Details

analyze40.0ms (0.7%)

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
50%	50%	0.1%	3
50%	50%	0.1%	4
62.4%	37.5%	0.1%	5
62.4%	31.2%	6.3%	6
68.7%	21.9%	9.5%	7
68.7%	17.2%	14.1%	8
71.8%	11.7%	16.5%	9
71.8%	9%	19.2%	10
73.4%	6%	20.6%	11
73.4%	4.6%	22%	12
74.1%	3.1%	22.8%	13
74.1%	2.3%	23.5%	14

Compiler

Compiled 7 to 7 computations (0% saved)

sample39.0ms (0.6%)

Algorithm

1×

intervals

Results

14.0ms	42×	body	2048	valid
11.0ms	71×	body	1024	valid
3.0ms	33×	body	512	valid
2.0ms	89×	body	128	valid
1.0ms	21×	body	256	valid
0.0ms	4×	body	128	invalid

Compiler

Compiled 13 to 15 computations (-15.4% saved)

simplify227.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5029	9

prune2.0ms (0%)

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: 32.2b

Counts

2 → 1

Compiler

Compiled 12 to 12 computations (0% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

3.3b	(-.f64 (exp.f64 (*.f64 a x)) 1)

rewrite6.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64_1133`
5×	`*-un-lft-identity_binary64_1111`
3×	`cancel-sign-sub-inv_binary64_1077` `add-log-exp_binary64_1150`
2×	`add-cube-cbrt_binary64_1146` `difference-of-squares_binary64_1080`
1×	`add-cbrt-cube_binary64_1147` `flip3--_binary64_1115` `diff-log_binary64_1203` `difference-of-sqr-1_binary64_1081` `pow1_binary64_1172` `sub-neg_binary64_1104` `distribute-lft-out--_binary64_1063` `flip--_binary64_1086` `add-exp-log_binary64_1149`

Counts

1 → 18

Calls

1 calls:

5.0ms

(-.f64 (exp.f64 (*.f64 a x)) 1)

series44.0ms (0.7%)

Counts

1 → 3

Calls

1 calls:

44.0ms

(-.f64 (exp.f64 (*.f64 a x)) 1)

simplify68.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4939	277
1	4939	277

prune44.0ms (0.7%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	16	5	21
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	17	5	22

Merged error: 2.4b

Counts

22 → 5

Compiler

Compiled 542 to 368 computations (32.1% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (.f64 x x) (+.f64 1/2 (.f64 1/6 (.f64 a x))))
0.3b	(.f64 1/6 (.f64 a x))
0.7b	(.f64 a (+.f64 x (.f64 a (.f64 (.f64 x x) (+.f64 1/2 (.f64 1/6 (.f64 a x)))))))
8.6b	(.f64 a (.f64 (.f64 x x) (+.f64 1/2 (.f64 1/6 (*.f64 a x)))))

rewrite41.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`add-cbrt-cube_binary64_1147` `pow1_binary64_1172` `add-exp-log_binary64_1149`
13×	`prod-exp_binary64_1160` `cbrt-unprod_binary64_1144` `pow-prod-down_binary64_1182`
12×	`add-sqr-sqrt_binary64_1133`
10×	`associate-l_binary64_1052`
9×	`*-un-lft-identity_binary64_1111` `add-cube-cbrt_binary64_1146`
8×	`associate-r_binary64_1051` `associate-*r/_binary64_1053`
6×	`distribute-lft-in_binary64_1060` `distribute-rgt-in_binary64_1061`
4×	`*-commutative_binary64_1042` `add-log-exp_binary64_1150`
3×	`flip-+_binary64_1085` `flip3-+_binary64_1114`
2×	`unswap-sqr_binary64_1079`

Counts

4 → 90

Calls

4 calls:

13.0ms	(.f64 a (.f64 (.f64 x x) (+.f64 1/2 (.f64 1/6 (*.f64 a x)))))
8.0ms	(.f64 (.f64 x x) (+.f64 1/2 (.f64 1/6 (.f64 a x))))
6.0ms	(.f64 a (+.f64 x (.f64 a (.f64 (.f64 x x) (+.f64 1/2 (.f64 1/6 (.f64 a x)))))))
6.0ms	(.f64 1/6 (.f64 a x))

series423.0ms (6.9%)

Counts

4 → 12

Calls

4 calls:

