Details

Time bar (total: 17.7s)

sample38.0ms

Algorithm
intervals
Results
15.0ms262×body80valid

simplify1.5s

Counts
1 → 1
Iterations
IterNodes
done5000
72841
6706
5238
4102
360
235
123
013

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.9b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (/ (- (* y z) x) (- (* t z) x)))
0.0b
(- (* y z) x)
0.7b
(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
10.3b
(/ (- (* y z) x) (- (* t z) x))

rewrite214.0ms

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-cbrt-cube add-exp-log add-log-exp
7×associate-/r* associate-/l*
4×pow1 div-sub associate-/r/ associate-/l/
3×flip3-+ flip3-- flip-+ flip--
2×cbrt-undiv clear-num associate-+r- frac-2neg div-exp div-inv
1×+-commutative sum-log sub-neg diff-log
Counts
4 → 98
Calls
4 calls:
48.0ms
(+ x (/ (- (* y z) x) (- (* t z) x)))
6.0ms
(- (* y z) x)
125.0ms
(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
33.0ms
(/ (- (* y z) x) (- (* t z) x))

series386.0ms

Counts
4 → 12
Calls
4 calls:
134.0ms
(+ x (/ (- (* y z) x) (- (* t z) x)))
35.0ms
(- (* y z) x)
140.0ms
(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
76.0ms
(/ (- (* y z) x) (- (* t z) x))

simplify1.5s

Counts
110 → 110
Iterations
IterNodes
done5001
21746
1412
0158

prune659.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 1.2b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* y z) x)
0.2b
(/ 1 (/ (- (* t z) x) (- (* y z) x)))
0.7b
(/ (+ x (/ 1 (/ (- (* t z) x) (- (* y z) x)))) (+ x 1.0))
10.4b
(/ (- (* t z) x) (- (* y z) x))

rewrite230.0ms

Algorithm
rewrite-expression-head
Rules
110×times-frac
94×*-un-lft-identity
67×add-sqr-sqrt add-cube-cbrt
22×associate-/r*
19×add-exp-log
16×distribute-lft-out
13×add-cbrt-cube associate-/r/
12×div-inv
11×associate-/l*
9×div-exp
7×flip3-- flip--
6×add-log-exp
5×pow1 cbrt-undiv
4×associate-/l/
3×clear-num frac-2neg
2×rec-exp flip3-+ 1-exp flip-+
1×sub-neg diff-log div-sub pow-flip inv-pow
Counts
4 → 173
Calls
4 calls:
6.0ms
(- (* y z) x)
23.0ms
(/ 1 (/ (- (* t z) x) (- (* y z) x)))
171.0ms
(/ (+ x (/ 1 (/ (- (* t z) x) (- (* y z) x)))) (+ x 1.0))
25.0ms
(/ (- (* t z) x) (- (* y z) x))

series436.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(- (* y z) x)
125.0ms
(/ 1 (/ (- (* t z) x) (- (* y z) x)))
206.0ms
(/ (+ x (/ 1 (/ (- (* t z) x) (- (* y z) x)))) (+ x 1.0))
76.0ms
(/ (- (* t z) x) (- (* y z) x))

simplify1.8s

Counts
185 → 185
Iterations
IterNodes
done5000
23521
1681
0260

prune1.0s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 1.2b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* y z) x)
0.5b
(/ 1 (- (* t z) x))
0.7b
(/ (+ x (* (/ 1 (- (* t z) x)) (- (* y z) x))) (+ x 1.0))
9.7b
(* (/ 1 (- (* t z) x)) (- (* y z) x))

