Details

analyze172.0ms (7.7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	782	20
1	782	20
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
25%	74.9%	0.1%	4
37.5%	62.4%	0.1%	5
62.4%	37.5%	0.1%	6
87.4%	12.5%	0.1%	7
87.4%	12.5%	0.1%	8
93.7%	6.2%	0.1%	9
93.7%	6.2%	0.1%	10
96.8%	3.1%	0.1%	11
96.8%	3.1%	0.1%	12
98.3%	1.6%	0.1%	13
98.3%	1.6%	0.1%	14

Compiler

Compiled 8 to 6 computations (25% saved)

sample15.0ms (0.7%)

Algorithm

1×

intervals

Results

9.0ms

256×

body

128

valid

Compiler

Compiled 15 to 13 computations (13.3% saved)

simplify63.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	782	10
1	782	10

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

0.0b

Counts

2 → 1

Compiler

Compiled 14 to 10 computations (28.6% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(/.f64 (+.f64 x y) (-.f64 x y))

rewrite11.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

34×	`*-un-lft-identity_binary64_16787`
22×	`add-sqr-sqrt_binary64_16809`
20×	`times-frac_binary64_16793`
12×	`add-cube-cbrt_binary64_16822`
6×	`distribute-lft-out_binary64_16738`
5×	`difference-of-squares_binary64_16756` `distribute-lft-out--_binary64_16739` `associate-/r*_binary64_16731`
4×	`associate-/l*_binary64_16732`
3×	`add-exp-log_binary64_16825` `add-cbrt-cube_binary64_16823`
2×	`associate-/l/_binary64_16734` `associate-/r/_binary64_16733`
1×	`cbrt-undiv_binary64_16821` `add-log-exp_binary64_16826` `pow1_binary64_16848` `div-exp_binary64_16838` `clear-num_binary64_16786` `flip3--_binary64_16791` `flip-+_binary64_16761` `flip--_binary64_16762` `frac-2neg_binary64_16798` `div-inv_binary64_16784` `flip3-+_binary64_16790`

Counts

1 → 45

Calls

1 calls:

8.0ms

(/.f64 (+.f64 x y) (-.f64 x y))

series42.0ms (1.9%)

Counts

1 → 3

Calls

1 calls:

42.0ms

(/.f64 (+.f64 x y) (-.f64 x y))

simplify74.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5413	802

prune44.0ms (2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	45	3	48
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	46	3	49

Error

0.0b

Counts

49 → 3

Compiler

Compiled 696 to 158 computations (77.3% saved)

localize8.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))
0.0b	(log.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
0.0b	(/.f64 (+.f64 x y) (-.f64 x y))

rewrite38.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

93×	`*-un-lft-identity_binary64_16787`
61×	`add-sqr-sqrt_binary64_16809`
60×	`times-frac_binary64_16793`
52×	`exp-prod_binary64_16839`
35×	`add-cube-cbrt_binary64_16822`
27×	`log-pow_binary64_16876`
16×	`distribute-lft-out_binary64_16738`
13×	`difference-of-squares_binary64_16756` `distribute-lft-out--_binary64_16739`
6×	`associate-/r/_binary64_16733`
5×	`associate-/r*_binary64_16731` `add-exp-log_binary64_16825` `add-cbrt-cube_binary64_16823`
4×	`add-log-exp_binary64_16826` `associate-/l*_binary64_16732` `pow1_binary64_16848`
3×	`flip3--_binary64_16791` `flip--_binary64_16762` `log-prod_binary64_16873` `div-inv_binary64_16784`
2×	`associate-/l/_binary64_16734`
1×	`cbrt-undiv_binary64_16821` `rem-exp-log_binary64_16827` `div-exp_binary64_16838` `clear-num_binary64_16786` `rem-log-exp_binary64_16828` `flip-+_binary64_16761` `frac-2neg_binary64_16798` `flip3-+_binary64_16790`

Counts

3 → 117

Calls

3 calls:

10.0ms	(log.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
9.0ms	(exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))
8.0ms	(/.f64 (+.f64 x y) (-.f64 x y))

series167.0ms (7.5%)

Counts

3 → 9

Calls

3 calls:

60.0ms	(log.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
60.0ms	(exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))
48.0ms	(/.f64 (+.f64 x y) (-.f64 x y))

simplify79.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4980	1783
1	4980	1783

prune81.0ms (3.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	125	1	126
Fresh	1	1	2
Picked	0	1	1
Done	0	0	0
Total	126	3	129

Error

0.0b

Counts

129 → 3

Compiler

Compiled 1985 to 415 computations (79.1% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

rewrite37.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

178×	`times-frac_binary64_16793`
174×	`*-un-lft-identity_binary64_16787`
122×	`add-sqr-sqrt_binary64_16809`
80×	`add-cube-cbrt_binary64_16822`
30×	`associate-/r*_binary64_16731`
26×	`distribute-lft-out_binary64_16738`
21×	`difference-of-squares_binary64_16756` `distribute-lft-out--_binary64_16739`
15×	`add-exp-log_binary64_16825`
11×	`associate-/r/_binary64_16733`
9×	`add-cbrt-cube_binary64_16823`
8×	`associate-/l*_binary64_16732` `div-exp_binary64_16838`
6×	`div-inv_binary64_16784`
5×	`flip-+_binary64_16761` `flip3-+_binary64_16790`
4×	`cbrt-undiv_binary64_16821`
3×	`pow1_binary64_16848`
2×	`add-log-exp_binary64_16826` `rec-exp_binary64_16837` `1-exp_binary64_16831` `clear-num_binary64_16786` `associate-/l/_binary64_16734` `frac-2neg_binary64_16798`
1×	`div-sub_binary64_16792` `flip3--_binary64_16791` `pow-flip_binary64_16861` `inv-pow_binary64_16872` `flip--_binary64_16762`

