Details

Time bar (total: 19.5s)

sample36.0ms

Algorithm
intervals
Results
14.0ms275×body80valid

simplify930.0ms

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

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.2b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b
(* z (- t a))
0.0b
(* z (- b y))
1.7b
(+ (* x y) (* z (- t a)))
26.3b
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

rewrite90.0ms

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:
16.0ms
(* z (- t a))
17.0ms
(* z (- b y))
15.0ms
(+ (* x y) (* z (- t a)))
36.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

series661.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(* z (- t a))
60.0ms
(* z (- b y))
68.0ms
(+ (* x y) (* z (- t a)))
491.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify847.0ms

Counts
110 → 110
Iterations
IterNodes
done5000
21616
1428
0169

prune759.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 26.5b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(* z (- b y))
0.5b
(/ 1 (+ (* z (- b y)) y))
1.7b
(+ (* x y) (* z (- t a)))
25.8b
(* (+ (* x y) (* z (- t a))) (/ 1 (+ (* z (- b y)) y)))

rewrite107.0ms

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:
22.0ms
(* z (- b y))
18.0ms
(/ 1 (+ (* z (- b y)) y))
7.0ms
(+ (* x y) (* z (- t a)))
55.0ms
(* (+ (* x y) (* z (- t a))) (/ 1 (+ (* z (- b y)) y)))

series682.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(* z (- b y))
83.0ms
(/ 1 (+ (* z (- b y)) y))
67.0ms
(+ (* x y) (* z (- t a)))
470.0ms
(* (+ (* x y) (* z (- t a))) (/ 1 (+ (* z (- b y)) y)))

simplify2.0s

Counts
128 → 128
Iterations
IterNodes
done5000
22707
1485
0176

prune785.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 26.5b

localize21.0ms

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))))
1.7b
(+ (* z (- t a)) (* x y))
26.4b
(/ (+ (* z (- b y)) y) (+ (* z (- t a)) (* x y)))

rewrite141.0ms

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:
17.0ms
(* z (- b y))
50.0ms
(/ 1 (/ (+ (* z (- b y)) y) (+ (* z (- t a)) (* x y))))
11.0ms
(+ (* z (- t a)) (* x y))
58.0ms
(/ (+ (* z (- b y)) y) (+ (* z (- t a)) (* x y)))

series959.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(* z (- b y))
697.0ms
(/ 1 (/ (+ (* z (- b y)) y) (+ (* z (- t a)) (* x y))))
61.0ms
(+ (* z (- t a)) (* x y))
149.0ms
(/ (+ (* z (- b y)) y) (+ (* z (- t a)) (* x y)))

simplify1.5s

Counts
168 → 168
Iterations
IterNodes
done5001
23746
1665
0249

prune852.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 17.4b

localize30.0ms

Local error

Found 4 expressions with local error:

11.7b
(* (/ (/ 1 (cbrt (+ y (* (- b y) z)))) (cbrt (+ y (* (- b y) z)))) (/ (+ (* x y) (* (- t a) z)) (cbrt (+ y (* (- b y) z)))))
16.9b
(cbrt (+ y (* (- b y) z)))
16.9b
(cbrt (+ y (* (- b y) z)))
16.9b
(cbrt (+ y (* (- b y) z)))

rewrite210.0ms

Algorithm
rewrite-expression-head
Rules
348×times-frac
282×add-sqr-sqrt
183×cbrt-prod
159×*-un-lft-identity
150×associate-*l*
147×add-cube-cbrt
39×add-exp-log
36×unswap-sqr
24×associate-*r*
22×cbrt-div
17×div-exp
16×add-cbrt-cube associate-/r/
11×flip3-+ flip-+ div-inv
10×prod-exp
9×cbrt-undiv
6×pow1 cbrt-unprod
4×add-log-exp
3×pow1/3
2×rec-exp 1-exp
1×frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
4 → 277
Calls
4 calls:
180.0ms
(* (/ (/ 1 (cbrt (+ y (* (- b y) z)))) (cbrt (+ y (* (- b y) z)))) (/ (+ (* x y) (* (- t a) z)) (cbrt (+ y (* (- b y) z)))))
3.0ms
(cbrt (+ y (* (- b y) z)))
8.0ms
(cbrt (+ y (* (- b y) z)))
3.0ms
(cbrt (+ y (* (- b y) z)))

series1.9s

Counts
4 → 12
Calls
4 calls:
1.0s
(* (/ (/ 1 (cbrt (+ y (* (- b y) z)))) (cbrt (+ y (* (- b y) z)))) (/ (+ (* x y) (* (- t a) z)) (cbrt (+ y (* (- b y) z)))))
297.0ms
(cbrt (+ y (* (- b y) z)))
284.0ms
(cbrt (+ y (* (- b y) z)))
308.0ms
(cbrt (+ y (* (- b y) z)))

simplify590.0ms

Counts
289 → 289
Iterations
IterNodes
done5000
11217
0367

prune2.8s

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 17.4b

regimes1.8s

Accuracy

43.9% (4.7b remaining)

Error of 19.6b against oracle of 14.9b and baseline of 23.2b

bsearch155.0ms

Steps
ItersRangePoint
11
7.688672617548883e+59
1.8652761479291097e+80
3.9544459558456954e+76
8
-2.0700515967326768e+49
-3.6339803350820565e+44
-2.034080329997318e+49

simplify5.0ms

Iterations
IterNodes
done36
136
025

end0.0ms

sample1.6s

Algorithm
intervals
Results
878.0ms8413×body80valid