Details

Time bar (total: 29.6s)

sample48.0ms

Algorithm
intervals
Results
26.0ms267×body80valid

simplify2.9s

Counts
1 → 1
Iterations
IterNodes
done5000
83253
71321
6488
5206
4113
364
239
125
013

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.1b

localize35.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* t z) x)
0.0b
(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
9.0b
(/ (- (* y z) x) (- (* t z) x))

rewrite310.0ms

Algorithm
rewrite-expression-head
Rules
42×*-un-lft-identity
25×times-frac
22×add-sqr-sqrt add-cube-cbrt
10×distribute-lft-out
7×associate-/r* add-cbrt-cube add-exp-log associate-/l*
5×add-log-exp
4×associate-/r/ associate-/l/
3×expm1-log1p-u pow1 flip3-- div-sub prod-diff insert-posit16 log1p-expm1-u flip--
2×cbrt-undiv clear-num frac-2neg flip3-+ div-exp flip-+ div-inv
1×associate-+r- sub-neg fma-neg diff-log
Counts
3 → 98
Calls
3 calls:
20.0ms
(- (* t z) x)
223.0ms
(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
62.0ms
(/ (- (* y z) x) (- (* t z) x))

series299.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(- (* t z) x)
184.0ms
(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
78.0ms
(/ (- (* y z) x) (- (* t z) x))

simplify2.2s

Counts
107 → 107
Iterations
IterNodes
done5001
21474
1467
0177

prune688.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.2b

localize43.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ (* y z) (- (* t z) x)) (/ x (- (* t z) x)))
0.0b
(/ (+ x (- (/ (* y z) (- (* t z) x)) (/ x (- (* t z) x)))) (+ x 1.0))
3.3b
(/ x (- (* t z) x))
9.5b
(/ (* y z) (- (* t z) x))

rewrite1.4s

Algorithm
rewrite-expression-head
Rules
162×times-frac
159×*-un-lft-identity
135×prod-diff
125×add-sqr-sqrt
120×add-cube-cbrt
60×associate-/r/
30×flip3-- div-inv flip--
16×distribute-lft-out
13×add-cbrt-cube add-exp-log
10×associate-/r*
9×fma-neg associate-/l*
6×distribute-lft-out-- add-log-exp
4×expm1-log1p-u pow1 cbrt-undiv div-exp insert-posit16 log1p-expm1-u
3×clear-num frac-2neg distribute-rgt-out--
2×flip3-+ flip-+ difference-of-squares associate-/l/
1×associate-+r- sub-neg diff-log div-sub prod-exp frac-sub cbrt-unprod sub-div
Counts
4 → 274
Calls
4 calls:
175.0ms
(- (/ (* y z) (- (* t z) x)) (/ x (- (* t z) x)))
1.2s
(/ (+ x (- (/ (* y z) (- (* t z) x)) (/ x (- (* t z) x)))) (+ x 1.0))
39.0ms
(/ x (- (* t z) x))
23.0ms
(/ (* y z) (- (* t z) x))

series441.0ms

Counts
4 → 12
Calls
4 calls:
100.0ms
(- (/ (* y z) (- (* t z) x)) (/ x (- (* t z) x)))
216.0ms
(/ (+ x (- (/ (* y z) (- (* t z) x)) (/ x (- (* t z) x)))) (+ x 1.0))
75.0ms
(/ x (- (* t z) x))
49.0ms
(/ (* y z) (- (* t z) x))

simplify2.8s

Counts
286 → 286
Iterations
IterNodes
done5000
23140
11030
0406

prune1.9s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize54.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (+ x (- (/ y (/ (- (* t z) x) z)) (/ x (- (* t z) x)))) (+ x 1.0))
2.5b
(/ y (/ (- (* t z) x) z))
3.3b
(/ x (- (* t z) x))
8.3b
(/ (- (* t z) x) z)

rewrite1.5s

Algorithm
rewrite-expression-head
Rules
113×times-frac
110×*-un-lft-identity
73×add-sqr-sqrt add-cube-cbrt
23×associate-/r*
16×distribute-lft-out
15×add-cbrt-cube add-exp-log
14×associate-/l*
8×div-inv
6×cbrt-undiv div-exp
5×associate-/r/ distribute-lft-out--
4×expm1-log1p-u pow1 clear-num frac-2neg insert-posit16 log1p-expm1-u add-log-exp associate-/l/
2×flip3-+ flip3-- div-sub flip-+ flip--
1×associate-+r-
Counts
4 → 187
Calls
4 calls:
1.4s
(/ (+ x (- (/ y (/ (- (* t z) x) z)) (/ x (- (* t z) x)))) (+ x 1.0))
17.0ms
(/ y (/ (- (* t z) x) z))
20.0ms
(/ x (- (* t z) x))
54.0ms
(/ (- (* t z) x) z)

series472.0ms

Counts
4 → 12
Calls
4 calls:
232.0ms
(/ (+ x (- (/ y (/ (- (* t z) x) z)) (/ x (- (* t z) x)))) (+ x 1.0))
59.0ms
(/ y (/ (- (* t z) x) z))
104.0ms
(/ x (- (* t z) x))
76.0ms
(/ (- (* t z) x) z)

simplify2.2s

Counts
199 → 199
Iterations
IterNodes
done5002
22518
1747
0296

prune1.2s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ y (- t (/ x z))) (/ x (- (* t z) x)))
0.0b
(/ (+ x (- (/ y (- t (/ x z))) (/ x (- (* t z) x)))) (+ x 1.0))
2.5b
(/ y (- t (/ x z)))
3.3b
(/ x (- (* t z) x))

rewrite1.7s

Algorithm
rewrite-expression-head
Rules
634×add-sqr-sqrt
611×times-frac
514×*-un-lft-identity
362×add-cube-cbrt
360×prod-diff
108×difference-of-squares
86×associate-/r/
61×distribute-lft-out--
43×flip3-- div-inv flip--
24×fma-neg
16×distribute-lft-out
13×associate-/r*
11×associate-/l*
10×add-cbrt-cube add-exp-log
6×add-log-exp
4×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u
3×cbrt-undiv clear-num frac-2neg div-exp
2×flip3-+ flip-+ associate-/l/
1×associate-+r- sub-neg diff-log div-sub frac-sub
Counts
4 → 532
Calls
4 calls:
223.0ms
(- (/ y (- t (/ x z))) (/ x (- (* t z) x)))
1.4s
(/ (+ x (- (/ y (- t (/ x z))) (/ x (- (* t z) x)))) (+ x 1.0))
32.0ms
(/ y (- t (/ x z)))
17.0ms
(/ x (- (* t z) x))

series443.0ms

Counts
4 → 12
Calls
4 calls:
108.0ms
(- (/ y (- t (/ x z))) (/ x (- (* t z) x)))
191.0ms
(/ (+ x (- (/ y (- t (/ x z))) (/ x (- (* t z) x)))) (+ x 1.0))
41.0ms
(/ y (- t (/ x z)))
102.0ms
(/ x (- (* t z) x))

simplify2.8s

Counts
544 → 544
Iterations
IterNodes
done5000
23708
11453
0631

prune4.3s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes243.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done18
118
015

end0.0ms

sample1.6s

Algorithm
intervals
Results
1.3s8330×body80valid