Details

Time bar (total: 14.6s)

sample22.0ms

Algorithm
intervals
Results
8.0ms296×body80valid

simplify131.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1117
2227
3447
4697
5937
61087
71107
done1107

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.2b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
11.6b
(/ (* x (- y z)) y)

rewrite108.0ms

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:
58.0ms
(* x (- y z))
45.0ms
(/ (* x (- y z)) y)

series158.0ms

Counts
2 → 6
Calls
2 calls:
64.0ms
(* x (- y z))
94.0ms
(/ (* x (- y z)) y)

simplify3.7s

Counts
77 → 77
Iterations

Useful iterations: 3 (1.9s)

IterNodesCost
01401001
1300814
2850666
34488624
done5000624

prune166.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- y z))
2.2b
(/ x (/ y (- y z)))

rewrite45.0ms

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:
18.0ms
(/ y (- y z))
19.0ms
(/ x (/ y (- y z)))

series116.0ms

Counts
2 → 6
Calls
2 calls:
56.0ms
(/ y (- y z))
59.0ms
(/ x (/ y (- y z)))

simplify1.4s

Counts
149 → 149
Iterations

Useful iterations: done (1.4s)

IterNodesCost
02222078
14661939
216351867
done50001858

prune420.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (- y z))
0.2b
(/ 1 (/ (/ y (- y z)) x))
2.2b
(/ (/ y (- y z)) x)

rewrite114.0ms

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:
12.0ms
(/ y (- y z))
44.0ms
(/ 1 (/ (/ y (- y z)) x))
28.0ms
(/ (/ y (- y z)) x)

series197.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(/ y (- y z))
60.0ms
(/ 1 (/ (/ y (- y z)) x))
84.0ms
(/ (/ y (- y z)) x)

simplify2.0s

Counts
450 → 450
Iterations

Useful iterations: done (2.0s)

IterNodesCost
05838515
113447406
226866558
done50006456

prune714.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 1 expressions with local error:

2.4b
(* x (- 1 (/ z y)))

rewrite115.0ms

Algorithm
rewrite-expression-head
Rules
81×add-sqr-sqrt
78×prod-diff
75×*-un-lft-identity
71×add-cube-cbrt
56×times-frac
41×distribute-rgt-in distribute-lft-in
8×associate-*r*
6×div-inv
4×difference-of-squares
3×pow1 add-exp-log associate-*l* add-cbrt-cube
2×sub-neg associate-*r/
1×expm1-log1p-u flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod log1p-expm1-u distribute-lft-out-- add-log-exp unswap-sqr
Counts
1 → 109
Calls
1 calls:
96.0ms
(* x (- 1 (/ z y)))

series44.0ms

Counts
1 → 3
Calls
1 calls:
43.0ms
(* x (- 1 (/ z y)))

simplify3.9s

Counts
112 → 112
Iterations

Useful iterations: 3 (2.2s)

IterNodesCost
02813690
15252973
211922063
343381626
done50001626

prune99.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes136.0ms

Accuracy

0.8% (3.3b remaining)

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

bsearch93.0ms

Steps
ItersRangePoint
9
5.880464060528115e-180
9.010268004118385e-175
5.9978497399435e-177
9
-7.0611022110516705e-236
-2.751809256330958e-243
-2.9971458750474447e-240

simplify10.0ms

Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
01730
12724
23124
33424
done3424

end0.0ms

sample879.0ms

Algorithm
intervals
Results
379.0ms9627×body80valid