Details

analyze857.0ms (15.4%)

Algorithm

1×

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

sample34.0ms (0.6%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
1.0ms	46×	body	128	invalid

Compiler

Compiled 27 to 19 computations (29.6% saved)

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

14×	`associate-/l*_binary64`
9×	`associate-*r/_binary64`
9×	`associate-/r/_binary64`
7×	`*-commutative_binary64`
6×	`associate-/r*_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	17	10
2	38	10
3	63	10
4	69	10
5	68	10
6	68	10

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

13.1b

Counts

1 → 1

Alt Table

Status	Error	Program
▶	13.1b	(/.f64 (.f64 a1 a2) (.f64 b1 b2))

Compiler

Compiled 22 to 14 computations (36.4% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

12.8b

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

rewrite28.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

13×	`add-cbrt-cube_binary64`
13×	`add-exp-log_binary64`
4×	`cbrt-unprod_binary64`
4×	`cbrt-undiv_binary64`
4×	`div-exp_binary64`

Counts

1 → 21

Calls

1 calls:

6.0ms

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

Compiler

Compiled 295 to 77 computations (73.9% saved)

series41.0ms (0.7%)

Error

13.1b

Counts

1 → 12

Calls

1 calls:

40.0ms

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

Compiler

Compiled 275 to 175 computations (36.4% saved)

simplify84.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

579×	`associate-/r*_binary64`
393×	`associate-l_binary64`
381×	`associate-*l/_binary64`
297×	`associate-*r/_binary64`
271×	`associate-r_binary64`

Counts

33 → 11

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	54	475
1	155	370
2	779	370
3	3457	370
4	3762	370
5	4079	370
6	4763	370
7	5076	370

prune12.0ms (0.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	8	3	11
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	8	4	12

Error

0.1b

Counts

12 → 4

Alt Table

Status	Error	Program
▶	9.7b	(/.f64 (*.f64 a2 (/.f64 a1 b1)) b2)
	9.9b	(/.f64 a1 (/.f64 b1 (/.f64 a2 b2)))
	31.3b	(cbrt.f64 (pow.f64 (/.f64 (.f64 a1 a2) (.f64 b1 b2)) 3))
✓	13.1b	(/.f64 (.f64 a1 a2) (.f64 b1 b2))

Compiler

Compiled 120 to 73 computations (39.2% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

4.6b	(*.f64 a2 (/.f64 a1 b1))
6.8b	(/.f64 (*.f64 a2 (/.f64 a1 b1)) b2)

rewrite61.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

17×	`add-sqr-sqrt_binary64`
16×	`add-cbrt-cube_binary64`
16×	`add-exp-log_binary64`
13×	`associate-r_binary64`
13×	`times-frac_binary64`

Counts

2 → 56

Calls

2 calls:

7.0ms	(*.f64 a2 (/.f64 a1 b1))
6.0ms	(/.f64 (*.f64 a2 (/.f64 a1 b1)) b2)

Compiler

Compiled 740 to 212 computations (71.4% saved)

series62.0ms (1.1%)

Error

0.1b

Counts

2 → 21

Calls

2 calls:

40.0ms	(/.f64 (*.f64 a2 (/.f64 a1 b1)) b2)
21.0ms	(*.f64 a2 (/.f64 a1 b1))

Compiler

Compiled 480 to 303 computations (36.9% saved)

simplify125.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

919×	`times-frac_binary64`
527×	`associate-/l/_binary64`
421×	`associate-l_binary64`
340×	`associate-r_binary64`
297×	`associate-/r/_binary64`

Counts

77 → 39

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	108	929
1	263	800
2	1046	800
3	4040	800
4	4422	800
5	4894	800
6	4918	800
7	5265	800

prune32.0ms (0.6%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	32	7	39
Fresh	0	2	2
Picked	0	1	1
Done	1	0	1
Total	33	10	43

