Details

Time bar (total: 6.9s)

sample53.0ms

Algorithm
intervals
Results
31.0ms256×body80valid

simplify110.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (23.0ms)

IterNodesCost
013286
161875
2334339
3500139

prune24.0ms

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: 32.6b

Counts
2 → 2

localize48.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* x x) 0.0001789971)
0.1b
(* (* x x) 0.0140005442)
16.4b
(/ x (/ (+ (+ (* (* x (* (pow (* x x) 3) (pow x 3))) (+ 0.0008327945 (* (* x x) (* 2.0 0.0001789971)))) (fma (* 0.2909738639 x) (pow x 3) (fma (* 0.7715471019 x) x 1.0))) (* (pow x 6) (+ 0.0694555761 (* (* x x) 0.0140005442)))) (+ (+ (* (pow (* x x) 4) (+ 0.0005064034 (* (* x x) 0.0001789971))) (fma (* 0.1049934947 x) x 1.0)) (* (pow x 4) (+ 0.0424060604 (* (* x x) 0.0072644182))))))
28.2b
(/ (+ (+ (* (* x (* (pow (* x x) 3) (pow x 3))) (+ 0.0008327945 (* (* x x) (* 2.0 0.0001789971)))) (fma (* 0.2909738639 x) (pow x 3) (fma (* 0.7715471019 x) x 1.0))) (* (pow x 6) (+ 0.0694555761 (* (* x x) 0.0140005442)))) (+ (+ (* (pow (* x x) 4) (+ 0.0005064034 (* (* x x) 0.0001789971))) (fma (* 0.1049934947 x) x 1.0)) (* (pow x 4) (+ 0.0424060604 (* (* x x) 0.0072644182)))))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
102×times-frac
64×add-sqr-sqrt
62×add-cube-cbrt *-un-lft-identity
31×associate-/r/
30×flip3-+ flip-+
24×associate-*r/ frac-add
22×associate-/r*
21×add-exp-log add-cbrt-cube
14×pow1
6×associate-*r* pow-prod-down prod-exp cbrt-unprod div-inv associate-/l/ associate-/l*
4×cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u add-log-exp
2×frac-2neg associate-*l* clear-num *-commutative unswap-sqr
Counts
4 → 179
Calls
4 calls:
6.0ms
(* (* x x) 0.0001789971)
6.0ms
(* (* x x) 0.0140005442)
22.0ms
(/ x (/ (+ (+ (* (* x (* (pow (* x x) 3) (pow x 3))) (+ 0.0008327945 (* (* x x) (* 2.0 0.0001789971)))) (fma (* 0.2909738639 x) (pow x 3) (fma (* 0.7715471019 x) x 1.0))) (* (pow x 6) (+ 0.0694555761 (* (* x x) 0.0140005442)))) (+ (+ (* (pow (* x x) 4) (+ 0.0005064034 (* (* x x) 0.0001789971))) (fma (* 0.1049934947 x) x 1.0)) (* (pow x 4) (+ 0.0424060604 (* (* x x) 0.0072644182))))))
25.0ms
(/ (+ (+ (* (* x (* (pow (* x x) 3) (pow x 3))) (+ 0.0008327945 (* (* x x) (* 2.0 0.0001789971)))) (fma (* 0.2909738639 x) (pow x 3) (fma (* 0.7715471019 x) x 1.0))) (* (pow x 6) (+ 0.0694555761 (* (* x x) 0.0140005442)))) (+ (+ (* (pow (* x x) 4) (+ 0.0005064034 (* (* x x) 0.0001789971))) (fma (* 0.1049934947 x) x 1.0)) (* (pow x 4) (+ 0.0424060604 (* (* x x) 0.0072644182)))))

series531.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* (* x x) 0.0001789971)
26.0ms
(* (* x x) 0.0140005442)
269.0ms
(/ x (/ (+ (+ (* (* x (* (pow (* x x) 3) (pow x 3))) (+ 0.0008327945 (* (* x x) (* 2.0 0.0001789971)))) (fma (* 0.2909738639 x) (pow x 3) (fma (* 0.7715471019 x) x 1.0))) (* (pow x 6) (+ 0.0694555761 (* (* x x) 0.0140005442)))) (+ (+ (* (pow (* x x) 4) (+ 0.0005064034 (* (* x x) 0.0001789971))) (fma (* 0.1049934947 x) x 1.0)) (* (pow x 4) (+ 0.0424060604 (* (* x x) 0.0072644182))))))
212.0ms
(/ (+ (+ (* (* x (* (pow (* x x) 3) (pow x 3))) (+ 0.0008327945 (* (* x x) (* 2.0 0.0001789971)))) (fma (* 0.2909738639 x) (pow x 3) (fma (* 0.7715471019 x) x 1.0))) (* (pow x 6) (+ 0.0694555761 (* (* x x) 0.0140005442)))) (+ (+ (* (pow (* x x) 4) (+ 0.0005064034 (* (* x x) 0.0001789971))) (fma (* 0.1049934947 x) x 1.0)) (* (pow x 4) (+ 0.0424060604 (* (* x x) 0.0072644182)))))

simplify113.0ms

Algorithm
egg-herbie
Counts
191 → 191
Iterations

Useful iterations: 1 (30.0ms)

