Details

Time bar (total: 7.3s)

sample27.0ms

Algorithm
intervals
Results
15.0ms448×body80valid

simplify769.0ms

Counts
1 → 1
Iterations

Useful iterations: 7 (248.0ms)

IterNodesCost
01115
12215
25415
39715
417015
530915
661315
7134413
done500013

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 12.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.7b
(- (* x x) (* z z))
12.1b
(/ (- (* x x) (* z z)) y)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
12×times-frac
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
5×difference-of-squares
4×add-exp-log add-cbrt-cube associate-/l* add-log-exp
3×associate-/r*
2×pow1 flip3-- flip-- associate-/l/
1×cbrt-undiv sub-neg frac-2neg diff-log div-sub div-exp clear-num div-inv
Counts
2 → 47
Calls
2 calls:
3.0ms
(- (* x x) (* z z))
8.0ms
(/ (- (* x x) (* z z)) y)

series82.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(- (* x x) (* z z))
51.0ms
(/ (- (* x x) (* z z)) y)

simplify1.9s

Counts
53 → 53
Iterations

Useful iterations: 2 (73.0ms)

IterNodesCost
089726
1223700
2763630
34527630
done5000630

prune128.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x z) y)
0.2b
(* (+ z x) (/ (- x z) y))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
38×*-un-lft-identity
31×times-frac
22×add-cube-cbrt
19×associate-*r*
9×add-exp-log add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×associate-/l*
4×pow1 associate-*l*
3×associate-/r*
2×cbrt-undiv frac-times flip3-+ div-exp associate-*l/ prod-exp cbrt-unprod flip-+ div-inv associate-/l/ add-log-exp unswap-sqr
1×flip3-- frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative flip-- distribute-lft-out
Counts
2 → 81
Calls
2 calls:
7.0ms
(/ (- x z) y)
23.0ms
(* (+ z x) (/ (- x z) y))

series80.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(/ (- x z) y)
54.0ms
(* (+ z x) (/ (- x z) y))

simplify625.0ms

Counts
87 → 87
Iterations

Useful iterations: 2 (137.0ms)

IterNodesCost
0132998
1331948
21324874
done5001874

prune192.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- x z))
0.2b
(/ (+ x z) (/ y (- x z)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
174×times-frac
161×*-un-lft-identity
117×add-sqr-sqrt
79×add-cube-cbrt
26×associate-/r*
22×distribute-lft-out
19×distribute-lft-out-- difference-of-squares
13×associate-/r/
9×add-exp-log add-cbrt-cube
7×div-inv associate-/l*
6×flip3-- flip--
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num associate-/l/ add-log-exp
1×flip3-+ flip-+
Counts
2 → 163
Calls
2 calls:
5.0ms
(/ y (- x z))
16.0ms
(/ (+ x z) (/ y (- x z)))

series81.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(/ y (- x z))
53.0ms
(/ (+ x z) (/ y (- x z)))

simplify852.0ms

Counts
169 → 169
Iterations

Useful iterations: 2 (225.0ms)

IterNodesCost
02272852
15152672
221802572
done50002572

prune344.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- x z))
0.2b
(/ (+ x z) (* y (/ 1 (- x z))))
0.3b
(* y (/ 1 (- x z)))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
46×add-sqr-sqrt
44×*-un-lft-identity
36×times-frac
31×add-exp-log
25×add-cube-cbrt
21×associate-*r*
19×add-cbrt-cube
11×div-exp
8×prod-exp
7×associate-/l* distribute-lft-out-- difference-of-squares
6×pow1 cbrt-undiv associate-/r* associate-/r/
4×cbrt-unprod
3×rec-exp 1-exp associate-*l* div-inv add-log-exp unswap-sqr
2×flip3-- frac-2neg associate-*r/ clear-num un-div-inv flip-- associate-/l/ distribute-lft-out
1×pow-flip flip3-+ pow-prod-down *-commutative flip-+ inv-pow
Counts
3 → 116
Calls
3 calls:
5.0ms
(/ 1 (- x z))
13.0ms
(/ (+ x z) (* y (/ 1 (- x z))))
19.0ms
(* y (/ 1 (- x z)))

series116.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(/ 1 (- x z))
53.0ms
(/ (+ x z) (* y (/ 1 (- x z))))
29.0ms
(* y (/ 1 (- x z)))

simplify701.0ms

Counts
125 → 125
Iterations

Useful iterations: done (698.0ms)

IterNodesCost
01581356
13981095
21339933
done5000931

prune398.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes55.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01013
11313
done1313

end0.0ms

sample771.0ms

Algorithm
intervals
Results
482.0ms13783×body80valid