Details

Time bar (total: 15.1s)

sample29.0ms

Algorithm
intervals
Results
13.0ms269×body80valid

simplify1.4s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01317
12317
23517
36017
410317
524017
668317
7269817
done500117

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.9b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (/ (- (* y z) x) (- (* t z) x)))
0.0b
(- (* y z) x)
0.3b
(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
8.1b
(/ (- (* y z) x) (- (* t z) x))

rewrite268.0ms

Algorithm
rewrite-expression-head
Rules
44×*-un-lft-identity
25×times-frac
22×add-sqr-sqrt add-cube-cbrt
11×distribute-lft-out
8×add-exp-log add-cbrt-cube add-log-exp
7×associate-/r* associate-/l*
4×pow1 div-sub associate-/r/ associate-/l/
3×flip3-- flip3-+ flip-- flip-+
2×cbrt-undiv associate-+r- frac-2neg div-exp clear-num div-inv
1×+-commutative sub-neg diff-log sum-log
Counts
4 → 98
Calls
4 calls:
40.0ms
(+ x (/ (- (* y z) x) (- (* t z) x)))
17.0ms
(- (* y z) x)
151.0ms
(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
56.0ms
(/ (- (* y z) x) (- (* t z) x))

series445.0ms

Counts
4 → 12
Calls
4 calls:
126.0ms
(+ x (/ (- (* y z) x) (- (* t z) x)))
25.0ms
(- (* y z) x)
190.0ms
(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
103.0ms
(/ (- (* y z) x) (- (* t z) x))

simplify851.0ms

Counts
110 → 110
Iterations

Useful iterations: done (846.0ms)

IterNodesCost
01582130
14122046
217471922
done50001920

prune379.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.7b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (+ x (/ (* y z) (- (* t z) x))) (/ x (- (* t z) x)))
0.3b
(/ (- (+ x (/ (* y z) (- (* t z) x))) (/ x (- (* t z) x))) (+ x 1.0))
2.5b
(/ x (- (* t z) x))
9.2b
(/ (* y z) (- (* t z) x))

rewrite1.1s

Algorithm
rewrite-expression-head
Rules
73×*-un-lft-identity
57×add-sqr-sqrt
46×times-frac
27×add-cube-cbrt
14×distribute-lft-out
13×add-exp-log add-cbrt-cube
12×distribute-lft-out-- difference-of-squares
11×associate-/l*
10×associate-/r*
9×add-log-exp
6×associate-/r/
4×pow1 cbrt-undiv flip3-- div-exp frac-sub flip-- associate-/l/
3×frac-2neg flip3-+ clear-num flip-+ div-inv
2×diff-log
1×sub-neg div-sub prod-exp associate--l+ sum-log cbrt-unprod
Counts
4 → 130
Calls
4 calls:
311.0ms
(- (+ x (/ (* y z) (- (* t z) x))) (/ x (- (* t z) x)))
701.0ms
(/ (- (+ x (/ (* y z) (- (* t z) x))) (/ x (- (* t z) x))) (+ x 1.0))
14.0ms
(/ x (- (* t z) x))
20.0ms
(/ (* y z) (- (* t z) x))

series733.0ms

Counts
4 → 12
Calls
4 calls:
454.0ms
(- (+ x (/ (* y z) (- (* t z) x))) (/ x (- (* t z) x)))
153.0ms
(/ (- (+ x (/ (* y z) (- (* t z) x))) (/ x (- (* t z) x))) (+ x 1.0))
68.0ms
(/ x (- (* t z) x))
57.0ms
(/ (* y z) (- (* t z) x))

simplify1.5s

Counts
142 → 142
Iterations

Useful iterations: 2 (470.0ms)

