Details

analyze3.0ms (0.1%)

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)

sample12.0ms (0.3%)

Algorithm

1×

intervals

Results

6.0ms

256×

body

128

valid

Compiler

Compiled 19 to 18 computations (5.3% saved)

simplify116.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (12.0ms)

Iter	Nodes	Cost
0	289	13
1	289	13

prune2.0ms (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

Error

0.1b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize7.0ms (0.2%)

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)))

rewrite55.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

6×	`add-sqr-sqrt_binary64_2487`
4×	`pow1_binary64_2526` `add-exp-log_binary64_2503` `add-log-exp_binary64_2504` `add-cbrt-cube_binary64_2501` `add-cube-cbrt_binary64_2500` `*-un-lft-identity_binary64_2465`
3×	`associate-l_binary64_2406` `associate-r_binary64_2405`
2×	`flip3-+_binary64_2468` `associate-*r/_binary64_2407` `flip-+_binary64_2439`
1×	`pow-prod-down_binary64_2536` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498` `unswap-sqr_binary64_2433` `distribute-rgt-in_binary64_2415` `distribute-lft-in_binary64_2414` `*-commutative_binary64_2396` `sum-log_binary64_2556` `+-commutative_binary64_2395`

Counts

2 → 33

Calls

2 calls:

10.0ms	(.f64 x (+.f64 2278821411449471/9007199254740992 (.f64 x 1080863910568919/9007199254740992)))
3.0ms	(+.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992))

Compiler

Compiled 542 to 433 computations (20.1% saved)

series115.0ms (3.1%)

Error

0.1b

Counts

2 → 12

Calls

2 calls:

65.0ms	(.f64 x (+.f64 2278821411449471/9007199254740992 (.f64 x 1080863910568919/9007199254740992)))
37.0ms	(+.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992))

Compiler

Compiled 256 to 223 computations (12.9% saved)

simplify88.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	4870	482
1	4870	482

prune64.0ms (1.8%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	37	8	45
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	37	9	46

Error

Counts

46 → 9

Compiler

Compiled 722 to 571 computations (20.9% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 x (.f64 x 1168266793170336129950248828561/81129638414606681695789005144064))
0.1b	(.f64 x (/.f64 (-.f64 5193027025280559198049186179841/81129638414606681695789005144064 (.f64 x (.f64 x 1168266793170336129950248828561/81129638414606681695789005144064))) (-.f64 2278821411449471/9007199254740992 (.f64 x 1080863910568919/9007199254740992))))
0.2b	(/.f64 (-.f64 5193027025280559198049186179841/81129638414606681695789005144064 (.f64 x (.f64 x 1168266793170336129950248828561/81129638414606681695789005144064))) (-.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992)))
0.3b	(*.f64 x 1168266793170336129950248828561/81129638414606681695789005144064)

rewrite208.0ms (5.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

30×	`add-sqr-sqrt_binary64_2487`
23×	`add-cube-cbrt_binary64_2500` `*-un-lft-identity_binary64_2465`
19×	`associate-r_binary64_2405` `times-frac_binary64_2471`
18×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
13×	`pow1_binary64_2526`
9×	`associate-l_binary64_2406`
6×	`prod-exp_binary64_2514` `cbrt-unprod_binary64_2498`
5×	`pow-prod-down_binary64_2536`
4×	`add-log-exp_binary64_2504` `associate-/r/_binary64_2411`
3×	`unswap-sqr_binary64_2433` `-commutative_binary64_2396` `flip3--_binary64_2469` `flip--_binary64_2440` `associate-/l_binary64_2410` `associate-/r*_binary64_2409`
2×	`div-exp_binary64_2516` `cbrt-undiv_binary64_2499` `div-inv_binary64_2462` `associate-/l/_binary64_2412`
1×	`frac-2neg_binary64_2476` `div-sub_binary64_2470` `clear-num_binary64_2464` `associate-*r/_binary64_2407`

Counts

4 → 102

Calls

4 calls:

