Details

analyze317.0ms (8.7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5007	32
0	2	2
1	2	2

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
12.5%	87.4%	0.1%	5
31.2%	68.7%	0.1%	6
46.8%	53.1%	0.1%	7
60.9%	39%	0.1%	8
67.9%	31.2%	0.9%	9
74.5%	22.2%	3.2%	10
77.9%	17.2%	5%	11
81.1%	11.8%	7.1%	12
82.7%	9%	8.3%	13
84.3%	6.1%	9.7%	14

Compiler

Compiled 12 to 10 computations (16.7% saved)

sample15.0ms (0.4%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
0.0ms	5×	body	128	invalid

Compiler

Compiled 23 to 21 computations (8.7% saved)

simplify105.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (99.0ms)

Iter	Nodes	Cost
0	5574	16

prune2.0ms (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

7.9b

Counts

2 → 1

Compiler

Compiled 22 to 18 computations (18.2% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.1b	(*.f64 x (+.f64 (/.f64 x y) 1))
7.4b	(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1))

rewrite26.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`*-un-lft-identity_binary64_20879`
9×	`add-cbrt-cube_binary64_20915` `add-exp-log_binary64_20917`
8×	`add-sqr-sqrt_binary64_20901`
6×	`add-cube-cbrt_binary64_20914`
4×	`times-frac_binary64_20885` `associate-/r_binary64_20823` `associate-r_binary64_20819` `pow1_binary64_20940` `associate-r/_binary64_20821`
3×	`associate-l_binary64_20820` `flip3-+_binary64_20882` `distribute-lft-out_binary64_20830` `flip-+_binary64_20853`
2×	`div-exp_binary64_20930` `associate-/l/_binary64_20826` `cbrt-undiv_binary64_20913` `associate-/r/_binary64_20825` `prod-exp_binary64_20928` `add-log-exp_binary64_20918` `cbrt-unprod_binary64_20912`
1×	`associate-/l_binary64_20824` `pow-prod-down_binary64_20950` `frac-2neg_binary64_20890` `distribute-rgt-in_binary64_20829` `distribute-lft-in_binary64_20828` `unswap-sqr_binary64_20847` `div-inv_binary64_20876` `-commutative_binary64_20810` `clear-num_binary64_20878`

Counts

2 → 50

Calls

2 calls:

13.0ms	(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1))
10.0ms	(*.f64 x (+.f64 (/.f64 x y) 1))

series46.0ms (1.3%)

Counts

2 → 6

Calls

2 calls:

30.0ms	(/.f64 (*.f64 x (+.f64 (/.f64 x y) 1)) (+.f64 x 1))
16.0ms	(*.f64 x (+.f64 (/.f64 x y) 1))

simplify73.0ms (2%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5169	839

prune60.0ms (1.7%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	51	5	56
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	52	5	57

Error

0.0b

Counts

57 → 5

Compiler

Compiled 969 to 581 computations (40% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 x (/.f64 (+.f64 x 1) (+.f64 (/.f64 x y) 1)))
0.1b	(/.f64 (+.f64 x 1) (+.f64 (/.f64 x y) 1))

rewrite42.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

155×	`*-un-lft-identity_binary64_20879`
146×	`times-frac_binary64_20885`
71×	`add-sqr-sqrt_binary64_20901` `add-cube-cbrt_binary64_20914`
42×	`distribute-lft-out_binary64_20830`
26×	`associate-/r*_binary64_20823`
11×	`associate-/r/_binary64_20825`
9×	`add-cbrt-cube_binary64_20915` `add-exp-log_binary64_20917`
7×	`associate-/l*_binary64_20824`
6×	`flip3-+_binary64_20882` `div-inv_binary64_20876` `flip-+_binary64_20853`
4×	`div-exp_binary64_20930` `cbrt-undiv_binary64_20913`
2×	`associate-/l/_binary64_20826` `frac-2neg_binary64_20890` `clear-num_binary64_20878` `pow1_binary64_20940` `add-log-exp_binary64_20918`

Counts

2 → 146

Calls

2 calls:

17.0ms	(/.f64 x (/.f64 (+.f64 x 1) (+.f64 (/.f64 x y) 1)))
11.0ms	(/.f64 (+.f64 x 1) (+.f64 (/.f64 x y) 1))

series56.0ms (1.5%)

Counts

2 → 6

Calls

2 calls:

