Details

Time bar (total: 25.5s)

sample117.0ms

Algorithm
intervals
Results
55.0ms256×body80valid

simplify2.3s

Counts
1 → 1
Iterations

Useful iterations: done (2.3s)

IterNodesCost
044173
1132173
2547109
3278179
done500173

prune40.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 29.6b

localize87.0ms

Local error

Found 4 expressions with local error:

0.7b
(* (pow x 6) (* 2.0 0.0001789971))
0.7b
(* 0.0001789971 (pow x 6))
12.9b
(* (/ (+ (+ (+ 1.0 (* 0.1049934947 (* x x))) (* (pow x 6) 0.0072644182)) (* (pow x 4) (+ 0.0424060604 (+ (* (pow x 4) 0.0005064034) (* 0.0001789971 (pow x 6)))))) (+ (* (pow x 6) (+ (* (pow x 6) (* 2.0 0.0001789971)) 0.0694555761)) (+ (+ 1.0 (* 0.7715471019 (* x x))) (* (pow x 4) (+ 0.2909738639 (+ (* (pow x 6) 0.0008327945) (* (pow x 4) 0.0140005442))))))) x)
29.1b
(/ (+ (+ (+ 1.0 (* 0.1049934947 (* x x))) (* (pow x 6) 0.0072644182)) (* (pow x 4) (+ 0.0424060604 (+ (* (pow x 4) 0.0005064034) (* 0.0001789971 (pow x 6)))))) (+ (* (pow x 6) (+ (* (pow x 6) (* 2.0 0.0001789971)) 0.0694555761)) (+ (+ 1.0 (* 0.7715471019 (* x x))) (* (pow x 4) (+ 0.2909738639 (+ (* (pow x 6) 0.0008327945) (* (pow x 4) 0.0140005442)))))))

rewrite1.2s

Algorithm
rewrite-expression-head
Rules
44×associate-*r/ frac-add
39×flip3-+ flip-+
37×associate-*l*
35×add-sqr-sqrt
29×add-exp-log
28×associate-/r/
25×add-cube-cbrt *-un-lft-identity
19×times-frac
18×add-cbrt-cube
14×prod-exp
11×associate-*r*
7×unpow-prod-down
6×pow1 cbrt-unprod associate-/l/
5×unswap-sqr
4×add-log-exp
3×pow-to-exp pow-exp associate-/r* *-commutative associate-/l* sqr-pow
2×cbrt-undiv div-exp div-inv
1×frac-2neg pow-prod-down associate-*l/ clear-num
Counts
4 → 142
Calls
4 calls:
43.0ms
(* (pow x 6) (* 2.0 0.0001789971))
22.0ms
(* 0.0001789971 (pow x 6))
685.0ms
(* (/ (+ (+ (+ 1.0 (* 0.1049934947 (* x x))) (* (pow x 6) 0.0072644182)) (* (pow x 4) (+ 0.0424060604 (+ (* (pow x 4) 0.0005064034) (* 0.0001789971 (pow x 6)))))) (+ (* (pow x 6) (+ (* (pow x 6) (* 2.0 0.0001789971)) 0.0694555761)) (+ (+ 1.0 (* 0.7715471019 (* x x))) (* (pow x 4) (+ 0.2909738639 (+ (* (pow x 6) 0.0008327945) (* (pow x 4) 0.0140005442))))))) x)
479.0ms
(/ (+ (+ (+ 1.0 (* 0.1049934947 (* x x))) (* (pow x 6) 0.0072644182)) (* (pow x 4) (+ 0.0424060604 (+ (* (pow x 4) 0.0005064034) (* 0.0001789971 (pow x 6)))))) (+ (* (pow x 6) (+ (* (pow x 6) (* 2.0 0.0001789971)) 0.0694555761)) (+ (+ 1.0 (* 0.7715471019 (* x x))) (* (pow x 4) (+ 0.2909738639 (+ (* (pow x 6) 0.0008327945) (* (pow x 4) 0.0140005442)))))))

