Details

analyze1.1s (16.8%)

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

Symmetry

(sort d2 d4)

Compiler

Compiled 16 to 12 computations (25% saved)

sample35.0ms (0.5%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
3.0ms	83×	body	128	invalid

Compiler

Compiled 31 to 27 computations (12.9% saved)

simplify82.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	1064	13
1	1064	13

prune4.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

2 → 2

Compiler

Compiled 33 to 27 computations (18.2% saved)

localize11.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite32.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

12×	`*-un-lft-identity_binary64_4511`
6×	`associate-r_binary64_4451`
5×	`add-sqr-sqrt_binary64_4533`
3×	`pow1_binary64_4572` `add-exp-log_binary64_4549` `add-cbrt-cube_binary64_4547` `add-cube-cbrt_binary64_4546` `associate-l_binary64_4452` `distribute-lft-out_binary64_4462` `distribute-lft-out--_binary64_4463`
2×	`associate-*r/_binary64_4453`
1×	`pow-prod-down_binary64_4582` `prod-exp_binary64_4560` `add-log-exp_binary64_4550` `cbrt-unprod_binary64_4544` `unswap-sqr_binary64_4479` `distribute-rgt-in_binary64_4461` `distribute-lft-in_binary64_4460` `flip3-+_binary64_4514` `flip-+_binary64_4485` `*-commutative_binary64_4442`

Counts

1 → 25

Calls

1 calls:

11.0ms

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

Compiler

Compiled 427 to 89 computations (79.2% saved)

series208.0ms (3.1%)

Error

0.0b

Counts

1 → 24

Calls

1 calls:

191.0ms

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

Compiler

Compiled 660 to 445 computations (32.6% saved)

simplify64.0ms (1%)

Algorithm

1×	egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4967	600
1	4967	600

prune38.0ms (0.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	46	3	49
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	46	5	51

Error

Counts

51 → 5

Compiler

Compiled 605 to 130 computations (78.5% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

rewrite57.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

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-exp-log_binary64_4549` `add-cbrt-cube_binary64_4547` `add-cube-cbrt_binary64_4546` `*-un-lft-identity_binary64_4511` `sub-neg_binary64_4504` `cancel-sign-sub-inv_binary64_4477`
2×	`flip3--_binary64_4515` `flip--_binary64_4486` `associate-+l-_binary64_4446` `associate-+l+_binary64_4444`
1×	`difference-of-squares_binary64_4480` `associate--l-_binary64_4449` `associate--l+_binary64_4448` `flip3-+_binary64_4514` `flip-+_binary64_4485` `+-commutative_binary64_4441` `distribute-lft-out--_binary64_4463`

Counts

3 → 45

Calls

3 calls:

9.0ms	(-.f64 (+.f64 (-.f64 (.f64 d1 d2) (.f64 d1 d3)) (.f64 d4 d1)) (.f64 d1 d1))
7.0ms	(+.f64 (-.f64 (.f64 d1 d2) (.f64 d1 d3)) (*.f64 d4 d1))
4.0ms	(-.f64 (.f64 d1 d2) (.f64 d1 d3))

Compiler

Compiled 1129 to 181 computations (84% saved)

series599.0ms (9%)

Error

Counts

3 → 60

Calls

3 calls:

274.0ms	(-.f64 (+.f64 (-.f64 (.f64 d1 d2) (.f64 d1 d3)) (.f64 d4 d1)) (.f64 d1 d1))
186.0ms	(+.f64 (-.f64 (.f64 d1 d2) (.f64 d1 d3)) (*.f64 d4 d1))
106.0ms	(-.f64 (.f64 d1 d2) (.f64 d1 d3))

Compiler

Compiled 1889 to 1092 computations (42.2% saved)

simplify63.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5185	1207

prune60.0ms (0.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	105	0	105
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	105	5	110

Error

Counts

110 → 5

Compiler

Compiled 1414 to 233 computations (83.5% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite33.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

10×	`*-un-lft-identity_binary64_4511`
9×	`add-sqr-sqrt_binary64_4533`
6×	`cancel-sign-sub-inv_binary64_4477` `associate-r_binary64_4451`
5×	`add-cube-cbrt_binary64_4546` `distribute-rgt-in_binary64_4461` `distribute-lft-in_binary64_4460`
3×	`pow1_binary64_4572` `add-exp-log_binary64_4549` `add-cbrt-cube_binary64_4547` `associate-l_binary64_4452`
2×	`sub-neg_binary64_4504` `associate--l+_binary64_4448` `associate-*r/_binary64_4453` `distribute-lft-out--_binary64_4463`
1×	`pow-prod-down_binary64_4582` `prod-exp_binary64_4560` `add-log-exp_binary64_4550` `cbrt-unprod_binary64_4544` `unswap-sqr_binary64_4479` `flip3--_binary64_4515` `flip--_binary64_4486` `difference-of-squares_binary64_4480` `distribute-lft-out_binary64_4462` `*-commutative_binary64_4442`

Counts

1 → 33

Calls

1 calls:

11.0ms

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

Compiler

Compiled 459 to 123 computations (73.2% saved)

series157.0ms (2.4%)

Error

Counts

1 → 21

Calls

1 calls:

