Details

Time bar (total: 8.6s)

sample30.0ms

Algorithm
intervals
Results
17.0ms448×body80valid

simplify2.0s

Counts
1 → 1
Iterations

Useful iterations: 7 (281.0ms)

IterNodesCost
01115
12215
25415
39715
417015
530915
661315
7134413
8421413
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)

rewrite11.0ms

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:
2.0ms
(- (* x x) (* z z))
7.0ms
(/ (- (* x x) (* z z)) y)

series81.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(- (* x x) (* z z))
50.0ms
(/ (- (* x x) (* z z)) y)

simplify1.3s

Counts
53 → 53
Iterations

Useful iterations: done (1.3s)

IterNodesCost
089726
1223700
2721630
33433630
done5000629

prune131.0ms

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))

rewrite35.0ms

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:
8.0ms
(/ (- x z) y)
24.0ms
(* (+ z x) (/ (- x z) y))

series80.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(/ (- x z) y)
54.0ms
(* (+ z x) (/ (- x z) y))

simplify617.0ms

Counts
87 → 87
Iterations

Useful iterations: 2 (202.0ms)

IterNodesCost
0132998
1331948
21282874
done5002874

prune187.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite29.0ms

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))
15.0ms
(/ (+ x z) (/ y (- x z)))

series85.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(/ y (- x z))
55.0ms
(/ (+ x z) (/ y (- x z)))

simplify650.0ms

Counts
169 → 169
Iterations

Useful iterations: done (644.0ms)

IterNodesCost
02272852
15152672
219062572
done50002568

prune362.0ms

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)))

rewrite39.0ms

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))))
17.0ms
(* y (/ 1 (- x z)))

series119.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(/ 1 (- x z))
49.0ms
(/ (+ x z) (* y (/ 1 (- x z))))
33.0ms
(* y (/ 1 (- x z)))

simplify1.7s

Counts
125 → 125
Iterations

Useful iterations: 3 (718.0ms)

IterNodesCost
01581356
13981095
21017933
33419924
done5000924

prune212.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes58.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01013
11313
done1313

end0.0ms

sample747.0ms

Algorithm
intervals
Results
462.0ms13783×body80valid