Details

analyze317.0ms (6%)

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)

sample58.0ms (1.1%)

Algorithm

1×

intervals

Results

35.0ms	152×	body	8192	exit
8.0ms	209×	body	128	valid
3.0ms	21×	body	512	valid
2.0ms	25×	body	256	valid
0.0ms	1×	body	1024	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 33 to 19 computations (42.4% saved)

simplify262.0ms (5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (98.0ms)

Iter	Nodes	Cost
0	4824	18
1	4824	18

prune8.0ms (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: 13.3b

Counts

2 → 2

Compiler

Compiled 68 to 43 computations (36.8% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 wj (exp.f64 wj))
0.0b	(*.f64 wj (exp.f64 wj))
0.0b	(+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj)))
4.6b	(-.f64 wj (/.f64 (-.f64 (.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (.f64 wj (exp.f64 wj)))))

rewrite41.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`add-sqr-sqrt_binary64_2853`
23×	`*-un-lft-identity_binary64_2831`
21×	`cancel-sign-sub-inv_binary64_2797`
17×	`add-cube-cbrt_binary64_2866`
16×	`times-frac_binary64_2837`
8×	`pow1_binary64_2892` `add-log-exp_binary64_2870` `add-cbrt-cube_binary64_2867`
6×	`associate-r_binary64_2771` `associate-l_binary64_2772` `add-exp-log_binary64_2869`
4×	`distribute-rgt-out_binary64_2784` `distribute-rgt1-in_binary64_2787`
2×	`pow-prod-down_binary64_2902` `flip3-+_binary64_2834` `cbrt-unprod_binary64_2864` `*-commutative_binary64_2762` `unswap-sqr_binary64_2799` `prod-exp_binary64_2880` `difference-of-squares_binary64_2800` `flip-+_binary64_2805` `associate-/r/_binary64_2777`
1×	`div-inv_binary64_2828` `flip3--_binary64_2835` `distribute-lft-out--_binary64_2783` `diff-log_binary64_2923` `sub-neg_binary64_2824` `associate--r-_binary64_2770` `+-commutative_binary64_2761` `flip--_binary64_2806` `div-sub_binary64_2836` `sum-log_binary64_2922`

Counts

4 → 85

Calls

4 calls:

17.0ms	(-.f64 wj (/.f64 (-.f64 (.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (.f64 wj (exp.f64 wj)))))
6.0ms	(*.f64 wj (exp.f64 wj))
6.0ms	(*.f64 wj (exp.f64 wj))
4.0ms	(+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj)))

series228.0ms (4.3%)

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)))))
43.0ms	(+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj)))
32.0ms	(*.f64 wj (exp.f64 wj))
31.0ms	(*.f64 wj (exp.f64 wj))

simplify63.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5079	1561

prune219.0ms (4.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	94	3	97
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	96	3	99

Merged error: 0.2b

Counts

99 → 3

Compiler

Compiled 4690 to 2196 computations (53.2% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite8.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`add-sqr-sqrt_binary64_2853`
3×	`pow1_binary64_2892` `add-cube-cbrt_binary64_2866` `add-cbrt-cube_binary64_2867` `associate-r_binary64_2771` `associate-l_binary64_2772` `add-exp-log_binary64_2869` `*-un-lft-identity_binary64_2831`
2×	`sub-neg_binary64_2824` `cancel-sign-sub-inv_binary64_2797` `associate-*r/_binary64_2773` `distribute-lft-in_binary64_2780` `distribute-rgt-in_binary64_2781`
1×	`pow-prod-down_binary64_2902` `add-log-exp_binary64_2870` `cbrt-unprod_binary64_2864` `*-commutative_binary64_2762` `flip3--_binary64_2835` `unswap-sqr_binary64_2799` `prod-exp_binary64_2880` `flip--_binary64_2806`

Counts

1 → 24

Calls

1 calls:

6.0ms

(*.f64 wj (-.f64 wj (*.f64 2 x)))

series63.0ms (1.2%)

Counts

1 → 3

Calls

1 calls:

63.0ms

(*.f64 wj (-.f64 wj (*.f64 2 x)))

simplify26.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (18.0ms)

Iter	Nodes	Cost
0	4909	338
1	4909	338

prune47.0ms (0.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	24	3	27
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	24	6	30

