Details

Time bar (total: 15.5s)

sample59.0ms

Algorithm
intervals
Results
22.0ms272×body80valid

simplify851.0ms

Counts
1 → 1
Iterations
IterNodes
done5000
91412
8514
7233
6164
5138
4102
365
237
123
014

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 22.9b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b
(* z (- t a))
0.0b
(* z (- b y))
0.5b
(+ (* x y) (* z (- t a)))
22.2b
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

rewrite100.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
20×*-un-lft-identity
16×add-cube-cbrt
10×add-cbrt-cube associate-*r* add-exp-log
9×times-frac
8×pow1
6×distribute-rgt-in sub-neg distribute-lft-in associate-*l* add-log-exp
4×associate-+r+ associate-*r/
3×associate-/r* flip3-+ flip-+ associate-/l*
2×flip3-- pow-prod-down prod-exp associate-/r/ *-commutative cbrt-unprod flip-- distribute-lft-out-- difference-of-squares unswap-sqr associate-/l/
1×cbrt-undiv +-commutative clear-num sum-log frac-2neg div-exp div-inv
Counts
4 → 98
Calls
4 calls:
22.0ms
(* z (- t a))
24.0ms
(* z (- b y))
11.0ms
(+ (* x y) (* z (- t a)))
42.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

series551.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(* z (- t a))
55.0ms
(* z (- b y))
74.0ms
(+ (* x y) (* z (- t a)))
368.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify611.0ms

Counts
110 → 110
Iterations
IterNodes
done5000
21616
1428
0169

prune611.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 22.3b

localize45.0ms

Local error

Found 4 expressions with local error:

0.0b
(* z (- b y))
0.4b
(/ 1 (+ (* z (- b y)) y))
0.5b
(+ (* x y) (* z (- t a)))
22.2b
(* (+ (* x y) (* z (- t a))) (/ 1 (+ (* z (- b y)) y)))

rewrite156.0ms

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt
25×*-un-lft-identity
22×add-cube-cbrt
20×times-frac associate-*r*
19×add-exp-log
13×add-cbrt-cube
9×pow1
6×associate-*l* add-log-exp
5×flip3-+ prod-exp flip-+
4×distribute-rgt-in associate-+r+ sub-neg distribute-lft-in div-exp associate-/r/ unswap-sqr
3×associate-/r* associate-*r/ cbrt-unprod associate-/l*
2×frac-times cbrt-undiv rec-exp 1-exp pow-prod-down associate-*l/ *-commutative div-inv
1×+-commutative clear-num sum-log frac-2neg flip3-- un-div-inv pow-flip flip-- distribute-lft-out-- inv-pow difference-of-squares
Counts
4 → 116
Calls
4 calls:
25.0ms
(* z (- b y))
28.0ms
(/ 1 (+ (* z (- b y)) y))
9.0ms
(+ (* x y) (* z (- t a)))
88.0ms
(* (+ (* x y) (* z (- t a))) (/ 1 (+ (* z (- b y)) y)))

series634.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(* z (- b y))
76.0ms
(/ 1 (+ (* z (- b y)) y))
69.0ms
(+ (* x y) (* z (- t a)))
434.0ms
(* (+ (* x y) (* z (- t a))) (/ 1 (+ (* z (- b y)) y)))

simplify1.7s

Counts
128 → 128
Iterations
IterNodes
done5000
22707
1485
0176

prune705.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 22.3b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b
(* z (- b y))
0.4b
(/ 1 (/ (+ (* z (- b y)) y) (+ (* z (- t a)) (* x y))))
0.5b
(+ (* z (- t a)) (* x y))
22.2b
(/ (+ (* z (- b y)) y) (+ (* z (- t a)) (* x y)))

