Details

Time bar (total: 2.6s)

analyze282.0ms (10.8%)

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)

sample16.0ms (0.6%)

Algorithm
intervals
Results
7.0ms256×body128valid
1.0ms42×body128invalid
Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify112.0ms (4.3%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (19.0ms)

IterNodesCost
035710
135710

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)

localize9.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

rewrite19.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
22×*-un-lft-identity_binary64_78
20×add-sqr-sqrt_binary64_100
15×times-frac_binary64_84
12×add-cube-cbrt_binary64_113
associate-/l*_binary64_23
add-cbrt-cube_binary64_114 add-log-exp_binary64_117 distribute-lft-out--_binary64_30 add-exp-log_binary64_116 difference-of-squares_binary64_47
associate-/r*_binary64_22
div-sub_binary64_83 associate-/l/_binary64_25 pow1_binary64_139
+-commutative_binary64_8 associate-+r-_binary64_12 cbrt-undiv_binary64_112 div-exp_binary64_129 flip-+_binary64_52 flip3--_binary64_82 frac-2neg_binary64_89 div-inv_binary64_75 flip--_binary64_53 clear-num_binary64_77 distribute-lft-out_binary64_29 sum-log_binary64_169 flip3-+_binary64_81
Counts
2 → 51
Calls

2 calls:

9.0ms
(+.f64 x (/.f64 (-.f64 y x) z))
6.0ms
(/.f64 (-.f64 y x) z)

series268.0ms (10.3%)

Counts
2 → 32
Calls

2 calls:

152.0ms
(+.f64 x (/.f64 (-.f64 y x) z))
116.0ms
(/.f64 (-.f64 y x) z)
Compiler

Compiled 424 to 369 computations (13% saved)

simplify59.0ms (2.3%)

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
049731011
149731011

prune53.0ms (2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New81283
Fresh000
Picked101
Done000
Total82284

Merged error: 0b

Counts
84 → 2
Compiler

Compiled 947 to 274 computations (71.1% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite39.0ms (1.5%)

Algorithm
rewrite-expression-head
Rules
31×*-un-lft-identity_binary64_78
30×add-sqr-sqrt_binary64_100
28×times-frac_binary64_84
26×cancel-sign-sub-inv_binary64_44
18×add-cube-cbrt_binary64_113
14×associate-+r+_binary64_10
add-log-exp_binary64_117
distribute-lft-out--_binary64_30
div-inv_binary64_75 difference-of-squares_binary64_47
add-cbrt-cube_binary64_114 diff-log_binary64_170 add-exp-log_binary64_116 distribute-lft-out_binary64_29 sub-neg_binary64_71 pow1_binary64_139 sum-log_binary64_169
+-commutative_binary64_8 associate-+r-_binary64_12 flip-+_binary64_52 frac-sub_binary64_87 flip3--_binary64_82 flip--_binary64_53 sub-div_binary64_85 distribute-rgt-out--_binary64_32 flip3-+_binary64_81
Counts
2 → 64
Calls

2 calls:

18.0ms
(+.f64 x (-.f64 (/.f64 y z) (/.f64 x z)))
15.0ms
(-.f64 (/.f64 y z) (/.f64 x z))

series281.0ms (10.8%)

Counts
2 → 32
Calls

2 calls:

145.0ms
(+.f64 x (-.f64 (/.f64 y z) (/.f64 x z)))
136.0ms
(-.f64 (/.f64 y z) (/.f64 x z))
Compiler

Compiled 424 to 369 computations (13% saved)

simplify90.0ms (3.5%)

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 0 (74.0ms)

IterNodesCost
049011033
149011033

prune50.0ms (1.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New96096
Fresh011
Picked011
Done000
Total96298

Merged error: 0b

Counts
98 → 2
Compiler

Compiled 1150 to 290 computations (74.8% saved)

localize11.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b
(*.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 (-.f64 y x)))
0.6b
(cbrt.f64 (-.f64 y x))
0.6b
(cbrt.f64 (-.f64 y x))
0.6b
(cbrt.f64 (-.f64 y x))

rewrite32.0ms (1.2%)

Algorithm
rewrite-expression-head
Rules
43×cbrt-prod_binary64_109
37×add-sqr-sqrt_binary64_100
35×*-un-lft-identity_binary64_78
18×cbrt-div_binary64_110
15×add-cube-cbrt_binary64_113
11×pow1_binary64_139
10×swap-sqr_binary64_45
distribute-lft-out--_binary64_30 flip3--_binary64_82 pow1/3_binary64_160 flip--_binary64_53
associate-*l*_binary64_19 associate-*r*_binary64_18
difference-of-squares_binary64_47
add-exp-log_binary64_116
add-cbrt-cube_binary64_114 add-log-exp_binary64_117 frac-times_binary64_88 unswap-sqr_binary64_46
pow-sqr_binary64_51 pow-prod-up_binary64_148 associate-*l/_binary64_21 pow-prod-down_binary64_149 associate-*r/_binary64_20
pow2_binary64_159 *-commutative_binary64_9 cbrt-unprod_binary64_111 prod-exp_binary64_127 pow-plus_binary64_141
Counts
4 → 101
Calls

4 calls:

12.0ms
(*.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 (-.f64 y x)))
3.0ms
(cbrt.f64 (-.f64 y x))
3.0ms
(cbrt.f64 (-.f64 y x))
3.0ms
(cbrt.f64 (-.f64 y x))

series418.0ms (16.1%)

Counts
4 → 42
Calls

4 calls:

128.0ms
(*.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 (-.f64 y x)))
97.0ms
(cbrt.f64 (-.f64 y x))
96.0ms
(cbrt.f64 (-.f64 y x))
96.0ms
(cbrt.f64 (-.f64 y x))
Compiler

Compiled 1935 to 1485 computations (23.3% saved)

simplify68.0ms (2.6%)

Algorithm
egg-herbie
Counts
143 → 143
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
049601966
149601966

prune115.0ms (4.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1430143
Fresh000
Picked011
Done011
Total1432145

Merged error: 0b

Counts
145 → 2
Compiler

Compiled 3236 to 846 computations (73.9% saved)

regimes71.0ms (2.8%)

Compiler

Compiled 368 to 302 computations (17.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02613
12613

end0.0ms (0%)

sample594.0ms (22.9%)

Algorithm
intervals
Results
215.0ms8000×body128valid
37.0ms1452×body128invalid
Compiler

Compiled 104 to 85 computations (18.3% saved)

Profiling

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