series881.0ms

Counts
4 → 12
Calls
4 calls:
96.0ms
(* (pow x 6) (* 2.0 0.0001789971))
79.0ms
(* 0.0001789971 (pow x 6))
391.0ms
(* (/ (+ (+ (+ 1.0 (* 0.1049934947 (* x x))) (* (pow x 6) 0.0072644182)) (* (pow x 4) (+ 0.0424060604 (+ (* (pow x 4) 0.0005064034) (* 0.0001789971 (pow x 6)))))) (+ (* (pow x 6) (+ (* (pow x 6) (* 2.0 0.0001789971)) 0.0694555761)) (+ (+ 1.0 (* 0.7715471019 (* x x))) (* (pow x 4) (+ 0.2909738639 (+ (* (pow x 6) 0.0008327945) (* (pow x 4) 0.0140005442))))))) x)
314.0ms
(/ (+ (+ (+ 1.0 (* 0.1049934947 (* x x))) (* (pow x 6) 0.0072644182)) (* (pow x 4) (+ 0.0424060604 (+ (* (pow x 4) 0.0005064034) (* 0.0001789971 (pow x 6)))))) (+ (* (pow x 6) (+ (* (pow x 6) (* 2.0 0.0001789971)) 0.0694555761)) (+ (+ 1.0 (* 0.7715471019 (* x x))) (* (pow x 4) (+ 0.2909738639 (+ (* (pow x 6) 0.0008327945) (* (pow x 4) 0.0140005442)))))))

simplify810.0ms

Counts
154 → 154
Iterations

Useful iterations: done (796.0ms)

IterNodesCost
040010452
113339890
done50009115

prune2.2s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize92.0ms

Local error

Found 4 expressions with local error:

0.7b
(* (pow x 6) (* 2.0 0.0001789971))
0.7b
(* 0.0001789971 (pow x 6))
0.7b
(/ x (+ (* (pow x 6) (+ (* (pow x 6) (* 2.0 0.0001789971)) 0.0694555761)) (+ (+ 1.0 (* 0.7715471019 (* x x))) (* (pow x 4) (+ 0.2909738639 (+ (* (pow x 6) 0.0008327945) (* (pow x 4) 0.0140005442)))))))
28.3b
(* (+ (+ (+ 1.0 (* 0.1049934947 (* x x))) (* (pow x 6) 0.0072644182)) (* (pow x 4) (+ 0.0424060604 (+ (* (pow x 4) 0.0005064034) (* 0.0001789971 (pow x 6)))))) (/ x (+ (* (pow x 6) (+ (* (pow x 6) (* 2.0 0.0001789971)) 0.0694555761)) (+ (+ 1.0 (* 0.7715471019 (* x x))) (* (pow x 4) (+ 0.2909738639 (+ (* (pow x 6) 0.0008327945) (* (pow x 4) 0.0140005442))))))))

rewrite936.0ms

Algorithm
rewrite-expression-head
Rules
49×associate-*r/
48×frac-add
44×flip3-+ flip-+
35×add-sqr-sqrt associate-*r*
29×add-exp-log
28×associate-/r/
25×add-cube-cbrt *-un-lft-identity
19×times-frac
18×add-cbrt-cube
14×prod-exp
13×associate-*l*
7×unpow-prod-down
6×pow1 frac-times associate-*l/ cbrt-unprod
5×unswap-sqr
4×add-log-exp
3×pow-to-exp pow-exp associate-/r* *-commutative associate-/l* sqr-pow
2×cbrt-undiv div-exp div-inv
1×frac-2neg pow-prod-down clear-num
Counts
4 → 148
Calls
4 calls:
22.0ms
(* (pow x 6) (* 2.0 0.0001789971))
12.0ms
(* 0.0001789971 (pow x 6))
162.0ms
(/ x (+ (* (pow x 6) (+ (* (pow x 6) (* 2.0 0.0001789971)) 0.0694555761)) (+ (+ 1.0 (* 0.7715471019 (* x x))) (* (pow x 4) (+ 0.2909738639 (+ (* (pow x 6) 0.0008327945) (* (pow x 4) 0.0140005442)))))))
732.0ms
(* (+ (+ (+ 1.0 (* 0.1049934947 (* x x))) (* (pow x 6) 0.0072644182)) (* (pow x 4) (+ 0.0424060604 (+ (* (pow x 4) 0.0005064034) (* 0.0001789971 (pow x 6)))))) (/ x (+ (* (pow x 6) (+ (* (pow x 6) (* 2.0 0.0001789971)) 0.0694555761)) (+ (+ 1.0 (* 0.7715471019 (* x x))) (* (pow x 4) (+ 0.2909738639 (+ (* (pow x 6) 0.0008327945) (* (pow x 4) 0.0140005442))))))))

