Details

analyze281.0ms (6.1%)

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
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
37.4%	62.4%	0.1%	8
40.6%	57.7%	1.7%	9
45.2%	51.1%	3.7%	10
57.7%	33.5%	8.7%	11
59.7%	29.4%	10.9%	12
62%	25%	13%	13
68.3%	17.4%	14.4%	14

Compiler

Compiled 12 to 10 computations (16.7% saved)

sample17.0ms (0.4%)

Algorithm

1×

intervals

Results

7.0ms	237×	body	128	valid
1.0ms	22×	body	128	invalid
1.0ms	8×	body	512	valid
1.0ms	6×	body	1024	valid
0.0ms	5×	body	256	valid

Compiler

Compiled 23 to 22 computations (4.3% saved)

simplify99.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	43	10
1	43	10

prune3.0ms (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

0.1b

Counts

2 → 2

Compiler

Compiled 25 to 23 computations (8% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 d1 (+.f64 3 (+.f64 d2 d3)))

rewrite10.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`*-un-lft-identity_binary64_4170`
5×	`add-sqr-sqrt_binary64_4192` `associate-r_binary64_4110`
3×	`pow1_binary64_4231` `associate-l_binary64_4111` `add-exp-log_binary64_4208` `add-cbrt-cube_binary64_4206` `distribute-lft-out_binary64_4121` `add-cube-cbrt_binary64_4205`
2×	`associate-*r/_binary64_4112`
1×	`distribute-lft-in_binary64_4119` `distribute-rgt-in_binary64_4120` `prod-exp_binary64_4219` `cbrt-unprod_binary64_4203` `flip-+_binary64_4144` `flip3-+_binary64_4173` `*-commutative_binary64_4101` `pow-prod-down_binary64_4241` `add-log-exp_binary64_4209` `unswap-sqr_binary64_4138`

Counts

1 → 24

Calls

1 calls:

8.0ms

(*.f64 d1 (+.f64 3 (+.f64 d2 d3)))

series101.0ms (2.2%)

Counts

1 → 15

Calls

1 calls:

101.0ms

(*.f64 d1 (+.f64 3 (+.f64 d2 d3)))

Compiler

Compiled 196 to 178 computations (9.2% saved)

simplify62.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5415	405

prune36.0ms (0.8%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	34	5	39
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	36	5	41

Error

Counts

41 → 5

Compiler

Compiled 463 to 247 computations (46.7% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 d1 (+.f64 d2 d3))
0.0b	(+.f64 (.f64 d1 3) (.f64 d1 (+.f64 d2 d3)))

rewrite13.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64_4192` `*-un-lft-identity_binary64_4170`
4×	`pow1_binary64_4231` `add-exp-log_binary64_4208` `associate-r_binary64_4110` `add-cbrt-cube_binary64_4206` `add-log-exp_binary64_4209` `add-cube-cbrt_binary64_4205`
3×	`associate-l_binary64_4111`
2×	`distribute-lft-in_binary64_4119` `distribute-rgt-in_binary64_4120` `associate-*r/_binary64_4112` `flip-+_binary64_4144` `flip3-+_binary64_4173` `associate-+r+_binary64_4102` `distribute-lft-out_binary64_4121`
1×	`prod-exp_binary64_4219` `cbrt-unprod_binary64_4203` `+-commutative_binary64_4100` `*-commutative_binary64_4101` `sum-log_binary64_4261` `pow-prod-down_binary64_4241` `unswap-sqr_binary64_4138`

Counts

2 → 37

Calls

2 calls:

6.0ms	(*.f64 d1 (+.f64 d2 d3))
4.0ms	(+.f64 (.f64 d1 3) (.f64 d1 (+.f64 d2 d3)))

series232.0ms (5.1%)

Counts

2 → 30

Calls

2 calls:

146.0ms	(+.f64 (.f64 d1 3) (.f64 d1 (+.f64 d2 d3)))
86.0ms	(*.f64 d1 (+.f64 d2 d3))

Compiler

Compiled 428 to 378 computations (11.7% saved)

simplify62.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5459	624

prune41.0ms (0.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	67	0	67
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	67	5	72