rewrite145.0ms

Algorithm
rewrite-expression-head
Rules
38×*-un-lft-identity
36×add-sqr-sqrt
32×times-frac
29×add-cube-cbrt
19×add-exp-log
15×associate-*l*
13×add-cbrt-cube
7×pow1 associate-/r*
6×associate-/r/ associate-/l* add-log-exp
5×flip3-- div-exp flip--
4×prod-exp distribute-lft-out
3×cbrt-undiv sub-neg associate-*r* div-inv unswap-sqr
2×distribute-rgt-in frac-times rec-exp clear-num frac-2neg distribute-lft-in flip3-+ 1-exp associate-*r/ cbrt-unprod flip-+ associate-/l/
1×diff-log pow-prod-down associate-*l/ *-commutative pow-flip inv-pow
Counts
4 → 125
Calls
4 calls:
9.0ms
(- (* y z) x)
19.0ms
(/ 1 (- (* t z) x))
34.0ms
(/ (+ x (* (/ 1 (- (* t z) x)) (- (* y z) x))) (+ x 1.0))
77.0ms
(* (/ 1 (- (* t z) x)) (- (* y z) x))

series353.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(- (* y z) x)
29.0ms
(/ 1 (- (* t z) x))
184.0ms
(/ (+ x (* (/ 1 (- (* t z) x)) (- (* y z) x))) (+ x 1.0))
116.0ms
(* (/ 1 (- (* t z) x)) (- (* y z) x))

simplify1.8s

Counts
137 → 137
Iterations
IterNodes
done5000
22964
1530
0197

prune785.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 1.2b

localize37.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 1 (* (- (* t z) x) (/ 1 (- (* y z) x))))
0.6b
(/ 1 (- (* y z) x))
0.7b
(/ (+ x (/ 1 (* (- (* t z) x) (/ 1 (- (* y z) x))))) (+ x 1.0))
10.3b
(* (- (* t z) x) (/ 1 (- (* y z) x)))

rewrite203.0ms

Algorithm
rewrite-expression-head
Rules
61×*-un-lft-identity
54×add-exp-log
43×times-frac
40×add-sqr-sqrt
33×add-cube-cbrt
22×add-cbrt-cube
21×div-exp
16×prod-exp distribute-lft-out
15×associate-*r*
12×associate-/r/
11×associate-/l*
10×pow1 rec-exp 1-exp
9×div-inv
8×associate-/r*
7×cbrt-undiv
6×flip3-- flip--
4×frac-times associate-*l/ cbrt-unprod add-log-exp
3×clear-num frac-2neg associate-*l* pow-flip unswap-sqr
2×flip3-+ pow-prod-down associate-*r/ un-div-inv flip-+ inv-pow associate-/l/
1×*-commutative
Counts
4 → 164
Calls
4 calls:
37.0ms
(/ 1 (* (- (* t z) x) (/ 1 (- (* y z) x))))
13.0ms
(/ 1 (- (* y z) x))
99.0ms
(/ (+ x (/ 1 (* (- (* t z) x) (/ 1 (- (* y z) x))))) (+ x 1.0))
50.0ms
(* (- (* t z) x) (/ 1 (- (* y z) x)))

series456.0ms

Counts
4 → 12
Calls
4 calls:
115.0ms
(/ 1 (* (- (* t z) x) (/ 1 (- (* y z) x))))
37.0ms
(/ 1 (- (* y z) x))
215.0ms
(/ (+ x (/ 1 (* (- (* t z) x) (/ 1 (- (* y z) x))))) (+ x 1.0))
89.0ms
(* (- (* t z) x) (/ 1 (- (* y z) x)))

simplify3.3s

Counts
176 → 176
Iterations
IterNodes
done5002
24213
1612
0223

prune711.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 1.2b

regimes457.0ms

Accuracy

57.3% (2.7b remaining)

Error of 3.7b against oracle of 1.0b and baseline of 7.3b

bsearch156.0ms

Steps
ItersRangePoint
8
2.0129849073113435e+131
8.804670217430036e+133
2.6537477448810454e+131
10
-5.2576667323477315e+85
-5.542941488631225e+70
-5.021372688236871e+81

simplify5.0ms

Iterations
IterNodes
done35
135
024

end0.0ms

sample1.5s

Algorithm
intervals
Results
1.0s8347×body80valid