series796.0ms

Counts
4 → 12
Calls
4 calls:
86.0ms
(* (pow x 6) (* 2.0 0.0001789971))
64.0ms
(* 0.0001789971 (pow x 6))
230.0ms
(/ x (+ (* (pow x 6) (+ (* (pow x 6) (* 2.0 0.0001789971)) 0.0694555761)) (+ (+ 1.0 (* 0.7715471019 (* x x))) (* (pow x 4) (+ 0.2909738639 (+ (* (pow x 6) 0.0008327945) (* (pow x 4) 0.0140005442)))))))
416.0ms
(* (+ (+ (+ 1.0 (* 0.1049934947 (* x x))) (* (pow x 6) 0.0072644182)) (* (pow x 4) (+ 0.0424060604 (+ (* (pow x 4) 0.0005064034) (* 0.0001789971 (pow x 6)))))) (/ x (+ (* (pow x 6) (+ (* (pow x 6) (* 2.0 0.0001789971)) 0.0694555761)) (+ (+ 1.0 (* 0.7715471019 (* x x))) (* (pow x 4) (+ 0.2909738639 (+ (* (pow x 6) 0.0008327945) (* (pow x 4) 0.0140005442))))))))

simplify833.0ms

Counts
160 → 160
Iterations

Useful iterations: done (819.0ms)

IterNodesCost
043011650
1147010938
done500110281

prune2.4s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize102.0ms

Local error

Found 4 expressions with local error:

0.7b
(/ x (+ (* (pow x 6) (+ (* (sqrt (pow x 6)) (* (sqrt (pow x 6)) (* 2.0 0.0001789971))) 0.0694555761)) (+ (+ 1.0 (* 0.7715471019 (* x x))) (* (pow x 4) (+ 0.2909738639 (+ (* (pow x 6) 0.0008327945) (* (pow x 4) 0.0140005442)))))))
12.4b
(sqrt (pow x 6))
12.4b
(sqrt (pow x 6))
28.3b
(* (+ (+ (+ 1.0 (* 0.1049934947 (* x x))) (* (pow x 6) 0.0072644182)) (* (pow x 4) (+ 0.0424060604 (+ (* (pow x 4) 0.0005064034) (* 0.0001789971 (pow x 6)))))) (/ x (+ (* (pow x 6) (+ (* (sqrt (pow x 6)) (* (sqrt (pow x 6)) (* 2.0 0.0001789971))) 0.0694555761)) (+ (+ 1.0 (* 0.7715471019 (* x x))) (* (pow x 4) (+ 0.2909738639 (+ (* (pow x 6) 0.0008327945) (* (pow x 4) 0.0140005442))))))))

rewrite1.2s

Algorithm
rewrite-expression-head
Rules
49×associate-*r/
48×frac-add
44×flip3-+ flip-+
33×add-sqr-sqrt
28×associate-/r/
27×associate-*r*
24×add-cube-cbrt *-un-lft-identity
19×times-frac
14×sqrt-prod
11×add-exp-log add-cbrt-cube
8×unpow-prod-down
6×pow1 frac-times rem-sqrt-square associate-*l/
4×add-log-exp sqr-pow
3×associate-*l* associate-/r* associate-/l*
2×cbrt-undiv sqrt-pow1 pow1/2 div-exp prod-exp cbrt-unprod div-inv unswap-sqr
1×frac-2neg pow-prod-down clear-num *-commutative
Counts
4 → 137
Calls
4 calls:
214.0ms
(/ x (+ (* (pow x 6) (+ (* (sqrt (pow x 6)) (* (sqrt (pow x 6)) (* 2.0 0.0001789971))) 0.0694555761)) (+ (+ 1.0 (* 0.7715471019 (* x x))) (* (pow x 4) (+ 0.2909738639 (+ (* (pow x 6) 0.0008327945) (* (pow x 4) 0.0140005442)))))))
5.0ms
(sqrt (pow x 6))
7.0ms
(sqrt (pow x 6))
981.0ms
(* (+ (+ (+ 1.0 (* 0.1049934947 (* x x))) (* (pow x 6) 0.0072644182)) (* (pow x 4) (+ 0.0424060604 (+ (* (pow x 4) 0.0005064034) (* 0.0001789971 (pow x 6)))))) (/ x (+ (* (pow x 6) (+ (* (sqrt (pow x 6)) (* (sqrt (pow x 6)) (* 2.0 0.0001789971))) 0.0694555761)) (+ (+ 1.0 (* 0.7715471019 (* x x))) (* (pow x 4) (+ 0.2909738639 (+ (* (pow x 6) 0.0008327945) (* (pow x 4) 0.0140005442))))))))

