Details

Time bar (total: 6.9s)

analyze925.0ms (13.3%)

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
0%99.8%0.2%8
0%99.8%0.2%9
0%99.8%0.2%10
16.4%83.4%0.2%11
19.9%79.9%0.2%12
21.6%77.2%1.2%13
24.8%73.7%1.4%14
Compiler

Compiled 10 to 10 computations (0% saved)

sample27.0ms (0.4%)

Algorithm
intervals
Results
9.0ms256×body128valid
3.0ms93×body128invalid
Compiler

Compiled 19 to 24 computations (-26.3% saved)

simplify127.0ms (1.8%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
055113
155113

prune3.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 7.4b

Counts
2 → 1
Compiler

Compiled 18 to 18 computations (0% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.2b
(-.f64 (*.f64 x y) (*.f64 z t))
7.0b
(/.f64 (-.f64 (*.f64 x y) (*.f64 z t)) a)

rewrite23.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
10×add-cube-cbrt_binary64_24324 *-un-lft-identity_binary64_24289 add-sqr-sqrt_binary64_24311
times-frac_binary64_24295
add-log-exp_binary64_24328 add-cbrt-cube_binary64_24325 add-exp-log_binary64_24327
associate-/l*_binary64_24234 associate-/r*_binary64_24233
associate-/l/_binary64_24236 flip3--_binary64_24293 pow1_binary64_24350 flip--_binary64_24264
clear-num_binary64_24288 cbrt-undiv_binary64_24323 div-sub_binary64_24294 div-exp_binary64_24340 sub-neg_binary64_24282 cancel-sign-sub-inv_binary64_24255 div-inv_binary64_24286 diff-log_binary64_24381 frac-2neg_binary64_24300
Counts
2 → 42
Calls

2 calls:

7.0ms
(/.f64 (-.f64 (*.f64 x y) (*.f64 z t)) a)
4.0ms
(-.f64 (*.f64 x y) (*.f64 z t))

series413.0ms (6%)

Counts
2 → 51
Calls

2 calls:

273.0ms
(/.f64 (-.f64 (*.f64 x y) (*.f64 z t)) a)
140.0ms
(-.f64 (*.f64 x y) (*.f64 z t))
Compiler

Compiled 686 to 710 computations (-3.5% saved)

simplify45.0ms (0.6%)

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 0 (28.0ms)

IterNodesCost
049481331
149481331

prune94.0ms (1.4%)

Pruning

22 alts after pruning (22 fresh and 0 done)

PrunedKeptTotal
New712293
Fresh000
Picked101
Done000
Total722294

Merged error: 6.9b

Counts
94 → 22
Compiler

Compiled 1383 to 410 computations (70.4% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.2b
(-.f64 (*.f64 x y) (*.f64 z t))
7.0b
(*.f64 (-.f64 (*.f64 x y) (*.f64 z t)) (/.f64 1 a))

rewrite18.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt_binary64_24311
13×associate-*r*_binary64_24229
11×*-un-lft-identity_binary64_24289 times-frac_binary64_24295 add-exp-log_binary64_24327
10×add-cube-cbrt_binary64_24324
add-cbrt-cube_binary64_24325
add-log-exp_binary64_24328 prod-exp_binary64_24338 pow1_binary64_24350
flip3--_binary64_24293 unswap-sqr_binary64_24257 associate-*l*_binary64_24230 flip--_binary64_24264
frac-times_binary64_24299 div-exp_binary64_24340 cbrt-unprod_binary64_24322 associate-*l/_binary64_24232
cbrt-undiv_binary64_24323 un-div-inv_binary64_24287 sub-neg_binary64_24282 cancel-sign-sub-inv_binary64_24255 1-exp_binary64_24333 *-commutative_binary64_24220 div-inv_binary64_24286 rec-exp_binary64_24339 associate-*r/_binary64_24231 diff-log_binary64_24381 pow-prod-down_binary64_24360
Counts
2 → 52
Calls

2 calls:

10.0ms
(*.f64 (-.f64 (*.f64 x y) (*.f64 z t)) (/.f64 1 a))
4.0ms
(-.f64 (*.f64 x y) (*.f64 z t))

series444.0ms (6.4%)

Counts
2 → 51
Calls

2 calls:

294.0ms
(*.f64 (-.f64 (*.f64 x y) (*.f64 z t)) (/.f64 1 a))
149.0ms
(-.f64 (*.f64 x y) (*.f64 z t))
Compiler

Compiled 758 to 782 computations (-3.2% saved)

simplify65.0ms (0.9%)

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
053721442

prune82.0ms (1.2%)

Pruning

23 alts after pruning (22 fresh and 1 done)

