Details

Time bar (total: 1.9s)

sample16.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0288
1508
2698
3758
4758

prune2.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ 2.30753 (* x 0.27061))
0.1b
(* x (+ 0.99229 (* x 0.04481)))
14.0b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
74×*-un-lft-identity
28×distribute-lft-out
25×times-frac
20×add-sqr-sqrt
18×add-cube-cbrt
17×associate-*l*
7×add-exp-log add-cbrt-cube
5×pow1 associate-*r* associate-/r* associate-/l* add-log-exp
4×flip3-+ flip-+
3×+-commutative expm1-log1p-u fma-def log1p-expm1-u
2×distribute-rgt-in distribute-lft-in associate-*r/ associate-/r/ associate-/l/
1×cbrt-undiv frac-2neg div-exp pow-prod-down prod-exp clear-num sum-log *-commutative cbrt-unprod div-inv unswap-sqr
Counts
3 → 99
Calls
3 calls:
6.0ms
(+ 2.30753 (* x 0.27061))
10.0ms
(* x (+ 0.99229 (* x 0.04481)))
23.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series164.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(+ 2.30753 (* x 0.27061))
67.0ms
(* x (+ 0.99229 (* x 0.04481)))
64.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify55.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0383793
11637681
25001659

prune173.0ms

Filtered
108 candidates to 70 candidates (35.2%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New1071108
Fresh000
Picked101
Done000
Total1081109

Merged error: 0b

Counts
109 → 1

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (/ 1 (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (/ (fma 0.27061 x 2.30753) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))))
0.1b
(/ 1 (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
13.9b
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
13.9b
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite122.0ms

Algorithm
rewrite-expression-head
Rules
318×*-un-lft-identity
248×associate-/r*
221×sqrt-prod
201×add-sqr-sqrt
196×frac-times
143×add-cube-cbrt
94×times-frac associate-/l*
84×distribute-lft-out
72×associate-*l*
32×clear-num
31×frac-2neg
30×add-exp-log associate-*r*
18×add-cbrt-cube
17×unswap-sqr
14×associate-*r/ associate-*l/
10×pow1 sqrt-div div-exp
8×prod-exp
6×associate-/r/
5×cbrt-undiv flip3-+ flip-+
4×expm1-log1p-u cbrt-unprod hypot-def log1p-expm1-u add-log-exp
3×rec-exp pow-flip sqrt-pow1 pow1/2 1-exp div-inv
2×rem-sqrt-square un-div-inv
1×pow-prod-down *-commutative inv-pow
Counts
4 → 423
Calls
4 calls:
56.0ms
(* (/ 1 (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (/ (fma 0.27061 x 2.30753) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))))
14.0ms
(/ 1 (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
13.0ms
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
16.0ms
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series336.0ms

Counts
4 → 12
Calls
4 calls:
59.0ms
(* (/ 1 (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))) (/ (fma 0.27061 x 2.30753) (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))))
107.0ms
(/ 1 (sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))
84.0ms
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
85.0ms
(sqrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify101.0ms

Algorithm
egg-herbie
Counts
435 → 435
Iterations

Useful iterations: 1 (33.0ms)

IterNodesCost
012386416
150015431

prune554.0ms

Filtered
435 candidates to 169 candidates (61.1%)
Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New4350435
Fresh000
Picked011
Done000
Total4351436

Merged error: 0b

Counts
436 → 1

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02415
12415

end0.0ms

sample325.0ms

Algorithm
intervals
Results
238.0ms8000×body80valid