32.0ms	(/.f64 (+.f64 x 1) (+.f64 (/.f64 x y) 1))
25.0ms	(/.f64 x (/.f64 (+.f64 x 1) (+.f64 (/.f64 x y) 1)))

simplify115.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4945	3967
1	4945	3967

prune161.0ms (4.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	149	3	152
Fresh	2	2	4
Picked	0	1	1
Done	0	0	0
Total	151	6	157

Error

Counts

157 → 6

Compiler

Compiled 3302 to 1922 computations (41.8% saved)

localize14.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (cbrt.f64 (+.f64 1 (/.f64 x y))) (cbrt.f64 (+.f64 1 (/.f64 x y))))
0.2b	(cbrt.f64 (+.f64 1 (/.f64 x y)))
0.2b	(cbrt.f64 (+.f64 1 (/.f64 x y)))
0.2b	(cbrt.f64 (+.f64 1 (/.f64 x y)))

rewrite45.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`cbrt-prod_binary64_20910`
35×	`*-un-lft-identity_binary64_20879`
23×	`add-sqr-sqrt_binary64_20901`
18×	`cbrt-div_binary64_20911`
15×	`add-cube-cbrt_binary64_20914`
11×	`pow1_binary64_20940`
9×	`swap-sqr_binary64_20846` `flip3-+_binary64_20882` `pow1/3_binary64_20961` `distribute-lft-out_binary64_20830` `flip-+_binary64_20853`
7×	`associate-l_binary64_20820` `associate-r_binary64_20819`
6×	`add-exp-log_binary64_20917`
4×	`add-cbrt-cube_binary64_20915` `unswap-sqr_binary64_20847` `add-log-exp_binary64_20918` `frac-times_binary64_20889`
2×	`pow-prod-down_binary64_20950` `pow-sqr_binary64_20852` `pow-prod-up_binary64_20949` `associate-r/_binary64_20821` `associate-l/_binary64_20822`
1×	`pow2_binary64_20960` `*-commutative_binary64_20810` `prod-exp_binary64_20928` `cbrt-unprod_binary64_20912` `pow-plus_binary64_20942`

Counts

4 → 95

Calls

4 calls:

17.0ms	(*.f64 (cbrt.f64 (+.f64 1 (/.f64 x y))) (cbrt.f64 (+.f64 1 (/.f64 x y))))
6.0ms	(cbrt.f64 (+.f64 1 (/.f64 x y)))
6.0ms	(cbrt.f64 (+.f64 1 (/.f64 x y)))
6.0ms	(cbrt.f64 (+.f64 1 (/.f64 x y)))

series476.0ms (13.1%)

Counts

4 → 12

Calls

4 calls:

147.0ms	(*.f64 (cbrt.f64 (+.f64 1 (/.f64 x y))) (cbrt.f64 (+.f64 1 (/.f64 x y))))
113.0ms	(cbrt.f64 (+.f64 1 (/.f64 x y)))
109.0ms	(cbrt.f64 (+.f64 1 (/.f64 x y)))
107.0ms	(cbrt.f64 (+.f64 1 (/.f64 x y)))

simplify108.0ms (3%)

Algorithm

1×	egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (87.0ms)

Iter	Nodes	Cost
0	5170	1633

prune151.0ms (4.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	107	6	113

Error

Counts

113 → 6

Compiler

Compiled 3269 to 1991 computations (39.1% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 x (.f64 (/.f64 (+.f64 x 1) (-.f64 (.f64 (/.f64 x y) (/.f64 x y)) 1)) (-.f64 (/.f64 x y) 1)))
0.2b	(*.f64 (/.f64 x y) (/.f64 x y))
3.4b	(.f64 (/.f64 (+.f64 x 1) (-.f64 (.f64 (/.f64 x y) (/.f64 x y)) 1)) (-.f64 (/.f64 x y) 1))
5.6b	(/.f64 (+.f64 x 1) (-.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1))

