Details

analyze4.0ms (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 (0.4%)

Algorithm

1×

intervals

Results

6.0ms

256×

body

128

valid

Compiler

Compiled 19 to 18 computations (5.3% saved)

simplify109.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (12.0ms)

Iter	Nodes	Cost
0	289	13
1	289	13

prune6.0ms (0.2%)

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)

localize6.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite12.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

2 → 33

Calls

4 calls:

7.0ms	(.f64 x (+.f64 2278821411449471/9007199254740992 (.f64 x 1080863910568919/9007199254740992)))
3.0ms	(+.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992))
0.0ms	(+.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992))
0.0ms	(.f64 x (+.f64 2278821411449471/9007199254740992 (.f64 x 1080863910568919/9007199254740992)))

series74.0ms (2.3%)

Counts

2 → 12

Calls

2 calls:

47.0ms	(.f64 x (+.f64 2278821411449471/9007199254740992 (.f64 x 1080863910568919/9007199254740992)))
26.0ms	(+.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992))

Compiler

Compiled 158 to 144 computations (8.9% saved)

simplify83.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4870	482
1	4870	482

prune65.0ms (2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	40	5	45
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	40	6	46

Error

0.0b

Counts

46 → 6

Compiler

Compiled 660 to 526 computations (20.3% saved)

localize11.0ms (0.4%)

Local error

Found 8 expressions with local error:

0.2b	(.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))))
0.0b	(-.f64 5193027025280559198049186179841/81129638414606681695789005144064 (.f64 x (.f64 x 1168266793170336129950248828561/81129638414606681695789005144064)))
0.0b	(-.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992))
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)))
0.2b	(.f64 x (.f64 x 1168266793170336129950248828561/81129638414606681695789005144064))
0.3b	(*.f64 x 1168266793170336129950248828561/81129638414606681695789005144064)

rewrite38.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`add-sqr-sqrt_binary64_2487`
23×	`*-un-lft-identity_binary64_2465` `add-cube-cbrt_binary64_2500`
19×	`times-frac_binary64_2471` `associate-r_binary64_2405`
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×	`-commutative_binary64_2396` `associate-/r_binary64_2409` `flip--_binary64_2440` `unswap-sqr_binary64_2433` `flip3--_binary64_2469` `associate-/l*_binary64_2410`
2×	`associate-/l/_binary64_2412` `cbrt-undiv_binary64_2499` `div-exp_binary64_2516` `div-inv_binary64_2462`
1×	`associate-*r/_binary64_2407` `clear-num_binary64_2464` `div-sub_binary64_2470` `frac-2neg_binary64_2476`

Counts

4 → 102

Calls

8 calls:

11.0ms	(.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)
0.0ms	(-.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992))

series206.0ms (6.3%)

Counts

4 → 18

Calls

4 calls:

97.0ms	(.f64 x (/.f64 (-.f64 5193027025280559198049186179841/81129638414606681695789005144064 (.f64 x (.f64 x 1168266793170336129950248828561/81129638414606681695789005144064))) (-.f64 2278821411449471/9007199254740992 (.f64 x 1080863910568919/9007199254740992))))
65.0ms	(/.f64 (-.f64 5193027025280559198049186179841/81129638414606681695789005144064 (.f64 x (.f64 x 1168266793170336129950248828561/81129638414606681695789005144064))) (-.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992)))
28.0ms	(.f64 x (.f64 x 1168266793170336129950248828561/81129638414606681695789005144064))
16.0ms	(*.f64 x 1168266793170336129950248828561/81129638414606681695789005144064)

Compiler

Compiled 362 to 318 computations (12.2% saved)

simplify77.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4926	2104
1	4926	2104

prune174.0ms (5.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	117	3	120
Fresh	2	2	4
Picked	1	0	1
Done	0	1	1
Total	120	6	126

Error

Counts

126 → 6

Compiler

Compiled 2845 to 2225 computations (21.8% saved)

localize12.0ms (0.4%)

Local error

Found 8 expressions with local error:

