Details

analyze7.0ms (0.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
75%	25%	0%	4
75%	12.5%	12.5%	5
75%	6.2%	18.8%	6
75%	3.1%	21.9%	7
75%	1.6%	23.5%	8
75%	0.8%	24.3%	9
75%	0.4%	24.6%	10
75%	0.2%	24.8%	11
75%	0.1%	24.9%	12
75%	0%	24.9%	13
75%	0%	25%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample20.0ms (0.6%)

Algorithm

1×

intervals

Results

11.0ms

256×

body

128

valid

Compiler

Compiled 19 to 18 computations (5.3% saved)

simplify183.0ms (5.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	289	13
1	289	13

prune4.0ms (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: 0.1b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize12.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992))
0.1b	(.f64 x (+.f64 2278821411449471/9007199254740992 (.f64 x 1080863910568919/9007199254740992)))

rewrite22.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64_2146`
4×	`pow1_binary64_2185` `add-log-exp_binary64_2163` `add-cube-cbrt_binary64_2159` `add-exp-log_binary64_2162` `*-un-lft-identity_binary64_2124` `add-cbrt-cube_binary64_2160`
3×	`associate-l_binary64_2065` `associate-r_binary64_2064`
2×	`associate-*r/_binary64_2066` `flip3-+_binary64_2127` `flip-+_binary64_2098`
1×	`pow-prod-down_binary64_2195` `unswap-sqr_binary64_2092` `sum-log_binary64_2215` `*-commutative_binary64_2055` `prod-exp_binary64_2173` `+-commutative_binary64_2054` `distribute-rgt-in_binary64_2074` `distribute-lft-in_binary64_2073` `cbrt-unprod_binary64_2157`

Counts

2 → 33

Calls

2 calls:

12.0ms	(.f64 x (+.f64 2278821411449471/9007199254740992 (.f64 x 1080863910568919/9007199254740992)))
6.0ms	(+.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992))

series116.0ms (3.4%)

Counts

2 → 6

Calls

2 calls:

75.0ms	(.f64 x (+.f64 2278821411449471/9007199254740992 (.f64 x 1080863910568919/9007199254740992)))
41.0ms	(+.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992))

simplify162.0ms (4.7%)

Algorithm

1×	egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (141.0ms)

Iter	Nodes	Cost
0	4870	455
1	4870	455

prune94.0ms (2.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	33	6	39
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	34	6	40

Merged error: 0b

Counts

40 → 6

Compiler

Compiled 640 to 513 computations (19.8% saved)

localize16.0ms (0.5%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 x 2278821411449471/9007199254740992) (.f64 x (*.f64 x 1080863910568919/9007199254740992)))
0.2b	(.f64 x (.f64 x 1080863910568919/9007199254740992))

rewrite22.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`pow1_binary64_2185` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
4×	`add-log-exp_binary64_2163`
3×	`pow-prod-down_binary64_2195` `add-cube-cbrt_binary64_2159` `associate-l_binary64_2065` `prod-exp_binary64_2173` `add-sqr-sqrt_binary64_2146` `*-un-lft-identity_binary64_2124` `cbrt-unprod_binary64_2157`
1×	`sum-log_binary64_2215` `-commutative_binary64_2055` `distribute-lft-out_binary64_2075` `+-commutative_binary64_2054` `flip3-+_binary64_2127` `associate-r*_binary64_2064` `flip-+_binary64_2098`

Counts

2 → 30

Calls

2 calls:

10.0ms	(.f64 x (.f64 x 1080863910568919/9007199254740992))
8.0ms	(+.f64 (.f64 x 2278821411449471/9007199254740992) (.f64 x (*.f64 x 1080863910568919/9007199254740992)))

series113.0ms (3.3%)

Counts

2 → 6

Calls

2 calls:

81.0ms	(+.f64 (.f64 x 2278821411449471/9007199254740992) (.f64 x (*.f64 x 1080863910568919/9007199254740992)))
32.0ms	(.f64 x (.f64 x 1080863910568919/9007199254740992))

simplify125.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (102.0ms)

Iter	Nodes	Cost
0	5363	375

prune67.0ms (1.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	34	2	36
Fresh	3	2	5
Picked	0	1	1
Done	0	0	0
Total	37	5	42

Merged error: 0b

Counts

42 → 5

Compiler

Compiled 571 to 443 computations (22.4% saved)

localize14.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 x 2278821411449471/9007199254740992) (.f64 (*.f64 x x) 1080863910568919/9007199254740992))
0.2b	(.f64 (.f64 x x) 1080863910568919/9007199254740992)

rewrite23.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`pow1_binary64_2185` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
4×	`add-log-exp_binary64_2163` `add-sqr-sqrt_binary64_2146`
3×	`pow-prod-down_binary64_2195` `add-cube-cbrt_binary64_2159` `prod-exp_binary64_2173` `associate-r_binary64_2064` `*-un-lft-identity_binary64_2124` `cbrt-unprod_binary64_2157`
1×	`unswap-sqr_binary64_2092` `sum-log_binary64_2215` `-commutative_binary64_2055` `associate-l*_binary64_2065` `+-commutative_binary64_2054` `flip3-+_binary64_2127` `flip-+_binary64_2098`

Counts

2 → 30

Calls

2 calls:

