Details

analyze917.0ms (29%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5233	91
0	4	4
1	4	4

Search

True	Other	False	Iter
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
6.2%	93.6%	0.2%	9
28.1%	68.6%	3.3%	10
29.6%	65.5%	4.9%	11
32%	61.7%	6.3%	12
35.5%	56.9%	7.6%	13
48%	38.7%	13.4%	14

Compiler

Compiled 16 to 12 computations (25% saved)

sample29.0ms (0.9%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
3.0ms	74×	body	128	invalid

Compiler

Compiled 31 to 27 computations (12.9% saved)

simplify83.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	1064	13
1	1064	13

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 24 to 19 computations (20.8% saved)

localize9.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (.f64 d1 d2) (.f64 d1 d3))
0.0b	(-.f64 (+.f64 (-.f64 (.f64 d1 d2) (.f64 d1 d3)) (.f64 d4 d1)) (.f64 d1 d1))
0.0b	(+.f64 (-.f64 (.f64 d1 d2) (.f64 d1 d3)) (*.f64 d4 d1))

rewrite22.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-log-exp_binary64_4550`
6×	`diff-log_binary64_4603`
4×	`sum-log_binary64_4602` `add-sqr-sqrt_binary64_4533`
3×	`pow1_binary64_4572` `add-cbrt-cube_binary64_4547` `add-exp-log_binary64_4549` `*-un-lft-identity_binary64_4511` `cancel-sign-sub-inv_binary64_4477` `sub-neg_binary64_4504` `add-cube-cbrt_binary64_4546`
2×	`flip--_binary64_4486` `associate-+l-_binary64_4446` `flip3--_binary64_4515` `associate-+l+_binary64_4444`
1×	`distribute-lft-out--_binary64_4463` `flip-+_binary64_4485` `flip3-+_binary64_4514` `+-commutative_binary64_4441` `associate--l+_binary64_4448` `associate--l-_binary64_4449` `difference-of-squares_binary64_4480`

Counts

3 → 45

Calls

3 calls:

9.0ms	(-.f64 (+.f64 (-.f64 (.f64 d1 d2) (.f64 d1 d3)) (.f64 d4 d1)) (.f64 d1 d1))
6.0ms	(+.f64 (-.f64 (.f64 d1 d2) (.f64 d1 d3)) (*.f64 d4 d1))
4.0ms	(-.f64 (.f64 d1 d2) (.f64 d1 d3))

series119.0ms (3.8%)

Counts

3 → 9

Calls

3 calls:

48.0ms	(-.f64 (+.f64 (-.f64 (.f64 d1 d2) (.f64 d1 d3)) (.f64 d4 d1)) (.f64 d1 d1))
39.0ms	(+.f64 (-.f64 (.f64 d1 d2) (.f64 d1 d3)) (*.f64 d4 d1))
32.0ms	(-.f64 (.f64 d1 d2) (.f64 d1 d3))

simplify54.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5022	777

prune46.0ms (1.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	53	1	54
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	53	2	55

Error

Counts

55 → 2

Compiler

Compiled 930 to 195 computations (79% saved)

localize13.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 d1 (-.f64 d2 d3))) (cbrt.f64 (*.f64 d1 (-.f64 d2 d3))))
3.7b	(cbrt.f64 (*.f64 d1 (-.f64 d2 d3)))
3.7b	(cbrt.f64 (*.f64 d1 (-.f64 d2 d3)))
3.7b	(cbrt.f64 (*.f64 d1 (-.f64 d2 d3)))

rewrite28.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`associate-*r/_binary64_4453`
18×	`cbrt-div_binary64_4543`
11×	`pow1_binary64_4572`
10×	`add-sqr-sqrt_binary64_4533`
9×	`flip--_binary64_4486` `pow1/3_binary64_4593` `flip3--_binary64_4515`
8×	`*-un-lft-identity_binary64_4511` `add-cube-cbrt_binary64_4546`
7×	`cbrt-prod_binary64_4542`
6×	`add-exp-log_binary64_4549`
4×	`add-cbrt-cube_binary64_4547` `add-log-exp_binary64_4550` `associate-l_binary64_4452` `associate-r_binary64_4451` `swap-sqr_binary64_4478` `frac-times_binary64_4521`
2×	`pow-prod-up_binary64_4581` `pow-sqr_binary64_4484` `pow-prod-down_binary64_4582` `associate-*l/_binary64_4454`
1×	`pow-plus_binary64_4574` `unswap-sqr_binary64_4479` `pow2_binary64_4592` `prod-exp_binary64_4560` `cbrt-unprod_binary64_4544` `*-commutative_binary64_4442`

Counts

4 → 72

Calls

4 calls:

7.0ms	(.f64 (cbrt.f64 (.f64 d1 (-.f64 d2 d3))) (cbrt.f64 (*.f64 d1 (-.f64 d2 d3))))
5.0ms	(cbrt.f64 (*.f64 d1 (-.f64 d2 d3)))
5.0ms	(cbrt.f64 (*.f64 d1 (-.f64 d2 d3)))
5.0ms	(cbrt.f64 (*.f64 d1 (-.f64 d2 d3)))

series599.0ms (18.9%)

Counts

4 → 12

Calls

4 calls:

169.0ms	(.f64 (cbrt.f64 (.f64 d1 (-.f64 d2 d3))) (cbrt.f64 (*.f64 d1 (-.f64 d2 d3))))
145.0ms	(cbrt.f64 (*.f64 d1 (-.f64 d2 d3)))
142.0ms	(cbrt.f64 (*.f64 d1 (-.f64 d2 d3)))
141.0ms	(cbrt.f64 (*.f64 d1 (-.f64 d2 d3)))

simplify117.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (96.0ms)

Iter	Nodes	Cost
0	4914	1213
1	4914	1213

prune83.0ms (2.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	84	2	86

Error

Counts

86 → 2

Compiler

Compiled 2638 to 527 computations (80% saved)

regimes110.0ms (3.5%)

Accuracy

Total 0.0b remaining (64.5%)

Threshold costs 0.0b (64.5%)

Compiler

Compiled 808 to 634 computations (21.5% saved)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	43	19
1	43	19

Compiler

Compiled 26 to 20 computations (23.1% saved)

end0.0ms (0%)

sample932.0ms (29.4%)

Algorithm

1×

intervals

Results

327.0ms	8000×	body	128	valid
90.0ms	2243×	body	128	invalid

Compiler

Compiled 192 to 150 computations (21.9% saved)

Details

analyze917.0ms (29%)

sample29.0ms (0.9%)

simplify83.0ms (2.6%)

prune3.0ms (0.1%)

localize9.0ms (0.3%)

rewrite22.0ms (0.7%)

series119.0ms (3.8%)

simplify54.0ms (1.7%)

prune46.0ms (1.4%)

localize13.0ms (0.4%)

rewrite28.0ms (0.9%)

series599.0ms (18.9%)

simplify117.0ms (3.7%)

prune83.0ms (2.6%)

regimes110.0ms (3.5%)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample932.0ms (29.4%)

Profiling