Details

Time bar (total: 3.3s)

analyze20.0ms (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)

sample60.0ms (1.8%)

Algorithm
intervals
Results
35.0ms121×body1024valid
9.0ms58×body512valid
4.0ms12×body2048valid
3.0ms31×body256valid
2.0ms34×body128valid
Compiler

Compiled 27 to 16 computations (40.7% saved)

simplify223.0ms (6.8%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
0497222
1497222

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 57.1b

Counts
2 → 1
Compiler

Compiled 26 to 14 computations (46.2% saved)

localize7.0ms (0.2%)

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))))
6.4b
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

rewrite31.0ms (0.9%)

Algorithm
rewrite-expression-head
Rules
46×*-un-lft-identity_binary64_751
30×times-frac_binary64_757 add-sqr-sqrt_binary64_772
16×add-cube-cbrt_binary64_783
distribute-lft-out_binary64_704 cosh-undef_binary64_942
distribute-lft-out--_binary64_705 sinh-undef_binary64_941 add-log-exp_binary64_787 difference-of-squares_binary64_720
associate-/l*_binary64_698
associate-/r*_binary64_697 add-cbrt-cube_binary64_784 add-exp-log_binary64_786
pow1_binary64_809
flip3-+_binary64_754 associate-/l/_binary64_700 flip--_binary64_726 associate-/r/_binary64_699 flip3--_binary64_755 flip-+_binary64_725
+-commutative_binary64_683 div-sub_binary64_756 tanh-undef_binary64_943 div-inv_binary64_748 diff-log_binary64_840 cbrt-undiv_binary64_782 sum-log_binary64_839 frac-2neg_binary64_762 clear-num_binary64_750 sub-neg_binary64_744 div-exp_binary64_799
Counts
3 → 86
Calls

3 calls:

12.0ms
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
5.0ms
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
5.0ms
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

series199.0ms (6.1%)

Counts
3 → 9
Calls

3 calls:

133.0ms
(/.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)))

simplify51.0ms (1.6%)

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
052211826

prune76.0ms (2.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New93295
Fresh000
Picked101
Done000
Total94296

Merged error: 0b

Counts
96 → 2
Compiler

Compiled 1631 to 524 computations (67.9% 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
add-cube-cbrt_binary64_783 tanh-def-b_binary64_936 tanh-def-a_binary64_935 pow1_binary64_809 add-log-exp_binary64_787 add-cbrt-cube_binary64_784 *-un-lft-identity_binary64_751 add-exp-log_binary64_786 tanh-def-c_binary64_937 add-sqr-sqrt_binary64_772
Counts
1 → 10
Calls

1 calls:

1.0ms
(tanh.f64 x)

series105.0ms (3.2%)

Counts
1 → 3
Calls

1 calls:

104.0ms
(tanh.f64 x)

simplify45.0ms (1.4%)

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
05365124

prune9.0ms (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 108 to 63 computations (41.7% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 x (*.f64 (pow.f64 x 5) 2/15))
0.0b
(-.f64 (+.f64 x (*.f64 (pow.f64 x 5) 2/15)) (*.f64 1/3 (pow.f64 x 3)))
0.1b
(*.f64 (pow.f64 x 5) 2/15)
0.1b
(*.f64 1/3 (pow.f64 x 3))

rewrite28.0ms (0.9%)

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt_binary64_772
15×associate-*r*_binary64_693
14×add-exp-log_binary64_786
11×add-cube-cbrt_binary64_783 add-log-exp_binary64_787 *-un-lft-identity_binary64_751
10×associate-*l*_binary64_694
unpow-prod-down_binary64_827 add-cbrt-cube_binary64_784
unswap-sqr_binary64_719
prod-exp_binary64_797
sqr-pow_binary64_723 pow1_binary64_809 cube-prod_binary64_776
pow-to-exp_binary64_817 pow-exp_binary64_816 *-commutative_binary64_684 diff-log_binary64_840 sum-log_binary64_839 cbrt-unprod_binary64_781
cube-mult_binary64_778 +-commutative_binary64_683 flip3-+_binary64_754 associate--l+_binary64_690 flip--_binary64_726 unpow3_binary64_814 sub-neg_binary64_744 flip3--_binary64_755 flip-+_binary64_725
Counts
4 → 80
Calls

4 calls:

7.0ms
(*.f64 1/3 (pow.f64 x 3))
6.0ms
(-.f64 (+.f64 x (*.f64 (pow.f64 x 5) 2/15)) (*.f64 1/3 (pow.f64 x 3)))
5.0ms
(*.f64 (pow.f64 x 5) 2/15)
3.0ms
(+.f64 x (*.f64 (pow.f64 x 5) 2/15))

series330.0ms (10.1%)

Counts
4 → 12
Calls

4 calls:

162.0ms
(+.f64 x (*.f64 (pow.f64 x 5) 2/15))
59.0ms
(*.f64 (pow.f64 x 5) 2/15)
55.0ms
(*.f64 1/3 (pow.f64 x 3))
54.0ms
(-.f64 (+.f64 x (*.f64 (pow.f64 x 5) 2/15)) (*.f64 1/3 (pow.f64 x 3)))

simplify61.0ms (1.9%)

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
048831199
148831199

prune96.0ms (2.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New92092
Fresh000
Picked011
Done011
Total92294

Merged error: 0b

Counts
94 → 2
Compiler

Compiled 1646 to 1272 computations (22.7% saved)

regimes8.0ms (0.2%)

Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033
133

end0.0ms (0%)

sample1.9s (58.2%)

Algorithm
intervals
Results
1.1s3858×body1024valid
299.0ms1956×body512valid
135.0ms421×body2048valid
93.0ms951×body256valid
42.0ms814×body128valid
Compiler

Compiled 31 to 24 computations (22.6% saved)

Profiling

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