Details

Time bar (total: 38.7s)

sample39.0ms

Algorithm
intervals
Results
13.0ms266×body80valid

simplify3.7s

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

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 23.7b

localize66.0ms

Local error

Found 4 expressions with local error:

0.0b
(* z (- t a))
0.0b
(+ y (* z (- b y)))
0.9b
(+ (* x y) (* z (- t a)))
23.0b
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

rewrite125.0ms

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-+ insert-posit16
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 → 91
Calls
4 calls:
34.0ms
(* z (- t a))
10.0ms
(+ y (* z (- b y)))
12.0ms
(+ (* x y) (* z (- t a)))
64.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

series871.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(* z (- t a))
44.0ms
(+ y (* z (- b y)))
67.0ms
(+ (* x y) (* z (- t a)))
704.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify2.9s

Counts
103 → 103
Iterations
IterNodes
done5001
21233
1385
0152

prune2.0s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 23.0b

localize93.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ y (* z (- b y)))
0.7b
(/ 1 (+ y (* z (- b y))))
0.9b
(+ (* x y) (* z (- t a)))
22.5b
(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

rewrite122.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
21×*-un-lft-identity
20×times-frac add-cube-cbrt
17×add-exp-log
15×associate-*r*
11×add-cbrt-cube
8×associate-+r+ add-log-exp
7×pow1
6×flip3-+ flip-+
4×distribute-rgt-in sub-neg distribute-lft-in div-exp prod-exp associate-/r/ insert-posit16
3×associate-/r* associate-*l* associate-/l* unswap-sqr
2×frac-times cbrt-undiv +-commutative rec-exp sum-log 1-exp associate-*l/ cbrt-unprod div-inv
1×clear-num frac-2neg pow-prod-down associate-*r/ un-div-inv *-commutative pow-flip inv-pow
Counts
4 → 109
Calls
4 calls:
10.0ms
(+ y (* z (- b y)))
21.0ms
(/ 1 (+ y (* z (- b y))))
26.0ms
(+ (* x y) (* z (- t a)))
58.0ms
(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

series1.1s

Counts
4 → 12
Calls
4 calls:
55.0ms
(+ y (* z (- b y)))
196.0ms
(/ 1 (+ y (* z (- b y))))
96.0ms
(+ (* x y) (* z (- t a)))
790.0ms
(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

simplify3.6s

Counts
121 → 121
Iterations
IterNodes
done5002
21557
1420
0153

prune2.2s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 23.0b

localize119.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ y (* z (- b y)))
0.2b
(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
0.9b
(+ (* x y) (* z (- t a)))
23.0b
(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

rewrite158.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
56×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
18×associate-/r*
17×add-exp-log
11×add-cbrt-cube associate-/r/
8×associate-+r+ flip3-+ div-exp flip-+ add-log-exp
6×div-inv associate-/l*
5×pow1
4×distribute-rgt-in cbrt-undiv sub-neg distribute-lft-in insert-posit16
2×+-commutative rec-exp clear-num sum-log frac-2neg 1-exp associate-/l/
1×pow-flip inv-pow
Counts
4 → 149
Calls
4 calls:
19.0ms
(+ y (* z (- b y)))
57.0ms
(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
18.0ms
(+ (* x y) (* z (- t a)))
40.0ms
(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

series2.5s

Counts
4 → 12
Calls
4 calls:
55.0ms
(+ y (* z (- b y)))
1.7s
(/ 1 (/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a)))))
100.0ms
(+ (* x y) (* z (- t a)))
641.0ms
(/ (+ y (* z (- b y))) (+ (* x y) (* z (- t a))))

simplify3.8s

Counts
161 → 161
Iterations
IterNodes
done5001
21750
1577
0220

prune2.7s

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 23.0b

localize114.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- t a))
0.5b
(* (cbrt (- t a)) (cbrt (- t a)))
0.9b
(+ (* x y) (* (* z (* (cbrt (- t a)) (cbrt (- t a)))) (cbrt (- t a))))
23.0b
(/ (+ (* x y) (* (* z (* (cbrt (- t a)) (cbrt (- t a)))) (cbrt (- t a)))) (+ y (* z (- b y))))

rewrite203.0ms

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt
37×*-un-lft-identity
33×cbrt-prod
21×add-cube-cbrt
14×cbrt-div
11×pow1
10×swap-sqr
9×times-frac
8×associate-*r* associate-*l* add-exp-log
7×flip3-- pow1/3 flip-- distribute-lft-out--
6×add-cbrt-cube add-log-exp
5×difference-of-squares
4×frac-times insert-posit16 unswap-sqr
3×associate-/r* flip3-+ flip-+ associate-/l*
2×pow-prod-down associate-*l/ associate-*r/ associate-/r/ pow-sqr pow-prod-up associate-/l/
1×pow2 cbrt-undiv +-commutative clear-num sum-log frac-2neg pow-plus div-exp prod-exp *-commutative cbrt-unprod div-inv
Counts
4 → 117
Calls
4 calls:
12.0ms
(cbrt (- t a))
83.0ms
(* (cbrt (- t a)) (cbrt (- t a)))
18.0ms
(+ (* x y) (* (* z (* (cbrt (- t a)) (cbrt (- t a)))) (cbrt (- t a))))
75.0ms
(/ (+ (* x y) (* (* z (* (cbrt (- t a)) (cbrt (- t a)))) (cbrt (- t a)))) (+ y (* z (- b y))))

series1.4s

Counts
4 → 12
Calls
4 calls:
296.0ms
(cbrt (- t a))
262.0ms
(* (cbrt (- t a)) (cbrt (- t a)))
90.0ms
(+ (* x y) (* (* z (* (cbrt (- t a)) (cbrt (- t a)))) (cbrt (- t a))))
703.0ms
(/ (+ (* x y) (* (* z (* (cbrt (- t a)) (cbrt (- t a)))) (cbrt (- t a)))) (+ y (* z (- b y))))

simplify3.0s

Counts
129 → 129
Iterations
IterNodes
done5000
21538
1534
0221

prune2.1s

Pruning

16 alts after pruning (13 fresh and 3 done)

Merged error: 22.9b

regimes4.3s

Accuracy

0% (0.8b remaining)

Error of 23.5b against oracle of 22.6b and baseline of 23.5b

bsearch0.0ms

simplify6.0ms

Iterations
IterNodes
done24
124
016

end0.0ms

sample1.5s

Algorithm
intervals
Results
756.0ms8442×body80valid