Details

Time bar (total: 7.1s)

sample126.0ms

Algorithm
intervals
Results
14.0ms331×body80valid

simplify68.0ms

Counts
1 → 1

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 1 expressions with local error:

0.0b
(* (+ x y) z)

rewrite170.0ms

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×flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ distribute-lft-out add-log-exp unswap-sqr
Counts
1 → 21
Calls
1 calls:
166.0ms
(* (+ x y) z)

series52.0ms

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

simplify631.0ms

Counts
24 → 24

prune58.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ x y) z)
0.3b
(* (sqrt (* (+ x y) z)) (sqrt (* (+ x y) z)))
2.5b
(sqrt (* (+ x y) z))
2.5b
(sqrt (* (+ x y) z))

rewrite152.0ms

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×frac-times swap-sqr 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 → 104
Calls
4 calls:
27.0ms
(* (+ x y) z)
97.0ms
(* (sqrt (* (+ x y) z)) (sqrt (* (+ x y) z)))
12.0ms
(sqrt (* (+ x y) z))
11.0ms
(sqrt (* (+ x y) z))

series366.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(* (+ x y) z)
35.0ms
(* (sqrt (* (+ x y) z)) (sqrt (* (+ x y) z)))
141.0ms
(sqrt (* (+ x y) z))
162.0ms
(sqrt (* (+ x y) z))

simplify768.0ms

Counts
116 → 116

prune282.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

3.3b
(- (* x x) (* y y))
12.5b
(* (- (* x x) (* y y)) z)
18.5b
(/ (* (- (* x x) (* y y)) z) (- x y))

rewrite102.0ms

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×associate-*r*
2×cbrt-undiv div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/ distribute-lft-out--
1×sub-neg frac-2neg diff-log pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
3 → 63
Calls
3 calls:
15.0ms
(- (* x x) (* y y))
33.0ms
(* (- (* x x) (* y y)) z)
51.0ms
(/ (* (- (* x x) (* y y)) z) (- x y))

series214.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(- (* x x) (* y y))
80.0ms
(* (- (* x x) (* y y)) z)
96.0ms
(/ (* (- (* x x) (* y y)) z) (- x y))

simplify810.0ms

Counts
72 → 72

prune189.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 2 expressions with local error:

3.3b
(- (* x x) (* y y))
33.2b
(/ (- (* x x) (* y y)) (/ (- x y) z))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
151×times-frac
97×add-sqr-sqrt *-un-lft-identity
67×add-cube-cbrt
36×difference-of-squares
19×associate-/r*
15×distribute-lft-out--
7×add-exp-log add-cbrt-cube
6×div-inv
4×associate-/l* add-log-exp
3×cbrt-undiv div-exp
2×pow1 flip3-- flip-- associate-/l/
1×sub-neg frac-2neg diff-log div-sub clear-num associate-/r/
Counts
2 → 130
Calls
2 calls:
8.0ms
(- (* x x) (* y y))
32.0ms
(/ (- (* x x) (* y y)) (/ (- x y) z))

series111.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(- (* x x) (* y y))
73.0ms
(/ (- (* x x) (* y y)) (/ (- x y) z))

simplify1.4s

Counts
136 → 136

prune448.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes97.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify21.0ms

end0.0ms

sample918.0ms

Algorithm
intervals
Results
342.0ms10128×body80valid