Details

Time bar (total: 1.3s)

analyze6.0ms (0.5%)

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
87.5%12.5%0%5
93.7%6.2%0%6
96.8%3.1%0%7
98.4%1.6%0%8
99.2%0.8%0%9
99.6%0.4%0%10
99.8%0.2%0%11
99.8%0.1%0.1%12
99.8%0%0.1%13
99.8%0%0.2%14

sample20.0ms (1.5%)

Algorithm
1×intervals
Results
11.0ms256×body80valid

simplify4.0ms (0.3%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0219
1219

prune10.0ms (0.8%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 2

localize9.0ms (0.7%)

Local error

Found 2 expressions with local error:

0.0b
(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
0.1b
(* (/ 841.0 108.0) x)

rewrite23.0ms (1.8%)

Algorithm
1×rewrite-expression-head
Rules
15×add-sqr-sqrt
13×associate-*l*
10×add-cube-cbrt *-un-lft-identity times-frac
7×add-exp-log add-cbrt-cube
4×pow1 add-log-exp
3×associate-*r*
2×associate-*l/ prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv +-commutative flip3-+ div-exp pow-prod-down frac-add sum-log *-commutative flip-+ div-inv
Counts
2 → 44
Calls

2 calls:

12.0ms
(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
10.0ms
(* (/ 841.0 108.0) x)

series5.0ms (0.4%)

Counts
2 → 6
Calls

2 calls:

3.0ms
(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
2.0ms
(* (/ 841.0 108.0) x)

simplify45.0ms (3.5%)

Algorithm
1×egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
04950401
14950401

prune85.0ms (6.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New47350
Fresh101
Picked011
Done000
Total48452

Merged error: 0b

Counts
52 → 4

localize6.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b
(+ (/ (* 841.0 x) 108.0) (/ 4.0 29.0))
0.3b
(/ (* 841.0 x) 108.0)

rewrite16.0ms (1.2%)

Algorithm
1×rewrite-expression-head
Rules
7×add-exp-log add-cbrt-cube
6×*-un-lft-identity
4×add-sqr-sqrt add-cube-cbrt add-log-exp
3×times-frac associate-/r*
2×pow1 cbrt-undiv div-exp
1×+-commutative frac-2neg flip3-+ frac-add prod-exp clear-num sum-log cbrt-unprod flip-+ div-inv distribute-lft-out associate-/l*
Counts
2 → 34
Calls

2 calls:

9.0ms
(+ (/ (* 841.0 x) 108.0) (/ 4.0 29.0))
6.0ms
(/ (* 841.0 x) 108.0)

series5.0ms (0.4%)

Counts
2 → 6
Calls

2 calls:

3.0ms
(+ (/ (* 841.0 x) 108.0) (/ 4.0 29.0))
2.0ms
(/ (* 841.0 x) 108.0)

simplify64.0ms (4.9%)

Algorithm
1×egg-herbie
Counts
40 → 40
Iterations

Useful iterations: 0 (60.0ms)

IterNodesCost
04941335
14941335

prune60.0ms (4.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New39140
Fresh112
Picked011
Done011
Total40444

Merged error: 0b

Counts
44 → 4

localize8.0ms (0.6%)

Local error

Found 3 expressions with local error:

0.0b
(+ (* (/ 841.0 (sqrt 108.0)) (/ x (sqrt 108.0))) (/ 4.0 29.0))
0.2b
(/ x (sqrt 108.0))
0.3b
(* (/ 841.0 (sqrt 108.0)) (/ x (sqrt 108.0)))

rewrite37.0ms (2.8%)

Algorithm
1×rewrite-expression-head
Rules
74×add-sqr-sqrt
66×times-frac
44×add-cube-cbrt *-un-lft-identity
36×sqrt-prod
22×associate-*r* associate-*l*
17×add-exp-log add-cbrt-cube
9×unswap-sqr
6×associate-/r*
5×pow1 cbrt-undiv div-exp add-log-exp
4×prod-exp cbrt-unprod
3×frac-add div-inv associate-/l*
2×frac-times associate-*r/ associate-*l/
1×+-commutative frac-2neg flip3-+ pow-prod-down clear-num sum-log *-commutative flip-+
Counts
3 → 126
Calls

3 calls:

15.0ms
(* (/ 841.0 (sqrt 108.0)) (/ x (sqrt 108.0)))
10.0ms
(+ (* (/ 841.0 (sqrt 108.0)) (/ x (sqrt 108.0))) (/ 4.0 29.0))
4.0ms
(/ x (sqrt 108.0))

series31.0ms (2.4%)

Counts
3 → 9
Calls

3 calls:

15.0ms
(+ (* (/ 841.0 (sqrt 108.0)) (/ x (sqrt 108.0))) (/ 4.0 29.0))
12.0ms
(* (/ 841.0 (sqrt 108.0)) (/ x (sqrt 108.0)))
5.0ms
(/ x (sqrt 108.0))

simplify61.0ms (4.7%)

Algorithm
1×egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
049601253
149601253

prune258.0ms (19.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1350135
Fresh011
Picked011
Done022
Total1354139

Merged error: 0b

Counts
139 → 4

localize8.0ms (0.6%)

Local error

Found 2 expressions with local error:

0.2b
(* 841.0 (* x 29.0))
0.6b
(/ (+ (* 841.0 (* x 29.0)) (* 108.0 4.0)) (* 108.0 29.0))

rewrite22.0ms (1.7%)

Algorithm
1×rewrite-expression-head
Rules
12×add-exp-log add-cbrt-cube
7×pow1
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×prod-exp cbrt-unprod
3×times-frac associate-*l* pow-prod-down associate-/l*
2×cbrt-undiv div-exp associate-/l/ add-log-exp
1×frac-2neg flip3-+ associate-*r* clear-num associate-/r* *-commutative flip-+ div-inv
Counts
2 → 41
Calls

2 calls:

16.0ms
(/ (+ (* 841.0 (* x 29.0)) (* 108.0 4.0)) (* 108.0 29.0))
6.0ms
(* 841.0 (* x 29.0))

series6.0ms (0.5%)

Counts
2 → 6
Calls

2 calls:

5.0ms
(/ (+ (* 841.0 (* x 29.0)) (* 108.0 4.0)) (* 108.0 29.0))
2.0ms
(* 841.0 (* x 29.0))

simplify43.0ms (3.3%)

Algorithm
1×egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
05382499

prune70.0ms (5.4%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New47047
Fresh000
Picked011
Done033
Total47451

Merged error: 0b

Counts
51 → 4

regimes88.0ms (6.8%)

Accuracy

Total 0.1b remaining (91.9%)

Threshold costs 0.1b (91.9%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0119
1119

end0.0ms (0%)

sample306.0ms (23.5%)

Algorithm
1×intervals
Results
217.0ms7995×body80valid
1.0ms4×body1280valid
0.0ms4×body80invalid
0.0ms1×body640valid

Profiling

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