Details

Time bar (total: 3.8s)

analyze14.0ms (0.4%)

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)

sample65.0ms (1.7%)

Algorithm
intervals
Results
37.0ms114×body1024valid
11.0ms74×body512valid
4.0ms12×body2048valid
3.0ms27×body256valid
1.0ms29×body128valid
Compiler

Compiled 27 to 16 computations (40.7% saved)

simplify154.0ms (4.1%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (65.0ms)

IterNodesCost
0479722
1479722

prune3.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
57.3b
Counts
2 → 1
Compiler

Compiled 26 to 14 computations (46.2% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.5b
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
5.8b
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

rewrite87.0ms (2.3%)

Algorithm
rewrite-expression-head
Error
0b
Rules
44×*-un-lft-identity_binary64_2806
30×add-sqr-sqrt_binary64_2828 times-frac_binary64_2812
16×add-cube-cbrt_binary64_2841
sinh-undef_binary64_2999 difference-of-squares_binary64_2775 distribute-lft-out--_binary64_2758 cosh-undef_binary64_3000 distribute-lft-out_binary64_2757
associate-/l*_binary64_2751
associate-/r*_binary64_2750
add-log-exp_binary64_2845 add-exp-log_binary64_2844 add-cbrt-cube_binary64_2842
cancel-sign-sub-inv_binary64_2772
pow1_binary64_2867 flip3--_binary64_2810 flip--_binary64_2781 associate-/l/_binary64_2753 associate-/r/_binary64_2752
diff-log_binary64_2898 sub-neg_binary64_2799 tanh-undef_binary64_3001 div-exp_binary64_2857 cbrt-undiv_binary64_2840 frac-2neg_binary64_2817 div-sub_binary64_2811 clear-num_binary64_2805 div-inv_binary64_2803 flip3-+_binary64_2809 flip-+_binary64_2780
Counts
2 → 76
Calls

2 calls:

12.0ms
(/.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)))
Compiler

Compiled 1739 to 276 computations (84.1% saved)

series115.0ms (3.1%)

Error
0.4b
Counts
2 → 12
Calls

2 calls:

71.0ms
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
28.0ms
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Compiler

Compiled 397 to 259 computations (34.8% saved)

simplify104.0ms (2.8%)

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 0 (77.0ms)

IterNodesCost
049072236
149072236

prune77.0ms (2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New85388
Fresh000
Picked101
Done000
Total86389
Error
0b
Counts
89 → 3
Compiler

Compiled 1759 to 335 computations (81% saved)

localize2.0ms (0%)

Local error

Found 1 expressions with local error:

0.0b
(tanh.f64 x)

rewrite7.0ms (0.2%)

Algorithm
rewrite-expression-head
Error
0b
Rules
tanh-def-c_binary64_2995 tanh-def-b_binary64_2994 tanh-def-a_binary64_2993 pow1_binary64_2867 add-log-exp_binary64_2845 add-exp-log_binary64_2844 add-cbrt-cube_binary64_2842 add-cube-cbrt_binary64_2841 add-sqr-sqrt_binary64_2828 *-un-lft-identity_binary64_2806
Counts
1 → 10
Calls

1 calls:

1.0ms
(tanh.f64 x)
Compiler

Compiled 82 to 46 computations (43.9% saved)

series61.0ms (1.6%)

Error
0b
Counts
1 → 6
Calls

1 calls:

56.0ms
(tanh.f64 x)
Compiler

Compiled 158 to 135 computations (14.6% saved)

simplify36.0ms (1%)

Algorithm
egg-herbie
Counts
16 → 16
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
04965163
14965163

prune11.0ms (0.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New16016
Fresh022
Picked011
Done000
Total16319
Error
0b
Counts
19 → 3
Compiler

Compiled 138 to 85 computations (38.4% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.5b
(/.f64 (sinh.f64 x) (cosh.f64 x))

rewrite21.0ms (0.6%)

Algorithm
rewrite-expression-head
Error
0b
Rules
add-cube-cbrt_binary64_2841 add-sqr-sqrt_binary64_2828 times-frac_binary64_2812 *-un-lft-identity_binary64_2806
add-exp-log_binary64_2844 add-cbrt-cube_binary64_2842 associate-/l*_binary64_2751 associate-/r*_binary64_2750
pow1_binary64_2867 div-exp_binary64_2857 add-log-exp_binary64_2845 cbrt-undiv_binary64_2840 frac-2neg_binary64_2817 clear-num_binary64_2805 div-inv_binary64_2803 sinh-def_binary64_2991 associate-/l/_binary64_2753 cosh-def_binary64_2992 associate-/r/_binary64_2752
Counts
1 → 29
Calls

1 calls:

4.0ms
(/.f64 (sinh.f64 x) (cosh.f64 x))
Compiler

Compiled 351 to 99 computations (71.8% saved)

series110.0ms (2.9%)

Error
0b
Counts
1 → 6
Calls

1 calls:

106.0ms
(/.f64 (sinh.f64 x) (cosh.f64 x))
Compiler

Compiled 164 to 116 computations (29.3% saved)

simplify69.0ms (1.8%)

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
04927490
14927490

prune20.0ms (0.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New35035
Fresh011
Picked011
Done011
Total35338
Error
0b
Counts
38 → 3
Compiler

Compiled 381 to 122 computations (68% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.2b
(/.f64 2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sinh.f64 x)))
0.5b
(/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sinh.f64 x))

rewrite150.0ms (4%)

Algorithm
rewrite-expression-head
Error
0b
Rules
135×times-frac_binary64_2812
101×*-un-lft-identity_binary64_2806
69×add-cube-cbrt_binary64_2841 add-sqr-sqrt_binary64_2828
23×associate-/r*_binary64_2750
16×cosh-undef_binary64_3000 distribute-lft-out_binary64_2757
add-exp-log_binary64_2844 add-cbrt-cube_binary64_2842
associate-/l*_binary64_2751
div-inv_binary64_2803 associate-/r/_binary64_2752
sinh-def_binary64_2991
div-exp_binary64_2857 cbrt-undiv_binary64_2840
pow1_binary64_2867 add-log-exp_binary64_2845 frac-2neg_binary64_2817 clear-num_binary64_2805 associate-/l/_binary64_2753
flip3-+_binary64_2809 flip-+_binary64_2780
Counts
2 → 136
Calls

2 calls:

11.0ms
(/.f64 2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sinh.f64 x)))
9.0ms
(/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sinh.f64 x))
Compiler

Compiled 3089 to 930 computations (69.9% saved)

series208.0ms (5.5%)

Error
0b
Counts
2 → 12
Calls

2 calls:

105.0ms
(/.f64 2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sinh.f64 x)))
94.0ms
(/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sinh.f64 x))
Compiler

Compiled 384 to 282 computations (26.6% saved)

simplify94.0ms (2.5%)

Algorithm
egg-herbie
Counts
148 → 148
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
049573580
149573580

prune115.0ms (3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1480148
Fresh000
Picked011
Done022
Total1483151
Error
0b
Counts
151 → 3
Compiler

Compiled 2682 to 947 computations (64.7% saved)

regimes78.0ms (2.1%)

Accuracy

Total 0.0b remaining (96.3%)

Threshold costs 0.0b (96.3%)

Compiler

Compiled 712 to 544 computations (23.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
033
133

end0.0ms (0%)

sample2.1s (56.9%)

Algorithm
intervals
Results
1.0s3965×body1024valid
257.0ms1889×body512valid
111.0ms383×body2048valid
84.0ms991×body256valid
31.0ms772×body128valid
Compiler

Compiled 358 to 275 computations (23.2% saved)

Profiling

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