Details

Time bar (total: 9.0s)

sample23.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
6.0ms259×body80nan

simplify23.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0217
1416
2696
3956
41256
51406
61426
71426

prune6.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 2

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
128×times-frac
97×add-sqr-sqrt *-un-lft-identity
69×add-cube-cbrt
19×associate-/r*
14×distribute-lft-out-- difference-of-squares
11×associate-/l*
10×add-exp-log add-cbrt-cube
9×associate-/r/
8×div-inv
4×cbrt-undiv div-exp
3×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
2×associate-/l/
1×flip3-- div-sub flip-- fma-udef
Counts
3 → 150
Calls
3 calls:
1.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
3.0ms
(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)
11.0ms
(/ (- x 1.0) (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))

series195.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
51.0ms
(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)
97.0ms
(/ (- x 1.0) (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))

simplify97.0ms

Algorithm
egg-herbie
Counts
159 → 159
Iterations

Useful iterations: 1 (17.0ms)

IterNodesCost
06481737
124411655
250011655

prune309.0ms

Filtered
159 candidates to 123 candidates (77.4%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1563159
Fresh101
Picked101
Done000
Total1583161

Merged error: 0b

Counts
161 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite295.0ms

Algorithm
rewrite-expression-head
Rules
1246×add-sqr-sqrt
1154×*-un-lft-identity
1145×times-frac
965×sqrt-prod
703×add-cube-cbrt
633×associate-/r*
576×frac-times
372×associate-/l*
248×difference-of-squares
214×associate-*r*
125×distribute-lft-out--
112×associate-/l/
100×distribute-lft-out
60×clear-num
59×frac-2neg
41×div-inv
38×flip3-+ flip-+
36×associate-*r/
34×add-exp-log associate-*l* add-cbrt-cube
24×associate-/r/
18×flip3-- flip--
16×associate-*l/
14×cbrt-undiv div-exp
12×unswap-sqr
6×pow1 prod-exp cbrt-unprod
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×un-div-inv
1×div-sub pow-prod-down *-commutative
Counts
4 → 1272
Calls
4 calls:
145.0ms
(* (/ (+ (sqrt x) (sqrt 1.0)) (sqrt (fma (sqrt x) 4.0 (+ x 1.0)))) (/ (- (sqrt x) (sqrt 1.0)) (/ (sqrt (fma (sqrt x) 4.0 (+ x 1.0))) 6.0)))
8.0ms
(/ (+ (sqrt x) (sqrt 1.0)) (sqrt (fma (sqrt x) 4.0 (+ x 1.0))))
4.0ms
(/ (sqrt (fma (sqrt x) 4.0 (+ x 1.0))) 6.0)
22.0ms
(/ (- (sqrt x) (sqrt 1.0)) (/ (sqrt (fma (sqrt x) 4.0 (+ x 1.0))) 6.0))

series1.2s

Counts
4 → 12
Calls
4 calls:
501.0ms
(* (/ (+ (sqrt x) (sqrt 1.0)) (sqrt (fma (sqrt x) 4.0 (+ x 1.0)))) (/ (- (sqrt x) (sqrt 1.0)) (/ (sqrt (fma (sqrt x) 4.0 (+ x 1.0))) 6.0)))
278.0ms
(/ (+ (sqrt x) (sqrt 1.0)) (sqrt (fma (sqrt x) 4.0 (+ x 1.0))))
105.0ms
(/ (sqrt (fma (sqrt x) 4.0 (+ x 1.0))) 6.0)
355.0ms
(/ (- (sqrt x) (sqrt 1.0)) (/ (sqrt (fma (sqrt x) 4.0 (+ x 1.0))) 6.0))

simplify403.0ms

Algorithm
egg-herbie
Counts
1284 → 1284
Iterations

Useful iterations: 1 (133.0ms)

IterNodesCost
0425928963
1500128160

prune2.0s

Filtered
1284 candidates to 538 candidates (41.9%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New128401284
Fresh022
Picked011
Done000
Total128431287

