Details

analyze285.0ms (8%)

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)

sample20.0ms (0.6%)

Algorithm

1×

intervals

Results

10.0ms	235×	body	128	valid
1.0ms	10×	body	512	valid
1.0ms	7×	body	1024	valid
0.0ms	12×	body	128	invalid
0.0ms	4×	body	256	valid

Compiler

Compiled 23 to 22 computations (4.3% saved)

simplify165.0ms (4.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	43	10
1	43	10

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

Merged 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)))

rewrite12.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`*-un-lft-identity_binary64_4121`
5×	`associate-r_binary64_4063` `add-sqr-sqrt_binary64_4142`
3×	`associate-l_binary64_4064` `add-exp-log_binary64_4156` `add-cbrt-cube_binary64_4154` `add-cube-cbrt_binary64_4153` `pow1_binary64_4179` `distribute-lft-out_binary64_4074`
2×	`associate-*r/_binary64_4065`
1×	`cbrt-unprod_binary64_4151` `prod-exp_binary64_4167` `add-log-exp_binary64_4157` `distribute-lft-in_binary64_4072` `flip-+_binary64_4095` `*-commutative_binary64_4054` `unswap-sqr_binary64_4089` `pow-prod-down_binary64_4189` `flip3-+_binary64_4124` `distribute-rgt-in_binary64_4073`

Counts

1 → 24

Calls

1 calls:

10.0ms

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

series61.0ms (1.7%)

Counts

1 → 3

Calls

1 calls:

61.0ms

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

simplify103.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (95.0ms)

Iter	Nodes	Cost
0	4907	315
1	4907	315

prune24.0ms (0.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	25	2	27
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	25	4	29

Merged error: 0b

Counts

29 → 4

Compiler

Compiled 373 to 200 computations (46.4% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite15.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-log-exp_binary64_4157`
4×	`sum-log_binary64_4209`
3×	`distribute-lft-out_binary64_4074`
2×	`+-commutative_binary64_4053` `add-sqr-sqrt_binary64_4142` `flip-+_binary64_4095` `add-exp-log_binary64_4156` `add-cbrt-cube_binary64_4154` `add-cube-cbrt_binary64_4153` `*-un-lft-identity_binary64_4121` `pow1_binary64_4179` `flip3-+_binary64_4124`
1×	`associate-+l+_binary64_4056`

Counts

2 → 26

Calls

2 calls:

7.0ms	(+.f64 (+.f64 (.f64 d1 3) (.f64 d1 d2)) (*.f64 d1 d3))
6.0ms	(+.f64 (.f64 d1 3) (.f64 d1 d2))

series110.0ms (3.1%)

Counts

2 → 6

Calls

2 calls:

58.0ms	(+.f64 (+.f64 (.f64 d1 3) (.f64 d1 d2)) (*.f64 d1 d3))
52.0ms	(+.f64 (.f64 d1 3) (.f64 d1 d2))

simplify50.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5055	407

prune27.0ms (0.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	32	0	32
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	32	4	36

Merged error: 0b

Counts

36 → 4

Compiler

Compiled 468 to 266 computations (43.2% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (+.f64 d2 d3) (+.f64 d2 d3))
8.8b	(.f64 d1 (-.f64 9 (.f64 (+.f64 d2 d3) (+.f64 d2 d3))))
15.3b	(/.f64 (.f64 d1 (-.f64 9 (.f64 (+.f64 d2 d3) (+.f64 d2 d3)))) (-.f64 3 (+.f64 d2 d3)))

