Details

Time bar (total: 11.7s)

sample36.0ms

Algorithm
intervals
Results
16.0ms341×body80valid

simplify1.8s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0911
12711
27611
316811
427211
540011
651011
775211
8178511
done500111

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (* z z) (+ z 1.0))
14.6b
(/ (* x y) (* (* z z) (+ z 1.0)))

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
28×add-exp-log add-cbrt-cube
12×prod-exp cbrt-unprod
7×pow1
6×cbrt-undiv div-exp
5×*-un-lft-identity
4×add-sqr-sqrt associate-*r/ associate-*r*
3×add-cube-cbrt pow-prod-down
2×flip3-+ associate-/r/ flip-+ add-log-exp
1×distribute-rgt-in frac-2neg distribute-lft-in times-frac associate-*l* clear-num associate-/r* *-commutative div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
2 → 51
Calls
2 calls:
32.0ms
(* (* z z) (+ z 1.0))
32.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

series157.0ms

Counts
2 → 6
Calls
2 calls:
72.0ms
(* (* z z) (+ z 1.0))
84.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

simplify2.2s

Counts
57 → 57
Iterations

Useful iterations: done (2.2s)

IterNodesCost
0112858
1389794
23604634
done5001626

prune164.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 8.3b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
6.3b
(* (/ x (* z z)) (/ y (+ z 1.0)))
7.8b
(/ x (* z z))

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
38×*-un-lft-identity
34×add-sqr-sqrt times-frac
31×add-exp-log add-cbrt-cube
24×add-cube-cbrt
18×associate-*r*
10×cbrt-undiv div-exp
9×prod-exp cbrt-unprod
7×associate-*l* distribute-lft-out
6×associate-/l*
5×pow1 associate-/r*
4×associate-/r/ div-inv unswap-sqr
3×add-log-exp
2×frac-2neg flip3-+ clear-num flip-+
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
3 → 107
Calls
3 calls:
12.0ms
(/ y (+ z 1.0))
57.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
9.0ms
(/ x (* z z))

series174.0ms

Counts
3 → 9
Calls
3 calls:
54.0ms
(/ y (+ z 1.0))
79.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
41.0ms
(/ x (* z z))

simplify2.2s

Counts
116 → 116
Iterations

Useful iterations: 2 (597.0ms)

IterNodesCost
01801501
15531420
238761238
done50001238

prune254.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
0.9b
(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))
2.6b
(* (/ x z) (/ y (+ z 1.0)))

rewrite143.0ms

Algorithm
rewrite-expression-head
Rules
94×add-exp-log
58×add-cbrt-cube
48×*-un-lft-identity
46×add-sqr-sqrt times-frac
40×prod-exp
34×add-cube-cbrt
31×div-exp
26×associate-*l*
22×cbrt-unprod
19×associate-*r*
18×cbrt-undiv
10×pow1
7×distribute-lft-out
6×frac-times associate-*r/
5×rec-exp 1-exp
4×pow-prod-down associate-*l/ associate-/r* associate-/r/ div-inv unswap-sqr
3×associate-/l* add-log-exp
2×flip3-+ *-commutative flip-+
1×frac-2neg clear-num
Counts
3 → 149
Calls
3 calls:
17.0ms
(/ y (+ z 1.0))
77.0ms
(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))
39.0ms
(* (/ x z) (/ y (+ z 1.0)))

series180.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(/ y (+ z 1.0))
67.0ms
(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))
66.0ms
(* (/ x z) (/ y (+ z 1.0)))

simplify421.0ms

Counts
158 → 158
Iterations

Useful iterations: done (416.0ms)

IterNodesCost
02572420
18322263
done50001841

prune401.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.3b
(/ 1 (/ (+ z 1.0) y))
0.9b
(* (/ 1 z) (* (/ x z) (/ 1 (/ (+ z 1.0) y))))
2.6b
(* (/ x z) (/ 1 (/ (+ z 1.0) y)))

rewrite243.0ms

Algorithm
rewrite-expression-head
Rules
318×add-exp-log
215×times-frac
153×*-un-lft-identity
142×div-exp
140×add-sqr-sqrt
130×prod-exp
107×add-cube-cbrt
94×add-cbrt-cube
54×associate-*r*
37×cbrt-undiv rec-exp 1-exp
32×cbrt-unprod
26×associate-*l*
21×distribute-lft-out
16×associate-/r*
11×pow1 div-inv
10×unswap-sqr
7×frac-times associate-*r/
4×pow-prod-down associate-*l/
3×un-div-inv associate-/l* add-log-exp
2×associate-/r/ *-commutative
1×pow-flip frac-2neg clear-num inv-pow
Counts
3 → 304
Calls
3 calls:
22.0ms
(/ 1 (/ (+ z 1.0) y))
106.0ms
(* (/ 1 z) (* (/ x z) (/ 1 (/ (+ z 1.0) y))))
96.0ms
(* (/ x z) (/ 1 (/ (+ z 1.0) y)))

series141.0ms

Counts
3 → 9
Calls
3 calls:
30.0ms
(/ 1 (/ (+ z 1.0) y))
52.0ms
(* (/ 1 z) (* (/ x z) (/ 1 (/ (+ z 1.0) y))))
58.0ms
(* (/ x z) (/ 1 (/ (+ z 1.0) y)))

simplify756.0ms

Counts
313 → 313
Iterations

Useful iterations: done (747.0ms)

IterNodesCost
04255556
115194663
done50013757

prune683.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

regimes117.0ms

Accuracy

0% (2.6b remaining)

Error of 2.6b against oracle of 0.0b and baseline of 2.6b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01315
11815
done1815

end0.0ms

sample1.4s

Algorithm
intervals
Results
585.0ms10634×body80valid