Details

Time bar (total: 23.6s)

sample131.0ms

Algorithm
intervals
Results
86.0ms256×body80valid

simplify1.9s

Counts
1 → 1
Iterations

Useful iterations: done (1.9s)

IterNodesCost
044173
1132173
2535109
3233079
done500073

prune24.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 33.4b

localize68.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 0.0072644182 (* x x))
0.2b
(* (* x x) 0.0140005442)
17.0b
(* (/ (+ (* (pow x 4) (+ (+ (* 0.0001789971 (pow x 6)) (* (pow x 4) 0.0005064034)) (+ (* 0.0072644182 (* x x)) 0.0424060604))) (+ 1.0 (* 0.1049934947 (* x x)))) (+ (+ 1.0 (* (pow x 4) 0.2909738639)) (* (* x x) (+ 0.7715471019 (* (pow x 4) (+ (+ 0.0694555761 (* (* x x) 0.0140005442)) (+ (* 0.0008327945 (pow x 4)) (* (pow x 6) (* 2.0 0.0001789971))))))))) x)
32.8b
(/ (+ (* (pow x 4) (+ (+ (* 0.0001789971 (pow x 6)) (* (pow x 4) 0.0005064034)) (+ (* 0.0072644182 (* x x)) 0.0424060604))) (+ 1.0 (* 0.1049934947 (* x x)))) (+ (+ 1.0 (* (pow x 4) 0.2909738639)) (* (* x x) (+ 0.7715471019 (* (pow x 4) (+ (+ 0.0694555761 (* (* x x) 0.0140005442)) (+ (* 0.0008327945 (pow x 4)) (* (pow x 6) (* 2.0 0.0001789971)))))))))

rewrite789.0ms

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt
28×frac-add
27×flip3-+ flip-+
23×associate-*l*
22×add-cube-cbrt *-un-lft-identity
21×add-exp-log add-cbrt-cube
20×associate-*r/
19×times-frac
16×pow1
14×associate-/l/
12×associate-/r/
8×prod-exp cbrt-unprod
7×associate-*r* pow-prod-down
4×add-log-exp unswap-sqr
3×associate-/r* *-commutative associate-/l*
2×cbrt-undiv div-exp div-inv
1×frac-2neg associate-*l/ clear-num
Counts
4 → 123
Calls
4 calls:
20.0ms
(* 0.0072644182 (* x x))
19.0ms
(* (* x x) 0.0140005442)
408.0ms
(* (/ (+ (* (pow x 4) (+ (+ (* 0.0001789971 (pow x 6)) (* (pow x 4) 0.0005064034)) (+ (* 0.0072644182 (* x x)) 0.0424060604))) (+ 1.0 (* 0.1049934947 (* x x)))) (+ (+ 1.0 (* (pow x 4) 0.2909738639)) (* (* x x) (+ 0.7715471019 (* (pow x 4) (+ (+ 0.0694555761 (* (* x x) 0.0140005442)) (+ (* 0.0008327945 (pow x 4)) (* (pow x 6) (* 2.0 0.0001789971))))))))) x)
336.0ms
(/ (+ (* (pow x 4) (+ (+ (* 0.0001789971 (pow x 6)) (* (pow x 4) 0.0005064034)) (+ (* 0.0072644182 (* x x)) 0.0424060604))) (+ 1.0 (* 0.1049934947 (* x x)))) (+ (+ 1.0 (* (pow x 4) 0.2909738639)) (* (* x x) (+ 0.7715471019 (* (pow x 4) (+ (+ 0.0694555761 (* (* x x) 0.0140005442)) (+ (* 0.0008327945 (pow x 4)) (* (pow x 6) (* 2.0 0.0001789971)))))))))

