Details

Time bar (total: 8.4s)

analyze1.3s (15.1%)

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
12.5%87.3%0.2%8
18.7%81.1%0.2%9
22.6%77.2%0.2%10
25%74.9%0.2%11
39.4%60.4%0.2%12
46.5%53.2%0.3%13
48%51.4%0.6%14
Compiler

Compiled 12 to 11 computations (8.3% saved)

sample37.0ms (0.4%)

Algorithm
intervals
Results
18.0ms256×body128valid
1.0ms22×body128invalid
Compiler

Compiled 23 to 25 computations (-8.7% saved)

simplify325.0ms (3.8%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (143.0ms)

IterNodesCost
0119613
1119613

prune7.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 3.6b

Counts
2 → 2
Compiler

Compiled 29 to 28 computations (3.4% saved)

localize14.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(/.f64 2 (-.f64 y t))
0.2b
(/.f64 (/.f64 2 (-.f64 y t)) z)
3.7b
(*.f64 x (/.f64 (/.f64 2 (-.f64 y t)) z))

rewrite135.0ms (1.6%)

Algorithm
rewrite-expression-head
Rules
249×times-frac_binary64_14406
180×add-sqr-sqrt_binary64_14422
171×*-un-lft-identity_binary64_14400
121×add-cube-cbrt_binary64_14435
67×associate-*r*_binary64_14340
25×difference-of-squares_binary64_14369 distribute-lft-out--_binary64_14352
24×associate-/l*_binary64_14345
19×add-exp-log_binary64_14438 add-cbrt-cube_binary64_14436
16×associate-/r/_binary64_14346
10×div-inv_binary64_14397
associate-/r*_binary64_14344 flip--_binary64_14375 flip3--_binary64_14404
cbrt-undiv_binary64_14434 div-exp_binary64_14451
pow1_binary64_14461
cbrt-unprod_binary64_14433 prod-exp_binary64_14449 add-log-exp_binary64_14439 associate-*l*_binary64_14341 unswap-sqr_binary64_14368
frac-2neg_binary64_14411 clear-num_binary64_14399
associate-/l/_binary64_14347 pow-prod-down_binary64_14471 associate-*r/_binary64_14342 *-commutative_binary64_14331
Counts
3 → 228
Calls

3 calls:

51.0ms
(*.f64 x (/.f64 (/.f64 2 (-.f64 y t)) z))
21.0ms
(/.f64 (/.f64 2 (-.f64 y t)) z)
11.0ms
(/.f64 2 (-.f64 y t))

series290.0ms (3.4%)

Counts
3 → 9
Calls

3 calls:

147.0ms
(*.f64 x (/.f64 (/.f64 2 (-.f64 y t)) z))
93.0ms
(/.f64 (/.f64 2 (-.f64 y t)) z)
51.0ms
(/.f64 2 (-.f64 y t))

simplify176.0ms (2.1%)

Algorithm
egg-herbie
Counts
237 → 237
Iterations

Useful iterations: 0 (95.0ms)

IterNodesCost
050314394

prune410.0ms (4.9%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New2307237
Fresh011
Picked011
Done000
Total2309239

Merged error: 0b

Counts
239 → 9
Compiler

Compiled 4441 to 2065 computations (53.5% saved)

localize14.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(*.f64 (-.f64 y t) z)
0.6b
(/.f64 2 (*.f64 (-.f64 y t) z))
3.7b
(*.f64 x (/.f64 2 (*.f64 (-.f64 y t) z)))

rewrite54.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
19×add-exp-log_binary64_14438 add-cbrt-cube_binary64_14436
16×add-sqr-sqrt_binary64_14422
12×*-un-lft-identity_binary64_14400 associate-*r*_binary64_14340
10×add-cube-cbrt_binary64_14435
associate-*l*_binary64_14341
pow1_binary64_14461
associate-*l/_binary64_14343 cbrt-unprod_binary64_14433 prod-exp_binary64_14449 times-frac_binary64_14406
cbrt-undiv_binary64_14434 div-exp_binary64_14451 associate-/r/_binary64_14346
flip--_binary64_14375 flip3--_binary64_14404 add-log-exp_binary64_14439 associate-/l*_binary64_14345
pow-prod-down_binary64_14471 div-inv_binary64_14397 *-commutative_binary64_14331 unswap-sqr_binary64_14368
associate-/r*_binary64_14344 frac-2neg_binary64_14411 difference-of-squares_binary64_14369 clear-num_binary64_14399 associate-*r/_binary64_14342 distribute-lft-out--_binary64_14352
Counts
3 → 74
Calls

3 calls:

19.0ms
(*.f64 x (/.f64 2 (*.f64 (-.f64 y t) z)))
13.0ms
(*.f64 (-.f64 y t) z)
13.0ms
(/.f64 2 (*.f64 (-.f64 y t) z))

series297.0ms (3.5%)

Counts
3 → 9
Calls

3 calls:

155.0ms
(*.f64 x (/.f64 2 (*.f64 (-.f64 y t) z)))
94.0ms
(/.f64 2 (*.f64 (-.f64 y t) z))
49.0ms
(*.f64 (-.f64 y t) z)

simplify119.0ms (1.4%)

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 0 (91.0ms)

IterNodesCost
05410969

prune112.0ms (1.3%)

Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New80383
Fresh347
Picked011
Done011
Total83992

