Details

Time bar (total: 5.1s)

analyze483.0ms (9.5%)

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
12.5%87.3%0.2%7
15.6%84.2%0.2%8
28.1%71.7%0.2%9
37.4%62.4%0.2%10
43.7%56.1%0.2%11
53%46.8%0.2%12
64.1%35.6%0.3%13
66.7%32.8%0.5%14
Compiler

Compiled 12 to 11 computations (8.3% saved)

sample23.0ms (0.4%)

Algorithm
intervals
Results
9.0ms256×body128valid
0.0ms11×body128invalid
Compiler

Compiled 23 to 25 computations (-8.7% saved)

simplify305.0ms (6%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (133.0ms)

IterNodesCost
0528516

prune3.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.6b

Counts
2 → 1
Compiler

Compiled 22 to 20 computations (9.1% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 (-.f64 y z) (-.f64 y t))
7.0b
(/.f64 x (*.f64 (-.f64 y z) (-.f64 y t)))

rewrite34.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt_binary64_6637
12×flip--_binary64_6590 *-un-lft-identity_binary64_6615 flip3--_binary64_6619
add-cbrt-cube_binary64_6651 add-exp-log_binary64_6653
add-cube-cbrt_binary64_6650 associate-/r/_binary64_6561 frac-times_binary64_6625
cancel-sign-sub-inv_binary64_6581
associate-*r*_binary64_6555 associate-*l*_binary64_6556
distribute-lft-in_binary64_6564 pow1_binary64_6676 associate-*r/_binary64_6557 associate-*l/_binary64_6558 distribute-rgt-in_binary64_6565
times-frac_binary64_6621 associate-/l*_binary64_6560
prod-exp_binary64_6664 div-exp_binary64_6666 sub-neg_binary64_6608 add-log-exp_binary64_6654 difference-of-squares_binary64_6584 distribute-lft-out--_binary64_6567 cbrt-undiv_binary64_6649 cbrt-unprod_binary64_6648
unswap-sqr_binary64_6583 pow-prod-down_binary64_6686 associate-/r*_binary64_6559 *-commutative_binary64_6546 div-inv_binary64_6612 frac-2neg_binary64_6626 clear-num_binary64_6614
Counts
2 → 67
Calls

2 calls:

16.0ms
(/.f64 x (*.f64 (-.f64 y z) (-.f64 y t)))
12.0ms
(*.f64 (-.f64 y z) (-.f64 y t))

series244.0ms (4.8%)

Counts
2 → 6
Calls

2 calls:

195.0ms
(/.f64 x (*.f64 (-.f64 y z) (-.f64 y t)))
49.0ms
(*.f64 (-.f64 y z) (-.f64 y t))

simplify68.0ms (1.3%)

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
051621174

prune114.0ms (2.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New69473
Fresh000
Picked011
Done000
Total69574

Merged error: 0b

Counts
74 → 5
Compiler

Compiled 1928 to 940 computations (51.2% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(/.f64 1 (-.f64 y z))
0.0b
(/.f64 x (-.f64 y t))
1.8b
(*.f64 (/.f64 1 (-.f64 y z)) (/.f64 x (-.f64 y t)))

rewrite58.0ms (1.1%)

Algorithm
rewrite-expression-head
Rules
86×add-sqr-sqrt_binary64_6637
71×*-un-lft-identity_binary64_6615
67×times-frac_binary64_6621
41×add-cube-cbrt_binary64_6650
31×add-exp-log_binary64_6653
21×associate-*r*_binary64_6555 associate-*l*_binary64_6556
19×add-cbrt-cube_binary64_6651
14×difference-of-squares_binary64_6584 distribute-lft-out--_binary64_6567
11×div-exp_binary64_6666
10×associate-/r*_binary64_6559
prod-exp_binary64_6664 associate-/r/_binary64_6561
unswap-sqr_binary64_6583 pow1_binary64_6676 associate-/l*_binary64_6560 cbrt-undiv_binary64_6649
div-inv_binary64_6612 flip--_binary64_6590 cbrt-unprod_binary64_6648 flip3--_binary64_6619
rec-exp_binary64_6665 add-log-exp_binary64_6654 1-exp_binary64_6659
frac-2neg_binary64_6626 clear-num_binary64_6614
pow-prod-down_binary64_6686 inv-pow_binary64_6700 *-commutative_binary64_6546 associate-*r/_binary64_6557 associate-*l/_binary64_6558 pow-flip_binary64_6689 frac-times_binary64_6625
Counts
3 → 150
Calls

3 calls:

25.0ms
(*.f64 (/.f64 1 (-.f64 y z)) (/.f64 x (-.f64 y t)))
7.0ms
(/.f64 x (-.f64 y t))
7.0ms
(/.f64 1 (-.f64 y z))

series431.0ms (8.4%)

Counts
3 → 9
Calls

3 calls:

321.0ms
(*.f64 (/.f64 1 (-.f64 y z)) (/.f64 x (-.f64 y t)))
66.0ms
(/.f64 x (-.f64 y t))
44.0ms
(/.f64 1 (-.f64 y z))

simplify102.0ms (2%)