Merged error: 0.2b

Counts

30 → 6

Compiler

Compiled 810 to 527 computations (34.9% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 wj) (cbrt.f64 wj))
0.6b	(cbrt.f64 wj)
0.6b	(cbrt.f64 wj)
0.6b	(cbrt.f64 wj)

rewrite16.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_2862`
23×	`add-sqr-sqrt_binary64_2853`
15×	`add-cube-cbrt_binary64_2866` `*-un-lft-identity_binary64_2831`
11×	`pow1_binary64_2892`
9×	`pow1/3_binary64_2913`
6×	`swap-sqr_binary64_2798` `associate-r_binary64_2771` `associate-l_binary64_2772` `add-exp-log_binary64_2869`
4×	`add-log-exp_binary64_2870` `add-cbrt-cube_binary64_2867` `unswap-sqr_binary64_2799`
2×	`pow-prod-down_binary64_2902` `pow-prod-up_binary64_2901` `pow-sqr_binary64_2804`
1×	`cbrt-unprod_binary64_2864` `*-commutative_binary64_2762` `prod-exp_binary64_2880` `pow2_binary64_2912` `pow-plus_binary64_2894`

Counts

4 → 73

Calls

4 calls:

7.0ms	(*.f64 (cbrt.f64 wj) (cbrt.f64 wj))
1.0ms	(cbrt.f64 wj)
1.0ms	(cbrt.f64 wj)
1.0ms	(cbrt.f64 wj)

series623.0ms (11.8%)

Counts

4 → 12

Calls

4 calls:

187.0ms	(*.f64 (cbrt.f64 wj) (cbrt.f64 wj))
151.0ms	(cbrt.f64 wj)
147.0ms	(cbrt.f64 wj)
138.0ms	(cbrt.f64 wj)

simplify52.0ms (1%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5245	563

prune134.0ms (2.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	81	4	85
Fresh	2	2	4
Picked	1	0	1
Done	0	1	1
Total	84	7	91

Merged error: 0.2b

Counts

91 → 7

Compiler

Compiled 2591 to 1411 computations (45.5% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (cbrt.f64 wj))
0.6b	(cbrt.f64 (cbrt.f64 wj))
0.6b	(cbrt.f64 (cbrt.f64 wj))
1.0b	(pow.f64 (cbrt.f64 (cbrt.f64 wj)) 4)

rewrite16.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`cbrt-prod_binary64_2862`
14×	`add-cube-cbrt_binary64_2866` `add-sqr-sqrt_binary64_2853` `*-un-lft-identity_binary64_2831`
9×	`unpow-prod-down_binary64_2910`
5×	`pow1_binary64_2892` `add-exp-log_binary64_2869`
4×	`add-log-exp_binary64_2870` `add-cbrt-cube_binary64_2867` `pow1/3_binary64_2913`
3×	`pow-unpow_binary64_2908`
2×	`pow-pow_binary64_2903`
1×	`pow-exp_binary64_2899` `sqr-pow_binary64_2803` `pow-to-exp_binary64_2900`

Counts

4 → 66

Calls

4 calls:

4.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 wj)) 4)
2.0ms	(cbrt.f64 (cbrt.f64 wj))
2.0ms	(cbrt.f64 (cbrt.f64 wj))
2.0ms	(cbrt.f64 (cbrt.f64 wj))

series902.0ms (17.1%)

Counts

4 → 12

Calls

4 calls:

278.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 wj)) 4)
210.0ms	(cbrt.f64 (cbrt.f64 wj))
207.0ms	(cbrt.f64 (cbrt.f64 wj))
207.0ms	(cbrt.f64 (cbrt.f64 wj))

simplify94.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	4732	782
1	4732	782

prune107.0ms (2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	77	1	78
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	78	7	85

Merged error: 0.2b

Counts

85 → 7

Compiler

Compiled 2510 to 1147 computations (54.3% saved)

regimes34.0ms (0.7%)

Compiler: Compiled 284 to 192 computations (32.4% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	13
1	37	13

end0.0ms (0%)

sample1.9s (36.3%)

Algorithm

1×

intervals

Results

905.0ms	3969×	body	8192	exit
258.0ms	6550×	body	128	valid
88.0ms	682×	body	512	valid
62.0ms	746×	body	256	valid
4.0ms	22×	body	1024	valid
3.0ms	59×	body	128	invalid
0.0ms	10×	body	128	overflowed

Compiler

Compiled 183 to 121 computations (33.9% saved)

Details

analyze317.0ms (6%)

sample58.0ms (1.1%)

simplify262.0ms (5%)

prune8.0ms (0.1%)

localize8.0ms (0.1%)

rewrite41.0ms (0.8%)

series228.0ms (4.3%)

simplify63.0ms (1.2%)

prune219.0ms (4.2%)

localize6.0ms (0.1%)

rewrite8.0ms (0.2%)

series63.0ms (1.2%)

simplify26.0ms (0.5%)

prune47.0ms (0.9%)

localize9.0ms (0.2%)

rewrite16.0ms (0.3%)

series623.0ms (11.8%)

simplify52.0ms (1%)

prune134.0ms (2.5%)

localize13.0ms (0.3%)

rewrite16.0ms (0.3%)

series902.0ms (17.1%)

simplify94.0ms (1.8%)

prune107.0ms (2%)

regimes34.0ms (0.7%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.9s (36.3%)

Profiling