Details

Time bar (total: 5.5s)

sample43.0ms

Algorithm
intervals
Results
19.0ms280×body80valid

simplify52.0ms

Counts
1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.2b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b
(- t (* a z))
9.9b
(/ (- x (* y z)) (- t (* a z)))

rewrite37.0ms

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×flip3-- associate-/r* flip-- associate-/l*
2×pow1 associate-/r/ associate-/l/
1×cbrt-undiv sub-neg frac-2neg diff-log div-sub div-exp clear-num div-inv
Counts
2 → 44
Calls
2 calls:
8.0ms
(- t (* a z))
28.0ms
(/ (- x (* y z)) (- t (* a z)))

series135.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(- t (* a z))
103.0ms
(/ (- x (* y z)) (- t (* a z)))

simplify67.0ms

Counts
50 → 50

prune178.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 9.9b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(- t (* a z))
0.6b
(/ 1 (- t (* a z)))
9.8b
(* (- x (* y z)) (/ 1 (- t (* a z))))

rewrite61.0ms

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-*l* associate-/r* associate-/l* unswap-sqr
2×cbrt-undiv frac-times rec-exp 1-exp associate-*l/ cbrt-unprod div-inv
1×sub-neg pow-flip frac-2neg diff-log associate-*r/ pow-prod-down clear-num un-div-inv *-commutative inv-pow
Counts
3 → 87
Calls
3 calls:
5.0ms
(- t (* a z))
11.0ms
(/ 1 (- t (* a z)))
42.0ms
(* (- x (* y z)) (/ 1 (- t (* a z))))

series176.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(- t (* a z))
66.0ms
(/ 1 (- t (* a z)))
67.0ms
(* (- x (* y z)) (/ 1 (- t (* a z))))

simplify42.0ms

Counts
96 → 96

prune288.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 9.9b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(- t (* a z))
0.3b
(/ 1 (/ (- t (* a z)) (- x (* y z))))
10.0b
(/ (- t (* a z)) (- x (* y z)))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
55×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
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 frac-2neg 1-exp clear-num associate-/l/
1×sub-neg pow-flip diff-log div-sub inv-pow
Counts
3 → 128
Calls
3 calls:
7.0ms
(- t (* a z))
21.0ms
(/ 1 (/ (- t (* a z)) (- x (* y z))))
19.0ms
(/ (- t (* a z)) (- x (* y z)))

series418.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(- t (* a z))
278.0ms
(/ 1 (/ (- t (* a z)) (- x (* y z))))
90.0ms
(/ (- t (* a z)) (- x (* y z)))

simplify59.0ms

Counts
137 → 137

prune464.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 9.9b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b
(- t (* a z))
0.6b
(/ 1 (- t (* a z)))
0.7b
(/ 1 (- x (* y z)))
9.2b
(/ (/ 1 (- t (* a z))) (/ 1 (- x (* y z))))

rewrite142.0ms

Algorithm
rewrite-expression-head
Rules
531×times-frac
244×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
69×associate-/r/
52×add-exp-log
36×div-exp
35×flip3-- flip-- div-inv
21×associate-/r* associate-/l*
20×add-cbrt-cube
10×cbrt-undiv rec-exp 1-exp
6×pow1 add-log-exp
3×frac-2neg clear-num
2×pow-flip inv-pow
1×sub-neg diff-log associate-/l/
Counts
4 → 365
Calls
4 calls:
8.0ms
(- t (* a z))
16.0ms
(/ 1 (- t (* a z)))
16.0ms
(/ 1 (- x (* y z)))
62.0ms
(/ (/ 1 (- t (* a z))) (/ 1 (- x (* y z))))

series434.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(- t (* a z))
58.0ms
(/ 1 (- t (* a z)))
53.0ms
(/ 1 (- x (* y z)))
286.0ms
(/ (/ 1 (- t (* a z))) (/ 1 (- x (* y z))))

simplify62.0ms

Counts
377 → 377

prune1.3s

Pruning

11 alts after pruning (7 fresh and 4 done)

Merged error: 9.9b

regimes308.0ms

Accuracy

0% (0.3b remaining)

Error of 10.7b against oracle of 10.4b and baseline of 10.7b

bsearch0.0ms

simplify46.0ms

end0.0ms

sample1.1s

Algorithm
intervals
Results
501.0ms8704×body80valid