Details

analyze738.0ms (8.3%)

Algorithm

2×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	376	52
1	376	52
0	3	3
1	3	3

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	5
6.2%	93.6%	0.1%	6
6.2%	93.6%	0.1%	6
15.6%	84.3%	0.1%	7
15.6%	84.3%	0.1%	7
25%	74.9%	0.1%	8
25%	74.9%	0.1%	8
37.4%	62.4%	0.1%	9
37.4%	62.4%	0.1%	9
46.8%	53%	0.1%	10
46.8%	53%	0.1%	10
55%	44.9%	0.1%	11
55%	44.9%	0.1%	11
64.2%	35.7%	0.1%	12
64.2%	35.7%	0.1%	12
70.3%	29.5%	0.1%	13
70.3%	29.5%	0.1%	13
75.4%	24.4%	0.1%	14
75.4%	24.4%	0.1%	14

Compiler

Compiled 24 to 18 computations (25% saved)

sample112.0ms (1.3%)

Algorithm

2×

intervals

Results

12.0ms	474×	body	128	valid
1.0ms	16×	body	1024	valid
1.0ms	12×	body	512	valid
0.0ms	3×	body	2048	valid
0.0ms	7×	body	256	valid

Compiler

Compiled 3107 to 3104 computations (0.1% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	149	13
1	149	13

prune4.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

0.1b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))

rewrite26.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

6×	`add-log-exp_binary64_3527`
3×	`sum-log_binary64_3579` `*-un-lft-identity_binary64_3488`
1×	`pow1_binary64_3549` `add-exp-log_binary64_3526` `add-cbrt-cube_binary64_3524` `add-cube-cbrt_binary64_3523` `add-sqr-sqrt_binary64_3510` `flip3-+_binary64_3491` `flip-+_binary64_3462` `distribute-lft-out_binary64_3439` `associate-+r+_binary64_3420` `+-commutative_binary64_3418`

Counts

1 → 14

Calls

1 calls:

8.0ms

(+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))

Compiler

Compiled 253 to 135 computations (46.6% saved)

series195.0ms (2.2%)

Error

0.1b

Counts

1 → 18

Calls

1 calls:

179.0ms

(+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))

Compiler

Compiled 305 to 284 computations (6.9% saved)

simplify59.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5241	419

prune32.0ms (0.4%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	28	4	32
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	29	4	33

Error

0.0b

Counts

33 → 4

Compiler

Compiled 426 to 208 computations (51.2% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(+.f64 (+.f64 z (+.f64 y y)) (*.f64 3 x))

rewrite26.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

10×	`add-log-exp_binary64_3527`
6×	`sum-log_binary64_3579`
1×	`pow1_binary64_3549` `add-exp-log_binary64_3526` `add-cbrt-cube_binary64_3524` `add-cube-cbrt_binary64_3523` `add-sqr-sqrt_binary64_3510` `flip3-+_binary64_3491` `*-un-lft-identity_binary64_3488` `flip-+_binary64_3462` `associate-+l+_binary64_3421` `+-commutative_binary64_3418`

Counts

1 → 14

Calls

1 calls:

12.0ms

(+.f64 (+.f64 z (+.f64 y y)) (*.f64 3 x))

Compiler

Compiled 256 to 118 computations (53.9% saved)

series200.0ms (2.3%)

Error

0.0b

Counts

1 → 18

Calls

1 calls:

191.0ms

(+.f64 (+.f64 z (+.f64 y y)) (*.f64 3 x))

Compiler

Compiled 305 to 284 computations (6.9% saved)

simplify61.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5060	425

prune27.0ms (0.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	31	1	32
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	31	5	36

Error

0.0b

Counts

36 → 5

Compiler

Compiled 447 to 208 computations (53.5% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (+.f64 (+.f64 z (+.f64 y y)) (.f64 3 x))) (cbrt.f64 (+.f64 (+.f64 z (+.f64 y y)) (*.f64 3 x))))
0.5b	(cbrt.f64 (+.f64 (+.f64 z (+.f64 y y)) (*.f64 3 x)))
0.5b	(cbrt.f64 (+.f64 (+.f64 z (+.f64 y y)) (*.f64 3 x)))
0.5b	(cbrt.f64 (+.f64 (+.f64 z (+.f64 y y)) (*.f64 3 x)))

rewrite242.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`cbrt-prod_binary64_3519`
23×	`add-sqr-sqrt_binary64_3510`
18×	`cbrt-div_binary64_3520`
15×	`add-cube-cbrt_binary64_3523` `*-un-lft-identity_binary64_3488`
11×	`pow1_binary64_3549`
9×	`pow1/3_binary64_3570` `flip3-+_binary64_3491` `flip-+_binary64_3462`
6×	`add-exp-log_binary64_3526` `swap-sqr_binary64_3455` `associate-l_binary64_3429` `associate-r_binary64_3428`
4×	`add-log-exp_binary64_3527` `add-cbrt-cube_binary64_3524` `frac-times_binary64_3498` `unswap-sqr_binary64_3456`
2×	`pow-prod-down_binary64_3559` `pow-prod-up_binary64_3558` `pow-sqr_binary64_3461` `associate-l/_binary64_3431` `associate-r/_binary64_3430`
1×	`pow2_binary64_3569` `pow-plus_binary64_3551` `prod-exp_binary64_3537` `cbrt-unprod_binary64_3521` `*-commutative_binary64_3419`

Counts

4 → 87

Calls

4 calls:

