Details

Time bar (total: 21.8s)

sample64.0ms

Algorithm
intervals
Results
15.0ms212×body80valid
9.0ms28×body1280valid
8.0ms29×body640valid
3.0ms17×body320valid
3.0ms8×body2560valid
2.0ms17×body160valid

simplify10.8s

Counts
1 → 1
Iterations

Useful iterations: 5 (785.0ms)

IterNodesCost
0915
12313
27511
32029
44377
57695
616645
done50015

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(* y (- x z))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
18×prod-diff
17×*-un-lft-identity
15×add-cube-cbrt
11×distribute-rgt-in distribute-lft-in
5×associate-*r*
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 difference-of-squares unswap-sqr
Counts
1 → 46
Calls
1 calls:
30.0ms
(* y (- x z))

series53.0ms

Counts
1 → 3
Calls
1 calls:
52.0ms
(* y (- x z))

simplify1.7s

Counts
49 → 49
Iterations

Useful iterations: done (1.7s)

IterNodesCost
0102721
1192548
2415438
31735396
done5001342

prune109.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

4.5b
(- (* x x) (* z z))
8.4b
(* y (- (* x x) (* z z)))
20.6b
(/ (* y (- (* x x) (* z z))) (+ x z))

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
11×*-un-lft-identity
10×add-exp-log add-cbrt-cube
9×add-sqr-sqrt
7×add-cube-cbrt
5×pow1 add-log-exp
4×times-frac associate-*r/ associate-*r* associate-/r*
3×distribute-rgt-in expm1-log1p-u sub-neg flip3-- distribute-lft-in associate-*l* prod-diff flip-- log1p-expm1-u
2×cbrt-undiv div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/ distribute-lft-out difference-of-squares
1×frac-2neg flip3-+ fma-neg diff-log pow-prod-down clear-num *-commutative flip-+ div-inv associate-/l* unswap-sqr
Counts
3 → 75
Calls
3 calls:
11.0ms
(- (* x x) (* z z))
29.0ms
(* y (- (* x x) (* z z)))
34.0ms
(/ (* y (- (* x x) (* z z))) (+ x z))

series268.0ms

Counts
3 → 9
Calls
3 calls:
54.0ms
(- (* x x) (* z z))
121.0ms
(* y (- (* x x) (* z z)))
92.0ms
(/ (* y (- (* x x) (* z z))) (+ x z))

simplify1.3s

Counts
84 → 84
Iterations

Useful iterations: done (1.3s)

IterNodesCost
01221145
13141096
21157927
done5000831

prune325.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (sqrt y) (- x z))
0.2b
(* (sqrt y) (* (sqrt y) (- x z)))

rewrite128.0ms

Algorithm
rewrite-expression-head
Rules
55×distribute-rgt-in distribute-lft-in
54×prod-diff
49×add-sqr-sqrt
45×*-un-lft-identity
43×add-cube-cbrt
12×associate-*l*
9×pow1 add-exp-log add-cbrt-cube
7×sqrt-prod
6×sub-neg associate-*r/ associate-*r*
4×pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u flip3-- *-commutative flip-- log1p-expm1-u add-log-exp unswap-sqr
1×distribute-lft-out-- difference-of-squares
Counts
2 → 119
Calls
2 calls:
43.0ms
(* (sqrt y) (- x z))
78.0ms
(* (sqrt y) (* (sqrt y) (- x z)))

series175.0ms

Counts
2 → 6
Calls
2 calls:
104.0ms
(* (sqrt y) (- x z))
70.0ms
(* (sqrt y) (* (sqrt y) (- x z)))

simplify4.5s

Counts
125 → 125
Iterations

Useful iterations: 3 (2.6s)

IterNodesCost
02032593
13971627
210881295
344331159
done50001159

prune199.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes54.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055
165
done65

end0.0ms

sample2.1s

Algorithm
intervals
Results
750.0ms7079×body80valid
359.0ms952×body1280valid
216.0ms922×body640valid
106.0ms608×body320valid
77.0ms209×body2560valid
43.0ms341×body160valid