Details

Time bar (total: 8.6s)

sample19.0ms

Algorithm
intervals
Results
6.0ms281×body80valid

simplify149.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1179
2259
3499
4769
51089
61339
71489
81619
91669
done1669

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.2b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x y) (- z y))
2.0b
(* (/ (- x y) (- z y)) t)

rewrite73.0ms

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-exp-log add-cbrt-cube
5×associate-/r* associate-/l*
4×pow1 associate-/r/
3×flip3-- associate-*r* flip--
2×cbrt-undiv expm1-log1p-u div-exp prod-exp cbrt-unprod log1p-expm1-u div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg div-sub pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 106
Calls
2 calls:
24.0ms
(/ (- x y) (- z y))
45.0ms
(* (/ (- x y) (- z y)) t)

series156.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(/ (- x y) (- z y))
105.0ms
(* (/ (- x y) (- z y)) t)

simplify1.6s

Counts
112 → 112
Iterations

Useful iterations: 2 (168.0ms)

IterNodesCost
01471339
13691303
29841219
329821219
done50001219

prune221.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- z y) (- x y))
0.3b
(/ 1 (/ (- z y) (- x y)))
2.0b
(* (/ 1 (/ (- z y) (- x y))) t)

rewrite148.0ms

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×frac-2neg clear-num associate-/l/
1×pow-flip div-sub pow-prod-down associate-*l/ *-commutative inv-pow
Counts
3 → 332
Calls
3 calls:
25.0ms
(/ (- z y) (- x y))
25.0ms
(/ 1 (/ (- z y) (- x y)))
78.0ms
(* (/ 1 (/ (- z y) (- x y))) t)

series347.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(/ (- z y) (- x y))
132.0ms
(/ 1 (/ (- z y) (- x y)))
162.0ms
(* (/ 1 (/ (- z y) (- x y))) t)

simplify1.1s

Counts
341 → 341
Iterations

Useful iterations: done (1.1s)

IterNodesCost
03565362
18604513
218644132
done50004056

prune550.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z y) (- x y))
1.9b
(/ t (/ (- z y) (- x y)))

rewrite61.0ms

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-exp-log add-cbrt-cube
8×associate-/l*
6×flip3-- flip-- div-inv
4×cbrt-undiv div-exp
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u associate-/l/ add-log-exp
1×div-sub
Counts
2 → 198
Calls
2 calls:
27.0ms
(/ (- z y) (- x y))
24.0ms
(/ t (/ (- z y) (- x y)))

series213.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(/ (- z y) (- x y))
163.0ms
(/ t (/ (- z y) (- x y)))

simplify1.0s

Counts
204 → 204
Iterations

Useful iterations: done (1.0s)

IterNodesCost
02743524
16253300
222493198
done50003192

prune469.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- z y))
0.2b
(* (/ 1 (- z y)) (- x y))
2.0b
(* (* (/ 1 (- z y)) (- x y)) t)

rewrite133.0ms

Algorithm
rewrite-expression-head
Rules
59×add-sqr-sqrt
53×*-un-lft-identity
36×add-cube-cbrt
32×times-frac
31×add-exp-log
22×associate-*l*
19×add-cbrt-cube
18×prod-diff
13×prod-exp
11×pow1 distribute-rgt-in distribute-lft-in
8×associate-*r* distribute-lft-out-- difference-of-squares
7×associate-*l/ cbrt-unprod
6×flip3-- div-exp flip--
5×associate-/r*
4×frac-times associate-*r/ pow-prod-down associate-/r/
3×cbrt-undiv expm1-log1p-u rec-exp 1-exp log1p-expm1-u associate-/l* add-log-exp unswap-sqr
2×sub-neg *-commutative div-inv
1×pow-flip frac-2neg clear-num inv-pow
Counts
3 → 145
Calls
3 calls:
12.0ms
(/ 1 (- z y))
48.0ms
(* (/ 1 (- z y)) (- x y))
67.0ms
(* (* (/ 1 (- z y)) (- x y)) t)

series350.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(/ 1 (- z y))
138.0ms
(* (/ 1 (- z y)) (- x y))
168.0ms
(* (* (/ 1 (- z y)) (- x y)) t)

simplify1.1s

Counts
154 → 154
Iterations

Useful iterations: done (1.1s)

IterNodesCost
02272198
15301768
214731444
done50011420

prune226.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes101.0ms

Accuracy

-1.8% (2.2b remaining)

Error of 2.2b against oracle of 0.0b and baseline of 2.1b

bsearch49.0ms

Steps
ItersRangePoint
8
1.2981949479042878e-19
9.866767616182859e-17
6.347020473555593e-18
6
-1.503804795935784e-161
-3.3008240703373716e-162
-6.523938592531431e-162

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01839
12427
done2427

end0.0ms

sample505.0ms

Algorithm
intervals
Results
208.0ms8731×body80valid