Details

Time bar (total: 2.2s)

analyze294.0ms (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)

sample16.0ms (0.7%)

Algorithm
intervals
Results
6.0ms256×body128valid
0.0ms16×body128invalid
Compiler

Compiled 15 to 18 computations (-20% saved)

simplify163.0ms (7.4%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (4.0ms)

IterNodesCost
09810
19810

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)

localize6.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

rewrite13.0ms (0.6%)

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:

11.0ms
(*.f64 (+.f64 x y) (+.f64 z 1))

series55.0ms (2.5%)

Counts
1 → 3
Calls

1 calls:

55.0ms
(*.f64 (+.f64 x y) (+.f64 z 1))

simplify72.0ms (3.3%)

Algorithm
egg-herbie
Counts
33 → 33
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
04982502
14982502

prune27.0ms (1.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New30333
Fresh000
Picked101
Done000
Total31334

Merged error: 0b

Counts
34 → 3
Compiler

Compiled 484 to 248 computations (48.8% 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)

rewrite23.0ms (1.1%)

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:

13.0ms
(+.f64 (*.f64 (+.f64 x y) z) (+.f64 x y))
7.0ms
(*.f64 (+.f64 x y) z)

series104.0ms (4.7%)

Counts
2 → 6
Calls

2 calls:

58.0ms
(+.f64 (*.f64 (+.f64 x y) z) (+.f64 x y))
46.0ms
(*.f64 (+.f64 x y) z)

simplify68.0ms (3.1%)

Algorithm
egg-herbie
Counts
44 → 44
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
05023674

prune35.0ms (1.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New43144
Fresh112
Picked101
Done000
Total45247

Merged error: 0b

Counts
47 → 2
Compiler

Compiled 690 to 224 computations (67.5% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

rewrite13.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt_binary64_1123 *-un-lft-identity_binary64_1101
add-log-exp_binary64_1140 add-exp-log_binary64_1139 pow1_binary64_1162 add-cube-cbrt_binary64_1136 add-cbrt-cube_binary64_1137 associate-*l*_binary64_1042
associate-*r*_binary64_1041
flip3-+_binary64_1104 flip-+_binary64_1075 associate-*l/_binary64_1044
*-commutative_binary64_1032 cbrt-unprod_binary64_1134 prod-exp_binary64_1150 distribute-lft-out_binary64_1052 sum-log_binary64_1192 +-commutative_binary64_1031 pow-prod-down_binary64_1172 unswap-sqr_binary64_1069
Counts
2 → 32
Calls

2 calls:

7.0ms
(*.f64 (+.f64 x y) z)
4.0ms
(+.f64 x (*.f64 (+.f64 x y) z))

series88.0ms (4%)

Counts
2 → 6
Calls

2 calls:

45.0ms
(+.f64 x (*.f64 (+.f64 x y) z))
43.0ms
(*.f64 (+.f64 x y) z)

simplify52.0ms (2.4%)

Algorithm
egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
05016437

prune24.0ms (1.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New38038
Fresh011
Picked011
Done000
Total38240

Merged error: 0b

Counts
40 → 2
Compiler

Compiled 535 to 157 computations (70.7% saved)

localize8.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b
(*.f64 (+.f64 x y) (+.f64 z 1))
0.1b
(pow.f64 (*.f64 (+.f64 x y) (+.f64 z 1)) 3)
41.6b
(cbrt.f64 (pow.f64 (*.f64 (+.f64 x y) (+.f64 z 1)) 3))

rewrite32.0ms (1.5%)

Algorithm
rewrite-expression-head
Rules
18×flip3-+_binary64_1104 flip-+_binary64_1075
16×cube-div_binary64_1130
12×frac-times_binary64_1111
11×*-un-lft-identity_binary64_1101
add-sqr-sqrt_binary64_1123
add-exp-log_binary64_1139 pow1_binary64_1162 add-cbrt-cube_binary64_1137 cbrt-prod_binary64_1132 cbrt-div_binary64_1133
add-cube-cbrt_binary64_1136
associate-*r/_binary64_1043 associate-*l/_binary64_1044
associate-*r*_binary64_1041 associate-*l*_binary64_1042
add-log-exp_binary64_1140 pow-unpow_binary64_1178
pow-exp_binary64_1169 cube-prod_binary64_1129 cube-mult_binary64_1131 rem-cube-cbrt_binary64_1124 cbrt-unprod_binary64_1134 unpow-prod-down_binary64_1180 prod-exp_binary64_1150 pow-pow_binary64_1173 distribute-lft-out_binary64_1052 unpow3_binary64_1167 pow-prod-down_binary64_1172 sqr-pow_binary64_1073
*-commutative_binary64_1032 pow1/3_binary64_1183 distribute-lft-in_binary64_1050 unswap-sqr_binary64_1069 pow-to-exp_binary64_1170 distribute-rgt-in_binary64_1051 rem-cbrt-cube_binary64_1125
Counts
3 → 85
Calls

3 calls:

10.0ms
(*.f64 (+.f64 x y) (+.f64 z 1))
10.0ms
(pow.f64 (*.f64 (+.f64 x y) (+.f64 z 1)) 3)
4.0ms
(cbrt.f64 (pow.f64 (*.f64 (+.f64 x y) (+.f64 z 1)) 3))

series289.0ms (13.2%)

Counts
3 → 9
Calls

3 calls:

170.0ms
(pow.f64 (*.f64 (+.f64 x y) (+.f64 z 1)) 3)
63.0ms
(cbrt.f64 (pow.f64 (*.f64 (+.f64 x y) (+.f64 z 1)) 3))
56.0ms
(*.f64 (+.f64 x y) (+.f64 z 1))

simplify61.0ms (2.8%)

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
058521676

prune79.0ms (3.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New94094
Fresh000
Picked011
Done011
Total94296

Merged error: 0b

Counts
96 → 2
Compiler

Compiled 1574 to 876 computations (44.3% saved)

regimes126.0ms (5.7%)

Compiler

Compiled 648 to 606 computations (6.5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01213
11213

end0.0ms (0%)

sample527.0ms (24.1%)

Algorithm
intervals
Results
196.0ms7996×body128valid
13.0ms582×body128invalid
0.0msbody256valid
0.0msbody1024valid
0.0msbody512valid
Compiler

Compiled 98 to 89 computations (9.2% saved)

Profiling

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