Details

Time bar (total: 3.8s)

analyze697.0ms (18.4%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
9.4%90.4%0.2%8
9.4%90.4%0.2%9
10.9%88.9%0.2%10
25.9%73.9%0.2%11
47.1%52.7%0.2%12
55.3%44.5%0.2%13
59.2%40.6%0.2%14
Compiler

Compiled 18 to 15 computations (16.7% saved)

sample21.0ms (0.5%)

Algorithm
intervals
Results
11.0ms256×body128valid
Compiler

Compiled 35 to 33 computations (5.7% saved)

simplify239.0ms (6.3%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (75.0ms)

IterNodesCost
0480519
1480519

prune4.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 1.2b

Counts
2 → 2
Compiler

Compiled 43 to 36 computations (16.3% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b
(-.f64 (/.f64 (*.f64 y t) (*.f64 2 z)) z)
0.0b
(+.f64 x (/.f64 y (-.f64 (/.f64 (*.f64 y t) (*.f64 2 z)) z)))
3.7b
(/.f64 y (-.f64 (/.f64 (*.f64 y t) (*.f64 2 z)) z))
5.2b
(/.f64 (*.f64 y t) (*.f64 2 z))

rewrite52.0ms (1.4%)

Algorithm
rewrite-expression-head
Rules
26×*-un-lft-identity_binary64_13557
24×add-sqr-sqrt_binary64_13578
18×add-cbrt-cube_binary64_13590 add-exp-log_binary64_13592
16×times-frac_binary64_13563
14×add-cube-cbrt_binary64_13589
add-log-exp_binary64_13593
associate-/r*_binary64_13503
cbrt-undiv_binary64_13588 div-exp_binary64_13605 difference-of-squares_binary64_13526 distribute-lft-out--_binary64_13511
prod-exp_binary64_13603 cbrt-unprod_binary64_13587 pow1_binary64_13615 associate-/l*_binary64_13504
clear-num_binary64_13556 flip3--_binary64_13561 flip--_binary64_13532 div-inv_binary64_13554 frac-2neg_binary64_13568 associate-/r/_binary64_13505
sub-neg_binary64_13550 +-commutative_binary64_13489 distribute-lft-out_binary64_13510 flip3-+_binary64_13560 flip-+_binary64_13531 diff-log_binary64_13646 sum-log_binary64_13645
Counts
4 → 83
Calls

4 calls:

18.0ms
(+.f64 x (/.f64 y (-.f64 (/.f64 (*.f64 y t) (*.f64 2 z)) z)))
11.0ms
(/.f64 y (-.f64 (/.f64 (*.f64 y t) (*.f64 2 z)) z))
9.0ms
(-.f64 (/.f64 (*.f64 y t) (*.f64 2 z)) z)
7.0ms
(/.f64 (*.f64 y t) (*.f64 2 z))

series374.0ms (9.9%)

Counts
4 → 12
Calls

4 calls:

131.0ms
(/.f64 y (-.f64 (/.f64 (*.f64 y t) (*.f64 2 z)) z))
113.0ms
(+.f64 x (/.f64 y (-.f64 (/.f64 (*.f64 y t) (*.f64 2 z)) z)))
86.0ms
(-.f64 (/.f64 (*.f64 y t) (*.f64 2 z)) z)
43.0ms
(/.f64 (*.f64 y t) (*.f64 2 z))

simplify70.0ms (1.9%)

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
049751896
149751896

prune94.0ms (2.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New94195
Fresh011
Picked011
Done000
Total94397

Merged error: 0b

Counts
97 → 3
Compiler

Compiled 1882 to 953 computations (49.4% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b
(-.f64 (*.f64 (/.f64 y 2) (/.f64 t z)) z)
0.0b
(+.f64 x (/.f64 y (-.f64 (*.f64 (/.f64 y 2) (/.f64 t z)) z)))
3.7b
(/.f64 y (-.f64 (*.f64 (/.f64 y 2) (/.f64 t z)) z))
6.2b
(*.f64 (/.f64 y 2) (/.f64 t z))

rewrite53.0ms (1.4%)

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt_binary64_13578
31×times-frac_binary64_13563
28×*-un-lft-identity_binary64_13557
26×add-cube-cbrt_binary64_13589
18×add-cbrt-cube_binary64_13590 add-exp-log_binary64_13592
13×associate-*l*_binary64_13500 associate-*r*_binary64_13499
add-log-exp_binary64_13593
pow1_binary64_13615
cbrt-undiv_binary64_13588 div-exp_binary64_13605
prod-exp_binary64_13603 cbrt-unprod_binary64_13587 unswap-sqr_binary64_13525
associate-/r*_binary64_13503 div-inv_binary64_13554 associate-/l*_binary64_13504
flip3--_binary64_13561 flip--_binary64_13532 associate-/r/_binary64_13505
sub-neg_binary64_13550 clear-num_binary64_13556 +-commutative_binary64_13489 distribute-lft-out_binary64_13510 associate-*r/_binary64_13501 *-commutative_binary64_13490 flip3-+_binary64_13560 flip-+_binary64_13531 pow-prod-down_binary64_13625 diff-log_binary64_13646 frac-2neg_binary64_13568 sum-log_binary64_13645 frac-times_binary64_13567 associate-*l/_binary64_13502
Counts
4 → 102
Calls

