Details

Time bar (total: 11.7s)

sample71.0ms

Algorithm
intervals
Results
9.0ms331×body80valid

simplify16.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
055
175
2155
3195
done195

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 1 expressions with local error:

0.0b
(* (+ x y) z)

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt *-un-lft-identity
4×associate-*l*
3×pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube
2×associate-*l/
1×expm1-log1p-u flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ log1p-expm1-u distribute-lft-out add-log-exp unswap-sqr
Counts
1 → 23
Calls
1 calls:
34.0ms
(* (+ x y) z)

series57.0ms

Counts
1 → 3
Calls
1 calls:
56.0ms
(* (+ x y) z)

simplify4.3s

Counts
26 → 26
Iterations

Useful iterations: 2 (80.0ms)

IterNodesCost
047190
1111185
2377163
31143163
44461163
done5000163

prune59.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 3 expressions with local error:

3.7b
(- (* x x) (* y y))
8.6b
(* (- (* x x) (* y y)) z)
19.1b
(/ (* (- (* x x) (* y y)) z) (- x y))

rewrite128.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
11×*-un-lft-identity
10×add-exp-log add-cbrt-cube
7×add-cube-cbrt
5×pow1 times-frac associate-/r* add-log-exp
4×flip3-- associate-*l* associate-*l/ flip-- difference-of-squares
3×expm1-log1p-u associate-*r* log1p-expm1-u
2×cbrt-undiv div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/ distribute-lft-out--
1×sub-neg frac-2neg fma-neg diff-log prod-diff pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
3 → 71
Calls
3 calls:
13.0ms
(- (* x x) (* y y))
61.0ms
(* (- (* x x) (* y y)) z)
52.0ms
(/ (* (- (* x x) (* y y)) z) (- x y))

series232.0ms

Counts
3 → 9
Calls
3 calls:
58.0ms
(- (* x x) (* y y))
90.0ms
(* (- (* x x) (* y y)) z)
84.0ms
(/ (* (- (* x x) (* y y)) z) (- x y))

simplify1.6s

Counts
80 → 80
Iterations

Useful iterations: done (1.6s)

IterNodesCost
01221094
13091052
21304894
done5000878

prune241.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ x y) z)
0.2b
(* (sqrt (* (+ x y) z)) (sqrt (* (+ x y) z)))
4.4b
(sqrt (* (+ x y) z))
4.4b
(sqrt (* (+ x y) z))

rewrite158.0ms

Algorithm
rewrite-expression-head
Rules
61×pow1
32×sqrt-pow1
23×pow-prod-down
20×associate-*l/
16×sqrt-div
14×add-sqr-sqrt
12×*-un-lft-identity pow1/2
10×add-cube-cbrt pow-prod-up
9×flip3-+ flip-+
8×add-exp-log associate-*l* add-cbrt-cube
7×associate-*r*
6×sqrt-prod pow-sqr
4×expm1-log1p-u frac-times swap-sqr log1p-expm1-u add-log-exp
2×associate-*r/ prod-exp *-commutative cbrt-unprod unswap-sqr
1×pow2 pow-plus sqrt-unprod rem-square-sqrt distribute-lft-out
Counts
4 → 112
Calls
4 calls:
43.0ms
(* (+ x y) z)
82.0ms
(* (sqrt (* (+ x y) z)) (sqrt (* (+ x y) z)))
13.0ms
(sqrt (* (+ x y) z))
16.0ms
(sqrt (* (+ x y) z))

series369.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(* (+ x y) z)
49.0ms
(* (sqrt (* (+ x y) z)) (sqrt (* (+ x y) z)))
146.0ms
(sqrt (* (+ x y) z))
132.0ms
(sqrt (* (+ x y) z))

simplify3.3s

Counts
124 → 124
Iterations

Useful iterations: done (3.2s)

IterNodesCost
01281416
12701049
2860961
33021917
done5001905

prune283.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes105.0ms

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
175
done75

end0.0ms

sample797.0ms

Algorithm
intervals
Results
407.0ms10074×body80valid