Details

Time bar (total: 5.6s)

sample27.0ms

Algorithm
intervals
Results
10.0ms269×body80valid

simplify53.0ms

Counts
1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.9b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(- x (* y z))
11.7b
(/ (- x (* y z)) (- t (* a z)))

rewrite47.0ms

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:
9.0ms
(- x (* y z))
36.0ms
(/ (- x (* y z)) (- t (* a z)))

series145.0ms

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

simplify90.0ms

Counts
50 → 50

prune152.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 11.6b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (* y z))
0.7b
(/ 1 (- t (* a z)))
11.1b
(* (- x (* y z)) (/ 1 (- t (* a z))))

rewrite78.0ms

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:
8.0ms
(- x (* y z))
17.0ms
(/ 1 (- t (* a z)))
48.0ms
(* (- x (* y z)) (/ 1 (- t (* a z))))

series167.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(- x (* y z))
57.0ms
(/ 1 (- t (* a z)))
78.0ms
(* (- x (* y z)) (/ 1 (- t (* a z))))

simplify32.0ms

Counts
96 → 96

prune234.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 11.6b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (* y z))
0.4b
(/ 1 (/ (- t (* a z)) (- x (* y z))))
11.6b
(/ (- t (* a z)) (- x (* y z)))

rewrite82.0ms

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:
8.0ms
(- x (* y z))
30.0ms
(/ 1 (/ (- t (* a z)) (- x (* y z))))
36.0ms
(/ (- t (* a z)) (- x (* y z)))

series427.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(- x (* y z))
298.0ms
(/ 1 (/ (- t (* a z)) (- x (* y z))))
97.0ms
(/ (- t (* a z)) (- x (* y z)))

simplify51.0ms

Counts
137 → 137

prune427.0ms

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 11.6b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (* y z))
0.5b
(/ 1 (- x (* y z)))
0.7b
(/ 1 (- t (* a z)))
10.6b
(/ (/ 1 (- t (* a z))) (/ 1 (- x (* y z))))

rewrite137.0ms

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
(- x (* y z))
17.0ms
(/ 1 (- x (* y z)))
16.0ms
(/ 1 (- t (* a z)))
61.0ms
(/ (/ 1 (- t (* a z))) (/ 1 (- x (* y z))))

series478.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(- x (* y z))
57.0ms
(/ 1 (- x (* y z)))
78.0ms
(/ 1 (- t (* a z)))
308.0ms
(/ (/ 1 (- t (* a z))) (/ 1 (- x (* y z))))

simplify105.0ms

Counts
377 → 377

prune1.3s

Pruning

11 alts after pruning (7 fresh and 4 done)

Merged error: 11.6b

regimes333.0ms

Accuracy

0% (0.3b remaining)

Error of 10.9b against oracle of 10.6b and baseline of 10.9b

bsearch0.0ms

simplify49.0ms

end0.0ms

sample1.2s

Algorithm
intervals
Results
490.0ms8682×body80valid