Details

Time bar (total: 16.1s)

sample36.0ms

Algorithm
intervals
Results
14.0ms263×body80valid

simplify2.6s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011
11911
24011
38411
419811
557411
6181111
done500011

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.6b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) (- y t))
6.6b
(/ x (* (- y z) (- y t)))

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
22×*-un-lft-identity
18×add-cube-cbrt prod-diff
12×flip3-- flip--
11×distribute-rgt-in distribute-lft-in
9×add-exp-log add-cbrt-cube
8×frac-times associate-/r/
5×associate-*r* associate-*l*
4×pow1 associate-*r/ associate-*l/
3×times-frac associate-/l*
2×cbrt-undiv expm1-log1p-u sub-neg div-exp prod-exp cbrt-unprod log1p-expm1-u distribute-lft-out-- add-log-exp difference-of-squares
1×frac-2neg pow-prod-down clear-num associate-/r* *-commutative div-inv unswap-sqr
Counts
2 → 85
Calls
2 calls:
47.0ms
(* (- y z) (- y t))
18.0ms
(/ x (* (- y z) (- y t)))

series133.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(* (- y z) (- y t))
87.0ms
(/ x (* (- y z) (- y t)))

simplify1.6s

Counts
91 → 91
Iterations

Useful iterations: done (1.6s)

IterNodesCost
01771460
14361278
225261098
done50001074

prune445.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- y z) (- y t))
0.7b
(/ 1 (/ (* (- y z) (- y t)) x))
6.3b
(/ (* (- y z) (- y t)) x)

rewrite167.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
39×*-un-lft-identity
36×times-frac
35×add-cube-cbrt
31×add-exp-log
19×add-cbrt-cube
18×prod-diff
14×div-exp
12×flip3-- flip--
11×distribute-rgt-in distribute-lft-in
10×associate-/r*
8×frac-times associate-/l/
7×cbrt-undiv
6×pow1 div-inv
5×associate-*r* associate-*l* prod-exp
4×associate-*r/ associate-*l/ associate-/l*
3×expm1-log1p-u rec-exp 1-exp cbrt-unprod log1p-expm1-u add-log-exp
2×sub-neg frac-2neg clear-num distribute-lft-out-- difference-of-squares
1×pow-flip pow-prod-down associate-/r/ *-commutative inv-pow unswap-sqr
Counts
3 → 143
Calls
3 calls:
65.0ms
(* (- y z) (- y t))
46.0ms
(/ 1 (/ (* (- y z) (- y t)) x))
48.0ms
(/ (* (- y z) (- y t)) x)

series266.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(* (- y z) (- y t))
157.0ms
(/ 1 (/ (* (- y z) (- y t)) x))
66.0ms
(/ (* (- y z) (- y t)) x)

simplify2.9s

Counts
152 → 152
Iterations

Useful iterations: done (2.9s)

IterNodesCost
02552436
17032112
246681864
done50001863

prune639.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- y z) (- y t))
0.9b
(/ 1 (* (- y z) (- y t)))
6.2b
(* x (/ 1 (* (- y z) (- y t))))

rewrite170.0ms

Algorithm
rewrite-expression-head
Rules
35×add-exp-log
30×add-sqr-sqrt
26×*-un-lft-identity
22×add-cube-cbrt
20×associate-*r*
19×add-cbrt-cube
18×flip3-- prod-diff flip--
16×associate-/r/
14×prod-exp
12×frac-times
11×distribute-rgt-in distribute-lft-in
10×pow1
8×div-exp associate-*l*
7×associate-*r/
6×times-frac associate-*l/ cbrt-unprod
4×cbrt-undiv rec-exp 1-exp
3×expm1-log1p-u pow-prod-down log1p-expm1-u associate-/l* add-log-exp
2×sub-neg pow-flip *-commutative div-inv distribute-lft-out-- difference-of-squares unswap-sqr
1×frac-2neg clear-num associate-/r* un-div-inv inv-pow
Counts
3 → 134
Calls
3 calls:
39.0ms
(* (- y z) (- y t))
33.0ms
(/ 1 (* (- y z) (- y t)))
90.0ms
(* x (/ 1 (* (- y z) (- y t))))

series169.0ms

Counts
3 → 9
Calls
3 calls:
30.0ms
(* (- y z) (- y t))
71.0ms
(/ 1 (* (- y z) (- y t)))
68.0ms
(* x (/ 1 (* (- y z) (- y t))))

simplify2.1s

Counts
143 → 143
Iterations

Useful iterations: done (2.1s)

IterNodesCost
02212128
15761874
234871574
done50011546

prune513.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- y z) (- y t))
0.9b
(/ 1 (* (- y z) (- y t)))
6.3b
(/ (/ 1 (* (- y z) (- y t))) (/ 1 x))

rewrite218.0ms

Algorithm
rewrite-expression-head
Rules
384×times-frac
165×add-sqr-sqrt
163×*-un-lft-identity
159×add-cube-cbrt
121×associate-/r/
99×add-exp-log
96×flip3-- flip--
64×frac-times
62×div-exp
32×associate-*r/ associate-*l/ div-inv
31×add-cbrt-cube
18×prod-diff associate-/l*
17×rec-exp 1-exp
16×prod-exp
15×cbrt-undiv
14×associate-/r*
11×distribute-rgt-in distribute-lft-in
8×pow1
5×associate-*r* associate-*l*
4×cbrt-unprod
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×sub-neg pow-flip frac-2neg pow-prod-down clear-num distribute-lft-out-- difference-of-squares
1×*-commutative associate-/l/ inv-pow unswap-sqr
Counts
3 → 363
Calls
3 calls:
55.0ms
(* (- y z) (- y t))
45.0ms
(/ 1 (* (- y z) (- y t)))
75.0ms
(/ (/ 1 (* (- y z) (- y t))) (/ 1 x))

series327.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(* (- y z) (- y t))
95.0ms
(/ 1 (* (- y z) (- y t)))
192.0ms
(/ (/ 1 (* (- y z) (- y t))) (/ 1 x))

simplify1.3s

Counts
372 → 372
Iterations

Useful iterations: done (1.3s)

IterNodesCost
05999185
119957757
done50007013

prune1.1s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes295.0ms

Accuracy

0% (0.7b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 0.8b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01213
11513
done1513

end0.0ms

sample978.0ms

Algorithm
intervals
Results
455.0ms8436×body80valid