Details

Time bar (total: 2.1s)

analyze228.0ms (11.1%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
25%74.9%0.1%4
25%74.9%0.1%5
37.4%62.4%0.1%6
46.8%53%0.1%7
52.3%47.6%0.1%8
65.5%34.3%0.1%9
71%28.9%0.1%10
75%24.9%0.1%11
81.6%18.2%0.1%12
84.5%15.4%0.1%13
86.9%13%0.1%14

sample19.0ms (0.9%)

Algorithm
1×intervals
Results
10.0ms256×body80valid

simplify123.0ms (6%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (121.0ms)

IterNodesCost
0469812
1469812

prune7.0ms (0.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 3.3b

Counts
2 → 1

localize9.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b
(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
0.0b
(* 1.1283791670955126 (exp z))
1.2b
(- (* 1.1283791670955126 (exp z)) (* x y))
9.9b
(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite27.0ms (1.3%)

Algorithm
1×rewrite-expression-head
Rules
16×add-sqr-sqrt *-un-lft-identity
14×add-cube-cbrt
9×times-frac
8×add-cbrt-cube add-log-exp
7×add-exp-log
6×pow1
3×associate-*r* associate-*l* associate-/r* associate-/l*
2×flip3-- associate-/r/ flip--
1×cbrt-undiv +-commutative sub-neg frac-2neg flip3-+ diff-log div-exp pow-prod-down prod-exp clear-num sum-log *-commutative cbrt-unprod flip-+ div-inv distribute-lft-out unswap-sqr
Counts
4 → 70
Calls

4 calls:

10.0ms
(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
6.0ms
(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))
5.0ms
(* 1.1283791670955126 (exp z))
5.0ms
(- (* 1.1283791670955126 (exp z)) (* x y))

series51.0ms (2.5%)

Counts
4 → 12
Calls

4 calls:

23.0ms
(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))
14.0ms
(- (* 1.1283791670955126 (exp z)) (* x y))
12.0ms
(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
2.0ms
(* 1.1283791670955126 (exp z))

simplify51.0ms (2.5%)

Algorithm
1×egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
054251001

prune124.0ms (6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New80282
Fresh000
Picked011
Done000
Total80383

Merged error: 0b

Counts
83 → 3

localize9.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b
(- (* (/ 1.1283791670955126 y) (exp z)) x)
0.0b
(+ x (/ 1 (- (* (/ 1.1283791670955126 y) (exp z)) x)))
0.0b
(* (/ 1.1283791670955126 y) (exp z))
0.1b
(/ 1 (- (* (/ 1.1283791670955126 y) (exp z)) x))

rewrite39.0ms (1.9%)

Algorithm
1×rewrite-expression-head
Rules
25×add-sqr-sqrt
23×*-un-lft-identity
20×add-cube-cbrt
19×times-frac
13×associate-*l*
11×add-exp-log add-cbrt-cube
8×add-log-exp
7×pow1
3×div-exp associate-*r* associate-/r* div-inv associate-/l*
2×cbrt-undiv flip3-- prod-exp associate-/r/ flip-- cbrt-unprod distribute-lft-out unswap-sqr
1×+-commutative sub-neg rec-exp pow-flip frac-2neg flip3-+ diff-log 1-exp pow-prod-down associate-*l/ clear-num sum-log *-commutative flip-+ inv-pow
Counts
4 → 89
Calls

4 calls:

12.0ms
(+ x (/ 1 (- (* (/ 1.1283791670955126 y) (exp z)) x)))
10.0ms
(/ 1 (- (* (/ 1.1283791670955126 y) (exp z)) x))
7.0ms
(* (/ 1.1283791670955126 y) (exp z))
6.0ms
(- (* (/ 1.1283791670955126 y) (exp z)) x)

series48.0ms (2.3%)

Counts
4 → 12
Calls

4 calls:

20.0ms
(/ 1 (- (* (/ 1.1283791670955126 y) (exp z)) x))
11.0ms
(+ x (/ 1 (- (* (/ 1.1283791670955126 y) (exp z)) x)))
10.0ms
(- (* (/ 1.1283791670955126 y) (exp z)) x)
6.0ms
(* (/ 1.1283791670955126 y) (exp z))

simplify52.0ms (2.5%)

Algorithm
1×egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
049411176
149411176

prune142.0ms (6.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1010101
Fresh011
Picked011
Done011
Total1013104

Merged error: 0b

Counts
104 → 3

localize10.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b
(* 1.1283791670955126 (exp z))
0.1b
(/ 1 (- (* 1.1283791670955126 (exp z)) (* y x)))
1.2b
(- (* 1.1283791670955126 (exp z)) (* y x))
10.0b
(* y (/ 1 (- (* 1.1283791670955126 (exp z)) (* y x))))

rewrite30.0ms (1.5%)

Algorithm
1×rewrite-expression-head
Rules
31×add-sqr-sqrt
23×*-un-lft-identity
22×add-cube-cbrt
20×times-frac
18×add-exp-log associate-*r*
13×add-cbrt-cube
9×pow1
6×associate-*l* add-log-exp
5×prod-exp
4×div-exp associate-/r/ unswap-sqr
3×flip3-- associate-/r* flip-- cbrt-unprod associate-/l*
2×cbrt-undiv rec-exp 1-exp pow-prod-down *-commutative div-inv
1×sub-neg pow-flip frac-2neg diff-log associate-*r/ clear-num un-div-inv inv-pow
Counts
4 → 100
Calls

4 calls:

11.0ms
(* y (/ 1 (- (* 1.1283791670955126 (exp z)) (* y x))))
7.0ms
(/ 1 (- (* 1.1283791670955126 (exp z)) (* y x)))
5.0ms
(* 1.1283791670955126 (exp z))
5.0ms
(- (* 1.1283791670955126 (exp z)) (* y x))

series57.0ms (2.8%)

Counts
4 → 12
Calls

4 calls:

26.0ms
(* y (/ 1 (- (* 1.1283791670955126 (exp z)) (* y x))))
17.0ms
(/ 1 (- (* 1.1283791670955126 (exp z)) (* y x)))
12.0ms
(- (* 1.1283791670955126 (exp z)) (* y x))
2.0ms
(* 1.1283791670955126 (exp z))

simplify84.0ms (4.1%)

Algorithm
1×egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 0 (73.0ms)

IterNodesCost
049291293
149291293

prune159.0ms (7.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1120112
Fresh000
Picked011
Done022
Total1123115

Merged error: 0b

Counts
115 → 3

regimes305.0ms (14.8%)

Accuracy

Total 0.0b remaining (76%)

Threshold costs 0.0b (76%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02312
12312

end0.0ms (0%)

sample482.0ms (23.4%)

Algorithm
1×intervals
Results
319.0ms8000×body80valid

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