Details

Time bar (total: 3.0s)

analyze504.0ms (16.9%)

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)

sample26.0ms (0.9%)

Algorithm
1×intervals
Results
6.0ms184×body128valid
3.0ms22×body1024valid
2.0ms17×body2048valid
2.0ms21×body512valid
1.0ms35×body128invalid
1.0ms7×body1024invalid
1.0ms12×body256valid
1.0ms6×body512invalid
0.0ms5×body256invalid
Compiler

Compiled 31 to 22 computations (29% saved)

simplify341.0ms (11.4%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (184.0ms)

IterNodesCost
064627

prune8.0ms (0.3%)

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 30 to 24 computations (20% 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
9×add-sqr-sqrt_binary64_16613
7×*-un-lft-identity_binary64_16591
6×cancel-sign-sub-inv_binary64_16557
5×add-cube-cbrt_binary64_16626 associate-*r*_binary64_16531
4×distribute-rgt-in_binary64_16541 distribute-lft-in_binary64_16540
3×associate-*l*_binary64_16532 pow1_binary64_16652 add-cbrt-cube_binary64_16627 add-exp-log_binary64_16629
2×sub-neg_binary64_16584 associate-*r/_binary64_16533
1×distribute-lft-out--_binary64_16543 flip--_binary64_16566 prod-exp_binary64_16640 *-commutative_binary64_16522 pow-prod-down_binary64_16662 unswap-sqr_binary64_16559 cbrt-unprod_binary64_16624 flip3--_binary64_16595 add-log-exp_binary64_16630 difference-of-squares_binary64_16560
Counts
1 → 30
Calls

1 calls:

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

series64.0ms (2.2%)

Counts
1 → 3
Calls

1 calls:

64.0ms
(*.f64 y (-.f64 x z))

simplify39.0ms (1.3%)

Algorithm
1×egg-herbie
Counts
33 → 33
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
04997314
14997314

prune24.0ms (0.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New31233
Fresh000
Picked011
Done000
Total31334

Merged error: 0b

Counts
34 → 3
Compiler

Compiled 366 to 119 computations (67.5% saved)

localize8.0ms (0.3%)

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)

rewrite17.0ms (0.6%)

Algorithm
1×rewrite-expression-head
Rules
25×cbrt-prod_binary64_16622
23×add-sqr-sqrt_binary64_16613
15×add-cube-cbrt_binary64_16626 *-un-lft-identity_binary64_16591
11×pow1_binary64_16652
9×pow1/3_binary64_16673
6×swap-sqr_binary64_16558 associate-*l*_binary64_16532 associate-*r*_binary64_16531 add-exp-log_binary64_16629
4×unswap-sqr_binary64_16559 add-log-exp_binary64_16630 add-cbrt-cube_binary64_16627
2×pow-sqr_binary64_16564 pow-prod-down_binary64_16662 pow-prod-up_binary64_16661
1×prod-exp_binary64_16640 pow-plus_binary64_16654 *-commutative_binary64_16522 pow2_binary64_16672 cbrt-unprod_binary64_16624
Counts
4 → 73
Calls

4 calls:

7.0ms
(*.f64 (cbrt.f64 y) (cbrt.f64 y))
1.0ms
(cbrt.f64 y)
1.0ms
(cbrt.f64 y)
1.0ms
(cbrt.f64 y)

series643.0ms (21.6%)

Counts
4 → 12
Calls

4 calls:

175.0ms
(*.f64 (cbrt.f64 y) (cbrt.f64 y))
162.0ms
(cbrt.f64 y)
157.0ms
(cbrt.f64 y)
149.0ms
(cbrt.f64 y)

simplify54.0ms (1.8%)

Algorithm
1×egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
05245563

prune60.0ms (2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New85085
Fresh011
Picked011
Done011
Total85388

Merged error: 0b

Counts
88 → 3
Compiler

Compiled 1290 to 355 computations (72.5% 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))

rewrite25.0ms (0.9%)

Algorithm
1×rewrite-expression-head
Rules
13×add-sqr-sqrt_binary64_16613
11×associate-*l*_binary64_16532
9×*-un-lft-identity_binary64_16591 pow1_binary64_16652 add-cbrt-cube_binary64_16627 add-exp-log_binary64_16629
7×add-cube-cbrt_binary64_16626 sqrt-prod_binary64_16607 associate-*r*_binary64_16531
4×associate-*l/_binary64_16534 prod-exp_binary64_16640 pow-prod-down_binary64_16662 cbrt-unprod_binary64_16624
2×flip--_binary64_16566 *-commutative_binary64_16522 associate-*r/_binary64_16533 unswap-sqr_binary64_16559 flip3--_binary64_16595 add-log-exp_binary64_16630
1×distribute-lft-out--_binary64_16543 difference-of-squares_binary64_16560
Counts
2 → 49
Calls

2 calls:

12.0ms
(*.f64 (sqrt.f64 y) (*.f64 (-.f64 x z) (sqrt.f64 y)))
10.0ms
(*.f64 (-.f64 x z) (sqrt.f64 y))

series165.0ms (5.5%)

Counts
2 → 6
Calls

2 calls:

88.0ms
(*.f64 (-.f64 x z) (sqrt.f64 y))
77.0ms
(*.f64 (sqrt.f64 y) (*.f64 (-.f64 x z) (sqrt.f64 y)))

simplify49.0ms (1.6%)

Algorithm
1×egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
04989641
14989641

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 721 to 199 computations (72.4% saved)

regimes28.0ms (1%)

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%)

sample868.0ms (29.2%)

Algorithm
1×intervals
Results
199.0ms5739×body128valid
105.0ms889×body1024valid
75.0ms490×body2048valid
52.0ms553×body512valid
44.0ms1325×body128invalid
25.0ms217×body1024invalid
25.0ms283×body512invalid
20.0ms329×body256valid
13.0ms208×body256invalid
Compiler

Compiled 52 to 43 computations (17.3% saved)

Profiling

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