174.0ms	(.f64 a (+.f64 x (.f64 a (.f64 (.f64 x x) (+.f64 1/2 (.f64 1/6 (.f64 a x)))))))
149.0ms	(.f64 a (.f64 (.f64 x x) (+.f64 1/2 (.f64 1/6 (*.f64 a x)))))
73.0ms	(.f64 (.f64 x x) (+.f64 1/2 (.f64 1/6 (.f64 a x))))
27.0ms	(.f64 1/6 (.f64 a x))

simplify46.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5782	1980

prune128.0ms (2.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	101	1	102
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	101	6	107

Merged error: 2.4b

Counts

107 → 6

Compiler

Compiled 2749 to 1526 computations (44.5% saved)

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

8.6b	(.f64 a (.f64 (.f64 x x) (+.f64 1/2 (.f64 1/6 (*.f64 a x)))))
9.1b	(cbrt.f64 (+.f64 x (.f64 a (.f64 (.f64 x x) (+.f64 1/2 (.f64 1/6 (*.f64 a x)))))))
9.1b	(cbrt.f64 (+.f64 x (.f64 a (.f64 (.f64 x x) (+.f64 1/2 (.f64 1/6 (*.f64 a x)))))))
9.1b	(cbrt.f64 (+.f64 x (.f64 a (.f64 (.f64 x x) (+.f64 1/2 (.f64 1/6 (*.f64 a x)))))))

rewrite35.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-cbrt-cube_binary64_1147` `pow1_binary64_1172` `add-exp-log_binary64_1149`
9×	`cbrt-prod_binary64_1142`
8×	`*-un-lft-identity_binary64_1111` `add-sqr-sqrt_binary64_1133` `add-cube-cbrt_binary64_1146`
6×	`prod-exp_binary64_1160` `cbrt-unprod_binary64_1144` `pow-prod-down_binary64_1182` `cbrt-div_binary64_1143`
4×	`flip-+_binary64_1085` `distribute-lft-in_binary64_1060` `flip3-+_binary64_1114` `add-log-exp_binary64_1150` `distribute-rgt-in_binary64_1061` `associate-*r/_binary64_1053`
3×	`pow1/3_binary64_1193` `associate-l_binary64_1052`
1×	`-commutative_binary64_1042` `associate-r*_binary64_1051`

Counts

4 → 66

Calls

4 calls:

13.0ms	(.f64 a (.f64 (.f64 x x) (+.f64 1/2 (.f64 1/6 (*.f64 a x)))))
3.0ms	(cbrt.f64 (+.f64 x (.f64 a (.f64 (.f64 x x) (+.f64 1/2 (.f64 1/6 (*.f64 a x)))))))
3.0ms	(cbrt.f64 (+.f64 x (.f64 a (.f64 (.f64 x x) (+.f64 1/2 (.f64 1/6 (*.f64 a x)))))))
3.0ms	(cbrt.f64 (+.f64 x (.f64 a (.f64 (.f64 x x) (+.f64 1/2 (.f64 1/6 (*.f64 a x)))))))

series1.4s (22.5%)

Counts

4 → 12

Calls

4 calls:

428.0ms	(cbrt.f64 (+.f64 x (.f64 a (.f64 (.f64 x x) (+.f64 1/2 (.f64 1/6 (*.f64 a x)))))))
402.0ms	(cbrt.f64 (+.f64 x (.f64 a (.f64 (.f64 x x) (+.f64 1/2 (.f64 1/6 (*.f64 a x)))))))
401.0ms	(cbrt.f64 (+.f64 x (.f64 a (.f64 (.f64 x x) (+.f64 1/2 (.f64 1/6 (*.f64 a x)))))))
141.0ms	(.f64 a (.f64 (.f64 x x) (+.f64 1/2 (.f64 1/6 (*.f64 a x)))))

simplify67.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5035	2784

prune222.0ms (3.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	77	1	78
Fresh	0	4	4
Picked	1	0	1
Done	0	1	1
Total	78	6	84

Merged error: 2.4b

Counts

84 → 6

Compiler

Compiled 5518 to 3089 computations (44% saved)

localize21.0ms (0.4%)

Local error

Found 4 expressions with local error:

