Details

analyze972.0ms (13.2%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	228	70
1	228	70
0	4	4
1	4	4

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
18.7%	81.1%	0.2%	9
21.8%	78%	0.2%	10
25%	74.9%	0.2%	11
34.7%	64.9%	0.4%	12
47.2%	51.9%	0.9%	13
49%	49.2%	1.8%	14

Symmetry

(sort a1 a2)

(sort b1 b2)

Compiler

Compiled 8 to 8 computations (0% saved)

sample36.0ms (0.5%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
2.0ms	56×	body	128	invalid

Compiler

Compiled 15 to 19 computations (-26.7% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	68	10
1	68	10

prune3.0ms (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

Error

11.2b

Counts

2 → 1

Compiler

Compiled 14 to 14 computations (0% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

11.0b

(/.f64 (*.f64 a1 a2) (*.f64 b1 b2))

rewrite34.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

13×	`add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
4×	`prod-exp_binary64_1832` `div-exp_binary64_1834` `cbrt-undiv_binary64_1817` `cbrt-unprod_binary64_1816`
1×	`pow1_binary64_1844` `add-log-exp_binary64_1822` `add-cube-cbrt_binary64_1818` `add-sqr-sqrt_binary64_1805` `frac-2neg_binary64_1794` `times-frac_binary64_1789` `-un-lft-identity_binary64_1783` `clear-num_binary64_1782` `div-inv_binary64_1780` `associate-/l_binary64_1728` `associate-/r*_binary64_1727`

Counts

1 → 21

Calls

1 calls:

6.0ms

(/.f64 (*.f64 a1 a2) (*.f64 b1 b2))

Compiler

Compiled 291 to 77 computations (73.5% saved)

series199.0ms (2.7%)

Error

11.2b

Counts

1 → 12

Calls

1 calls:

194.0ms

(/.f64 (*.f64 a1 a2) (*.f64 b1 b2))

Compiler

Compiled 252 to 175 computations (30.6% saved)

simplify75.0ms (1%)

Algorithm

1×	egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	5076	370

prune28.0ms (0.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	27	6	33
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	27	7	34

Error

0.0b

Counts

34 → 7

Compiler

Compiled 370 to 100 computations (73% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

4.7b	(/.f64 b1 (/.f64 a2 b2))
5.9b	(/.f64 a1 (/.f64 b1 (/.f64 a2 b2)))

rewrite278.0ms (3.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

471×	`times-frac_binary64_1789`
229×	`add-cube-cbrt_binary64_1818` `add-sqr-sqrt_binary64_1805` `*-un-lft-identity_binary64_1783`
57×	`associate-/r*_binary64_1727`
22×	`div-inv_binary64_1780`
16×	`add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
9×	`div-exp_binary64_1834` `cbrt-undiv_binary64_1817`
6×	`associate-/r/_binary64_1729` `associate-/l*_binary64_1728`
2×	`pow1_binary64_1844` `add-log-exp_binary64_1822` `frac-2neg_binary64_1794` `clear-num_binary64_1782`

Counts

2 → 266

Calls

2 calls:

15.0ms	(/.f64 a1 (/.f64 b1 (/.f64 a2 b2)))
6.0ms	(/.f64 b1 (/.f64 a2 b2))

Compiler

Compiled 5203 to 1261 computations (75.8% saved)

series302.0ms (4.1%)

Error

0.0b

Counts

2 → 21

Calls

2 calls:

194.0ms	(/.f64 a1 (/.f64 b1 (/.f64 a2 b2)))
100.0ms	(/.f64 b1 (/.f64 a2 b2))

Compiler

Compiled 441 to 303 computations (31.3% saved)

simplify132.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

287 → 287

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4977	6307
1	4977	6307

prune201.0ms (2.7%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	281	6	287
Fresh	3	2	5
Picked	1	0	1
Done	1	0	1
Total	286	8	294

Error

Counts

294 → 8

Compiler

Compiled 4881 to 824 computations (83.1% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

5.1b	(/.f64 (*.f64 b1 b2) a2)
5.9b	(/.f64 a1 (/.f64 (*.f64 b1 b2) a2))

rewrite310.0ms (4.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

36×	`times-frac_binary64_1789`
20×	`add-cube-cbrt_binary64_1818` `add-sqr-sqrt_binary64_1805` `*-un-lft-identity_binary64_1783`
16×	`add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
10×	`associate-/r*_binary64_1727`
7×	`div-exp_binary64_1834` `cbrt-undiv_binary64_1817`
6×	`div-inv_binary64_1780`
4×	`associate-/l*_binary64_1728`
2×	`pow1_binary64_1844` `prod-exp_binary64_1832` `add-log-exp_binary64_1822` `cbrt-unprod_binary64_1816` `frac-2neg_binary64_1794` `clear-num_binary64_1782`
1×	`associate-/r/_binary64_1729`

