Details

analyze909.0ms (17.7%)

Algorithm

2×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	355	40
1	355	40
0	3	3
1	3	3

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
12.5%	87.4%	0.1%	7
37.4%	62.4%	0.1%	8
37.4%	62.4%	0.1%	8
40.6%	57.7%	1.7%	9
40.6%	57.7%	1.7%	9
45.2%	51.1%	3.7%	10
45.2%	51.1%	3.7%	10
57.7%	33.5%	8.7%	11
57.7%	33.5%	8.7%	11
59.7%	29.4%	10.9%	12
59.7%	29.4%	10.9%	12
62%	25%	13%	13
62%	25%	13%	13
68.3%	17.4%	14.4%	14
68.3%	17.4%	14.4%	14

Symmetry

(sort d2 d3)

Compiler

Compiled 28 to 24 computations (14.3% saved)

sample436.0ms (8.5%)

Algorithm

2×

intervals

Results

18.0ms	510×	body	128	valid
5.0ms	136×	body	128	invalid
0.0ms	1×	body	1024	valid
0.0ms	1×	body	512	valid

Compiler

Compiled 4423 to 4736 computations (-7.1% saved)

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	135	10
1	135	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

Error

0.0b

Counts

2 → 2

Compiler

Compiled 27 to 25 computations (7.4% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 d1 (+.f64 d2 (+.f64 d3 37)))

rewrite35.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

8×	`*-un-lft-identity_binary64_3829`
5×	`add-sqr-sqrt_binary64_3851` `associate-r_binary64_3769`
3×	`pow1_binary64_3890` `add-exp-log_binary64_3867` `add-cbrt-cube_binary64_3865` `add-cube-cbrt_binary64_3864` `associate-l_binary64_3770` `distribute-lft-out_binary64_3780`
2×	`associate-*r/_binary64_3771`
1×	`pow-prod-down_binary64_3900` `prod-exp_binary64_3878` `add-log-exp_binary64_3868` `cbrt-unprod_binary64_3862` `unswap-sqr_binary64_3797` `distribute-rgt-in_binary64_3779` `distribute-lft-in_binary64_3778` `flip3-+_binary64_3832` `flip-+_binary64_3803` `*-commutative_binary64_3760`

Counts

1 → 24

Calls

1 calls:

8.0ms

(*.f64 d1 (+.f64 d2 (+.f64 d3 37)))

Compiler

Compiled 336 to 216 computations (35.7% saved)

series152.0ms (2.9%)

Error

0.0b

Counts

1 → 15

Calls

1 calls:

141.0ms

(*.f64 d1 (+.f64 d2 (+.f64 d3 37)))

Compiler

Compiled 305 to 220 computations (27.9% saved)

simplify72.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4922	411
1	4922	411

prune37.0ms (0.7%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	35	4	39
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	36	5	41

Error

Counts

41 → 5

Compiler

Compiled 451 to 290 computations (35.7% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 d1 (+.f64 d3 37))
0.0b	(+.f64 (.f64 d1 d2) (.f64 d1 (+.f64 d3 37)))

rewrite45.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

6×	`add-sqr-sqrt_binary64_3851` `*-un-lft-identity_binary64_3829`
4×	`add-log-exp_binary64_3868` `pow1_binary64_3890` `add-exp-log_binary64_3867` `add-cbrt-cube_binary64_3865` `add-cube-cbrt_binary64_3864` `associate-r_binary64_3769`
3×	`associate-l_binary64_3770`
2×	`flip3-+_binary64_3832` `flip-+_binary64_3803` `distribute-lft-out_binary64_3780` `distribute-rgt-in_binary64_3779` `associate-+r+_binary64_3761` `distribute-lft-in_binary64_3778` `associate-*r/_binary64_3771`
1×	`sum-log_binary64_3920` `+-commutative_binary64_3759` `pow-prod-down_binary64_3900` `prod-exp_binary64_3878` `cbrt-unprod_binary64_3862` `unswap-sqr_binary64_3797` `*-commutative_binary64_3760`

Counts

2 → 37

Calls

2 calls:

6.0ms	(*.f64 d1 (+.f64 d3 37))
4.0ms	(+.f64 (.f64 d1 d2) (.f64 d1 (+.f64 d3 37)))

Compiler

Compiled 590 to 321 computations (45.6% saved)

series294.0ms (5.7%)

Error

Counts

2 → 24

Calls

2 calls:

203.0ms	(+.f64 (.f64 d1 d2) (.f64 d1 (+.f64 d3 37)))
77.0ms	(*.f64 d1 (+.f64 d3 37))

Compiler

Compiled 535 to 370 computations (30.8% saved)

simplify57.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5236	594

prune48.0ms (0.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	61	0	61
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	61	5	66

Error

Counts

66 → 5

Compiler

Compiled 718 to 403 computations (43.9% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (+.f64 d3 5) d1)
0.0b	(+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1))
0.1b	(+.f64 (+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1)) (*.f64 d1 32))

rewrite73.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

10×	`add-log-exp_binary64_3868`
7×	`add-sqr-sqrt_binary64_3851` `*-un-lft-identity_binary64_3829`
5×	`pow1_binary64_3890` `add-exp-log_binary64_3867` `add-cbrt-cube_binary64_3865` `add-cube-cbrt_binary64_3864`
4×	`sum-log_binary64_3920` `associate-l_binary64_3770`
3×	`flip3-+_binary64_3832` `flip-+_binary64_3803` `associate-r_binary64_3769`
2×	`+-commutative_binary64_3759` `associate-*l/_binary64_3772`
1×	`associate-+l+_binary64_3762` `pow-prod-down_binary64_3900` `prod-exp_binary64_3878` `cbrt-unprod_binary64_3862` `unswap-sqr_binary64_3797` `distribute-lft-out_binary64_3780` `*-commutative_binary64_3760`