4 calls:

14.0ms
(+.f64 x (/.f64 y (-.f64 (*.f64 (/.f64 y 2) (/.f64 t z)) z)))
11.0ms
(*.f64 (/.f64 y 2) (/.f64 t z))
10.0ms
(/.f64 y (-.f64 (*.f64 (/.f64 y 2) (/.f64 t z)) z))
8.0ms
(-.f64 (*.f64 (/.f64 y 2) (/.f64 t z)) z)

series400.0ms (10.5%)

Counts
4 → 12
Calls

4 calls:

136.0ms
(/.f64 y (-.f64 (*.f64 (/.f64 y 2) (/.f64 t z)) z))
127.0ms
(+.f64 x (/.f64 y (-.f64 (*.f64 (/.f64 y 2) (/.f64 t z)) z)))
91.0ms
(-.f64 (*.f64 (/.f64 y 2) (/.f64 t z)) z)
46.0ms
(*.f64 (/.f64 y 2) (/.f64 t z))

simplify74.0ms (1.9%)

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
049542060
149542060

prune104.0ms (2.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1131114
Fresh101
Picked101
Done011
Total1152117

Merged error: 0b

Counts
117 → 2
Compiler

Compiled 2245 to 1133 computations (49.5% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 x (/.f64 1 (-.f64 (/.f64 t (*.f64 2 z)) (/.f64 z y))))
0.0b
(-.f64 (/.f64 t (*.f64 2 z)) (/.f64 z y))
0.2b
(/.f64 t (*.f64 2 z))
0.7b
(/.f64 1 (-.f64 (/.f64 t (*.f64 2 z)) (/.f64 z y)))

rewrite62.0ms (1.6%)

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt_binary64_13578
30×*-un-lft-identity_binary64_13557
26×times-frac_binary64_13563
17×add-cube-cbrt_binary64_13589
13×add-exp-log_binary64_13592
11×add-cbrt-cube_binary64_13590
10×difference-of-squares_binary64_13526
add-log-exp_binary64_13593
associate-/r*_binary64_13503
associate-/l*_binary64_13504
pow1_binary64_13615 distribute-lft-out--_binary64_13511
div-exp_binary64_13605
cbrt-undiv_binary64_13588 div-inv_binary64_13554 associate-/r/_binary64_13505
clear-num_binary64_13556 frac-sub_binary64_13566 flip3--_binary64_13561 distribute-lft-out_binary64_13510 flip--_binary64_13532 frac-2neg_binary64_13568
sub-neg_binary64_13550 prod-exp_binary64_13603 cbrt-unprod_binary64_13587 inv-pow_binary64_13639 +-commutative_binary64_13489 1-exp_binary64_13598 flip3-+_binary64_13560 flip-+_binary64_13531 diff-log_binary64_13646 sum-log_binary64_13645 pow-flip_binary64_13628 rec-exp_binary64_13604
Counts
4 → 95
Calls

4 calls:

23.0ms
(+.f64 x (/.f64 1 (-.f64 (/.f64 t (*.f64 2 z)) (/.f64 z y))))
14.0ms
(/.f64 1 (-.f64 (/.f64 t (*.f64 2 z)) (/.f64 z y)))
12.0ms
(-.f64 (/.f64 t (*.f64 2 z)) (/.f64 z y))
5.0ms
(/.f64 t (*.f64 2 z))

series384.0ms (10.1%)

Counts
4 → 12
Calls

4 calls:

196.0ms
(/.f64 1 (-.f64 (/.f64 t (*.f64 2 z)) (/.f64 z y)))
108.0ms
(+.f64 x (/.f64 1 (-.f64 (/.f64 t (*.f64 2 z)) (/.f64 z y))))
55.0ms
(-.f64 (/.f64 t (*.f64 2 z)) (/.f64 z y))
25.0ms
(/.f64 t (*.f64 2 z))

simplify68.0ms (1.8%)

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
049092089
149092089

prune102.0ms (2.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1070107
Fresh000
Picked011
Done011
Total1072109

Merged error: 0b

Counts
109 → 2
Compiler

Compiled 2099 to 1197 computations (43% saved)

regimes148.0ms (3.9%)

Compiler

Compiled 969 to 886 computations (8.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02319
12319

end0.0ms (0%)

sample818.0ms (21.6%)

Algorithm
intervals
Results
369.0ms8000×body128valid
Compiler

Compiled 185 to 167 computations (9.7% saved)

Profiling

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