Details

Time bar (total: 3.8s)

analyze359.0ms (9.4%)

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
21.8%78%0.1%6
26.5%73.3%0.1%7
32%67.9%0.1%8
46.4%52.7%0.9%9
50.9%47.2%1.9%10
54.3%43.3%2.4%11
62.1%32.5%5.4%12
64.3%28.1%7.6%13
66.3%24.6%9.2%14
Compiler

Compiled 13 to 11 computations (15.4% saved)

sample20.0ms (0.5%)

Algorithm
intervals
Results
10.0ms256×body128valid
1.0ms35×body128invalid
Compiler

Compiled 25 to 24 computations (4% saved)

simplify149.0ms (3.9%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
073815
173815

prune4.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 2
Compiler

Compiled 32 to 28 computations (12.5% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
0.0b
(/.f64 (+.f64 x 4) y)
2.8b
(*.f64 (/.f64 x y) z)

rewrite28.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
28×*-un-lft-identity_binary64_78
25×add-sqr-sqrt_binary64_100
22×times-frac_binary64_84
20×add-cube-cbrt_binary64_113
13×associate-*l*_binary64_19
10×add-cbrt-cube_binary64_114 add-exp-log_binary64_116
add-log-exp_binary64_117 pow1_binary64_139
associate-/l*_binary64_23 distribute-lft-out_binary64_29
associate-*r*_binary64_18 associate-*l/_binary64_21 associate-/r*_binary64_22
cbrt-unprod_binary64_111 cbrt-undiv_binary64_112 prod-exp_binary64_127 div-exp_binary64_129 div-inv_binary64_75 unswap-sqr_binary64_46 associate-/l/_binary64_25
*-commutative_binary64_9 flip-+_binary64_52 frac-sub_binary64_87 flip3--_binary64_82 diff-log_binary64_170 frac-2neg_binary64_89 flip--_binary64_53 pow-prod-down_binary64_149 clear-num_binary64_77 cancel-sign-sub-inv_binary64_44 sub-div_binary64_85 sub-neg_binary64_71 flip3-+_binary64_81
Counts
3 → 79
Calls

3 calls:

10.0ms
(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
7.0ms
(*.f64 (/.f64 x y) z)
6.0ms
(/.f64 (+.f64 x 4) y)

series378.0ms (9.9%)

Counts
3 → 33
Calls

3 calls:

215.0ms
(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
98.0ms
(*.f64 (/.f64 x y) z)
65.0ms
(/.f64 (+.f64 x 4) y)
Compiler

Compiled 750 to 631 computations (15.9% saved)

simplify75.0ms (2%)

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
050181380

prune103.0ms (2.7%)

Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1057112
Fresh011
Picked101
Done000
Total1068114

Merged error: 0.0b

Counts
114 → 8
Compiler

Compiled 1939 to 965 computations (50.2% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(-.f64 (+.f64 (/.f64 x y) (/.f64 4 y)) (*.f64 (/.f64 x y) z))
0.0b
(+.f64 (/.f64 x y) (/.f64 4 y))
2.8b
(*.f64 (/.f64 x y) z)

rewrite48.0ms (1.2%)

Algorithm
rewrite-expression-head
Rules
21×*-un-lft-identity_binary64_78
18×add-sqr-sqrt_binary64_100
16×times-frac_binary64_84
13×associate-*l*_binary64_19 add-cube-cbrt_binary64_113
10×add-log-exp_binary64_117
add-cbrt-cube_binary64_114 add-exp-log_binary64_116
pow1_binary64_139
associate-*l/_binary64_21 distribute-lft-out_binary64_29
frac-sub_binary64_87 div-inv_binary64_75 associate-*r*_binary64_18
frac-add_binary64_86 cbrt-unprod_binary64_111 prod-exp_binary64_127 flip-+_binary64_52 diff-log_binary64_170 unswap-sqr_binary64_46 sum-log_binary64_169 flip3-+_binary64_81
+-commutative_binary64_8 *-commutative_binary64_9 cbrt-undiv_binary64_112 div-exp_binary64_129 flip3--_binary64_82 distribute-rgt-out_binary64_31 associate--l+_binary64_15 flip--_binary64_53 pow-prod-down_binary64_149 cancel-sign-sub-inv_binary64_44 sub-neg_binary64_71
Counts
3 → 66
Calls

3 calls:

21.0ms
(-.f64 (+.f64 (/.f64 x y) (/.f64 4 y)) (*.f64 (/.f64 x y) z))
14.0ms
(+.f64 (/.f64 x y) (/.f64 4 y))
7.0ms
(*.f64 (/.f64 x y) z)

series413.0ms (10.8%)

Counts
3 → 33
Calls

3 calls:

216.0ms
(-.f64 (+.f64 (/.f64 x y) (/.f64 4 y)) (*.f64 (/.f64 x y) z))
101.0ms
(*.f64 (/.f64 x y) z)
95.0ms
(+.f64 (/.f64 x y) (/.f64 4 y))
Compiler

