Details

Time bar (total: 2.7s)

analyze13.0ms (0.5%)

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)

sample58.0ms (2.1%)

Algorithm
intervals
Results
37.0ms129×body1024valid
8.0ms58×body512valid
4.0ms12×body2048valid
2.0ms28×body256valid
1.0ms29×body128valid
Compiler

Compiled 27 to 16 computations (40.7% saved)

simplify158.0ms (5.8%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (61.0ms)

IterNodesCost
0479722
1479722

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 58.5b

Counts
2 → 1
Compiler

Compiled 26 to 14 computations (46.2% saved)

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
2.0b
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
6.1b
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

rewrite35.0ms (1.3%)

Algorithm
rewrite-expression-head
Rules
47×*-un-lft-identity_binary64_760
31×add-sqr-sqrt_binary64_782
30×times-frac_binary64_766
17×add-cube-cbrt_binary64_795
distribute-lft-out_binary64_711 cosh-undef_binary64_954
add-log-exp_binary64_799 difference-of-squares_binary64_729 distribute-lft-out--_binary64_712 sinh-undef_binary64_953
associate-/l*_binary64_705
add-exp-log_binary64_798 associate-/r*_binary64_704 add-cbrt-cube_binary64_796
cancel-sign-sub-inv_binary64_726 pow1_binary64_821
associate-/r/_binary64_706 flip3-+_binary64_763 associate-/l/_binary64_707 flip-+_binary64_734 flip--_binary64_735 flip3--_binary64_764
diff-log_binary64_852 frac-2neg_binary64_771 cbrt-undiv_binary64_794 div-inv_binary64_757 tanh-undef_binary64_955 +-commutative_binary64_690 sum-log_binary64_851 div-sub_binary64_765 div-exp_binary64_811 clear-num_binary64_759 sub-neg_binary64_753
Counts
3 → 89
Calls

3 calls:

15.0ms
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
6.0ms
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
6.0ms
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

series183.0ms (6.8%)

Counts
3 → 18
Calls

3 calls:

102.0ms
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
44.0ms
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
36.0ms
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Compiler

Compiled 390 to 324 computations (16.9% saved)

simplify83.0ms (3.1%)

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
049262516
149262516

prune88.0ms (3.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1052107
Fresh000
Picked101
Done000
Total1062108

Merged error: 0b

Counts
108 → 2
Compiler

Compiled 2095 to 466 computations (77.8% saved)

localize2.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b
(tanh.f64 x)

rewrite2.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity_binary64_760 tanh-def-b_binary64_948 add-exp-log_binary64_798 add-cube-cbrt_binary64_795 add-log-exp_binary64_799 add-cbrt-cube_binary64_796 tanh-def-c_binary64_949 tanh-def-a_binary64_947 pow1_binary64_821 add-sqr-sqrt_binary64_782
Counts
1 → 10
Calls

1 calls:

1.0ms
(tanh.f64 x)

series61.0ms (2.3%)

Counts
1 → 6
Calls

1 calls:

61.0ms
(tanh.f64 x)
Compiler

Compiled 92 to 82 computations (10.9% saved)

simplify33.0ms (1.2%)

Algorithm
egg-herbie
Counts
16 → 16
Iterations

Useful iterations: 0 (26.0ms)

IterNodesCost
04941197
14941197

prune11.0ms (0.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New16016
Fresh011
Picked011
Done000
Total16218

Merged error: 0b

Counts
18 → 2
Compiler

Compiled 151 to 100 computations (33.8% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(-.f64 x (*.f64 1/3 (pow.f64 x 3)))
0.2b
(*.f64 1/3 (pow.f64 x 3))

rewrite13.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt_binary64_782
12×associate-*r*_binary64_700
add-exp-log_binary64_798
*-un-lft-identity_binary64_760 add-cube-cbrt_binary64_795
unswap-sqr_binary64_728 add-log-exp_binary64_799 add-cbrt-cube_binary64_796 cube-prod_binary64_788 unpow-prod-down_binary64_839
prod-exp_binary64_809 associate-*l*_binary64_701
sqr-pow_binary64_732 pow1_binary64_821
cube-mult_binary64_790 diff-log_binary64_852 unpow3_binary64_826 cancel-sign-sub-inv_binary64_726 pow-exp_binary64_828 pow-to-exp_binary64_829 cbrt-unprod_binary64_793 sub-neg_binary64_753 *-commutative_binary64_691 flip--_binary64_735 flip3--_binary64_764
Counts
2 → 43
Calls

2 calls:

7.0ms
(*.f64 1/3 (pow.f64 x 3))
3.0ms
(-.f64 x (*.f64 1/3 (pow.f64 x 3)))

series70.0ms (2.6%)

Counts
2 → 8
Calls

2 calls:

38.0ms
(-.f64 x (*.f64 1/3 (pow.f64 x 3)))
31.0ms
(*.f64 1/3 (pow.f64 x 3))
Compiler

Compiled 100 to 89 computations (11% saved)

simplify48.0ms (1.8%)

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
05578534

prune37.0ms (1.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New51051
Fresh000
Picked011
Done011
Total51253

Merged error: 0b

Counts
53 → 2
Compiler

Compiled 557 to 401 computations (28% saved)

regimes30.0ms (1.1%)

Compiler

Compiled 178 to 118 computations (33.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033
133

end0.0ms (0%)

sample1.8s (65.3%)

Algorithm
intervals
Results
1.0s4016×body1024valid
254.0ms1876×body512valid
102.0ms369×body2048valid
78.0ms924×body256valid
36.0ms815×body128valid
0.0msbody128overflowed
Compiler

Compiled 91 to 62 computations (31.9% saved)

Profiling

Loading profile data...