Details

Time bar (total: 4.0s)

analyze334.0ms (8.3%)

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
50%50%0%4
50%50%0%5
50%50%0%6
50%50%0%7
50%50%0%8
50%50%0%9
50%50%0%10
50%50%0%11
50%49.9%0%12
99.6%0.3%0%13
99.9%0%0%14
Compiler

Compiled 30 to 27 computations (10% saved)

sample25.0ms (0.6%)

Algorithm
intervals
Results
18.0ms256×body128valid
Compiler

Compiled 59 to 54 computations (8.5% saved)

simplify154.0ms (3.8%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (61.0ms)

IterNodesCost
0489225
1489225

prune5.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0b

Counts
2 → 2
Compiler

Compiled 63 to 58 computations (7.9% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b
(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))))))
0.0b
(*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))
3.1b
(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
3.1b
(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))

rewrite208.0ms (5.2%)

Algorithm
rewrite-expression-head
Rules
471×times-frac_binary64_84
393×*-un-lft-identity_binary64_78
299×cancel-sign-sub-inv_binary64_44
278×add-sqr-sqrt_binary64_100
211×add-cube-cbrt_binary64_113
104×distribute-lft-out_binary64_29
78×div-inv_binary64_75
72×distribute-lft-in_binary64_27 distribute-rgt-in_binary64_28
24×difference-of-squares_binary64_47
11×pow1_binary64_139
10×add-log-exp_binary64_117 distribute-lft-out--_binary64_30 associate-/r/_binary64_24
flip3--_binary64_82 swap-sqr_binary64_45 flip--_binary64_53
associate-*l*_binary64_19 associate-*r*_binary64_18
add-cbrt-cube_binary64_114 add-exp-log_binary64_116
flip-+_binary64_52 sub-neg_binary64_71 flip3-+_binary64_81
frac-times_binary64_88
diff-log_binary64_170
associate-*l/_binary64_21 associate-*r/_binary64_20
pow2_binary64_159 *-commutative_binary64_9 pow-sqr_binary64_51 cbrt-unprod_binary64_111 prod-exp_binary64_127 pow-prod-up_binary64_148 pow-prod-down_binary64_149 unswap-sqr_binary64_46 pow-plus_binary64_141
Counts
4 → 397
Calls

4 calls:

67.0ms
(*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))
32.0ms
(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
29.0ms
(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
10.0ms
(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))))))

series83.0ms (2.1%)

Counts
4 → 12
Calls

4 calls:

29.0ms
(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))))))
27.0ms
(*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))
14.0ms
(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
13.0ms
(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))

simplify198.0ms (4.9%)

Algorithm
egg-herbie
Counts
409 → 409
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
0498619691
1498619691

prune1.7s (42.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New4090409
Fresh011
Picked011
Done000
Total4092411

Merged error: 0b

Counts
411 → 2
Compiler

Compiled 18323 to 15392 computations (16% saved)

localize15.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b
(/.f64 4 (+.f64 1 t))
0.0b
(-.f64 1 (/.f64 1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)))
0.0b
(/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t))
0.0b
(+.f64 (/.f64 4 (+.f64 1 t)) -8)

rewrite68.0ms (1.7%)

Algorithm
rewrite-expression-head
Rules
75×*-un-lft-identity_binary64_78
44×times-frac_binary64_84
42×add-sqr-sqrt_binary64_100
31×add-cube-cbrt_binary64_113
18×cancel-sign-sub-inv_binary64_44 distribute-lft-out_binary64_29
add-cbrt-cube_binary64_114 add-log-exp_binary64_117 associate-/r*_binary64_22 add-exp-log_binary64_116
associate-/l*_binary64_23
difference-of-squares_binary64_47 associate-/r/_binary64_24
flip-+_binary64_52 flip3-+_binary64_81
div-inv_binary64_75 pow1_binary64_139
cbrt-undiv_binary64_112 div-exp_binary64_129 distribute-lft-out--_binary64_30 frac-2neg_binary64_89 clear-num_binary64_77 associate-/l/_binary64_25
+-commutative_binary64_8 flip3--_binary64_82 diff-log_binary64_170 flip--_binary64_53 sub-neg_binary64_71 sum-log_binary64_169
Counts
4 → 122
Calls

4 calls:

27.0ms
(-.f64 1 (/.f64 1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)))
15.0ms
(/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t))
10.0ms
(+.f64 (/.f64 4 (+.f64 1 t)) -8)
6.0ms
(/.f64 4 (+.f64 1 t))

series63.0ms (1.6%)

Counts
4 → 12
Calls

4 calls:

23.0ms
(-.f64 1 (/.f64 1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)))
21.0ms
(/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t))
10.0ms
(+.f64 (/.f64 4 (+.f64 1 t)) -8)
9.0ms
(/.f64 4 (+.f64 1 t))

simplify84.0ms (2.1%)

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
050223016

prune177.0ms (4.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1340134
Fresh000
Picked011
Done011
Total1342136

Merged error: 0b

Counts
136 → 2
Compiler

Compiled 3233 to 2825 computations (12.6% saved)

regimes98.0ms (2.4%)

Compiler

Compiled 859 to 768 computations (10.6% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
06828
16828

end0.0ms (0%)

sample782.0ms (19.5%)

Algorithm
intervals
Results
536.0ms8000×body128valid
Compiler

Compiled 136 to 124 computations (8.8% saved)

Profiling

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