15.0ms	(.f64 x (/.f64 (-.f64 5193027025280559198049186179841/81129638414606681695789005144064 (.f64 x (.f64 x 1168266793170336129950248828561/81129638414606681695789005144064))) (-.f64 2278821411449471/9007199254740992 (.f64 x 1080863910568919/9007199254740992))))
7.0ms	(/.f64 (-.f64 5193027025280559198049186179841/81129638414606681695789005144064 (.f64 x (.f64 x 1168266793170336129950248828561/81129638414606681695789005144064))) (-.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992)))
5.0ms	(.f64 x (.f64 x 1168266793170336129950248828561/81129638414606681695789005144064))
4.0ms	(*.f64 x 1168266793170336129950248828561/81129638414606681695789005144064)

Compiler

Compiled 2817 to 2180 computations (22.6% saved)

series234.0ms (6.4%)

Error

Counts

4 → 18

Calls

4 calls:

89.0ms	(/.f64 (-.f64 5193027025280559198049186179841/81129638414606681695789005144064 (.f64 x (.f64 x 1168266793170336129950248828561/81129638414606681695789005144064))) (-.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992)))
89.0ms	(.f64 x (/.f64 (-.f64 5193027025280559198049186179841/81129638414606681695789005144064 (.f64 x (.f64 x 1168266793170336129950248828561/81129638414606681695789005144064))) (-.f64 2278821411449471/9007199254740992 (.f64 x 1080863910568919/9007199254740992))))
24.0ms	(.f64 x (.f64 x 1168266793170336129950248828561/81129638414606681695789005144064))
19.0ms	(*.f64 x 1168266793170336129950248828561/81129638414606681695789005144064)

Compiler

Compiled 562 to 478 computations (14.9% saved)

simplify87.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4926	2104
1	4926	2104

prune194.0ms (5.3%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	119	1	120
Fresh	1	6	7
Picked	0	1	1
Done	0	1	1
Total	120	9	129

Error

Counts

129 → 9

Compiler

Compiled 2850 to 2142 computations (24.8% saved)

localize13.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

rewrite41.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

7×	`pow1_binary64_2526` `add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
4×	`add-log-exp_binary64_2504` `add-sqr-sqrt_binary64_2487`
3×	`pow-prod-down_binary64_2536` `prod-exp_binary64_2514` `add-cube-cbrt_binary64_2500` `cbrt-unprod_binary64_2498` `-un-lft-identity_binary64_2465` `associate-l*_binary64_2406`
1×	`unswap-sqr_binary64_2433` `associate-r_binary64_2405` `*-commutative_binary64_2396` `sum-log_binary64_2556` `flip3-+_binary64_2468` `flip-+_binary64_2439` `+-commutative_binary64_2395`

Counts

2 → 30

Calls

2 calls:

6.0ms	(.f64 1080863910568919/9007199254740992 (.f64 x x))
4.0ms	(+.f64 (.f64 2278821411449471/9007199254740992 x) (.f64 1080863910568919/9007199254740992 (*.f64 x x)))

Compiler

Compiled 549 to 366 computations (33.3% saved)

series99.0ms (2.7%)

Error

Counts

2 → 9

Calls

2 calls:

61.0ms	(+.f64 (.f64 2278821411449471/9007199254740992 x) (.f64 1080863910568919/9007199254740992 (*.f64 x x)))
27.0ms	(.f64 1080863910568919/9007199254740992 (.f64 x x))

Compiler

Compiled 236 to 210 computations (11% saved)

simplify74.0ms (2%)

Algorithm

1×	egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4920	400
1	4920	400

prune51.0ms (1.4%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	37	2	39
Fresh	3	3	6
Picked	0	1	1
Done	0	2	2
Total	40	8	48

