Details

Time bar (total: 2.4s)

analyze465.0ms (19.4%)

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
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)

sample20.0ms (0.8%)

Algorithm
intervals
Results
8.0ms256×body80valid
0.0ms13×body80invalid
Compiler

Compiled 23 to 25 computations (-8.7% saved)

simplify205.0ms (8.5%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (195.0ms)

IterNodesCost
0501516

prune5.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.3b

Counts
2 → 1
Compiler

Compiled 22 to 20 computations (9.1% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 (-.f64 y z) (-.f64 y t))
7.7b
(/.f64 x (*.f64 (-.f64 y z) (-.f64 y t)))

rewrite21.0ms (0.9%)

Algorithm
rewrite-expression-head
Rules
12×flip3--_binary64 add-sqr-sqrt_binary64 flip--_binary64
10×*-un-lft-identity_binary64
add-exp-log_binary64 add-cbrt-cube_binary64
associate-/r/_binary64 frac-times_binary64
add-cube-cbrt_binary64
associate-*r*_binary64 associate-*l*_binary64
pow1_binary64 associate-*r/_binary64 associate-*l/_binary64
associate-/l*_binary64 times-frac_binary64
add-log-exp_binary64 sub-neg_binary64 cbrt-unprod_binary64 cbrt-undiv_binary64 prod-exp_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64 div-exp_binary64
pow-prod-down_binary64 associate-/r*_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 unswap-sqr_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64 *-commutative_binary64
Counts
2 → 61
Calls

2 calls:

10.0ms
(/.f64 x (*.f64 (-.f64 y z) (-.f64 y t)))
10.0ms
(*.f64 (-.f64 y z) (-.f64 y t))

series29.0ms (1.2%)

Counts
2 → 6
Calls

2 calls:

22.0ms
(/.f64 x (*.f64 (-.f64 y z) (-.f64 y t)))
7.0ms
(*.f64 (-.f64 y z) (-.f64 y t))

simplify67.0ms (2.8%)

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
049881074
149881074

prune50.0ms (2.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New65267
Fresh000
Picked011
Done000
Total65368

Merged error: 0b

Counts
68 → 3
Compiler

Compiled 1229 to 433 computations (64.8% saved)

localize8.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b
(*.f64 (-.f64 y z) (-.f64 y t))
0.8b
(/.f64 1 (*.f64 (-.f64 y z) (-.f64 y t)))
7.2b
(*.f64 x (/.f64 1 (*.f64 (-.f64 y z) (-.f64 y t))))

rewrite41.0ms (1.7%)

Algorithm
rewrite-expression-head
Rules
35×add-exp-log_binary64
20×associate-*r*_binary64
19×add-cbrt-cube_binary64
18×flip3--_binary64 add-sqr-sqrt_binary64 flip--_binary64
16×associate-/r/_binary64
14×*-un-lft-identity_binary64 prod-exp_binary64
12×frac-times_binary64
10×pow1_binary64 add-cube-cbrt_binary64
associate-*l*_binary64 div-exp_binary64
associate-*r/_binary64
cbrt-unprod_binary64 times-frac_binary64 associate-*l/_binary64
1-exp_binary64 cbrt-undiv_binary64 rec-exp_binary64
pow-prod-down_binary64 add-log-exp_binary64 associate-/l*_binary64
sub-neg_binary64 unswap-sqr_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64 div-inv_binary64 pow-flip_binary64 *-commutative_binary64
associate-/r*_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 clear-num_binary64 inv-pow_binary64 frac-2neg_binary64 un-div-inv_binary64
Counts
3 → 108
Calls

3 calls:

15.0ms
(*.f64 x (/.f64 1 (*.f64 (-.f64 y z) (-.f64 y t))))
10.0ms
(/.f64 1 (*.f64 (-.f64 y z) (-.f64 y t)))
10.0ms
(*.f64 (-.f64 y z) (-.f64 y t))

series41.0ms (1.7%)

Counts
3 → 9
Calls

3 calls:

20.0ms
(*.f64 x (/.f64 1 (*.f64 (-.f64 y z) (-.f64 y t))))
14.0ms
(/.f64 1 (*.f64 (-.f64 y z) (-.f64 y t)))
7.0ms
(*.f64 (-.f64 y z) (-.f64 y t))

simplify72.0ms (3%)

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
050531754

prune65.0ms (2.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1170117
Fresh011
Picked011
Done011
Total1173120

Merged error: 0b

Counts
120 → 3
Compiler

Compiled 2192 to 840 computations (61.7% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 x (-.f64 y z))
2.2b
(/.f64 (/.f64 x (-.f64 y z)) (-.f64 y t))

rewrite30.0ms (1.2%)

Algorithm
rewrite-expression-head
Rules
210×times-frac_binary64
176×*-un-lft-identity_binary64 add-sqr-sqrt_binary64
88×add-cube-cbrt_binary64
44×difference-of-squares_binary64 distribute-lft-out--_binary64
24×associate-/l*_binary64
16×associate-/r/_binary64
10×associate-/r*_binary64
add-exp-log_binary64 add-cbrt-cube_binary64
flip3--_binary64 div-inv_binary64 flip--_binary64
cbrt-undiv_binary64 div-exp_binary64
add-log-exp_binary64 pow1_binary64 clear-num_binary64 frac-2neg_binary64
associate-/l/_binary64
Counts
2 → 185
Calls

2 calls:

12.0ms
(/.f64 (/.f64 x (-.f64 y z)) (-.f64 y t))
6.0ms
(/.f64 x (-.f64 y z))

series31.0ms (1.3%)

Counts
2 → 6
Calls

2 calls:

20.0ms
(/.f64 (/.f64 x (-.f64 y z)) (-.f64 y t))
11.0ms
(/.f64 x (-.f64 y z))

simplify94.0ms (3.9%)

Algorithm
egg-herbie
Counts
191 → 191
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
050194775

prune85.0ms (3.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1910191
Fresh000
Picked011
Done022
Total1913194

Merged error: 0b

Counts
194 → 3
Compiler

Compiled 4090 to 945 computations (76.9% saved)

regimes245.0ms (10.2%)

Compiler

Compiled 307 to 306 computations (0.3% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04616
14616

end0.0ms (0%)

sample814.0ms (33.8%)

Algorithm
intervals
Results
274.0ms8000×body80valid
13.0ms412×body80invalid
Compiler

Compiled 58 to 57 computations (1.7% saved)

Profiling

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