Merged error: 0b

Counts
92 → 9
Compiler

Compiled 1171 to 574 computations (51% saved)

localize14.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 (-.f64 y t) z)
3.9b
(/.f64 (*.f64 x 2) (*.f64 (-.f64 y t) z))

rewrite35.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
16×add-exp-log_binary64_14438 add-cbrt-cube_binary64_14436
add-sqr-sqrt_binary64_14422
*-un-lft-identity_binary64_14400
cbrt-unprod_binary64_14433 prod-exp_binary64_14449 associate-*l*_binary64_14341
associate-*l/_binary64_14343 cbrt-undiv_binary64_14434 div-exp_binary64_14451 add-cube-cbrt_binary64_14435 pow1_binary64_14461
associate-*r*_binary64_14340
flip--_binary64_14375 flip3--_binary64_14404 add-log-exp_binary64_14439 associate-/r/_binary64_14346
associate-/r*_binary64_14344 pow-prod-down_binary64_14471 frac-2neg_binary64_14411 difference-of-squares_binary64_14369 clear-num_binary64_14399 div-inv_binary64_14397 distribute-lft-out--_binary64_14352 *-commutative_binary64_14331 times-frac_binary64_14406 unswap-sqr_binary64_14368 associate-/l*_binary64_14345
Counts
2 → 45
Calls

2 calls:

16.0ms
(/.f64 (*.f64 x 2) (*.f64 (-.f64 y t) z))
12.0ms
(*.f64 (-.f64 y t) z)

series191.0ms (2.3%)

Counts
2 → 6
Calls

2 calls:

138.0ms
(/.f64 (*.f64 x 2) (*.f64 (-.f64 y t) z))
53.0ms
(*.f64 (-.f64 y t) z)

simplify115.0ms (1.4%)

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 0 (92.0ms)

IterNodesCost
05374587

prune76.0ms (0.9%)

Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New50151
Fresh156
Picked011
Done022
Total51960

Merged error: 0b

Counts
60 → 9
Compiler

Compiled 726 to 356 computations (51% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b
(/.f64 (/.f64 (sqrt.f64 2) (-.f64 y t)) z)
0.4b
(/.f64 (sqrt.f64 2) (-.f64 y t))
0.4b
(*.f64 x (sqrt.f64 2))
3.7b
(*.f64 (*.f64 x (sqrt.f64 2)) (/.f64 (/.f64 (sqrt.f64 2) (-.f64 y t)) z))

rewrite195.0ms (2.3%)

Algorithm
rewrite-expression-head
Rules
456×times-frac_binary64_14406
321×add-sqr-sqrt_binary64_14422
317×*-un-lft-identity_binary64_14400
219×add-cube-cbrt_binary64_14435
127×sqrt-prod_binary64_14416
118×associate-*r*_binary64_14340
49×difference-of-squares_binary64_14369 distribute-lft-out--_binary64_14352
42×associate-/l*_binary64_14345
34×add-exp-log_binary64_14438 add-cbrt-cube_binary64_14436
16×associate-/r/_binary64_14346
11×pow1_binary64_14461
10×cbrt-unprod_binary64_14433 prod-exp_binary64_14449 cbrt-undiv_binary64_14434 div-exp_binary64_14451 div-inv_binary64_14397
associate-/r*_binary64_14344 flip--_binary64_14375 flip3--_binary64_14404
pow-prod-down_binary64_14471 add-log-exp_binary64_14439 associate-*l*_binary64_14341
frac-2neg_binary64_14411 clear-num_binary64_14399 *-commutative_binary64_14331 unswap-sqr_binary64_14368
associate-/l/_binary64_14347 associate-*r/_binary64_14342
Counts
4 → 375
Calls

4 calls:

54.0ms
(*.f64 (*.f64 x (sqrt.f64 2)) (/.f64 (/.f64 (sqrt.f64 2) (-.f64 y t)) z))
27.0ms
(/.f64 (/.f64 (sqrt.f64 2) (-.f64 y t)) z)
19.0ms
(/.f64 (sqrt.f64 2) (-.f64 y t))
9.0ms
(*.f64 x (sqrt.f64 2))

series534.0ms (6.3%)

Counts
4 → 12
Calls

4 calls:

262.0ms
(*.f64 (*.f64 x (sqrt.f64 2)) (/.f64 (/.f64 (sqrt.f64 2) (-.f64 y t)) z))
146.0ms
(/.f64 (/.f64 (sqrt.f64 2) (-.f64 y t)) z)
80.0ms
(/.f64 (sqrt.f64 2) (-.f64 y t))
46.0ms
(*.f64 x (sqrt.f64 2))

simplify259.0ms (3.1%)

Algorithm
egg-herbie
Counts
387 → 387
Iterations

Useful iterations: 0 (112.0ms)

IterNodesCost
050128407

prune858.0ms (10.2%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New3861387
Fresh235
Picked011
Done123
Total3897396

Merged error: 0b

Counts
396 → 7
Compiler

Compiled 8699 to 4804 computations (44.8% saved)

regimes759.0ms (9%)

Compiler

Compiled 3756 to 3188 computations (15.1% saved)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02843
12843

end0.0ms (0%)

sample2.1s (25.1%)

Algorithm
intervals
Results
547.0ms8000×body128valid
51.0ms686×body128invalid
Compiler

Compiled 611 to 490 computations (19.8% saved)

Profiling

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