Details

Time bar (total: 10.5s)

sample18.0ms

Algorithm
intervals
Results
6.0ms308×body80valid

simplify81.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1117
2227
3447
4697
5937
61087
71107
done1107

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
13.3b
(/ (* x (- y z)) y)

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt
20×*-un-lft-identity
18×add-cube-cbrt prod-diff
11×distribute-rgt-in distribute-lft-in
9×add-exp-log add-cbrt-cube
5×associate-*r*
4×pow1 associate-*r/
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv expm1-log1p-u sub-neg flip3-- div-exp prod-exp flip-- cbrt-unprod log1p-expm1-u associate-/l/ add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 71
Calls
2 calls:
26.0ms
(* x (- y z))
21.0ms
(/ (* x (- y z)) y)

series97.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(* x (- y z))
53.0ms
(/ (* x (- y z)) y)

simplify2.5s

Counts
77 → 77
Iterations

Useful iterations: 3 (1.2s)

IterNodesCost
01401001
1300814
2850666
34488624
done5000624

prune128.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- y z))
3.0b
(/ x (/ y (- y z)))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
102×add-sqr-sqrt *-un-lft-identity
70×add-cube-cbrt
26×associate-/r*
16×distribute-lft-out-- difference-of-squares
11×associate-/r/
9×add-exp-log add-cbrt-cube
6×div-inv associate-/l*
5×flip3-- flip--
4×cbrt-undiv div-exp
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
Counts
2 → 143
Calls
2 calls:
11.0ms
(/ y (- y z))
18.0ms
(/ x (/ y (- y z)))

series112.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(/ y (- y z))
63.0ms
(/ x (/ y (- y z)))

simplify1.3s

Counts
149 → 149
Iterations

Useful iterations: done (1.3s)

IterNodesCost
02222078
14661939
216351867
done50001858

prune313.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(- 1 (/ z y))
3.4b
(* x (- 1 (/ z y)))

rewrite89.0ms

Algorithm
rewrite-expression-head
Rules
125×add-sqr-sqrt
117×prod-diff
115×*-un-lft-identity
107×add-cube-cbrt
85×times-frac
41×distribute-rgt-in distribute-lft-in
9×div-inv
8×associate-*r* difference-of-squares
4×pow1 add-exp-log add-cbrt-cube add-log-exp
3×sub-neg fma-neg associate-*l*
2×expm1-log1p-u flip3-- associate-*r/ flip-- log1p-expm1-u distribute-lft-out--
1×diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 170
Calls
2 calls:
15.0ms
(- 1 (/ z y))
60.0ms
(* x (- 1 (/ z y)))

series52.0ms

Counts
2 → 6
Calls
2 calls:
18.0ms
(- 1 (/ z y))
34.0ms
(* x (- 1 (/ z y)))

simplify3.2s

Counts
176 → 176
Iterations

Useful iterations: 3 (1.6s)

IterNodesCost
02955435
15504318
212962991
348802337
done50002337

prune160.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize6.0ms

Local error

Found 1 expressions with local error:

4.1b
(/ (- z) (/ y x))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
229×times-frac
120×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
42×distribute-lft-neg-in distribute-rgt-neg-in
14×neg-mul-1
13×associate-/r*
12×div-inv
10×associate-/l*
6×add-exp-log add-cbrt-cube
3×cbrt-undiv div-exp
1×pow1 neg-sub0 expm1-log1p-u frac-2neg div-sub distribute-frac-neg clear-num associate-/r/ log1p-expm1-u add-log-exp
Counts
1 → 172
Calls
1 calls:
14.0ms
(/ (- z) (/ y x))

series28.0ms

Counts
1 → 3
Calls
1 calls:
28.0ms
(/ (- z) (/ y x))

simplify1.3s

Counts
175 → 175
Iterations

Useful iterations: done (1.3s)

IterNodesCost
03032571
17232366
222042300
done50002298

prune385.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes127.0ms

Accuracy

15.4% (2.6b remaining)

Error of 2.6b against oracle of 0.0b and baseline of 3.1b

bsearch71.0ms

Steps
ItersRangePoint
4
4.3109328771931384e+241
7.480196708247698e+241
4.507467681888386e+241
7
1.5656859371170272e-94
1.5000504715821606e-92
2.654414306543036e-93
8
-4.305201390334452e+54
-1.2676143196983275e+50
-3.959044911726635e+51

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02444
13044
done3044

end0.0ms

sample478.0ms

Algorithm
intervals
Results
207.0ms9599×body80valid