Details

Time bar (total: 7.4s)

analyze220.0ms (3%)

Algorithm
search
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01920
11920
022
122
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
50%50%0.1%5
50%50%0.1%6
62.4%34.3%3.2%7
62.4%32.8%4.8%8
68.7%21.1%10.2%9
68.7%19.1%12.2%10
71.8%11.5%16.7%11
71.8%10.2%18%12
73.4%6%20.6%13
73.4%5.3%21.3%14
Compiler

Compiled 8 to 7 computations (12.5% saved)

sample15.0ms (0.2%)

Algorithm
intervals
Results
6.0ms256×body128valid
0.0ms16×body128invalid
Compiler

Compiled 15 to 15 computations (0% saved)

simplify7.0ms (0.1%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
01210
11210

prune3.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
7.1b
Counts
2 → 1
Compiler

Compiled 14 to 12 computations (14.3% saved)

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

11.3b
(/.f64 x (*.f64 y y))

rewrite33.0ms (0.4%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
add-exp-log_binary64_8982 add-cbrt-cube_binary64_8980
add-cube-cbrt_binary64_8979 add-sqr-sqrt_binary64_8966 times-frac_binary64_8950 *-un-lft-identity_binary64_8944 associate-/l*_binary64_8889
div-exp_binary64_8995 cbrt-undiv_binary64_8978
pow1_binary64_9005 prod-exp_binary64_8993 add-log-exp_binary64_8983 cbrt-unprod_binary64_8977 frac-2neg_binary64_8955 clear-num_binary64_8943 div-inv_binary64_8941 associate-/r*_binary64_8888
Counts
1 → 21
Calls

1 calls:

8.0ms
(/.f64 x (*.f64 y y))
Compiler

Compiled 256 to 108 computations (57.8% saved)

series69.0ms (0.9%)

Error
7.1b
Counts
1 → 6
Calls

1 calls:

64.0ms
(/.f64 x (*.f64 y y))
Compiler

Compiled 126 to 116 computations (7.9% saved)

simplify77.0ms (1%)

Algorithm
egg-herbie
Counts
27 → 27
Iterations

Useful iterations: 0 (69.0ms)

IterNodesCost
06109244

prune24.0ms (0.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New23427
Fresh000
Picked011
Done000
Total23528
Error
0.0b
Counts
28 → 5
Compiler

Compiled 299 to 138 computations (53.8% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.2b
(/.f64 (/.f64 x y) y)

rewrite69.0ms (0.9%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
75×times-frac_binary64_8950
43×add-cube-cbrt_binary64_8979 add-sqr-sqrt_binary64_8966 *-un-lft-identity_binary64_8944
13×associate-/l*_binary64_8889
add-exp-log_binary64_8982 add-cbrt-cube_binary64_8980
div-inv_binary64_8941
div-exp_binary64_8995 cbrt-undiv_binary64_8978 associate-/r*_binary64_8888
pow1_binary64_9005 add-log-exp_binary64_8983 frac-2neg_binary64_8955 clear-num_binary64_8943 associate-/l/_binary64_8891
Counts
1 → 70
Calls

1 calls:

6.0ms
(/.f64 (/.f64 x y) y)
Compiler

Compiled 1151 to 418 computations (63.7% saved)

series64.0ms (0.9%)

Error
0.0b
Counts
1 → 6
Calls

1 calls:

60.0ms
(/.f64 (/.f64 x y) y)
Compiler

Compiled 126 to 116 computations (7.9% saved)

simplify112.0ms (1.5%)

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 0 (93.0ms)

IterNodesCost
047631090
147631090

prune70.0ms (0.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New73376
Fresh033
Picked011
Done101
Total74781
Error
0.0b
Counts
81 → 7
Compiler

Compiled 1111 to 476 computations (57.2% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.1b
(/.f64 y (/.f64 x y))
0.5b
(/.f64 1 (/.f64 y (/.f64 x y)))

rewrite380.0ms (5.1%)