0.1b	(/.f64 1 (/.f64 (-.f64 2278821411449471/9007199254740992 (.f64 x 1080863910568919/9007199254740992)) (-.f64 5193027025280559198049186179841/81129638414606681695789005144064 (.f64 x (*.f64 x 1168266793170336129950248828561/81129638414606681695789005144064)))))
0.1b	(.f64 x (/.f64 1 (/.f64 (-.f64 2278821411449471/9007199254740992 (.f64 x 1080863910568919/9007199254740992)) (-.f64 5193027025280559198049186179841/81129638414606681695789005144064 (.f64 x (.f64 x 1168266793170336129950248828561/81129638414606681695789005144064))))))
0.0b	(-.f64 5193027025280559198049186179841/81129638414606681695789005144064 (.f64 x (.f64 x 1168266793170336129950248828561/81129638414606681695789005144064)))
0.0b	(-.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992))
0.1b	(/.f64 1 (/.f64 (-.f64 2278821411449471/9007199254740992 (.f64 x 1080863910568919/9007199254740992)) (-.f64 5193027025280559198049186179841/81129638414606681695789005144064 (.f64 x (*.f64 x 1168266793170336129950248828561/81129638414606681695789005144064)))))
0.2b	(.f64 x (.f64 x 1168266793170336129950248828561/81129638414606681695789005144064))
0.3b	(*.f64 x 1168266793170336129950248828561/81129638414606681695789005144064)
0.8b	(/.f64 (-.f64 2278821411449471/9007199254740992 (.f64 x 1080863910568919/9007199254740992)) (-.f64 5193027025280559198049186179841/81129638414606681695789005144064 (.f64 x (*.f64 x 1168266793170336129950248828561/81129638414606681695789005144064))))

rewrite42.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

90×	`times-frac_binary64_2471`
61×	`add-sqr-sqrt_binary64_2487`
59×	`*-un-lft-identity_binary64_2465` `add-cube-cbrt_binary64_2500`
24×	`add-exp-log_binary64_2503`
18×	`associate-/r*_binary64_2409` `add-cbrt-cube_binary64_2501`
12×	`pow1_binary64_2526`
11×	`associate-/r/_binary64_2411`
8×	`div-exp_binary64_2516`
6×	`flip--_binary64_2440` `div-inv_binary64_2462` `flip3--_binary64_2469` `associate-/l_binary64_2410` `associate-l*_binary64_2406`
4×	`add-log-exp_binary64_2504` `cbrt-undiv_binary64_2499` `prod-exp_binary64_2514` `associate-r_binary64_2405` `pow-prod-down_binary64_2536` `cbrt-unprod_binary64_2498`
2×	`*-commutative_binary64_2396` `associate-/l/_binary64_2412` `rec-exp_binary64_2515` `clear-num_binary64_2464` `frac-2neg_binary64_2476` `1-exp_binary64_2509`
1×	`inv-pow_binary64_2550` `pow-flip_binary64_2539` `div-sub_binary64_2470` `unswap-sqr_binary64_2433`

Counts

4 → 152

Calls

8 calls:

9.0ms	(/.f64 1 (/.f64 (-.f64 2278821411449471/9007199254740992 (.f64 x 1080863910568919/9007199254740992)) (-.f64 5193027025280559198049186179841/81129638414606681695789005144064 (.f64 x (*.f64 x 1168266793170336129950248828561/81129638414606681695789005144064)))))
7.0ms	(/.f64 (-.f64 2278821411449471/9007199254740992 (.f64 x 1080863910568919/9007199254740992)) (-.f64 5193027025280559198049186179841/81129638414606681695789005144064 (.f64 x (*.f64 x 1168266793170336129950248828561/81129638414606681695789005144064))))
5.0ms	(.f64 x (.f64 x 1168266793170336129950248828561/81129638414606681695789005144064))
4.0ms	(*.f64 x 1168266793170336129950248828561/81129638414606681695789005144064)
0.0ms	(-.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992))

series158.0ms (4.9%)

Counts

4 → 22

Calls

4 calls:

