Details

Time bar (total: 2.2s)

analyze35.0ms (1.6%)

Algorithm
search
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
25%74.9%0.1%4
43.7%56.2%0.1%5
65.6%34.3%0.1%6
76.5%23.4%0.1%7
82%18%0.1%8
87.8%12.1%0.1%9
90.7%9.2%0.1%10
93.8%6.1%0.1%11
95.3%4.6%0.1%12
96.8%3.1%0.1%13
97.6%2.3%0.1%14
Compiler

Compiled 6 to 5 computations (16.7% saved)

sample11.0ms (0.5%)

Algorithm
intervals
Results
5.0ms256×body128valid
Compiler

Compiled 11 to 11 computations (0% saved)

simplify165.0ms (7.4%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
067
167

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.0b

Counts
2 → 1
Compiler

Compiled 10 to 8 computations (20% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b
(/.f64 x (+.f64 y x))

rewrite8.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
18×*-un-lft-identity_binary64_9023
12×times-frac_binary64_9029
10×add-cube-cbrt_binary64_9058 add-sqr-sqrt_binary64_9045
distribute-lft-out_binary64_8974 associate-/r*_binary64_8967
associate-/l*_binary64_8968 add-cbrt-cube_binary64_9059 add-exp-log_binary64_9061
associate-/r/_binary64_8969
frac-2neg_binary64_9034 div-inv_binary64_9020 add-log-exp_binary64_9062 flip-+_binary64_8997 flip3-+_binary64_9026 clear-num_binary64_9022 pow1_binary64_9084 cbrt-undiv_binary64_9057 div-exp_binary64_9074
Counts
1 → 33
Calls

1 calls:

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

series53.0ms (2.4%)

Counts
1 → 3
Calls

1 calls:

53.0ms
(/.f64 x (+.f64 y x))

simplify63.0ms (2.8%)

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
05301431

prune40.0ms (1.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New34236
Fresh000
Picked011
Done000
Total34337

Merged error: 0b

Counts
37 → 3
Compiler

Compiled 620 to 245 computations (60.5% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 1 (+.f64 x y))
0.2b
(*.f64 x (/.f64 1 (+.f64 x y)))

rewrite24.0ms (1.1%)

Algorithm
rewrite-expression-head
Rules
35×*-un-lft-identity_binary64_9023
27×add-sqr-sqrt_binary64_9045
26×times-frac_binary64_9029
20×add-cube-cbrt_binary64_9058
18×associate-*r*_binary64_8963
15×add-exp-log_binary64_9061
add-cbrt-cube_binary64_9059
distribute-lft-out_binary64_8974
pow1_binary64_9084
associate-/r/_binary64_8969 prod-exp_binary64_9072 associate-/r*_binary64_8967 div-exp_binary64_9074
associate-/l*_binary64_8968 associate-*l*_binary64_8964 unswap-sqr_binary64_8991
1-exp_binary64_9067 div-inv_binary64_9020 add-log-exp_binary64_9062 flip-+_binary64_8997 flip3-+_binary64_9026 cbrt-unprod_binary64_9056 cbrt-undiv_binary64_9057 rec-exp_binary64_9073
pow-flip_binary64_9097 frac-2neg_binary64_9034 un-div-inv_binary64_9021 *-commutative_binary64_8954 inv-pow_binary64_9108 associate-*r/_binary64_8965 clear-num_binary64_9022 pow-prod-down_binary64_9094
Counts
2 → 78
Calls

2 calls:

12.0ms
(*.f64 x (/.f64 1 (+.f64 x y)))
6.0ms
(/.f64 1 (+.f64 x y))

series96.0ms (4.3%)

Counts
2 → 6
Calls

2 calls:

56.0ms
(*.f64 x (/.f64 1 (+.f64 x y)))
40.0ms
(/.f64 1 (+.f64 x y))

simplify71.0ms (3.2%)

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
04878843
14878843

prune53.0ms (2.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New84084
Fresh011
Picked011
Done011
Total84387

Merged error: 0b

Counts
87 → 3
Compiler

Compiled 994 to 417 computations (58% saved)

localize7.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b
(*.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) (cbrt.f64 (/.f64 x (+.f64 x y))))
8.2b
(cbrt.f64 (/.f64 x (+.f64 x y)))
8.2b
(cbrt.f64 (/.f64 x (+.f64 x y)))
8.2b
(cbrt.f64 (/.f64 x (+.f64 x y)))

rewrite71.0ms (3.2%)

Algorithm
rewrite-expression-head
Rules
150×cbrt-prod_binary64_9054
128×*-un-lft-identity_binary64_9023
102×times-frac_binary64_9029
92×add-sqr-sqrt_binary64_9045
68×add-cube-cbrt_binary64_9058
27×swap-sqr_binary64_8990 distribute-lft-out_binary64_8974
21×associate-*r*_binary64_8963 associate-*l*_binary64_8964
14×associate-/r/_binary64_8969
11×pow1_binary64_9084
pow1/3_binary64_9105 unswap-sqr_binary64_8991
div-inv_binary64_9020 cbrt-div_binary64_9055 flip-+_binary64_8997 flip3-+_binary64_9026
add-exp-log_binary64_9061
add-cbrt-cube_binary64_9059 add-log-exp_binary64_9062
pow-sqr_binary64_8996 pow-prod-down_binary64_9094 pow-prod-up_binary64_9093
prod-exp_binary64_9072 *-commutative_binary64_8954 pow2_binary64_9104 associate-*l/_binary64_8966 frac-times_binary64_9033 pow-plus_binary64_9086 associate-*r/_binary64_8965 cbrt-unprod_binary64_9056
Counts
4 → 180
Calls

4 calls:

26.0ms
(*.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) (cbrt.f64 (/.f64 x (+.f64 x y))))
6.0ms
(cbrt.f64 (/.f64 x (+.f64 x y)))
5.0ms
(cbrt.f64 (/.f64 x (+.f64 x y)))
5.0ms
(cbrt.f64 (/.f64 x (+.f64 x y)))

series877.0ms (39.3%)

Counts
4 → 12
Calls

4 calls:

265.0ms
(*.f64 (cbrt.f64 (/.f64 x (+.f64 x y))) (cbrt.f64 (/.f64 x (+.f64 x y))))
219.0ms
(cbrt.f64 (/.f64 x (+.f64 x y)))
199.0ms
(cbrt.f64 (/.f64 x (+.f64 x y)))
194.0ms
(cbrt.f64 (/.f64 x (+.f64 x y)))

simplify94.0ms (4.2%)

Algorithm
egg-herbie
Counts
192 → 192
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
053753916

prune151.0ms (6.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1920192
Fresh000
Picked011
Done022
Total1923195

Merged error: 0b

Counts
195 → 3
Compiler

Compiled 5113 to 867 computations (83% saved)

regimes29.0ms (1.3%)

Compiler

Compiled 110 to 67 computations (39.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
067
167

end0.0ms (0%)

sample371.0ms (16.6%)

Algorithm
intervals
Results
174.0ms8000×body128valid
Compiler

Compiled 43 to 28 computations (34.9% saved)

Profiling

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