Algorithm
rewrite-expression-head
Error
0b
Rules
471×times-frac_binary64_8950
229×add-cube-cbrt_binary64_8979 add-sqr-sqrt_binary64_8966 *-un-lft-identity_binary64_8944
57×associate-/r*_binary64_8888
28×add-exp-log_binary64_8982
22×div-inv_binary64_8941
18×div-exp_binary64_8995
16×add-cbrt-cube_binary64_8980
cbrt-undiv_binary64_8978
associate-/r/_binary64_8890 associate-/l*_binary64_8889
pow1_binary64_9005 1-exp_binary64_8988 rec-exp_binary64_8994
add-log-exp_binary64_8983 frac-2neg_binary64_8955 clear-num_binary64_8943
inv-pow_binary64_9029 pow-flip_binary64_9018
Counts
2 → 274
Calls

2 calls:

14.0ms
(/.f64 1 (/.f64 y (/.f64 x y)))
6.0ms
(/.f64 y (/.f64 x y))
Compiler

Compiled 5823 to 2541 computations (56.4% saved)

series188.0ms (2.5%)

Error
0.0b
Counts
2 → 12
Calls

2 calls:

103.0ms
(/.f64 y (/.f64 x y))
78.0ms
(/.f64 1 (/.f64 y (/.f64 x y)))
Compiler

Compiled 288 to 266 computations (7.6% saved)

simplify142.0ms (1.9%)

Algorithm
egg-herbie
Counts
286 → 286
Iterations

Useful iterations: 0 (91.0ms)

IterNodesCost
050685036

prune240.0ms (3.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New2833286
Fresh235
Picked101
Done011
Total2867293
Error
0b
Counts
293 → 7
Compiler

Compiled 4740 to 2096 computations (55.8% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.2b
(/.f64 1 (/.f64 x y))
0.2b
(/.f64 (/.f64 1 y) (/.f64 1 (/.f64 x y)))

rewrite2.2s (29.9%)

Algorithm
rewrite-expression-head
Error
0b
Rules
1976×times-frac_binary64_8950
849×add-cube-cbrt_binary64_8979 add-sqr-sqrt_binary64_8966 *-un-lft-identity_binary64_8944
107×div-inv_binary64_8941
96×add-exp-log_binary64_8982
77×div-exp_binary64_8995
57×associate-/r*_binary64_8888
28×add-cbrt-cube_binary64_8980
18×cbrt-undiv_binary64_8978
17×1-exp_binary64_8988 rec-exp_binary64_8994
16×associate-/r/_binary64_8890 associate-/l*_binary64_8889
pow1_binary64_9005
add-log-exp_binary64_8983 frac-2neg_binary64_8955 clear-num_binary64_8943
associate-/l/_binary64_8891 inv-pow_binary64_9029 pow-flip_binary64_9018
Counts
2 → 751
Calls

2 calls:

31.0ms
(/.f64 (/.f64 1 y) (/.f64 1 (/.f64 x y)))
6.0ms
(/.f64 1 (/.f64 x y))
Compiler

Compiled 20580 to 12644 computations (38.6% saved)

series132.0ms (1.8%)

Error
0b
Counts
2 → 12
Calls

2 calls:

76.0ms
(/.f64 (/.f64 1 y) (/.f64 1 (/.f64 x y)))
47.0ms
(/.f64 1 (/.f64 x y))
Compiler

Compiled 288 to 243 computations (15.6% saved)

simplify309.0ms (4.2%)

Algorithm
egg-herbie
Counts
763 → 763
Iterations

Useful iterations: 0 (68.0ms)

IterNodesCost
0500019209

prune1.1s (14.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New7612763
Fresh235
Picked101
Done011
Total7646770
Error
0b
Counts
770 → 6
Compiler

Compiled 15249 to 7049 computations (53.8% saved)

regimes627.0ms (8.5%)

Accuracy

Total 0.1b remaining (98.9%)

Threshold costs 0.1b (98.9%)

Compiler

Compiled 3621 to 2556 computations (29.4% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01913
11913

end0.0ms (0%)

sample1.3s (17.5%)

Algorithm
intervals
Results
239.0ms8000×body128valid
11.0ms381×body128invalid
Compiler

Compiled 705 to 505 computations (28.4% saved)

Profiling

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