Details

analyze346.0ms (3.6%)

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
0%	99.9%	0.1%	5
0%	87.4%	12.6%	6
20.3%	59.3%	20.4%	7
21.1%	51.5%	27.4%	8
35.5%	30.4%	34%	9
35.7%	26.1%	38.1%	10
42.8%	15.4%	41.8%	11
42.9%	13.2%	44%	12
46.4%	7.8%	45.8%	13
46.4%	6.6%	47%	14

Compiler

Compiled 30 to 26 computations (13.3% saved)

sample102.0ms (1.1%)

Algorithm

1×

intervals

Results

40.0ms	53×	body	1024	valid
26.0ms	159×	body	128	valid
11.0ms	27×	body	512	valid
6.0ms	5×	body	2048	valid
3.0ms	12×	body	256	valid
2.0ms	12×	body	128	invalid
0.0ms	3×	body	128	overflowed

Compiler

Compiled 59 to 53 computations (10.2% saved)

simplify250.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (97.0ms)

Iter	Nodes	Cost
0	5212	41

prune9.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

24.1b

Counts

2 → 1

Compiler

Compiled 56 to 48 computations (14.3% saved)

localize35.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (+.f64 1 eps) x)
0.0b	(.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (.f64 (+.f64 1 eps) x))))
0.0b	(.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x))))
1.2b	(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x)))) (.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (.f64 (+.f64 1 eps) x)))))

rewrite129.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

81×	`frac-sub_binary64_87`
80×	`exp-neg_binary64_125` `frac-times_binary64_88`
60×	`exp-diff_binary64_126` `neg-sub0_binary64_73`
42×	`associate-*l/_binary64_21`
40×	`associate-*r/_binary64_20`
31×	`add-sqr-sqrt_binary64_100` `flip-+_binary64_52` `flip3--_binary64_82` `flip--_binary64_53` `flip3-+_binary64_81`
24×	`*-un-lft-identity_binary64_78`
23×	`associate-l_binary64_19`
20×	`un-div-inv_binary64_76`
10×	`add-cbrt-cube_binary64_114` `add-cube-cbrt_binary64_113` `pow1_binary64_139`
9×	`associate-r_binary64_18`
8×	`add-exp-log_binary64_116`
6×	`add-log-exp_binary64_117` `times-frac_binary64_84` `difference-of-squares_binary64_47`
3×	`*-commutative_binary64_9` `cbrt-unprod_binary64_111` `prod-exp_binary64_127` `pow-prod-down_binary64_149` `unswap-sqr_binary64_46` `distribute-lft-out_binary64_29` `difference-of-sqr-1_binary64_48`
2×	`distribute-lft-out--_binary64_30` `div-inv_binary64_75`
1×	`diff-log_binary64_170` `cancel-sign-sub-inv_binary64_44` `sub-neg_binary64_71`

Counts

4 → 181

Calls

4 calls:

24.0ms	(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x)))) (.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (.f64 (+.f64 1 eps) x)))))
16.0ms	(.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (.f64 (+.f64 1 eps) x))))
13.0ms	(.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x))))
13.0ms	(*.f64 (+.f64 1 eps) x)

series316.0ms (3.3%)

Counts

4 → 12

Calls

4 calls:

167.0ms	(-.f64 (.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x)))) (.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (.f64 (+.f64 1 eps) x)))))
68.0ms	(.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (.f64 (+.f64 1 eps) x))))
46.0ms	(.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (.f64 (-.f64 1 eps) x))))
35.0ms	(*.f64 (+.f64 1 eps) x)

simplify198.0ms (2%)

Algorithm

1×	egg-herbie

Counts

193 → 193

Iterations

Useful iterations: 0 (94.0ms)

Iter	Nodes	Cost
0	4990	9375
1	4990	9375

prune809.0ms (8.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	190	3	193
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	191	3	194

Error

0.1b

Counts

194 → 3

Compiler

Compiled 8898 to 6834 computations (23.2% saved)

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.1b	(*.f64 (pow.f64 x 3) 2/3)
7.4b	(-.f64 (+.f64 (.f64 (pow.f64 x 3) 2/3) 2) (.f64 x x))

rewrite18.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64_100`
12×	`associate-l_binary64_19`
7×	`add-log-exp_binary64_117` `add-exp-log_binary64_116`
6×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
4×	`add-cbrt-cube_binary64_114` `unpow-prod-down_binary64_157` `unswap-sqr_binary64_46` `cube-prod_binary64_106`
3×	`prod-exp_binary64_127` `associate-r_binary64_18`
2×	`diff-log_binary64_170` `sqr-pow_binary64_50` `pow1_binary64_139`
1×	`cube-mult_binary64_108` `*-commutative_binary64_9` `pow-exp_binary64_146` `pow-to-exp_binary64_147` `cbrt-unprod_binary64_111` `flip3--_binary64_82` `associate--l+_binary64_15` `flip--_binary64_53` `difference-of-squares_binary64_47` `cancel-sign-sub-inv_binary64_44` `unpow3_binary64_144` `sub-neg_binary64_71` `sum-log_binary64_169`

