Details

analyze293.0ms (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)

sample17.0ms (0.5%)

Algorithm

1×

intervals

Results

7.0ms	236×	body	128	valid
1.0ms	14×	body	512	valid
1.0ms	16×	body	128	invalid
0.0ms	3×	body	1024	valid
0.0ms	3×	body	256	valid

Compiler

Compiled 23 to 22 computations (4.3% saved)

simplify171.0ms (4.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	43	10
1	43	10

prune8.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.1b

Counts

2 → 1

Compiler

Compiled 32 to 30 computations (6.3% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite11.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`*-un-lft-identity_binary64_4207`
5×	`add-sqr-sqrt_binary64_4229` `associate-r_binary64_4147`
3×	`associate-l_binary64_4148` `distribute-lft-out_binary64_4158` `add-cbrt-cube_binary64_4243` `pow1_binary64_4268` `add-exp-log_binary64_4245` `add-cube-cbrt_binary64_4242`
2×	`associate-*r/_binary64_4149`
1×	`cbrt-unprod_binary64_4240` `pow-prod-down_binary64_4278` `add-log-exp_binary64_4246` `prod-exp_binary64_4256` `*-commutative_binary64_4138` `distribute-rgt-in_binary64_4157` `distribute-lft-in_binary64_4156` `flip-+_binary64_4181` `flip3-+_binary64_4210` `unswap-sqr_binary64_4175`

Counts

1 → 24

Calls

1 calls:

9.0ms

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

series55.0ms (1.5%)

Counts

1 → 3

Calls

1 calls:

55.0ms

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

simplify79.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4932	315
1	4932	315

prune68.0ms (1.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	23	4	27
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	23	5	28

Merged error: 0b

Counts

28 → 5

Compiler

Compiled 1009 to 690 computations (31.6% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (+.f64 3 (+.f64 d2 d3)))
0.0b	(sqrt.f64 (+.f64 3 (+.f64 d2 d3)))
0.2b	(*.f64 d1 (sqrt.f64 (+.f64 3 (+.f64 d2 d3))))
0.3b	(.f64 (.f64 d1 (sqrt.f64 (+.f64 3 (+.f64 d2 d3)))) (sqrt.f64 (+.f64 3 (+.f64 d2 d3))))

rewrite51.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`*-un-lft-identity_binary64_4207`
21×	`sqrt-prod_binary64_4223`
18×	`sqrt-div_binary64_4224`
17×	`add-sqr-sqrt_binary64_4229`
16×	`associate-r_binary64_4147`
13×	`pow1_binary64_4268`
12×	`distribute-lft-out_binary64_4158`
11×	`add-cbrt-cube_binary64_4243` `add-exp-log_binary64_4245` `add-cube-cbrt_binary64_4242`
10×	`associate-*r/_binary64_4149`
9×	`flip-+_binary64_4181` `flip3-+_binary64_4210`
4×	`associate-l_binary64_4148` `cbrt-unprod_binary64_4240` `pow-prod-down_binary64_4278` `add-log-exp_binary64_4246` `prod-exp_binary64_4256` `frac-times_binary64_4217`
2×	`pow1/2_binary64_4287` `associate-l/_binary64_4150` `rem-sqrt-square_binary64_4220` `-commutative_binary64_4138` `unswap-sqr_binary64_4175` `sqrt-pow1_binary64_4225`

Counts

4 → 91

Calls

4 calls:

20.0ms	(.f64 (.f64 d1 (sqrt.f64 (+.f64 3 (+.f64 d2 d3)))) (sqrt.f64 (+.f64 3 (+.f64 d2 d3))))
11.0ms	(*.f64 d1 (sqrt.f64 (+.f64 3 (+.f64 d2 d3))))
6.0ms	(sqrt.f64 (+.f64 3 (+.f64 d2 d3)))
6.0ms	(sqrt.f64 (+.f64 3 (+.f64 d2 d3)))

series265.0ms (7.2%)

Counts

4 → 12

Calls

4 calls:

