Details

Time bar (total: 2.4s)

sample31.0ms

Algorithm
intervals
Results
11.0ms256×body80valid
9.0ms248×body80nan

simplify12.0ms

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 (100.0%)
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
(* 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))))

rewrite26.0ms

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))
8.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
11.0ms
(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

series16.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(* 6.0 (- x 1.0))
4.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
9.0ms
(/ (* 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

prune110.0ms

Filtered
73 candidates to 55 candidates (24.7%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New70373
Fresh000
Picked011
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))) (- x 1.0))
0.0b
(+ (+ x 1.0) (* 4.0 (sqrt x)))
0.0b
(/ 6.0 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0)))

rewrite35.0ms

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:
10.0ms
(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0))
7.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
11.0ms
(/ 6.0 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0)))

series18.0ms

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

simplify90.0ms

Algorithm
egg-herbie
Counts
163 → 163
Iterations

Useful iterations: 1 (18.0ms)

IterNodesCost
08222172
137672075
250012075

prune294.0ms

Filtered
163 candidates to 129 candidates (20.9%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1630163
Fresh022
Picked011
Done011
Total1634167

Merged error: 0b

Counts
167 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
20×add-exp-log add-cbrt-cube
19×add-sqr-sqrt
18×associate-*r/
17×*-un-lft-identity
14×associate-*r*
11×pow1
9×add-cube-cbrt flip3-+ flip-+ add-log-exp
8×frac-times sqrt-prod associate-/l/
7×prod-exp cbrt-unprod
6×flip3-- flip--
4×associate-*l* pow-prod-down associate-*l/ difference-of-squares
3×cbrt-undiv distribute-rgt-in distribute-lft-in times-frac div-exp associate-/r* sum-log
2×sub-neg associate-/r/ *-commutative distribute-lft-out distribute-lft-out--
1×+-commutative associate-+l+ frac-2neg clear-num div-inv associate-/l* unswap-sqr
Counts
4 → 106
Calls
4 calls:
5.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
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)))
16.0ms
(* (* 6.0 (+ (sqrt x) (sqrt 1.0))) (- (sqrt x) (sqrt 1.0)))

series59.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
37.0ms
(/ (* (* 6.0 (+ (sqrt x) (sqrt 1.0))) (- (sqrt x) (sqrt 1.0))) (+ (+ x 1.0) (* 4.0 (sqrt x))))
5.0ms
(* 6.0 (+ (sqrt x) (sqrt 1.0)))
13.0ms
(* (* 6.0 (+ (sqrt x) (sqrt 1.0))) (- (sqrt x) (sqrt 1.0)))

simplify38.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 1 (24.0ms)

IterNodesCost
09911507
150011205

prune232.0ms

Filtered
118 candidates to 90 candidates (23.7%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1180118
Fresh011
Picked011
Done022
Total1184122

Merged error: 0b

Counts
122 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (neg (* 4.0 4.0)) x) (* (+ x 1.0) (+ x 1.0)))
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)
13.9b
(/ (- x 1.0) (+ (* (neg (* 4.0 4.0)) x) (* (+ x 1.0) (+ x 1.0))))

rewrite45.0ms

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
7×prod-exp cbrt-unprod distribute-lft-out-- difference-of-squares
6×associate-*r* add-log-exp
5×associate-*l/ associate-/l*
4×distribute-rgt-in distribute-lft-in pow-prod-down associate-/r/
3×cbrt-undiv flip3-- flip3-+ div-exp associate-/r* flip-- flip-+
2×frac-times sub-neg associate-+r+ associate-*r/ associate--l+ *-commutative div-inv associate-/l/ unswap-sqr
1×+-commutative frac-2neg div-sub clear-num sum-log
Counts
4 → 124
Calls
4 calls:
4.0ms
(+ (* (neg (* 4.0 4.0)) x) (* (+ x 1.0) (+ x 1.0)))
17.0ms
(* (* (/ (- x 1.0) (+ (* (neg (* 4.0 4.0)) x) (* (+ x 1.0) (+ x 1.0)))) 6.0) (- (+ x 1.0) (* 4.0 (sqrt x))))
11.0ms
(* (/ (- 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))))

series22.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(+ (* (neg (* 4.0 4.0)) x) (* (+ x 1.0) (+ x 1.0)))
10.0ms
(* (* (/ (- x 1.0) (+ (* (neg (* 4.0 4.0)) x) (* (+ x 1.0) (+ x 1.0)))) 6.0) (- (+ x 1.0) (* 4.0 (sqrt x))))
4.0ms
(* (/ (- x 1.0) (+ (* (neg (* 4.0 4.0)) x) (* (+ x 1.0) (+ x 1.0)))) 6.0)
4.0ms
(/ (- x 1.0) (+ (* (neg (* 4.0 4.0)) x) (* (+ x 1.0) (+ x 1.0))))

simplify98.0ms

Algorithm
egg-herbie
Counts
136 → 136
Iterations

Useful iterations: 2 (79.0ms)

IterNodesCost
07532109
134281853
250011834

prune261.0ms

Filtered
136 candidates to 101 candidates (25.7%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1360136
Fresh000
Picked011
Done033
Total1364140

Merged error: 0b

Counts
140 → 4

regimes66.0ms

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
0147
1147

end0.0ms

sample828.0ms

Algorithm
intervals
Results
307.0ms8000×body80valid
283.0ms8177×body80nan

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