Counts

2 → 46

Calls

2 calls:

9.0ms	(-.f64 (+.f64 (.f64 (pow.f64 x 3) 2/3) 2) (.f64 x x))
6.0ms	(*.f64 (pow.f64 x 3) 2/3)

series41.0ms (0.4%)

Counts

2 → 6

Calls

2 calls:

23.0ms	(*.f64 (pow.f64 x 3) 2/3)
18.0ms	(-.f64 (+.f64 (.f64 (pow.f64 x 3) 2/3) 2) (.f64 x x))

simplify57.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4879	687
1	4879	687

prune79.0ms (0.8%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	51	1	52
Fresh	0	2	2
Picked	1	0	1
Done	0	0	0
Total	52	3	55

Error

0.1b

Counts

55 → 3

Compiler

Compiled 1044 to 774 computations (25.9% saved)

localize16.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.1b	(*.f64 (pow.f64 x 3) 2/3)
7.4b	(+.f64 (.f64 (pow.f64 x 3) 2/3) (-.f64 2 (.f64 x x)))

rewrite29.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64_100`
12×	`associate-l_binary64_19`
7×	`add-log-exp_binary64_117` `add-exp-log_binary64_116`
6×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
4×	`add-cbrt-cube_binary64_114` `unpow-prod-down_binary64_157` `unswap-sqr_binary64_46` `cube-prod_binary64_106`
3×	`prod-exp_binary64_127` `associate-r_binary64_18`
2×	`associate-+r+_binary64_10` `sqr-pow_binary64_50` `pow1_binary64_139` `sum-log_binary64_169`
1×	`cube-mult_binary64_108` `+-commutative_binary64_8` `*-commutative_binary64_9` `pow-exp_binary64_146` `pow-to-exp_binary64_147` `associate-+r-_binary64_12` `cbrt-unprod_binary64_111` `flip-+_binary64_52` `diff-log_binary64_170` `cancel-sign-sub-inv_binary64_44` `unpow3_binary64_144` `sub-neg_binary64_71` `flip3-+_binary64_81`

Counts

2 → 46

Calls

2 calls:

14.0ms	(+.f64 (.f64 (pow.f64 x 3) 2/3) (-.f64 2 (.f64 x x)))
9.0ms	(*.f64 (pow.f64 x 3) 2/3)

series56.0ms (0.6%)

Counts

2 → 6

Calls

2 calls:

38.0ms	(*.f64 (pow.f64 x 3) 2/3)
18.0ms	(+.f64 (.f64 (pow.f64 x 3) 2/3) (-.f64 2 (.f64 x x)))

simplify71.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5039	659

prune66.0ms (0.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	51	1	52
Fresh	0	2	2
Picked	1	0	1
Done	0	0	0
Total	52	3	55

Error

0.1b

Counts

55 → 3

Compiler

Compiled 1054 to 770 computations (26.9% saved)

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(pow.f64 (-.f64 2 (*.f64 x x)) 3)
0.1b	(*.f64 (pow.f64 x 3) 2/3)
13.8b	(+.f64 (.f64 (pow.f64 x 9) 8/27) (pow.f64 (-.f64 2 (.f64 x x)) 3))
15.7b	(/.f64 (+.f64 (.f64 (pow.f64 x 9) 8/27) (pow.f64 (-.f64 2 (.f64 x x)) 3)) (+.f64 (.f64 (pow.f64 x 6) 4/9) (.f64 (-.f64 2 (.f64 x x)) (-.f64 (-.f64 2 (.f64 x x)) (*.f64 (pow.f64 x 3) 2/3)))))

rewrite67.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`add-sqr-sqrt_binary64_100`
19×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
12×	`associate-l_binary64_19` `add-exp-log_binary64_116`
9×	`add-cbrt-cube_binary64_114` `times-frac_binary64_84`
8×	`unpow-prod-down_binary64_157` `cube-prod_binary64_106`
6×	`add-log-exp_binary64_117`
5×	`pow1_binary64_139`
4×	`unswap-sqr_binary64_46`
3×	`prod-exp_binary64_127` `flip-+_binary64_52` `sqr-pow_binary64_50` `associate-r_binary64_18` `associate-/l_binary64_23` `associate-/r_binary64_22` `pow-unpow_binary64_155` `flip3-+_binary64_81`
2×	`cube-mult_binary64_108` `pow-exp_binary64_146` `pow-to-exp_binary64_147` `cube-div_binary64_107` `difference-of-squares_binary64_47` `associate-/r/_binary64_24` `associate-/l/_binary64_25` `unpow3_binary64_144`
1×	`rem-cube-cbrt_binary64_101` `+-commutative_binary64_8` `*-commutative_binary64_9` `cbrt-unprod_binary64_111` `cbrt-undiv_binary64_112` `div-exp_binary64_129` `flip3--_binary64_82` `frac-2neg_binary64_89` `div-inv_binary64_75` `pow-pow_binary64_150` `flip--_binary64_53` `clear-num_binary64_77` `sum-log_binary64_169`