series877.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(* 0.0072644182 (* x x))
42.0ms
(* (* x x) 0.0140005442)
432.0ms
(* (/ (+ (* (pow x 4) (+ (+ (* 0.0001789971 (pow x 6)) (* (pow x 4) 0.0005064034)) (+ (* 0.0072644182 (* x x)) 0.0424060604))) (+ 1.0 (* 0.1049934947 (* x x)))) (+ (+ 1.0 (* (pow x 4) 0.2909738639)) (* (* x x) (+ 0.7715471019 (* (pow x 4) (+ (+ 0.0694555761 (* (* x x) 0.0140005442)) (+ (* 0.0008327945 (pow x 4)) (* (pow x 6) (* 2.0 0.0001789971))))))))) x)
354.0ms
(/ (+ (* (pow x 4) (+ (+ (* 0.0001789971 (pow x 6)) (* (pow x 4) 0.0005064034)) (+ (* 0.0072644182 (* x x)) 0.0424060604))) (+ 1.0 (* 0.1049934947 (* x x)))) (+ (+ 1.0 (* (pow x 4) 0.2909738639)) (* (* x x) (+ 0.7715471019 (* (pow x 4) (+ (+ 0.0694555761 (* (* x x) 0.0140005442)) (+ (* 0.0008327945 (pow x 4)) (* (pow x 6) (* 2.0 0.0001789971)))))))))

simplify863.0ms

Counts
135 → 135
Iterations

Useful iterations: done (851.0ms)

IterNodesCost
03258932
110478594
done50007816

prune1.8s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (/ 0.15298196345929327 (pow x 5)) (/ 0.2514179000665375 (pow x 3)))
0.0b
(+ (/ 0.5 x) (+ (/ 0.15298196345929327 (pow x 5)) (/ 0.2514179000665375 (pow x 3))))
0.0b
(/ 0.15298196345929327 (pow x 5))
0.2b
(/ 0.2514179000665375 (pow x 3))

rewrite376.0ms

Algorithm
rewrite-expression-head
Rules
62×*-un-lft-identity times-frac
45×add-sqr-sqrt add-cube-cbrt
24×unpow-prod-down
19×associate-/r*
14×add-exp-log
12×cube-prod
11×add-log-exp
8×add-cbrt-cube sqr-pow
7×distribute-lft-out
6×div-exp associate-/l*
5×frac-add
4×pow1 cube-mult unpow3 sum-log
3×flip3-+ flip-+
2×cbrt-undiv +-commutative pow-to-exp frac-2neg pow-exp clear-num div-inv
1×associate-+r+
Counts
4 → 143
Calls
4 calls:
87.0ms
(+ (/ 0.15298196345929327 (pow x 5)) (/ 0.2514179000665375 (pow x 3)))
255.0ms
(+ (/ 0.5 x) (+ (/ 0.15298196345929327 (pow x 5)) (/ 0.2514179000665375 (pow x 3))))
13.0ms
(/ 0.15298196345929327 (pow x 5))
13.0ms
(/ 0.2514179000665375 (pow x 3))

series410.0ms

Counts
4 → 12
Calls
4 calls:
190.0ms
(+ (/ 0.15298196345929327 (pow x 5)) (/ 0.2514179000665375 (pow x 3)))
80.0ms
(+ (/ 0.5 x) (+ (/ 0.15298196345929327 (pow x 5)) (/ 0.2514179000665375 (pow x 3))))
81.0ms
(/ 0.15298196345929327 (pow x 5))
58.0ms
(/ 0.2514179000665375 (pow x 3))

simplify1.2s

Counts
155 → 155
Iterations

Useful iterations: done (1.2s)

