Details

analyze323.0ms (7.5%)

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
12.5%	87.4%	0.1%	5
18.7%	68.7%	12.6%	6
28.1%	59.3%	12.6%	7
32.8%	48.4%	18.8%	8
38.2%	42.9%	18.8%	9
41%	37.1%	22%	10
43.9%	34.1%	22%	11
45.5%	31%	23.5%	12
46.9%	29.6%	23.5%	13
47.7%	28%	24.3%	14

Compiler

Compiled 17 to 9 computations (47.1% saved)

sample52.0ms (1.2%)

Algorithm

1×

intervals

Results

28.0ms	117×	body	8192	exit
8.0ms	210×	body	128	valid
3.0ms	23×	body	512	valid
2.0ms	23×	body	256	valid
0.0ms	3×	body	128	invalid
0.0ms	1×	body	128	overflowed

Compiler

Compiled 33 to 19 computations (42.4% saved)

simplify106.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (99.0ms)

Iter	Nodes	Cost
0	4823	18
1	4823	18

prune6.0ms (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

Merged error: 12.9b

Counts

2 → 2

Compiler

Compiled 68 to 43 computations (36.8% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 x (exp.f64 wj))
0.0b	(/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1))
4.3b	(+.f64 wj (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1)))

rewrite49.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

49×	`*-un-lft-identity_binary64`
48×	`add-sqr-sqrt_binary64`
38×	`times-frac_binary64`
23×	`add-cube-cbrt_binary64`
10×	`difference-of-squares_binary64`
9×	`associate-/l*_binary64`
8×	`distribute-lft-out_binary64`
7×	`associate-/r*_binary64` `add-cbrt-cube_binary64`
6×	`add-exp-log_binary64`
5×	`add-log-exp_binary64` `distribute-lft-out--_binary64`
3×	`pow1_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `flip-+_binary64`
1×	`associate-+r-_binary64` `flip3--_binary64` `+-commutative_binary64` `flip--_binary64` `sum-log_binary64`

Counts

3 → 91

Calls

3 calls:

19.0ms	(+.f64 wj (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1)))
17.0ms	(/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1))
4.0ms	(/.f64 x (exp.f64 wj))

series245.0ms (5.7%)

Counts

3 → 9

Calls

3 calls:

96.0ms	(/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1))
77.0ms	(+.f64 wj (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1)))
71.0ms	(/.f64 x (exp.f64 wj))

simplify54.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5186	2095

prune258.0ms (6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	96	4	100
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	96	6	102

Merged error: 0.2b

Counts

102 → 6

Compiler

Compiled 5265 to 2760 computations (47.6% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(.f64 wj (+.f64 wj (.f64 x -2)))
0.0b	(+.f64 x (.f64 wj (+.f64 wj (.f64 x -2))))

rewrite12.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

2 → 35

Calls

2 calls:

6.0ms	(.f64 wj (+.f64 wj (.f64 x -2)))
4.0ms	(+.f64 x (.f64 wj (+.f64 wj (.f64 x -2))))

series115.0ms (2.7%)

Counts

2 → 6

Calls

2 calls:

64.0ms	(.f64 wj (+.f64 wj (.f64 x -2)))
51.0ms	(+.f64 x (.f64 wj (+.f64 wj (.f64 x -2))))

simplify62.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5017	598

prune34.0ms (0.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	41	0	41
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	41	6	47

Merged error: 0.2b

Counts

47 → 6

Compiler

Compiled 707 to 422 computations (40.3% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 wj (exp.f64 wj))
0.0b	(+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj)))
0.7b	(/.f64 (-.f64 (.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (.f64 wj (exp.f64 wj))))
4.3b	(-.f64 wj (/.f64 (-.f64 (.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (.f64 wj (exp.f64 wj)))))

rewrite49.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

35×	`*-un-lft-identity_binary64`
32×	`add-sqr-sqrt_binary64`
31×	`times-frac_binary64`
25×	`add-cube-cbrt_binary64`
21×	`cancel-sign-sub-inv_binary64`
8×	`add-log-exp_binary64` `distribute-rgt-out_binary64` `add-cbrt-cube_binary64` `distribute-rgt1-in_binary64`
7×	`add-exp-log_binary64`
6×	`pow1_binary64`
5×	`associate-/r*_binary64`
4×	`associate-/r/_binary64`
3×	`flip3-+_binary64` `associate-r_binary64` `associate-l_binary64` `associate-/l*_binary64` `flip-+_binary64`
2×	`associate-/l/_binary64` `flip3--_binary64` `div-sub_binary64` `difference-of-squares_binary64` `div-inv_binary64` `flip--_binary64`
1×	`pow-prod-down_binary64` `sub-neg_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `associate--r-_binary64` `unswap-sqr_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `distribute-lft-out--_binary64` `div-exp_binary64` `+-commutative_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 107