rewrite37.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

35×	`*-un-lft-identity_binary64_4121`
20×	`add-sqr-sqrt_binary64_4142`
12×	`add-exp-log_binary64_4156` `add-cbrt-cube_binary64_4154` `pow1_binary64_4179`
11×	`add-cube-cbrt_binary64_4153`
8×	`associate-r_binary64_4063` `distribute-lft-out_binary64_4074`
7×	`associate-l_binary64_4064`
6×	`flip-+_binary64_4095` `associate-/r_binary64_4067` `times-frac_binary64_4127` `flip3-+_binary64_4124` `associate-r/_binary64_4065` `swap-sqr_binary64_4088`
4×	`frac-times_binary64_4131` `distribute-lft-out--_binary64_4075`
3×	`cbrt-unprod_binary64_4151` `flip--_binary64_4096` `prod-exp_binary64_4167` `add-log-exp_binary64_4157` `difference-of-squares_binary64_4090` `flip3--_binary64_4125`
2×	`div-exp_binary64_4169` `associate-/r/_binary64_4069` `cbrt-undiv_binary64_4152` `associate-/l/_binary64_4070` `sub-neg_binary64_4114` `distribute-lft-in_binary64_4072` `-commutative_binary64_4054` `unswap-sqr_binary64_4089` `pow-prod-down_binary64_4189` `associate-l/_binary64_4066` `distribute-rgt-in_binary64_4073`
1×	`div-inv_binary64_4118` `pow-plus_binary64_4181` `pow-prod-up_binary64_4188` `frac-2neg_binary64_4132` `pow-sqr_binary64_4094` `associate-/l*_binary64_4068` `pow2_binary64_4199` `clear-num_binary64_4120`

Counts

3 → 94

Calls

3 calls:

12.0ms	(/.f64 (.f64 d1 (-.f64 9 (.f64 (+.f64 d2 d3) (+.f64 d2 d3)))) (-.f64 3 (+.f64 d2 d3)))
10.0ms	(*.f64 (+.f64 d2 d3) (+.f64 d2 d3))
6.0ms	(.f64 d1 (-.f64 9 (.f64 (+.f64 d2 d3) (+.f64 d2 d3))))

series383.0ms (10.8%)

Counts

3 → 9

Calls

3 calls:

233.0ms	(/.f64 (.f64 d1 (-.f64 9 (.f64 (+.f64 d2 d3) (+.f64 d2 d3)))) (-.f64 3 (+.f64 d2 d3)))
126.0ms	(.f64 d1 (-.f64 9 (.f64 (+.f64 d2 d3) (+.f64 d2 d3))))
25.0ms	(*.f64 (+.f64 d2 d3) (+.f64 d2 d3))

simplify60.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5014	1693

prune101.0ms (2.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	103	4	107

Merged error: 0b

Counts

107 → 4

Compiler

Compiled 2207 to 1111 computations (49.7% saved)

localize14.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 3 (+.f64 d2 d3))
0.2b	(-.f64 (.f64 (+.f64 d2 d3) (+.f64 d2 d3)) (.f64 3 (+.f64 d2 d3)))
3.6b	(*.f64 d1 (+.f64 27 (pow.f64 (+.f64 d2 d3) 3)))
27.6b	(/.f64 (.f64 d1 (+.f64 27 (pow.f64 (+.f64 d2 d3) 3))) (+.f64 (.f64 3 3) (-.f64 (.f64 (+.f64 d2 d3) (+.f64 d2 d3)) (.f64 3 (+.f64 d2 d3)))))

rewrite70.0ms (2%)