Algorithm
egg-herbie
Counts
159 → 159
Iterations

Useful iterations: 0 (70.0ms)

IterNodesCost
062002282

prune158.0ms (3.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1581159
Fresh123
Picked011
Done011
Total1595164

Merged error: 0b

Counts
164 → 5
Compiler

Compiled 3111 to 1221 computations (60.8% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 x (-.f64 y t))
1.8b
(/.f64 (/.f64 x (-.f64 y t)) (-.f64 y z))

rewrite46.0ms (0.9%)

Algorithm
rewrite-expression-head
Rules
210×times-frac_binary64_6621
176×add-sqr-sqrt_binary64_6637 *-un-lft-identity_binary64_6615
88×add-cube-cbrt_binary64_6650
44×difference-of-squares_binary64_6584 distribute-lft-out--_binary64_6567
24×associate-/l*_binary64_6560
16×associate-/r/_binary64_6561
10×associate-/r*_binary64_6559
add-cbrt-cube_binary64_6651 add-exp-log_binary64_6653
div-inv_binary64_6612 flip--_binary64_6590 flip3--_binary64_6619
div-exp_binary64_6666 cbrt-undiv_binary64_6649
pow1_binary64_6676 add-log-exp_binary64_6654 frac-2neg_binary64_6626 clear-num_binary64_6614
associate-/l/_binary64_6562
Counts
2 → 185
Calls

2 calls:

15.0ms
(/.f64 (/.f64 x (-.f64 y t)) (-.f64 y z))
6.0ms
(/.f64 x (-.f64 y t))

series272.0ms (5.3%)

Counts
2 → 6
Calls

2 calls:

202.0ms
(/.f64 (/.f64 x (-.f64 y t)) (-.f64 y z))
70.0ms
(/.f64 x (-.f64 y t))

simplify119.0ms (2.3%)

Algorithm
egg-herbie
Counts
191 → 191
Iterations

Useful iterations: 0 (69.0ms)

IterNodesCost
053844775

prune156.0ms (3.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1910191
Fresh022
Picked011
Done022
Total1915196

Merged error: 0b

Counts
196 → 5
Compiler

Compiled 4114 to 967 computations (76.5% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(/.f64 x (-.f64 y t))
0.6b
(/.f64 1 (/.f64 (-.f64 y z) (/.f64 x (-.f64 y t))))
1.8b
(/.f64 (-.f64 y z) (/.f64 x (-.f64 y t)))

rewrite194.0ms (3.8%)

Algorithm
rewrite-expression-head
Rules
1260×times-frac_binary64_6621
844×add-sqr-sqrt_binary64_6637 *-un-lft-identity_binary64_6615
468×add-cube-cbrt_binary64_6650
188×difference-of-squares_binary64_6584 distribute-lft-out--_binary64_6567
136×associate-/r*_binary64_6559
60×associate-/r/_binary64_6561
33×div-inv_binary64_6612
31×add-exp-log_binary64_6653
28×flip--_binary64_6590 flip3--_binary64_6619
19×div-exp_binary64_6666 add-cbrt-cube_binary64_6651
11×associate-/l*_binary64_6560
10×cbrt-undiv_binary64_6649
pow1_binary64_6676
rec-exp_binary64_6665 add-log-exp_binary64_6654 1-exp_binary64_6659 frac-2neg_binary64_6626 clear-num_binary64_6614
associate-/l/_binary64_6562
inv-pow_binary64_6700 div-sub_binary64_6620 pow-flip_binary64_6689
Counts
3 → 654
Calls

3 calls:

41.0ms
(/.f64 1 (/.f64 (-.f64 y z) (/.f64 x (-.f64 y t))))
15.0ms
(/.f64 (-.f64 y z) (/.f64 x (-.f64 y t)))
6.0ms
(/.f64 x (-.f64 y t))

series491.0ms (9.6%)

Counts
3 → 9
Calls

3 calls:

320.0ms
(/.f64 1 (/.f64 (-.f64 y z) (/.f64 x (-.f64 y t))))
106.0ms
(/.f64 (-.f64 y z) (/.f64 x (-.f64 y t)))
65.0ms
(/.f64 x (-.f64 y t))

simplify212.0ms (4.1%)

Algorithm
egg-herbie
Counts
663 → 663
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
0498520181
1498520181

prune798.0ms (15.6%)

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New6630663
Fresh011
Picked011
Done033
Total6635668

Merged error: 0b

Counts
668 → 5
Compiler

Compiled 16982 to 4371 computations (74.3% saved)

regimes97.0ms (1.9%)

Compiler

Compiled 475 to 460 computations (3.2% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05116
15116

end0.0ms (0%)

sample667.0ms (13%)

Algorithm
intervals
Results
299.0ms8000×body128valid
15.0ms413×body128invalid
Compiler

Compiled 82 to 79 computations (3.7% saved)

Profiling

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