Details

Time bar (total: 20.2s)

sample34.0ms

Algorithm
intervals
Results
15.0ms321×body80valid

simplify180.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011
11511
22511
34111
46211
57911
69511
711211
812011
912311
done12311

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.7b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ y z) (/ t (- 1.0 z)))
0.0b
(/ t (- 1.0 z))
5.5b
(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite508.0ms

Algorithm
rewrite-expression-head
Rules
1192×times-frac
1082×add-sqr-sqrt
1078×*-un-lft-identity
819×prod-diff
814×add-cube-cbrt
275×distribute-rgt-in distribute-lft-in
129×distribute-lft-out-- difference-of-squares
104×div-inv
80×associate-/r/
42×flip3-- flip--
13×fma-neg
10×associate-*r*
7×add-exp-log add-cbrt-cube
5×pow1 associate-/r* add-log-exp
3×expm1-log1p-u sub-neg associate-*r/ associate-*l* log1p-expm1-u associate-/l*
2×frac-sub
1×cbrt-undiv frac-2neg diff-log div-exp pow-prod-down prod-exp clear-num *-commutative cbrt-unprod unswap-sqr
Counts
3 → 927
Calls
3 calls:
78.0ms
(- (/ y z) (/ t (- 1.0 z)))
11.0ms
(/ t (- 1.0 z))
259.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series181.0ms

Counts
3 → 9
Calls
3 calls:
54.0ms
(- (/ y z) (/ t (- 1.0 z)))
43.0ms
(/ t (- 1.0 z))
83.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

simplify2.3s

Counts
936 → 936
Iterations

Useful iterations: done (2.2s)

IterNodesCost
0100949986
1222244988
done500139914

prune3.5s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ y z) (* t (/ 1 (- 1.0 z))))
0.0b
(/ 1 (- 1.0 z))
0.1b
(* t (/ 1 (- 1.0 z)))
5.5b
(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

rewrite204.0ms

Algorithm
rewrite-expression-head
Rules
77×add-sqr-sqrt
69×*-un-lft-identity
68×times-frac
54×add-cube-cbrt
39×prod-diff
24×associate-*r*
19×add-exp-log
15×distribute-rgt-in distribute-lft-in
13×fma-neg add-cbrt-cube
9×pow1
7×associate-*r/ distribute-lft-out-- difference-of-squares
6×associate-*l* div-inv add-log-exp
5×prod-exp associate-/r*
4×expm1-log1p-u flip3-- div-exp associate-/r/ frac-sub flip-- log1p-expm1-u unswap-sqr
3×sub-neg un-div-inv cbrt-unprod associate-/l*
2×cbrt-undiv rec-exp 1-exp pow-prod-down *-commutative
1×pow-flip frac-2neg diff-log clear-num inv-pow
Counts
4 → 185
Calls
4 calls:
31.0ms
(- (/ y z) (* t (/ 1 (- 1.0 z))))
16.0ms
(/ 1 (- 1.0 z))
35.0ms
(* t (/ 1 (- 1.0 z)))
106.0ms
(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

series226.0ms

Counts
4 → 12
Calls
4 calls:
60.0ms
(- (/ y z) (* t (/ 1 (- 1.0 z))))
25.0ms
(/ 1 (- 1.0 z))
45.0ms
(* t (/ 1 (- 1.0 z)))
97.0ms
(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

simplify2.4s

Counts
197 → 197
Iterations

Useful iterations: done (2.4s)

IterNodesCost
02843347
17023047
228842611
done50002519

prune732.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x (/ y z)) (- (* (/ t (- 1.0 z)) x)))
0.0b
(/ t (- 1.0 z))
4.4b
(* (/ t (- 1.0 z)) x)
6.7b
(* x (/ y z))

rewrite128.0ms

Algorithm
rewrite-expression-head
Rules
56×add-sqr-sqrt
46×*-un-lft-identity
41×times-frac
32×add-cube-cbrt
24×associate-*l*
16×add-exp-log associate-*r* add-cbrt-cube
8×pow1 add-log-exp
7×distribute-lft-out-- difference-of-squares
5×associate-/r*
4×expm1-log1p-u prod-exp associate-/r/ cbrt-unprod log1p-expm1-u unswap-sqr
3×cbrt-undiv div-exp div-inv associate-/l*
2×flip3-- associate-*r/ pow-prod-down associate-*l/ sum-log *-commutative flip--
1×+-commutative neg-sub0 associate-+r- fma-def frac-2neg flip3-+ unsub-neg neg-log frac-add clear-num flip-+ distribute-neg-frac
Counts
4 → 134
Calls
4 calls:
25.0ms
(+ (* x (/ y z)) (- (* (/ t (- 1.0 z)) x)))
12.0ms
(/ t (- 1.0 z))
49.0ms
(* (/ t (- 1.0 z)) x)
32.0ms
(* x (/ y z))

series257.0ms

Counts
4 → 12
Calls
4 calls:
92.0ms
(+ (* x (/ y z)) (- (* (/ t (- 1.0 z)) x)))
63.0ms
(/ t (- 1.0 z))
67.0ms
(* (/ t (- 1.0 z)) x)
36.0ms
(* x (/ y z))

simplify2.2s

Counts
146 → 146
Iterations

Useful iterations: done (2.2s)

IterNodesCost
02471617
16831521
233011396
done50021384

prune551.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (* x y) (/ 1 z)) (- (* (/ t (- 1.0 z)) x)))
0.0b
(/ t (- 1.0 z))
4.4b
(* (/ t (- 1.0 z)) x)
4.6b
(* (* x y) (/ 1 z))

rewrite168.0ms

Algorithm
rewrite-expression-head
Rules
50×add-sqr-sqrt
45×*-un-lft-identity
40×times-frac
33×add-exp-log
31×add-cube-cbrt
23×add-cbrt-cube
22×associate-*l*
16×associate-*r*
14×prod-exp
11×pow1
8×cbrt-unprod add-log-exp
7×distribute-lft-out-- difference-of-squares
6×div-exp
5×associate-/r*
4×cbrt-undiv expm1-log1p-u pow-prod-down associate-/r/ log1p-expm1-u
3×associate-*l/ div-inv associate-/l*
2×rec-exp flip3-- 1-exp associate-*r/ frac-add sum-log un-div-inv *-commutative flip-- distribute-neg-frac unswap-sqr
1×+-commutative neg-sub0 associate-+r- fma-def frac-2neg flip3-+ unsub-neg neg-log clear-num flip-+
Counts
4 → 141
Calls
4 calls:
48.0ms
(+ (* (* x y) (/ 1 z)) (- (* (/ t (- 1.0 z)) x)))
12.0ms
(/ t (- 1.0 z))
60.0ms
(* (/ t (- 1.0 z)) x)
35.0ms
(* (* x y) (/ 1 z))

series241.0ms

Counts
4 → 12
Calls
4 calls:
108.0ms
(+ (* (* x y) (/ 1 z)) (- (* (/ t (- 1.0 z)) x)))
56.0ms
(/ t (- 1.0 z))
55.0ms
(* (/ t (- 1.0 z)) x)
22.0ms
(* (* x y) (/ 1 z))

simplify3.7s

Counts
153 → 153
Iterations

Useful iterations: done (3.7s)

IterNodesCost
02641820
17591666
243961399
done50001395

prune595.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes233.0ms

Accuracy

2.6% (5.1b remaining)

Error of 5.1b against oracle of 0.0b and baseline of 5.2b

bsearch1.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02241
13241
23641
done3641

end0.0ms

sample1.7s

Algorithm
intervals
Results
635.0ms10102×body80valid