Details

Time bar (total: 4.8s)

sample29.0ms

Algorithm
intervals
Results
9.0ms296×body80nan
8.0ms256×body80valid

simplify29.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0217
1416
2696
3956
41256
51406
61426
71426

prune12.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
128×times-frac
95×add-sqr-sqrt *-un-lft-identity
67×add-cube-cbrt
16×associate-/r*
14×distribute-lft-out-- difference-of-squares
10×add-exp-log add-cbrt-cube
8×div-inv associate-/l*
4×cbrt-undiv div-exp
3×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
2×frac-2neg clear-num associate-/l/
1×flip3-- div-sub associate-/r/ flip-- fma-udef
Counts
3 → 142
Calls
3 calls:
0.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
12.0ms
(/ (- x 1.0) (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))
2.0ms
(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)

series181.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
85.0ms
(/ (- x 1.0) (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))
56.0ms
(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)

simplify86.0ms

Algorithm
egg-herbie
Counts
151 → 151
Iterations

Useful iterations: 1 (20.0ms)

IterNodesCost
06271691
123791609
250021609

prune377.0ms

Filtered
151 candidates to 117 candidates (77.5%)
Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize12.0ms

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))))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt *-un-lft-identity
20×add-cube-cbrt
18×prod-diff
11×distribute-rgt-in distribute-lft-in
10×add-exp-log add-cbrt-cube
8×add-log-exp
5×pow1 associate-*r*
4×fma-def associate-*r/
3×expm1-log1p-u times-frac associate-*l* associate-/r* sum-log log1p-expm1-u
2×cbrt-undiv sub-neg flip3-- 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 distribute-lft-out associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 92
Calls
3 calls:
15.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
12.0ms
(* 6.0 (- x 1.0))
26.0ms
(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

series168.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
45.0ms
(* 6.0 (- x 1.0))
85.0ms
(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

simplify75.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
0466778
12126572
25002560

prune200.0ms

Filtered
101 candidates to 64 candidates (63.4%)
Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite118.0ms

Algorithm
rewrite-expression-head
Rules
120×times-frac
75×add-sqr-sqrt
72×*-un-lft-identity
70×add-cube-cbrt
69×sqrt-prod
20×add-exp-log sqrt-div add-cbrt-cube
18×prod-diff associate-/r/
13×associate-/l*
12×associate-/r*
11×distribute-rgt-in distribute-lft-in
10×flip3-+ flip-+
9×div-inv
7×pow1 cbrt-undiv div-exp
5×associate-*r*
4×expm1-log1p-u associate-*r/ log1p-expm1-u add-log-exp
3×associate-*l* prod-exp cbrt-unprod associate-/l/
2×sub-neg flip3-- frac-2neg clear-num flip--
1×rem-sqrt-square sqrt-pow1 pow1/2 pow-prod-down *-commutative distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 207
Calls
4 calls:
17.0ms
(sqrt (+ (+ x 1.0) (* 4.0 (sqrt x))))
11.0ms
(* 6.0 (- x 1.0))
26.0ms
(/ (* 6.0 (- x 1.0)) (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))))
52.0ms
(/ (/ (* 6.0 (- x 1.0)) (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x))))) (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))))

series373.0ms

Counts
4 → 12
Calls
4 calls:
78.0ms
(sqrt (+ (+ x 1.0) (* 4.0 (sqrt x))))
47.0ms
(* 6.0 (- x 1.0))
164.0ms
(/ (* 6.0 (- x 1.0)) (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))))
83.0ms
(/ (/ (* 6.0 (- x 1.0)) (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x))))) (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))))

simplify135.0ms

Algorithm
egg-herbie
Counts
219 → 219
Iterations

Useful iterations: 2 (103.0ms)