IterNodesCost
02352136
15161871
216001771
done50001765

prune650.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize78.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 0.0072644182 (* x x))
0.2b
(* 0.0140005442 (pow x 2))
17.0b
(* (/ (+ (* (pow x 4) (+ (+ (* 0.0001789971 (pow x 6)) (* (pow x 4) 0.0005064034)) (+ (* 0.0072644182 (* x x)) 0.0424060604))) (+ 1.0 (* 0.1049934947 (* x x)))) (+ (+ 1.0 (* (pow x 4) 0.2909738639)) (* (* x x) (+ 0.7715471019 (* (pow x 4) (+ (+ 0.0694555761 (* 0.0140005442 (pow x 2))) (+ (* 0.0008327945 (pow x 4)) (* (pow x 6) (* 2.0 0.0001789971))))))))) x)
32.8b
(/ (+ (* (pow x 4) (+ (+ (* 0.0001789971 (pow x 6)) (* (pow x 4) 0.0005064034)) (+ (* 0.0072644182 (* x x)) 0.0424060604))) (+ 1.0 (* 0.1049934947 (* x x)))) (+ (+ 1.0 (* (pow x 4) 0.2909738639)) (* (* x x) (+ 0.7715471019 (* (pow x 4) (+ (+ 0.0694555761 (* 0.0140005442 (pow x 2))) (+ (* 0.0008327945 (pow x 4)) (* (pow x 6) (* 2.0 0.0001789971)))))))))

rewrite1.0s

Algorithm
rewrite-expression-head
Rules
36×add-sqr-sqrt
28×frac-add
27×flip3-+ flip-+
25×associate-*l*
24×add-cube-cbrt *-un-lft-identity
21×add-exp-log
20×associate-*r/
19×times-frac
18×add-cbrt-cube
14×associate-/l/
12×associate-*r* associate-/r/
11×pow1
8×prod-exp
7×unswap-sqr
6×cbrt-unprod
4×unpow-prod-down pow-prod-down add-log-exp
3×associate-/r* *-commutative associate-/l*
2×cbrt-undiv div-exp div-inv unpow2 sqr-pow
1×pow-to-exp frac-2neg associate-*l/ pow-exp clear-num
Counts
4 → 131
Calls
4 calls:
36.0ms
(* 0.0072644182 (* x x))
25.0ms
(* 0.0140005442 (pow x 2))
493.0ms
(* (/ (+ (* (pow x 4) (+ (+ (* 0.0001789971 (pow x 6)) (* (pow x 4) 0.0005064034)) (+ (* 0.0072644182 (* x x)) 0.0424060604))) (+ 1.0 (* 0.1049934947 (* x x)))) (+ (+ 1.0 (* (pow x 4) 0.2909738639)) (* (* x x) (+ 0.7715471019 (* (pow x 4) (+ (+ 0.0694555761 (* 0.0140005442 (pow x 2))) (+ (* 0.0008327945 (pow x 4)) (* (pow x 6) (* 2.0 0.0001789971))))))))) x)
474.0ms
(/ (+ (* (pow x 4) (+ (+ (* 0.0001789971 (pow x 6)) (* (pow x 4) 0.0005064034)) (+ (* 0.0072644182 (* x x)) 0.0424060604))) (+ 1.0 (* 0.1049934947 (* x x)))) (+ (+ 1.0 (* (pow x 4) 0.2909738639)) (* (* x x) (+ 0.7715471019 (* (pow x 4) (+ (+ 0.0694555761 (* 0.0140005442 (pow x 2))) (+ (* 0.0008327945 (pow x 4)) (* (pow x 6) (* 2.0 0.0001789971)))))))))

series811.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(* 0.0072644182 (* x x))
38.0ms
(* 0.0140005442 (pow x 2))
377.0ms
(* (/ (+ (* (pow x 4) (+ (+ (* 0.0001789971 (pow x 6)) (* (pow x 4) 0.0005064034)) (+ (* 0.0072644182 (* x x)) 0.0424060604))) (+ 1.0 (* 0.1049934947 (* x x)))) (+ (+ 1.0 (* (pow x 4) 0.2909738639)) (* (* x x) (+ 0.7715471019 (* (pow x 4) (+ (+ 0.0694555761 (* 0.0140005442 (pow x 2))) (+ (* 0.0008327945 (pow x 4)) (* (pow x 6) (* 2.0 0.0001789971))))))))) x)
340.0ms
(/ (+ (* (pow x 4) (+ (+ (* 0.0001789971 (pow x 6)) (* (pow x 4) 0.0005064034)) (+ (* 0.0072644182 (* x x)) 0.0424060604))) (+ 1.0 (* 0.1049934947 (* x x)))) (+ (+ 1.0 (* (pow x 4) 0.2909738639)) (* (* x x) (+ 0.7715471019 (* (pow x 4) (+ (+ 0.0694555761 (* 0.0140005442 (pow x 2))) (+ (* 0.0008327945 (pow x 4)) (* (pow x 6) (* 2.0 0.0001789971)))))))))

simplify921.0ms

Counts
143 → 143
Iterations

Useful iterations: done (909.0ms)

