Details

Time bar (total: 10.4s)

sample21.0ms

Algorithm
intervals
Results
10.0ms330×body80valid

simplify3.2s

Counts
1 → 1
Iterations

Useful iterations: 7 (230.0ms)

IterNodesCost
01213
12213
24513
39713
418613
530213
645713
767611
8119211
9323511
done500111

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* 4.0 (+ 0.25 (/ (- x z) y))) 1.0)
0.0b
(/ (- x z) y)

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt *-un-lft-identity
15×times-frac
12×add-cube-cbrt
5×associate-/l*
4×add-exp-log add-cbrt-cube distribute-lft-out-- add-log-exp difference-of-squares
3×associate-/r*
2×pow1 associate-+l+ associate-/l/
1×cbrt-undiv +-commutative distribute-rgt-in flip3-- frac-2neg distribute-lft-in flip3-+ div-sub div-exp clear-num sum-log flip-- flip-+ div-inv
Counts
2 → 51
Calls
2 calls:
14.0ms
(+ (* 4.0 (+ 0.25 (/ (- x z) y))) 1.0)
8.0ms
(/ (- x z) y)

series56.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(+ (* 4.0 (+ 0.25 (/ (- x z) y))) 1.0)
29.0ms
(/ (- x z) y)

simplify987.0ms

Counts
57 → 57
Iterations

Useful iterations: done (985.0ms)

IterNodesCost
0109678
1268654
2679600
32348592
done5001591

prune129.0ms

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
(* (/ (- x z) y) 4.0)
0.0b
(/ (- x z) y)

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
36×*-un-lft-identity
31×times-frac
22×add-cube-cbrt
19×associate-*l*
9×add-exp-log add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×associate-/l*
4×pow1
3×associate-*r* associate-/r*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
1×flip3-- frac-2neg div-sub pow-prod-down associate-*l/ clear-num *-commutative flip--
Counts
2 → 76
Calls
2 calls:
17.0ms
(* (/ (- x z) y) 4.0)
7.0ms
(/ (- x z) y)

series66.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(* (/ (- x z) y) 4.0)
26.0ms
(/ (- x z) y)

simplify1.9s

Counts
82 → 82
Iterations

Useful iterations: done (1.9s)

IterNodesCost
0115813
1279775
2798711
33069711
done5000710

prune171.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- (/ x y) (/ z y)) 4.0)
0.0b
(- (/ x y) (/ z y))

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
34×add-sqr-sqrt
24×*-un-lft-identity
20×times-frac
12×associate-*l*
8×add-cube-cbrt distribute-lft-out-- difference-of-squares
4×pow1 add-exp-log associate-*l/ add-cbrt-cube div-inv add-log-exp
3×associate-*r*
2×flip3-- distribute-rgt-out-- frac-sub flip-- sub-div
1×sub-neg diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 54
Calls
2 calls:
63.0ms
(* (- (/ x y) (/ z y)) 4.0)
17.0ms
(- (/ x y) (/ z y))

series60.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(* (- (/ x y) (/ z y)) 4.0)
23.0ms
(- (/ x y) (/ z y))

simplify1.4s

Counts
60 → 60
Iterations

Useful iterations: done (1.4s)

IterNodesCost
092704
1200690
2549636
31729636
done5001598

prune132.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (/ x y) (/ z y))
0.3b
(* (/ 4.0 y) (- x z))
0.3b
(* (* (/ 4.0 y) (- x z)) (+ (/ x y) (/ z y)))
27.1b
(/ (* (* (/ 4.0 y) (- x z)) (+ (/ x y) (/ z y))) (+ (/ x y) (/ z y)))

rewrite167.0ms

Algorithm
rewrite-expression-head
Rules
57×*-un-lft-identity
48×frac-times
42×times-frac
32×add-exp-log add-cbrt-cube
30×add-sqr-sqrt
24×associate-*r/
23×add-cube-cbrt associate-/l/
19×associate-*l/
18×flip3-- flip--
16×distribute-lft-out
14×flip3-+ associate-*l* frac-add flip-+
13×associate-*r*
12×prod-exp cbrt-unprod
11×pow1
10×div-inv
8×associate-/r*
7×cbrt-undiv div-exp
6×add-log-exp
4×distribute-rgt-out pow-prod-down
3×distribute-rgt-in distribute-lft-in associate-/r/
2×sub-neg *-commutative unswap-sqr
1×+-commutative frac-2neg clear-num sum-log associate-/l* distribute-lft-out-- difference-of-squares
Counts
4 → 170
Calls
4 calls:
15.0ms
(+ (/ x y) (/ z y))
16.0ms
(* (/ 4.0 y) (- x z))
62.0ms
(* (* (/ 4.0 y) (- x z)) (+ (/ x y) (/ z y)))
66.0ms
(/ (* (* (/ 4.0 y) (- x z)) (+ (/ x y) (/ z y))) (+ (/ x y) (/ z y)))

series213.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(+ (/ x y) (/ z y))
46.0ms
(* (/ 4.0 y) (- x z))
98.0ms
(* (* (/ 4.0 y) (- x z)) (+ (/ x y) (/ z y)))
51.0ms
(/ (* (* (/ 4.0 y) (- x z)) (+ (/ x y) (/ z y))) (+ (/ x y) (/ z y)))

simplify631.0ms

Counts
182 → 182
Iterations

Useful iterations: done (626.0ms)

IterNodesCost
02723773
19443289
done50003043

prune467.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes39.0ms

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
01011
11211
done1211

end0.0ms

sample526.0ms

Algorithm
intervals
Results
313.0ms10096×body80valid