Details

Time bar (total: 3.3s)

analyze4.0ms (0.1%)

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
50%25%25%4
50%12.5%37.5%5
50%6.2%43.8%6
50%3.1%46.9%7
50%1.6%48.5%8
50%0.8%49.2%9
50.4%0.4%49.2%10
50.4%0.2%49.4%11
50.4%0.1%49.5%12
50.4%0%49.6%13
50.4%0%49.6%14
Compiler

Compiled 9 to 8 computations (11.1% saved)

sample60.0ms (1.8%)

Algorithm
intervals
Results
40.0ms145×body1024valid
8.0ms57×body512valid
2.0msbody2048valid
2.0ms24×body256valid
1.0ms21×body128valid
Compiler

Compiled 17 to 16 computations (5.9% saved)

simplify223.0ms (6.7%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
0484613
1484613

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 58.3b

Counts
2 → 1
Compiler

Compiled 16 to 14 computations (12.5% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

5.0b
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

rewrite7.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity_binary64_1111 add-sqr-sqrt_binary64_1133
cancel-sign-sub-inv_binary64_1077 add-log-exp_binary64_1150
add-cube-cbrt_binary64_1146
add-cbrt-cube_binary64_1147 2sinh-undef_binary64_1306 flip3--_binary64_1115 diff-log_binary64_1203 difference-of-squares_binary64_1080 pow1_binary64_1172 sub-neg_binary64_1104 distribute-lft-out--_binary64_1063 flip--_binary64_1086 add-exp-log_binary64_1149
Counts
1 → 17
Calls

1 calls:

6.0ms
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

series39.0ms (1.2%)

Counts
1 → 3
Calls

1 calls:

39.0ms
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

simplify62.0ms (1.9%)

Algorithm
egg-herbie
Counts
20 → 20
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
04877273
14877273

prune23.0ms (0.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New17320
Fresh000
Picked101
Done000
Total18321

Merged error: 0b

Counts
21 → 3
Compiler

Compiled 347 to 203 computations (41.5% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b
(sinh.f64 x)

rewrite2.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
add-cbrt-cube_binary64_1147 *-un-lft-identity_binary64_1111 add-sqr-sqrt_binary64_1133 add-cube-cbrt_binary64_1146 add-log-exp_binary64_1150 pow1_binary64_1172 sinh-def_binary64_1296 add-exp-log_binary64_1149
Counts
1 → 8
Calls

1 calls:

1.0ms
(sinh.f64 x)

series68.0ms (2%)

Counts
1 → 3
Calls

1 calls:

68.0ms
(sinh.f64 x)

simplify61.0ms (1.8%)

Algorithm
egg-herbie
Counts
11 → 11
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
0541298

prune16.0ms (0.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New10111
Fresh112
Picked011
Done000
Total11314

Merged error: 0b

Counts
14 → 3
Compiler

Compiled 189 to 144 computations (23.8% saved)

localize11.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 1/60 (pow.f64 x 5)))
0.0b
(*.f64 1/60 (pow.f64 x 5))
0.1b
(*.f64 1/3 (pow.f64 x 3))

rewrite26.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt_binary64_1133
19×associate-*r*_binary64_1051
13×add-exp-log_binary64_1149
10×*-un-lft-identity_binary64_1111 add-cube-cbrt_binary64_1146
unpow-prod-down_binary64_1190
add-cbrt-cube_binary64_1147 unswap-sqr_binary64_1079
prod-exp_binary64_1160 associate-*l*_binary64_1052
add-log-exp_binary64_1150
cube-prod_binary64_1139 sqr-pow_binary64_1083
pow1_binary64_1172
*-commutative_binary64_1042 cbrt-unprod_binary64_1144 pow-exp_binary64_1179 pow-to-exp_binary64_1180
cube-mult_binary64_1141 flip-+_binary64_1085 flip3-+_binary64_1114 +-commutative_binary64_1041 unpow3_binary64_1177 sum-log_binary64_1202
Counts
3 → 67
Calls

3 calls:

8.0ms
(*.f64 1/3 (pow.f64 x 3))
6.0ms
(*.f64 1/60 (pow.f64 x 5))
6.0ms
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 1/60 (pow.f64 x 5)))

series297.0ms (8.9%)

Counts
3 → 9
Calls

3 calls:

186.0ms
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 1/60 (pow.f64 x 5)))
66.0ms
(*.f64 1/60 (pow.f64 x 5))
44.0ms
(*.f64 1/3 (pow.f64 x 3))

simplify49.0ms (1.5%)

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
05021877

prune87.0ms (2.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New76076
Fresh011
Picked011
Done011
Total76379

Merged error: 0b

Counts
79 → 3
Compiler

Compiled 1645 to 1191 computations (27.6% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(sinh.f64 x)
0.0b
(pow.f64 (sinh.f64 x) 3)
41.7b
(cbrt.f64 (pow.f64 (sinh.f64 x) 3))

rewrite10.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod_binary64_1142
*-un-lft-identity_binary64_1111 add-sqr-sqrt_binary64_1133 add-cube-cbrt_binary64_1146
unpow-prod-down_binary64_1190 cube-prod_binary64_1139
add-cbrt-cube_binary64_1147 pow1_binary64_1172 add-exp-log_binary64_1149
pow-unpow_binary64_1188 add-log-exp_binary64_1150 sinh-def_binary64_1296
cube-div_binary64_1140 cube-mult_binary64_1141 unpow3_binary64_1177 sqr-pow_binary64_1083
pow1/3_binary64_1193 rem-cbrt-cube_binary64_1135 pow-pow_binary64_1183 pow-exp_binary64_1179 rem-cube-cbrt_binary64_1134 pow-to-exp_binary64_1180 cbrt-div_binary64_1143
Counts
3 → 54
Calls

3 calls:

3.0ms
(cbrt.f64 (pow.f64 (sinh.f64 x) 3))
3.0ms
(pow.f64 (sinh.f64 x) 3)
1.0ms
(sinh.f64 x)

series319.0ms (9.6%)

Counts
3 → 9
Calls

3 calls:

169.0ms
(pow.f64 (sinh.f64 x) 3)
82.0ms
(cbrt.f64 (pow.f64 (sinh.f64 x) 3))
68.0ms
(sinh.f64 x)

simplify43.0ms (1.3%)

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
04945563
14945563

prune46.0ms (1.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New63063
Fresh000
Picked011
Done022
Total63366

Merged error: 0b

Counts
66 → 3
Compiler

Compiled 777 to 544 computations (30% saved)

regimes12.0ms (0.4%)

Compiler

Compiled 34 to 31 computations (8.8% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
079
179

end0.0ms (0%)

sample1.8s (55.4%)

Algorithm
intervals
Results
1.1s4063×body1024valid
286.0ms2005×body512valid
120.0ms393×body2048valid
81.0ms925×body256valid
27.0ms614×body128valid
Compiler

Compiled 47 to 44 computations (6.4% saved)

Profiling

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