series1.2s

Counts
4 → 12
Calls
4 calls:
262.0ms
(/ x (+ (* (pow x 6) (+ (* (sqrt (pow x 6)) (* (sqrt (pow x 6)) (* 2.0 0.0001789971))) 0.0694555761)) (+ (+ 1.0 (* 0.7715471019 (* x x))) (* (pow x 4) (+ 0.2909738639 (+ (* (pow x 6) 0.0008327945) (* (pow x 4) 0.0140005442)))))))
48.0ms
(sqrt (pow x 6))
40.0ms
(sqrt (pow x 6))
803.0ms
(* (+ (+ (+ 1.0 (* 0.1049934947 (* x x))) (* (pow x 6) 0.0072644182)) (* (pow x 4) (+ 0.0424060604 (+ (* (pow x 4) 0.0005064034) (* 0.0001789971 (pow x 6)))))) (/ x (+ (* (pow x 6) (+ (* (sqrt (pow x 6)) (* (sqrt (pow x 6)) (* 2.0 0.0001789971))) 0.0694555761)) (+ (+ 1.0 (* 0.7715471019 (* x x))) (* (pow x 4) (+ 0.2909738639 (+ (* (pow x 6) 0.0008327945) (* (pow x 4) 0.0140005442))))))))

simplify771.0ms

Counts
149 → 149
Iterations

Useful iterations: done (753.0ms)

IterNodesCost
038912533
1134810867
done500010215

prune2.4s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize135.0ms

Local error

Found 4 expressions with local error:

22.2b
(cbrt (pow x 6))
22.2b
(cbrt (pow x 6))
22.2b
(cbrt (pow x 6))
29.1b
(/ (+ (+ (+ 1.0 (* 0.1049934947 (* x x))) (* (pow x 6) 0.0072644182)) (* (pow x 4) (+ 0.0424060604 (+ (* (pow x 4) 0.0005064034) (* 0.0001789971 (pow x 6)))))) (+ (* (pow x 6) (+ (* (* (cbrt (pow x 6)) (cbrt (pow x 6))) (* (cbrt (pow x 6)) (* 2.0 0.0001789971))) 0.0694555761)) (+ (+ 1.0 (* 0.7715471019 (* x x))) (* (pow x 4) (+ 0.2909738639 (+ (* (pow x 6) 0.0008327945) (* (pow x 4) 0.0140005442)))))))

rewrite642.0ms

Algorithm
rewrite-expression-head
Rules
24×associate-*r/ frac-add
22×flip3-+ flip-+
21×cbrt-prod
18×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
14×associate-/r/
9×unpow-prod-down times-frac
6×add-exp-log add-cbrt-cube associate-/l/
4×pow1 add-log-exp
3×pow1/3 associate-/r* associate-/l* sqr-pow
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
4 → 92
Calls
4 calls:
2.0ms
(cbrt (pow x 6))
2.0ms
(cbrt (pow x 6))
2.0ms
(cbrt (pow x 6))
632.0ms
(/ (+ (+ (+ 1.0 (* 0.1049934947 (* x x))) (* (pow x 6) 0.0072644182)) (* (pow x 4) (+ 0.0424060604 (+ (* (pow x 4) 0.0005064034) (* 0.0001789971 (pow x 6)))))) (+ (* (pow x 6) (+ (* (* (cbrt (pow x 6)) (cbrt (pow x 6))) (* (cbrt (pow x 6)) (* 2.0 0.0001789971))) 0.0694555761)) (+ (+ 1.0 (* 0.7715471019 (* x x))) (* (pow x 4) (+ 0.2909738639 (+ (* (pow x 6) 0.0008327945) (* (pow x 4) 0.0140005442)))))))

series409.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(cbrt (pow x 6))
34.0ms
(cbrt (pow x 6))
39.0ms
(cbrt (pow x 6))
313.0ms
(/ (+ (+ (+ 1.0 (* 0.1049934947 (* x x))) (* (pow x 6) 0.0072644182)) (* (pow x 4) (+ 0.0424060604 (+ (* (pow x 4) 0.0005064034) (* 0.0001789971 (pow x 6)))))) (+ (* (pow x 6) (+ (* (* (cbrt (pow x 6)) (cbrt (pow x 6))) (* (cbrt (pow x 6)) (* 2.0 0.0001789971))) 0.0694555761)) (+ (+ 1.0 (* 0.7715471019 (* x x))) (* (pow x 4) (+ 0.2909738639 (+ (* (pow x 6) 0.0008327945) (* (pow x 4) 0.0140005442)))))))

simplify649.0ms

Counts
104 → 104
Iterations

Useful iterations: done (640.0ms)

IterNodesCost
02797455
19417160
done50016043

prune1.6s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes73.0ms

Accuracy

99.9% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 29.3b

bsearch612.0ms

Steps
ItersRangePoint
11
9.093534403752284e-26
13730598.322931442
1334.450598697677
5
-1.1941517926520358e+22
-3.4477040080895885e+21
-4.579277652761034e+21

simplify10.0ms

Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
063117
193103
done93103

end0.0ms

sample3.0s

Algorithm
intervals
Results
2.7s8000×body80valid