Details

Time bar (total: 9.3s)

sample47.0ms

Algorithm
intervals
Results
25.0ms256×body80valid

simplify109.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
013286
155778
2262241
3500141

prune23.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 28.6b

Counts
2 → 2

localize44.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 0.1049934947 (* x x))
0.2b
(* (* x x) 0.0140005442)
15.1b
(/ x (/ (+ (+ (* (* x (* (pow (* x x) 3) (pow x 3))) (+ 0.0008327945 (* (* x x) (* 2.0 0.0001789971)))) (+ (* (* x x) (+ 0.7715471019 (* 0.2909738639 (* x x)))) 1.0)) (* (pow x 6) (+ 0.0694555761 (* (* x x) 0.0140005442)))) (+ (+ (* (pow (* x x) 4) (+ 0.0005064034 (* (* x x) 0.0001789971))) (+ 1.0 (* 0.1049934947 (* x x)))) (* (pow x 4) (+ 0.0424060604 (* (* x x) 0.0072644182))))))
24.5b
(/ (+ (+ (* (* x (* (pow (* x x) 3) (pow x 3))) (+ 0.0008327945 (* (* x x) (* 2.0 0.0001789971)))) (+ (* (* x x) (+ 0.7715471019 (* 0.2909738639 (* x x)))) 1.0)) (* (pow x 6) (+ 0.0694555761 (* (* x x) 0.0140005442)))) (+ (+ (* (pow (* x x) 4) (+ 0.0005064034 (* (* x x) 0.0001789971))) (+ 1.0 (* 0.1049934947 (* x x)))) (* (pow x 4) (+ 0.0424060604 (* (* x x) 0.0072644182)))))

rewrite94.0ms

Algorithm
rewrite-expression-head
Rules
126×times-frac
120×associate-*r/ frac-add
102×flip3-+ flip-+
72×add-sqr-sqrt
71×associate-/r/
70×add-cube-cbrt *-un-lft-identity
30×associate-/r*
21×add-exp-log add-cbrt-cube
14×pow1 associate-/l/
6×pow-prod-down prod-exp cbrt-unprod div-inv associate-/l*
4×cbrt-undiv div-exp associate-*r* associate-*l* add-log-exp
2×frac-2neg clear-num *-commutative unswap-sqr
Counts
4 → 219
Calls
4 calls:
6.0ms
(* 0.1049934947 (* x x))
6.0ms
(* (* x x) 0.0140005442)
29.0ms
(/ x (/ (+ (+ (* (* x (* (pow (* x x) 3) (pow x 3))) (+ 0.0008327945 (* (* x x) (* 2.0 0.0001789971)))) (+ (* (* x x) (+ 0.7715471019 (* 0.2909738639 (* x x)))) 1.0)) (* (pow x 6) (+ 0.0694555761 (* (* x x) 0.0140005442)))) (+ (+ (* (pow (* x x) 4) (+ 0.0005064034 (* (* x x) 0.0001789971))) (+ 1.0 (* 0.1049934947 (* x x)))) (* (pow x 4) (+ 0.0424060604 (* (* x x) 0.0072644182))))))
37.0ms
(/ (+ (+ (* (* x (* (pow (* x x) 3) (pow x 3))) (+ 0.0008327945 (* (* x x) (* 2.0 0.0001789971)))) (+ (* (* x x) (+ 0.7715471019 (* 0.2909738639 (* x x)))) 1.0)) (* (pow x 6) (+ 0.0694555761 (* (* x x) 0.0140005442)))) (+ (+ (* (pow (* x x) 4) (+ 0.0005064034 (* (* x x) 0.0001789971))) (+ 1.0 (* 0.1049934947 (* x x)))) (* (pow x 4) (+ 0.0424060604 (* (* x x) 0.0072644182)))))

series514.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* 0.1049934947 (* x x))
28.0ms
(* (* x x) 0.0140005442)
259.0ms
(/ x (/ (+ (+ (* (* x (* (pow (* x x) 3) (pow x 3))) (+ 0.0008327945 (* (* x x) (* 2.0 0.0001789971)))) (+ (* (* x x) (+ 0.7715471019 (* 0.2909738639 (* x x)))) 1.0)) (* (pow x 6) (+ 0.0694555761 (* (* x x) 0.0140005442)))) (+ (+ (* (pow (* x x) 4) (+ 0.0005064034 (* (* x x) 0.0001789971))) (+ 1.0 (* 0.1049934947 (* x x)))) (* (pow x 4) (+ 0.0424060604 (* (* x x) 0.0072644182))))))
202.0ms
(/ (+ (+ (* (* x (* (pow (* x x) 3) (pow x 3))) (+ 0.0008327945 (* (* x x) (* 2.0 0.0001789971)))) (+ (* (* x x) (+ 0.7715471019 (* 0.2909738639 (* x x)))) 1.0)) (* (pow x 6) (+ 0.0694555761 (* (* x x) 0.0140005442)))) (+ (+ (* (pow (* x x) 4) (+ 0.0005064034 (* (* x x) 0.0001789971))) (+ 1.0 (* 0.1049934947 (* x x)))) (* (pow x 4) (+ 0.0424060604 (* (* x x) 0.0072644182)))))

simplify160.0ms

Algorithm
egg-herbie
Counts
231 → 231
Iterations

Useful iterations: 1 (40.0ms)

