Details

Time bar (total: 6.7s)

sample23.0ms

Algorithm
intervals
Results
9.0ms256×body80valid

simplify14.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1127
2167
3187
done187

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ (- x y) (- 1.0 y))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
37×add-sqr-sqrt *-un-lft-identity
25×times-frac
13×add-cube-cbrt
12×distribute-lft-out-- difference-of-squares
5×associate-/r* associate-/l*
3×add-exp-log add-cbrt-cube
2×flip3-- associate-/r/ flip-- associate-/l/
1×pow1 cbrt-undiv frac-2neg div-sub div-exp clear-num div-inv add-log-exp
Counts
1 → 52
Calls
1 calls:
36.0ms
(/ (- x y) (- 1.0 y))

series68.0ms

Counts
1 → 3
Calls
1 calls:
68.0ms
(/ (- x y) (- 1.0 y))

simplify640.0ms

Counts
55 → 55
Iterations

Useful iterations: done (638.0ms)

IterNodesCost
0103740
1258711
2860679
done5000677

prune103.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- 1.0 y))
0.0b
(/ x (- 1.0 y))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt *-un-lft-identity
30×times-frac
22×add-cube-cbrt
10×associate-/r*
8×distribute-lft-out-- difference-of-squares
6×add-exp-log add-cbrt-cube associate-/l*
4×associate-/r/
2×pow1 cbrt-undiv flip3-- frac-2neg div-exp clear-num flip-- div-inv add-log-exp
Counts
2 → 74
Calls
2 calls:
18.0ms
(/ y (- 1.0 y))
15.0ms
(/ x (- 1.0 y))

series86.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(/ y (- 1.0 y))
36.0ms
(/ x (- 1.0 y))

simplify592.0ms

Counts
80 → 80
Iterations

Useful iterations: done (589.0ms)

IterNodesCost
0141858
1306818
21137772
done5000764

prune234.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- 1.0 y))
0.1b
(* (/ 1 (sqrt (- 1.0 y))) (/ y (sqrt (- 1.0 y))))
0.1b
(/ 1 (sqrt (- 1.0 y)))
0.1b
(/ y (sqrt (- 1.0 y)))

rewrite178.0ms

Algorithm
rewrite-expression-head
Rules
146×add-sqr-sqrt
118×times-frac
105×*-un-lft-identity
86×sqrt-prod
69×add-cube-cbrt
32×add-exp-log
30×associate-*r* associate-*l*
20×add-cbrt-cube
16×associate-/r*
15×distribute-lft-out-- difference-of-squares unswap-sqr
11×div-exp
10×sqrt-div
9×pow1
8×prod-exp associate-/r/
6×cbrt-undiv associate-/l*
5×flip3-- flip--
4×cbrt-unprod div-inv add-log-exp
3×rec-exp pow-flip 1-exp
2×frac-2neg sqrt-pow1 pow1/2 clear-num
1×frac-times rem-sqrt-square associate-*r/ pow-prod-down associate-*l/ *-commutative inv-pow
Counts
4 → 220
Calls
4 calls:
7.0ms
(sqrt (- 1.0 y))
108.0ms
(* (/ 1 (sqrt (- 1.0 y))) (/ y (sqrt (- 1.0 y))))
24.0ms
(/ 1 (sqrt (- 1.0 y)))
26.0ms
(/ y (sqrt (- 1.0 y)))

series334.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(sqrt (- 1.0 y))
45.0ms
(* (/ 1 (sqrt (- 1.0 y))) (/ y (sqrt (- 1.0 y))))
66.0ms
(/ 1 (sqrt (- 1.0 y)))
175.0ms
(/ y (sqrt (- 1.0 y)))

simplify464.0ms

Counts
232 → 232
Iterations

Useful iterations: done (451.0ms)

IterNodesCost
02703467
17603096
done50002756

prune540.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (/ (- x y) (- (* 1.0 1.0) (* y y))) (+ 1.0 y))
15.3b
(/ (- x y) (- (* 1.0 1.0) (* y y)))

rewrite128.0ms

Algorithm
rewrite-expression-head
Rules
47×add-sqr-sqrt
44×*-un-lft-identity
41×times-frac
26×associate-*l*
24×add-cube-cbrt
20×difference-of-squares
9×add-exp-log add-cbrt-cube distribute-lft-out--
5×associate-/l*
4×pow1 associate-*r* associate-/r* associate-/r/
3×flip3-- flip--
2×cbrt-undiv frac-times flip3-+ associate-*r/ div-exp prod-exp cbrt-unprod flip-+ div-inv associate-/l/ add-log-exp unswap-sqr
1×distribute-rgt-in frac-2neg distribute-lft-in div-sub pow-prod-down associate-*l/ clear-num *-commutative distribute-lft-out
Counts
2 → 98
Calls
2 calls:
92.0ms
(* (/ (- x y) (- (* 1.0 1.0) (* y y))) (+ 1.0 y))
32.0ms
(/ (- x y) (- (* 1.0 1.0) (* y y)))

series180.0ms

Counts
2 → 6
Calls
2 calls:
88.0ms
(* (/ (- x y) (- (* 1.0 1.0) (* y y))) (+ 1.0 y))
93.0ms
(/ (- x y) (- (* 1.0 1.0) (* y y)))

simplify2.0s

Counts
104 → 104
Iterations

Useful iterations: done (2.0s)

IterNodesCost
01781931
16581895
236461741
done50001735

prune368.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes30.0ms

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
0711
done711

end0.0ms

sample638.0ms

Algorithm
intervals
Results
272.0ms7997×body80valid
0.0ms1×body640valid
0.0ms1×body320valid
0.0ms1×body160valid