Algorithm

1×	rewrite-expression-head

Rules

32×	`associate-*r/_binary64_4065`
28×	`flip-+_binary64_4095` `flip3-+_binary64_4124`
16×	`frac-sub_binary64_4130`
14×	`add-sqr-sqrt_binary64_4142` `*-un-lft-identity_binary64_4121`
13×	`add-exp-log_binary64_4156` `add-cbrt-cube_binary64_4154`
10×	`add-cube-cbrt_binary64_4153`
8×	`associate-r_binary64_4063` `frac-times_binary64_4131` `pow1_binary64_4179`
6×	`associate-l_binary64_4064` `add-log-exp_binary64_4157` `associate-*l/_binary64_4066`
4×	`distribute-lft-in_binary64_4072` `distribute-rgt-in_binary64_4073` `sub-div_binary64_4128`
3×	`cbrt-unprod_binary64_4151` `prod-exp_binary64_4167` `associate-/r*_binary64_4067` `times-frac_binary64_4127`
2×	`div-exp_binary64_4169` `associate-/r/_binary64_4069` `cbrt-undiv_binary64_4152` `associate-/l/_binary64_4070` `*-commutative_binary64_4054` `unswap-sqr_binary64_4089` `associate--r+_binary64_4059` `pow-prod-down_binary64_4189` `distribute-lft-out_binary64_4074` `associate--l+_binary64_4060`
1×	`div-inv_binary64_4118` `distribute-rgt-out--_binary64_4077` `flip--_binary64_4096` `diff-log_binary64_4210` `sub-neg_binary64_4114` `frac-2neg_binary64_4132` `flip3--_binary64_4125` `associate-/l*_binary64_4068` `clear-num_binary64_4120`

Counts

4 → 107

Calls

4 calls:

21.0ms	(/.f64 (.f64 d1 (+.f64 27 (pow.f64 (+.f64 d2 d3) 3))) (+.f64 (.f64 3 3) (-.f64 (.f64 (+.f64 d2 d3) (+.f64 d2 d3)) (.f64 3 (+.f64 d2 d3)))))
12.0ms	(-.f64 (.f64 (+.f64 d2 d3) (+.f64 d2 d3)) (.f64 3 (+.f64 d2 d3)))
11.0ms	(*.f64 d1 (+.f64 27 (pow.f64 (+.f64 d2 d3) 3)))
7.0ms	(*.f64 3 (+.f64 d2 d3))

series838.0ms (23.6%)

Counts

4 → 12

Calls

4 calls:

513.0ms	(/.f64 (.f64 d1 (+.f64 27 (pow.f64 (+.f64 d2 d3) 3))) (+.f64 (.f64 3 3) (-.f64 (.f64 (+.f64 d2 d3) (+.f64 d2 d3)) (.f64 3 (+.f64 d2 d3)))))
242.0ms	(*.f64 d1 (+.f64 27 (pow.f64 (+.f64 d2 d3) 3)))
50.0ms	(-.f64 (.f64 (+.f64 d2 d3) (+.f64 d2 d3)) (.f64 3 (+.f64 d2 d3)))
34.0ms	(*.f64 3 (+.f64 d2 d3))

simplify80.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4929	3035
1	4929	3035

prune162.0ms (4.6%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	119	0	119
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	119	4	123

Merged error: 0b

Counts

123 → 4

Compiler

Compiled 4197 to 2042 computations (51.3% saved)

regimes129.0ms (3.6%)

Compiler: Compiled 1180 to 920 computations (22% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	13
1	13	13

end0.0ms (0%)

sample782.0ms (22%)

Algorithm

1×

intervals

Results

235.0ms	7492×	body	128	valid
24.0ms	696×	body	128	invalid
19.0ms	173×	body	1024	valid
16.0ms	199×	body	512	valid
8.0ms	136×	body	256	valid

Compiler

Compiled 316 to 249 computations (21.2% saved)

Details

analyze285.0ms (8%)

sample20.0ms (0.6%)

simplify165.0ms (4.6%)

prune4.0ms (0.1%)

localize5.0ms (0.1%)

rewrite12.0ms (0.3%)

series61.0ms (1.7%)

simplify103.0ms (2.9%)

prune24.0ms (0.7%)

localize7.0ms (0.2%)

rewrite15.0ms (0.4%)

series110.0ms (3.1%)

simplify50.0ms (1.4%)

prune27.0ms (0.8%)

localize9.0ms (0.2%)

rewrite37.0ms (1%)

series383.0ms (10.8%)

simplify60.0ms (1.7%)

prune101.0ms (2.9%)

localize14.0ms (0.4%)

rewrite70.0ms (2%)

series838.0ms (23.6%)

simplify80.0ms (2.2%)

prune162.0ms (4.6%)

regimes129.0ms (3.6%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample782.0ms (22%)

Profiling