22.0ms	(.f64 (cbrt.f64 (+.f64 (+.f64 z (+.f64 y y)) (.f64 3 x))) (cbrt.f64 (+.f64 (+.f64 z (+.f64 y y)) (*.f64 3 x))))
9.0ms	(cbrt.f64 (+.f64 (+.f64 z (+.f64 y y)) (*.f64 3 x)))
9.0ms	(cbrt.f64 (+.f64 (+.f64 z (+.f64 y y)) (*.f64 3 x)))
9.0ms	(cbrt.f64 (+.f64 (+.f64 z (+.f64 y y)) (*.f64 3 x)))

Compiler

Compiled 4124 to 1916 computations (53.5% saved)

series2.1s (23.9%)

Error

0.0b

Counts

4 → 67

Calls

4 calls:

1.0s	(.f64 (cbrt.f64 (+.f64 (+.f64 z (+.f64 y y)) (.f64 3 x))) (cbrt.f64 (+.f64 (+.f64 z (+.f64 y y)) (*.f64 3 x))))
323.0ms	(cbrt.f64 (+.f64 (+.f64 z (+.f64 y y)) (*.f64 3 x)))
318.0ms	(cbrt.f64 (+.f64 (+.f64 z (+.f64 y y)) (*.f64 3 x)))
310.0ms	(cbrt.f64 (+.f64 (+.f64 z (+.f64 y y)) (*.f64 3 x)))

Compiler

Compiled 9568 to 7277 computations (23.9% saved)

simplify73.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5223	5060

prune344.0ms (3.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	153	1	154
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	153	6	159

Error

0.0b

Counts

159 → 6

Compiler

Compiled 6512 to 3429 computations (47.3% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (+.f64 (+.f64 z (+.f64 y y)) (*.f64 3 x)))
0.5b	(cbrt.f64 (+.f64 (+.f64 z (+.f64 y y)) (*.f64 3 x)))
0.5b	(cbrt.f64 (+.f64 (*.f64 3 x) (+.f64 (+.f64 y y) z)))
0.9b	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (*.f64 3 x) (+.f64 (+.f64 y y) z)))) 4)

rewrite215.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

18×	`cbrt-prod_binary64_3519`
11×	`add-cube-cbrt_binary64_3523` `add-sqr-sqrt_binary64_3510` `*-un-lft-identity_binary64_3488`
9×	`unpow-prod-down_binary64_3567`
6×	`cbrt-div_binary64_3520`
5×	`pow1_binary64_3549` `add-exp-log_binary64_3526`
4×	`pow1/3_binary64_3570` `add-log-exp_binary64_3527` `add-cbrt-cube_binary64_3524`
3×	`pow-unpow_binary64_3565` `flip3-+_binary64_3491` `flip-+_binary64_3462`
2×	`pow-pow_binary64_3560`
1×	`pow-to-exp_binary64_3557` `pow-exp_binary64_3556` `sqr-pow_binary64_3460`

Counts

4 → 63

Calls

4 calls:

13.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (*.f64 3 x) (+.f64 (+.f64 y y) z)))) 4)
10.0ms	(cbrt.f64 (+.f64 (*.f64 3 x) (+.f64 (+.f64 y y) z)))
9.0ms	(cbrt.f64 (+.f64 (+.f64 z (+.f64 y y)) (*.f64 3 x)))
9.0ms	(cbrt.f64 (+.f64 (+.f64 z (+.f64 y y)) (*.f64 3 x)))

Compiler

Compiled 3728 to 1894 computations (49.2% saved)

series2.2s (24.3%)

Error

0.0b

Counts

4 → 56

Calls

4 calls:

1.0s	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (*.f64 3 x) (+.f64 (+.f64 y y) z)))) 4)
339.0ms	(cbrt.f64 (+.f64 (+.f64 z (+.f64 y y)) (*.f64 3 x)))
335.0ms	(cbrt.f64 (+.f64 (+.f64 z (+.f64 y y)) (*.f64 3 x)))
303.0ms	(cbrt.f64 (+.f64 (*.f64 3 x) (+.f64 (+.f64 y y) z)))

Compiler

Compiled 9389 to 6567 computations (30.1% saved)

simplify72.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4930	2795
1	4930	2795

prune326.0ms (3.7%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	119	0	119
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	119	6	125

Error

0.0b

Counts

125 → 6

Compiler

Compiled 6336 to 3456 computations (45.5% saved)

regimes323.0ms (3.7%)

Accuracy

Total 0.0b remaining (69.7%)

Threshold costs 0.0b (69.7%)

Compiler

Compiled 3612 to 2446 computations (32.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	13
1	12	13

end0.0ms (0%)

sample1.4s (16.4%)

Algorithm

1×

intervals

Results

418.0ms	7419×	body	128	valid
23.0ms	241×	body	1024	valid
11.0ms	158×	body	512	valid
10.0ms	83×	body	2048	valid
5.0ms	99×	body	256	valid
0.0ms	6×	body	128	invalid

Compiler

Compiled 917 to 623 computations (32.1% saved)

Details

analyze738.0ms (8.3%)

sample112.0ms (1.3%)

simplify9.0ms (0.1%)

prune4.0ms (0%)

localize6.0ms (0.1%)

rewrite26.0ms (0.3%)

series195.0ms (2.2%)

simplify59.0ms (0.7%)

prune32.0ms (0.4%)

localize6.0ms (0.1%)

rewrite26.0ms (0.3%)

series200.0ms (2.3%)

simplify61.0ms (0.7%)

prune27.0ms (0.3%)

localize13.0ms (0.1%)

rewrite242.0ms (2.7%)

series2.1s (23.9%)

simplify73.0ms (0.8%)

prune344.0ms (3.9%)

localize19.0ms (0.2%)

rewrite215.0ms (2.4%)

series2.2s (24.3%)

simplify72.0ms (0.8%)

prune326.0ms (3.7%)

regimes323.0ms (3.7%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.4s (16.4%)

Profiling