Details

Time bar (total: 3.4s)

sample33.0ms

Algorithm
intervals
Results
11.0ms256×body80valid
10.0ms249×body80nan

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
09314
19314

prune8.0ms

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

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
64×*-un-lft-identity
47×add-sqr-sqrt
41×times-frac
26×associate-*r*
24×add-cube-cbrt
11×distribute-lft-out
9×add-exp-log add-cbrt-cube distribute-lft-out-- difference-of-squares
5×associate-/l*
4×pow1 associate-/r* associate-/r/
3×associate-*l*
2×cbrt-undiv flip3-+ div-exp prod-exp cbrt-unprod flip-+ div-inv associate-/l/ add-log-exp unswap-sqr
1×flip3-- frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative flip--
Counts
2 → 91
Calls
2 calls:
9.0ms
(/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x)))))
15.0ms
(* 6.0 (/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x))))))

series17.0ms

Counts
2 → 6
Calls
2 calls:
8.0ms
(/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x)))))
9.0ms
(* 6.0 (/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x))))))

simplify26.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 0 (16.0ms)

IterNodesCost
051421761

prune153.0ms

Filtered
66 candidates to 97 candidates (-47.0%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New93497
Fresh101
Picked011
Done000
Total94599

Merged error: 0b

Counts
99 → 5

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
94×*-un-lft-identity
62×add-sqr-sqrt
60×times-frac
52×exp-prod
36×add-cube-cbrt
27×pow-pow
16×distribute-lft-out
13×distribute-lft-out-- difference-of-squares
6×associate-/r/
5×add-exp-log add-cbrt-cube associate-/l*
4×pow1 associate-/r* add-log-exp
3×unpow-prod-down pow-unpow flip3-+ flip-+ div-inv
2×div-sub associate-/l/
1×cbrt-undiv pow-to-exp flip3-- frac-2neg exp-diff div-exp pow-exp clear-num flip-- rem-exp-log sqr-pow
Counts
3 → 124
Calls
3 calls:
10.0ms
(/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x)))))
10.0ms
(exp (/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x))))))
13.0ms
(pow (exp (/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x)))))) 6.0)

series37.0ms

Counts
3 → 9
Calls
3 calls:
8.0ms
(/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x)))))
10.0ms
(exp (/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x))))))
19.0ms
(pow (exp (/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x)))))) 6.0)

simplify34.0ms

Algorithm
egg-herbie
Counts
133 → 133
Iterations

Useful iterations: 0 (19.0ms)

IterNodesCost
055272492

prune291.0ms

Filtered
94 candidates to 133 candidates (-41.5%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1321133
Fresh123
Picked101
Done011
Total1344138

Merged error: 0b

Counts
138 → 4

localize13.0ms

Local error

Found 3 expressions with local error:

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
68×*-un-lft-identity
46×add-sqr-sqrt
40×times-frac
29×pow-unpow
28×add-cube-cbrt
13×unpow-prod-down
11×distribute-lft-out
9×distribute-lft-out-- difference-of-squares
8×add-exp-log pow-exp
5×add-cbrt-cube associate-/l*
4×pow1 associate-/r* associate-/r/
3×pow-to-exp add-log-exp sqr-pow
2×e-exp-1 pow-pow flip3-+ div-sub flip-+ div-inv associate-/l/
1×cbrt-undiv flip3-- frac-2neg div-exp clear-num flip-- pow-sub
Counts
3 → 112
Calls
3 calls:
10.0ms
(/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x)))))
10.0ms
(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)

series42.0ms

Counts
3 → 9
Calls
3 calls:
11.0ms
(/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x)))))
13.0ms
(pow E (/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x))))))
19.0ms
(pow (pow E (/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x)))))) 6.0)

simplify49.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
049882506
149882506

prune248.0ms

Filtered
85 candidates to 121 candidates (-42.4%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1210121
Fresh022
Picked011
Done011
Total1214125

Merged error: 0b

Counts
125 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (cbrt (/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x)))))) (cbrt (/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x)))))))
0.1b
(cbrt (/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x))))))
0.1b
(cbrt (/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x))))))
0.1b
(cbrt (/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x))))))

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
306×*-un-lft-identity
238×cbrt-prod
190×times-frac
174×add-sqr-sqrt
86×add-cube-cbrt
53×distribute-lft-out
51×swap-sqr
44×distribute-lft-out--
32×difference-of-squares
29×associate-*r* associate-*l*
14×associate-/r/
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div flip3-+ flip-+ div-inv
6×add-exp-log
4×add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 244
Calls
4 calls:
39.0ms
(* (cbrt (/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x)))))) (cbrt (/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x)))))))
9.0ms
(cbrt (/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x))))))
9.0ms
(cbrt (/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x))))))
8.0ms
(cbrt (/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x))))))

series94.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* (cbrt (/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x)))))) (cbrt (/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x)))))))
22.0ms
(cbrt (/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x))))))
26.0ms
(cbrt (/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x))))))
22.0ms
(cbrt (/ (- x 1.0) (+ x (+ 1.0 (* 4.0 (sqrt x))))))

simplify70.0ms

Algorithm
egg-herbie
Counts
256 → 256
Iterations

Useful iterations: 0 (26.0ms)

IterNodesCost
054087578

prune1.0s

Filtered
156 candidates to 256 candidates (-64.1%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New2560256
Fresh011
Picked011
Done022
Total2564260

Merged error: 0b

Counts
260 → 4

regimes37.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01514
11514

end0.0ms

sample948.0ms

Algorithm
intervals
Results
341.0ms8000×body80valid
326.0ms8058×body80nan

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