Details

Time bar (total: 2.9s)

sample22.0ms

Algorithm
intervals
Results
9.0ms200×body80valid
2.0ms19×body640valid
1.0ms9×body1280valid
1.0ms14×body320valid
1.0ms14×body160valid

simplify69.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 4 (9.0ms)

IterNodesCost
0165
1355
2765
31375
42854
54594
67194
78484
810644
913974
1021014
1150024

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: 13.1b

Counts
2 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (+ y 1.0))
3.3b
(fma (/ y (+ y 1.0)) (- x 1.0) 1.0)

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
12×times-frac
11×add-sqr-sqrt add-cube-cbrt
4×add-exp-log associate-/r* add-cbrt-cube distribute-lft-out
3×associate-/l*
2×pow1 expm1-log1p-u associate-/r/ log1p-expm1-u add-log-exp
1×cbrt-undiv frac-2neg flip3-+ div-exp clear-num flip-+ fma-udef div-inv
Counts
2 → 45
Calls
2 calls:
5.0ms
(/ y (+ y 1.0))
1.0ms
(fma (/ y (+ y 1.0)) (- x 1.0) 1.0)

series86.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(/ y (+ y 1.0))
50.0ms
(fma (/ y (+ y 1.0)) (- x 1.0) 1.0)

simplify106.0ms

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 3 (101.0ms)

IterNodesCost
0203263
1708238
23148232
35002228

prune115.0ms

Filtered
51 candidates to 40 candidates (78.4%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New42951
Fresh101
Picked101
Done000
Total44953

Merged error: 7.3b

Counts
53 → 9

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (+ y 1.0))
0.1b
(* y (/ 1 (+ y 1.0)))
4.7b
(fma (* y (/ 1 (+ y 1.0))) (- x 1.0) 1.0)

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
36×*-un-lft-identity
28×add-sqr-sqrt
26×times-frac
21×add-cube-cbrt
18×associate-*r*
16×add-exp-log
10×add-cbrt-cube
7×distribute-lft-out
6×pow1
4×div-exp prod-exp associate-/r* associate-/r/
3×expm1-log1p-u associate-*l* log1p-expm1-u associate-/l* add-log-exp unswap-sqr
2×cbrt-undiv rec-exp flip3-+ 1-exp cbrt-unprod flip-+ div-inv
1×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative fma-udef inv-pow
Counts
3 → 92
Calls
3 calls:
5.0ms
(/ 1 (+ y 1.0))
10.0ms
(* y (/ 1 (+ y 1.0)))
1.0ms
(fma (* y (/ 1 (+ y 1.0))) (- x 1.0) 1.0)

series112.0ms

Counts
3 → 9
Calls
3 calls:
25.0ms
(/ 1 (+ y 1.0))
33.0ms
(* y (/ 1 (+ y 1.0)))
55.0ms
(fma (* y (/ 1 (+ y 1.0))) (- x 1.0) 1.0)

simplify46.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0324499
11447427
25002381

prune149.0ms

Filtered
101 candidates to 62 candidates (61.4%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New992101
Fresh088
Picked101
Done000
Total10010110

Merged error: 7.3b

Counts
110 → 10

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (+ y 1.0))
0.3b
(cbrt (+ y 1.0))
0.3b
(cbrt (+ y 1.0))
10.5b
(fma (* (/ 1 (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ y (cbrt (+ y 1.0)))) (- x 1.0) 1.0)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
13×*-un-lft-identity
12×cbrt-prod
7×add-sqr-sqrt add-cube-cbrt
6×cbrt-div
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×flip3-+ pow1/3 flip-+ distribute-lft-out
1×fma-udef
Counts
4 → 58
Calls
4 calls:
3.0ms
(cbrt (+ y 1.0))
3.0ms
(cbrt (+ y 1.0))
3.0ms
(cbrt (+ y 1.0))
1.0ms
(fma (* (/ 1 (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ y (cbrt (+ y 1.0)))) (- x 1.0) 1.0)

series320.0ms

Counts
4 → 12
Calls
4 calls:
83.0ms
(cbrt (+ y 1.0))
83.0ms
(cbrt (+ y 1.0))
101.0ms
(cbrt (+ y 1.0))
53.0ms
(fma (* (/ 1 (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ y (cbrt (+ y 1.0)))) (- x 1.0) 1.0)

simplify74.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 3 (67.0ms)

IterNodesCost
0235565
1699515
22697493
35001461

prune205.0ms

Filtered
70 candidates to 62 candidates (88.6%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New68270
Fresh099
Picked101
Done000
Total691180

Merged error: 7.3b

Counts
80 → 11

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
10.1b
(fma (* (* (cbrt y) (cbrt y)) (/ (cbrt y) (+ y 1.0))) (- x 1.0) 1.0)

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×pow1/3
1×fma-udef
Counts
4 → 49
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(fma (* (* (cbrt y) (cbrt y)) (/ (cbrt y) (+ y 1.0))) (- x 1.0) 1.0)

series569.0ms

Counts
4 → 12
Calls
4 calls:
171.0ms
(cbrt y)
166.0ms
(cbrt y)
166.0ms
(cbrt y)
66.0ms
(fma (* (* (cbrt y) (cbrt y)) (/ (cbrt y) (+ y 1.0))) (- x 1.0) 1.0)

simplify43.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 3 (38.0ms)

IterNodesCost
0104277
1282243
21092232
35002228

prune140.0ms

Filtered
61 candidates to 53 candidates (86.9%)
Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New56561
Fresh1910
Picked011
Done000
Total571572

Merged error: 7.2b

Counts
72 → 15

regimes121.0ms

Accuracy

97.1% (0.2b remaining)

Error of 7.3b against oracle of 7.1b and baseline of 14.5b

bsearch87.0ms

Steps
ItersRangePoint
10
1.557619741341796e+22
8.796380387336769e+32
1.8332837474671185e+30
7
-3.122652946864534e+19
-1.3464383941063084e+18
-1.4483310838741097e+18

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03013
13013

end0.0ms

sample586.0ms

Algorithm
intervals
Results
219.0ms6083×body80valid
98.0ms742×body640valid
58.0ms350×body1280valid
52.0ms514×body320valid
20.0ms311×body160valid

Profiling

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