Details

Time bar (total: 3.8s)

sample29.0ms

Algorithm
intervals
Results
13.0ms420×body80valid

simplify61.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0227
1557
21017
31827
43357
57317
618287
750017
done50017

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.5b

localize10.0ms

Local error

Found 2 expressions with local error:

4.4b
(- (+ (* x x) (* y y)) (* z z))
26.5b
(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))

rewrite109.0ms

Algorithm
rewrite-expression-head
Rules
7×add-exp-log add-sqr-sqrt add-cbrt-cube add-log-exp
4×add-cube-cbrt *-un-lft-identity times-frac associate-/l*
3×difference-of-squares
2×pow1 cbrt-undiv flip3-- diff-log div-exp flip-- associate-/l/
1×sub-neg frac-2neg div-sub prod-exp associate--l+ clear-num associate-/r* sum-log cbrt-unprod div-inv
Counts
2 → 41
Calls
2 calls:
38.0ms
(- (+ (* x x) (* y y)) (* z z))
70.0ms
(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))

series122.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(- (+ (* x x) (* y y)) (* z z))
80.0ms
(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))

simplify33.0ms

Counts
47 → 47
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0275450
11168388
25001380
done5001380

prune110.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 10.3b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (+ y (/ (pow x 2) y)) (/ (pow z 2) y))
9.1b
(/ (pow x 2) y)
9.9b
(/ (pow z 2) y)

rewrite190.0ms

Algorithm
rewrite-expression-head
Rules
52×times-frac
49×add-sqr-sqrt
42×*-un-lft-identity
37×add-cube-cbrt
25×unpow-prod-down
16×associate-/l*
13×add-exp-log
9×unpow2 sqr-pow
8×add-log-exp
7×add-cbrt-cube
6×div-exp associate-/r*
5×difference-of-squares
3×pow1
2×cbrt-undiv pow-to-exp frac-2neg diff-log pow-exp clear-num frac-sub div-inv distribute-lft-out--
1×sub-neg flip3-- flip3-+ associate--l+ sum-log flip-- flip-+ distribute-lft-out
Counts
3 → 121
Calls
3 calls:
166.0ms
(- (+ y (/ (pow x 2) y)) (/ (pow z 2) y))
12.0ms
(/ (pow x 2) y)
8.0ms
(/ (pow z 2) y)

series90.0ms

Counts
3 → 9
Calls
3 calls:
53.0ms
(- (+ y (/ (pow x 2) y)) (/ (pow z 2) y))
18.0ms
(/ (pow x 2) y)
19.0ms
(/ (pow z 2) y)

simplify42.0ms

Counts
130 → 130
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0410766
11420699
25002687
done5002687

prune289.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 1.5b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (+ y (/ (pow x (/ 2 2)) (/ y x))) (/ (pow z 2) y))
0.1b
(/ (pow x (/ 2 2)) (/ y x))
9.9b
(/ (pow z 2) y)

rewrite374.0ms

Algorithm
rewrite-expression-head
Rules
191×times-frac
116×add-sqr-sqrt
109×*-un-lft-identity
104×add-cube-cbrt
55×unpow-prod-down
21×add-exp-log
19×sqr-pow
16×associate-/r*
15×associate-/l*
12×div-exp
10×add-cbrt-cube div-inv
8×add-log-exp
5×unpow2 difference-of-squares
4×cbrt-undiv
3×pow1 pow-to-exp pow-exp
2×frac-2neg diff-log clear-num frac-sub distribute-lft-out--
1×sub-neg flip3-- flip3-+ associate--l+ sum-log associate-/r/ flip-- flip-+ distribute-lft-out
Counts
3 → 202
Calls
3 calls:
343.0ms
(- (+ y (/ (pow x (/ 2 2)) (/ y x))) (/ (pow z 2) y))
12.0ms
(/ (pow x (/ 2 2)) (/ y x))
8.0ms
(/ (pow z 2) y)

series80.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(- (+ y (/ (pow x (/ 2 2)) (/ y x))) (/ (pow z 2) y))
19.0ms
(/ (pow x (/ 2 2)) (/ y x))
19.0ms
(/ (pow z 2) y)

simplify110.0ms

Counts
211 → 211
Iterations

Useful iterations: 2 (90.0ms)

IterNodesCost
08071513
136831313
250011305
done50011305

prune398.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (+ y (/ (pow x (/ 2 2)) (/ y x))) (* z (/ z y)))
0.1b
(/ (pow x (/ 2 2)) (/ y x))
0.2b
(* z (/ z y))

rewrite367.0ms

Algorithm
rewrite-expression-head
Rules
173×times-frac
100×add-sqr-sqrt
95×add-cube-cbrt *-un-lft-identity
42×unpow-prod-down
21×add-exp-log
14×sqr-pow
13×associate-*r* associate-/r* add-cbrt-cube
10×div-exp div-inv
8×add-log-exp
7×associate-/l*
5×pow1
4×cbrt-undiv
3×associate-*r/ associate-*l*
2×pow-to-exp diff-log pow-exp prod-exp frac-sub cbrt-unprod unswap-sqr
1×sub-neg flip3-- frac-2neg flip3-+ pow-prod-down associate--l+ clear-num sum-log associate-/r/ *-commutative flip-- flip-+
Counts
3 → 178
Calls
3 calls:
331.0ms
(- (+ y (/ (pow x (/ 2 2)) (/ y x))) (* z (/ z y)))
12.0ms
(/ (pow x (/ 2 2)) (/ y x))
15.0ms
(* z (/ z y))

series84.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(- (+ y (/ (pow x (/ 2 2)) (/ y x))) (* z (/ z y)))
20.0ms
(/ (pow x (/ 2 2)) (/ y x))
22.0ms
(* z (/ z y))

simplify116.0ms

Counts
187 → 187
Iterations

Useful iterations: 2 (101.0ms)

IterNodesCost
08021301
140081120
250011113
done50011113

prune312.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes60.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0198
1208
2208
done208

end0.0ms

sample802.0ms

Algorithm
intervals
Results
437.0ms13702×body80valid