Details

Time bar (total: 10.6s)

sample16.0ms

Algorithm
intervals
Results
6.0ms306×body80valid

simplify2.1s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
067
1117
2227
3437
4677
5927
61227
73907
822997
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)

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt
20×*-un-lft-identity
18×add-cube-cbrt prod-diff
11×distribute-rgt-in distribute-lft-in
9×add-exp-log add-cbrt-cube
5×associate-*r*
4×pow1 associate-*r/
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv expm1-log1p-u sub-neg flip3-- div-exp prod-exp flip-- cbrt-unprod log1p-expm1-u 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 → 71
Calls
2 calls:
12.0ms
(* x (- y z))
11.0ms
(/ (* x (- y z)) y)

series97.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(* x (- y z))
59.0ms
(/ (* x (- y z)) y)

simplify705.0ms

Counts
77 → 77
Iterations

Useful iterations: 2 (106.0ms)

IterNodesCost
01401001
1306814
21335648
done5001648

prune136.0ms

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 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
Counts
2 → 143
Calls
2 calls:
6.0ms
(/ y (- y z))
10.0ms
(/ x (/ y (- y z)))

series106.0ms

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

simplify775.0ms

Counts
149 → 149
Iterations

Useful iterations: 2 (171.0ms)

IterNodesCost
02222078
14891939
222031867
done50001867

prune366.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize7.0ms

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×expm1-log1p-u rec-exp 1-exp associate-*l* log1p-expm1-u 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 → 118
Calls
3 calls:
6.0ms
(/ 1 (- y z))
17.0ms
(* y (/ 1 (- y z)))
8.0ms
(/ x (* y (/ 1 (- y z))))

series147.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(/ 1 (- y z))
47.0ms
(* y (/ 1 (- y z)))
58.0ms
(/ x (* y (/ 1 (- y z))))

simplify3.4s

Counts
127 → 127
Iterations

Useful iterations: 3 (966.0ms)

IterNodesCost
01531263
13651038
21349866
34666864
done5000864

prune221.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize7.0ms

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)

rewrite80.0ms

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×expm1-log1p-u rec-exp frac-2neg 1-exp clear-num log1p-expm1-u add-log-exp
1×pow-flip associate-/l/ inv-pow
Counts
3 → 441
Calls
3 calls:
6.0ms
(/ y (- y z))
27.0ms
(/ 1 (/ (/ y (- y z)) x))
14.0ms
(/ (/ y (- y z)) x)

series192.0ms

Counts
3 → 9
Calls
3 calls:
55.0ms
(/ y (- y z))
51.0ms
(/ 1 (/ (/ y (- y z)) x))
86.0ms
(/ (/ y (- y z)) x)

simplify728.0ms

Counts
450 → 450
Iterations

Useful iterations: done (712.0ms)

IterNodesCost
05838515
114447574
done50006658

prune789.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes98.0ms

Accuracy

20% (2.6b remaining)

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

bsearch67.0ms

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

sample409.0ms

Algorithm
intervals
Results
214.0ms9613×body80valid