Details

Time bar (total: 14.1s)

sample20.0ms

Algorithm
intervals
Results
7.0ms337×body80valid

simplify4.8s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1229
2469
31199
42289
53589
65079
710089
837839
done50019

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.9b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ (- y z) 1.0))
11.1b
(/ (* x (+ (- y z) 1.0)) z)

rewrite116.0ms

Algorithm
rewrite-expression-head
Rules
11×*-un-lft-identity
9×add-exp-log add-cbrt-cube
8×add-sqr-sqrt
6×add-cube-cbrt
5×associate-*r*
4×pow1 associate-*r/
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv expm1-log1p-u flip3-+ div-exp prod-exp cbrt-unprod flip-+ log1p-expm1-u associate-/l/ distribute-lft-out add-log-exp
1×distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down clear-num *-commutative div-inv associate-/l* distribute-lft-out-- unswap-sqr
Counts
2 → 51
Calls
2 calls:
73.0ms
(* x (+ (- y z) 1.0))
41.0ms
(/ (* x (+ (- y z) 1.0)) z)

series81.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(* x (+ (- y z) 1.0))
46.0ms
(/ (* x (+ (- y z) 1.0)) z)

simplify2.3s

Counts
57 → 57
Iterations

Useful iterations: 3 (1.1s)

IterNodesCost
098645
1262625
2923531
34857520
done5000520

prune112.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

2.2b
(* (/ x z) (+ y 1.0))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
13×associate-*l*
11×*-un-lft-identity
10×times-frac
9×add-cube-cbrt
6×add-exp-log add-cbrt-cube
4×associate-*r*
3×pow1
2×frac-times flip3-+ associate-*r/ prod-exp cbrt-unprod flip-+ unswap-sqr
1×cbrt-undiv distribute-rgt-in expm1-log1p-u distribute-lft-in div-exp pow-prod-down associate-*l/ *-commutative log1p-expm1-u div-inv distribute-lft-out add-log-exp
Counts
1 → 41
Calls
1 calls:
29.0ms
(* (/ x z) (+ y 1.0))

series43.0ms

Counts
1 → 3
Calls
1 calls:
43.0ms
(* (/ x z) (+ y 1.0))

simplify2.2s

Counts
44 → 44
Iterations

Useful iterations: 2 (154.0ms)

IterNodesCost
094458
1324436
21038392
33713392
done5000392

prune102.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ z (+ (- y z) 1.0))
2.5b
(/ x (/ z (+ (- y z) 1.0)))

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
150×*-un-lft-identity
138×times-frac
70×add-sqr-sqrt add-cube-cbrt
32×distribute-lft-out
26×associate-/r*
16×distribute-lft-out--
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:
34.0ms
(/ z (+ (- y z) 1.0))
43.0ms
(/ x (/ z (+ (- y z) 1.0)))

series96.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(/ z (+ (- y z) 1.0))
45.0ms
(/ x (/ z (+ (- y z) 1.0)))

simplify859.0ms

Counts
149 → 149
Iterations

Useful iterations: done (854.0ms)

IterNodesCost
02042436
14492269
215122172
done50012149

prune269.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (+ (- y z) 1.0))
0.1b
(* z (/ 1 (+ (- y z) 1.0)))
2.5b
(/ x (* z (/ 1 (+ (- y z) 1.0))))

rewrite146.0ms

Algorithm
rewrite-expression-head
Rules
61×*-un-lft-identity
35×times-frac
32×add-sqr-sqrt
31×add-exp-log
25×add-cube-cbrt
21×associate-*r*
19×add-cbrt-cube
14×distribute-lft-out
11×div-exp
8×prod-exp
7×distribute-lft-out--
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×frac-2neg flip3-+ associate-*r/ clear-num un-div-inv flip-+
1×pow-flip pow-prod-down *-commutative inv-pow
Counts
3 → 118
Calls
3 calls:
35.0ms
(/ 1 (+ (- y z) 1.0))
79.0ms
(* z (/ 1 (+ (- y z) 1.0)))
27.0ms
(/ x (* z (/ 1 (+ (- y z) 1.0))))

series137.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(/ 1 (+ (- y z) 1.0))
48.0ms
(* z (/ 1 (+ (- y z) 1.0)))
48.0ms
(/ x (* z (/ 1 (+ (- y z) 1.0))))

simplify1.9s

Counts
127 → 127
Iterations

Useful iterations: done (1.9s)

IterNodesCost
01571541
13681263
29531086
334351072
done50001070

prune190.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes58.0ms

Accuracy

0% (1.8b remaining)

Error of 1.8b against oracle of 0.0b and baseline of 1.8b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1109
done109

end0.0ms

sample504.0ms

Algorithm
intervals
Results
226.0ms10057×body80valid