Details

Time bar (total: 22.8s)

sample90.0ms

Algorithm
intervals
Results
42.0ms270×body80valid

simplify2.6s

Counts
1 → 1
Iterations
IterNodes
done5001
52858
4824
3264
288
141
026

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.1b

localize51.0ms

Local error

Found 4 expressions with local error:

0.1b
(* y (+ (* y (+ (* (+ y a) y) b)) c))
0.1b
(* y (+ (* (+ y a) y) b))
0.1b
(* (+ (* y (+ z (* x y))) 27464.7644705) y)
27.5b
(/ (+ (* y (+ (* (+ (* y (+ z (* x y))) 27464.7644705) y) 230661.510616)) t) (+ i (* y (+ (* y (+ (* (+ y a) y) b)) c))))

rewrite622.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
18×*-un-lft-identity add-cube-cbrt
12×add-cbrt-cube add-exp-log
10×pow1
9×times-frac associate-*r* associate-*l*
5×flip3-+ flip-+
4×associate-*r/ add-log-exp
3×associate-/r* pow-prod-down prod-exp *-commutative cbrt-unprod associate-/l* unswap-sqr
2×distribute-rgt-in distribute-lft-in associate-*l/ associate-/r/ associate-/l/
1×cbrt-undiv clear-num frac-2neg div-exp div-inv
Counts
4 → 95
Calls
4 calls:
71.0ms
(* y (+ (* y (+ (* (+ y a) y) b)) c))
47.0ms
(* y (+ (* (+ y a) y) b))
36.0ms
(* (+ (* y (+ z (* x y))) 27464.7644705) y)
464.0ms
(/ (+ (* y (+ (* (+ (* y (+ z (* x y))) 27464.7644705) y) 230661.510616)) t) (+ i (* y (+ (* y (+ (* (+ y a) y) b)) c))))

series643.0ms

Counts
4 → 12
Calls
4 calls:
116.0ms
(* y (+ (* y (+ (* (+ y a) y) b)) c))
56.0ms
(* y (+ (* (+ y a) y) b))
73.0ms
(* (+ (* y (+ z (* x y))) 27464.7644705) y)
398.0ms
(/ (+ (* y (+ (* (+ (* y (+ z (* x y))) 27464.7644705) y) 230661.510616)) t) (+ i (* y (+ (* y (+ (* (+ y a) y) b)) c))))

simplify2.0s

Counts
107 → 107
Iterations
IterNodes
done5001
23398
1615
0204

prune1.3s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 26.7b

localize39.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* y (+ z (* x y))) 27464.7644705) y)
2.8b
(+ (* (* y y) (+ b (* y (+ a y)))) (* c y))
3.3b
(* (* y y) (+ b (* y (+ a y))))
27.5b
(/ (+ (* y (+ (* (+ (* y (+ z (* x y))) 27464.7644705) y) 230661.510616)) t) (+ i (+ (* (* y y) (+ b (* y (+ a y)))) (* c y))))

rewrite277.0ms

Algorithm
rewrite-expression-head
Rules
24×*-un-lft-identity
19×add-sqr-sqrt
16×add-cube-cbrt
13×add-cbrt-cube add-exp-log
12×times-frac
11×pow1
6×associate-*r* add-log-exp
5×flip3-+ flip-+
4×associate-/r* associate-*l* pow-prod-down prod-exp cbrt-unprod distribute-lft-out
3×associate-/l*
2×distribute-rgt-in associate-+l+ distribute-lft-in associate-*l/ associate-*r/ associate-/r/ *-commutative unswap-sqr associate-/l/
1×cbrt-undiv +-commutative clear-num sum-log frac-2neg div-exp div-inv
Counts
4 → 91
Calls
4 calls:
38.0ms
(* (+ (* y (+ z (* x y))) 27464.7644705) y)
35.0ms
(+ (* (* y y) (+ b (* y (+ a y)))) (* c y))
35.0ms
(* (* y y) (+ b (* y (+ a y))))
167.0ms
(/ (+ (* y (+ (* (+ (* y (+ z (* x y))) 27464.7644705) y) 230661.510616)) t) (+ i (+ (* (* y y) (+ b (* y (+ a y)))) (* c y))))

series547.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(* (+ (* y (+ z (* x y))) 27464.7644705) y)
106.0ms
(+ (* (* y y) (+ b (* y (+ a y)))) (* c y))
57.0ms
(* (* y y) (+ b (* y (+ a y))))
318.0ms
(/ (+ (* y (+ (* (+ (* y (+ z (* x y))) 27464.7644705) y) 230661.510616)) t) (+ i (+ (* (* y y) (+ b (* y (+ a y)))) (* c y))))

simplify2.7s

Counts
103 → 103
Iterations
IterNodes
done5000
23972
1601
0196

prune1.2s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 26.7b

localize59.0ms

Local error

Found 4 expressions with local error:

