Details

Time bar (total: 1.3s)

analyze3.0ms (0.2%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
75%25%0%4
75%12.5%12.5%5
75%6.2%18.8%6
75%3.1%21.9%7
75%1.6%23.5%8
75%0.8%24.3%9
75%0.4%24.6%10
75%0.2%24.8%11
75%0.1%24.9%12
75%0%24.9%13
75%0%25%14

sample11.0ms (0.8%)

Algorithm
1×intervals
Results
6.0ms256×body80valid

simplify13.0ms (1%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (12.0ms)

IterNodesCost
03419
13419

prune4.0ms (0.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize6.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b
(+ 0.253 (* x 0.12))
0.1b
(* x (+ 0.253 (* x 0.12)))

rewrite8.0ms (0.6%)

Algorithm
1×rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
3×associate-*r* associate-*l*
2×flip3-+ associate-*r/ flip-+
1×+-commutative distribute-rgt-in distribute-lft-in pow-prod-down prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
Counts
2 → 33
Calls

2 calls:

5.0ms
(* x (+ 0.253 (* x 0.12)))
3.0ms
(+ 0.253 (* x 0.12))

series9.0ms (0.7%)

Counts
2 → 6
Calls

2 calls:

6.0ms
(* x (+ 0.253 (* x 0.12)))
3.0ms
(+ 0.253 (* x 0.12))

simplify49.0ms (3.7%)

Algorithm
1×egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
05079325

prune79.0ms (5.9%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New33639
Fresh000
Picked101
Done000
Total34640

Merged error: 0.0b

Counts
40 → 6

localize7.0ms (0.5%)

Local error

Found 2 expressions with local error:

0.0b
(+ (* x 0.253) (* x (* x 0.12)))
0.2b
(* x (* x 0.12))

rewrite9.0ms (0.7%)

Algorithm
1×rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
4×add-log-exp
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*l* pow-prod-down prod-exp cbrt-unprod
1×+-commutative flip3-+ associate-*r* sum-log *-commutative flip-+ distribute-lft-out
Counts
2 → 30
Calls

2 calls:

5.0ms
(* x (* x 0.12))
4.0ms
(+ (* x 0.253) (* x (* x 0.12)))

series9.0ms (0.7%)

Counts
2 → 6
Calls

2 calls:

6.0ms
(+ (* x 0.253) (* x (* x 0.12)))
3.0ms
(* x (* x 0.12))

simplify54.0ms (4%)

Algorithm
1×egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
04942272
14942272

prune56.0ms (4.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New35136
Fresh325
Picked011
Done000
Total38442

Merged error: 0.0b

Counts
42 → 4

localize14.0ms (1%)

Local error

Found 4 expressions with local error:

0.1b
(* x (/ (- (* 0.253 0.253) (* 0.12 (* x (* x 0.12)))) (- 0.253 (* x 0.12))))
0.2b
(* 0.12 (* x (* x 0.12)))
0.2b
(* x (* x 0.12))
0.2b
(/ (- (* 0.253 0.253) (* 0.12 (* x (* x 0.12)))) (- 0.253 (* x 0.12)))

rewrite32.0ms (2.4%)

Algorithm
1×rewrite-expression-head
Rules
27×add-sqr-sqrt
25×add-exp-log add-cbrt-cube
22×add-cube-cbrt *-un-lft-identity
20×pow1
19×times-frac
17×associate-*r*
11×prod-exp cbrt-unprod
10×pow-prod-down
9×associate-*l*
4×associate-/r/ add-log-exp
3×flip3-- associate-/r* *-commutative flip-- associate-/l*
2×cbrt-undiv div-exp div-inv associate-/l/ unswap-sqr
1×frac-2neg div-sub associate-*r/ clear-num
Counts
4 → 105
Calls

4 calls:

10.0ms
(* x (/ (- (* 0.253 0.253) (* 0.12 (* x (* x 0.12)))) (- 0.253 (* x 0.12))))
7.0ms
(/ (- (* 0.253 0.253) (* 0.12 (* x (* x 0.12)))) (- 0.253 (* x 0.12)))
6.0ms
(* 0.12 (* x (* x 0.12)))
5.0ms
(* x (* x 0.12))

series27.0ms (2%)

Counts
4 → 12
Calls

4 calls:

12.0ms
(* x (/ (- (* 0.253 0.253) (* 0.12 (* x (* x 0.12)))) (- 0.253 (* x 0.12))))
9.0ms
(/ (- (* 0.253 0.253) (* 0.12 (* x (* x 0.12)))) (- 0.253 (* x 0.12)))
3.0ms
(* x (* x 0.12))
3.0ms
(* 0.12 (* x (* x 0.12)))

simplify29.0ms (2.2%)

Algorithm
1×egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 0 (18.0ms)

IterNodesCost
052151451

prune226.0ms (16.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1161117
Fresh022
Picked011
Done011
Total1165121

Merged error: 0b

Counts
121 → 5

localize17.0ms (1.3%)

Local error

Found 4 expressions with local error:

0.2b
(* x (* 0.12 x))
0.2b
(/ (- (* 0.253 0.253) (* (sqrt 0.12) (* (* x (* 0.12 x)) (sqrt 0.12)))) (- 0.253 (* x 0.12)))
0.2b
(* (* x (* 0.12 x)) (sqrt 0.12))
0.2b
(* (sqrt 0.12) (* (* x (* 0.12 x)) (sqrt 0.12)))

rewrite35.0ms (2.6%)

Algorithm
1×rewrite-expression-head
Rules
34×add-exp-log add-cbrt-cube
32×pow1
19×pow-prod-down prod-exp cbrt-unprod
17×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
10×associate-*l*
9×times-frac
8×associate-*r*
6×sqrt-prod
4×add-log-exp
3×associate-/r* *-commutative associate-/l*
2×flip3-- associate-/r/ flip-- associate-/l/
1×cbrt-undiv frac-2neg div-sub div-exp clear-num div-inv
Counts
4 → 101
Calls

4 calls:

12.0ms
(* (sqrt 0.12) (* (* x (* 0.12 x)) (sqrt 0.12)))
8.0ms
(* (* x (* 0.12 x)) (sqrt 0.12))
7.0ms
(/ (- (* 0.253 0.253) (* (sqrt 0.12) (* (* x (* 0.12 x)) (sqrt 0.12)))) (- 0.253 (* x 0.12)))
5.0ms
(* x (* 0.12 x))

series27.0ms (2%)

Counts
4 → 12
Calls

4 calls:

9.0ms
(* (sqrt 0.12) (* (* x (* 0.12 x)) (sqrt 0.12)))
9.0ms
(/ (- (* 0.253 0.253) (* (sqrt 0.12) (* (* x (* 0.12 x)) (sqrt 0.12)))) (- 0.253 (* x 0.12)))
6.0ms
(* (* x (* 0.12 x)) (sqrt 0.12))
3.0ms
(* x (* 0.12 x))

simplify62.0ms (4.6%)

Algorithm
1×egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
050581405

prune245.0ms (18.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1130113
Fresh022
Picked011
Done022
Total1135118

Merged error: 0b

Counts
118 → 5

regimes31.0ms (2.3%)

Accuracy

Total 0.1b remaining (79%)

Threshold costs 0.1b (79%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
07511
17511

end0.0ms (0%)

sample279.0ms (20.8%)

Algorithm
1×intervals
Results
192.0ms8000×body80valid
0.0ms2×body80invalid

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