IterNodesCost
03438999
110778659
done50007858

prune2.1s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize62.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* x x) 0.0140005442)
11.3b
(cbrt (pow (/ (+ (* (pow x 4) (+ (+ (* 0.0001789971 (pow x 6)) (* (pow x 4) 0.0005064034)) (+ (* 0.0072644182 (* x x)) 0.0424060604))) (+ 1.0 (* 0.1049934947 (* x x)))) (+ (+ 1.0 (* (pow x 4) 0.2909738639)) (* (* x x) (+ 0.7715471019 (* (pow x 4) (+ (+ 0.0694555761 (* (* x x) 0.0140005442)) (+ (* 0.0008327945 (pow x 4)) (* (pow x 6) (* 2.0 0.0001789971))))))))) 3))
17.0b
(* (cbrt (pow (/ (+ (* (pow x 4) (+ (+ (* 0.0001789971 (pow x 6)) (* (pow x 4) 0.0005064034)) (+ (* 0.0072644182 (* x x)) 0.0424060604))) (+ 1.0 (* 0.1049934947 (* x x)))) (+ (+ 1.0 (* (pow x 4) 0.2909738639)) (* (* x x) (+ 0.7715471019 (* (pow x 4) (+ (+ 0.0694555761 (* (* x x) 0.0140005442)) (+ (* 0.0008327945 (pow x 4)) (* (pow x 6) (* 2.0 0.0001789971))))))))) 3)) x)
32.8b
(/ (+ (* (pow x 4) (+ (+ (* 0.0001789971 (pow x 6)) (* (pow x 4) 0.0005064034)) (+ (* 0.0072644182 (* x x)) 0.0424060604))) (+ 1.0 (* 0.1049934947 (* x x)))) (+ (+ 1.0 (* (pow x 4) 0.2909738639)) (* (* x x) (+ 0.7715471019 (* (pow x 4) (+ (+ 0.0694555761 (* (* x x) 0.0140005442)) (+ (* 0.0008327945 (pow x 4)) (* (pow x 6) (* 2.0 0.0001789971)))))))))

rewrite1.5s

Algorithm
rewrite-expression-head
Rules
94×cbrt-prod
61×add-sqr-sqrt
48×associate-*l*
47×times-frac
45×add-cube-cbrt *-un-lft-identity
42×flip3-+ flip-+
40×unpow-prod-down cube-prod frac-add
32×associate-*r/
30×associate-/r/
14×associate-/l/
13×add-exp-log
12×add-cbrt-cube
11×pow1
8×unswap-sqr
6×associate-*r*
5×div-inv
4×pow-prod-down prod-exp cbrt-unprod add-log-exp
3×associate-/r* associate-/l* sqr-pow
2×cube-div cube-mult cbrt-div unpow3 *-commutative
1×cbrt-undiv frac-2neg pow1/3 div-exp associate-*l/ clear-num rem-cbrt-cube
Counts
4 → 189
Calls
4 calls:
37.0ms
(* (* x x) 0.0140005442)
242.0ms
(cbrt (pow (/ (+ (* (pow x 4) (+ (+ (* 0.0001789971 (pow x 6)) (* (pow x 4) 0.0005064034)) (+ (* 0.0072644182 (* x x)) 0.0424060604))) (+ 1.0 (* 0.1049934947 (* x x)))) (+ (+ 1.0 (* (pow x 4) 0.2909738639)) (* (* x x) (+ 0.7715471019 (* (pow x 4) (+ (+ 0.0694555761 (* (* x x) 0.0140005442)) (+ (* 0.0008327945 (pow x 4)) (* (pow x 6) (* 2.0 0.0001789971))))))))) 3))
846.0ms
(* (cbrt (pow (/ (+ (* (pow x 4) (+ (+ (* 0.0001789971 (pow x 6)) (* (pow x 4) 0.0005064034)) (+ (* 0.0072644182 (* x x)) 0.0424060604))) (+ 1.0 (* 0.1049934947 (* x x)))) (+ (+ 1.0 (* (pow x 4) 0.2909738639)) (* (* x x) (+ 0.7715471019 (* (pow x 4) (+ (+ 0.0694555761 (* (* x x) 0.0140005442)) (+ (* 0.0008327945 (pow x 4)) (* (pow x 6) (* 2.0 0.0001789971))))))))) 3)) x)
383.0ms
(/ (+ (* (pow x 4) (+ (+ (* 0.0001789971 (pow x 6)) (* (pow x 4) 0.0005064034)) (+ (* 0.0072644182 (* x x)) 0.0424060604))) (+ 1.0 (* 0.1049934947 (* x x)))) (+ (+ 1.0 (* (pow x 4) 0.2909738639)) (* (* x x) (+ 0.7715471019 (* (pow x 4) (+ (+ 0.0694555761 (* (* x x) 0.0140005442)) (+ (* 0.0008327945 (pow x 4)) (* (pow x 6) (* 2.0 0.0001789971)))))))))