IterNodesCost
02183552
15773418
226933240
done50013240

prune449.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.2b

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (- (+ x (* y (/ z (- (* t z) x)))) (/ x (- (* t z) x))) (+ x 1.0))
2.5b
(/ x (- (* t z) x))
3.0b
(* y (/ z (- (* t z) x)))
6.4b
(/ z (- (* t z) x))

rewrite261.0ms

Algorithm
rewrite-expression-head
Rules
70×add-sqr-sqrt
64×*-un-lft-identity
57×times-frac
40×add-cube-cbrt
15×add-exp-log associate-*r* add-cbrt-cube
12×associate-/l*
10×associate-/r* difference-of-squares
8×associate-/r/
7×distribute-lft-out
6×pow1
5×distribute-lft-out--
4×cbrt-undiv flip3-- div-exp flip-- div-inv associate-/l/ add-log-exp
3×frac-2neg associate-*l* clear-num
2×flip3-+ prod-exp frac-sub cbrt-unprod flip-+ unswap-sqr
1×div-sub associate-*r/ pow-prod-down *-commutative
Counts
4 → 145
Calls
4 calls:
162.0ms
(/ (- (+ x (* y (/ z (- (* t z) x)))) (/ x (- (* t z) x))) (+ x 1.0))
23.0ms
(/ x (- (* t z) x))
53.0ms
(* y (/ z (- (* t z) x)))
15.0ms
(/ z (- (* t z) x))

series368.0ms

Counts
4 → 12
Calls
4 calls:
174.0ms
(/ (- (+ x (* y (/ z (- (* t z) x)))) (/ x (- (* t z) x))) (+ x 1.0))
88.0ms
(/ x (- (* t z) x))
60.0ms
(* y (/ z (- (* t z) x)))
46.0ms
(/ z (- (* t z) x))

simplify1.3s

Counts
157 → 157
Iterations

Useful iterations: done (1.3s)

IterNodesCost
02313202
15993120
225382928
done50012922

prune567.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.2b

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (- (+ x (/ (* y z) (- (* t z) x))) (/ 1 (/ (- (* t z) x) x))) (+ x 1.0))
0.5b
(/ 1 (/ (- (* t z) x) x))
2.4b
(/ (- (* t z) x) x)
9.2b
(/ (* y z) (- (* t z) x))

rewrite880.0ms

Algorithm
rewrite-expression-head
Rules
165×times-frac
150×*-un-lft-identity
144×add-sqr-sqrt
74×add-cube-cbrt
25×difference-of-squares
24×add-exp-log
23×associate-/r* distribute-lft-out
20×distribute-lft-out--
19×associate-/l*
18×add-cbrt-cube div-inv
11×div-exp
7×cbrt-undiv
6×associate-/l/
5×pow1 associate-/r/
4×frac-2neg clear-num add-log-exp
3×flip3-- flip--
2×rec-exp flip3-+ 1-exp div-sub frac-sub flip-+
1×pow-flip prod-exp cbrt-unprod inv-pow
Counts
4 → 212
Calls
4 calls:
763.0ms
(/ (- (+ x (/ (* y z) (- (* t z) x))) (/ 1 (/ (- (* t z) x) x))) (+ x 1.0))
18.0ms
(/ 1 (/ (- (* t z) x) x))
39.0ms
(/ (- (* t z) x) x)
49.0ms
(/ (* y z) (- (* t z) x))

series340.0ms

Counts
4 → 12
Calls
4 calls:
181.0ms
(/ (- (+ x (/ (* y z) (- (* t z) x))) (/ 1 (/ (- (* t z) x) x))) (+ x 1.0))
50.0ms
(/ 1 (/ (- (* t z) x) x))
50.0ms
(/ (- (* t z) x) x)
60.0ms
(/ (* y z) (- (* t z) x))

simplify2.0s

Counts
224 → 224
Iterations

Useful iterations: done (2.0s)

IterNodesCost
03265470
18895148
244894930
done50004928

prune704.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.2b

regimes131.0ms

Accuracy

0% (1.8b remaining)

Error of 2.1b against oracle of 0.3b and baseline of 2.1b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01423
11823
done1823

end0.0ms

sample1.3s

Algorithm
intervals
Results
819.0ms8344×body80valid