Details

Time bar (total: 2.8s)

sample35.0ms

Algorithm
intervals
Results
13.0ms255×body80nan
11.0ms256×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
09314
19314

prune7.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 2

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 1.0 (* 4.0 (sqrt x)))
0.0b
(+ x (+ 1.0 (* 4.0 (sqrt x))))
0.0b
(* 6.0 (/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x))))))
0.0b
(/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x)))))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
68×*-un-lft-identity
49×add-sqr-sqrt
41×times-frac
26×add-cube-cbrt associate-*r*
12×distribute-lft-out
11×add-exp-log add-cbrt-cube add-log-exp
9×distribute-lft-out-- difference-of-squares
6×pow1
5×associate-/l*
4×flip3-+ associate-/r* sum-log associate-/r/ flip-+
3×associate-*l*
2×cbrt-undiv +-commutative div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×associate-+r+ flip3-- frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative flip--
Counts
4 → 116
Calls
4 calls:
3.0ms
(+ 1.0 (* 4.0 (sqrt x)))
4.0ms
(+ x (+ 1.0 (* 4.0 (sqrt x))))
13.0ms
(* 6.0 (/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x))))))
8.0ms
(/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x)))))

series25.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(+ 1.0 (* 4.0 (sqrt x)))
4.0ms
(+ x (+ 1.0 (* 4.0 (sqrt x))))
8.0ms
(* 6.0 (/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x))))))
10.0ms
(/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x)))))

simplify48.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
055242112

prune186.0ms

Filtered
94 candidates to 128 candidates (-36.2%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1235128
Fresh101
Picked101
Done000
Total1255130

Merged error: 0b

Counts
130 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(log (pow (exp (/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x)))))) 6.0))
0.0b
(exp (/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x))))))
0.0b
(/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x)))))
1.3b
(pow (exp (/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x)))))) 6.0)

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
97×*-un-lft-identity
65×add-sqr-sqrt
60×times-frac
52×exp-prod
39×add-cube-cbrt
27×pow-pow
16×distribute-lft-out
13×distribute-lft-out-- difference-of-squares
7×add-exp-log log-prod
6×unpow-prod-down associate-/r/ add-cbrt-cube
5×pow1 associate-/l* add-log-exp
4×associate-/r*
3×pow-unpow flip3-+ rem-log-exp flip-+ div-inv
2×pow-to-exp div-sub pow-exp associate-/l/ sqr-pow
1×cbrt-undiv flip3-- frac-2neg exp-diff div-exp clear-num log-pow flip-- rem-exp-log
Counts
4 → 142
Calls
4 calls:
9.0ms
(log (pow (exp (/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x)))))) 6.0))
9.0ms
(exp (/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x))))))
8.0ms
(/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x)))))
12.0ms
(pow (exp (/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x)))))) 6.0)

series49.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(log (pow (exp (/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x)))))) 6.0))
9.0ms
(exp (/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x))))))
7.0ms
(/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x)))))
17.0ms
(pow (exp (/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x)))))) 6.0)

simplify39.0ms

Algorithm
egg-herbie
Counts
154 → 154
Iterations

Useful iterations: 0 (23.0ms)

IterNodesCost
050733007

prune296.0ms

Filtered
111 candidates to 154 candidates (-38.7%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New1531154
Fresh134
Picked101
Done000
Total1554159

Merged error: 0b

Counts
159 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(log (pow (pow E (/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x)))))) 6.0))
0.0b
(/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x)))))
0.0b
(pow E (/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x))))))
1.3b
(pow (pow E (/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x)))))) 6.0)

