Details

Time bar (total: 18.5s)

sample46.0ms

Algorithm
intervals
Results
17.0ms276×body80valid

simplify1.4s

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: 22.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ y (* z (- b y)))
0.0b
(* z (- b y))
0.7b
(+ (* x y) (* z (- t a)))
21.3b
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

rewrite66.0ms

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:
6.0ms
(+ y (* z (- b y)))
17.0ms
(* z (- b y))
8.0ms
(+ (* x y) (* z (- t a)))
33.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

series610.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(+ y (* z (- b y)))
57.0ms
(* z (- b y))
73.0ms
(+ (* x y) (* z (- t a)))
447.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify1.4s

Counts
99 → 99
Iterations
IterNodes
done5000
21201
1373
0146

prune605.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 21.3b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b
(* z (- b y))
0.4b
(/ 1 (+ y (* z (- b y))))
0.7b
(+ (* x y) (* z (- t a)))
21.0b
(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

rewrite71.0ms

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))))
8.0ms
(+ (* x y) (* z (- t a)))
33.0ms
(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

series571.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(* z (- b y))
104.0ms
(/ 1 (+ y (* z (- b y))))
57.0ms
(+ (* x y) (* z (- t a)))
365.0ms
(* (+ (* x y) (* z (- t a))) (/ 1 (+ y (* z (- b y)))))

simplify1.4s

Counts
128 → 128
Iterations
IterNodes
done5002
21561
1483
0176

prune892.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 21.3b

localize54.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.7b
(+ (* x y) (* z (- t a)))
21.3b
(/ (+ (* x y) (* z (- t a))) (+ y (* (* (cbrt z) (cbrt z)) (* (cbrt z) (- b y)))))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×times-frac
6×cbrt-prod add-cbrt-cube add-exp-log add-log-exp
4×pow1 associate-+r+
3×associate-/r* flip3-+ flip-+ associate-/l*
2×distribute-rgt-in sub-neg distribute-lft-in pow1/3 associate-/r/ associate-/l/
1×cbrt-undiv +-commutative clear-num sum-log frac-2neg div-exp div-inv
Counts
4 → 68
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
8.0ms
(+ (* x y) (* z (- t a)))
32.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* (* (cbrt z) (cbrt z)) (* (cbrt z) (- b y)))))

series1.1s

Counts
4 → 12
Calls
4 calls:
241.0ms
(cbrt z)
282.0ms
(cbrt z)
51.0ms
(+ (* x y) (* z (- t a)))
542.0ms
(/ (+ (* x y) (* z (- t a))) (+ y (* (* (cbrt z) (cbrt z)) (* (cbrt z) (- b y)))))

simplify1.2s

Counts
80 → 80
Iterations
IterNodes
done5001
21102
1300
0116

prune649.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 21.3b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- b y) z)
0.4b
(/ 1 (/ (+ (* (- b y) z) y) (+ (* z (- t a)) (* x y))))
0.7b
(+ (* z (- t a)) (* x y))
21.2b
(/ (+ (* (- b y) z) y) (+ (* z (- t a)) (* x y)))

rewrite136.0ms

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-*l*
4×cbrt-undiv associate-+l+
3×associate-*r*
2×distribute-rgt-in rec-exp clear-num sub-neg frac-2neg distribute-lft-in 1-exp associate-*l/ 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 → 152
Calls
4 calls:
18.0ms
(* (- b y) z)
42.0ms
(/ 1 (/ (+ (* (- b y) z) y) (+ (* z (- t a)) (* x y))))
17.0ms
(+ (* z (- t a)) (* x y))
52.0ms
(/ (+ (* (- b y) z) y) (+ (* z (- t a)) (* x y)))

series1.9s

Counts
4 → 12
Calls
4 calls:
31.0ms
(* (- b y) z)
1.6s
(/ 1 (/ (+ (* (- b y) z) y) (+ (* z (- t a)) (* x y))))
63.0ms
(+ (* z (- t a)) (* x y))
222.0ms
(/ (+ (* (- b y) z) y) (+ (* z (- t a)) (* x y)))

simplify1.8s

Counts
164 → 164
Iterations
IterNodes
done5000
21893
1639
0245

prune1.1s

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 13.4b

regimes1.3s

Accuracy

48.3% (4.3b remaining)

Error of 19.3b against oracle of 15.0b and baseline of 23.3b

bsearch155.0ms

Steps
ItersRangePoint
8
3.825361493062647e+79
5.455378039857002e+82
5.3930881779195255e+82
10
-2.8286242777029142e+112
-2.339662574034769e+94
-1.2194791791799288e+112

simplify5.0ms

Iterations
IterNodes
done36
136
025

end0.0ms

sample1.8s

Algorithm
intervals
Results
1.1s8404×body80valid