Details

Time bar (total: 43.1s)

sample97.0ms

Algorithm
intervals
Results
33.0ms266×body80valid

simplify4.2s

Counts
1 → 1
Iterations
IterNodes
done5002
101775
9710
8365
7203
6134
5114
495
365
237
123
014

prune23.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 25.6b

localize169.0ms

Local error

Found 4 expressions with local error:

0.0b
(* z (- b y))
0.0b
(* z (- t a))
0.5b
(+ (* x y) (* z (- t a)))
24.7b
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

rewrite261.0ms

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/ insert-posit16
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 → 102
Calls
4 calls:
55.0ms
(* z (- b y))
49.0ms
(* z (- t a))
29.0ms
(+ (* x y) (* z (- t a)))
122.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

series1.0s

Counts
4 → 12
Calls
4 calls:
68.0ms
(* z (- b y))
91.0ms
(* z (- t a))
90.0ms
(+ (* x y) (* z (- t a)))
775.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify3.2s

Counts
114 → 114
Iterations
IterNodes
done5000
21317
1428
0173

prune1.6s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 24.8b

localize130.0ms

Local error

Found 4 expressions with local error:

0.0b
(* z (- t a))
0.4b
(/ 1 (+ y (* z (- b y))))
0.5b
(+ (* x y) (* z (- t a)))
24.6b
(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

rewrite235.0ms

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/ insert-posit16 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 → 120
Calls
4 calls:
52.0ms
(* z (- t a))
21.0ms
(/ 1 (+ y (* z (- b y))))
24.0ms
(+ (* x y) (* z (- t a)))
130.0ms
(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

series1.0s

Counts
4 → 12
Calls
4 calls:
82.0ms
(* z (- t a))
165.0ms
(/ 1 (+ y (* z (- b y))))
83.0ms
(+ (* x y) (* z (- t a)))
679.0ms
(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

simplify3.6s

Counts
132 → 132
Iterations
IterNodes
done5000
21582
1481
0178

prune2.0s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 24.8b

localize118.0ms

Local error

Found 4 expressions with local error:

0.0b
(* z (- b y))
0.2b
(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
0.5b
(+ (* x y) (* z (- t a)))
24.7b
(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

rewrite227.0ms

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 insert-posit16
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 → 160
Calls
4 calls:
69.0ms
(* z (- b y))
44.0ms
(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
21.0ms
(+ (* x y) (* z (- t a)))
68.0ms
(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

series2.4s

Counts
4 → 12
Calls
4 calls:
71.0ms
(* z (- b y))
1.7s
(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
78.0ms
(+ (* x y) (* z (- t a)))
572.0ms
(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

simplify4.8s

Counts
172 → 172
Iterations
IterNodes
done5003
21905
1638
0248

prune3.1s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 24.8b

localize181.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 1 (* (+ y (* z (- b y))) (/ 1 (+ (* x y) (* z (- t a))))))
0.5b
(+ (* x y) (* z (- t a)))
0.7b
(/ 1 (+ (* x y) (* z (- t a))))
23.9b
(* (+ y (* z (- b y))) (/ 1 (+ (* x y) (* z (- t a)))))

rewrite365.0ms

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 insert-posit16
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 → 138
Calls
4 calls:
126.0ms
(/ 1 (* (+ y (* z (- b y))) (/ 1 (+ (* x y) (* z (- t a))))))
42.0ms
(+ (* x y) (* z (- t a)))
45.0ms
(/ 1 (+ (* x y) (* z (- t a))))
143.0ms
(* (+ y (* z (- b y))) (/ 1 (+ (* x y) (* z (- t a)))))

series2.7s

Counts
4 → 12
Calls
4 calls:
1.8s
(/ 1 (* (+ y (* z (- b y))) (/ 1 (+ (* x y) (* z (- t a))))))
101.0ms
(+ (* x y) (* z (- t a)))
133.0ms
(/ 1 (+ (* x y) (* z (- t a))))
667.0ms
(* (+ y (* z (- b y))) (/ 1 (+ (* x y) (* z (- t a)))))

simplify3.8s

Counts
150 → 150
Iterations
IterNodes
done5000
21653
1517
0182

prune2.5s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 24.8b

regimes3.6s

Accuracy

0% (0.7b remaining)

Error of 23.7b against oracle of 23.0b and baseline of 23.7b

bsearch0.0ms

simplify15.0ms

Iterations
IterNodes
done24
124
016

end0.0ms

sample1.7s

Algorithm
intervals
Results
947.0ms8391×body80valid