69.0ms	(/.f64 1 (/.f64 (-.f64 2278821411449471/9007199254740992 (.f64 x 1080863910568919/9007199254740992)) (-.f64 5193027025280559198049186179841/81129638414606681695789005144064 (.f64 x (*.f64 x 1168266793170336129950248828561/81129638414606681695789005144064)))))
48.0ms	(/.f64 (-.f64 2278821411449471/9007199254740992 (.f64 x 1080863910568919/9007199254740992)) (-.f64 5193027025280559198049186179841/81129638414606681695789005144064 (.f64 x (*.f64 x 1168266793170336129950248828561/81129638414606681695789005144064))))
24.0ms	(.f64 x (.f64 x 1168266793170336129950248828561/81129638414606681695789005144064))
17.0ms	(*.f64 x 1168266793170336129950248828561/81129638414606681695789005144064)

Compiler

Compiled 539 to 475 computations (11.9% saved)

simplify109.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

174 → 174

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5274	4270

prune280.0ms (8.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	174	0	174
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	174	6	180

Error

Counts

180 → 6

Compiler

Compiled 4795 to 3849 computations (19.7% saved)

localize18.0ms (0.6%)

Local error

Found 8 expressions with local error:

0.2b	(.f64 x (.f64 x 1168266793170336129950248828561/81129638414606681695789005144064))
0.1b	(.f64 x (/.f64 (-.f64 5193027025280559198049186179841/81129638414606681695789005144064 (.f64 (.f64 (cbrt.f64 (.f64 x (.f64 x 1168266793170336129950248828561/81129638414606681695789005144064))) (cbrt.f64 (.f64 x (.f64 x 1168266793170336129950248828561/81129638414606681695789005144064)))) (cbrt.f64 (.f64 x (.f64 x 1168266793170336129950248828561/81129638414606681695789005144064))))) (-.f64 2278821411449471/9007199254740992 (.f64 x 1080863910568919/9007199254740992))))
0.0b	(-.f64 5193027025280559198049186179841/81129638414606681695789005144064 (.f64 (.f64 (cbrt.f64 (.f64 x (.f64 x 1168266793170336129950248828561/81129638414606681695789005144064))) (cbrt.f64 (.f64 x (.f64 x 1168266793170336129950248828561/81129638414606681695789005144064)))) (cbrt.f64 (.f64 x (.f64 x 1168266793170336129950248828561/81129638414606681695789005144064)))))
0.0b	(-.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992))
0.4b	(.f64 (cbrt.f64 (.f64 x (.f64 x 1168266793170336129950248828561/81129638414606681695789005144064))) (cbrt.f64 (.f64 x (*.f64 x 1168266793170336129950248828561/81129638414606681695789005144064))))
19.0b	(cbrt.f64 (.f64 x (.f64 x 1168266793170336129950248828561/81129638414606681695789005144064)))
19.0b	(cbrt.f64 (.f64 x (.f64 x 1168266793170336129950248828561/81129638414606681695789005144064)))
19.0b	(cbrt.f64 (.f64 x (.f64 x 1168266793170336129950248828561/81129638414606681695789005144064)))

rewrite25.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`pow1_binary64_2526`
10×	`add-sqr-sqrt_binary64_2487`
9×	`pow1/3_binary64_2547`
8×	`*-un-lft-identity_binary64_2465` `add-cube-cbrt_binary64_2500`
7×	`cbrt-prod_binary64_2496`
6×	`add-exp-log_binary64_2503`
4×	`add-log-exp_binary64_2504` `swap-sqr_binary64_2432` `add-cbrt-cube_binary64_2501` `associate-r_binary64_2405` `associate-l_binary64_2406`
2×	`pow-prod-down_binary64_2536` `pow-sqr_binary64_2438` `pow-prod-up_binary64_2535`
1×	`*-commutative_binary64_2396` `pow-plus_binary64_2528` `unswap-sqr_binary64_2433` `pow2_binary64_2546` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498`

Counts

4 → 58

Calls

8 calls:

