Details

Time bar (total: 3.8s)

analyze494.0ms (13.2%)

Algorithm
search
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0486640
1486640
033
133
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
9.4%90.5%0.1%6
14%85.8%0.1%7
22.6%77.2%0.1%8
37.8%60.5%1.7%9
40%56%4%10
47.3%48.7%4%11
56.8%36.2%7%12
58.6%32.4%9%13
63.4%27.5%9%14
Compiler

Compiled 8 to 7 computations (12.5% saved)

sample19.0ms (0.5%)

Algorithm
intervals
Results
6.0ms256×body128valid
1.0ms28×body128invalid
Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify143.0ms (3.8%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (137.0ms)

IterNodesCost
0486410
1486410

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
10.2b
Counts
2 → 1
Compiler

Compiled 14 to 12 computations (14.3% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 x (-.f64 y z))
9.7b
(/.f64 (*.f64 x (-.f64 y z)) y)

rewrite59.0ms (1.6%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
12×add-sqr-sqrt_binary64_18855
10×*-un-lft-identity_binary64_18833
add-exp-log_binary64_18871 add-cbrt-cube_binary64_18869
add-cube-cbrt_binary64_18868
cancel-sign-sub-inv_binary64_18799
associate-*r*_binary64_18773
pow1_binary64_18894 associate-*r/_binary64_18775 distribute-rgt-in_binary64_18783 distribute-lft-in_binary64_18782
times-frac_binary64_18839 associate-/r*_binary64_18777 associate-*l*_binary64_18774
prod-exp_binary64_18882 div-exp_binary64_18884 add-log-exp_binary64_18872 cbrt-undiv_binary64_18867 cbrt-unprod_binary64_18866 flip3--_binary64_18837 associate-/l/_binary64_18780 flip--_binary64_18808 sub-neg_binary64_18826
frac-2neg_binary64_18844 clear-num_binary64_18832 div-inv_binary64_18830 associate-/l*_binary64_18778 pow-prod-down_binary64_18904 unswap-sqr_binary64_18801 difference-of-squares_binary64_18802 distribute-lft-out--_binary64_18785 *-commutative_binary64_18764
Counts
2 → 53
Calls

2 calls:

7.0ms
(/.f64 (*.f64 x (-.f64 y z)) y)
7.0ms
(*.f64 x (-.f64 y z))
Compiler

Compiled 710 to 208 computations (70.7% saved)

series232.0ms (6.2%)

Error
2.9b
Counts
2 → 30
Calls

2 calls:

129.0ms
(/.f64 (*.f64 x (-.f64 y z)) y)
88.0ms
(*.f64 x (-.f64 y z))
Compiler

Compiled 534 to 322 computations (39.7% saved)

simplify55.0ms (1.5%)

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
05062790

prune55.0ms (1.5%)

Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New75883
Fresh000
Picked101
Done000
Total76884
Error
0b
Counts
84 → 8
Compiler

Compiled 873 to 225 computations (74.2% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 y (-.f64 y z))
2.6b
(/.f64 x (/.f64 y (-.f64 y z)))

rewrite116.0ms (3.1%)

Algorithm
rewrite-expression-head
Error
0b
Rules
138×times-frac_binary64_18839
102×add-sqr-sqrt_binary64_18855 *-un-lft-identity_binary64_18833
70×add-cube-cbrt_binary64_18868
26×associate-/r*_binary64_18777
16×difference-of-squares_binary64_18802 distribute-lft-out--_binary64_18785
11×associate-/r/_binary64_18779
add-exp-log_binary64_18871 add-cbrt-cube_binary64_18869
div-inv_binary64_18830 associate-/l*_binary64_18778
flip3--_binary64_18837 flip--_binary64_18808
div-exp_binary64_18884 cbrt-undiv_binary64_18867
pow1_binary64_18894 add-log-exp_binary64_18872 frac-2neg_binary64_18844 clear-num_binary64_18832
Counts
2 → 139
Calls

2 calls:

10.0ms
(/.f64 x (/.f64 y (-.f64 y z)))
5.0ms
(/.f64 y (-.f64 y z))
Compiler

Compiled 2456 to 567 computations (76.9% saved)

series250.0ms (6.7%)

Error
0b
Counts
2 → 39
Calls

2 calls:

146.0ms
(/.f64 x (/.f64 y (-.f64 y z)))
77.0ms
(/.f64 y (-.f64 y z))
Compiler

Compiled 963 to 692 computations (28.1% saved)

simplify94.0ms (2.5%)

Algorithm
egg-herbie
Counts
178 → 178
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
049823299
149823299

prune108.0ms (2.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1762178
Fresh437
Picked011
Done000
Total1806186
Error
0b
Counts
186 → 6
Compiler

Compiled 2673 to 572 computations (78.6% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b
(-.f64 x (/.f64 (*.f64 x z) y))
5.8b
(/.f64 (*.f64 x z) y)

rewrite39.0ms (1%)

