Details

Time bar (total: 11.9s)

sample30.0ms

Algorithm
intervals
Results
13.0ms318×body80valid

simplify102.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1117
2227
3447
4697
5937
61087
71107
done1107

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
9.5b
(/ (* x (- y z)) y)

rewrite66.0ms

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:
26.0ms
(* x (- y z))
37.0ms
(/ (* x (- y z)) y)

series95.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(* x (- y z))
56.0ms
(/ (* x (- y z)) y)

simplify2.9s

Counts
77 → 77
Iterations

Useful iterations: 3 (1.5s)

IterNodesCost
01401001
1300814
2850666
34488624
done5000624

prune121.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- y z))
4.0b
(/ 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:
15.0ms
(/ y (- y z))
22.0ms
(/ x (/ y (- y z)))

series105.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(/ y (- y z))
57.0ms
(/ x (/ y (- y z)))

simplify1.1s

Counts
149 → 149
Iterations

Useful iterations: done (1.1s)

IterNodesCost
02222078
14661939
216351867
done50001858

prune392.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (- y z))
0.2b
(/ 1 (/ (/ y (- y z)) x))
4.0b
(/ (/ y (- y z)) x)

rewrite121.0ms

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:
11.0ms
(/ y (- y z))
38.0ms
(/ 1 (/ (/ y (- y z)) x))
26.0ms
(/ (/ y (- y z)) x)

series207.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(/ y (- y z))
65.0ms
(/ 1 (/ (/ y (- y z)) x))
96.0ms
(/ (/ y (- y z)) x)

simplify2.1s

Counts
450 → 450
Iterations

Useful iterations: done (2.1s)

IterNodesCost
05838515
113447406
226866558
done50006456

prune899.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(- x (/ (* x z) y))
5.9b
(/ (* x z) y)

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
21×prod-diff
20×add-sqr-sqrt *-un-lft-identity
18×add-cube-cbrt
12×times-frac
7×add-exp-log add-cbrt-cube
4×div-inv add-log-exp
3×fma-neg associate-/r*
2×pow1 cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u
1×sub-neg flip3-- frac-2neg diff-log prod-exp clear-num flip-- cbrt-unprod associate-/l* distribute-lft-out-- difference-of-squares
Counts
2 → 63
Calls
2 calls:
10.0ms
(- x (/ (* x z) y))
10.0ms
(/ (* x z) y)

series60.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(- x (/ (* x z) y))
22.0ms
(/ (* x z) y)

simplify2.1s

Counts
69 → 69
Iterations

Useful iterations: done (2.1s)

IterNodesCost
01251264
12961018
2953806
done5000686

prune157.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes114.0ms

Accuracy

21.3% (2.4b remaining)

Error of 2.4b against oracle of 0.0b and baseline of 3.0b

bsearch88.0ms

Steps
ItersRangePoint
9
7.263188613791645e-165
1.5592707620257122e-157
1.5245638983253773e-157
10
-2.643005844706785e-172
-8.55310128042087e-189
-2.580679840002735e-172

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02031
12831
23231
33331
done3331

end0.0ms

sample931.0ms

Algorithm
intervals
Results
416.0ms9593×body80valid