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
72×*-un-lft-identity
50×add-sqr-sqrt
40×times-frac
32×add-cube-cbrt
29×pow-unpow
23×unpow-prod-down
14×pow-exp
12×add-exp-log
11×log-prod distribute-lft-out
9×distribute-lft-out-- difference-of-squares
6×rem-log-exp add-cbrt-cube
5×pow1 pow-to-exp associate-/l* sqr-pow
4×associate-/r* associate-/r/ add-log-exp
3×e-exp-1
2×pow-pow flip3-+ div-sub flip-+ div-inv associate-/l/
1×cbrt-undiv flip3-- frac-2neg div-exp clear-num log-pow flip-- pow-sub
Counts
4 → 137
Calls
4 calls:
4.0ms
(log (pow (pow E (/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x)))))) 6.0))
8.0ms
(/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x)))))
9.0ms
(pow E (/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x))))))
4.0ms
(pow (pow E (/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x)))))) 6.0)

series56.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(log (pow (pow E (/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x)))))) 6.0))
7.0ms
(/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x)))))
14.0ms
(pow E (/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x))))))
16.0ms
(pow (pow E (/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x)))))) 6.0)

simplify40.0ms

Algorithm
egg-herbie
Counts
149 → 149
Iterations

Useful iterations: 0 (24.0ms)

IterNodesCost
051063093

prune267.0ms

Filtered
104 candidates to 149 candidates (-43.3%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1490149
Fresh033
Picked011
Done000
Total1494153

Merged error: 0b

Counts
153 → 4

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ x (+ 1.0 (* 4.0 (sqrt x)))))
0.1b
(/ 6.0 (sqrt (+ x (+ 1.0 (* 4.0 (sqrt x))))))
0.1b
(* (/ 6.0 (sqrt (+ x (+ 1.0 (* 4.0 (sqrt x)))))) (/ (- x 1.0) (sqrt (+ x (+ 1.0 (* 4.0 (sqrt x)))))))
0.3b
(/ (- x 1.0) (sqrt (+ x (+ 1.0 (* 4.0 (sqrt x))))))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
141×*-un-lft-identity
134×add-sqr-sqrt
124×times-frac
82×sqrt-prod
73×add-cube-cbrt
41×associate-*r*
27×associate-*l*
20×add-exp-log add-cbrt-cube
19×distribute-lft-out
15×distribute-lft-out-- difference-of-squares
14×associate-/r*
10×sqrt-div
9×unswap-sqr
8×associate-/r/ associate-/l*
7×pow1
6×cbrt-undiv div-exp
5×flip3-+ flip-+
4×prod-exp cbrt-unprod div-inv add-log-exp
2×frac-2neg clear-num associate-/l/
1×frac-times rem-sqrt-square flip3-- sqrt-pow1 pow1/2 div-sub associate-*r/ pow-prod-down associate-*l/ *-commutative flip--
Counts
4 → 222
Calls
4 calls:
4.0ms
(sqrt (+ x (+ 1.0 (* 4.0 (sqrt x)))))
7.0ms
(/ 6.0 (sqrt (+ x (+ 1.0 (* 4.0 (sqrt x))))))
37.0ms
(* (/ 6.0 (sqrt (+ x (+ 1.0 (* 4.0 (sqrt x)))))) (/ (- x 1.0) (sqrt (+ x (+ 1.0 (* 4.0 (sqrt x)))))))
9.0ms
(/ (- x 1.0) (sqrt (+ x (+ 1.0 (* 4.0 (sqrt x))))))

series47.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(sqrt (+ x (+ 1.0 (* 4.0 (sqrt x)))))
16.0ms
(/ 6.0 (sqrt (+ x (+ 1.0 (* 4.0 (sqrt x))))))
8.0ms
(* (/ 6.0 (sqrt (+ x (+ 1.0 (* 4.0 (sqrt x)))))) (/ (- x 1.0) (sqrt (+ x (+ 1.0 (* 4.0 (sqrt x)))))))
15.0ms
(/ (- x 1.0) (sqrt (+ x (+ 1.0 (* 4.0 (sqrt x))))))

simplify57.0ms

Algorithm
egg-herbie
Counts
234 → 234
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
053915531

prune439.0ms

Filtered
144 candidates to 234 candidates (-62.5%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New2340234
Fresh022
Picked011
Done011
Total2344238

Merged error: 0b

Counts
238 → 4

regimes91.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02117
12117

end0.0ms

sample899.0ms

Algorithm
intervals
Results
335.0ms8000×body80valid
308.0ms8049×body80nan

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