Details

Time bar (total: 3.2s)

sample22.0ms

Algorithm
intervals
Results
8.0ms202×body80valid
2.0ms19×body640valid
2.0ms15×body1280valid
1.0ms11×body320valid
0.0ms9×body160valid

simplify93.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 4 (14.0ms)

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

prune6.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 13.0b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (+ y 1.0))
2.7b
(fma (/ y (+ y 1.0)) (- x 1.0) 1.0)

rewrite8.0ms

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:
6.0ms
(/ y (+ y 1.0))
1.0ms
(fma (/ y (+ y 1.0)) (- x 1.0) 1.0)

series98.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(/ y (+ y 1.0))
62.0ms
(fma (/ y (+ y 1.0)) (- x 1.0) 1.0)

simplify124.0ms

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 3 (119.0ms)

IterNodesCost
0203263
1708238
23148232
35002228

prune151.0ms

Filtered
51 candidates to 40 candidates (78.4%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New411051
Fresh000
Picked101
Done000
Total421052

Merged error: 6.4b

Counts
52 → 10

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (+ y 1.0))
0.1b
(* y (/ 1 (+ y 1.0)))
5.2b
(fma (* y (/ 1 (+ y 1.0))) (- x 1.0) 1.0)

rewrite21.0ms

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:
6.0ms
(/ 1 (+ y 1.0))
11.0ms
(* y (/ 1 (+ y 1.0)))
1.0ms
(fma (* y (/ 1 (+ y 1.0))) (- x 1.0) 1.0)

series126.0ms

Counts
3 → 9
Calls
3 calls:
25.0ms
(/ 1 (+ y 1.0))
39.0ms
(* y (/ 1 (+ y 1.0)))
61.0ms
(fma (* y (/ 1 (+ y 1.0))) (- x 1.0) 1.0)

simplify57.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0324499
11447427
25002381

prune185.0ms

Filtered
101 candidates to 61 candidates (60.4%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1001101
Fresh189
Picked101
Done000
Total1029111

Merged error: 6.4b

Counts
111 → 9

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (+ y 1.0))
0.2b
(cbrt (+ y 1.0))
0.2b
(cbrt (+ y 1.0))
9.0b
(fma (* (/ y (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ 1 (cbrt (+ y 1.0)))) (- x 1.0) 1.0)

rewrite12.0ms

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 (* (/ y (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ 1 (cbrt (+ y 1.0)))) (- x 1.0) 1.0)

series369.0ms

Counts
4 → 12
Calls
4 calls:
103.0ms
(cbrt (+ y 1.0))
102.0ms
(cbrt (+ y 1.0))
101.0ms
(cbrt (+ y 1.0))
62.0ms
(fma (* (/ y (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ 1 (cbrt (+ y 1.0)))) (- x 1.0) 1.0)

simplify91.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 3 (83.0ms)

IterNodesCost
0235565
1698515
22650500
35001468

prune263.0ms

Filtered
70 candidates to 62 candidates (88.6%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New69170
Fresh178
Picked101
Done000
Total71879

Merged error: 6.4b

Counts
79 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
9.0b
(fma (/ (* (cbrt y) (cbrt y)) (/ (+ y 1.0) (cbrt y))) (- x 1.0) 1.0)

rewrite6.0ms

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)) (/ (+ y 1.0) (cbrt y))) (- x 1.0) 1.0)

series685.0ms

Counts
4 → 12
Calls
4 calls:
208.0ms
(cbrt y)
199.0ms
(cbrt y)
195.0ms
(cbrt y)
82.0ms
(fma (/ (* (cbrt y) (cbrt y)) (/ (+ y 1.0) (cbrt y))) (- x 1.0) 1.0)

simplify46.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 3 (41.0ms)

IterNodesCost
0104277
1278244
21012231
35002227

prune179.0ms

Filtered
61 candidates to 53 candidates (86.9%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New58361
Fresh167
Picked101
Done000
Total60969

Merged error: 6.4b

Counts
69 → 9

regimes94.0ms

Accuracy

97.1% (0.2b remaining)

Error of 7.5b against oracle of 7.2b and baseline of 14.7b

bsearch109.0ms

Steps
ItersRangePoint
7
5.127508198021076e+22
8.544996986382428e+23
4.756661647935621e+23
10
-682617980869.3319
-0.0014566459989916651
-669531733767.7218

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03316
13316

end0.0ms

sample459.0ms

Algorithm
intervals
Results
156.0ms6149×body80valid
68.0ms710×body640valid
43.0ms516×body320valid
40.0ms348×body1280valid
17.0ms277×body160valid

Profiling

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