IterNodesCost
0177214288
1500313789

prune2.5s

Filtered
231 candidates to 195 candidates (84.4%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New2283231
Fresh101
Picked101
Done000
Total2303233

Merged error: 0b

Counts
233 → 3

localize48.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* x x) (+ 0.7715471019 (* 0.2909738639 (* x x))))
0.1b
(* 0.1049934947 (* x x))
0.2b
(* (* x x) 0.0140005442)
28.2b
(* (/ 1 (+ (+ (* (* x (* (pow (* x x) 3) (pow x 3))) (+ 0.0008327945 (* (* x x) (* 2.0 0.0001789971)))) (+ (* (* x x) (+ 0.7715471019 (* 0.2909738639 (* x x)))) 1.0)) (* (pow x 6) (+ 0.0694555761 (* (* x x) 0.0140005442))))) (* x (+ (+ (* (pow (* x x) 4) (+ 0.0005064034 (* (* x x) 0.0001789971))) (+ 1.0 (* 0.1049934947 (* x x)))) (* (pow x 4) (+ 0.0424060604 (* (* x x) 0.0072644182))))))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
104×associate-*r/
60×frac-add
52×flip3-+ flip-+
41×add-exp-log
32×associate-*l*
31×add-cbrt-cube
24×pow1
21×prod-exp
17×add-sqr-sqrt
15×cbrt-unprod
14×frac-times add-cube-cbrt *-un-lft-identity associate-/r/
12×pow-prod-down
9×times-frac
8×associate-*r*
5×distribute-rgt-in distribute-lft-in
4×div-exp *-commutative add-log-exp
3×unswap-sqr
2×cbrt-undiv rec-exp 1-exp
1×associate-*l/ div-inv
Counts
4 → 144
Calls
4 calls:
7.0ms
(* (* x x) (+ 0.7715471019 (* 0.2909738639 (* x x))))
6.0ms
(* 0.1049934947 (* x x))
6.0ms
(* (* x x) 0.0140005442)
40.0ms
(* (/ 1 (+ (+ (* (* x (* (pow (* x x) 3) (pow x 3))) (+ 0.0008327945 (* (* x x) (* 2.0 0.0001789971)))) (+ (* (* x x) (+ 0.7715471019 (* 0.2909738639 (* x x)))) 1.0)) (* (pow x 6) (+ 0.0694555761 (* (* x x) 0.0140005442))))) (* x (+ (+ (* (pow (* x x) 4) (+ 0.0005064034 (* (* x x) 0.0001789971))) (+ 1.0 (* 0.1049934947 (* x x)))) (* (pow x 4) (+ 0.0424060604 (* (* x x) 0.0072644182))))))

series389.0ms

Counts
4 → 12
Calls
4 calls:
86.0ms
(* (* x x) (+ 0.7715471019 (* 0.2909738639 (* x x))))
24.0ms
(* 0.1049934947 (* x x))
24.0ms
(* (* x x) 0.0140005442)
255.0ms
(* (/ 1 (+ (+ (* (* x (* (pow (* x x) 3) (pow x 3))) (+ 0.0008327945 (* (* x x) (* 2.0 0.0001789971)))) (+ (* (* x x) (+ 0.7715471019 (* 0.2909738639 (* x x)))) 1.0)) (* (pow x 6) (+ 0.0694555761 (* (* x x) 0.0140005442))))) (* x (+ (+ (* (pow (* x x) 4) (+ 0.0005064034 (* (* x x) 0.0001789971))) (+ 1.0 (* 0.1049934947 (* x x)))) (* (pow x 4) (+ 0.0424060604 (* (* x x) 0.0072644182))))))

simplify94.0ms

Algorithm
egg-herbie
Counts
156 → 156
Iterations

Useful iterations: 1 (41.0ms)

IterNodesCost
018165873
150015645

prune1.3s

Filtered
156 candidates to 112 candidates (71.8%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1560156
Fresh022
Picked011
Done000
Total1563159