IterNodesCost
08223616
137613103
250033099

prune486.0ms

Filtered
219 candidates to 127 candidates (58.0%)
Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (* 4.0 (sqrt x)) (* 4.0 (sqrt x)))
5.7b
(/ (* 6.0 (- x 1.0)) (+ (pow (+ x 1.0) 3) (pow (* 4.0 (sqrt x)) 3)))
8.8b
(+ (* (+ x 1.0) (+ x 1.0)) (- (* (* 4.0 (sqrt x)) (* 4.0 (sqrt x))) (* (+ x 1.0) (* 4.0 (sqrt x)))))
15.7b
(* (/ (* 6.0 (- x 1.0)) (+ (pow (+ x 1.0) 3) (pow (* 4.0 (sqrt x)) 3))) (+ (* (+ x 1.0) (+ x 1.0)) (- (* (* 4.0 (sqrt x)) (* 4.0 (sqrt x))) (* (+ x 1.0) (* 4.0 (sqrt x))))))

rewrite439.0ms

Algorithm
rewrite-expression-head
Rules
48×frac-add
45×pow1
42×frac-times
41×flip3-+ flip-+
32×associate-*r/
30×add-exp-log add-cbrt-cube
25×flip3-- flip--
18×pow-prod-down
15×*-un-lft-identity
13×associate-*l/ prod-exp cbrt-unprod
12×associate-*l*
11×add-sqr-sqrt
10×times-frac
9×add-cube-cbrt add-log-exp
5×associate-/r*
4×cbrt-undiv expm1-log1p-u div-exp associate-*r* associate-/r/ pow-sqr pow-prod-up log1p-expm1-u
3×associate-+r+ sum-cubes distribute-lft-out
2×distribute-rgt-in associate-+l+ distribute-lft-in pow-plus sum-log *-commutative div-inv associate-/l/
1×+-commutative pow2 associate-+r- sub-neg fma-def frac-2neg diff-log swap-sqr prod-diff clear-num associate-/l* unswap-sqr
Counts
4 → 175
Calls
4 calls:
15.0ms
(* (* 4.0 (sqrt x)) (* 4.0 (sqrt x)))
57.0ms
(/ (* 6.0 (- x 1.0)) (+ (pow (+ x 1.0) 3) (pow (* 4.0 (sqrt x)) 3)))
51.0ms
(+ (* (+ x 1.0) (+ x 1.0)) (- (* (* 4.0 (sqrt x)) (* 4.0 (sqrt x))) (* (+ x 1.0) (* 4.0 (sqrt x)))))
306.0ms
(* (/ (* 6.0 (- x 1.0)) (+ (pow (+ x 1.0) 3) (pow (* 4.0 (sqrt x)) 3))) (+ (* (+ x 1.0) (+ x 1.0)) (- (* (* 4.0 (sqrt x)) (* 4.0 (sqrt x))) (* (+ x 1.0) (* 4.0 (sqrt x))))))

series402.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(* (* 4.0 (sqrt x)) (* 4.0 (sqrt x)))
94.0ms
(/ (* 6.0 (- x 1.0)) (+ (pow (+ x 1.0) 3) (pow (* 4.0 (sqrt x)) 3)))
83.0ms
(+ (* (+ x 1.0) (+ x 1.0)) (- (* (* 4.0 (sqrt x)) (* 4.0 (sqrt x))) (* (+ x 1.0) (* 4.0 (sqrt x)))))
196.0ms
(* (/ (* 6.0 (- x 1.0)) (+ (pow (+ x 1.0) 3) (pow (* 4.0 (sqrt x)) 3))) (+ (* (+ x 1.0) (+ x 1.0)) (- (* (* 4.0 (sqrt x)) (* 4.0 (sqrt x))) (* (+ x 1.0) (* 4.0 (sqrt x))))))

simplify109.0ms

Algorithm
egg-herbie
Counts
187 → 187
Iterations

Useful iterations: 1 (51.0ms)

IterNodesCost
015855359
150024799

prune762.0ms

Filtered
187 candidates to 130 candidates (69.5%)
Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes17.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0116
1116

end0.0ms

sample668.0ms

Algorithm
intervals
Results
245.0ms8000×body80valid
223.0ms7974×body80nan