Details

Time bar (total: 5.0s)

analyze28.0ms (0.6%)

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%1.6%48.5%9
50.4%1.2%48.5%10
50.4%1.2%48.5%11
50.4%1.1%48.6%12
50.4%1%48.6%13
50.5%0.9%48.6%14
Compiler

Compiled 14 to 8 computations (42.9% saved)

sample103.0ms (2.1%)

Algorithm
intervals
Results
58.0ms110×body1024valid
19.0ms71×body512valid
7.0ms14×body2048valid
6.0ms36×body256valid
2.0ms25×body128valid
Compiler

Compiled 27 to 16 computations (40.7% saved)

simplify299.0ms (6%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (125.0ms)

IterNodesCost
0479722
1479722

prune5.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 58.6b

Counts
2 → 1
Compiler

Compiled 26 to 14 computations (46.2% saved)

localize14.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
0.7b
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
7.4b
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

rewrite61.0ms (1.2%)

Algorithm
rewrite-expression-head
Rules
47×*-un-lft-identity_binary64_1101
31×add-sqr-sqrt_binary64_1123
30×times-frac_binary64_1107
17×add-cube-cbrt_binary64_1136
distribute-lft-out_binary64_1052 cosh-undef_binary64_1295
difference-of-squares_binary64_1070 add-log-exp_binary64_1140 distribute-lft-out--_binary64_1053 sinh-undef_binary64_1294
associate-/l*_binary64_1046
add-exp-log_binary64_1139 add-cbrt-cube_binary64_1137 associate-/r*_binary64_1045
pow1_binary64_1162 cancel-sign-sub-inv_binary64_1067
flip--_binary64_1076 flip3--_binary64_1105 flip3-+_binary64_1104 associate-/l/_binary64_1048 associate-/r/_binary64_1047 flip-+_binary64_1075
diff-log_binary64_1193 frac-2neg_binary64_1112 sum-log_binary64_1192 sub-neg_binary64_1094 clear-num_binary64_1100 tanh-undef_binary64_1296 div-inv_binary64_1098 +-commutative_binary64_1031 div-exp_binary64_1152 cbrt-undiv_binary64_1135 div-sub_binary64_1106
Counts
3 → 89
Calls

3 calls:

24.0ms
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
11.0ms
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
10.0ms
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

series207.0ms (4.1%)

Counts
3 → 9
Calls

3 calls:

142.0ms
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
38.0ms
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
27.0ms
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

simplify159.0ms (3.2%)

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 0 (109.0ms)

IterNodesCost
049532364
149532364

prune136.0ms (2.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New96298
Fresh000
Picked101
Done000
Total97299

Merged error: 0b

Counts
99 → 2
Compiler

Compiled 1950 to 346 computations (82.3% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b
(tanh.f64 x)

rewrite3.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
tanh-def-b_binary64_1289 tanh-def-a_binary64_1288 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 tanh-def-c_binary64_1290
Counts
1 → 10
Calls

1 calls:

2.0ms
(tanh.f64 x)

series93.0ms (1.9%)

Counts
1 → 3
Calls

1 calls:

93.0ms
(tanh.f64 x)

simplify101.0ms (2%)

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 0 (83.0ms)

IterNodesCost
05383124

prune15.0ms (0.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New13013
Fresh011
Picked011
Done000
Total13215

Merged error: 0b

Counts
15 → 2
Compiler

Compiled 106 to 61 computations (42.5% saved)

localize17.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b
(sinh.f64 x)
0.0b
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
0.7b
(/.f64 (*.f64 2 (sinh.f64 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

rewrite35.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
11×*-un-lft-identity_binary64_1101
add-exp-log_binary64_1139 add-cbrt-cube_binary64_1137
add-sqr-sqrt_binary64_1123 add-log-exp_binary64_1140 add-cube-cbrt_binary64_1136 times-frac_binary64_1107 associate-/r*_binary64_1045
distribute-lft-out_binary64_1052 pow1_binary64_1162 cosh-undef_binary64_1295
flip3-+_binary64_1104 associate-/r/_binary64_1047 div-exp_binary64_1152 cbrt-undiv_binary64_1135 flip-+_binary64_1075 sinh-def_binary64_1286
cbrt-unprod_binary64_1134 prod-exp_binary64_1150 frac-2neg_binary64_1112 sum-log_binary64_1192 clear-num_binary64_1100 associate-/l/_binary64_1048 associate-*r/_binary64_1043 div-inv_binary64_1098 associate-/l*_binary64_1046 +-commutative_binary64_1031
Counts
3 → 49
Calls

3 calls:

18.0ms
(/.f64 (*.f64 2 (sinh.f64 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
9.0ms
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
2.0ms
(sinh.f64 x)

series275.0ms (5.5%)

Counts
3 → 9
Calls

3 calls:

181.0ms
(/.f64 (*.f64 2 (sinh.f64 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
62.0ms
(sinh.f64 x)
32.0ms
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

simplify91.0ms (1.8%)

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 0 (66.0ms)

IterNodesCost
04996734
14996734

prune69.0ms (1.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New58058
Fresh000
Picked011
Done011
Total58260

Merged error: 0b

Counts
60 → 2
Compiler

Compiled 802 to 288 computations (64.1% saved)

regimes47.0ms (0.9%)

Compiler

Compiled 120 to 86 computations (28.3% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
033
133

end0.0ms (0%)

sample3.2s (64.7%)

Algorithm
intervals
Results
1.9s3858×body1024valid
512.0ms1986×body512valid
203.0ms378×body2048valid
152.0ms999×body256valid
58.0ms779×body128valid
0.0msbody128overflowed
Compiler

Compiled 62 to 46 computations (25.8% saved)

Profiling

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