Details

Time bar (total: 19.2s)

sample30.0ms

Algorithm
intervals
Results
13.0ms273×body80valid

simplify885.0ms

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 22.2b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b
(* z (- t a))
0.0b
(* z (- b y))
0.7b
(+ (* x y) (* z (- t a)))
21.6b
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

rewrite91.0ms

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:
24.0ms
(* z (- t a))
25.0ms
(* z (- b y))
8.0ms
(+ (* x y) (* z (- t a)))
30.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

series613.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(* z (- t a))
37.0ms
(* z (- b y))
62.0ms
(+ (* x y) (* z (- t a)))
476.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify1.1s

Counts
110 → 110
Iterations
IterNodes
done5000
21616
1428
0169

prune725.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 21.6b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b
(* z (- b y))
0.3b
(/ 1 (+ y (* z (- b y))))
0.7b
(+ (* x y) (* z (- t a)))
21.7b
(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

rewrite91.0ms

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:
19.0ms
(* z (- b y))
8.0ms
(/ 1 (+ y (* z (- b y))))
13.0ms
(+ (* x y) (* z (- t a)))
46.0ms
(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

series651.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(* z (- b y))
96.0ms
(/ 1 (+ y (* z (- b y))))
68.0ms
(+ (* x y) (* z (- t a)))
446.0ms
(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

simplify1.9s

Counts
128 → 128
Iterations
IterNodes
done5001
22721
1486
0176

prune734.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 21.6b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b
(* z (- b y))
0.4b
(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
0.7b
(+ (* x y) (* z (- t a)))
21.6b
(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

rewrite90.0ms

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-+r+ 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:
25.0ms
(* z (- b y))
18.0ms
(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
8.0ms
(+ (* x y) (* z (- t a)))
30.0ms
(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

series1.5s

Counts
4 → 12
Calls
4 calls:
51.0ms
(* z (- b y))
1.1s
(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
64.0ms
(+ (* x y) (* z (- t a)))
368.0ms
(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

simplify2.0s

Counts
168 → 168
Iterations
IterNodes
done5002
23394
1649
0244

prune1.1s

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 21.6b

localize46.0ms

Local error

Found 4 expressions with local error:

0.4b
(/ 1 (* (+ y (* z (- b y))) (/ 1 (+ (* x y) (* z (- t a))))))
0.7b
(/ 1 (+ (* x y) (* z (- t a))))
0.7b
(+ (* x y) (* z (- t a)))
21.2b
(* (+ y (* z (- b y))) (/ 1 (+ (* x y) (* z (- t a)))))

rewrite114.0ms

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-/r* associate-*l/ cbrt-unprod
3×associate-*l* div-inv pow-flip unswap-sqr
2×distribute-rgt-in clear-num sub-neg frac-2neg distribute-lft-in pow-prod-down associate-*r/ un-div-inv inv-pow
1×+-commutative sum-log *-commutative
Counts
4 → 134
Calls
4 calls:
34.0ms
(/ 1 (* (+ y (* z (- b y))) (/ 1 (+ (* x y) (* z (- t a))))))
23.0ms
(/ 1 (+ (* x y) (* z (- t a))))
12.0ms
(+ (* x y) (* z (- t a)))
40.0ms
(* (+ y (* z (- b y))) (/ 1 (+ (* x y) (* z (- t a)))))

series1.6s

Counts
4 → 12
Calls
4 calls:
1.1s
(/ 1 (* (+ y (* z (- b y))) (/ 1 (+ (* x y) (* z (- t a))))))
76.0ms
(/ 1 (+ (* x y) (* z (- t a))))
66.0ms
(+ (* x y) (* z (- t a)))
392.0ms
(* (+ y (* z (- b y))) (/ 1 (+ (* x y) (* z (- t a)))))

simplify2.7s

Counts
146 → 146
Iterations
IterNodes
done5000
23463
1538
0178

prune787.0ms

Pruning

12 alts after pruning (8 fresh and 4 done)

Merged error: 21.6b

regimes1.0s

Accuracy

0% (0.6b remaining)

Error of 23.0b against oracle of 22.4b and baseline of 23.0b

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done19
119
014

end0.0ms

sample1.2s

Algorithm
intervals
Results
797.0ms8421×body80valid