Details

Time bar (total: 14.2s)

sample18.0ms

Algorithm
intervals
Results
7.0ms283×body80valid

simplify117.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
089
1179
2249
3489
4739
51009
61259
71419
81549
91599
done1599

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.8b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x y) (- z y))
1.8b
(* (/ (- x y) (- z y)) t)

rewrite44.0ms

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:
12.0ms
(/ (- x y) (- z y))
27.0ms
(* (/ (- x y) (- z y)) t)

series161.0ms

Counts
2 → 6
Calls
2 calls:
56.0ms
(/ (- x y) (- z y))
105.0ms
(* (/ (- x y) (- z y)) t)

simplify2.3s

Counts
112 → 112
Iterations

Useful iterations: done (2.3s)

IterNodesCost
01471339
13701303
29741219
331041219
done50001217

prune263.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- z y) (- x y))
0.4b
(/ 1 (/ (- z y) (- x y)))
1.8b
(* (/ 1 (/ (- z y) (- x y))) t)

rewrite108.0ms

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:
12.0ms
(/ (- z y) (- x y))
15.0ms
(/ 1 (/ (- z y) (- x y)))
56.0ms
(* (/ 1 (/ (- z y) (- x y))) t)

series357.0ms

Counts
3 → 9
Calls
3 calls:
53.0ms
(/ (- z y) (- x y))
137.0ms
(/ 1 (/ (- z y) (- x y)))
167.0ms
(* (/ 1 (/ (- z y) (- x y))) t)

simplify1.8s

Counts
341 → 341
Iterations

Useful iterations: done (1.8s)

IterNodesCost
03565362
18884735
222434132
done50024124

prune653.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z y) (- x y))
1.8b
(/ t (/ (- z y) (- x y)))

rewrite38.0ms

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:
12.0ms
(/ (- z y) (- x y))
14.0ms
(/ t (/ (- z y) (- x y)))

series216.0ms

Counts
2 → 6
Calls
2 calls:
54.0ms
(/ (- z y) (- x y))
161.0ms
(/ t (/ (- z y) (- x y)))

simplify938.0ms

Counts
204 → 204
Iterations

Useful iterations: 2 (292.0ms)

IterNodesCost
02743524
16433300
222323198
done50003198

prune481.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (- z y))
0.0b
(/ 1 (- x y))
0.2b
(/ (/ 1 (- z y)) (/ 1 (- x y)))
1.8b
(* (/ (/ 1 (- z y)) (/ 1 (- x y))) t)

rewrite303.0ms

Algorithm
rewrite-expression-head
Rules
2223×times-frac
1367×add-sqr-sqrt
1338×*-un-lft-identity
800×add-cube-cbrt
446×associate-*l*
266×distribute-lft-out-- difference-of-squares
178×associate-/r/
110×add-exp-log
90×div-inv
88×flip3-- flip--
68×div-exp
38×add-cbrt-cube
31×associate-/r*
27×associate-/l*
18×cbrt-undiv rec-exp 1-exp
17×prod-exp
10×unswap-sqr
8×pow1
5×cbrt-unprod
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×frac-2neg associate-*r* clear-num
2×pow-flip inv-pow
1×pow-prod-down associate-*l/ *-commutative associate-/l/
Counts
4 → 1096
Calls
4 calls:
6.0ms
(/ 1 (- z y))
6.0ms
(/ 1 (- x y))
32.0ms
(/ (/ 1 (- z y)) (/ 1 (- x y)))
154.0ms
(* (/ (/ 1 (- z y)) (/ 1 (- x y))) t)

series397.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(/ 1 (- z y))
38.0ms
(/ 1 (- x y))
143.0ms
(/ (/ 1 (- z y)) (/ 1 (- x y)))
176.0ms
(* (/ (/ 1 (- z y)) (/ 1 (- x y))) t)

simplify3.5s

Counts
1108 → 1108
Iterations

Useful iterations: done (3.4s)

IterNodesCost
0104422843
1312319456
done500117832

prune1.9s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes184.0ms

Accuracy

2.1% (2.0b remaining)

Error of 2.0b against oracle of 0.0b and baseline of 2.0b

bsearch70.0ms

Steps
ItersRangePoint
8
2.0573027824371054e-159
1.066170023785374e-154
8.404756557841443e-157
6
-4.500035223075604e-173
-3.4250942496308227e-174
-5.960013554415501e-174

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01837
12529
done2529

end0.0ms

sample457.0ms

Algorithm
intervals
Results
235.0ms8730×body80valid