Details

analyze100.0ms (2.6%)

Algorithm

1×

Search

True	Other	False	Iter
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
25%	74.9%	0.1%	5
25%	62.4%	12.6%	6
25%	40.6%	34.4%	7
31.2%	25%	43.8%	8
39%	17.2%	43.8%	9
42.9%	13.3%	43.8%	10
47.2%	9%	43.8%	11
49.4%	6.8%	43.8%	12
51.6%	4.6%	43.8%	13
52.7%	3.5%	43.8%	14

Compiler

Compiled 12 to 9 computations (25% saved)

sample18.0ms (0.5%)

Algorithm

1×

intervals

Results

7.0ms

256×

body

128

valid

Compiler

Compiled 23 to 19 computations (17.4% saved)

simplify114.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	24	13
1	24	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 20 to 15 computations (25% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite34.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

9×	`add-log-exp_binary64_10006`
4×	`sum-log_binary64_10058`
2×	`pow1_binary64_10028` `add-exp-log_binary64_10005` `add-cbrt-cube_binary64_10003` `add-cube-cbrt_binary64_10002` `add-sqr-sqrt_binary64_9989` `flip3-+_binary64_9970` `*-un-lft-identity_binary64_9967` `flip-+_binary64_9941` `+-commutative_binary64_9897`
1×	`distribute-lft-out_binary64_9918` `associate-+l+_binary64_9900`

Counts

2 → 25

Calls

2 calls:

7.0ms	(+.f64 (+.f64 (.f64 x 2) (.f64 x x)) (*.f64 y y))
4.0ms	(+.f64 (.f64 x 2) (.f64 x x))

Compiler

Compiled 519 to 236 computations (54.5% saved)

series199.0ms (5.1%)

Error

0.0b

Counts

2 → 21

Calls

2 calls:

131.0ms	(+.f64 (+.f64 (.f64 x 2) (.f64 x x)) (*.f64 y y))
53.0ms	(+.f64 (.f64 x 2) (.f64 x x))

Compiler

Compiled 425 to 348 computations (18.1% saved)

simplify90.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4963	541
1	4963	541

prune66.0ms (1.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	44	2	46
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	44	3	47

Error

Counts

47 → 3

Compiler

Compiled 559 to 283 computations (49.4% saved)

localize23.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (/.f64 (-.f64 (.f64 x (.f64 x 4)) (pow.f64 x 4)) (.f64 x (-.f64 2 x))) (.f64 y y))
0.0b	(*.f64 x (-.f64 2 x))
0.3b	(-.f64 (.f64 x (.f64 x 4)) (pow.f64 x 4))
27.8b	(/.f64 (-.f64 (.f64 x (.f64 x 4)) (pow.f64 x 4)) (*.f64 x (-.f64 2 x)))

rewrite184.0ms (4.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

16×	`add-sqr-sqrt_binary64_9989`
14×	`*-un-lft-identity_binary64_9967`
13×	`cancel-sign-sub-inv_binary64_9933`
12×	`add-cube-cbrt_binary64_10002`
11×	`add-exp-log_binary64_10005` `add-cbrt-cube_binary64_10003`
8×	`add-log-exp_binary64_10006`
6×	`pow1_binary64_10028`
5×	`associate-r_binary64_9907`
4×	`flip3--_binary64_9971` `flip--_binary64_9942` `associate-*r/_binary64_9909` `distribute-rgt-in_binary64_9917` `distribute-lft-in_binary64_9916`
3×	`times-frac_binary64_9973` `associate-/l_binary64_9912` `sub-neg_binary64_9960` `unpow-prod-down_binary64_10046` `associate-l*_binary64_9908`
2×	`prod-exp_binary64_10016` `div-exp_binary64_10018` `cbrt-undiv_binary64_10001` `cbrt-unprod_binary64_10000` `div-sub_binary64_9972` `associate-/l/_binary64_9914` `associate-/r/_binary64_9913`
1×	`frac-2neg_binary64_9978` `clear-num_binary64_9966` `div-inv_binary64_9964` `associate-/r_binary64_9911` `diff-log_binary64_10059` `sqr-pow_binary64_9939` `pow-prod-down_binary64_10038` `unswap-sqr_binary64_9935` `difference-of-squares_binary64_9936` `distribute-lft-out--_binary64_9919` `-commutative_binary64_9898` `sum-log_binary64_10058` `flip3-+_binary64_9970` `flip-+_binary64_9941` `associate-+l-_binary64_9902` `+-commutative_binary64_9897`

Counts

4 → 86

Calls

4 calls:

17.0ms	(/.f64 (-.f64 (.f64 x (.f64 x 4)) (pow.f64 x 4)) (*.f64 x (-.f64 2 x)))
14.0ms	(+.f64 (/.f64 (-.f64 (.f64 x (.f64 x 4)) (pow.f64 x 4)) (.f64 x (-.f64 2 x))) (.f64 y y))
7.0ms	(*.f64 x (-.f64 2 x))
7.0ms	(-.f64 (.f64 x (.f64 x 4)) (pow.f64 x 4))

Compiler

Compiled 2555 to 1586 computations (37.9% saved)

series557.0ms (14.4%)

Error

Counts

4 → 33

Calls

4 calls:

