Details

Time bar (total: 3.9s)

analyze5.0ms (0.1%)

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
25%75%0%3
50%50%0%4
93.7%6.2%0%5
96.8%3.1%0%6
98.4%1.6%0%7
99.2%0.8%0%8
99.6%0.4%0%9
99.8%0.2%0%10
99.9%0.1%0%11
99.9%0%0%12
99.9%0%0%13
99.9%0%0%14
Compiler

Compiled 36 to 29 computations (19.4% saved)

sample30.0ms (0.8%)

Algorithm
intervals
Results
23.0ms256×body128valid
Compiler

Compiled 71 to 58 computations (18.3% saved)

simplify270.0ms (7%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (102.0ms)

IterNodesCost
0493740
1493740

prune10.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.0b

Counts
2 → 1
Compiler

Compiled 124 to 100 computations (19.4% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 2 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))))
0.0b
(/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 2 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))))
0.0b
(*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))
0.0b
(*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))

rewrite81.0ms (2.1%)

Algorithm
rewrite-expression-head
Rules
78×add-exp-log_binary64_117 add-cbrt-cube_binary64_115
56×*-un-lft-identity_binary64_79
49×times-frac_binary64_85
32×add-sqr-sqrt_binary64_101
30×cbrt-unprod_binary64_112 prod-exp_binary64_128
28×add-cube-cbrt_binary64_114
25×cbrt-undiv_binary64_113 div-exp_binary64_130
24×swap-sqr_binary64_46
20×associate-*l*_binary64_20 associate-*r*_binary64_19
18×associate-/r/_binary64_25 pow1_binary64_140
12×distribute-lft-out_binary64_30
11×flip-+_binary64_53 flip3-+_binary64_82
div-inv_binary64_76
add-log-exp_binary64_118
associate-/r*_binary64_23 associate-/l*_binary64_24
frac-times_binary64_89 associate-*l/_binary64_22 pow-prod-up_binary64_149 associate-*r/_binary64_21 unswap-sqr_binary64_47 pow-sqr_binary64_52 *-commutative_binary64_10 pow-prod-down_binary64_150 associate-/l/_binary64_26 pow-plus_binary64_142 pow2_binary64_160
sum-log_binary64_170 +-commutative_binary64_9 clear-num_binary64_78 frac-2neg_binary64_90
Counts
4 → 176
Calls

4 calls:

19.0ms
(*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))
18.0ms
(*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))
10.0ms
(/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 2 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))))
5.0ms
(+.f64 2 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))))

series161.0ms (4.2%)

Counts
4 → 12
Calls

4 calls:

62.0ms
(/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 2 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))))
36.0ms
(*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))
32.0ms
(+.f64 2 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))))
30.0ms
(*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))

simplify109.0ms (2.8%)

Algorithm
egg-herbie
Counts
188 → 188
Iterations

Useful iterations: 0 (61.0ms)

IterNodesCost
049684364
149684364

prune483.0ms (12.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1862188
Fresh000
Picked011
Done000
Total1863189

Merged error: 0b

Counts
189 → 3
Compiler

Compiled 7509 to 5945 computations (20.8% saved)

localize17.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.1b
(/.f64 t (sqrt.f64 (+.f64 t 1)))
0.1b
(/.f64 t (sqrt.f64 (+.f64 t 1)))
0.1b
(*.f64 (/.f64 t (sqrt.f64 (+.f64 t 1))) (/.f64 t (sqrt.f64 (+.f64 t 1))))
0.1b
(*.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 (+.f64 t 1)))

rewrite113.0ms (2.9%)

