Details

Time bar (total: 3.7s)

analyze5.0ms (0.1%)

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
0%50%50%3
25%25%50%4
37.5%12.5%50%5
43.7%6.2%50%6
46.9%3.1%50%7
48.4%1.6%50%8
49.2%0.8%50%9
49.6%0.4%50%10
49.8%0.2%50%11
49.9%0.1%50%12
49.9%0%50%13
49.9%0%50%14
Compiler

Compiled 13 to 12 computations (7.7% saved)

sample81.0ms (2.2%)

Algorithm
intervals
Results
50.0ms126×body1024valid
16.0ms74×body512valid
4.0ms34×body256valid
4.0msbody2048valid
1.0ms15×body128valid
Compiler

Compiled 25 to 24 computations (4% saved)

simplify185.0ms (5.1%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (15.0ms)

IterNodesCost
045015
145015

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 59.9b

Counts
2 → 1
Compiler

Compiled 20 to 18 computations (10% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 (+.f64 1 x) (-.f64 1 x))
6.9b
(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))

rewrite26.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
78×*-un-lft-identity_binary64_1088
52×add-sqr-sqrt_binary64_1109
48×times-frac_binary64_1094
30×log-prod_binary64_1171
25×add-cube-cbrt_binary64_1120
18×difference-of-squares_binary64_1057
13×distribute-lft-out_binary64_1041
distribute-lft-out--_binary64_1042
add-exp-log_binary64_1123
associate-/r*_binary64_1034
add-cbrt-cube_binary64_1121 associate-/r/_binary64_1036 associate-/l*_binary64_1035
pow1_binary64_1146
rem-log-exp_binary64_1126 flip3--_binary64_1092 associate-/l/_binary64_1037 flip--_binary64_1063 div-exp_binary64_1136 add-log-exp_binary64_1124 div-inv_binary64_1085
clear-num_binary64_1087 frac-2neg_binary64_1099 log-pow_binary64_1174 log-div_binary64_1172 flip-+_binary64_1062 cbrt-undiv_binary64_1119 flip3-+_binary64_1091
Counts
2 → 91
Calls

2 calls:

9.0ms
(/.f64 (+.f64 1 x) (-.f64 1 x))
9.0ms
(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))

series85.0ms (2.3%)

Counts
2 → 6
Calls

2 calls:

60.0ms
(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
25.0ms
(/.f64 (+.f64 1 x) (-.f64 1 x))

simplify82.0ms (2.2%)

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
052861898

prune128.0ms (3.5%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New96197
Fresh000
Picked101
Done000
Total97198

Merged error: 0b

Counts
98 → 1
Compiler

Compiled 1714 to 1365 computations (20.4% saved)

localize13.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b
(+.f64 (*.f64 (pow.f64 x 3) 2/3) (*.f64 2/5 (pow.f64 x 5)))
0.1b
(*.f64 2/5 (pow.f64 x 5))
0.1b
(*.f64 (pow.f64 x 3) 2/3)

rewrite25.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt_binary64_1109
15×associate-*l*_binary64_1031
13×add-exp-log_binary64_1123
10×associate-*r*_binary64_1030 *-un-lft-identity_binary64_1088 add-cube-cbrt_binary64_1120
unpow-prod-down_binary64_1164
add-cbrt-cube_binary64_1121 unswap-sqr_binary64_1056
prod-exp_binary64_1134
add-log-exp_binary64_1124
cube-prod_binary64_1113 sqr-pow_binary64_1060
pow1_binary64_1146
*-commutative_binary64_1021 cbrt-unprod_binary64_1118 pow-exp_binary64_1153 pow-to-exp_binary64_1154
unpow3_binary64_1151 cube-mult_binary64_1115 sum-log_binary64_1176 +-commutative_binary64_1020 flip-+_binary64_1062 flip3-+_binary64_1091
Counts
3 → 67
Calls

3 calls:

7.0ms
(*.f64 (pow.f64 x 3) 2/3)
6.0ms
(*.f64 2/5 (pow.f64 x 5))
6.0ms
(+.f64 (*.f64 (pow.f64 x 3) 2/3) (*.f64 2/5 (pow.f64 x 5)))

series287.0ms (7.8%)

Counts
3 → 9
Calls

3 calls:

177.0ms
(+.f64 (*.f64 (pow.f64 x 3) 2/3) (*.f64 2/5 (pow.f64 x 5)))
62.0ms
(*.f64 2/5 (pow.f64 x 5))
48.0ms
(*.f64 (pow.f64 x 3) 2/3)

simplify49.0ms (1.4%)

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
04863889
14863889

prune90.0ms (2.5%)

Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New76076
Fresh000
Picked011
Done000
Total76177

Merged error: 0b

Counts
77 → 1
Compiler

Compiled 1667 to 1210 computations (27.4% saved)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02025
12025

end0.0ms (0%)

sample2.6s (70.9%)

Algorithm
intervals
Results
1.6s4037×body1024valid
435.0ms1994×body512valid
226.0ms392×body2048valid
126.0ms999×body256valid
34.0ms578×body128valid
Compiler

Compiled 47 to 41 computations (12.8% saved)

Profiling

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