error of 11.0b against oracle of 10.7b and baseline of 11.0b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
010205
112205
done12205

end0.0ms

sample1.4s

Algorithm
intervals
Results
570.0ms8734×body80valid