Details

Time bar (total: 1.6s)

analyze3.0ms

Algorithm
search

sample20.0ms

Algorithm
intervals
Results
15.0ms256×body80valid

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0217
1397
2617
3807
41057
51147
61147

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
10×add-exp-log add-cbrt-cube
9×*-un-lft-identity
8×add-log-exp
7×add-cube-cbrt
5×pow1 associate-*r*
4×associate-*r/
3×times-frac associate-*l* associate-/r* sum-log
2×cbrt-undiv distribute-rgt-in sub-neg flip3-- distribute-lft-in flip3-+ div-exp prod-exp associate-/r/ flip-- cbrt-unprod flip-+ associate-/l/
1×+-commutative associate-+l+ frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 64
Calls
3 calls:
5.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
6.0ms
(* 6.0 (- x 1.0))
10.0ms
(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

series15.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
3.0ms
(* 6.0 (- x 1.0))
8.0ms
(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

simplify53.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0492549
12177479
25002478

prune121.0ms

Filtered
55 candidates to 73 candidates (-32.7%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New69473
Fresh000
Picked101
Done000
Total70474

Merged error: 0b

Counts
74 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

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))))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
37×*-un-lft-identity
31×times-frac
23×add-cube-cbrt
21×associate-*r*
10×add-exp-log add-cbrt-cube
8×add-log-exp
7×distribute-lft-out-- difference-of-squares
5×pow1 associate-/l*
4×associate-/r/
3×flip3-+ associate-*l* associate-/r* sum-log flip-+
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative associate-+l+ flip3-- frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative flip--
Counts
3 → 93
Calls
3 calls:
6.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
13.0ms
(* 6.0 (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))))
9.0ms
(/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))

series20.0ms

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

simplify67.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
06341087
126751000
25001998

prune157.0ms

Filtered
80 candidates to 102 candidates (-27.5%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1020102
Fresh033
Picked011
Done000
Total1024106

Merged error: 0b

Counts
106 → 4

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
12×*-un-lft-identity
10×add-sqr-sqrt
9×add-exp-log add-cbrt-cube
6×add-cube-cbrt
5×associate-*r*
4×pow1 times-frac associate-*r/ associate-/r*
3×associate-*l*
2×cbrt-undiv distribute-rgt-in sub-neg flip3-- distribute-lft-in div-exp prod-exp associate-/r/ flip-- cbrt-unprod associate-/l/ distribute-lft-out add-log-exp
1×frac-2neg flip3-+ pow-prod-down clear-num *-commutative flip-+ div-inv associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 53
Calls
2 calls:
6.0ms
(* 6.0 (- x 1.0))
10.0ms
(/ (* 6.0 (- x 1.0)) (+ x (+ 1.0 (* 4.0 (sqrt x)))))

series12.0ms

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

simplify50.0ms

Algorithm
egg-herbie
Counts
59 → 59
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0405441
11872384
25001384

prune74.0ms

Filtered
41 candidates to 59 candidates (-43.9%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New59059
Fresh022
Picked011
Done011
Total59463

Merged error: 0b

Counts
63 → 4

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (+ x 1.0) (* 4.0 (sqrt x)))
0.1b
(* (* (/ (- x 1.0) (+ (* (neg (* 4.0 4.0)) x) (* (+ x 1.0) (+ x 1.0)))) 6.0) (- (+ x 1.0) (* 4.0 (sqrt x))))
0.2b
(* (/ (- x 1.0) (+ (* (neg (* 4.0 4.0)) x) (* (+ x 1.0) (+ x 1.0)))) 6.0)
16.2b
(/ (- x 1.0) (+ (* (neg (* 4.0 4.0)) x) (* (+ x 1.0) (+ x 1.0))))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
39×*-un-lft-identity
31×times-frac
25×add-cube-cbrt
22×associate-*l*
20×add-exp-log add-cbrt-cube
11×pow1
9×add-log-exp
7×prod-exp cbrt-unprod distribute-lft-out-- difference-of-squares
6×associate-*r*
5×associate-*l/ associate-/l*
4×flip3-- pow-prod-down associate-/r/ flip--
3×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in div-exp associate--l+ associate-/r*
2×frac-times flip3-+ diff-log associate-*r/ *-commutative flip-+ div-inv associate-/l/ unswap-sqr
1×frac-2neg div-sub clear-num sum-log
Counts
4 → 125
Calls
4 calls:
5.0ms
(- (+ x 1.0) (* 4.0 (sqrt x)))
16.0ms
(* (* (/ (- x 1.0) (+ (* (neg (* 4.0 4.0)) x) (* (+ x 1.0) (+ x 1.0)))) 6.0) (- (+ x 1.0) (* 4.0 (sqrt x))))
12.0ms
(* (/ (- x 1.0) (+ (* (neg (* 4.0 4.0)) x) (* (+ x 1.0) (+ x 1.0)))) 6.0)
8.0ms
(/ (- x 1.0) (+ (* (neg (* 4.0 4.0)) x) (* (+ x 1.0) (+ x 1.0))))

series24.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(- (+ x 1.0) (* 4.0 (sqrt x)))
11.0ms
(* (* (/ (- x 1.0) (+ (* (neg (* 4.0 4.0)) x) (* (+ x 1.0) (+ x 1.0)))) 6.0) (- (+ x 1.0) (* 4.0 (sqrt x))))
5.0ms
(* (/ (- x 1.0) (+ (* (neg (* 4.0 4.0)) x) (* (+ x 1.0) (+ x 1.0)))) 6.0)
5.0ms
(/ (- x 1.0) (+ (* (neg (* 4.0 4.0)) x) (* (+ x 1.0) (+ x 1.0))))

simplify104.0ms

Algorithm
egg-herbie
Counts
137 → 137
Iterations

Useful iterations: 2 (83.0ms)

IterNodesCost
07852071
135521824
250011812

prune252.0ms

Filtered
102 candidates to 137 candidates (-34.3%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1370137
Fresh011
Picked011
Done022
Total1374141

Merged error: 0b

Counts
141 → 4

regimes50.0ms

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
0157
1157

end0.0ms

analyze3.0ms

Algorithm
search

sample409.0ms

Algorithm
intervals
Results
318.0ms8000×body80valid
0.0ms2×body80nan

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