IterNodesCost
011699364
150018847

prune1.7s

Filtered
191 candidates to 159 candidates (83.2%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1883191
Fresh101
Picked101
Done000
Total1903193

Merged error: 0.0b

Counts
193 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 0.5 (/ 1 x))
0.0b
(fma 0.15298196345929327 (/ 1 (pow x 5)) (* 0.5 (/ 1 x)))
0.0b
(/ 1 (pow x 5))
0.1b
(/ 1 (pow x 3))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
68×times-frac
60×add-sqr-sqrt
54×*-un-lft-identity
53×add-cube-cbrt
31×add-exp-log
24×unpow-prod-down
19×associate-/r*
14×div-exp
13×associate-*r* add-cbrt-cube
12×cube-prod
8×sqr-pow
7×rec-exp 1-exp
6×pow1 pow-to-exp pow-exp associate-/l*
4×expm1-log1p-u cube-mult unpow3 prod-exp log1p-expm1-u add-log-exp
3×cbrt-undiv associate-*l* div-inv unswap-sqr
2×pow-flip frac-2neg clear-num cbrt-unprod inv-pow
1×associate-*r/ pow-prod-down un-div-inv *-commutative fma-udef
Counts
4 → 178
Calls
4 calls:
7.0ms
(* 0.5 (/ 1 x))
1.0ms
(fma 0.15298196345929327 (/ 1 (pow x 5)) (* 0.5 (/ 1 x)))
9.0ms
(/ 1 (pow x 5))
6.0ms
(/ 1 (pow x 3))

series199.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(* 0.5 (/ 1 x))
107.0ms
(fma 0.15298196345929327 (/ 1 (pow x 5)) (* 0.5 (/ 1 x)))
46.0ms
(/ 1 (pow x 5))
30.0ms
(/ 1 (pow x 3))

simplify59.0ms

Algorithm
egg-herbie
Counts
190 → 190
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0458800
12342615
25001607

prune301.0ms

Filtered
190 candidates to 87 candidates (45.8%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1891190
Fresh022
Picked101
Done000
Total1903193

Merged error: 0b

Counts
193 → 3

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma 0.15298196345929327 (/ 1 (pow x 5)) (/ 0.5 x))
0.0b
(/ 1 (pow x 5))
0.1b
(/ 1 (pow x 3))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
57×times-frac
44×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
24×unpow-prod-down
21×add-exp-log
19×associate-/r*
12×cube-prod div-exp
8×sqr-pow
7×add-cbrt-cube
6×pow-to-exp rec-exp 1-exp pow-exp associate-/l*
4×cube-mult unpow3
3×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
2×cbrt-undiv pow-flip frac-2neg clear-num div-inv inv-pow
1×fma-udef
Counts
3 → 140
Calls
3 calls:
1.0ms
(fma 0.15298196345929327 (/ 1 (pow x 5)) (/ 0.5 x))
5.0ms
(/ 1 (pow x 5))
6.0ms
(/ 1 (pow x 3))

series188.0ms

Counts
3 → 9
Calls
3 calls:
112.0ms
(fma 0.15298196345929327 (/ 1 (pow x 5)) (/ 0.5 x))
40.0ms
(/ 1 (pow x 5))
35.0ms
(/ 1 (pow x 3))

simplify41.0ms

Algorithm
egg-herbie
Counts
149 → 149
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0315645
11516498
25001498

prune210.0ms

Filtered
149 candidates to 60 candidates (40.3%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1490149
Fresh022
Picked011
Done000
Total1493152