0.1b
(* y (+ b (* y (+ a y))))
0.1b
(* (+ (* y (+ z (* x y))) 27464.7644705) y)
0.2b
(/ 1 (+ i (* y (+ c (* y (+ b (* y (+ a y))))))))
27.4b
(* (+ (* y (+ (* (+ (* y (+ z (* x y))) 27464.7644705) y) 230661.510616)) t) (/ 1 (+ i (* y (+ c (* y (+ b (* y (+ a y)))))))))

rewrite274.0ms

Algorithm
rewrite-expression-head
Rules
35×add-sqr-sqrt
25×*-un-lft-identity
24×add-cube-cbrt
21×associate-*r* add-exp-log
20×times-frac
15×add-cbrt-cube
11×pow1
9×associate-*l*
6×flip3-+ prod-exp flip-+
5×unswap-sqr
4×div-exp associate-*l/ associate-/r/ cbrt-unprod add-log-exp
3×associate-/r* pow-prod-down associate-*r/ *-commutative associate-/l*
2×frac-times cbrt-undiv rec-exp 1-exp div-inv
1×distribute-rgt-in clear-num frac-2neg distribute-lft-in un-div-inv pow-flip inv-pow
Counts
4 → 117
Calls
4 calls:
16.0ms
(* y (+ b (* y (+ a y))))
57.0ms
(* (+ (* y (+ z (* x y))) 27464.7644705) y)
17.0ms
(/ 1 (+ i (* y (+ c (* y (+ b (* y (+ a y))))))))
180.0ms
(* (+ (* y (+ (* (+ (* y (+ z (* x y))) 27464.7644705) y) 230661.510616)) t) (/ 1 (+ i (* y (+ c (* y (+ b (* y (+ a y)))))))))

series849.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(* y (+ b (* y (+ a y))))
61.0ms
(* (+ (* y (+ z (* x y))) 27464.7644705) y)
312.0ms
(/ 1 (+ i (* y (+ c (* y (+ b (* y (+ a y))))))))
409.0ms
(* (+ (* y (+ (* (+ (* y (+ z (* x y))) 27464.7644705) y) 230661.510616)) t) (/ 1 (+ i (* y (+ c (* y (+ b (* y (+ a y)))))))))

simplify407.0ms

Counts
129 → 129
Iterations
IterNodes
done5000
1661
0212

prune1.4s

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 26.7b

localize84.0ms

Local error

Found 4 expressions with local error:

5.0b
(+ (* (pow y 3) x) (* z (pow y 2)))
5.6b
(* (pow y 3) x)
6.2b
(* z (pow y 2))
27.5b
(/ (+ (* y (+ (+ (+ (* (pow y 3) x) (* z (pow y 2))) (* 27464.7644705 y)) 230661.510616)) t) (+ i (+ (* (* y y) (+ b (* y (+ a y)))) (* c y))))

rewrite450.0ms

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt
28×*-un-lft-identity
20×add-cube-cbrt
16×add-exp-log
15×associate-*l*
12×times-frac
11×associate-*r*
10×add-cbrt-cube
8×unpow-prod-down unswap-sqr
6×prod-exp add-log-exp
4×pow1 associate-/r* cube-prod distribute-lft-out sqr-pow
3×flip3-+ flip-+ associate-/l*
2×pow-to-exp pow-exp associate-/r/ *-commutative cbrt-unprod unpow2 associate-/l/
1×cube-mult cbrt-undiv +-commutative clear-num sum-log frac-2neg unpow3 div-exp div-inv
Counts
4 → 104
Calls
4 calls:
7.0ms
(+ (* (pow y 3) x) (* z (pow y 2)))
17.0ms
(* (pow y 3) x)
16.0ms
(* z (pow y 2))
406.0ms
(/ (+ (* y (+ (+ (+ (* (pow y 3) x) (* z (pow y 2))) (* 27464.7644705 y)) 230661.510616)) t) (+ i (+ (* (* y y) (+ b (* y (+ a y)))) (* c y))))

series480.0ms

Counts
4 → 12
Calls
4 calls:
65.0ms
(+ (* (pow y 3) x) (* z (pow y 2)))
26.0ms
(* (pow y 3) x)
44.0ms
(* z (pow y 2))
344.0ms
(/ (+ (* y (+ (+ (+ (* (pow y 3) x) (* z (pow y 2))) (* 27464.7644705 y)) 230661.510616)) t) (+ i (+ (* (* y y) (+ b (* y (+ a y)))) (* c y))))

simplify1.1s

Counts
116 → 116
Iterations
IterNodes
done5002
22435
1511
0196

prune1.2s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 26.7b

regimes1.7s

Accuracy

0% (1.4b remaining)

Error of 29.4b against oracle of 28.1b and baseline of 29.4b

bsearch0.0ms

simplify8.0ms

Iterations
IterNodes
done46
146
030

end0.0ms

sample2.8s

Algorithm
intervals
Results
1.9s8242×body80valid