Counts

2 → 174

Calls

2 calls:

11.0ms	(/.f64 1 (/.f64 (-.f64 x y) (+.f64 x y)))
8.0ms	(/.f64 (-.f64 x y) (+.f64 x y))

series87.0ms (3.9%)

Counts

2 → 6

Calls

2 calls:

46.0ms	(/.f64 1 (/.f64 (-.f64 x y) (+.f64 x y)))
41.0ms	(/.f64 (-.f64 x y) (+.f64 x y))

simplify89.0ms (4%)

Algorithm

1×	egg-herbie

Counts

180 → 180

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5005	3649

prune117.0ms (5.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	180	0	180
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	180	3	183

Error

0.0b

Counts

183 → 3

Compiler

Compiled 3013 to 744 computations (75.3% saved)

localize10.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 3)))
0.0b	(/.f64 (+.f64 x y) (-.f64 x y))
0.8b	(cbrt.f64 (pow.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 3))
1.0b	(pow.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 3)

rewrite52.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Rules

75×	`*-un-lft-identity_binary64_16787`
53×	`add-sqr-sqrt_binary64_16809`
40×	`times-frac_binary64_16793`
35×	`add-cube-cbrt_binary64_16822`
27×	`pow-pow_binary64_16859`
26×	`exp-prod_binary64_16839`
24×	`cbrt-prod_binary64_16818`
15×	`log-prod_binary64_16873`
11×	`distribute-lft-out_binary64_16738`
9×	`difference-of-squares_binary64_16756` `cube-prod_binary64_16815` `distribute-lft-out--_binary64_16739` `unpow-prod-down_binary64_16866`
7×	`add-exp-log_binary64_16825` `add-cbrt-cube_binary64_16823`
6×	`pow1_binary64_16848`
5×	`associate-/r*_binary64_16731`
4×	`add-log-exp_binary64_16826` `associate-/l*_binary64_16732` `associate-/r/_binary64_16733`
3×	`cube-mult_binary64_16817` `pow-unpow_binary64_16864` `unpow3_binary64_16853` `sqr-pow_binary64_16759`
2×	`flip3--_binary64_16791` `associate-/l/_binary64_16734` `pow1/3_binary64_16869` `log-pow_binary64_16876` `flip--_binary64_16762` `div-inv_binary64_16784`
1×	`cbrt-undiv_binary64_16821` `pow-exp_binary64_16855` `div-exp_binary64_16838` `clear-num_binary64_16786` `rem-cube-cbrt_binary64_16810` `rem-log-exp_binary64_16828` `flip-+_binary64_16761` `frac-2neg_binary64_16798` `pow-to-exp_binary64_16856` `rem-cbrt-cube_binary64_16811` `flip3-+_binary64_16790`

Counts

4 → 140

Calls

4 calls:

13.0ms	(pow.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 3)
10.0ms	(log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 3)))
9.0ms	(cbrt.f64 (pow.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 3))
8.0ms	(/.f64 (+.f64 x y) (-.f64 x y))

series282.0ms (12.7%)

Counts

4 → 12

Calls

4 calls:

112.0ms	(pow.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 3)
70.0ms	(log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 3)))
62.0ms	(cbrt.f64 (pow.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 3))
38.0ms	(/.f64 (+.f64 x y) (-.f64 x y))

simplify93.0ms (4.2%)

Algorithm

1×	egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4879	2555
1	4879	2555

prune114.0ms (5.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	152	0	152
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	152	3	155

Error

0.0b

Counts

155 → 3

Compiler

Compiled 2685 to 893 computations (66.7% saved)

regimes47.0ms (2.1%)

Accuracy

Total 0.0b remaining (64.2%)

Threshold costs 0.0b (64.2%)

Compiler

Compiled 312 to 213 computations (31.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	14
1	19	14

end0.0ms (0%)

sample483.0ms (21.7%)

Algorithm

1×

intervals

Results

186.0ms

8000×

body

128

valid

Compiler

Compiled 128 to 88 computations (31.3% saved)

Details

analyze172.0ms (7.7%)

sample15.0ms (0.7%)

simplify63.0ms (2.8%)

prune2.0ms (0.1%)

localize4.0ms (0.2%)

rewrite11.0ms (0.5%)

series42.0ms (1.9%)

simplify74.0ms (3.4%)

prune44.0ms (2%)

localize8.0ms (0.3%)

rewrite38.0ms (1.7%)

series167.0ms (7.5%)

simplify79.0ms (3.6%)

prune81.0ms (3.7%)

localize6.0ms (0.3%)

rewrite37.0ms (1.7%)

series87.0ms (3.9%)

simplify89.0ms (4%)

prune117.0ms (5.3%)

localize10.0ms (0.5%)

rewrite52.0ms (2.3%)

series282.0ms (12.7%)

simplify93.0ms (4.2%)

prune114.0ms (5.1%)

regimes47.0ms (2.1%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample483.0ms (21.7%)

Profiling