Merged error: 0b

Counts
152 → 3

localize52.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* x x) (* 2.0 0.0001789971))
0.1b
(/ 1 (+ (+ (* (* x (* (pow (* x x) 3) (pow x 3))) (+ 0.0008327945 (* (* x x) (* 2.0 0.0001789971)))) (fma (* 0.2909738639 x) (pow x 3) (fma (* 0.7715471019 x) x 1.0))) (* (pow x 6) (+ 0.0694555761 (* (* x x) 0.0140005442)))))
0.1b
(* (* x x) 0.0140005442)
31.9b
(* (/ 1 (+ (+ (* (* x (* (pow (* x x) 3) (pow x 3))) (+ 0.0008327945 (* (* x x) (* 2.0 0.0001789971)))) (fma (* 0.2909738639 x) (pow x 3) (fma (* 0.7715471019 x) x 1.0))) (* (pow x 6) (+ 0.0694555761 (* (* x x) 0.0140005442))))) (* x (* 1 (fma (pow x 4) (fma x (* x 0.0072644182) 0.0424060604) (fma (fma x (* x 0.0001789971) 0.0005064034) (pow (* x x) 4) (fma (* 0.1049934947 x) x 1.0))))))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
77×add-exp-log
47×prod-exp
44×add-cbrt-cube
31×pow1
23×cbrt-unprod
21×add-sqr-sqrt associate-*l*
20×add-cube-cbrt *-un-lft-identity
18×times-frac
17×pow-prod-down
12×distribute-rgt-in distribute-lft-in associate-/r/
10×flip3-+ div-exp flip-+
9×1-exp
8×associate-*r/ frac-add fma-udef
5×rec-exp associate-*r*
4×cbrt-undiv expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-/r* *-commutative associate-/l*
2×div-inv
1×pow-flip frac-2neg associate-*l/ clear-num inv-pow unswap-sqr
Counts
4 → 148
Calls
4 calls:
7.0ms
(* (* x x) (* 2.0 0.0001789971))
15.0ms
(/ 1 (+ (+ (* (* x (* (pow (* x x) 3) (pow x 3))) (+ 0.0008327945 (* (* x x) (* 2.0 0.0001789971)))) (fma (* 0.2909738639 x) (pow x 3) (fma (* 0.7715471019 x) x 1.0))) (* (pow x 6) (+ 0.0694555761 (* (* x x) 0.0140005442)))))
6.0ms
(* (* x x) 0.0140005442)
23.0ms
(* (/ 1 (+ (+ (* (* x (* (pow (* x x) 3) (pow x 3))) (+ 0.0008327945 (* (* x x) (* 2.0 0.0001789971)))) (fma (* 0.2909738639 x) (pow x 3) (fma (* 0.7715471019 x) x 1.0))) (* (pow x 6) (+ 0.0694555761 (* (* x x) 0.0140005442))))) (* x (* 1 (fma (pow x 4) (fma x (* x 0.0072644182) 0.0424060604) (fma (fma x (* x 0.0001789971) 0.0005064034) (pow (* x x) 4) (fma (* 0.1049934947 x) x 1.0))))))

series465.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* (* x x) (* 2.0 0.0001789971))
132.0ms
(/ 1 (+ (+ (* (* x (* (pow (* x x) 3) (pow x 3))) (+ 0.0008327945 (* (* x x) (* 2.0 0.0001789971)))) (fma (* 0.2909738639 x) (pow x 3) (fma (* 0.7715471019 x) x 1.0))) (* (pow x 6) (+ 0.0694555761 (* (* x x) 0.0140005442)))))
24.0ms
(* (* x x) 0.0140005442)
284.0ms
(* (/ 1 (+ (+ (* (* x (* (pow (* x x) 3) (pow x 3))) (+ 0.0008327945 (* (* x x) (* 2.0 0.0001789971)))) (fma (* 0.2909738639 x) (pow x 3) (fma (* 0.7715471019 x) x 1.0))) (* (pow x 6) (+ 0.0694555761 (* (* x x) 0.0140005442))))) (* x (* 1 (fma (pow x 4) (fma x (* x 0.0072644182) 0.0424060604) (fma (fma x (* x 0.0001789971) 0.0005064034) (pow (* x x) 4) (fma (* 0.1049934947 x) x 1.0))))))

simplify72.0ms

Algorithm
egg-herbie
Counts
160 → 160
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
010794840
150014114

prune1.0s

Filtered
160 candidates to 97 candidates (60.6%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1600160
Fresh011
Picked011
Done011
Total1603163

Merged error: 0b

Counts
163 → 3

regimes56.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 31.5b

bsearch406.0ms

Steps
ItersRangePoint
10
14.716166499582775
2.5158614700293387e+20
1389.5924547142267
7
-2.00687694352465e+24
-1.818180435287655e+22
-2.0725326491649838e+23

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
09044
19244
29244

end0.0ms

sample999.0ms

Algorithm
intervals
Results
892.0ms8000×body80valid