Algorithm
rewrite-expression-head
Error
0b
Rules
add-sqr-sqrt_binary64_18855 *-un-lft-identity_binary64_18833
add-exp-log_binary64_18871 add-cbrt-cube_binary64_18869 cancel-sign-sub-inv_binary64_18799
add-cube-cbrt_binary64_18868 times-frac_binary64_18839
add-log-exp_binary64_18872
associate-/r*_binary64_18777
pow1_binary64_18894 div-exp_binary64_18884 cbrt-undiv_binary64_18867 div-inv_binary64_18830
prod-exp_binary64_18882 cbrt-unprod_binary64_18866 frac-2neg_binary64_18844 clear-num_binary64_18832 associate-/l*_binary64_18778 diff-log_binary64_18925 flip3--_binary64_18837 sub-neg_binary64_18826 flip--_binary64_18808 difference-of-squares_binary64_18802 distribute-lft-out--_binary64_18785
Counts
2 → 41
Calls

2 calls:

6.0ms
(-.f64 x (/.f64 (*.f64 x z) y))
5.0ms
(/.f64 (*.f64 x z) y)
Compiler

Compiled 559 to 160 computations (71.4% saved)

series211.0ms (5.6%)

Error
0b
Counts
2 → 24
Calls

2 calls:

115.0ms
(-.f64 x (/.f64 (*.f64 x z) y))
87.0ms
(/.f64 (*.f64 x z) y)
Compiler

Compiled 432 to 280 computations (35.2% saved)

simplify82.0ms (2.2%)

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 0 (69.0ms)

IterNodesCost
04969671
14969671

prune34.0ms (0.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New65065
Fresh044
Picked011
Done011
Total65671
Error
0b
Counts
71 → 6
Compiler

Compiled 642 to 149 computations (76.8% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 x (-.f64 y z))
9.8b
(*.f64 (*.f64 x (-.f64 y z)) (/.f64 1 y))

rewrite75.0ms (2%)

Algorithm
rewrite-expression-head
Error
0b
Rules
26×add-exp-log_binary64_18871
18×associate-*r*_binary64_18773
17×add-sqr-sqrt_binary64_18855
16×add-cbrt-cube_binary64_18869
15×*-un-lft-identity_binary64_18833
13×prod-exp_binary64_18882 add-cube-cbrt_binary64_18868
pow1_binary64_18894 times-frac_binary64_18839
cbrt-unprod_binary64_18866 associate-*r/_binary64_18775
cancel-sign-sub-inv_binary64_18799
pow-prod-down_binary64_18904 div-exp_binary64_18884 associate-*l*_binary64_18774 distribute-rgt-in_binary64_18783 distribute-lft-in_binary64_18782
flip3--_binary64_18837 flip--_binary64_18808
1-exp_binary64_18877 rec-exp_binary64_18883 add-log-exp_binary64_18872 cbrt-undiv_binary64_18867 frac-times_binary64_18843 associate-*l/_binary64_18776 *-commutative_binary64_18764 sub-neg_binary64_18826
un-div-inv_binary64_18831 div-inv_binary64_18830 unswap-sqr_binary64_18801 difference-of-squares_binary64_18802 distribute-lft-out--_binary64_18785
Counts
2 → 72
Calls

2 calls:

11.0ms
(*.f64 (*.f64 x (-.f64 y z)) (/.f64 1 y))
7.0ms
(*.f64 x (-.f64 y z))
Compiler

Compiled 1161 to 486 computations (58.1% saved)

series256.0ms (6.8%)

Error
0b
Counts
2 → 30
Calls

2 calls:

148.0ms
(*.f64 (*.f64 x (-.f64 y z)) (/.f64 1 y))
96.0ms
(*.f64 x (-.f64 y z))
Compiler

Compiled 612 to 410 computations (33% saved)

simplify55.0ms (1.5%)

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
050391058

prune54.0ms (1.4%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1020102
Fresh033
Picked011
Done022
Total1026108
Error
0b
Counts
108 → 6
Compiler

Compiled 1135 to 357 computations (68.5% saved)

regimes304.0ms (8.1%)

Accuracy

Total 2.5b remaining (99.8%)

Threshold costs 0b (0%)

Compiler

Compiled 1756 to 1267 computations (27.8% saved)

bsearch25.0ms (0.7%)

Steps
ItersRangePoint
2
4.14930907169543e-121
4.952245858350899e-121
4.851878760018965e-121
8
-7.427875099322688e-252
-3.060856056687515e-256
-2.7298228372545172e-254
Compiler

Compiled 1 to 3 computations (-200% saved)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05942
15942

end0.0ms (0%)

sample967.0ms (25.8%)

Algorithm
intervals
Results
215.0ms8000×body128valid
18.0ms740×body128invalid
Compiler

Compiled 471 to 336 computations (28.7% saved)

Profiling

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