Details

analyze306.0ms (12.3%)

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)

sample21.0ms (0.8%)

Algorithm

1×

intervals

Results

10.0ms	241×	body	80	valid
1.0ms	8×	body	640	valid
1.0ms	20×	body	80	invalid
0.0ms	4×	body	320	valid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	160	valid

Compiler

Compiled 23 to 22 computations (4.3% saved)

simplify14.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	43	10
1	43	10

prune7.0ms (0.3%)

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: 0.0b

Counts

2 → 2

Compiler

Compiled 25 to 23 computations (8% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite9.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`*-un-lft-identity_binary64`
5×	`associate-r_binary64` `add-sqr-sqrt_binary64`
3×	`pow1_binary64` `distribute-lft-out_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
2×	`associate-*r/_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `flip-+_binary64` `*-commutative_binary64`

Counts

1 → 24

Calls

1 calls:

8.0ms

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

series8.0ms (0.3%)

Counts

1 → 3

Calls

1 calls:

8.0ms

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

simplify147.0ms (5.9%)

Algorithm

1×	egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (134.0ms)

Iter	Nodes	Cost
0	4935	321
1	4935	321

prune31.0ms (1.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	24	3	27
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	24	5	29

Merged error: 0b

Counts

29 → 5

Compiler

Compiled 385 to 255 computations (33.8% saved)

localize8.0ms (0.3%)

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))

rewrite13.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-log-exp_binary64`
4×	`sum-log_binary64`
3×	`distribute-lft-out_binary64`
2×	`flip3-+_binary64` `*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `+-commutative_binary64` `flip-+_binary64`
1×	`associate-+l+_binary64`

Counts

2 → 26

Calls

2 calls:

7.0ms	(+.f64 (+.f64 (.f64 d1 3) (.f64 d1 d2)) (*.f64 d1 d3))
5.0ms	(+.f64 (.f64 d1 3) (.f64 d1 d2))

series14.0ms (0.6%)

Counts

2 → 6

Calls

2 calls:

8.0ms	(+.f64 (+.f64 (.f64 d1 3) (.f64 d1 d2)) (*.f64 d1 d3))
6.0ms	(+.f64 (.f64 d1 3) (.f64 d1 d2))

simplify72.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5113	407

prune26.0ms (1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	32	0	32
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	32	5	37

Merged error: 0b

Counts

37 → 5

Compiler

Compiled 476 to 278 computations (41.6% saved)

localize10.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.4b	(*.f64 (cbrt.f64 (+.f64 d3 (+.f64 3 d2))) (cbrt.f64 (+.f64 d3 (+.f64 3 d2))))
0.4b	(cbrt.f64 (+.f64 d3 (+.f64 3 d2)))
0.4b	(cbrt.f64 (+.f64 d3 (+.f64 3 d2)))
0.4b	(cbrt.f64 (+.f64 d3 (+.f64 3 d2)))

rewrite40.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

74×	`*-un-lft-identity_binary64`
51×	`cbrt-prod_binary64`
33×	`distribute-lft-out_binary64`
23×	`add-sqr-sqrt_binary64`
18×	`cbrt-div_binary64`
15×	`add-cube-cbrt_binary64`
14×	`swap-sqr_binary64`
11×	`pow1_binary64`
9×	`flip3-+_binary64` `pow1/3_binary64` `flip-+_binary64`
8×	`associate-r_binary64` `associate-l_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64` `frac-times_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `associate-r/_binary64` `pow-sqr_binary64` `associate-l/_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 105

Calls

4 calls:

19.0ms	(*.f64 (cbrt.f64 (+.f64 d3 (+.f64 3 d2))) (cbrt.f64 (+.f64 d3 (+.f64 3 d2))))
5.0ms	(cbrt.f64 (+.f64 d3 (+.f64 3 d2)))
5.0ms	(cbrt.f64 (+.f64 d3 (+.f64 3 d2)))
5.0ms	(cbrt.f64 (+.f64 d3 (+.f64 3 d2)))

series72.0ms (2.9%)

Counts

4 → 12

Calls

4 calls:

