Details

Time bar (total: 3.1s)

analyze542.0ms (17.4%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
0%99.9%0.1%6
12.5%87.4%0.1%7
18.7%81.1%0.1%8
34.3%65.5%0.1%9
39%60.8%0.1%10
41.3%58.5%0.1%11
52.7%47.2%0.1%12
54%45.7%0.2%13
55.3%43.8%0.9%14
Compiler

Compiled 16 to 10 computations (37.5% saved)

sample27.0ms (0.9%)

Algorithm
1×intervals
Results
7.0ms184×body128valid
3.0ms22×body1024valid
3.0ms17×body2048valid
2.0ms21×body512valid
2.0ms45×body128invalid
1.0ms12×body256valid
0.0ms4×body512invalid
0.0ms2×body1024invalid
0.0ms2×body256invalid
Compiler

Compiled 31 to 22 computations (29% saved)

simplify346.0ms (11.1%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (180.0ms)

IterNodesCost
066367

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 0.0b

Counts
2 → 1
Compiler

Compiled 10 to 10 computations (0% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b
(*.f64 y (-.f64 x z))

rewrite10.0ms (0.3%)

Algorithm
1×rewrite-expression-head
Rules
7×add-sqr-sqrt_binary64_9534
5×associate-*r*_binary64_9455 *-un-lft-identity_binary64_9513
3×add-cube-cbrt_binary64_9545 add-exp-log_binary64_9548 associate-*l*_binary64_9456 add-cbrt-cube_binary64_9546 pow1_binary64_9571
2×sub-neg_binary64_9506 associate-*r/_binary64_9457
1×pow-prod-down_binary64_9581 difference-of-squares_binary64_9482 prod-exp_binary64_9559 add-log-exp_binary64_9549 distribute-lft-out--_binary64_9467 unswap-sqr_binary64_9481 flip3--_binary64_9517 *-commutative_binary64_9446 distribute-lft-in_binary64_9464 distribute-rgt-in_binary64_9465 flip--_binary64_9488 cbrt-unprod_binary64_9543
Counts
1 → 24
Calls

1 calls:

8.0ms
(*.f64 y (-.f64 x z))

series72.0ms (2.3%)

Counts
1 → 3
Calls

1 calls:

72.0ms
(*.f64 y (-.f64 x z))

simplify54.0ms (1.7%)

Algorithm
1×egg-herbie
Counts
27 → 27
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
05388254

prune16.0ms (0.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New25227
Fresh000
Picked011
Done000
Total25328

Merged error: 0b

Counts
28 → 3
Compiler

Compiled 275 to 86 computations (68.7% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b
(*.f64 (cbrt.f64 y) (cbrt.f64 y))
0.6b
(cbrt.f64 y)
0.6b
(cbrt.f64 y)
0.6b
(cbrt.f64 y)

rewrite15.0ms (0.5%)

Algorithm
1×rewrite-expression-head
Rules
25×cbrt-prod_binary64_9541
23×add-sqr-sqrt_binary64_9534
15×add-cube-cbrt_binary64_9545 *-un-lft-identity_binary64_9513
11×pow1_binary64_9571
9×pow1/3_binary64_9592
6×associate-*r*_binary64_9455 add-exp-log_binary64_9548 associate-*l*_binary64_9456 swap-sqr_binary64_9480
4×add-log-exp_binary64_9549 add-cbrt-cube_binary64_9546 unswap-sqr_binary64_9481
2×pow-prod-down_binary64_9581 pow-sqr_binary64_9486 pow-prod-up_binary64_9580
1×pow-plus_binary64_9573 prod-exp_binary64_9559 *-commutative_binary64_9446 pow2_binary64_9591 cbrt-unprod_binary64_9543
Counts
4 → 73
Calls

4 calls:

6.0ms
(*.f64 (cbrt.f64 y) (cbrt.f64 y))
1.0ms
(cbrt.f64 y)
1.0ms
(cbrt.f64 y)
1.0ms
(cbrt.f64 y)

series643.0ms (20.7%)

Counts
4 → 12
Calls

4 calls:

171.0ms
(*.f64 (cbrt.f64 y) (cbrt.f64 y))
165.0ms
(cbrt.f64 y)
159.0ms
(cbrt.f64 y)
148.0ms
(cbrt.f64 y)

simplify70.0ms (2.3%)

Algorithm
1×egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
04957563
14957563

prune58.0ms (1.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New85085
Fresh011
Picked011
Done011
Total85388

Merged error: 0b

Counts
88 → 3
Compiler

Compiled 1253 to 326 computations (74% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.1b
(*.f64 (sqrt.f64 y) (*.f64 (-.f64 x z) (sqrt.f64 y)))
0.1b
(*.f64 (-.f64 x z) (sqrt.f64 y))

rewrite24.0ms (0.8%)

Algorithm
1×rewrite-expression-head
Rules
13×add-sqr-sqrt_binary64_9534
11×associate-*l*_binary64_9456
9×add-exp-log_binary64_9548 *-un-lft-identity_binary64_9513 add-cbrt-cube_binary64_9546 pow1_binary64_9571
7×associate-*r*_binary64_9455 add-cube-cbrt_binary64_9545 sqrt-prod_binary64_9528
4×pow-prod-down_binary64_9581 associate-*l/_binary64_9458 prod-exp_binary64_9559 cbrt-unprod_binary64_9543
2×add-log-exp_binary64_9549 unswap-sqr_binary64_9481 flip3--_binary64_9517 *-commutative_binary64_9446 flip--_binary64_9488 associate-*r/_binary64_9457
1×difference-of-squares_binary64_9482 distribute-lft-out--_binary64_9467
Counts
2 → 49
Calls

2 calls:

11.0ms
(*.f64 (sqrt.f64 y) (*.f64 (-.f64 x z) (sqrt.f64 y)))
9.0ms
(*.f64 (-.f64 x z) (sqrt.f64 y))

series169.0ms (5.4%)

Counts
2 → 6
Calls

2 calls:

99.0ms
(*.f64 (-.f64 x z) (sqrt.f64 y))
70.0ms
(*.f64 (sqrt.f64 y) (*.f64 (-.f64 x z) (sqrt.f64 y)))

simplify66.0ms (2.1%)

Algorithm
1×egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
04975641
14975641

prune33.0ms (1.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New55055
Fresh000
Picked011
Done022
Total55358

Merged error: 0b

Counts
58 → 3
Compiler

Compiled 691 to 173 computations (75% saved)

regimes28.0ms (0.9%)

Compiler

Compiled 84 to 78 computations (7.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0177
1177

end0.0ms (0%)

sample914.0ms (29.4%)

Algorithm
1×intervals
Results
215.0ms5741×body128valid
118.0ms888×body1024valid
77.0ms490×body2048valid
56.0ms1534×body128invalid
55.0ms558×body512valid
21.0ms323×body256valid
20.0ms156×body1024invalid
18.0ms181×body512invalid
11.0ms162×body256invalid
Compiler

Compiled 52 to 43 computations (17.3% saved)

Profiling

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