11.0ms	(.f64 (.f64 x x) 1080863910568919/9007199254740992)
8.0ms	(+.f64 (.f64 x 2278821411449471/9007199254740992) (.f64 (*.f64 x x) 1080863910568919/9007199254740992))

series114.0ms (3.3%)

Counts

2 → 6

Calls

2 calls:

77.0ms	(+.f64 (.f64 x 2278821411449471/9007199254740992) (.f64 (*.f64 x x) 1080863910568919/9007199254740992))
37.0ms	(.f64 (.f64 x x) 1080863910568919/9007199254740992)

simplify140.0ms (4.1%)

Algorithm

1×	egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (120.0ms)

Iter	Nodes	Cost
0	4904	384
1	4904	384

prune65.0ms (1.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	35	1	36
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	36	5	41

Merged error: 0b

Counts

41 → 5

Compiler

Compiled 551 to 407 computations (26.1% saved)

localize17.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 x 2278821411449471/9007199254740992) (.f64 (.f64 x (sqrt.f64 1080863910568919/9007199254740992)) (.f64 x (sqrt.f64 1080863910568919/9007199254740992))))
0.2b	(*.f64 x (sqrt.f64 1080863910568919/9007199254740992))
0.2b	(*.f64 x (sqrt.f64 1080863910568919/9007199254740992))
0.4b	(.f64 (.f64 x (sqrt.f64 1080863910568919/9007199254740992)) (*.f64 x (sqrt.f64 1080863910568919/9007199254740992)))

rewrite59.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

47×	`pow1_binary64_2185`
20×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
19×	`pow-prod-down_binary64_2195`
18×	`add-sqr-sqrt_binary64_2146`
13×	`associate-r_binary64_2064`
10×	`add-cube-cbrt_binary64_2159` `prod-exp_binary64_2173` `*-un-lft-identity_binary64_2124` `cbrt-unprod_binary64_2157`
8×	`sqrt-prod_binary64_2140`
7×	`associate-l_binary64_2065`
6×	`add-log-exp_binary64_2163`
4×	`unswap-sqr_binary64_2092` `pow-prod-up_binary64_2194` `pow-sqr_binary64_2097`
3×	`*-commutative_binary64_2055`
2×	`pow-plus_binary64_2187`
1×	`sum-log_binary64_2215` `swap-sqr_binary64_2091` `+-commutative_binary64_2054` `pow2_binary64_2205` `flip3-+_binary64_2127` `flip-+_binary64_2098`

Counts

4 → 89

Calls

4 calls:

17.0ms	(.f64 (.f64 x (sqrt.f64 1080863910568919/9007199254740992)) (*.f64 x (sqrt.f64 1080863910568919/9007199254740992)))
11.0ms	(*.f64 x (sqrt.f64 1080863910568919/9007199254740992))
10.0ms	(*.f64 x (sqrt.f64 1080863910568919/9007199254740992))
9.0ms	(+.f64 (.f64 x 2278821411449471/9007199254740992) (.f64 (.f64 x (sqrt.f64 1080863910568919/9007199254740992)) (.f64 x (sqrt.f64 1080863910568919/9007199254740992))))

series303.0ms (8.8%)

Counts

4 → 12

Calls

4 calls:

124.0ms	(+.f64 (.f64 x 2278821411449471/9007199254740992) (.f64 (.f64 x (sqrt.f64 1080863910568919/9007199254740992)) (.f64 x (sqrt.f64 1080863910568919/9007199254740992))))
82.0ms	(.f64 (.f64 x (sqrt.f64 1080863910568919/9007199254740992)) (*.f64 x (sqrt.f64 1080863910568919/9007199254740992)))
53.0ms	(*.f64 x (sqrt.f64 1080863910568919/9007199254740992))
44.0ms	(*.f64 x (sqrt.f64 1080863910568919/9007199254740992))

simplify173.0ms (5%)

Algorithm

1×	egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (142.0ms)

Iter	Nodes	Cost
0	5172	838

prune178.0ms (5.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	101	0	101
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	101	5	106

Merged error: 0b

Counts

106 → 5

Compiler

Compiled 1638 to 1310 computations (20% saved)

regimes183.0ms (5.3%)

Compiler: Compiled 988 to 834 computations (15.6% saved)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	64	13
1	64	13

end0.0ms (0%)

sample1.2s (34.9%)

Algorithm

1×

intervals

Results

356.0ms	8000×	body	128	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 337 to 286 computations (15.1% saved)

Details

analyze7.0ms (0.2%)

sample20.0ms (0.6%)

simplify183.0ms (5.3%)

prune4.0ms (0.1%)

localize12.0ms (0.3%)

rewrite22.0ms (0.6%)

series116.0ms (3.4%)

simplify162.0ms (4.7%)

prune94.0ms (2.7%)

localize16.0ms (0.5%)

rewrite22.0ms (0.6%)

series113.0ms (3.3%)

simplify125.0ms (3.6%)

prune67.0ms (1.9%)

localize14.0ms (0.4%)

rewrite23.0ms (0.7%)

series114.0ms (3.3%)

simplify140.0ms (4.1%)

prune65.0ms (1.9%)

localize17.0ms (0.5%)

rewrite59.0ms (1.7%)

series303.0ms (8.8%)

simplify173.0ms (5%)

prune178.0ms (5.2%)

regimes183.0ms (5.3%)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample1.2s (34.9%)

Profiling