Details

Time bar (total: 14.2s)

sample34.0ms

Algorithm
intervals
Results
13.0ms281×body80valid

simplify240.0ms

Counts
1 → 1
Iterations
IterNodes
done185
11185
10183
9177
8170
7155
6138
5109
477
349
225
117
08

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.2b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x y) (- z y))
1.2b
(* (/ (- x y) (- z y)) t)

rewrite101.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
70×*-un-lft-identity
51×times-frac
31×associate-*l*
26×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
9×add-cbrt-cube add-exp-log
5×associate-/r* associate-/l*
4×pow1 associate-/r/
3×flip3-- associate-*r* flip--
2×expm1-log1p-u cbrt-undiv div-exp prod-exp cbrt-unprod log1p-expm1-u div-inv add-log-exp unswap-sqr associate-/l/
1×clear-num frac-2neg div-sub pow-prod-down associate-*l/ *-commutative
Counts
2 → 106
Calls
2 calls:
20.0ms
(/ (- x y) (- z y))
77.0ms
(* (/ (- x y) (- z y)) t)

series217.0ms

Counts
2 → 6
Calls
2 calls:
90.0ms
(/ (- x y) (- z y))
127.0ms
(* (/ (- x y) (- z y)) t)

simplify908.0ms

Counts
112 → 112
Iterations
IterNodes
done5001
21481
1381
0147

prune627.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- z y) (- x y))
0.2b
(/ 1 (/ (- z y) (- x y)))
1.2b
(* (/ 1 (/ (- z y) (- x y))) t)

rewrite215.0ms

Algorithm
rewrite-expression-head
Rules
392×times-frac
335×add-sqr-sqrt
323×*-un-lft-identity
157×add-cube-cbrt
98×associate-*l*
82×distribute-lft-out-- difference-of-squares
36×associate-/r*
35×add-exp-log
19×add-cbrt-cube
18×associate-/r/
15×div-exp
10×div-inv
9×flip3-- flip--
8×associate-/l*
7×cbrt-undiv prod-exp
6×pow1
5×unswap-sqr
4×rec-exp 1-exp
3×expm1-log1p-u associate-*r* cbrt-unprod log1p-expm1-u add-log-exp
2×clear-num frac-2neg associate-/l/
1×div-sub pow-prod-down associate-*l/ *-commutative pow-flip inv-pow
Counts
3 → 332
Calls
3 calls:
37.0ms
(/ (- z y) (- x y))
38.0ms
(/ 1 (/ (- z y) (- x y)))
103.0ms
(* (/ 1 (/ (- z y) (- x y))) t)

series492.0ms

Counts
3 → 9
Calls
3 calls:
58.0ms
(/ (- z y) (- x y))
226.0ms
(/ 1 (/ (- z y) (- x y)))
209.0ms
(* (/ 1 (/ (- z y) (- x y))) t)

simplify478.0ms

Counts
341 → 341
Iterations
IterNodes
done5001
11034
0356

prune1.4s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z y) (- x y))
1.1b
(/ t (/ (- z y) (- x y)))

rewrite92.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac
194×add-sqr-sqrt *-un-lft-identity
90×add-cube-cbrt
52×distribute-lft-out-- difference-of-squares
36×associate-/r*
11×associate-/r/
9×add-cbrt-cube add-exp-log
8×associate-/l*
6×flip3-- div-inv flip--
4×cbrt-undiv div-exp
2×expm1-log1p-u pow1 clear-num frac-2neg log1p-expm1-u add-log-exp associate-/l/
1×div-sub
Counts
2 → 198
Calls
2 calls:
36.0ms
(/ (- z y) (- x y))
36.0ms
(/ t (/ (- z y) (- x y)))

series304.0ms

Counts
2 → 6
Calls
2 calls:
65.0ms
(/ (- z y) (- x y))
239.0ms
(/ t (/ (- z y) (- x y)))

simplify1.4s

Counts
204 → 204
Iterations
IterNodes
done5001
23851
1743
0274

prune1.0s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- x y))
0.6b
(* (cbrt (- x y)) (cbrt (- x y)))
1.1b
(* t (/ (cbrt (- x y)) (- z y)))
5.1b
(* (/ (* (cbrt (- x y)) (cbrt (- x y))) 1) (* t (/ (cbrt (- x y)) (- z y))))

rewrite253.0ms

Algorithm
rewrite-expression-head
Rules
87×add-sqr-sqrt
77×*-un-lft-identity
68×add-exp-log
59×cbrt-prod
55×associate-*r*
45×times-frac
35×add-cbrt-cube add-cube-cbrt
34×prod-exp
21×cbrt-unprod
20×distribute-lft-out--
18×pow1 div-exp associate-*l* difference-of-squares
14×cbrt-div
10×cbrt-undiv swap-sqr
8×flip3-- flip--
7×pow1/3 unswap-sqr
6×1-exp pow-prod-down associate-*r/
5×frac-times
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-*l/ *-commutative
2×associate-/r/ pow-sqr pow-prod-up div-inv
1×pow2 pow-plus
Counts
4 → 190
Calls
4 calls:
3.0ms
(cbrt (- x y))
48.0ms
(* (cbrt (- x y)) (cbrt (- x y)))
66.0ms
(* t (/ (cbrt (- x y)) (- z y)))
128.0ms
(* (/ (* (cbrt (- x y)) (cbrt (- x y))) 1) (* t (/ (cbrt (- x y)) (- z y))))

series793.0ms

Counts
4 → 12
Calls
4 calls:
218.0ms
(cbrt (- x y))
201.0ms
(* (cbrt (- x y)) (cbrt (- x y)))
275.0ms
(* t (/ (cbrt (- x y)) (- z y)))
99.0ms
(* (/ (* (cbrt (- x y)) (cbrt (- x y))) 1) (* t (/ (cbrt (- x y)) (- z y))))

simplify3.0s

Counts
202 → 202
Iterations
IterNodes
done5000
24967
1856
0311

prune1.1s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes497.0ms

Accuracy

0% (2.1b remaining)

Error of 2.1b against oracle of 0.0b and baseline of 2.1b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done8
08

end0.0ms

sample1.1s

Algorithm
intervals
Results
434.0ms8736×body80valid