Details

Time bar (total: 3.6s)

analyze721.0ms (20.2%)

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
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)

sample18.0ms (0.5%)

Algorithm
intervals
Results
8.0ms256×body128valid
1.0ms17×body128invalid
Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify248.0ms (6.9%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (145.0ms)

IterNodesCost
0486410
1486410

prune4.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
13.2b
Counts
2 → 1
Compiler

Compiled 14 to 12 computations (14.3% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 x (-.f64 y z))
12.6b
(/.f64 (*.f64 x (-.f64 y z)) y)

rewrite19.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt_binary64_13058
10×*-un-lft-identity_binary64_13036
add-cbrt-cube_binary64_13072 add-exp-log_binary64_13074
add-cube-cbrt_binary64_13071
cancel-sign-sub-inv_binary64_13002
associate-*r*_binary64_12976
distribute-rgt-in_binary64_12986 distribute-lft-in_binary64_12985 pow1_binary64_13097 associate-*r/_binary64_12978
associate-*l*_binary64_12977 associate-/r*_binary64_12980 times-frac_binary64_13042
flip--_binary64_13011 cbrt-undiv_binary64_13070 add-log-exp_binary64_13075 sub-neg_binary64_13029 flip3--_binary64_13040 div-exp_binary64_13087 prod-exp_binary64_13085 cbrt-unprod_binary64_13069 associate-/l/_binary64_12983
clear-num_binary64_13035 unswap-sqr_binary64_13004 div-inv_binary64_13033 distribute-lft-out--_binary64_12988 difference-of-squares_binary64_13005 associate-/l*_binary64_12981 *-commutative_binary64_12967 frac-2neg_binary64_13047 pow-prod-down_binary64_13107
Counts
2 → 53
Calls

2 calls:

9.0ms
(/.f64 (*.f64 x (-.f64 y z)) y)
7.0ms
(*.f64 x (-.f64 y z))

series107.0ms (3%)

Counts
2 → 6
Calls

2 calls:

76.0ms
(/.f64 (*.f64 x (-.f64 y z)) y)
31.0ms
(*.f64 x (-.f64 y z))

simplify84.0ms (2.3%)

Algorithm
egg-herbie
Counts
59 → 59
Iterations

Useful iterations: 0 (72.0ms)

IterNodesCost
05450626

prune57.0ms (1.6%)

Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New54559
Fresh000
Picked101
Done000
Total55560
Error
0b
Counts
60 → 5
Compiler

Compiled 695 to 189 computations (72.8% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 y (-.f64 y z))
3.7b
(/.f64 x (/.f64 y (-.f64 y z)))

rewrite26.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
138×times-frac_binary64_13042
102×*-un-lft-identity_binary64_13036 add-sqr-sqrt_binary64_13058
70×add-cube-cbrt_binary64_13071
26×associate-/r*_binary64_12980
16×distribute-lft-out--_binary64_12988 difference-of-squares_binary64_13005
11×associate-/r/_binary64_12982
add-cbrt-cube_binary64_13072 add-exp-log_binary64_13074
div-inv_binary64_13033 associate-/l*_binary64_12981
flip--_binary64_13011 flip3--_binary64_13040
cbrt-undiv_binary64_13070 div-exp_binary64_13087
clear-num_binary64_13035 add-log-exp_binary64_13075 pow1_binary64_13097 frac-2neg_binary64_13047
Counts
2 → 139
Calls

2 calls:

9.0ms
(/.f64 x (/.f64 y (-.f64 y z)))
5.0ms
(/.f64 y (-.f64 y z))

series119.0ms (3.3%)

Counts
2 → 6
Calls

2 calls:

82.0ms
(/.f64 x (/.f64 y (-.f64 y z)))
37.0ms
(/.f64 y (-.f64 y z))

simplify123.0ms (3.4%)

Algorithm
egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 0 (74.0ms)

IterNodesCost
054242833

prune128.0ms (3.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1450145
Fresh044
Picked011
Done000
Total1455150
Error
0b
Counts
150 → 5
Compiler

Compiled 2309 to 432 computations (81.3% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 (-.f64 y z) y)
4.4b
(*.f64 x (/.f64 (-.f64 y z) y))

rewrite40.0ms (1.1%)