PrunedKeptTotal
New1003103
Fresh21921
Picked011
Done000
Total10223125

Merged error: 6.9b

Counts
125 → 23
Compiler

Compiled 1625 to 584 computations (64.1% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.2b
(-.f64 (*.f64 x y) (*.f64 z t))
0.4b
(/.f64 1 (/.f64 a (-.f64 (*.f64 x y) (*.f64 z t))))
6.9b
(/.f64 a (-.f64 (*.f64 x y) (*.f64 z t)))

rewrite29.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
90×times-frac_binary64_24295
55×add-cube-cbrt_binary64_24324 *-un-lft-identity_binary64_24289 add-sqr-sqrt_binary64_24311
18×associate-/r*_binary64_24233
16×add-exp-log_binary64_24327
11×associate-/r/_binary64_24235
10×add-cbrt-cube_binary64_24325
div-exp_binary64_24340
div-inv_binary64_24286 flip3--_binary64_24293 associate-/l*_binary64_24234 flip--_binary64_24264
add-log-exp_binary64_24328
cbrt-undiv_binary64_24323 pow1_binary64_24350
clear-num_binary64_24288 1-exp_binary64_24333 rec-exp_binary64_24339 frac-2neg_binary64_24300
sub-neg_binary64_24282 cancel-sign-sub-inv_binary64_24255 diff-log_binary64_24381 pow-flip_binary64_24363 inv-pow_binary64_24374
Counts
3 → 125
Calls

3 calls:

8.0ms
(/.f64 1 (/.f64 a (-.f64 (*.f64 x y) (*.f64 z t))))
6.0ms
(/.f64 a (-.f64 (*.f64 x y) (*.f64 z t)))
4.0ms
(-.f64 (*.f64 x y) (*.f64 z t))

series691.0ms (10%)

Counts
3 → 74
Calls

3 calls:

305.0ms
(/.f64 1 (/.f64 a (-.f64 (*.f64 x y) (*.f64 z t))))
229.0ms
(/.f64 a (-.f64 (*.f64 x y) (*.f64 z t)))
157.0ms
(-.f64 (*.f64 x y) (*.f64 z t))
Compiler

Compiled 1499 to 1447 computations (3.5% saved)

simplify84.0ms (1.2%)

Algorithm
egg-herbie
Counts
199 → 199
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
051513965

prune156.0ms (2.3%)

Pruning

24 alts after pruning (22 fresh and 2 done)

PrunedKeptTotal
New1945199
Fresh41721
Picked011
Done011
Total19824222

Merged error: 6.9b

Counts
222 → 24
Compiler

Compiled 3615 to 978 computations (72.9% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.2b
(-.f64 (*.f64 x y) (*.f64 z t))
0.5b
(/.f64 1 (-.f64 (*.f64 x y) (*.f64 z t)))
6.8b
(/.f64 (/.f64 1 a) (/.f64 1 (-.f64 (*.f64 x y) (*.f64 z t))))

rewrite69.0ms (1%)

Algorithm
rewrite-expression-head
Rules
474×times-frac_binary64_24295
221×add-cube-cbrt_binary64_24324 *-un-lft-identity_binary64_24289 add-sqr-sqrt_binary64_24311
47×add-exp-log_binary64_24327
34×div-exp_binary64_24340
32×div-inv_binary64_24286
31×associate-/r/_binary64_24235
18×associate-/r*_binary64_24233
17×add-cbrt-cube_binary64_24325
16×flip3--_binary64_24293 associate-/l*_binary64_24234 flip--_binary64_24264
cbrt-undiv_binary64_24323 1-exp_binary64_24333 rec-exp_binary64_24339
add-log-exp_binary64_24328
pow1_binary64_24350
clear-num_binary64_24288 frac-2neg_binary64_24300
associate-/l/_binary64_24236 sub-neg_binary64_24282 cancel-sign-sub-inv_binary64_24255 diff-log_binary64_24381 pow-flip_binary64_24363 inv-pow_binary64_24374
Counts
3 → 300
Calls

3 calls:

15.0ms
(/.f64 (/.f64 1 a) (/.f64 1 (-.f64 (*.f64 x y) (*.f64 z t))))
6.0ms
(/.f64 1 (-.f64 (*.f64 x y) (*.f64 z t)))
4.0ms
(-.f64 (*.f64 x y) (*.f64 z t))

series580.0ms (8.4%)

Counts
3 → 73
Calls

3 calls:

291.0ms
(/.f64 (/.f64 1 a) (/.f64 1 (-.f64 (*.f64 x y) (*.f64 z t))))
147.0ms
(-.f64 (*.f64 x y) (*.f64 z t))
141.0ms
(/.f64 1 (-.f64 (*.f64 x y) (*.f64 z t)))
Compiler

Compiled 1548 to 1508 computations (2.6% saved)

simplify149.0ms (2.1%)

Algorithm
egg-herbie
Counts
373 → 373
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
0509710871

prune342.0ms (4.9%)

Pruning

24 alts after pruning (21 fresh and 3 done)

PrunedKeptTotal
New3721373
Fresh12021
Picked011
Done022
Total37324397

Merged error: 6.9b

Counts
397 → 24
Compiler

Compiled 8269 to 2525 computations (69.5% saved)

regimes912.0ms (13.2%)

Compiler

Compiled 9138 to 6832 computations (25.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04616
14616

end0.0ms (0%)

sample1.6s (23.4%)

Algorithm
intervals
Results
305.0ms8000×body128valid
106.0ms2952×body128invalid
Compiler

Compiled 985 to 737 computations (25.2% saved)

Profiling

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