Merged error: 0b

Counts
1287 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
55×add-sqr-sqrt
36×*-un-lft-identity
32×add-exp-log
31×associate-*l/
30×add-cube-cbrt
23×associate-*l*
22×times-frac
20×associate-*r* add-cbrt-cube
18×frac-times
13×prod-exp
12×pow1 associate-/r* associate-/l*
11×flip3-- flip-- unswap-sqr
7×cbrt-unprod
6×div-exp
4×expm1-log1p-u frac-2neg pow-prod-down clear-num log1p-expm1-u add-log-exp
3×cbrt-undiv rec-exp 1-exp *-commutative
2×associate-*r/ div-inv distribute-lft-out-- difference-of-squares
1×pow-flip fma-udef inv-pow
Counts
4 → 153
Calls
4 calls:
1.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
6.0ms
(* (- x 1.0) 6.0)
3.0ms
(/ 1 (fma (sqrt x) 4.0 (+ x 1.0)))
18.0ms
(* (/ 1 (fma (sqrt x) 4.0 (+ x 1.0))) (* (- x 1.0) 6.0))

series251.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(fma (sqrt x) 4.0 (+ x 1.0))
49.0ms
(* (- x 1.0) 6.0)
68.0ms
(/ 1 (fma (sqrt x) 4.0 (+ x 1.0)))
95.0ms
(* (/ 1 (fma (sqrt x) 4.0 (+ x 1.0))) (* (- x 1.0) 6.0))

simplify124.0ms

Algorithm
egg-herbie
Counts
165 → 165
Iterations

Useful iterations: 2 (101.0ms)

IterNodesCost
07131311
133221159
250011113

prune260.0ms

Filtered
165 candidates to 107 candidates (64.8%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1650165
Fresh011
Picked011
Done011
Total1653168

Merged error: 0b

Counts
168 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (- (sqrt x) (sqrt 1.0)) (/ (fma (sqrt x) 4.0 (+ x 1.0)) (sqrt 6.0)))
0.3b
(* (+ (sqrt x) (sqrt 1.0)) (sqrt 6.0))
0.6b
(* (* (+ (sqrt x) (sqrt 1.0)) (sqrt 6.0)) (/ (- (sqrt x) (sqrt 1.0)) (/ (fma (sqrt x) 4.0 (+ x 1.0)) (sqrt 6.0))))
0.8b
(/ (fma (sqrt x) 4.0 (+ x 1.0)) (sqrt 6.0))

rewrite202.0ms

Algorithm
rewrite-expression-head
Rules
825×times-frac
806×add-sqr-sqrt
570×*-un-lft-identity
523×sqrt-prod
367×add-cube-cbrt
226×associate-*r*
192×difference-of-squares
106×associate-/r*
97×distribute-lft-out--
78×associate-*l/
72×frac-times
47×associate-/l*
38×flip3-+ flip-+
36×associate-*r/
34×add-exp-log add-cbrt-cube
28×associate-*l*
25×div-inv
24×associate-/r/ unswap-sqr
11×pow1
10×cbrt-undiv div-exp prod-exp cbrt-unprod
8×clear-num associate-/l/
7×frac-2neg
4×expm1-log1p-u flip3-- pow-prod-down flip-- log1p-expm1-u distribute-lft-out add-log-exp
3×un-div-inv *-commutative
1×div-sub
Counts
4 → 710
Calls
4 calls:
20.0ms
(/ (- (sqrt x) (sqrt 1.0)) (/ (fma (sqrt x) 4.0 (+ x 1.0)) (sqrt 6.0)))
9.0ms
(* (+ (sqrt x) (sqrt 1.0)) (sqrt 6.0))
102.0ms
(* (* (+ (sqrt x) (sqrt 1.0)) (sqrt 6.0)) (/ (- (sqrt x) (sqrt 1.0)) (/ (fma (sqrt x) 4.0 (+ x 1.0)) (sqrt 6.0))))
6.0ms
(/ (fma (sqrt x) 4.0 (+ x 1.0)) (sqrt 6.0))

series1.3s

Counts
4 → 12
Calls
4 calls:
320.0ms
(/ (- (sqrt x) (sqrt 1.0)) (/ (fma (sqrt x) 4.0 (+ x 1.0)) (sqrt 6.0)))
94.0ms
(* (+ (sqrt x) (sqrt 1.0)) (sqrt 6.0))
800.0ms
(* (* (+ (sqrt x) (sqrt 1.0)) (sqrt 6.0)) (/ (- (sqrt x) (sqrt 1.0)) (/ (fma (sqrt x) 4.0 (+ x 1.0)) (sqrt 6.0))))
117.0ms
(/ (fma (sqrt x) 4.0 (+ x 1.0)) (sqrt 6.0))

simplify216.0ms

Algorithm
egg-herbie
Counts
722 → 722
Iterations

Useful iterations: 1 (73.0ms)

IterNodesCost
0246613619
1500213107

prune1.2s

Filtered
722 candidates to 325 candidates (45.0%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New7220722
Fresh000
Picked011
Done022
Total7223725

Merged error: 0b

Counts
725 → 3

regimes15.0ms

Accuracy

0% (0.1b 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
01818
11818

end0.0ms

sample633.0ms

Algorithm
intervals
Results
246.0ms8000×body80valid
206.0ms7818×body80nan