Error

Counts

48 → 8

Compiler

Compiled 617 to 452 computations (26.7% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 2278821411449471/9007199254740992 x) (.f64 (sqrt.f64 1080863910568919/9007199254740992) (.f64 x (.f64 x (sqrt.f64 1080863910568919/9007199254740992)))))
0.2b	(*.f64 x (sqrt.f64 1080863910568919/9007199254740992))
0.2b	(.f64 x (.f64 x (sqrt.f64 1080863910568919/9007199254740992)))
0.3b	(.f64 (sqrt.f64 1080863910568919/9007199254740992) (.f64 x (*.f64 x (sqrt.f64 1080863910568919/9007199254740992))))

rewrite157.0ms (4.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

20×	`pow1_binary64_2526` `add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
14×	`add-sqr-sqrt_binary64_2487`
12×	`associate-l_binary64_2406`
10×	`pow-prod-down_binary64_2536` `prod-exp_binary64_2514` `add-cube-cbrt_binary64_2500` `cbrt-unprod_binary64_2498` `*-un-lft-identity_binary64_2465`
8×	`associate-r_binary64_2405`
7×	`sqrt-prod_binary64_2481`
6×	`add-log-exp_binary64_2504`
3×	`*-commutative_binary64_2396`
2×	`unswap-sqr_binary64_2433`
1×	`sum-log_binary64_2556` `flip3-+_binary64_2468` `flip-+_binary64_2439` `+-commutative_binary64_2395`

Counts

4 → 75

Calls

4 calls:

10.0ms	(.f64 (sqrt.f64 1080863910568919/9007199254740992) (.f64 x (*.f64 x (sqrt.f64 1080863910568919/9007199254740992))))
6.0ms	(.f64 x (.f64 x (sqrt.f64 1080863910568919/9007199254740992)))
5.0ms	(*.f64 x (sqrt.f64 1080863910568919/9007199254740992))
4.0ms	(+.f64 (.f64 2278821411449471/9007199254740992 x) (.f64 (sqrt.f64 1080863910568919/9007199254740992) (.f64 x (.f64 x (sqrt.f64 1080863910568919/9007199254740992)))))

Compiler

Compiled 1684 to 1343 computations (20.2% saved)

series265.0ms (7.3%)

Error

Counts

4 → 15

Calls

4 calls:

89.0ms	(+.f64 (.f64 2278821411449471/9007199254740992 x) (.f64 (sqrt.f64 1080863910568919/9007199254740992) (.f64 x (.f64 x (sqrt.f64 1080863910568919/9007199254740992)))))
66.0ms	(.f64 (sqrt.f64 1080863910568919/9007199254740992) (.f64 x (*.f64 x (sqrt.f64 1080863910568919/9007199254740992))))
49.0ms	(.f64 x (.f64 x (sqrt.f64 1080863910568919/9007199254740992)))
43.0ms	(*.f64 x (sqrt.f64 1080863910568919/9007199254740992))

Compiler

Compiled 572 to 513 computations (10.3% saved)

simplify105.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	4940	883
1	4940	883

prune90.0ms (2.5%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	90	8	98

Error

Counts

98 → 8

Compiler

Compiled 1483 to 1147 computations (22.7% saved)

regimes258.0ms (7.1%)

Accuracy

Total 0.1b remaining (98.1%)

Threshold costs 0.1b (98.1%)

Compiler

Compiled 1974 to 1662 computations (15.8% saved)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	76	16
1	76	16

end0.0ms (0%)

sample1.3s (35.4%)

Algorithm

1×

intervals

Results

250.0ms	8000×	body	128	valid
0.0ms	7×	body	128	invalid

Compiler

Compiled 632 to 533 computations (15.7% saved)

Details

analyze3.0ms (0.1%)

sample12.0ms (0.3%)

simplify116.0ms (3.2%)

prune2.0ms (0.1%)

localize7.0ms (0.2%)

rewrite55.0ms (1.5%)

series115.0ms (3.1%)

simplify88.0ms (2.4%)

prune64.0ms (1.8%)

localize11.0ms (0.3%)

rewrite208.0ms (5.7%)

series234.0ms (6.4%)

simplify87.0ms (2.4%)

prune194.0ms (5.3%)

localize13.0ms (0.3%)

rewrite41.0ms (1.1%)

series99.0ms (2.7%)

simplify74.0ms (2%)

prune51.0ms (1.4%)

localize9.0ms (0.2%)

rewrite157.0ms (4.3%)

series265.0ms (7.3%)

simplify105.0ms (2.9%)

prune90.0ms (2.5%)

regimes258.0ms (7.1%)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample1.3s (35.4%)

Profiling