Error

0.0b

Counts

43 → 10

Alt Table

Status	Error	Program
	12.1b	(/.f64 (neg.f64 (/.f64 (*.f64 a1 a2) b1)) (neg.f64 b2))
	11.2b	(/.f64 (.f64 (/.f64 a2 (.f64 (cbrt.f64 b1) (cbrt.f64 b1))) (/.f64 a1 (cbrt.f64 b1))) b2)
✓	9.7b	(/.f64 (*.f64 a2 (/.f64 a1 b1)) b2)
	10.9b	(/.f64 (.f64 (.f64 a2 (*.f64 (cbrt.f64 a1) (cbrt.f64 a1))) (/.f64 (cbrt.f64 a1) b1)) b2)
	20.4b	(/.f64 (*.f64 (/.f64 a1 b1) (/.f64 a2 (sqrt.f64 b2))) (sqrt.f64 b2))
▶	9.9b	(/.f64 a1 (/.f64 b1 (/.f64 a2 b2)))
	12.1b	(/.f64 1 (/.f64 b2 (/.f64 (*.f64 a1 a2) b1)))
	31.3b	(cbrt.f64 (pow.f64 (/.f64 (.f64 a1 a2) (.f64 b1 b2)) 3))
	32.1b	(/.f64 (.f64 (sqrt.f64 (/.f64 (.f64 a1 a2) b1)) (sqrt.f64 (/.f64 (*.f64 a1 a2) b1))) b2)
	11.1b	(.f64 a2 (/.f64 a1 (.f64 b1 b2)))

Compiler

Compiled 588 to 268 computations (54.4% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

4.5b	(/.f64 b1 (/.f64 a2 b2))
5.9b	(/.f64 a1 (/.f64 b1 (/.f64 a2 b2)))

rewrite257.0ms (4.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

471×	`times-frac_binary64`
229×	`*-un-lft-identity_binary64`
229×	`add-sqr-sqrt_binary64`
229×	`add-cube-cbrt_binary64`
57×	`associate-/r*_binary64`

Counts

2 → 266

Calls

2 calls:

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

Compiler

Compiled 5189 to 1256 computations (75.8% saved)

series60.0ms (1.1%)

Error

0.0b

Counts

2 → 21

Calls

2 calls:

36.0ms	(/.f64 a1 (/.f64 b1 (/.f64 a2 b2)))
23.0ms	(/.f64 b1 (/.f64 a2 b2))

Compiler

Compiled 480 to 303 computations (36.9% saved)

simplify363.0ms (6.5%)

Algorithm

1×	egg-herbie

Rules

563×	`associate-/r/_binary64`
414×	`associate-/l/_binary64`
385×	`div-sub_binary64`
381×	`associate-*l/_binary64`
332×	`associate-*r/_binary64`

Counts

287 → 207

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	448	6532
1	986	6310
2	3704	6307
3	3618	6307
4	4154	6307
5	4438	6307
6	4899	6307
7	5311	6307

prune134.0ms (2.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	205	2	207
Fresh	6	2	8
Picked	0	1	1
Done	0	1	1
Total	211	6	217

Error

Counts

217 → 6

Alt Table

Status	Error	Program
	12.1b	(/.f64 (neg.f64 (/.f64 (*.f64 a1 a2) b1)) (neg.f64 b2))
✓	9.7b	(/.f64 (*.f64 a2 (/.f64 a1 b1)) b2)
✓	9.9b	(/.f64 a1 (/.f64 b1 (/.f64 a2 b2)))
▶	11.1b	(.f64 a2 (/.f64 a1 (.f64 b1 b2)))
	13.1b	(/.f64 (*.f64 a1 a2) (/.f64 b1 (/.f64 1 b2)))
	11.2b	(*.f64 (/.f64 a2 b1) (/.f64 a1 b2))

Compiler

Compiled 3107 to 644 computations (79.3% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

