Details

Time bar (total: 3.4s)

sample31.0ms

Algorithm
intervals
Results
7.0ms276×body80nan
6.0ms49×body1280valid
4.0ms40×body640valid
4.0ms140×body80valid
1.0ms19×body320valid
0.0ms8×body160valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
094
1104
2104

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: 28.1b

Counts
2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(sqrt (+ x 1.0))
2.3b
(- (sqrt (+ x 1.0)) (sqrt x))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt *-un-lft-identity sqrt-prod
4×add-log-exp difference-of-squares
3×pow1 add-cube-cbrt distribute-lft-out--
2×add-exp-log sqrt-div add-cbrt-cube distribute-lft-out
1×sub-neg rem-sqrt-square flip3-- sqrt-pow1 flip3-+ pow1/2 diff-log flip-- flip-+
Counts
2 → 35
Calls
2 calls:
3.0ms
(sqrt (+ x 1.0))
10.0ms
(- (sqrt (+ x 1.0)) (sqrt x))

series107.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(sqrt (+ x 1.0))
75.0ms
(- (sqrt (+ x 1.0)) (sqrt x))

simplify57.0ms

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 3 (52.0ms)

IterNodesCost
0182265
1544243
22020233
35002230

prune72.0ms

Filtered
41 candidates to 28 candidates (68.3%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New38341
Fresh000
Picked011
Done000
Total38442

Merged error: 0.1b

Counts
42 → 4

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(sqrt (+ x 1.0))
0.0b
(+ (sqrt (+ x 1.0)) (sqrt x))
0.1b
(/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
52×*-un-lft-identity
24×sqrt-prod
21×distribute-lft-out
18×times-frac
16×add-sqr-sqrt
15×add-cube-cbrt
6×associate-/r*
5×add-exp-log add-cbrt-cube add-log-exp
4×pow1
3×flip3-+ flip-+ associate-/l*
2×sqrt-div associate-/r/
1×cbrt-undiv +-commutative rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 div-exp clear-num sum-log div-inv
Counts
3 → 71
Calls
3 calls:
3.0ms
(sqrt (+ x 1.0))
7.0ms
(+ (sqrt (+ x 1.0)) (sqrt x))
9.0ms
(/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))

series231.0ms

Counts
3 → 9
Calls
3 calls:
29.0ms
(sqrt (+ x 1.0))
66.0ms
(+ (sqrt (+ x 1.0)) (sqrt x))
136.0ms
(/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))

simplify41.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0341624
11239566
25001533

prune159.0ms

Filtered
80 candidates to 53 candidates (66.3%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New73780
Fresh022
Picked011
Done101
Total741084

Merged error: 0.0b

Counts
84 → 10

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ 1.0 (+ (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0)))) (sqrt x)))
0.2b
(* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))))
0.2b
(cbrt (+ x 1.0))
0.2b
(cbrt (+ x 1.0))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt *-un-lft-identity
18×add-cube-cbrt
13×cbrt-prod
10×associate-*r*
9×times-frac sqrt-prod
8×add-exp-log add-cbrt-cube
6×pow1 cbrt-div
4×flip3-+ flip-+ add-log-exp
3×associate-*l* associate-/r* distribute-lft-out associate-/l* unswap-sqr
2×pow1/3 sqrt-div associate-*r/ associate-/r/
1×cbrt-undiv frac-2neg div-exp pow-prod-down prod-exp clear-num *-commutative cbrt-unprod div-inv
Counts
4 → 86
Calls
4 calls:
10.0ms
(/ 1.0 (+ (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0)))) (sqrt x)))
8.0ms
(* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))))
3.0ms
(cbrt (+ x 1.0))
4.0ms
(cbrt (+ x 1.0))

series463.0ms

Counts
4 → 12
Calls
4 calls:
178.0ms
(/ 1.0 (+ (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0)))) (sqrt x)))
118.0ms
(* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))))
83.0ms
(cbrt (+ x 1.0))
84.0ms
(cbrt (+ x 1.0))

simplify99.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (84.0ms)

IterNodesCost
08501475
139671385
250021364

prune321.0ms

Filtered
98 candidates to 79 candidates (80.6%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New94498
Fresh358
Picked101
Done011
Total9810108

Merged error: 0b

Counts
108 → 10

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (+ x 1.0))
0.3b
(cbrt (sqrt (+ x 1.0)))
0.3b
(cbrt (sqrt (+ x 1.0)))
0.3b
(* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
66×cbrt-prod
43×add-sqr-sqrt
41×*-un-lft-identity
36×sqrt-prod
21×add-cube-cbrt
18×cbrt-div
16×sqrt-div
14×swap-sqr
11×pow1
10×associate-*r* associate-*l*
9×flip3-+ pow1/3 flip-+ distribute-lft-out unswap-sqr
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 117
Calls
4 calls:
3.0ms
(cbrt (+ x 1.0))
4.0ms
(cbrt (sqrt (+ x 1.0)))
4.0ms
(cbrt (sqrt (+ x 1.0)))
13.0ms
(* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))))

series356.0ms

Counts
4 → 12
Calls
4 calls:
88.0ms
(cbrt (+ x 1.0))
89.0ms
(cbrt (sqrt (+ x 1.0)))
90.0ms
(cbrt (sqrt (+ x 1.0)))
89.0ms
(* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))))

simplify49.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
03641243
111891172
250011057

prune340.0ms

Filtered
129 candidates to 81 candidates (62.8%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New1290129
Fresh088
Picked011
Done011
Total12910139

Merged error: 0b

Counts
139 → 10

regimes76.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
095
195

end0.0ms

sample899.0ms

Algorithm
intervals
Results
213.0ms8187×body80nan
208.0ms1687×body1280valid
126.0ms1320×body640valid
106.0ms4069×body80valid
45.0ms625×body320valid
14.0ms299×body160valid