Merged error: 0b

Counts
159 → 3

localize44.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* x x) (+ 0.7715471019 (* 0.2909738639 (* x x))))
0.1b
(* 0.1049934947 (* x x))
0.2b
(* (* x x) 0.0140005442)
28.1b
(* (/ x (+ (+ (* (* x (* (pow (* x x) 3) (pow x 3))) (+ 0.0008327945 (* (* x x) (* 2.0 0.0001789971)))) (+ (* (* x x) (+ 0.7715471019 (* 0.2909738639 (* x x)))) 1.0)) (* (pow x 6) (+ 0.0694555761 (* (* x x) 0.0140005442))))) (+ (+ (* (pow (* x x) 4) (+ 0.0005064034 (* (* x x) 0.0001789971))) (+ 1.0 (* 0.1049934947 (* x x)))) (* (pow x 4) (+ 0.0424060604 (* (* x x) 0.0072644182)))))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
76×associate-*r/
60×frac-add
52×flip3-+ flip-+
32×associate-*l*
24×add-exp-log add-cbrt-cube
23×add-sqr-sqrt
21×pow1
15×add-cube-cbrt *-un-lft-identity
14×frac-times associate-/r/
11×prod-exp cbrt-unprod
10×times-frac associate-*r* pow-prod-down
5×unswap-sqr
4×*-commutative add-log-exp
2×distribute-rgt-in distribute-lft-in
1×cbrt-undiv div-exp associate-*l/ div-inv
Counts
4 → 137
Calls
4 calls:
7.0ms
(* (* x x) (+ 0.7715471019 (* 0.2909738639 (* x x))))
5.0ms
(* 0.1049934947 (* x x))
6.0ms
(* (* x x) 0.0140005442)
41.0ms
(* (/ x (+ (+ (* (* x (* (pow (* x x) 3) (pow x 3))) (+ 0.0008327945 (* (* x x) (* 2.0 0.0001789971)))) (+ (* (* x x) (+ 0.7715471019 (* 0.2909738639 (* x x)))) 1.0)) (* (pow x 6) (+ 0.0694555761 (* (* x x) 0.0140005442))))) (+ (+ (* (pow (* x x) 4) (+ 0.0005064034 (* (* x x) 0.0001789971))) (+ 1.0 (* 0.1049934947 (* x x)))) (* (pow x 4) (+ 0.0424060604 (* (* x x) 0.0072644182)))))

series403.0ms

Counts
4 → 12
Calls
4 calls:
88.0ms
(* (* x x) (+ 0.7715471019 (* 0.2909738639 (* x x))))
23.0ms
(* 0.1049934947 (* x x))
29.0ms
(* (* x x) 0.0140005442)
262.0ms
(* (/ x (+ (+ (* (* x (* (pow (* x x) 3) (pow x 3))) (+ 0.0008327945 (* (* x x) (* 2.0 0.0001789971)))) (+ (* (* x x) (+ 0.7715471019 (* 0.2909738639 (* x x)))) 1.0)) (* (pow x 6) (+ 0.0694555761 (* (* x x) 0.0140005442))))) (+ (+ (* (pow (* x x) 4) (+ 0.0005064034 (* (* x x) 0.0001789971))) (+ 1.0 (* 0.1049934947 (* x x)))) (* (pow x 4) (+ 0.0424060604 (* (* x x) 0.0072644182)))))

simplify94.0ms

Algorithm
egg-herbie
Counts
149 → 149
Iterations

Useful iterations: 1 (41.0ms)

IterNodesCost
018725420
150015250

prune1.3s

Filtered
149 candidates to 113 candidates (75.8%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1490149
Fresh011
Picked011
Done011
Total1493152

Merged error: 0b

Counts
152 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 0.15298196345929327 (/ 1 (pow x 5)))
0.1b
(* 0.2514179000665375 (/ 1 (pow x 3)))
0.2b
(/ 1 (pow x 5))
0.2b
(/ 1 (pow x 3))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
128×times-frac
118×add-sqr-sqrt
90×*-un-lft-identity
83×add-cube-cbrt
65×associate-*r*
62×add-exp-log
46×unpow-prod-down
24×div-exp
23×cube-prod
20×prod-exp
19×associate-/r*
18×add-cbrt-cube sqr-pow
16×unswap-sqr
12×pow-to-exp rec-exp 1-exp pow-exp
8×pow1
7×cube-mult unpow3
6×associate-*l* associate-/l*
4×cbrt-undiv cbrt-unprod div-inv add-log-exp
2×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative inv-pow
Counts
4 → 259
Calls
4 calls:
11.0ms
(* 0.15298196345929327 (/ 1 (pow x 5)))
14.0ms
(* 0.2514179000665375 (/ 1 (pow x 3)))
5.0ms
(/ 1 (pow x 5))
6.0ms
(/ 1 (pow x 3))

series162.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(* 0.15298196345929327 (/ 1 (pow x 5)))
35.0ms
(* 0.2514179000665375 (/ 1 (pow x 3)))
46.0ms
(/ 1 (pow x 5))
30.0ms
(/ 1 (pow x 3))

simplify69.0ms

Algorithm
egg-herbie
Counts
271 → 271
Iterations

Useful iterations: 1 (19.0ms)

IterNodesCost
06311208
13260888
25001888

prune394.0ms

Filtered
271 candidates to 122 candidates (45.0%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New2710271
Fresh000
Picked011
Done022
Total2713274

Merged error: 0b

Counts
274 → 3

regimes51.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 28.9b

bsearch355.0ms

Steps
ItersRangePoint
7
2027774.326345067
118875297.13418089
2051684.9052176315
8
-27949.393755151574
-3.7752751361666412
-4206.919550679903

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010752
110752

end0.0ms

sample919.0ms

Algorithm
intervals
Results
810.0ms8000×body80valid