6.0ms	(.f64 (cbrt.f64 (.f64 x (.f64 x 1168266793170336129950248828561/81129638414606681695789005144064))) (cbrt.f64 (.f64 x (*.f64 x 1168266793170336129950248828561/81129638414606681695789005144064))))
4.0ms	(cbrt.f64 (.f64 x (.f64 x 1168266793170336129950248828561/81129638414606681695789005144064)))
4.0ms	(cbrt.f64 (.f64 x (.f64 x 1168266793170336129950248828561/81129638414606681695789005144064)))
4.0ms	(cbrt.f64 (.f64 x (.f64 x 1168266793170336129950248828561/81129638414606681695789005144064)))
0.0ms	(-.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992))

series442.0ms (13.6%)

Counts

4 → 12

Calls

4 calls:

130.0ms	(.f64 (cbrt.f64 (.f64 x (.f64 x 1168266793170336129950248828561/81129638414606681695789005144064))) (cbrt.f64 (.f64 x (*.f64 x 1168266793170336129950248828561/81129638414606681695789005144064))))
108.0ms	(cbrt.f64 (.f64 x (.f64 x 1168266793170336129950248828561/81129638414606681695789005144064)))
107.0ms	(cbrt.f64 (.f64 x (.f64 x 1168266793170336129950248828561/81129638414606681695789005144064)))
97.0ms	(cbrt.f64 (.f64 x (.f64 x 1168266793170336129950248828561/81129638414606681695789005144064)))

Compiler

Compiled 786 to 654 computations (16.8% saved)

simplify70.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5133	733

prune113.0ms (3.5%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	70	6	76

Error

Counts

76 → 6

Compiler

Compiled 2303 to 1750 computations (24% saved)

simplify47.0ms (1.5%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	1399	654
1	1399	654

regimes160.0ms (4.9%)

Compiler: Compiled 1463 to 1240 computations (15.2% saved)

bsearch0.0ms (0%)

regimes42.0ms (1.3%)

Compiler: Compiled 133 to 129 computations (3% saved)

bsearch0.0ms (0%)

regimes10.0ms (0.3%)

Compiler: Compiled 17 to 19 computations (-11.8% saved)

bsearch0.0ms (0%)

regimes9.0ms (0.3%)

Compiler: Compiled 10 to 13 computations (-30% saved)

bsearch0.0ms (0%)

regimes10.0ms (0.3%)

Accuracy

Total 0.1b remaining (93%)

Threshold costs 0.1b (93%)

Compiler

Compiled 5 to 8 computations (-60% saved)

bsearch3.0ms (0.1%)

Compiler: Compiled 33 to 30 computations (9.1% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	98	47
1	98	47

end0.0ms (0%)

sample813.0ms (25%)

Algorithm

1×

intervals

Results

212.0ms	8000×	body	128	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 481 to 408 computations (15.2% saved)

Pareto

-0.004364189005500943

Details

analyze4.0ms (0.1%)

sample12.0ms (0.4%)

simplify109.0ms (3.4%)

prune6.0ms (0.2%)

localize6.0ms (0.2%)

rewrite12.0ms (0.4%)

series74.0ms (2.3%)

simplify83.0ms (2.6%)

prune65.0ms (2%)

localize11.0ms (0.4%)

rewrite38.0ms (1.2%)

series206.0ms (6.3%)

simplify77.0ms (2.4%)

prune174.0ms (5.4%)

localize12.0ms (0.4%)

rewrite42.0ms (1.3%)

series158.0ms (4.9%)

simplify109.0ms (3.4%)

prune280.0ms (8.6%)

localize18.0ms (0.6%)

rewrite25.0ms (0.8%)

series442.0ms (13.6%)

simplify70.0ms (2.2%)

prune113.0ms (3.5%)

simplify47.0ms (1.5%)

regimes160.0ms (4.9%)

bsearch0.0ms (0%)

regimes42.0ms (1.3%)

bsearch0.0ms (0%)

regimes10.0ms (0.3%)

bsearch0.0ms (0%)

regimes9.0ms (0.3%)

bsearch0.0ms (0%)

regimes10.0ms (0.3%)

bsearch3.0ms (0.1%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample813.0ms (25%)

Profiling