Error

Counts

72 → 5

Compiler

Compiled 780 to 354 computations (54.6% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (+.f64 d2 d3) (+.f64 d2 d3))
9.5b	(.f64 d1 (-.f64 9 (.f64 (+.f64 d2 d3) (+.f64 d2 d3))))
13.6b	(/.f64 (.f64 d1 (-.f64 9 (.f64 (+.f64 d2 d3) (+.f64 d2 d3)))) (-.f64 3 (+.f64 d2 d3)))

rewrite37.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

35×	`*-un-lft-identity_binary64_4170`
20×	`add-sqr-sqrt_binary64_4192`
12×	`pow1_binary64_4231` `add-exp-log_binary64_4208` `add-cbrt-cube_binary64_4206`
11×	`add-cube-cbrt_binary64_4205`
8×	`associate-r_binary64_4110` `distribute-lft-out_binary64_4121`
7×	`associate-l_binary64_4111`
6×	`swap-sqr_binary64_4137` `associate-r/_binary64_4112` `flip-+_binary64_4144` `flip3-+_binary64_4173` `times-frac_binary64_4176` `associate-/r_binary64_4114`
4×	`frac-times_binary64_4180` `distribute-lft-out--_binary64_4122`
3×	`distribute-lft-in_binary64_4119` `distribute-rgt-in_binary64_4120` `flip3--_binary64_4174` `prod-exp_binary64_4219` `cbrt-unprod_binary64_4203` `difference-of-squares_binary64_4139` `add-log-exp_binary64_4209` `flip--_binary64_4145`
2×	`associate-l/_binary64_4113` `associate-/r/_binary64_4116` `-commutative_binary64_4101` `cancel-sign-sub-inv_binary64_4136` `cbrt-undiv_binary64_4204` `pow-prod-down_binary64_4241` `associate-/l/_binary64_4117` `sub-neg_binary64_4163` `unswap-sqr_binary64_4138` `div-exp_binary64_4221`
1×	`pow-plus_binary64_4233` `frac-2neg_binary64_4181` `associate-/l*_binary64_4115` `pow2_binary64_4251` `div-inv_binary64_4167` `pow-prod-up_binary64_4240` `clear-num_binary64_4169` `pow-sqr_binary64_4143`

Counts

3 → 96

Calls

3 calls:

14.0ms	(/.f64 (.f64 d1 (-.f64 9 (.f64 (+.f64 d2 d3) (+.f64 d2 d3)))) (-.f64 3 (+.f64 d2 d3)))
9.0ms	(*.f64 (+.f64 d2 d3) (+.f64 d2 d3))
6.0ms	(.f64 d1 (-.f64 9 (.f64 (+.f64 d2 d3) (+.f64 d2 d3))))

series763.0ms (16.7%)

Counts

3 → 54

Calls

3 calls:

355.0ms	(/.f64 (.f64 d1 (-.f64 9 (.f64 (+.f64 d2 d3) (+.f64 d2 d3)))) (-.f64 3 (+.f64 d2 d3)))
312.0ms	(.f64 d1 (-.f64 9 (.f64 (+.f64 d2 d3) (+.f64 d2 d3))))
96.0ms	(*.f64 (+.f64 d2 d3) (+.f64 d2 d3))

Compiler

Compiled 1750 to 1422 computations (18.7% saved)

simplify77.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5035	2551

prune138.0ms (3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	149	1	150
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	150	5	155

Error

Counts

155 → 5

Compiler

Compiled 3098 to 1541 computations (50.3% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(pow.f64 (+.f64 d2 d3) 2)
0.3b	(/.f64 d1 (/.f64 (-.f64 3 (+.f64 d2 d3)) (-.f64 9 (pow.f64 (+.f64 d2 d3) 2))))
21.4b	(/.f64 (-.f64 3 (+.f64 d2 d3)) (-.f64 9 (pow.f64 (+.f64 d2 d3) 2)))

rewrite92.0ms (2%)

