Details

Time bar (total: 10.5s)

sample15.0ms

Algorithm
intervals
Results
5.0ms292×body80valid

simplify8.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
055
185
2125
3155
4165
done165

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.8b

localize4.0ms

Local error

Found 1 expressions with local error:

4.6b
(/ (* x y) z)

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
6×add-exp-log add-cbrt-cube
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac associate-/r*
2×cbrt-undiv div-exp
1×pow1 expm1-log1p-u frac-2neg prod-exp clear-num cbrt-unprod log1p-expm1-u div-inv associate-/l* add-log-exp
Counts
1 → 23
Calls
1 calls:
4.0ms
(/ (* x y) z)

series22.0ms

Counts
1 → 3
Calls
1 calls:
22.0ms
(/ (* x y) z)

simplify892.0ms

Counts
26 → 26
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
050198
1119191
2474161
32155161
done5000161

prune61.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

4.7b
(* (* x y) (/ 1 z))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log
13×associate-*r* add-cbrt-cube
12×prod-exp
9×times-frac
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×pow1 cbrt-unprod
4×div-exp
3×pow-prod-down
2×cbrt-undiv rec-exp 1-exp
1×expm1-log1p-u associate-*r/ associate-*l* un-div-inv *-commutative log1p-expm1-u div-inv add-log-exp
Counts
1 → 40
Calls
1 calls:
14.0ms
(* (* x y) (/ 1 z))

series21.0ms

Counts
1 → 3
Calls
1 calls:
21.0ms
(* (* x y) (/ 1 z))

simplify3.6s

Counts
43 → 43
Iterations

Useful iterations: 2 (98.0ms)

IterNodesCost
085427
1250336
21040250
34010250
done5001250

prune73.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ 1 (/ z (* x y)))
4.6b
(/ z (* x y))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
28×add-exp-log
20×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×add-cbrt-cube
14×div-exp
8×associate-/r*
7×cbrt-undiv
6×div-inv associate-/l*
4×prod-exp
3×pow1 rec-exp 1-exp
2×expm1-log1p-u frac-2neg clear-num cbrt-unprod log1p-expm1-u add-log-exp
1×pow-flip associate-/r/ inv-pow
Counts
2 → 81
Calls
2 calls:
7.0ms
(/ 1 (/ z (* x y)))
3.0ms
(/ z (* x y))

series43.0ms

Counts
2 → 6
Calls
2 calls:
22.0ms
(/ 1 (/ z (* x y)))
21.0ms
(/ z (* x y))

simplify4.2s

Counts
87 → 87
Iterations

Useful iterations: 3 (1.2s)

IterNodesCost
0122894
1283791
21139631
34773613
done5000613

prune122.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize4.0ms

Local error

Found 1 expressions with local error:

5.3b
(/ x (/ z y))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
43×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
13×associate-/r*
6×add-exp-log add-cbrt-cube
5×div-inv
3×cbrt-undiv div-exp associate-/l*
1×pow1 expm1-log1p-u frac-2neg clear-num associate-/r/ log1p-expm1-u add-log-exp
Counts
1 → 72
Calls
1 calls:
5.0ms
(/ x (/ z y))

series23.0ms

Counts
1 → 3
Calls
1 calls:
23.0ms
(/ x (/ z y))

simplify544.0ms

Counts
75 → 75
Iterations

Useful iterations: done (542.0ms)

IterNodesCost
0152892
1330825
21307785
done5000783

prune172.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes173.0ms

Accuracy

91.9% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 6.4b

bsearch1.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02353
12853
done2853

end0.0ms

sample389.0ms

Algorithm
intervals
Results
178.0ms9579×body80valid