146.0ms

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

Compiler

Compiled 434 to 280 computations (35.5% saved)

simplify44.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5525	578

prune33.0ms (0.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	54	0	54
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	54	5	59

Error

Counts

59 → 5

Compiler

Compiled 554 to 105 computations (81% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 d1 (+.f64 d2 (-.f64 d4 (+.f64 d1 d3))))
0.3b	(pow.f64 (*.f64 d1 (+.f64 d2 (-.f64 d4 (+.f64 d1 d3)))) 3)
33.7b	(cbrt.f64 (pow.f64 (*.f64 d1 (+.f64 d2 (-.f64 d4 (+.f64 d1 d3)))) 3))

rewrite88.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

16×	`*-un-lft-identity_binary64_4511`
9×	`add-sqr-sqrt_binary64_4533`
8×	`pow1_binary64_4572` `add-exp-log_binary64_4549` `add-cbrt-cube_binary64_4547` `cbrt-prod_binary64_4542`
7×	`add-cube-cbrt_binary64_4546`
6×	`associate-r/_binary64_4453` `associate-r*_binary64_4451`
4×	`cube-div_binary64_4540` `distribute-lft-out_binary64_4462`
3×	`add-log-exp_binary64_4550` `flip3-+_binary64_4514` `flip-+_binary64_4485` `pow-unpow_binary64_4588` `associate-l_binary64_4452`
2×	`cbrt-div_binary64_4543` `unpow-prod-down_binary64_4590` `unpow3_binary64_4577` `cube-mult_binary64_4541` `cube-prod_binary64_4539` `sqr-pow_binary64_4483` `pow-prod-down_binary64_4582` `pow-pow_binary64_4583` `prod-exp_binary64_4560` `pow-exp_binary64_4579` `rem-cube-cbrt_binary64_4534` `cbrt-unprod_binary64_4544` `distribute-lft-out--_binary64_4463`
1×	`pow1/3_binary64_4593` `rem-cbrt-cube_binary64_4535` `pow-to-exp_binary64_4580` `unswap-sqr_binary64_4479` `distribute-rgt-in_binary64_4461` `distribute-lft-in_binary64_4460` `*-commutative_binary64_4442`

Counts

3 → 68

Calls

3 calls:

11.0ms	(*.f64 d1 (+.f64 d2 (-.f64 d4 (+.f64 d1 d3))))
11.0ms	(pow.f64 (*.f64 d1 (+.f64 d2 (-.f64 d4 (+.f64 d1 d3)))) 3)
2.0ms	(cbrt.f64 (pow.f64 (*.f64 d1 (+.f64 d2 (-.f64 d4 (+.f64 d1 d3)))) 3))

Compiler

Compiled 1490 to 435 computations (70.8% saved)

series1.6s (23.7%)

Error

Counts

3 → 96

Calls

3 calls:

875.0ms	(pow.f64 (*.f64 d1 (+.f64 d2 (-.f64 d4 (+.f64 d1 d3)))) 3)
214.0ms	(cbrt.f64 (pow.f64 (*.f64 d1 (+.f64 d2 (-.f64 d4 (+.f64 d1 d3)))) 3))
208.0ms	(*.f64 d1 (+.f64 d2 (-.f64 d4 (+.f64 d1 d3))))

Compiler

Compiled 12206 to 9009 computations (26.2% saved)

simplify106.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

164 → 164

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4973	8723
1	4973	8723

prune279.0ms (4.2%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	164	0	164
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	164	5	169

Error

Counts

169 → 5

Compiler

Compiled 6419 to 3312 computations (48.4% saved)

regimes312.0ms (4.7%)

Accuracy

Total 0.0b remaining (90.1%)

Threshold costs 0.0b (90.1%)

Compiler

Compiled 2603 to 2144 computations (17.6% saved)

bsearch0.0ms (0%)

simplify13.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	230	16
1	230	16

Compiler

Compiled 22 to 18 computations (18.2% saved)

end0.0ms (0%)

sample1.6s (24.4%)

Algorithm

1×

intervals

Results

323.0ms	8000×	body	128	valid
92.0ms	2346×	body	128	invalid

Compiler

Compiled 549 to 451 computations (17.9% saved)

Details

analyze1.1s (16.8%)

sample35.0ms (0.5%)

simplify82.0ms (1.2%)

prune4.0ms (0.1%)

localize11.0ms (0.2%)

rewrite32.0ms (0.5%)

series208.0ms (3.1%)

simplify64.0ms (1%)

prune38.0ms (0.6%)

localize10.0ms (0.2%)

rewrite57.0ms (0.9%)

series599.0ms (9%)

simplify63.0ms (0.9%)

prune60.0ms (0.9%)

localize5.0ms (0.1%)

rewrite33.0ms (0.5%)

series157.0ms (2.4%)

simplify44.0ms (0.7%)

prune33.0ms (0.5%)

localize9.0ms (0.1%)

rewrite88.0ms (1.3%)

series1.6s (23.7%)

simplify106.0ms (1.6%)

prune279.0ms (4.2%)

regimes312.0ms (4.7%)

bsearch0.0ms (0%)

simplify13.0ms (0.2%)

end0.0ms (0%)

sample1.6s (24.4%)

Profiling