Details

Time bar (total: 19.0s)

sample35.0ms

Algorithm
intervals
Results
19.0ms265×body80valid

simplify1.5s

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.3b

localize49.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x y) (* z (- t a)))
0.0b
(+ y (* z (- b y)))
0.0b
(* z (- t a))
18.6b
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

rewrite110.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
16×*-un-lft-identity
14×add-cube-cbrt
9×times-frac
8×associate-+r+ add-cbrt-cube add-exp-log add-log-exp
6×distribute-rgt-in pow1 sub-neg distribute-lft-in
5×associate-*r*
4×flip3-+ flip-+
3×associate-/r* associate-*l* associate-/l*
2×+-commutative sum-log associate-*r/ associate-/r/ associate-/l/
1×cbrt-undiv clear-num frac-2neg flip3-- div-exp pow-prod-down prod-exp *-commutative cbrt-unprod div-inv flip-- distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 87
Calls
4 calls:
18.0ms
(+ (* x y) (* z (- t a)))
10.0ms
(+ y (* z (- b y)))
29.0ms
(* z (- t a))
49.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

series602.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(+ (* x y) (* z (- t a)))
55.0ms
(+ y (* z (- b y)))
63.0ms
(* z (- t a))
422.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify1.3s

Counts
99 → 99
Iterations
IterNodes
done5000
21202
1373
0148

prune775.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 18.7b

localize58.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ y (* z (- b y)))
0.0b
(* z (- t a))
0.6b
(/ 1 (+ y (* z (- b y))))
18.4b
(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

rewrite103.0ms

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:
6.0ms
(+ y (* z (- b y)))
18.0ms
(* z (- t a))
16.0ms
(/ 1 (+ y (* z (- b y))))
60.0ms
(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

series649.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(+ y (* z (- b y)))
53.0ms
(* z (- t a))
117.0ms
(/ 1 (+ y (* z (- b y))))
445.0ms
(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

simplify1.5s

Counts
128 → 128
Iterations
IterNodes
done5004
21616
1493
0181

prune829.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 18.7b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* z (- t a)) (* x y))
0.0b
(+ y (* z (- b y)))
0.0b
(* z (- t a))
18.6b
(/ (+ (* z (- t a)) (* x y)) (+ y (* z (- b y))))

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
16×*-un-lft-identity
14×add-cube-cbrt
9×times-frac
8×add-cbrt-cube add-exp-log add-log-exp
6×distribute-rgt-in pow1 sub-neg distribute-lft-in
5×associate-*r*
4×associate-+l+ associate-+r+ flip3-+ flip-+
3×associate-/r* associate-*l* associate-/l*
2×+-commutative sum-log associate-*r/ associate-/r/ associate-/l/
1×cbrt-undiv clear-num frac-2neg flip3-- div-exp pow-prod-down prod-exp *-commutative cbrt-unprod div-inv flip-- distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 87
Calls
4 calls:
18.0ms
(+ (* z (- t a)) (* x y))
6.0ms
(+ y (* z (- b y)))
16.0ms
(* z (- t a))
39.0ms
(/ (+ (* z (- t a)) (* x y)) (+ y (* z (- b y))))

series625.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(+ (* z (- t a)) (* x y))
33.0ms
(+ y (* z (- b y)))
60.0ms
(* z (- t a))
479.0ms
(/ (+ (* z (- t a)) (* x y)) (+ y (* z (- b y))))

simplify2.5s

Counts
99 → 99
Iterations
IterNodes
done5004
34652
21183
1375
0148

prune764.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 15.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ y (* z (- b y)))
0.0b
(* z (- t a))
0.4b
(/ 1 (/ (+ y (* z (- b y))) (+ (* z (- t a)) (* x y))))
18.5b
(/ (+ y (* z (- b y))) (+ (* z (- t a)) (* x y)))

rewrite113.0ms

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:
13.0ms
(+ y (* z (- b y)))
23.0ms
(* z (- t a))
26.0ms
(/ 1 (/ (+ y (* z (- b y))) (+ (* z (- t a)) (* x y))))
43.0ms
(/ (+ y (* z (- b y))) (+ (* z (- t a)) (* x y)))

series1.7s

Counts
4 → 12
Calls
4 calls:
32.0ms
(+ y (* z (- b y)))
42.0ms
(* z (- t a))
1.2s
(/ 1 (/ (+ y (* z (- b y))) (+ (* z (- t a)) (* x y))))
433.0ms
(/ (+ y (* z (- b y))) (+ (* z (- t a)) (* x y)))

simplify1.8s

Counts
168 → 168
Iterations
IterNodes
done5000
22121
1659
0249

prune1.1s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 15.0b

regimes1.1s

Accuracy

-4.5% (5.1b remaining)

Error of 23.8b against oracle of 18.7b and baseline of 23.6b

bsearch73.0ms

Steps
ItersRangePoint
9
-2.704391536851975e+248
-2.824319528412821e+242
-4.54749621317108e+247

simplify5.0ms

Iterations
IterNodes
done27
127
019

end0.0ms

sample1.5s

Algorithm
intervals
Results
1.0s8372×body80valid