Details

Time bar (total: 2.3s)

analyze3.0ms (0.1%)

Algorithm
search
Search
TrueOtherFalseIter
0%74.6%25.4%0
0%74.6%25.4%1
37.3%37.3%25.4%2
37.3%18.7%44%3
46.7%9.3%44%4
46.7%4.7%48.7%5
49%2.3%48.7%6
49%1.2%49.8%7
49.6%0.6%49.8%8
49.9%0.3%49.8%9
49.9%0.1%50%10
49.9%0.1%50.1%11
49.9%0%50.1%12
49.9%0%50.1%13
49.9%0%50.1%14
Compiler

Compiled 7 to 6 computations (14.3% saved)

sample37.0ms (1.6%)

Algorithm
intervals
Results
18.0ms122×body1024valid
6.0ms79×body512valid
3.0ms256×pre128true
2.0ms12×body2048valid
1.0ms24×body256valid
0.0ms19×body128valid
Compiler

Compiled 11 to 11 computations (0% saved)

simplify167.0ms (7.3%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
096
196

prune2.0ms (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 8 to 8 computations (0% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

5.3b
(-.f64 (exp.f64 x) 1)

rewrite7.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt_binary64_1133
*-un-lft-identity_binary64_1111
cancel-sign-sub-inv_binary64_1077 add-log-exp_binary64_1150
add-cube-cbrt_binary64_1146 difference-of-squares_binary64_1080
add-cbrt-cube_binary64_1147 flip3--_binary64_1115 diff-log_binary64_1203 difference-of-sqr-1_binary64_1081 pow1_binary64_1172 sub-neg_binary64_1104 distribute-lft-out--_binary64_1063 flip--_binary64_1086 add-exp-log_binary64_1149
Counts
1 → 18
Calls

1 calls:

5.0ms
(-.f64 (exp.f64 x) 1)

series17.0ms (0.7%)

Counts
1 → 3
Calls

1 calls:

17.0ms
(-.f64 (exp.f64 x) 1)

simplify101.0ms (4.4%)

Algorithm
egg-herbie
Counts
21 → 21
Iterations

Useful iterations: 0 (94.0ms)

IterNodesCost
04841199
14841199

prune52.0ms (2.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New19221
Fresh000
Picked011
Done000
Total19322

Merged error: 0.0b

Counts
22 → 3
Compiler

Compiled 494 to 379 computations (23.3% saved)

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b
(*.f64 x (+.f64 1/2 (*.f64 x 1/6)))
0.0b
(*.f64 x (*.f64 x (+.f64 1/2 (*.f64 x 1/6))))
0.3b
(*.f64 x 1/6)

rewrite25.0ms (1.1%)

Algorithm
rewrite-expression-head
Rules
12×add-cbrt-cube_binary64_1147 add-sqr-sqrt_binary64_1133 pow1_binary64_1172 add-exp-log_binary64_1149
associate-*l*_binary64_1052
*-un-lft-identity_binary64_1111 add-cube-cbrt_binary64_1146
associate-*r*_binary64_1051
associate-*r/_binary64_1053
prod-exp_binary64_1160 cbrt-unprod_binary64_1144 distribute-lft-in_binary64_1060 pow-prod-down_binary64_1182 distribute-rgt-in_binary64_1061
*-commutative_binary64_1042 add-log-exp_binary64_1150
flip-+_binary64_1085 flip3-+_binary64_1114 unswap-sqr_binary64_1079
Counts
3 → 64
Calls

3 calls:

8.0ms
(*.f64 x (+.f64 1/2 (*.f64 x 1/6)))
7.0ms
(*.f64 x (*.f64 x (+.f64 1/2 (*.f64 x 1/6))))
4.0ms
(*.f64 x 1/6)

series181.0ms (7.9%)

Counts
3 → 9
Calls

3 calls:

82.0ms
(*.f64 x (*.f64 x (+.f64 1/2 (*.f64 x 1/6))))
75.0ms
(*.f64 x (+.f64 1/2 (*.f64 x 1/6)))
23.0ms
(*.f64 x 1/6)

simplify70.0ms (3.1%)

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
04998823
14998823

prune59.0ms (2.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New73073
Fresh011
Picked011
Done011
Total73376

Merged error: 0.0b

Counts
76 → 3
Compiler

Compiled 1111 to 758 computations (31.8% saved)

localize5.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(exp.f64 (-.f64 (exp.f64 x) 1))
5.3b
(log.f64 (exp.f64 (-.f64 (exp.f64 x) 1)))
5.3b
(-.f64 (exp.f64 x) 1)

rewrite22.0ms (0.9%)

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt_binary64_1133
18×*-un-lft-identity_binary64_1111
14×exp-prod_binary64_1163
cancel-sign-sub-inv_binary64_1077 add-cube-cbrt_binary64_1146
exp-sum_binary64_1157 log-pow_binary64_1200 add-log-exp_binary64_1150
log-prod_binary64_1197
difference-of-squares_binary64_1080
pow1_binary64_1172
add-cbrt-cube_binary64_1147 difference-of-sqr-1_binary64_1081 sub-neg_binary64_1104 distribute-lft-out--_binary64_1063 add-exp-log_binary64_1149
exp-diff_binary64_1159 diff-log_binary64_1203 rem-exp-log_binary64_1151
flip3--_binary64_1115 log-div_binary64_1198 rem-log-exp_binary64_1152 flip--_binary64_1086
Counts
3 → 63
Calls

3 calls:

6.0ms
(log.f64 (exp.f64 (-.f64 (exp.f64 x) 1)))
6.0ms
(exp.f64 (-.f64 (exp.f64 x) 1))
5.0ms
(-.f64 (exp.f64 x) 1)

series202.0ms (8.8%)

Counts
3 → 9
Calls

3 calls:

134.0ms
(log.f64 (exp.f64 (-.f64 (exp.f64 x) 1)))
51.0ms
(exp.f64 (-.f64 (exp.f64 x) 1))
17.0ms
(-.f64 (exp.f64 x) 1)

simplify59.0ms (2.6%)

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
05023640

prune44.0ms (1.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New72072
Fresh000
Picked011
Done022
Total72375

Merged error: 0.0b

Counts
75 → 3
Compiler

Compiled 660 to 431 computations (34.7% saved)

regimes32.0ms (1.4%)

Compiler

Compiled 109 to 100 computations (8.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01416
11416

end0.0ms (0%)

sample1.2s (52%)

Algorithm
intervals
Results
575.0ms4012×body1024valid
149.0ms2004×body512valid
102.0ms8000×pre128true
70.0ms447×body2048valid
48.0ms991×body256valid
14.0ms546×body128valid
Compiler

Compiled 52 to 43 computations (17.3% saved)

Profiling

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