Algorithm
rewrite-expression-head
Rules
180×*-un-lft-identity_binary64_79
164×add-sqr-sqrt_binary64_101
162×times-frac_binary64_85
130×sqrt-prod_binary64_95
108×add-cube-cbrt_binary64_114
50×swap-sqr_binary64_46
34×associate-*l*_binary64_20 associate-*r*_binary64_19
32×distribute-lft-out_binary64_30
26×pow1_binary64_140
24×sqrt-div_binary64_96
22×add-exp-log_binary64_117 add-cbrt-cube_binary64_115
14×associate-/r*_binary64_23
13×unswap-sqr_binary64_47
12×flip-+_binary64_53 associate-/r/_binary64_25 flip3-+_binary64_82
sqrt-pow1_binary64_97 pow1/2_binary64_159
cbrt-undiv_binary64_113 div-exp_binary64_130 div-inv_binary64_76 associate-/l*_binary64_24 pow-prod-up_binary64_149
frac-times_binary64_89 cbrt-unprod_binary64_112 prod-exp_binary64_128
pow-sqr_binary64_52 pow-prod-down_binary64_150 add-log-exp_binary64_118
associate-*l/_binary64_22 associate-*r/_binary64_21
rem-sqrt-square_binary64_92 *-commutative_binary64_10 clear-num_binary64_78 pow-plus_binary64_142 frac-2neg_binary64_90 pow2_binary64_160
sqrt-unprod_binary64_99 rem-square-sqrt_binary64_91 sqr-abs_binary64_94
Counts
4 → 279
Calls

4 calls:

33.0ms
(*.f64 (/.f64 t (sqrt.f64 (+.f64 t 1))) (/.f64 t (sqrt.f64 (+.f64 t 1))))
14.0ms
(*.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 (+.f64 t 1)))
7.0ms
(/.f64 t (sqrt.f64 (+.f64 t 1)))
7.0ms
(/.f64 t (sqrt.f64 (+.f64 t 1)))

series149.0ms (3.8%)

Counts
4 → 12
Calls

4 calls:

47.0ms
(/.f64 t (sqrt.f64 (+.f64 t 1)))
45.0ms
(/.f64 t (sqrt.f64 (+.f64 t 1)))
34.0ms
(*.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 (+.f64 t 1)))
23.0ms
(*.f64 (/.f64 t (sqrt.f64 (+.f64 t 1))) (/.f64 t (sqrt.f64 (+.f64 t 1))))

simplify97.0ms (2.5%)

Algorithm
egg-herbie
Counts
291 → 291
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
051684744

prune1.2s (30.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New2910291
Fresh011
Picked011
Done011
Total2913294

Merged error: 0b

Counts
294 → 3
Compiler

Compiled 14676 to 11185 computations (23.8% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 2 (pow.f64 t 3))
9.0b
(-.f64 (+.f64 (*.f64 t t) 1/2) (*.f64 2 (pow.f64 t 3)))

rewrite19.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt_binary64_101
12×associate-*r*_binary64_19
add-exp-log_binary64_117 add-log-exp_binary64_118
add-cube-cbrt_binary64_114 *-un-lft-identity_binary64_79
add-cbrt-cube_binary64_115 unswap-sqr_binary64_47 unpow-prod-down_binary64_158 cube-prod_binary64_107
associate-*l*_binary64_20 prod-exp_binary64_128
sqr-pow_binary64_51 diff-log_binary64_171 pow1_binary64_140
pow-exp_binary64_147 pow-to-exp_binary64_148 associate--l+_binary64_16 sum-log_binary64_170 flip--_binary64_54 cube-mult_binary64_109 cbrt-unprod_binary64_112 *-commutative_binary64_10 flip3--_binary64_83 cancel-sign-sub-inv_binary64_45 sub-neg_binary64_72 unpow3_binary64_145
Counts
2 → 45
Calls

2 calls:

8.0ms
(*.f64 2 (pow.f64 t 3))
8.0ms
(-.f64 (+.f64 (*.f64 t t) 1/2) (*.f64 2 (pow.f64 t 3)))

series86.0ms (2.2%)

Counts
2 → 6
Calls

2 calls:

54.0ms
(*.f64 2 (pow.f64 t 3))
32.0ms
(-.f64 (+.f64 (*.f64 t t) 1/2) (*.f64 2 (pow.f64 t 3)))

simplify97.0ms (2.5%)

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 0 (85.0ms)

IterNodesCost
04981651
14981651

prune41.0ms (1.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New51051
Fresh000
Picked011
Done022
Total51354

Merged error: 0b

Counts
54 → 3
Compiler

Compiled 794 to 537 computations (32.4% saved)

regimes54.0ms (1.4%)

Compiler

Compiled 480 to 386 computations (19.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01652
11652

end0.0ms (0%)

sample848.0ms (21.9%)

Algorithm
intervals
Results
609.0ms8000×body128valid
Compiler

Compiled 162 to 131 computations (19.1% saved)

Profiling

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