Details

Time bar (total: 1.7s)

analyze2.0ms (0.1%)

Algorithm
search
Search
TrueOtherFalseIter
0%0%100%0
0%0%100%1
Compiler

Compiled 16 to 11 computations (31.3% saved)

sample16.0ms (1%)

Algorithm
intervals
Results
6.0ms256×pre128true
4.0ms256×body128valid
Compiler

Compiled 23 to 17 computations (26.1% saved)

simplify166.0ms (9.8%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
07010
17010

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 8 computations (42.9% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b
(*.f64 (+.f64 a b) (+.f64 a b))

rewrite14.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity_binary64_1111
pow1_binary64_1172
add-sqr-sqrt_binary64_1133
flip-+_binary64_1085 flip3-+_binary64_1114 swap-sqr_binary64_1078 distribute-lft-out_binary64_1062
add-cube-cbrt_binary64_1146
frac-times_binary64_1121 associate-*r*_binary64_1051 associate-*l*_binary64_1052
add-cbrt-cube_binary64_1147 add-exp-log_binary64_1149
associate-*l/_binary64_1054 associate-*r/_binary64_1053
*-commutative_binary64_1042 pow-prod-up_binary64_1181 prod-exp_binary64_1160 cbrt-unprod_binary64_1144 distribute-lft-in_binary64_1060 pow-plus_binary64_1174 pow-sqr_binary64_1084 pow-prod-down_binary64_1182 unswap-sqr_binary64_1079 add-log-exp_binary64_1150 pow2_binary64_1192 distribute-rgt-in_binary64_1061
Counts
1 → 40
Calls

1 calls:

10.0ms
(*.f64 (+.f64 a b) (+.f64 a b))

series28.0ms (1.6%)

Counts
1 → 3
Calls

1 calls:

28.0ms
(*.f64 (+.f64 a b) (+.f64 a b))

simplify39.0ms (2.3%)

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 0 (28.0ms)

IterNodesCost
05458523

prune45.0ms (2.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New41243
Fresh000
Picked101
Done000
Total42244

Merged error: 0.0b

Counts
44 → 2
Compiler

Compiled 682 to 306 computations (55.1% saved)

localize6.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b
(*.f64 b (+.f64 a b))
0.0b
(*.f64 a (+.f64 a b))
0.0b
(+.f64 (*.f64 a (+.f64 a b)) (*.f64 b (+.f64 a b)))

rewrite28.0ms (1.7%)

Algorithm
rewrite-expression-head
Rules
12×associate-*r/_binary64_1053
11×*-un-lft-identity_binary64_1111 add-sqr-sqrt_binary64_1133
associate-*r*_binary64_1051
add-cbrt-cube_binary64_1147 flip-+_binary64_1085 add-cube-cbrt_binary64_1146 flip3-+_binary64_1114 pow1_binary64_1172 add-exp-log_binary64_1149
associate-*l*_binary64_1052
add-log-exp_binary64_1150
distribute-lft-in_binary64_1060 frac-add_binary64_1119 distribute-rgt-in_binary64_1061
*-commutative_binary64_1042 prod-exp_binary64_1160 cbrt-unprod_binary64_1144 associate-+l+_binary64_1044 pow-prod-down_binary64_1182 unswap-sqr_binary64_1079 distribute-lft-out_binary64_1062 associate-+r+_binary64_1043
distribute-rgt-out_binary64_1064 +-commutative_binary64_1041 sum-log_binary64_1202
Counts
3 → 66
Calls

3 calls:

9.0ms
(+.f64 (*.f64 a (+.f64 a b)) (*.f64 b (+.f64 a b)))
7.0ms
(*.f64 b (+.f64 a b))
7.0ms
(*.f64 a (+.f64 a b))

series114.0ms (6.7%)

Counts
3 → 9
Calls

3 calls:

39.0ms
(+.f64 (*.f64 a (+.f64 a b)) (*.f64 b (+.f64 a b)))
39.0ms
(*.f64 a (+.f64 a b))
35.0ms
(*.f64 b (+.f64 a b))

simplify60.0ms (3.5%)

