Details

Time bar (total: 13.9s)

sample103.0ms

Algorithm
intervals
Results
14.0ms339×body80valid

simplify18.0ms

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

localize37.0ms

Local error

Found 1 expressions with local error:

0.0b
(* (+ x y) z)

rewrite28.0ms

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:
26.0ms
(* (+ x y) z)

series33.0ms

Counts
1 → 3
Calls
1 calls:
33.0ms
(* (+ x y) z)

simplify4.5s

Counts
26 → 26
Iterations

Useful iterations: 2 (120.0ms)

IterNodesCost
047190
1111185
2377163
31143163
44461163
done5000163

prune72.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ x y))
0.0b
(sqrt (+ x y))
0.1b
(* (sqrt (+ x y)) z)
0.2b
(* (sqrt (+ x y)) (* (sqrt (+ x y)) z))

rewrite99.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
19×*-un-lft-identity
18×sqrt-div
17×sqrt-prod
14×associate-*l*
13×pow1
11×add-exp-log add-cube-cbrt add-cbrt-cube
10×associate-*l/
9×flip3-+ flip-+
4×expm1-log1p-u frac-times associate-*r* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u distribute-lft-out add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-*r/ *-commutative hypot-def unswap-sqr
Counts
4 → 97
Calls
4 calls:
8.0ms
(sqrt (+ x y))
8.0ms
(sqrt (+ x y))
24.0ms
(* (sqrt (+ x y)) z)
56.0ms
(* (sqrt (+ x y)) (* (sqrt (+ x y)) z))

series285.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(sqrt (+ x y))
68.0ms
(sqrt (+ x y))
103.0ms
(* (sqrt (+ x y)) z)
68.0ms
(* (sqrt (+ x y)) (* (sqrt (+ x y)) z))

simplify2.9s

Counts
109 → 109
Iterations

Useful iterations: done (2.9s)

IterNodesCost
01351237
1334991
2881895
32344867
done5001858

prune340.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ x y) z)
0.2b
(* (sqrt (* (+ x y) z)) (sqrt (* (+ x y) z)))
2.6b
(sqrt (* (+ x y) z))
2.6b
(sqrt (* (+ x y) z))

rewrite149.0ms

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:
22.0ms
(* (+ x y) z)
97.0ms
(* (sqrt (* (+ x y) z)) (sqrt (* (+ x y) z)))
15.0ms
(sqrt (* (+ x y) z))
8.0ms
(sqrt (* (+ x y) z))

series355.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(* (+ x y) z)
31.0ms
(* (sqrt (* (+ x y) z)) (sqrt (* (+ x y) z)))
163.0ms
(sqrt (* (+ x y) z))
130.0ms
(sqrt (* (+ x y) z))

simplify3.3s

Counts
124 → 124
Iterations

Useful iterations: done (3.3s)

IterNodesCost
01281416
12701049
2860961
33021917
done5001905

prune346.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes148.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055
175
done75

end0.0ms

sample1.2s

Algorithm
intervals
Results
688.0ms10051×body80valid