series1.0s

Counts
4 → 12
Calls
4 calls:
28.0ms
(* (* x x) 0.0140005442)
251.0ms
(cbrt (pow (/ (+ (* (pow x 4) (+ (+ (* 0.0001789971 (pow x 6)) (* (pow x 4) 0.0005064034)) (+ (* 0.0072644182 (* x x)) 0.0424060604))) (+ 1.0 (* 0.1049934947 (* x x)))) (+ (+ 1.0 (* (pow x 4) 0.2909738639)) (* (* x x) (+ 0.7715471019 (* (pow x 4) (+ (+ 0.0694555761 (* (* x x) 0.0140005442)) (+ (* 0.0008327945 (pow x 4)) (* (pow x 6) (* 2.0 0.0001789971))))))))) 3))
452.0ms
(* (cbrt (pow (/ (+ (* (pow x 4) (+ (+ (* 0.0001789971 (pow x 6)) (* (pow x 4) 0.0005064034)) (+ (* 0.0072644182 (* x x)) 0.0424060604))) (+ 1.0 (* 0.1049934947 (* x x)))) (+ (+ 1.0 (* (pow x 4) 0.2909738639)) (* (* x x) (+ 0.7715471019 (* (pow x 4) (+ (+ 0.0694555761 (* (* x x) 0.0140005442)) (+ (* 0.0008327945 (pow x 4)) (* (pow x 6) (* 2.0 0.0001789971))))))))) 3)) x)
307.0ms
(/ (+ (* (pow x 4) (+ (+ (* 0.0001789971 (pow x 6)) (* (pow x 4) 0.0005064034)) (+ (* 0.0072644182 (* x x)) 0.0424060604))) (+ 1.0 (* 0.1049934947 (* x x)))) (+ (+ 1.0 (* (pow x 4) 0.2909738639)) (* (* x x) (+ 0.7715471019 (* (pow x 4) (+ (+ 0.0694555761 (* (* x x) 0.0140005442)) (+ (* 0.0008327945 (pow x 4)) (* (pow x 6) (* 2.0 0.0001789971)))))))))

simplify985.0ms

Counts
201 → 201
Iterations

Useful iterations: done (957.0ms)

IterNodesCost
039919808
1128018137
done500017151

prune2.1s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes82.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 31.4b

bsearch758.0ms

Steps
ItersRangePoint
11
57174384.711049624
3.6932400046068e+36
59525946.96427765
8
-2497197479928642.5
-4551155589554.198
-1795823920150617.8

simplify21.0ms

Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
063111
19297
done9297

end0.0ms

sample2.9s

Algorithm
intervals
Results
2.7s8000×body80valid