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt_binary64_13058
36×*-un-lft-identity_binary64_13036
31×times-frac_binary64_13042
22×add-cube-cbrt_binary64_13071
19×associate-*r*_binary64_12976
add-cbrt-cube_binary64_13072 add-exp-log_binary64_13074
distribute-lft-out--_binary64_12988 difference-of-squares_binary64_13005
associate-/l*_binary64_12981
pow1_binary64_13097
associate-*l*_binary64_12977 associate-/r*_binary64_12980
cbrt-undiv_binary64_13070 add-log-exp_binary64_13075 unswap-sqr_binary64_13004 div-inv_binary64_13033 div-exp_binary64_13087 prod-exp_binary64_13085 cbrt-unprod_binary64_13069 associate-/l/_binary64_12983
flip--_binary64_13011 clear-num_binary64_13035 div-sub_binary64_13041 flip3--_binary64_13040 associate-*r/_binary64_12978 *-commutative_binary64_12967 frac-2neg_binary64_13047 pow-prod-down_binary64_13107
Counts
2 → 76
Calls

2 calls:

16.0ms
(/.f64 (-.f64 y z) y)
14.0ms
(*.f64 x (/.f64 (-.f64 y z) y))

series74.0ms (2.1%)

Counts
2 → 6
Calls

2 calls:

47.0ms
(*.f64 x (/.f64 (-.f64 y z) y))
27.0ms
(/.f64 (-.f64 y z) y)

simplify96.0ms (2.7%)

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 0 (71.0ms)

IterNodesCost
052401068

prune77.0ms (2.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New82082
Fresh033
Picked011
Done011
Total82587
Error
0b
Counts
87 → 5
Compiler

Compiled 1099 to 248 computations (77.4% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

1.5b
(+.f64 (*.f64 x y) (*.f64 x (neg.f64 z)))
12.6b
(/.f64 (+.f64 (*.f64 x y) (*.f64 x (neg.f64 z))) y)

rewrite13.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
12×times-frac_binary64_13042
11×*-un-lft-identity_binary64_13036 add-sqr-sqrt_binary64_13058 add-cube-cbrt_binary64_13071
distribute-lft-out_binary64_12987
add-log-exp_binary64_13075 add-cbrt-cube_binary64_13072 associate-/l*_binary64_12981 add-exp-log_binary64_13074
associate-/r*_binary64_12980
flip3-+_binary64_13039 pow1_binary64_13097 flip-+_binary64_13010 unsub-neg_binary64_13030 distribute-rgt-neg-out_binary64_12996 associate-/l/_binary64_12983
clear-num_binary64_13035 cbrt-undiv_binary64_13070 div-sub_binary64_13041 div-inv_binary64_13033 div-exp_binary64_13087 frac-2neg_binary64_13047 sum-log_binary64_13127 +-commutative_binary64_12966
Counts
2 → 47
Calls

2 calls:

6.0ms
(/.f64 (+.f64 (*.f64 x y) (*.f64 x (neg.f64 z))) y)
4.0ms
(+.f64 (*.f64 x y) (*.f64 x (neg.f64 z)))

series123.0ms (3.4%)

Counts
2 → 6
Calls

2 calls:

74.0ms
(/.f64 (+.f64 (*.f64 x y) (*.f64 x (neg.f64 z))) y)
49.0ms
(+.f64 (*.f64 x y) (*.f64 x (neg.f64 z)))

simplify102.0ms (2.8%)

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 0 (82.0ms)

IterNodesCost
04988760
14988760

prune51.0ms (1.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New53053
Fresh022
Picked011
Done022
Total53558
Error
0b
Counts
58 → 5
Compiler

Compiled 716 to 156 computations (78.2% saved)

regimes305.0ms (8.5%)

Accuracy

Total 0.3b remaining (99.3%)

Threshold costs 0.3b (99.3%)

Compiler

Compiled 774 to 550 computations (28.9% saved)

bsearch1.0ms (0%)

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify4.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
087110
187110

end0.0ms (0%)

sample1.0s (28.3%)

Algorithm
intervals
Results
310.0ms8000×body128valid
32.0ms767×body128invalid
Compiler

Compiled 282 to 172 computations (39% saved)

Profiling

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