Details

Time bar (total: 13.6s)

sample41.0ms

Algorithm
intervals
Results
15.0ms341×body80valid

simplify3.7s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
1117
2267
3567
41377
53357
67697
79947
813087
933377
done50007

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 1 expressions with local error:

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

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt *-un-lft-identity
5×associate-*r*
4×frac-times associate-*l*
3×pow1 add-exp-log add-cube-cbrt flip3-- flip3-+ add-cbrt-cube flip-- flip-+
2×distribute-rgt-in sub-neg distribute-lft-in associate-*r/ associate-*l/
1×pow-prod-down prod-exp *-commutative cbrt-unprod distribute-lft-out distribute-lft-out-- add-log-exp difference-of-squares unswap-sqr
Counts
1 → 33
Calls
1 calls:
82.0ms
(* (+ x y) (- 1.0 z))

series65.0ms

Counts
1 → 3
Calls
1 calls:
65.0ms
(* (+ x y) (- 1.0 z))

simplify1.0s

Counts
36 → 36
Iterations

Useful iterations: done (1.0s)

IterNodesCost
084448
1248433
21119403
done5000401

prune251.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 2 expressions with local error:

2.2b
(* (- (* 1.0 1.0) (* z z)) (+ x y))
8.9b
(/ (* (- (* 1.0 1.0) (* z z)) (+ x y)) (+ 1.0 z))

rewrite162.0ms

Algorithm
rewrite-expression-head
Rules
12×*-un-lft-identity
9×add-exp-log add-cbrt-cube
8×add-sqr-sqrt frac-times associate-/l/
7×flip3-+ flip-+
6×add-cube-cbrt flip3-- flip--
4×pow1 times-frac associate-*r/ associate-*r* associate-*l* associate-*l/ associate-/r*
3×distribute-lft-out
2×cbrt-undiv div-exp prod-exp associate-/r/ cbrt-unprod add-log-exp
1×distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down clear-num *-commutative div-inv associate-/l* difference-of-squares unswap-sqr
Counts
2 → 63
Calls
2 calls:
94.0ms
(* (- (* 1.0 1.0) (* z z)) (+ x y))
63.0ms
(/ (* (- (* 1.0 1.0) (* z z)) (+ x y)) (+ 1.0 z))

series209.0ms

Counts
2 → 6
Calls
2 calls:
91.0ms
(* (- (* 1.0 1.0) (* z z)) (+ x y))
118.0ms
(/ (* (- (* 1.0 1.0) (* z z)) (+ x y)) (+ 1.0 z))

simplify2.5s

Counts
69 → 69
Iterations

Useful iterations: done (2.5s)

IterNodesCost
01361320
14761254
230551074
done50001066

prune453.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- 1.0 z))
0.0b
(sqrt (- 1.0 z))
0.0b
(* (sqrt (- 1.0 z)) (+ x y))
0.1b
(* (* (sqrt (- 1.0 z)) (+ x y)) (sqrt (- 1.0 z)))

rewrite232.0ms

Algorithm
rewrite-expression-head
Rules
46×sqrt-div
32×frac-times
25×add-sqr-sqrt
23×flip3-- flip--
21×*-un-lft-identity sqrt-prod
16×associate-*l/
13×pow1
12×flip3-+ associate-*r* flip-+
11×add-exp-log add-cube-cbrt add-cbrt-cube
10×associate-*r/
9×associate-*l*
4×pow-prod-down prod-exp cbrt-unprod distribute-lft-out-- add-log-exp difference-of-squares
2×rem-sqrt-square sqrt-pow1 pow1/2 *-commutative unswap-sqr
1×distribute-rgt-in distribute-lft-in distribute-lft-out
Counts
4 → 118
Calls
4 calls:
14.0ms
(sqrt (- 1.0 z))
12.0ms
(sqrt (- 1.0 z))
63.0ms
(* (sqrt (- 1.0 z)) (+ x y))
132.0ms
(* (* (sqrt (- 1.0 z)) (+ x y)) (sqrt (- 1.0 z)))

series329.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(sqrt (- 1.0 z))
54.0ms
(sqrt (- 1.0 z))
171.0ms
(* (sqrt (- 1.0 z)) (+ x y))
54.0ms
(* (* (sqrt (- 1.0 z)) (+ x y)) (sqrt (- 1.0 z)))

simplify2.2s

Counts
130 → 130
Iterations

Useful iterations: done (2.1s)

IterNodesCost
01972229
15642070
227901911
done50001761

prune834.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes388.0ms

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
077
197
done97

end0.0ms

sample1.1s

Algorithm
intervals
Results
500.0ms10147×body80valid
0.0ms1×body640valid
0.0ms1×body320valid
0.0ms1×body160valid