Details

Time bar (total: 21.7s)

sample54.0ms

Algorithm
intervals
Results
20.0ms272×body80valid

simplify822.0ms

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: 22.9b

localize25.0ms

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))))

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:
18.0ms
(* z (- t a))
24.0ms
(* z (- b y))
9.0ms
(+ (* x y) (* z (- t a)))
35.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

series519.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(* z (- t a))
41.0ms
(* z (- b y))
48.0ms
(+ (* x y) (* z (- t a)))
392.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify1.5s

Counts
110 → 110
Iterations
IterNodes
done5000
21616
1428
0169

prune766.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 22.3b

localize38.0ms

Local error

Found 4 expressions with local error:

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

rewrite102.0ms

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:
24.0ms
(* z (- b y))
11.0ms
(/ 1 (+ y (* z (- b y))))
10.0ms
(+ (* x y) (* z (- t a)))
52.0ms
(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

series687.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(* z (- b y))
121.0ms
(/ 1 (+ y (* z (- b y))))
61.0ms
(+ (* x y) (* z (- t a)))
455.0ms
(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

simplify1.7s

Counts
128 → 128
Iterations
IterNodes
done5001
22721
1486
0176

prune791.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 22.3b

localize27.0ms

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

rewrite95.0ms

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:
23.0ms
(* z (- b y))
26.0ms
(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
15.0ms
(+ (* x y) (* z (- t a)))
24.0ms
(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

series1.6s

Counts
4 → 12
Calls
4 calls:
60.0ms
(* z (- b y))
1.2s
(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
65.0ms
(+ (* x y) (* z (- t a)))
352.0ms
(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

simplify2.0s

Counts
168 → 168
Iterations
IterNodes
done5002
23394
1649
0244

prune1.4s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 22.3b

localize36.0ms

Local error

Found 4 expressions with local error:

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

rewrite119.0ms

Algorithm
rewrite-expression-head
Rules
531×times-frac
244×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
69×associate-/r/
52×add-exp-log
36×div-exp
35×flip3-+ flip-+ div-inv
21×associate-/r* associate-/l*
20×add-cbrt-cube
10×cbrt-undiv rec-exp 1-exp
6×pow1 add-log-exp
4×associate-+r+
3×clear-num frac-2neg
2×distribute-rgt-in sub-neg distribute-lft-in pow-flip inv-pow
1×+-commutative sum-log associate-/l/
Counts
4 → 368
Calls
4 calls:
13.0ms
(/ 1 (+ (* x y) (* z (- t a))))
13.0ms
(/ 1 (+ y (* z (- b y))))
12.0ms
(+ (* x y) (* z (- t a)))
48.0ms
(/ (/ 1 (+ y (* z (- b y)))) (/ 1 (+ (* x y) (* z (- t a)))))

series1.3s

Counts
4 → 12
Calls
4 calls:
98.0ms
(/ 1 (+ (* x y) (* z (- t a))))
124.0ms
(/ 1 (+ y (* z (- b y))))
62.0ms
(+ (* x y) (* z (- t a)))
1.0s
(/ (/ 1 (+ y (* z (- b y)))) (/ 1 (+ (* x y) (* z (- t a)))))

simplify1.8s

Counts
380 → 380
Iterations
IterNodes
done5001
11896
0539

prune3.0s

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 22.3b

regimes1.1s

Accuracy

0% (0.7b remaining)

Error of 23.2b against oracle of 22.5b and baseline of 23.2b

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done24
124
016

end0.0ms

sample2.1s

Algorithm
intervals
Results
797.0ms8417×body80valid