Counts

2 → 69

Calls

2 calls:

6.0ms	(/.f64 a1 (/.f64 (*.f64 b1 b2) a2))
4.0ms	(/.f64 (*.f64 b1 b2) a2)

Compiler

Compiled 979 to 248 computations (74.7% saved)

series280.0ms (3.8%)

Error

Counts

2 → 21

Calls

2 calls:

182.0ms	(/.f64 a1 (/.f64 (*.f64 b1 b2) a2))
89.0ms	(/.f64 (*.f64 b1 b2) a2)

Compiler

Compiled 441 to 303 computations (31.3% saved)

simplify67.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4986	1179
1	4986	1179

prune49.0ms (0.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	89	1	90
Fresh	1	6	7
Picked	0	1	1
Done	0	0	0
Total	90	8	98

Error

Counts

98 → 8

Compiler

Compiled 1054 to 245 computations (76.8% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

10.2b

(*.f64 (/.f64 a1 b1) (/.f64 a2 b2))

rewrite44.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

27×	`add-sqr-sqrt_binary64_1805`
22×	`times-frac_binary64_1789`
15×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
13×	`add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819` `associate-l_binary64_1724` `associate-r_binary64_1723`
4×	`div-exp_binary64_1834` `prod-exp_binary64_1832` `cbrt-unprod_binary64_1816` `cbrt-undiv_binary64_1817` `unswap-sqr_binary64_1751`
3×	`pow1_binary64_1844`
2×	`div-inv_binary64_1780`
1×	`pow-prod-down_binary64_1854` `add-log-exp_binary64_1822` `frac-times_binary64_1793` `associate-l/_binary64_1726` `associate-r/_binary64_1725` `*-commutative_binary64_1714`

Counts

1 → 50

Calls

1 calls:

12.0ms

(*.f64 (/.f64 a1 b1) (/.f64 a2 b2))

Compiler

Compiled 744 to 196 computations (73.7% saved)

series192.0ms (2.6%)

Error

Counts

1 → 12

Calls

1 calls:

187.0ms

(*.f64 (/.f64 a1 b1) (/.f64 a2 b2))

Compiler

Compiled 252 to 175 computations (30.6% saved)

simplify93.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	4985	803
1	4985	803

prune32.0ms (0.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	61	1	62
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	62	8	70

Error

Counts

70 → 8

Compiler

Compiled 734 to 152 computations (79.3% saved)

regimes1.4s (19.6%)

Accuracy

Total 3.7b remaining (100%)

Threshold costs 0b (0%)

Compiler

Compiled 12218 to 8756 computations (28.3% saved)

bsearch4.0ms (0.1%)

Compiler: Compiled 7 to 7 computations (0% saved)

simplify39.0ms (0.5%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	40	132
1	40	132

Compiler

Compiled 332 to 132 computations (60.2% saved)

end0.0ms (0%)

sample2.5s (34.1%)

Algorithm

1×

intervals

Results

239.0ms	8000×	body	128	valid
59.0ms	1739×	body	128	invalid

Compiler

Compiled 1765 to 1241 computations (29.7% saved)

Details

analyze972.0ms (13.2%)

sample36.0ms (0.5%)

simplify8.0ms (0.1%)

prune3.0ms (0%)

localize6.0ms (0.1%)

rewrite34.0ms (0.5%)

series199.0ms (2.7%)

simplify75.0ms (1%)

prune28.0ms (0.4%)

localize5.0ms (0.1%)

rewrite278.0ms (3.8%)

series302.0ms (4.1%)

simplify132.0ms (1.8%)

prune201.0ms (2.7%)

localize5.0ms (0.1%)

rewrite310.0ms (4.2%)

series280.0ms (3.8%)

simplify67.0ms (0.9%)

prune49.0ms (0.7%)

localize6.0ms (0.1%)

rewrite44.0ms (0.6%)

series192.0ms (2.6%)

simplify93.0ms (1.3%)

prune32.0ms (0.4%)

regimes1.4s (19.6%)

bsearch4.0ms (0.1%)

simplify39.0ms (0.5%)

end0.0ms (0%)

sample2.5s (34.1%)

Profiling