279.0ms	(+.f64 (/.f64 (-.f64 (.f64 x (.f64 x 4)) (pow.f64 x 4)) (.f64 x (-.f64 2 x))) (.f64 y y))
123.0ms	(/.f64 (-.f64 (.f64 x (.f64 x 4)) (pow.f64 x 4)) (*.f64 x (-.f64 2 x)))
84.0ms	(-.f64 (.f64 x (.f64 x 4)) (pow.f64 x 4))
43.0ms	(*.f64 x (-.f64 2 x))

Compiler

Compiled 1073 to 815 computations (24% saved)

simplify112.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (87.0ms)

Iter	Nodes	Cost
0	4951	1768
1	4951	1768

prune145.0ms (3.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	119	0	119
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	119	3	122

Error

Counts

122 → 3

Compiler

Compiled 2480 to 1487 computations (40% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 x (+.f64 2 x)) (.f64 y y))
0.0b	(*.f64 x (+.f64 2 x))
0.2b	(pow.f64 (+.f64 (.f64 x (+.f64 2 x)) (.f64 y y)) 3)
39.6b	(cbrt.f64 (pow.f64 (+.f64 (.f64 x (+.f64 2 x)) (.f64 y y)) 3))

rewrite134.0ms (3.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

14×	`add-sqr-sqrt_binary64_9989` `*-un-lft-identity_binary64_9967`
12×	`add-cube-cbrt_binary64_10002` `cbrt-prod_binary64_9998`
7×	`pow1_binary64_10028` `add-exp-log_binary64_10005` `add-cbrt-cube_binary64_10003`
6×	`add-log-exp_binary64_10006` `unpow-prod-down_binary64_10046` `cube-prod_binary64_9995`
4×	`flip3-+_binary64_9970` `cube-div_binary64_9996` `flip-+_binary64_9941` `associate-r_binary64_9907`
3×	`pow-unpow_binary64_10044` `associate-l_binary64_9908`
2×	`cbrt-div_binary64_9999` `unpow3_binary64_10033` `cube-mult_binary64_9997` `sqr-pow_binary64_9939` `distribute-rgt-in_binary64_9917` `distribute-lft-in_binary64_9916` `associate-*r/_binary64_9909` `associate-+l+_binary64_9900`
1×	`pow1/3_binary64_10049` `rem-cbrt-cube_binary64_9991` `pow-pow_binary64_10039` `pow-to-exp_binary64_10036` `pow-exp_binary64_10035` `rem-cube-cbrt_binary64_9990` `pow-prod-down_binary64_10038` `prod-exp_binary64_10016` `cbrt-unprod_binary64_10000` `unswap-sqr_binary64_9935` `distribute-lft-out_binary64_9918` `*-commutative_binary64_9898` `sum-log_binary64_10058` `+-commutative_binary64_9897`

Counts

4 → 84

Calls

4 calls:

8.0ms	(pow.f64 (+.f64 (.f64 x (+.f64 2 x)) (.f64 y y)) 3)
7.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 x (+.f64 2 x)) (.f64 y y)) 3))
7.0ms	(+.f64 (.f64 x (+.f64 2 x)) (.f64 y y))
6.0ms	(*.f64 x (+.f64 2 x))

Compiler

Compiled 1904 to 1154 computations (39.4% saved)

series649.0ms (16.7%)

Error

Counts

4 → 60

Calls

4 calls:

234.0ms	(pow.f64 (+.f64 (.f64 x (+.f64 2 x)) (.f64 y y)) 3)
160.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 x (+.f64 2 x)) (.f64 y y)) 3))
145.0ms	(+.f64 (.f64 x (+.f64 2 x)) (.f64 y y))
43.0ms	(*.f64 x (+.f64 2 x))

Compiler

Compiled 2402 to 2019 computations (15.9% saved)

simplify56.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	4980	2676
1	4980	2676

prune163.0ms (4.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	144	0	144
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	144	3	147

Error

Counts

147 → 3

Compiler

Compiled 2456 to 1516 computations (38.3% saved)

regimes237.0ms (6.1%)

Accuracy

Total 0.0b remaining (71.7%)

Threshold costs 0.0b (71.7%)

Compiler

Compiled 1506 to 1152 computations (23.5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	16
1	12	16

end0.0ms (0%)

sample977.0ms (25.2%)

Algorithm

1×

intervals

Results

298.0ms	8000×	body	128	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 326 to 249 computations (23.6% saved)

Details

analyze100.0ms (2.6%)

sample18.0ms (0.5%)

simplify114.0ms (2.9%)

prune3.0ms (0.1%)

localize7.0ms (0.2%)

rewrite34.0ms (0.9%)

series199.0ms (5.1%)

simplify90.0ms (2.3%)

prune66.0ms (1.7%)

localize23.0ms (0.6%)

rewrite184.0ms (4.7%)

series557.0ms (14.4%)

simplify112.0ms (2.9%)

prune145.0ms (3.7%)

localize12.0ms (0.3%)

rewrite134.0ms (3.5%)

series649.0ms (16.7%)

simplify56.0ms (1.4%)

prune163.0ms (4.2%)

regimes237.0ms (6.1%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample977.0ms (25.2%)

Profiling