Details

Time bar (total: 3.1s)

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)

sample55.0ms (1.8%)

Algorithm
intervals
Results
29.0ms116×body1024valid
9.0ms71×body512valid
5.0ms17×body2048valid
3.0ms35×body256valid
1.0ms17×body128valid
Compiler

Compiled 27 to 16 computations (40.7% saved)

simplify167.0ms (5.5%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (66.0ms)

IterNodesCost
0479722
1479722

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
59.2b
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)))
0.8b
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
5.4b
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

rewrite101.0ms (3.3%)

Algorithm
rewrite-expression-head
Error
0b
Rules
47×*-un-lft-identity_binary64_3147
31×add-sqr-sqrt_binary64_3169
30×times-frac_binary64_3153
17×add-cube-cbrt_binary64_3182
cosh-undef_binary64_3341 distribute-lft-out_binary64_3098
sinh-undef_binary64_3340 add-log-exp_binary64_3186 difference-of-squares_binary64_3116 distribute-lft-out--_binary64_3099
associate-/l*_binary64_3092
add-exp-log_binary64_3185 add-cbrt-cube_binary64_3183 associate-/r*_binary64_3091
pow1_binary64_3208 cancel-sign-sub-inv_binary64_3113
flip3--_binary64_3151 flip--_binary64_3122 associate-/l/_binary64_3094 flip3-+_binary64_3150 associate-/r/_binary64_3093 flip-+_binary64_3121
diff-log_binary64_3239 sub-neg_binary64_3140 tanh-undef_binary64_3342 div-exp_binary64_3198 cbrt-undiv_binary64_3181 frac-2neg_binary64_3158 div-sub_binary64_3152 clear-num_binary64_3146 div-inv_binary64_3144 sum-log_binary64_3238 +-commutative_binary64_3077
Counts
3 → 89
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)))
4.0ms
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Compiler

Compiled 1999 to 313 computations (84.3% saved)

series152.0ms (5%)

Error
0.7b
Counts
3 → 18
Calls

3 calls:

81.0ms
(/.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)))
23.0ms
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Compiler

Compiled 602 to 382 computations (36.5% saved)

simplify88.0ms (2.9%)

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
050392484

prune83.0ms (2.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1052107
Fresh000
Picked101
Done000
Total1062108
Error
0b
Counts
108 → 2
Compiler

Compiled 2071 to 404 computations (80.5% saved)

localize2.0ms (0.1%)

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_3336 tanh-def-b_binary64_3335 tanh-def-a_binary64_3334 pow1_binary64_3208 add-log-exp_binary64_3186 add-exp-log_binary64_3185 add-cbrt-cube_binary64_3183 add-cube-cbrt_binary64_3182 add-sqr-sqrt_binary64_3169 *-un-lft-identity_binary64_3147
Counts
1 → 10
Calls

1 calls:

1.0ms
(tanh.f64 x)
Compiler

Compiled 82 to 46 computations (43.9% saved)

series63.0ms (2%)

Error
0b
Counts
1 → 6
Calls

1 calls:

58.0ms
(tanh.f64 x)
Compiler

Compiled 158 to 135 computations (14.6% saved)

simplify38.0ms (1.2%)

Algorithm
egg-herbie
Counts
16 → 16
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
04965163
14965163

prune12.0ms (0.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New16016
Fresh011
Picked011
Done000
Total16218
Error
0b
Counts
18 → 2
Compiler

Compiled 129 to 78 computations (39.5% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(-.f64 x (*.f64 1/3 (pow.f64 x 3)))
0.1b
(*.f64 1/3 (pow.f64 x 3))

rewrite47.0ms (1.5%)

Algorithm
rewrite-expression-head
Error
0b
Rules
13×add-sqr-sqrt_binary64_3169
12×associate-*r*_binary64_3087
add-exp-log_binary64_3185
add-cube-cbrt_binary64_3182 *-un-lft-identity_binary64_3147
add-log-exp_binary64_3186 add-cbrt-cube_binary64_3183 unpow-prod-down_binary64_3226 unswap-sqr_binary64_3115 cube-prod_binary64_3175
prod-exp_binary64_3196 associate-*l*_binary64_3088
pow1_binary64_3208 sqr-pow_binary64_3119
pow-to-exp_binary64_3216 pow-exp_binary64_3215 cbrt-unprod_binary64_3180 unpow3_binary64_3213 cube-mult_binary64_3177 *-commutative_binary64_3078 diff-log_binary64_3239 flip3--_binary64_3151 sub-neg_binary64_3140 flip--_binary64_3122 cancel-sign-sub-inv_binary64_3113
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)))
Compiler

Compiled 594 to 447 computations (24.7% saved)

series99.0ms (3.3%)

Error
0b
Counts
2 → 9
Calls

2 calls:

58.0ms
(-.f64 x (*.f64 1/3 (pow.f64 x 3)))
36.0ms
(*.f64 1/3 (pow.f64 x 3))
Compiler

Compiled 148 to 122 computations (17.6% saved)

simplify54.0ms (1.8%)

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
05194541

prune38.0ms (1.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New52052
Fresh000
Picked011
Done011
Total52254
Error
0b
Counts
54 → 2
Compiler

Compiled 562 to 404 computations (28.1% saved)

regimes46.0ms (1.5%)

Accuracy

Total 0.0b remaining (89.6%)

Threshold costs 0.0b (89.6%)

Compiler

Compiled 418 to 322 computations (23% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
033
133

end0.0ms (0%)

sample2.0s (64.6%)

Algorithm
intervals
Results
1.0s3930×body1024valid
258.0ms1967×body512valid
115.0ms405×body2048valid
76.0ms921×body256valid
34.0ms777×body128valid
0.0msbody128overflowed
Compiler

Compiled 211 to 164 computations (22.3% saved)

Profiling

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