rewrite122.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
62×add-sqr-sqrt
60×*-un-lft-identity
58×add-cube-cbrt
19×add-exp-log
18×associate-/r*
13×add-cbrt-cube
11×associate-/r/
8×div-exp
7×pow1 flip3-+ flip-+
6×div-inv associate-/l* add-log-exp
5×associate-*r*
4×distribute-rgt-in cbrt-undiv associate-+l+ sub-neg distribute-lft-in
3×associate-*l*
2×rec-exp clear-num frac-2neg 1-exp associate-*r/ associate-/l/
1×+-commutative sum-log flip3-- pow-prod-down prod-exp *-commutative cbrt-unprod pow-flip flip-- distribute-lft-out-- inv-pow difference-of-squares unswap-sqr
Counts
4 → 156
Calls
4 calls:
26.0ms
(* z (- b y))
31.0ms
(/ 1 (/ (+ (* z (- b y)) y) (+ (* z (- t a)) (* x y))))
10.0ms
(+ (* z (- t a)) (* x y))
46.0ms
(/ (+ (* z (- b y)) y) (+ (* z (- t a)) (* x y)))

series836.0ms

Counts
4 → 12
Calls
4 calls:
53.0ms
(* z (- b y))
586.0ms
(/ 1 (/ (+ (* z (- b y)) y) (+ (* z (- t a)) (* x y))))
60.0ms
(+ (* z (- t a)) (* x y))
138.0ms
(/ (+ (* z (- b y)) y) (+ (* z (- t a)) (* x y)))

simplify1.3s

Counts
168 → 168
Iterations
IterNodes
done5001
23746
1665
0249

prune948.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 12.5b

localize31.0ms

Local error

Found 4 expressions with local error:

0.4b
(/ 1 (* (+ (* z (- b y)) y) (/ 1 (+ (* x y) (* (- t a) z)))))
0.4b
(/ 1 (+ (* x y) (* (- t a) z)))
0.5b
(+ (* x y) (* (- t a) z))
22.0b
(* (+ (* z (- b y)) y) (/ 1 (+ (* x y) (* (- t a) z))))

rewrite126.0ms

Algorithm
rewrite-expression-head
Rules
52×add-exp-log
29×add-sqr-sqrt
23×*-un-lft-identity times-frac
22×add-cube-cbrt
20×add-cbrt-cube div-exp
16×prod-exp
15×associate-*r*
10×pow1 rec-exp 1-exp associate-/r/
7×flip3-+ flip-+
6×cbrt-undiv associate-/l* add-log-exp
4×frac-times associate-/r* associate-*l/ cbrt-unprod
3×associate-*l* div-inv pow-flip unswap-sqr
2×clear-num frac-2neg pow-prod-down associate-*r/ un-div-inv inv-pow
1×+-commutative sum-log *-commutative
Counts
4 → 130
Calls
4 calls:
38.0ms
(/ 1 (* (+ (* z (- b y)) y) (/ 1 (+ (* x y) (* (- t a) z)))))
10.0ms
(/ 1 (+ (* x y) (* (- t a) z)))
7.0ms
(+ (* x y) (* (- t a) z))
67.0ms
(* (+ (* z (- b y)) y) (/ 1 (+ (* x y) (* (- t a) z))))

series835.0ms

Counts
4 → 12
Calls
4 calls:
609.0ms
(/ 1 (* (+ (* z (- b y)) y) (/ 1 (+ (* x y) (* (- t a) z)))))
64.0ms
(/ 1 (+ (* x y) (* (- t a) z)))
50.0ms
(+ (* x y) (* (- t a) z))
111.0ms
(* (+ (* z (- b y)) y) (/ 1 (+ (* x y) (* (- t a) z))))

simplify1.7s

Counts
142 → 142
Iterations
IterNodes
done5000
23343
1538
0178

prune634.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 8.3b

regimes1.1s

Accuracy

32.8% (8.2b remaining)

Error of 19.1b against oracle of 10.8b and baseline of 23.1b

bsearch119.0ms

Steps
ItersRangePoint
6
1.770057870633885e+84
1.5192017912580791e+85
1.500183368090721e+85
8
-2.8861031894113186e+168
-3.35691658268957e+164
-4.812224200595294e+164

simplify6.0ms

Iterations
IterNodes
done37
237
136
025

end0.0ms

sample1.6s

Algorithm
intervals
Results
677.0ms8417×body80valid