Algorithm

1×	rewrite-expression-head

Rules

405×	`*-un-lft-identity_binary64_4170`
404×	`add-sqr-sqrt_binary64_4192`
402×	`times-frac_binary64_4176`
165×	`difference-of-squares_binary64_4139`
136×	`add-cube-cbrt_binary64_4205`
113×	`distribute-lft-out--_binary64_4122`
62×	`associate-/r*_binary64_4114`
42×	`distribute-lft-out_binary64_4121`
35×	`unpow-prod-down_binary64_4249`
32×	`unpow2_binary64_4235` `sqr-pow_binary64_4142`
11×	`add-exp-log_binary64_4208` `associate-/r/_binary64_4116`
10×	`add-cbrt-cube_binary64_4206`
9×	`associate-/l*_binary64_4115`
6×	`flip3--_binary64_4174` `div-inv_binary64_4167` `flip--_binary64_4145`
4×	`pow1_binary64_4231` `cbrt-undiv_binary64_4204` `div-exp_binary64_4221`
3×	`pow-unpow_binary64_4247` `add-log-exp_binary64_4209`
2×	`frac-2neg_binary64_4181` `associate-/l/_binary64_4117` `clear-num_binary64_4169`
1×	`pow-to-exp_binary64_4239` `pow-exp_binary64_4238` `div-sub_binary64_4175` `pow-pow_binary64_4242`

Counts

3 → 332

Calls

3 calls:

25.0ms	(/.f64 d1 (/.f64 (-.f64 3 (+.f64 d2 d3)) (-.f64 9 (pow.f64 (+.f64 d2 d3) 2))))
15.0ms	(/.f64 (-.f64 3 (+.f64 d2 d3)) (-.f64 9 (pow.f64 (+.f64 d2 d3) 2)))
5.0ms	(pow.f64 (+.f64 d2 d3) 2)

series816.0ms (17.9%)

Counts

3 → 57

Calls

3 calls:

370.0ms	(/.f64 (-.f64 3 (+.f64 d2 d3)) (-.f64 9 (pow.f64 (+.f64 d2 d3) 2)))
361.0ms	(/.f64 d1 (/.f64 (-.f64 3 (+.f64 d2 d3)) (-.f64 9 (pow.f64 (+.f64 d2 d3) 2))))
85.0ms	(pow.f64 (+.f64 d2 d3) 2)

Compiler

Compiled 2428 to 2026 computations (16.6% saved)

simplify159.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

389 → 389

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5682	13091

prune537.0ms (11.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	389	0	389
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	389	5	394

Error

Counts

394 → 5

Compiler

Compiled 10589 to 5688 computations (46.3% saved)

regimes152.0ms (3.3%)

Accuracy

Total 0.1b remaining (99.4%)

Threshold costs 0.1b (99.4%)

Compiler

Compiled 1304 to 1056 computations (19% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	10
1	11	10

end0.0ms (0%)

sample814.0ms (17.8%)

Algorithm

1×

intervals

Results

220.0ms	7530×	body	128	valid
21.0ms	669×	body	128	invalid
16.0ms	181×	body	512	valid
16.0ms	155×	body	1024	valid
7.0ms	134×	body	256	valid

Compiler

Compiled 345 to 282 computations (18.3% saved)

Details

analyze281.0ms (6.1%)

sample17.0ms (0.4%)

simplify99.0ms (2.2%)

prune3.0ms (0.1%)

localize5.0ms (0.1%)

rewrite10.0ms (0.2%)

series101.0ms (2.2%)

simplify62.0ms (1.4%)

prune36.0ms (0.8%)

localize6.0ms (0.1%)

rewrite13.0ms (0.3%)

series232.0ms (5.1%)

simplify62.0ms (1.3%)

prune41.0ms (0.9%)

localize9.0ms (0.2%)

rewrite37.0ms (0.8%)

series763.0ms (16.7%)

simplify77.0ms (1.7%)

prune138.0ms (3%)

localize9.0ms (0.2%)

rewrite92.0ms (2%)

series816.0ms (17.9%)

simplify159.0ms (3.5%)

prune537.0ms (11.8%)

regimes152.0ms (3.3%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample814.0ms (17.8%)

Profiling