Details

Time bar (total: 3.2s)

sample20.0ms

Algorithm
intervals
Results
5.0ms195×body80valid
2.0ms25×body640valid
2.0ms14×body1280valid
1.0ms15×body320valid
0.0ms7×body160valid

simplify105.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 4 (18.0ms)

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

prune7.0ms

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: 14.3b

Counts
2 → 2

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (+ y 1.0))
1.4b
(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)

series99.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(/ y (+ y 1.0))
57.0ms
(fma (/ y (+ y 1.0)) (- x 1.0) 1.0)

simplify127.0ms

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 3 (121.0ms)

IterNodesCost
0203263
1708238
23148232
35002228

prune145.0ms

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: 7.9b

Counts
53 → 9

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (+ y 1.0))
0.1b
(* y (/ 1 (+ y 1.0)))
3.3b
(fma (* y (/ 1 (+ y 1.0))) (- x 1.0) 1.0)

rewrite25.0ms

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)

series122.0ms

Counts
3 → 9
Calls
3 calls:
25.0ms
(/ 1 (+ y 1.0))
40.0ms
(* y (/ 1 (+ y 1.0)))
57.0ms
(fma (* y (/ 1 (+ y 1.0))) (- x 1.0) 1.0)

simplify60.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0324499
11447427
25002381

prune223.0ms

Filtered
101 candidates to 62 candidates (61.4%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New992101
Fresh178
Picked011
Done000
Total10010110

Merged error: 7.9b

Counts
110 → 10

localize15.0ms

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))
7.9b
(fma (* y (* (/ 1 (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ 1 (cbrt (+ y 1.0))))) (- x 1.0) 1.0)

rewrite13.0ms

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:
4.0ms
(cbrt (+ y 1.0))
3.0ms
(cbrt (+ y 1.0))
3.0ms
(cbrt (+ y 1.0))
1.0ms
(fma (* y (* (/ 1 (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ 1 (cbrt (+ y 1.0))))) (- x 1.0) 1.0)

series367.0ms

Counts
4 → 12
Calls
4 calls:
103.0ms
(cbrt (+ y 1.0))
103.0ms
(cbrt (+ y 1.0))
97.0ms
(cbrt (+ y 1.0))
63.0ms
(fma (* y (* (/ 1 (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (/ 1 (cbrt (+ y 1.0))))) (- x 1.0) 1.0)

simplify106.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 3 (96.0ms)

IterNodesCost
0238578
1716526
22821503
35002464

prune288.0ms

Filtered
70 candidates to 59 candidates (84.3%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New67370
Fresh178
Picked101
Done011
Total691180

Merged error: 7.9b

Counts
80 → 11

localize12.0ms

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))
11.1b
(fma (/ (/ y (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (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)))) (cbrt (+ y 1.0))) (- x 1.0) 1.0)

series375.0ms

Counts
4 → 12
Calls
4 calls:
104.0ms
(cbrt (+ y 1.0))
103.0ms
(cbrt (+ y 1.0))
104.0ms
(cbrt (+ y 1.0))
64.0ms
(fma (/ (/ y (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (cbrt (+ y 1.0))) (- x 1.0) 1.0)

simplify83.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 3 (74.0ms)

IterNodesCost
0230552
1657500
22252479
35001448

prune264.0ms

Filtered
70 candidates to 62 candidates (88.6%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New68270
Fresh189
Picked101
Done101
Total711081

Merged error: 7.9b

Counts
81 → 10

regimes102.0ms

Accuracy

96.2% (0.3b remaining)

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

bsearch109.0ms

Steps
ItersRangePoint
8
3.0330173914957347e+60
4.40570313766753e+64
3.498910123926415e+61
10
-8893382635004147.0
-205992.06318510068
-8659825697216969.0

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02512
12512

end0.0ms

sample494.0ms

Algorithm
intervals
Results
168.0ms6114×body80valid
77.0ms739×body640valid
57.0ms372×body1280valid
36.0ms482×body320valid
15.0ms293×body160valid