Compiled 786 to 649 computations (17.4% saved)

simplify58.0ms (1.5%)

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
049771385
149771385

prune83.0ms (2.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New99099
Fresh077
Picked011
Done000
Total998107

Merged error: 0.0b

Counts
107 → 8
Compiler

Compiled 1893 to 885 computations (53.2% saved)

localize10.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b
(-.f64 (*.f64 (+.f64 x 4) (/.f64 1 y)) (*.f64 (/.f64 x y) z))
0.1b
(*.f64 (+.f64 x 4) (/.f64 1 y))
2.8b
(*.f64 (/.f64 x y) z)

rewrite36.0ms (0.9%)

Algorithm
rewrite-expression-head
Rules
31×add-sqr-sqrt_binary64_100
22×*-un-lft-identity_binary64_78
21×times-frac_binary64_84
19×add-cube-cbrt_binary64_113
17×associate-*l*_binary64_19 add-exp-log_binary64_116
16×associate-*r*_binary64_18
13×add-cbrt-cube_binary64_114 associate-*l/_binary64_21
pow1_binary64_139
prod-exp_binary64_127 frac-sub_binary64_87
add-log-exp_binary64_117 unswap-sqr_binary64_46
cbrt-unprod_binary64_111 flip-+_binary64_52 frac-times_binary64_88 flip3-+_binary64_81
div-exp_binary64_129 un-div-inv_binary64_76 associate-*r/_binary64_20
*-commutative_binary64_9 cbrt-undiv_binary64_112 div-inv_binary64_75 pow-prod-down_binary64_149 sub-div_binary64_85
flip3--_binary64_82 diff-log_binary64_170 1-exp_binary64_122 flip--_binary64_53 rec-exp_binary64_128 cancel-sign-sub-inv_binary64_44 distribute-lft-out_binary64_29 sub-neg_binary64_71
Counts
3 → 93
Calls

3 calls:

12.0ms
(*.f64 (+.f64 x 4) (/.f64 1 y))
9.0ms
(-.f64 (*.f64 (+.f64 x 4) (/.f64 1 y)) (*.f64 (/.f64 x y) z))
7.0ms
(*.f64 (/.f64 x y) z)

series379.0ms (9.9%)

Counts
3 → 33
Calls

3 calls:

212.0ms
(-.f64 (*.f64 (+.f64 x 4) (/.f64 1 y)) (*.f64 (/.f64 x y) z))
101.0ms
(*.f64 (/.f64 x y) z)
66.0ms
(*.f64 (+.f64 x 4) (/.f64 1 y))
Compiler

Compiled 786 to 667 computations (15.1% saved)

simplify61.0ms (1.6%)

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
049541575
149541575

prune108.0ms (2.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1260126
Fresh066
Picked011
Done011
Total1268134

Merged error: 0.0b

Counts
134 → 8
Compiler

Compiled 2273 to 1203 computations (47.1% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

3.8b
(/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)

rewrite10.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt_binary64_100 add-cube-cbrt_binary64_113 times-frac_binary64_84 *-un-lft-identity_binary64_78
add-cbrt-cube_binary64_114 associate-/l*_binary64_23 associate-/r*_binary64_22 add-exp-log_binary64_116
associate-/l/_binary64_25
add-log-exp_binary64_117 cbrt-undiv_binary64_112 div-exp_binary64_129 flip3--_binary64_82 frac-2neg_binary64_89 div-inv_binary64_75 flip--_binary64_53 clear-num_binary64_77 div-sub_binary64_83 pow1_binary64_139
Counts
1 → 30
Calls

1 calls:

8.0ms
(/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)

series163.0ms (4.3%)

Counts
1 → 15
Calls

1 calls:

163.0ms
(/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)
Compiler

Compiled 300 to 257 computations (14.3% saved)

simplify55.0ms (1.4%)

Algorithm
egg-herbie
Counts
45 → 45
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
04958827
14958827

prune38.0ms (1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New42345
Fresh325
Picked101
Done112
Total47653

Merged error: 0b

Counts
53 → 6
Compiler

Compiled 715 to 378 computations (47.1% saved)

regimes248.0ms (6.5%)

Compiler

Compiled 1877 to 1466 computations (21.9% saved)

bsearch31.0ms (0.8%)

Steps
ItersRangePoint
6
1.4127633742127682e-167
1.2381095104986519e-166
1.0539544521138283e-166
6
-6.009052523144518e+23
-1.2732757422337183e+23
-2.9658671955432057e+23
Compiler

Compiled 1 to 3 computations (-200% saved)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
09766
19766

end0.0ms (0%)

sample942.0ms (24.6%)

Algorithm
intervals
Results
313.0ms8000×body128valid
45.0ms1178×body128invalid
Compiler

Compiled 422 to 325 computations (23% saved)

Profiling

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