Counts

4 → 100

Calls

4 calls:

30.0ms	(/.f64 (+.f64 (.f64 (pow.f64 x 9) 8/27) (pow.f64 (-.f64 2 (.f64 x x)) 3)) (+.f64 (.f64 (pow.f64 x 6) 4/9) (.f64 (-.f64 2 (.f64 x x)) (-.f64 (-.f64 2 (.f64 x x)) (*.f64 (pow.f64 x 3) 2/3)))))
10.0ms	(+.f64 (.f64 (pow.f64 x 9) 8/27) (pow.f64 (-.f64 2 (.f64 x x)) 3))
6.0ms	(*.f64 (pow.f64 x 3) 2/3)
4.0ms	(pow.f64 (-.f64 2 (*.f64 x x)) 3)

series188.0ms (1.9%)

Counts

4 → 12

Calls

4 calls:

68.0ms	(/.f64 (+.f64 (.f64 (pow.f64 x 9) 8/27) (pow.f64 (-.f64 2 (.f64 x x)) 3)) (+.f64 (.f64 (pow.f64 x 6) 4/9) (.f64 (-.f64 2 (.f64 x x)) (-.f64 (-.f64 2 (.f64 x x)) (*.f64 (pow.f64 x 3) 2/3)))))
65.0ms	(+.f64 (.f64 (pow.f64 x 9) 8/27) (pow.f64 (-.f64 2 (.f64 x x)) 3))
33.0ms	(pow.f64 (-.f64 2 (*.f64 x x)) 3)
23.0ms	(*.f64 (pow.f64 x 3) 2/3)

simplify114.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4953	3516
1	4953	3516

prune408.0ms (4.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	111	1	112
Fresh	0	2	2
Picked	1	0	1
Done	0	0	0
Total	112	3	115

Error

0.1b

Counts

115 → 3

Compiler

Compiled 5515 to 3878 computations (29.7% saved)

regimes901.0ms (9.3%)

Accuracy

Total 0.6b remaining (58.8%)

Threshold costs 0.6b (58.8%)

Compiler

Compiled 8892 to 7288 computations (18% saved)

bsearch127.0ms (1.3%)

Steps

Iters	Range		Point
10	0.0780187046839398	4233244255814.0234	244.84131261463813

Compiler

Compiled 1 to 2 computations (-100% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	223	217
1	223	217

end0.0ms (0%)

sample5.2s (53.9%)

Algorithm

1×

intervals

Results

1.2s	2018×	body	1024	valid
470.0ms	4297×	body	128	valid
336.0ms	1004×	body	512	valid
196.0ms	203×	body	2048	valid
100.0ms	478×	body	256	valid
25.0ms	215×	body	128	invalid
19.0ms	168×	body	128	overflowed
9.0ms	16×	body	1024	invalid
3.0ms	9×	body	512	invalid
2.0ms	10×	body	256	invalid

Compiler

Compiled 2366 to 1932 computations (18.3% saved)

Details

analyze346.0ms (3.6%)

sample102.0ms (1.1%)

simplify250.0ms (2.6%)

prune9.0ms (0.1%)

localize35.0ms (0.4%)

rewrite129.0ms (1.3%)

series316.0ms (3.3%)

simplify198.0ms (2%)

prune809.0ms (8.3%)

localize11.0ms (0.1%)

rewrite18.0ms (0.2%)

series41.0ms (0.4%)

simplify57.0ms (0.6%)

prune79.0ms (0.8%)

localize16.0ms (0.2%)

rewrite29.0ms (0.3%)

series56.0ms (0.6%)

simplify71.0ms (0.7%)

prune66.0ms (0.7%)

localize24.0ms (0.2%)

rewrite67.0ms (0.7%)

series188.0ms (1.9%)

simplify114.0ms (1.2%)

prune408.0ms (4.2%)

regimes901.0ms (9.3%)

bsearch127.0ms (1.3%)

simplify8.0ms (0.1%)

end0.0ms (0%)

sample5.2s (53.9%)

Profiling