Details

Time bar (total: 2.4s)

analyze257.0ms (10.6%)

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
0%99.9%0.1%4
0%99.9%0.1%5
0%99.9%0.1%6
31.2%68.6%0.1%7
40.6%59.3%0.1%8
43.7%56.2%0.1%9
56.6%43.3%0.1%10
61%37.3%1.7%11
62.1%34.8%3.1%12
68.6%25.6%5.8%13
70.6%22.1%7.4%14
Compiler

Compiled 8 to 7 computations (12.5% saved)

sample18.0ms (0.7%)

Algorithm
intervals
Results
6.0ms256×body128valid
1.0ms30×body128invalid
Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify192.0ms (7.9%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (19.0ms)

IterNodesCost
033710
133710

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1
Compiler

Compiled 14 to 12 computations (14.3% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite24.0ms (1%)

Algorithm
rewrite-expression-head
Rules
22×*-un-lft-identity_binary64_79
20×add-sqr-sqrt_binary64_101
15×times-frac_binary64_85
12×add-cube-cbrt_binary64_114
associate-/l*_binary64_24
add-exp-log_binary64_117 add-cbrt-cube_binary64_115 distribute-lft-out--_binary64_31 difference-of-squares_binary64_48 add-log-exp_binary64_118
associate-/r*_binary64_23
div-sub_binary64_84 associate-/l/_binary64_26 pow1_binary64_140
cbrt-undiv_binary64_113 div-exp_binary64_130 flip-+_binary64_53 div-inv_binary64_76 sum-log_binary64_170 +-commutative_binary64_9 flip--_binary64_54 associate-+r-_binary64_13 clear-num_binary64_78 flip3--_binary64_83 flip3-+_binary64_82 distribute-lft-out_binary64_30 frac-2neg_binary64_90
Counts
2 → 51
Calls

2 calls:

11.0ms
(+.f64 x (/.f64 (-.f64 y x) z))
7.0ms
(/.f64 (-.f64 y x) z)

series100.0ms (4.1%)

Counts
2 → 6
Calls

2 calls:

53.0ms
(/.f64 (-.f64 y x) z)
46.0ms
(+.f64 x (/.f64 (-.f64 y x) z))

simplify56.0ms (2.3%)

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
04972779
14972779

prune51.0ms (2.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New55257
Fresh000
Picked011
Done000
Total55358

Merged error: 0b

Counts
58 → 3
Compiler

Compiled 933 to 331 computations (64.5% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 x (/.f64 1 (/.f64 z (-.f64 y x))))
0.4b
(/.f64 1 (/.f64 z (-.f64 y x)))

rewrite49.0ms (2%)

Algorithm
rewrite-expression-head
Rules
123×times-frac_binary64_85
87×*-un-lft-identity_binary64_79
84×add-sqr-sqrt_binary64_101
60×add-cube-cbrt_binary64_114
21×associate-/r*_binary64_23
13×add-exp-log_binary64_117
12×distribute-lft-out--_binary64_31 difference-of-squares_binary64_48
associate-/r/_binary64_25
add-cbrt-cube_binary64_115 div-exp_binary64_130
div-inv_binary64_76
flip--_binary64_54 add-log-exp_binary64_118 flip3--_binary64_83
cbrt-undiv_binary64_113 associate-/l*_binary64_24 pow1_binary64_140
1-exp_binary64_123 rec-exp_binary64_129 distribute-lft-out_binary64_30
flip-+_binary64_53 sum-log_binary64_170 +-commutative_binary64_9 inv-pow_binary64_164 clear-num_binary64_78 flip3-+_binary64_82 frac-2neg_binary64_90 pow-flip_binary64_153
Counts
2 → 121
Calls

2 calls:

23.0ms
(+.f64 x (/.f64 1 (/.f64 z (-.f64 y x))))
10.0ms
(/.f64 1 (/.f64 z (-.f64 y x)))

series112.0ms (4.6%)

Counts
2 → 6
Calls

2 calls:

71.0ms
(/.f64 1 (/.f64 z (-.f64 y x)))
41.0ms
(+.f64 x (/.f64 1 (/.f64 z (-.f64 y x))))

simplify75.0ms (3.1%)

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
054032277

prune93.0ms (3.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1270127
Fresh011
Picked011
Done011
Total1273130

Merged error: 0b

Counts
130 → 3
Compiler

Compiled 2042 to 616 computations (69.8% saved)

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b
(+.f64 x (/.f64 (/.f64 (-.f64 y x) (sqrt.f64 z)) (sqrt.f64 z)))
0.1b
(/.f64 (-.f64 y x) (sqrt.f64 z))
0.2b
(/.f64 (/.f64 (-.f64 y x) (sqrt.f64 z)) (sqrt.f64 z))

rewrite134.0ms (5.5%)

Algorithm
rewrite-expression-head
Rules
444×times-frac_binary64_85
311×*-un-lft-identity_binary64_79
309×add-sqr-sqrt_binary64_101
228×sqrt-prod_binary64_95
211×add-cube-cbrt_binary64_114
49×distribute-lft-out--_binary64_31 difference-of-squares_binary64_48
39×associate-/l*_binary64_24
12×associate-/r*_binary64_23
10×add-exp-log_binary64_117 add-cbrt-cube_binary64_115
div-inv_binary64_76
div-sub_binary64_84 add-log-exp_binary64_118
cbrt-undiv_binary64_113 div-exp_binary64_130
associate-/l/_binary64_26 pow1_binary64_140
clear-num_binary64_78 frac-2neg_binary64_90
flip-+_binary64_53 sum-log_binary64_170 +-commutative_binary64_9 flip--_binary64_54 associate-+r-_binary64_13 flip3--_binary64_83 flip3-+_binary64_82 distribute-lft-out_binary64_30
Counts
3 → 329
Calls

3 calls:

60.0ms
(+.f64 x (/.f64 (/.f64 (-.f64 y x) (sqrt.f64 z)) (sqrt.f64 z)))
17.0ms
(/.f64 (/.f64 (-.f64 y x) (sqrt.f64 z)) (sqrt.f64 z))
8.0ms
(/.f64 (-.f64 y x) (sqrt.f64 z))

series324.0ms (13.3%)

Counts
3 → 9
Calls

3 calls:

125.0ms
(+.f64 x (/.f64 (/.f64 (-.f64 y x) (sqrt.f64 z)) (sqrt.f64 z)))
107.0ms
(/.f64 (/.f64 (-.f64 y x) (sqrt.f64 z)) (sqrt.f64 z))
92.0ms
(/.f64 (-.f64 y x) (sqrt.f64 z))

simplify136.0ms (5.6%)

Algorithm
egg-herbie
Counts
338 → 338
Iterations

Useful iterations: 0 (60.0ms)

IterNodesCost
052608452

prune250.0ms (10.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New3380338
Fresh000
Picked011
Done022
Total3383341

Merged error: 0b

Counts
341 → 3
Compiler

Compiled 6846 to 1304 computations (81% saved)

regimes41.0ms (1.7%)

Compiler

Compiled 128 to 118 computations (7.8% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01810
11810

end0.0ms (0%)

sample502.0ms (20.6%)

Algorithm
intervals
Results
205.0ms8000×body128valid
32.0ms1331×body128invalid
Compiler

Compiled 42 to 38 computations (9.5% saved)

Profiling

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