Details

Time bar (total: 9.5s)

sample16.0ms

Algorithm
intervals
Results
6.0ms306×body80valid

simplify1.9s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
067
1117
2227
3417
4597
5807
6907
73237
819897
done50007

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.1b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
12.4b
(/ (* x (- y z)) y)

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
9×add-exp-log add-cbrt-cube
8×*-un-lft-identity
6×add-cube-cbrt
5×associate-*r*
4×pow1 associate-*r/
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv distribute-rgt-in sub-neg flip3-- distribute-lft-in div-exp prod-exp flip-- cbrt-unprod associate-/l/ add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 49
Calls
2 calls:
10.0ms
(* x (- y z))
6.0ms
(/ (* x (- y z)) y)

series86.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(* x (- y z))
51.0ms
(/ (* x (- y z)) y)

simplify1.0s

Counts
55 → 55
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
090481
1218457
2866399
done5000399

prune91.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- y z))
2.0b
(/ x (/ y (- y z)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
102×add-sqr-sqrt *-un-lft-identity
70×add-cube-cbrt
26×associate-/r*
16×distribute-lft-out-- difference-of-squares
11×associate-/r/
9×add-exp-log add-cbrt-cube
6×div-inv associate-/l*
5×flip3-- flip--
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num add-log-exp
Counts
2 → 139
Calls
2 calls:
5.0ms
(/ y (- y z))
11.0ms
(/ x (/ y (- y z)))

series93.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(/ y (- y z))
47.0ms
(/ x (/ y (- y z)))

simplify1.0s

Counts
145 → 145
Iterations

Useful iterations: 2 (438.0ms)

IterNodesCost
02182050
14731914
218521842
done50001842

prune290.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- y z))
0.2b
(* y (/ 1 (- y z)))
2.0b
(/ x (* y (/ 1 (- y z))))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
46×add-sqr-sqrt
40×*-un-lft-identity
35×times-frac
31×add-exp-log
25×add-cube-cbrt
21×associate-*r*
19×add-cbrt-cube
11×div-exp
8×prod-exp
7×distribute-lft-out-- difference-of-squares
6×pow1 cbrt-undiv associate-/r* associate-/r/ associate-/l*
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--
1×pow-flip pow-prod-down *-commutative inv-pow
Counts
3 → 112
Calls
3 calls:
8.0ms
(/ 1 (- y z))
16.0ms
(* y (/ 1 (- y z)))
8.0ms
(/ x (* y (/ 1 (- y z))))

series126.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(/ 1 (- y z))
46.0ms
(* y (/ 1 (- y z)))
47.0ms
(/ x (* y (/ 1 (- y z))))

simplify1.6s

Counts
121 → 121
Iterations

Useful iterations: done (1.6s)

IterNodesCost
01471215
1349954
21056826
33829824
done5000822

prune170.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (- y z))
0.2b
(/ 1 (/ (/ y (- y z)) x))
2.0b
(/ (/ y (- y z)) x)

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
771×times-frac
439×add-sqr-sqrt *-un-lft-identity
335×add-cube-cbrt
75×associate-/r*
52×distribute-lft-out-- difference-of-squares
35×associate-/r/
31×add-exp-log
27×associate-/l*
23×div-inv
19×div-exp add-cbrt-cube
17×flip3-- flip--
10×cbrt-undiv
4×pow1
3×rec-exp frac-2neg 1-exp clear-num add-log-exp
1×pow-flip associate-/l/ inv-pow
Counts
3 → 435
Calls
3 calls:
5.0ms
(/ y (- y z))
20.0ms
(/ 1 (/ (/ y (- y z)) x))
12.0ms
(/ (/ y (- y z)) x)

series153.0ms

Counts
3 → 9
Calls
3 calls:
44.0ms
(/ y (- y z))
40.0ms
(/ 1 (/ (/ y (- y z)) x))
69.0ms
(/ (/ y (- y z)) x)

simplify1.7s

Counts
444 → 444
Iterations

Useful iterations: 2 (964.0ms)

IterNodesCost
05778467
114197371
236776527
done50006527

prune585.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes78.0ms

Accuracy

20% (2.6b remaining)

Error of 2.6b against oracle of 0.0b and baseline of 3.3b

bsearch50.0ms

Steps
ItersRangePoint
8
1.775018111834674e-305
4.344316390471498e-302
6.940297287083344e-305
8
-8.126614999887732e-115
-1.015716053038489e-118
-4.727842335792455e-115

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01931
12331
done2331

end0.0ms

sample406.0ms

Algorithm
intervals
Results
212.0ms9613×body80valid