119.0ms	(*.f64 d1 (sqrt.f64 (+.f64 3 (+.f64 d2 d3))))
59.0ms	(.f64 (.f64 d1 (sqrt.f64 (+.f64 3 (+.f64 d2 d3)))) (sqrt.f64 (+.f64 3 (+.f64 d2 d3))))
43.0ms	(sqrt.f64 (+.f64 3 (+.f64 d2 d3)))
43.0ms	(sqrt.f64 (+.f64 3 (+.f64 d2 d3)))

simplify82.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5015	1691

prune102.0ms (2.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	103	5	108

Merged error: 0b

Counts

108 → 5

Compiler

Compiled 2130 to 1209 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))
8.0b	(.f64 d1 (-.f64 9 (.f64 (+.f64 d2 d3) (+.f64 d2 d3))))
14.8b	(/.f64 (.f64 d1 (-.f64 9 (.f64 (+.f64 d2 d3) (+.f64 d2 d3)))) (-.f64 3 (+.f64 d2 d3)))

rewrite39.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

35×	`*-un-lft-identity_binary64_4207`
20×	`add-sqr-sqrt_binary64_4229`
12×	`add-cbrt-cube_binary64_4243` `pow1_binary64_4268` `add-exp-log_binary64_4245`
11×	`add-cube-cbrt_binary64_4242`
8×	`distribute-lft-out_binary64_4158` `associate-r_binary64_4147`
7×	`associate-l_binary64_4148`
6×	`swap-sqr_binary64_4174` `times-frac_binary64_4213` `associate-r/_binary64_4149` `flip-+_binary64_4181` `flip3-+_binary64_4210` `associate-/r_binary64_4151`
4×	`distribute-lft-out--_binary64_4159` `frac-times_binary64_4217`
3×	`difference-of-squares_binary64_4176` `flip3--_binary64_4211` `cbrt-unprod_binary64_4240` `flip--_binary64_4182` `add-log-exp_binary64_4246` `prod-exp_binary64_4256` `distribute-rgt-in_binary64_4157` `distribute-lft-in_binary64_4156`
2×	`associate-/r/_binary64_4153` `cancel-sign-sub-inv_binary64_4173` `cbrt-undiv_binary64_4241` `associate-l/_binary64_4150` `pow-prod-down_binary64_4278` `associate-/l/_binary64_4154` `div-exp_binary64_4258` `-commutative_binary64_4138` `sub-neg_binary64_4200` `unswap-sqr_binary64_4175`
1×	`pow-plus_binary64_4270` `pow-sqr_binary64_4180` `div-inv_binary64_4204` `pow-prod-up_binary64_4277` `clear-num_binary64_4206` `associate-/l*_binary64_4152` `frac-2neg_binary64_4218` `pow2_binary64_4288`

Counts

3 → 96

Calls

3 calls:

13.0ms	(/.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))
7.0ms	(.f64 d1 (-.f64 9 (.f64 (+.f64 d2 d3) (+.f64 d2 d3))))

series372.0ms (10.2%)

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)))
116.0ms	(.f64 d1 (-.f64 9 (.f64 (+.f64 d2 d3) (+.f64 d2 d3))))
23.0ms	(*.f64 (+.f64 d2 d3) (+.f64 d2 d3))

simplify62.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4988	1725
1	4988	1725

prune113.0ms (3.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	105	0	105
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	105	5	110

Merged error: 0b

Counts

110 → 5

Compiler

Compiled 2429 to 1278 computations (47.4% saved)

localize14.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (.f64 (+.f64 d2 d3) (+.f64 d2 d3)) (.f64 3 (+.f64 d2 d3)))
0.0b	(*.f64 3 (+.f64 d2 d3))
4.1b	(*.f64 d1 (+.f64 27 (pow.f64 (+.f64 d2 d3) 3)))
26.0b	(/.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)))))

rewrite72.0ms (2%)