Counts

3 → 45

Calls

3 calls:

7.0ms	(+.f64 (+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1)) (*.f64 d1 32))
6.0ms	(*.f64 (+.f64 d3 5) d1)
4.0ms	(+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1))

Compiler

Compiled 1001 to 590 computations (41.1% saved)

series542.0ms (10.5%)

Error

Counts

3 → 39

Calls

3 calls:

221.0ms	(+.f64 (+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1)) (*.f64 d1 32))
221.0ms	(+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1))
77.0ms	(*.f64 (+.f64 d3 5) d1)

Compiler

Compiled 1100 to 775 computations (29.5% saved)

simplify64.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4992	901
1	4992	901

prune75.0ms (1.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	84	5	89

Error

Counts

89 → 5

Compiler

Compiled 1175 to 716 computations (39.1% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (+.f64 d2 (+.f64 d3 37)))
0.0b	(sqrt.f64 (+.f64 d3 (+.f64 d2 37)))
0.2b	(*.f64 d1 (sqrt.f64 (+.f64 d3 (+.f64 d2 37))))
0.3b	(.f64 (.f64 d1 (sqrt.f64 (+.f64 d3 (+.f64 d2 37)))) (sqrt.f64 (+.f64 d2 (+.f64 d3 37))))

rewrite173.0ms (3.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

31×	`*-un-lft-identity_binary64_3829`
21×	`sqrt-prod_binary64_3845`
18×	`sqrt-div_binary64_3846`
17×	`add-sqr-sqrt_binary64_3851`
16×	`associate-r_binary64_3769`
13×	`pow1_binary64_3890`
12×	`distribute-lft-out_binary64_3780`
11×	`add-exp-log_binary64_3867` `add-cbrt-cube_binary64_3865` `add-cube-cbrt_binary64_3864`
10×	`associate-*r/_binary64_3771`
9×	`flip3-+_binary64_3832` `flip-+_binary64_3803`
4×	`pow-prod-down_binary64_3900` `prod-exp_binary64_3878` `add-log-exp_binary64_3868` `cbrt-unprod_binary64_3862` `frac-times_binary64_3839` `associate-l_binary64_3770`
2×	`associate-l/_binary64_3772` `-commutative_binary64_3760` `unswap-sqr_binary64_3797` `pow1/2_binary64_3909` `sqrt-pow1_binary64_3847` `rem-sqrt-square_binary64_3842`

Counts

4 → 91

Calls

4 calls:

16.0ms	(.f64 (.f64 d1 (sqrt.f64 (+.f64 d3 (+.f64 d2 37)))) (sqrt.f64 (+.f64 d2 (+.f64 d3 37))))
9.0ms	(*.f64 d1 (sqrt.f64 (+.f64 d3 (+.f64 d2 37))))
6.0ms	(sqrt.f64 (+.f64 d3 (+.f64 d2 37)))
5.0ms	(sqrt.f64 (+.f64 d2 (+.f64 d3 37)))

Compiler

Compiled 2282 to 1583 computations (30.6% saved)

series591.0ms (11.5%)

Error

Counts

4 → 54

Calls

4 calls:

176.0ms	(.f64 (.f64 d1 (sqrt.f64 (+.f64 d3 (+.f64 d2 37)))) (sqrt.f64 (+.f64 d2 (+.f64 d3 37))))
175.0ms	(*.f64 d1 (sqrt.f64 (+.f64 d3 (+.f64 d2 37))))
89.0ms	(sqrt.f64 (+.f64 d3 (+.f64 d2 37)))
88.0ms	(sqrt.f64 (+.f64 d2 (+.f64 d3 37)))

Compiler

Compiled 2648 to 2088 computations (21.1% saved)

simplify83.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5051	2631

prune172.0ms (3.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	145	0	145
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	145	5	150

Error

Counts

150 → 5

Compiler

Compiled 2946 to 2048 computations (30.5% saved)

regimes220.0ms (4.3%)

Accuracy

Total 0.0b remaining (90.8%)

Threshold costs 0.0b (90.8%)

Compiler

Compiled 1457 to 1363 computations (6.5% saved)

bsearch0.0ms (0%)

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	10
1	11	10

Remove

(sort d2 d3)

Compiler

Compiled 14 to 14 computations (0% saved)

end0.0ms (0%)

sample1.0s (19.8%)

Algorithm

1×

intervals

Results

283.0ms	7962×	body	128	valid
76.0ms	2159×	body	128	invalid
2.0ms	16×	body	512	valid
2.0ms	12×	body	1024	valid
1.0ms	10×	body	256	valid

Compiler

Compiled 300 to 279 computations (7% saved)

Details

analyze909.0ms (17.7%)

sample436.0ms (8.5%)

simplify9.0ms (0.2%)

prune4.0ms (0.1%)

localize5.0ms (0.1%)

rewrite35.0ms (0.7%)

series152.0ms (2.9%)

simplify72.0ms (1.4%)

prune37.0ms (0.7%)

localize6.0ms (0.1%)

rewrite45.0ms (0.9%)

series294.0ms (5.7%)

simplify57.0ms (1.1%)

prune48.0ms (0.9%)

localize9.0ms (0.2%)

rewrite73.0ms (1.4%)

series542.0ms (10.5%)

simplify64.0ms (1.2%)

prune75.0ms (1.5%)

localize10.0ms (0.2%)

rewrite173.0ms (3.4%)

series591.0ms (11.5%)

simplify83.0ms (1.6%)

prune172.0ms (3.3%)

regimes220.0ms (4.3%)

bsearch0.0ms (0%)

simplify8.0ms (0.2%)

end0.0ms (0%)

sample1.0s (19.8%)

Profiling