5.9b	(.f64 a2 (/.f64 a1 (.f64 b1 b2)))
6.4b	(/.f64 a1 (*.f64 b1 b2))

rewrite45.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

16×	`add-cbrt-cube_binary64`
16×	`add-exp-log_binary64`
9×	`add-sqr-sqrt_binary64`
7×	`associate-r_binary64`
7×	`*-un-lft-identity_binary64`

Counts

2 → 48

Calls

2 calls:

7.0ms	(.f64 a2 (/.f64 a1 (.f64 b1 b2)))
4.0ms	(/.f64 a1 (*.f64 b1 b2))

Compiler

Compiled 606 to 154 computations (74.6% saved)

series62.0ms (1.1%)

Error

Counts

2 → 21

Calls

2 calls:

38.0ms	(.f64 a2 (/.f64 a1 (.f64 b1 b2)))
23.0ms	(/.f64 a1 (*.f64 b1 b2))

Compiler

Compiled 480 to 303 computations (36.9% saved)

simplify117.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

772×	`times-frac_binary64`
466×	`associate-l_binary64`
433×	`associate-*l/_binary64`
425×	`associate-*r/_binary64`
383×	`associate-r_binary64`

Counts

69 → 41

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	80	831
1	192	702
2	739	702
3	3815	702
4	4162	702
5	4668	702
6	4968	702
7	4988	702

prune18.0ms (0.3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	41	0	41
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	41	6	47

Error

Counts

47 → 6

Alt Table

Status	Error	Program
	12.1b	(/.f64 (neg.f64 (/.f64 (*.f64 a1 a2) b1)) (neg.f64 b2))
	9.7b	(/.f64 (*.f64 a2 (/.f64 a1 b1)) b2)
	9.9b	(/.f64 a1 (/.f64 b1 (/.f64 a2 b2)))
	11.1b	(.f64 a2 (/.f64 a1 (.f64 b1 b2)))
	13.1b	(/.f64 (*.f64 a1 a2) (/.f64 b1 (/.f64 1 b2)))
	11.2b	(*.f64 (/.f64 a2 b1) (/.f64 a1 b2))

Compiler

Compiled 297 to 111 computations (62.6% saved)

regimes1.7s (30.8%)

Accuracy

Total 3.2b remaining (99.1%)

Threshold costs 0b (0%)

Compiler

Compiled 11272 to 6605 computations (41.4% saved)

bsearch3.0ms (0%)

Compiler: Compiled 11 to 7 computations (36.4% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64`
1×	`1-exp_binary64`
1×	`if-if-or-not_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	105
1	39	105
2	38	105

end37.0ms (0.7%)

Compiler: Compiled 375 to 150 computations (60% saved)

sample1.4s (24.9%)

Algorithm

1×

intervals

Results

225.0ms	8000×	body	128	valid
48.0ms	1902×	body	128	invalid

Compiler

Compiled 161 to 88 computations (45.3% saved)

Details

analyze857.0ms (15.4%)

sample34.0ms (0.6%)

simplify8.0ms (0.2%)

prune2.0ms (0%)

localize4.0ms (0.1%)

rewrite28.0ms (0.5%)

series41.0ms (0.7%)

simplify84.0ms (1.5%)

prune12.0ms (0.2%)

localize5.0ms (0.1%)

rewrite61.0ms (1.1%)

series62.0ms (1.1%)

simplify125.0ms (2.3%)

prune32.0ms (0.6%)

localize5.0ms (0.1%)

rewrite257.0ms (4.6%)

series60.0ms (1.1%)

simplify363.0ms (6.5%)

prune134.0ms (2.4%)

localize5.0ms (0.1%)

rewrite45.0ms (0.8%)

series62.0ms (1.1%)

simplify117.0ms (2.1%)

prune18.0ms (0.3%)

regimes1.7s (30.8%)

bsearch3.0ms (0%)

simplify5.0ms (0.1%)

end37.0ms (0.7%)

sample1.4s (24.9%)

Profiling