Algorithm

1×	rewrite-expression-head

Rules

32×	`associate-*r/_binary64_4149`
28×	`flip-+_binary64_4181` `flip3-+_binary64_4210`
16×	`frac-sub_binary64_4216`
14×	`add-sqr-sqrt_binary64_4229` `*-un-lft-identity_binary64_4207`
13×	`add-cbrt-cube_binary64_4243` `add-exp-log_binary64_4245`
10×	`add-cube-cbrt_binary64_4242`
8×	`pow1_binary64_4268` `associate-r_binary64_4147` `frac-times_binary64_4217`
6×	`associate-l_binary64_4148` `associate-*l/_binary64_4150` `add-log-exp_binary64_4246`
4×	`sub-div_binary64_4214` `distribute-rgt-in_binary64_4157` `distribute-lft-in_binary64_4156`
3×	`times-frac_binary64_4213` `cbrt-unprod_binary64_4240` `prod-exp_binary64_4256` `associate-/r*_binary64_4151`
2×	`associate-/r/_binary64_4153` `cbrt-undiv_binary64_4241` `distribute-lft-out_binary64_4158` `pow-prod-down_binary64_4278` `associate-/l/_binary64_4154` `div-exp_binary64_4258` `associate--l+_binary64_4144` `*-commutative_binary64_4138` `associate--r+_binary64_4143` `unswap-sqr_binary64_4175`
1×	`cancel-sign-sub-inv_binary64_4173` `flip3--_binary64_4211` `flip--_binary64_4182` `div-inv_binary64_4204` `sub-neg_binary64_4200` `clear-num_binary64_4206` `associate-/l*_binary64_4152` `diff-log_binary64_4299` `distribute-rgt-out--_binary64_4161` `frac-2neg_binary64_4218`

Counts

4 → 108

Calls

4 calls:

26.0ms	(/.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)))
12.0ms	(*.f64 d1 (+.f64 27 (pow.f64 (+.f64 d2 d3) 3)))
7.0ms	(*.f64 3 (+.f64 d2 d3))

series845.0ms (23.1%)

Counts

4 → 12

Calls

4 calls:

503.0ms	(/.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)))))
251.0ms	(*.f64 d1 (+.f64 27 (pow.f64 (+.f64 d2 d3) 3)))
57.0ms	(-.f64 (.f64 (+.f64 d2 d3) (+.f64 d2 d3)) (.f64 3 (+.f64 d2 d3)))
34.0ms	(*.f64 3 (+.f64 d2 d3))

simplify65.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4939	3102
1	4939	3102

prune169.0ms (4.6%)

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 4264 to 2077 computations (51.3% saved)

regimes51.0ms (1.4%)

Compiler: Compiled 234 to 192 computations (17.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	10
1	11	10

end0.0ms (0%)

sample635.0ms (17.3%)

Algorithm

1×

intervals

Results

242.0ms	7492×	body	128	valid
23.0ms	677×	body	128	invalid
18.0ms	165×	body	1024	valid
18.0ms	216×	body	512	valid
7.0ms	127×	body	256	valid

Compiler

Compiled 102 to 85 computations (16.7% saved)

Details

analyze293.0ms (8%)

sample17.0ms (0.5%)

simplify171.0ms (4.7%)

prune8.0ms (0.2%)

localize5.0ms (0.1%)

rewrite11.0ms (0.3%)

series55.0ms (1.5%)

simplify79.0ms (2.2%)

prune68.0ms (1.9%)

localize8.0ms (0.2%)

rewrite51.0ms (1.4%)

series265.0ms (7.2%)

simplify82.0ms (2.2%)

prune102.0ms (2.8%)

localize9.0ms (0.2%)

rewrite39.0ms (1.1%)

series372.0ms (10.2%)

simplify62.0ms (1.7%)

prune113.0ms (3.1%)

localize14.0ms (0.4%)

rewrite72.0ms (2%)

series845.0ms (23.1%)

simplify65.0ms (1.8%)

prune169.0ms (4.6%)

regimes51.0ms (1.4%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample635.0ms (17.3%)

Profiling