8.6b	(.f64 a (.f64 (.f64 x x) (+.f64 1/2 (.f64 1/6 (*.f64 a x)))))
9.1b	(cbrt.f64 (+.f64 x (.f64 (.f64 x (.f64 x a)) (+.f64 1/2 (.f64 1/6 (*.f64 a x))))))
9.1b	(cbrt.f64 (+.f64 x (.f64 a (.f64 (.f64 x x) (+.f64 1/2 (.f64 1/6 (*.f64 a x)))))))
9.1b	(cbrt.f64 (+.f64 x (.f64 a (.f64 (.f64 x x) (+.f64 1/2 (.f64 1/6 (*.f64 a x)))))))

rewrite31.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-cbrt-cube_binary64_1147` `pow1_binary64_1172` `add-exp-log_binary64_1149`
9×	`cbrt-prod_binary64_1142`
8×	`*-un-lft-identity_binary64_1111` `add-sqr-sqrt_binary64_1133` `add-cube-cbrt_binary64_1146`
6×	`prod-exp_binary64_1160` `cbrt-unprod_binary64_1144` `pow-prod-down_binary64_1182` `cbrt-div_binary64_1143`
4×	`flip-+_binary64_1085` `distribute-lft-in_binary64_1060` `flip3-+_binary64_1114` `add-log-exp_binary64_1150` `distribute-rgt-in_binary64_1061` `associate-*r/_binary64_1053`
3×	`pow1/3_binary64_1193` `associate-l_binary64_1052`
1×	`-commutative_binary64_1042` `associate-r*_binary64_1051`

Counts

4 → 66

Calls

4 calls:

11.0ms	(.f64 a (.f64 (.f64 x x) (+.f64 1/2 (.f64 1/6 (*.f64 a x)))))
3.0ms	(cbrt.f64 (+.f64 x (.f64 a (.f64 (.f64 x x) (+.f64 1/2 (.f64 1/6 (*.f64 a x)))))))
3.0ms	(cbrt.f64 (+.f64 x (.f64 a (.f64 (.f64 x x) (+.f64 1/2 (.f64 1/6 (*.f64 a x)))))))
3.0ms	(cbrt.f64 (+.f64 x (.f64 (.f64 x (.f64 x a)) (+.f64 1/2 (.f64 1/6 (*.f64 a x))))))

series1.4s (23.7%)

Counts

4 → 12

Calls

4 calls:

438.0ms	(cbrt.f64 (+.f64 x (.f64 a (.f64 (.f64 x x) (+.f64 1/2 (.f64 1/6 (*.f64 a x)))))))
435.0ms	(cbrt.f64 (+.f64 x (.f64 (.f64 x (.f64 x a)) (+.f64 1/2 (.f64 1/6 (*.f64 a x))))))
424.0ms	(cbrt.f64 (+.f64 x (.f64 a (.f64 (.f64 x x) (+.f64 1/2 (.f64 1/6 (*.f64 a x)))))))
148.0ms	(.f64 a (.f64 (.f64 x x) (+.f64 1/2 (.f64 1/6 (*.f64 a x)))))

simplify51.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	6006	2796

prune214.0ms (3.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	77	1	78
Fresh	0	4	4
Picked	1	0	1
Done	0	1	1
Total	78	6	84

Merged error: 2.4b

Counts

84 → 6

Compiler

Compiled 5429 to 2961 computations (45.5% saved)

regimes152.0ms (2.5%)

Compiler: Compiled 706 to 545 computations (22.8% saved)

bsearch1.0ms (0%)

Compiler: Compiled 3 to 3 computations (0% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	39	47
1	39	47

end0.0ms (0%)

sample1.3s (22.1%)

Algorithm

1×

intervals

Results

471.0ms	1389×	body	2048	valid
286.0ms	1807×	body	1024	valid
110.0ms	1135×	body	512	valid
88.0ms	3058×	body	128	valid
38.0ms	611×	body	256	valid
4.0ms	152×	body	128	invalid

Compiler

Compiled 179 to 127 computations (29.1% saved)

Details

analyze40.0ms (0.7%)

sample39.0ms (0.6%)

simplify227.0ms (3.7%)

prune2.0ms (0%)

localize4.0ms (0.1%)

rewrite6.0ms (0.1%)

series44.0ms (0.7%)

simplify68.0ms (1.1%)

prune44.0ms (0.7%)

localize11.0ms (0.2%)

rewrite41.0ms (0.7%)

series423.0ms (6.9%)

simplify46.0ms (0.7%)

prune128.0ms (2.1%)

localize16.0ms (0.3%)

rewrite35.0ms (0.6%)

series1.4s (22.5%)

simplify67.0ms (1.1%)

prune222.0ms (3.6%)

localize21.0ms (0.4%)

rewrite31.0ms (0.5%)

series1.4s (23.7%)

simplify51.0ms (0.8%)

prune214.0ms (3.5%)

regimes152.0ms (2.5%)

bsearch1.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.3s (22.1%)

Profiling