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
05498903

prune61.0ms (3.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New74175
Fresh101
Picked011
Done000
Total75277

Merged error: 0b

Counts
77 → 2
Compiler

Compiled 1436 to 412 computations (71.3% saved)

localize11.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.0b
(-.f64 (*.f64 a a) (*.f64 b b))
0.0b
(pow.f64 (+.f64 a b) 3)
0.2b
(*.f64 (-.f64 a b) (pow.f64 (+.f64 a b) 3))
0.6b
(/.f64 (*.f64 (-.f64 a b) (pow.f64 (+.f64 a b) 3)) (-.f64 (*.f64 a a) (*.f64 b b)))

rewrite58.0ms (3.4%)

Algorithm
rewrite-expression-head
Rules
23×*-un-lft-identity_binary64_1111
22×add-sqr-sqrt_binary64_1133
20×add-exp-log_binary64_1149
14×cube-div_binary64_1140 associate-*r*_binary64_1051
13×add-cube-cbrt_binary64_1146
12×add-cbrt-cube_binary64_1147
unpow-prod-down_binary64_1190 cube-prod_binary64_1139
frac-times_binary64_1121 flip3--_binary64_1115 associate-/l/_binary64_1058 flip--_binary64_1086
flip-+_binary64_1085 flip3-+_binary64_1114
prod-exp_binary64_1160 add-log-exp_binary64_1150
associate-*l*_binary64_1052 pow1_binary64_1172
times-frac_binary64_1117 associate-*l/_binary64_1054 associate-/r*_binary64_1055 div-exp_binary64_1162 unswap-sqr_binary64_1079 difference-of-squares_binary64_1080 distribute-lft-out_binary64_1062 associate-*r/_binary64_1053
pow-unpow_binary64_1188 pow-exp_binary64_1179 sqr-pow_binary64_1083 pow-to-exp_binary64_1180
cube-mult_binary64_1141 cbrt-unprod_binary64_1144 cbrt-undiv_binary64_1145 unpow3_binary64_1177 associate-/r/_binary64_1057
*-commutative_binary64_1042 div-inv_binary64_1108 cancel-sign-sub-inv_binary64_1077 frac-2neg_binary64_1122 diff-log_binary64_1203 associate-/l*_binary64_1056 pow-pow_binary64_1183 rem-cube-cbrt_binary64_1134 sub-neg_binary64_1104 clear-num_binary64_1110 distribute-lft-out--_binary64_1063
Counts
4 → 118
Calls

4 calls:

17.0ms
(/.f64 (*.f64 (-.f64 a b) (pow.f64 (+.f64 a b) 3)) (-.f64 (*.f64 a a) (*.f64 b b)))
14.0ms
(*.f64 (-.f64 a b) (pow.f64 (+.f64 a b) 3))
9.0ms
(pow.f64 (+.f64 a b) 3)
5.0ms
(-.f64 (*.f64 a a) (*.f64 b b))

series284.0ms (16.8%)

Counts
4 → 12
Calls

4 calls:

97.0ms
(*.f64 (-.f64 a b) (pow.f64 (+.f64 a b) 3))
89.0ms
(/.f64 (*.f64 (-.f64 a b) (pow.f64 (+.f64 a b) 3)) (-.f64 (*.f64 a a) (*.f64 b b)))
53.0ms
(pow.f64 (+.f64 a b) 3)
45.0ms
(-.f64 (*.f64 a a) (*.f64 b b))

simplify73.0ms (4.3%)

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
049852198
149852198

prune111.0ms (6.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1300130
Fresh000
Picked011
Done011
Total1302132

Merged error: 0b

Counts
132 → 2
Compiler

Compiled 2976 to 973 computations (67.3% saved)

regimes17.0ms (1%)

Compiler

Compiled 60 to 42 computations (30% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01116
11116

end0.0ms (0%)

sample554.0ms (32.7%)

Algorithm
intervals
Results
186.0ms8000×pre128true
138.0ms8000×body128valid
Compiler

Compiled 70 to 44 computations (37.1% saved)

Profiling

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