Details

Time bar (total: 7.5s)

sample54.0ms

Algorithm
intervals
Results
32.0ms256×body80valid

simplify102.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (20.0ms)

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: 26.6b

Counts
2 → 2

localize46.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (* x x) 0.0140005442)
0.4b
(* (* x x) 0.0072644182)
14.3b
(/ 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))))))
22.8b
(/ (+ (+ (* (* 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)))))

rewrite96.0ms

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×associate-*r* pow-prod-down prod-exp cbrt-unprod div-inv associate-/l*
4×cbrt-undiv div-exp add-log-exp
2×frac-2neg associate-*l* clear-num *-commutative unswap-sqr
Counts
4 → 219
Calls
4 calls:
6.0ms
(* (* x x) 0.0140005442)
6.0ms
(* (* x x) 0.0072644182)
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))))))
35.0ms
(/ (+ (+ (* (* 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)))))

series502.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(* (* x x) 0.0140005442)
30.0ms
(* (* x x) 0.0072644182)
256.0ms
(/ 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))))))
193.0ms
(/ (+ (+ (* (* 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)))))

simplify159.0ms

Algorithm
egg-herbie
Counts
231 → 231
Iterations

Useful iterations: 1 (38.0ms)

IterNodesCost
0177614289
1500113790

prune2.5s

Filtered
231 candidates to 196 candidates (84.8%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New2292231
Fresh101
Picked101
Done000
Total2312233

Merged error: 0b

Counts
233 → 2

localize47.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* x x) 0.0001789971)
0.4b
(* (* x x) 0.0140005442)
0.4b
(* (* x x) 0.0072644182)
26.2b
(* (/ 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
102×associate-*r/
60×frac-add
51×flip3-+ flip-+
41×add-exp-log
31×add-cbrt-cube
30×associate-*l*
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
10×associate-*r*
9×times-frac
4×distribute-rgt-in distribute-lft-in div-exp *-commutative add-log-exp
3×unswap-sqr
2×cbrt-undiv rec-exp 1-exp
1×associate-*l/ div-inv
Counts
4 → 140
Calls
4 calls:
6.0ms
(* (* x x) 0.0001789971)
6.0ms
(* (* x x) 0.0140005442)
6.0ms
(* (* x x) 0.0072644182)
39.0ms
(* (/ 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))))))

series335.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(* (* x x) 0.0001789971)
23.0ms
(* (* x x) 0.0140005442)
23.0ms
(* (* x x) 0.0072644182)
259.0ms
(* (/ 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))))))

simplify88.0ms

Algorithm
egg-herbie
Counts
152 → 152
Iterations

Useful iterations: 1 (39.0ms)

IterNodesCost
017505758
150015537

prune1.2s

Filtered
152 candidates to 109 candidates (71.7%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1520152
Fresh011
Picked011
Done000
Total1522154

Merged error: 0b

Counts
154 → 2

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite48.0ms

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)))
5.0ms
(/ 1 (pow x 5))
6.0ms
(/ 1 (pow x 3))
14.0ms
(* 0.2514179000665375 (/ 1 (pow x 3)))

series157.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(* 0.15298196345929327 (/ 1 (pow x 5)))
45.0ms
(/ 1 (pow x 5))
29.0ms
(/ 1 (pow x 3))
38.0ms
(* 0.2514179000665375 (/ 1 (pow x 3)))

simplify74.0ms

Algorithm
egg-herbie
Counts
271 → 271
Iterations

Useful iterations: 1 (18.0ms)

IterNodesCost
06311208
13260888
25001888

prune387.0ms

Filtered
271 candidates to 122 candidates (45.0%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New2710271
Fresh000
Picked011
Done011
Total2712273

Merged error: 0b

Counts
273 → 2

regimes36.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 29.6b

bsearch451.0ms

Steps
ItersRangePoint
10
0.0002141056345597589
3206628.0142593775
636.2583941917387
9
-4.482780336514811e+21
-4.816760182774211e+16
-2.4223964109651214e+19

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010752
110752

end0.0ms

sample1.0s

Algorithm
intervals
Results
939.0ms8000×body80valid