rewrite106.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Rules

99×	`*-un-lft-identity_binary64_20879`
97×	`add-sqr-sqrt_binary64_20901`
95×	`times-frac_binary64_20885`
60×	`add-cube-cbrt_binary64_20914`
43×	`associate-l_binary64_20820`
32×	`add-cbrt-cube_binary64_20915` `add-exp-log_binary64_20917`
23×	`associate-r_binary64_20819`
22×	`difference-of-squares_binary64_20848`
13×	`swap-sqr_binary64_20846` `distribute-lft-out_binary64_20830` `pow1_binary64_20940`
11×	`difference-of-sqr-1_binary64_20849`
10×	`div-exp_binary64_20930` `cbrt-undiv_binary64_20913`
9×	`associate-/r/_binary64_20825`
8×	`prod-exp_binary64_20928` `cbrt-unprod_binary64_20912`
7×	`associate-/l_binary64_20824` `associate-/r_binary64_20823` `div-inv_binary64_20876`
6×	`flip3--_binary64_20883` `flip--_binary64_20854` `cancel-sign-sub-inv_binary64_20845` `unswap-sqr_binary64_20847`
5×	`associate-*r/_binary64_20821` `frac-times_binary64_20889`
4×	`distribute-rgt-in_binary64_20829` `distribute-lft-in_binary64_20828` `add-log-exp_binary64_20918`
3×	`associate-*l/_binary64_20822`
2×	`pow-prod-down_binary64_20950` `associate-/l/_binary64_20826` `frac-2neg_binary64_20890` `sub-neg_binary64_20872` `*-commutative_binary64_20810` `clear-num_binary64_20878`
1×	`flip3-+_binary64_20882` `pow-sqr_binary64_20852` `distribute-lft-out--_binary64_20831` `pow-prod-up_binary64_20949` `pow2_binary64_20960` `flip-+_binary64_20853` `pow-plus_binary64_20942`

Counts

4 → 213

Calls

4 calls:

29.0ms	(.f64 (/.f64 (+.f64 x 1) (-.f64 (.f64 (/.f64 x y) (/.f64 x y)) 1)) (-.f64 (/.f64 x y) 1))
22.0ms	(/.f64 x (.f64 (/.f64 (+.f64 x 1) (-.f64 (.f64 (/.f64 x y) (/.f64 x y)) 1)) (-.f64 (/.f64 x y) 1)))
15.0ms	(/.f64 (+.f64 x 1) (-.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1))
11.0ms	(*.f64 (/.f64 x y) (/.f64 x y))

series151.0ms (4.1%)

Counts

4 → 12

Calls

4 calls:

45.0ms	(/.f64 x (.f64 (/.f64 (+.f64 x 1) (-.f64 (.f64 (/.f64 x y) (/.f64 x y)) 1)) (-.f64 (/.f64 x y) 1)))
44.0ms	(.f64 (/.f64 (+.f64 x 1) (-.f64 (.f64 (/.f64 x y) (/.f64 x y)) 1)) (-.f64 (/.f64 x y) 1))
39.0ms	(/.f64 (+.f64 x 1) (-.f64 (*.f64 (/.f64 x y) (/.f64 x y)) 1))
23.0ms	(*.f64 (/.f64 x y) (/.f64 x y))

simplify87.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

225 → 225

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5564	4538

prune268.0ms (7.4%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	225	0	225
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	225	6	231

Error

Counts

231 → 6

Compiler

Compiled 5747 to 3101 computations (46% saved)

regimes179.0ms (4.9%)

Accuracy

Total 0.1b remaining (93.4%)

Threshold costs 0.1b (93.4%)

Compiler

Compiled 2027 to 1482 computations (26.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	16
1	12	16

end0.0ms (0%)

sample1.0s (27.8%)

Algorithm

1×

intervals

Results

269.0ms	8000×	body	128	valid
8.0ms	259×	body	128	invalid

Compiler

Compiled 662 to 486 computations (26.6% saved)

Details

analyze317.0ms (8.7%)

sample15.0ms (0.4%)

simplify105.0ms (2.9%)

prune2.0ms (0.1%)

localize7.0ms (0.2%)

rewrite26.0ms (0.7%)

series46.0ms (1.3%)

simplify73.0ms (2%)

prune60.0ms (1.7%)

localize7.0ms (0.2%)

rewrite42.0ms (1.2%)

series56.0ms (1.5%)

simplify115.0ms (3.1%)

prune161.0ms (4.4%)

localize14.0ms (0.4%)

rewrite45.0ms (1.2%)

series476.0ms (13.1%)

simplify108.0ms (3%)

prune151.0ms (4.2%)

localize11.0ms (0.3%)

rewrite106.0ms (2.9%)

series151.0ms (4.1%)

simplify87.0ms (2.4%)

prune268.0ms (7.4%)

regimes179.0ms (4.9%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.0s (27.8%)

Profiling