Calls

4 calls:

16.0ms	(-.f64 wj (/.f64 (-.f64 (.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (.f64 wj (exp.f64 wj)))))
13.0ms	(/.f64 (-.f64 (.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (.f64 wj (exp.f64 wj))))
5.0ms	(*.f64 wj (exp.f64 wj))
4.0ms	(+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj)))

series288.0ms (6.7%)

Counts

4 → 12

Calls

4 calls:

122.0ms	(-.f64 wj (/.f64 (-.f64 (.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (.f64 wj (exp.f64 wj)))))
92.0ms	(/.f64 (-.f64 (.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (.f64 wj (exp.f64 wj))))
38.0ms	(*.f64 wj (exp.f64 wj))
37.0ms	(+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj)))

simplify73.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5028	2708

prune114.0ms (2.6%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	119	0	119
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	119	6	125

Merged error: 0.2b

Counts

125 → 6

Compiler

Compiled 2835 to 1140 computations (59.8% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (+.f64 wj (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1))))
4.3b	(+.f64 wj (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1)))
4.3b	(+.f64 wj (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1)))
4.3b	(+.f64 wj (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1)))

rewrite87.0ms (2%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`*-un-lft-identity_binary64`
10×	`add-log-exp_binary64`
5×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`flip3-+_binary64` `pow1_binary64` `distribute-lft-out_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip-+_binary64` `cbrt-prod_binary64`
3×	`associate-+r-_binary64` `div-sub_binary64` `+-commutative_binary64` `sum-log_binary64`
2×	`cbrt-div_binary64`
1×	`pow1/3_binary64`

Counts

4 → 53

Calls

4 calls:

22.0ms	(+.f64 wj (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1)))
20.0ms	(+.f64 wj (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1)))
19.0ms	(+.f64 wj (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1)))
18.0ms	(cbrt.f64 (+.f64 wj (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1))))

series401.0ms (9.3%)

Counts

4 → 12

Calls

4 calls:

178.0ms	(cbrt.f64 (+.f64 wj (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1))))
81.0ms	(+.f64 wj (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1)))
74.0ms	(+.f64 wj (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1)))
68.0ms	(+.f64 wj (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1)))

simplify41.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5032	1674

prune124.0ms (2.9%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	64	1	65
Fresh	0	2	2
Picked	1	0	1
Done	0	3	3
Total	65	6	71

Merged error: 0.2b

Counts

71 → 6

Compiler

Compiled 3563 to 1610 computations (54.8% saved)

regimes62.0ms (1.4%)

Compiler: Compiled 522 to 297 computations (43.1% saved)

bsearch1.0ms (0%)

Compiler: Compiled 16 to 8 computations (50% saved)

simplify15.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (12.0ms)

Iter	Nodes	Cost
0	185	61
1	185	61

end0.0ms (0%)

sample1.7s (39.8%)

Algorithm

1×

intervals

Results

881.0ms	3790×	body	8192	exit
271.0ms	6547×	body	128	valid
87.0ms	690×	body	512	valid
60.0ms	744×	body	256	valid
5.0ms	95×	body	128	invalid
3.0ms	19×	body	1024	valid
0.0ms	11×	body	128	overflowed

Compiler

Compiled 236 to 135 computations (42.8% saved)

Details

analyze323.0ms (7.5%)

sample52.0ms (1.2%)

simplify106.0ms (2.4%)

prune6.0ms (0.1%)

localize8.0ms (0.2%)

rewrite49.0ms (1.1%)

series245.0ms (5.7%)

simplify54.0ms (1.2%)

prune258.0ms (6%)

localize6.0ms (0.1%)

rewrite12.0ms (0.3%)

series115.0ms (2.7%)

simplify62.0ms (1.4%)

prune34.0ms (0.8%)

localize8.0ms (0.2%)

rewrite49.0ms (1.1%)

series288.0ms (6.7%)

simplify73.0ms (1.7%)

prune114.0ms (2.6%)

localize13.0ms (0.3%)

rewrite87.0ms (2%)

series401.0ms (9.3%)

simplify41.0ms (0.9%)

prune124.0ms (2.9%)

regimes62.0ms (1.4%)

bsearch1.0ms (0%)

simplify15.0ms (0.3%)

end0.0ms (0%)

sample1.7s (39.8%)

Profiling