Details

Time bar (total: 3.5s)

sample26.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
7.0ms216×body80nan

simplify13.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0217
1397
2617
3807
41057
51147
61147

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite24.0ms

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:
6.0ms
(* 6.0 (- x 1.0))
5.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
11.0ms
(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

series157.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(* 6.0 (- x 1.0))
36.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
80.0ms
(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

simplify49.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0377495
11642421
25001420

prune141.0ms

Filtered
73 candidates to 53 candidates (72.6%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New68573
Fresh000
Picked101
Done000
Total69574

Merged error: 0b

Counts
74 → 5

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
103×add-sqr-sqrt *-un-lft-identity
71×add-cube-cbrt
26×associate-/r*
16×distribute-lft-out-- difference-of-squares
11×associate-/r/
10×add-exp-log add-cbrt-cube
8×add-log-exp
6×div-inv associate-/l*
5×flip3-- flip--
4×cbrt-undiv div-exp
3×pow1 sum-log
2×frac-2neg flip3-+ clear-num flip-+ associate-/l/
1×+-commutative associate-+l+
Counts
3 → 154
Calls
3 calls:
6.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
13.0ms
(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0))
11.0ms
(/ 6.0 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0)))

series190.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
73.0ms
(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0))
81.0ms
(/ 6.0 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0)))

simplify83.0ms

Algorithm
egg-herbie
Counts
163 → 163
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
06412084
129421986
250011984

prune311.0ms

Filtered
163 candidates to 126 candidates (77.3%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1630163
Fresh044
Picked011
Done000
Total1635168

Merged error: 0b

Counts
168 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (+ x 1.0) (* 4.0 (sqrt x)))
0.0b
(* 6.0 (- x 1.0))
0.0b
(/ 1 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (* 6.0 (- x 1.0))))
0.2b
(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (* 6.0 (- x 1.0)))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
42×times-frac
32×add-exp-log
30×add-sqr-sqrt
28×*-un-lft-identity
26×add-cube-cbrt
20×add-cbrt-cube
14×div-exp
12×associate-*r/
11×associate-/r/
10×associate-/r*
9×add-log-exp
7×pow1 cbrt-undiv
6×flip3-- flip-- div-inv associate-/l*
5×associate-*r* prod-exp
3×rec-exp 1-exp associate-*l* sum-log cbrt-unprod
2×distribute-rgt-in sub-neg frac-2neg distribute-lft-in flip3-+ clear-num flip-+ associate-/l/
1×+-commutative associate-+l+ pow-flip pow-prod-down *-commutative distribute-lft-out-- inv-pow difference-of-squares unswap-sqr
Counts
4 → 128
Calls
4 calls:
6.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
6.0ms
(* 6.0 (- x 1.0))
11.0ms
(/ 1 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (* 6.0 (- x 1.0))))
11.0ms
(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (* 6.0 (- x 1.0)))

series233.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
41.0ms
(* 6.0 (- x 1.0))
77.0ms
(/ 1 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (* 6.0 (- x 1.0))))
79.0ms
(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (* 6.0 (- x 1.0)))

simplify74.0ms

Algorithm
egg-herbie
Counts
140 → 140
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
05581339
126681170
250011122

prune187.0ms

Filtered
140 candidates to 83 candidates (59.3%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1400140
Fresh033
Picked011
Done011
Total1405145

Merged error: 0b

Counts
145 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
21×*-un-lft-identity
20×add-exp-log add-cbrt-cube
18×associate-*r/
14×associate-*r* sqrt-prod
11×pow1
9×add-cube-cbrt
8×frac-times flip3-+ flip-+ associate-/l/ difference-of-squares
7×flip3-- prod-exp flip-- cbrt-unprod
6×add-log-exp
4×associate-*l* pow-prod-down associate-*l/ distribute-lft-out--
3×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in times-frac div-exp associate-/r*
2×associate-/r/ *-commutative distribute-lft-out
1×frac-2neg diff-log clear-num div-inv associate-/l* unswap-sqr
Counts
4 → 111
Calls
4 calls:
6.0ms
(- (sqrt x) (sqrt 1.0))
19.0ms
(/ (* (* 6.0 (+ (sqrt x) (sqrt 1.0))) (- (sqrt x) (sqrt 1.0))) (+ (+ x 1.0) (* 4.0 (sqrt x))))
8.0ms
(* 6.0 (+ (sqrt x) (sqrt 1.0)))
15.0ms
(* (* 6.0 (+ (sqrt x) (sqrt 1.0))) (- (sqrt x) (sqrt 1.0)))

series756.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(- (sqrt x) (sqrt 1.0))
431.0ms
(/ (* (* 6.0 (+ (sqrt x) (sqrt 1.0))) (- (sqrt x) (sqrt 1.0))) (+ (+ x 1.0) (* 4.0 (sqrt x))))
60.0ms
(* 6.0 (+ (sqrt x) (sqrt 1.0)))
222.0ms
(* (* 6.0 (+ (sqrt x) (sqrt 1.0))) (- (sqrt x) (sqrt 1.0)))

simplify111.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 2 (92.0ms)

IterNodesCost
07691458
143241133
250011108

prune228.0ms

Filtered
123 candidates to 85 candidates (69.1%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1230123
Fresh022
Picked011
Done022
Total1235128

Merged error: 0b

Counts
128 → 5

regimes23.0ms

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
0147
1147

end0.0ms

sample756.0ms

Algorithm
intervals
Results
304.0ms8000×body80valid
272.0ms8123×body80nan