Details

Time bar (total: 2.2s)

analyze300.0ms (13.4%)

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
0%99.9%0.1%6
21.8%78%0.1%7
26.5%73.3%0.1%8
36.7%63.2%0.1%9
41.3%49.9%8.7%10
47.2%43.3%9.5%11
54.4%35.5%10.1%12
57.9%27.4%14.7%13
61.7%23.2%15.1%14
Compiler

Compiled 8 to 8 computations (0% saved)

sample17.0ms (0.8%)

Algorithm
intervals
Results
9.0ms256×body128valid
0.0ms15×body128invalid
Compiler

Compiled 15 to 18 computations (-20% saved)

simplify102.0ms (4.6%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (4.0ms)

IterNodesCost
010410
110410

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 14 computations (0% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b
(*.f64 (+.f64 x y) (+.f64 z 1))

rewrite12.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity_binary64_1101
flip3-+_binary64_1104 flip-+_binary64_1075
add-sqr-sqrt_binary64_1123
frac-times_binary64_1111 associate-*r*_binary64_1041 associate-*l*_binary64_1042
add-exp-log_binary64_1139 pow1_binary64_1162 add-cube-cbrt_binary64_1136 add-cbrt-cube_binary64_1137
distribute-lft-out_binary64_1052 associate-*r/_binary64_1043 associate-*l/_binary64_1044
*-commutative_binary64_1032 cbrt-unprod_binary64_1134 add-log-exp_binary64_1140 prod-exp_binary64_1150 distribute-lft-in_binary64_1050 pow-prod-down_binary64_1172 unswap-sqr_binary64_1069 distribute-rgt-in_binary64_1051
Counts
1 → 30
Calls

1 calls:

10.0ms
(*.f64 (+.f64 x y) (+.f64 z 1))

series113.0ms (5%)

Counts
1 → 18
Calls

1 calls:

113.0ms
(*.f64 (+.f64 x y) (+.f64 z 1))
Compiler

Compiled 263 to 216 computations (17.9% saved)

simplify63.0ms (2.8%)

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
05018654

prune35.0ms (1.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New46248
Fresh000
Picked011
Done000
Total46349

Merged error: 0b

Counts
49 → 3
Compiler

Compiled 580 to 287 computations (50.5% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 (*.f64 (+.f64 x y) z) (+.f64 x y))
0.0b
(*.f64 (+.f64 x y) z)

rewrite19.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
add-log-exp_binary64_1140
add-sqr-sqrt_binary64_1123 *-un-lft-identity_binary64_1101 flip3-+_binary64_1104 flip-+_binary64_1075 associate-*l/_binary64_1044
add-exp-log_binary64_1139 pow1_binary64_1162 add-cube-cbrt_binary64_1136 add-cbrt-cube_binary64_1137 associate-*l*_binary64_1042 frac-add_binary64_1109
sum-log_binary64_1192 associate-*r*_binary64_1041
*-commutative_binary64_1032 cbrt-unprod_binary64_1134 prod-exp_binary64_1150 distribute-lft-out_binary64_1052 associate-+r+_binary64_1033 +-commutative_binary64_1031 pow-prod-down_binary64_1172 unswap-sqr_binary64_1069
Counts
2 → 38
Calls

2 calls:

9.0ms
(+.f64 (*.f64 (+.f64 x y) z) (+.f64 x y))
6.0ms
(*.f64 (+.f64 x y) z)

series227.0ms (10.2%)

Counts
2 → 33
Calls

2 calls:

137.0ms
(+.f64 (*.f64 (+.f64 x y) z) (+.f64 x y))
90.0ms
(*.f64 (+.f64 x y) z)
Compiler

Compiled 499 to 390 computations (21.8% saved)

simplify63.0ms (2.8%)

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
05018916

prune44.0ms (2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New71071
Fresh011
Picked011
Done011
Total71374

Merged error: 0b

Counts
74 → 3
Compiler

Compiled 901 to 279 computations (69% saved)

localize7.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b
(sqrt.f64 (+.f64 z 1))
0.0b
(sqrt.f64 (+.f64 z 1))
0.0b
(*.f64 (*.f64 (+.f64 x y) (sqrt.f64 (+.f64 z 1))) (sqrt.f64 (+.f64 z 1)))
0.1b
(*.f64 (+.f64 x y) (sqrt.f64 (+.f64 z 1)))

rewrite45.0ms (2%)

Algorithm
rewrite-expression-head
Rules
46×sqrt-div_binary64_1118
35×flip3-+_binary64_1104 flip-+_binary64_1075
32×frac-times_binary64_1111
21×*-un-lft-identity_binary64_1101
17×add-sqr-sqrt_binary64_1123 sqrt-prod_binary64_1117
16×associate-*l/_binary64_1044
14×associate-*r*_binary64_1041
13×pow1_binary64_1162
11×add-exp-log_binary64_1139 add-cube-cbrt_binary64_1136 add-cbrt-cube_binary64_1137
10×associate-*r/_binary64_1043
distribute-lft-out_binary64_1052 associate-*l*_binary64_1042
cbrt-unprod_binary64_1134 add-log-exp_binary64_1140 prod-exp_binary64_1150 pow-prod-down_binary64_1172
*-commutative_binary64_1032 rem-sqrt-square_binary64_1114 sqrt-pow1_binary64_1119 unswap-sqr_binary64_1069 pow1/2_binary64_1181
Counts
4 → 112
Calls

4 calls:

16.0ms
(*.f64 (*.f64 (+.f64 x y) (sqrt.f64 (+.f64 z 1))) (sqrt.f64 (+.f64 z 1)))
10.0ms
(*.f64 (+.f64 x y) (sqrt.f64 (+.f64 z 1)))
4.0ms
(sqrt.f64 (+.f64 z 1))
3.0ms
(sqrt.f64 (+.f64 z 1))

series295.0ms (13.2%)

Counts
4 → 48
Calls

4 calls:

155.0ms
(*.f64 (+.f64 x y) (sqrt.f64 (+.f64 z 1)))
109.0ms
(*.f64 (*.f64 (+.f64 x y) (sqrt.f64 (+.f64 z 1))) (sqrt.f64 (+.f64 z 1)))
16.0ms
(sqrt.f64 (+.f64 z 1))
16.0ms
(sqrt.f64 (+.f64 z 1))
Compiler

Compiled 1053 to 900 computations (14.5% saved)

simplify101.0ms (4.5%)

Algorithm
egg-herbie
Counts
160 → 160
Iterations

Useful iterations: 0 (72.0ms)

IterNodesCost
049382671
149382671

prune147.0ms (6.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1600160
Fresh000
Picked011
Done022
Total1603163

Merged error: 0b

Counts
163 → 3
Compiler

Compiled 2859 to 1700 computations (40.5% saved)

regimes86.0ms (3.9%)

Compiler

Compiled 356 to 356 computations (0% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01210
11210

end0.0ms (0%)

sample543.0ms (24.3%)

Algorithm
intervals
Results
211.0ms8000×body128valid
16.0ms624×body128invalid
Compiler

Compiled 69 to 69 computations (0% saved)

Profiling

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