22.0ms	(*.f64 (cbrt.f64 (+.f64 d3 (+.f64 3 d2))) (cbrt.f64 (+.f64 d3 (+.f64 3 d2))))
17.0ms	(cbrt.f64 (+.f64 d3 (+.f64 3 d2)))
17.0ms	(cbrt.f64 (+.f64 d3 (+.f64 3 d2)))
16.0ms	(cbrt.f64 (+.f64 d3 (+.f64 3 d2)))

simplify66.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5307	2331

prune136.0ms (5.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	117	5	122

Merged error: 0b

Counts

122 → 5

Compiler

Compiled 3359 to 2391 computations (28.8% saved)

localize11.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (+.f64 3 d2) (+.f64 3 d2))
3.0b	(-.f64 (.f64 d3 d3) (.f64 (+.f64 3 d2) (+.f64 3 d2)))
6.4b	(.f64 d1 (-.f64 (.f64 d3 d3) (*.f64 (+.f64 3 d2) (+.f64 3 d2))))
16.2b	(/.f64 (.f64 d1 (-.f64 (.f64 d3 d3) (*.f64 (+.f64 3 d2) (+.f64 3 d2)))) (-.f64 d3 (+.f64 3 d2)))

rewrite38.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`*-un-lft-identity_binary64`
20×	`add-sqr-sqrt_binary64`
13×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
12×	`add-cube-cbrt_binary64`
8×	`distribute-lft-out_binary64` `associate-r_binary64`
7×	`associate-l_binary64`
6×	`flip3-+_binary64` `associate-/r_binary64` `add-log-exp_binary64` `swap-sqr_binary64` `associate-r/_binary64` `times-frac_binary64` `flip-+_binary64`
4×	`flip3--_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `flip--_binary64` `frac-times_binary64`
3×	`sub-neg_binary64` `cbrt-unprod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `prod-exp_binary64`
2×	`pow-prod-down_binary64` `associate-/l/_binary64` `associate--r+_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64` `unswap-sqr_binary64` `div-exp_binary64` `associate-l/_binary64` `-commutative_binary64`
1×	`diff-log_binary64` `pow-prod-up_binary64` `pow-plus_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l*_binary64` `div-inv_binary64` `pow-sqr_binary64` `pow2_binary64`

Counts

4 → 108

Calls

4 calls:

13.0ms	(/.f64 (.f64 d1 (-.f64 (.f64 d3 d3) (*.f64 (+.f64 3 d2) (+.f64 3 d2)))) (-.f64 d3 (+.f64 3 d2)))
9.0ms	(*.f64 (+.f64 3 d2) (+.f64 3 d2))
7.0ms	(.f64 d1 (-.f64 (.f64 d3 d3) (*.f64 (+.f64 3 d2) (+.f64 3 d2))))
5.0ms	(-.f64 (.f64 d3 d3) (.f64 (+.f64 3 d2) (+.f64 3 d2)))

series67.0ms (2.7%)

Counts

4 → 12

Calls

4 calls:

31.0ms	(/.f64 (.f64 d1 (-.f64 (.f64 d3 d3) (*.f64 (+.f64 3 d2) (+.f64 3 d2)))) (-.f64 d3 (+.f64 3 d2)))
26.0ms	(.f64 d1 (-.f64 (.f64 d3 d3) (*.f64 (+.f64 3 d2) (+.f64 3 d2))))
8.0ms	(-.f64 (.f64 d3 d3) (.f64 (+.f64 3 d2) (+.f64 3 d2)))
2.0ms	(*.f64 (+.f64 3 d2) (+.f64 3 d2))

simplify117.0ms (4.7%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (89.0ms)

Iter	Nodes	Cost
0	4958	1923
1	4958	1923

prune90.0ms (3.6%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	120	5	125

Merged error: 0b

Counts

125 → 5

Compiler

Compiled 2641 to 1648 computations (37.6% saved)

regimes160.0ms (6.4%)

Compiler: Compiled 308 to 268 computations (13% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	10
1	11	10

end0.0ms (0%)

sample996.0ms (40%)

Algorithm

1×

intervals

Results

241.0ms	7468×	body	80	valid
25.0ms	727×	body	80	invalid
25.0ms	222×	body	640	valid
15.0ms	144×	body	320	valid
10.0ms	70×	body	1280	valid
6.0ms	96×	body	160	valid

Compiler

Compiled 96 to 85 computations (11.5% saved)

Details

analyze306.0ms (12.3%)

sample21.0ms (0.8%)

simplify14.0ms (0.6%)

prune7.0ms (0.3%)

localize5.0ms (0.2%)

rewrite9.0ms (0.4%)

series8.0ms (0.3%)

simplify147.0ms (5.9%)

prune31.0ms (1.2%)

localize8.0ms (0.3%)

rewrite13.0ms (0.5%)

series14.0ms (0.6%)

simplify72.0ms (2.9%)

prune26.0ms (1%)

localize10.0ms (0.4%)

rewrite40.0ms (1.6%)

series72.0ms (2.9%)

simplify66.0ms (2.7%)

prune136.0ms (5.4%)

localize11.0ms (0.4%)

rewrite38.0ms (1.5%)

series67.0ms (2.7%)

simplify117.0ms (4.7%)

prune90.0ms (3.6%)

regimes160.0ms (6.4%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample996.0ms (40%)

Profiling