Details

analyze227.0ms (2.9%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	87.4%	12.6%	5
9.4%	65.5%	25.1%	6
14%	60.8%	25.1%	7
19.5%	49.1%	31.4%	8
24.6%	37.8%	37.6%	9
28.7%	33.7%	37.6%	10
33.3%	26%	40.7%	11
36.2%	19.9%	43.8%	12
38.6%	17.6%	43.8%	13
41.3%	13.3%	45.4%	14

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample25.0ms (0.3%)

Algorithm

1×

intervals

Results

14.0ms	256×	body	128	valid
1.0ms	27×	body	128	nan

Compiler

Compiled 17 to 18 computations (-5.9% saved)

simplify360.0ms (4.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (270.0ms)

Iter	Nodes	Cost
0	5063	12

prune2.0ms (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

13.7b

Counts

2 → 1

Compiler

Compiled 16 to 14 computations (12.5% saved)

localize8.0ms (0.1%)

Local error

Found 6 expressions with local error:

13.5b	(log.f64 (/.f64 x y))
0.3b	(*.f64 x (log.f64 (/.f64 x y)))
0.0b	(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
0.0b	(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
0.3b	(*.f64 x (log.f64 (/.f64 x y)))
13.5b	(log.f64 (/.f64 x y))

rewrite29.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

65×	`log-prod_binary64_13463`
45×	`times-frac_binary64_13383`
43×	`add-sqr-sqrt_binary64_13399`
41×	`add-cube-cbrt_binary64_13412` `*-un-lft-identity_binary64_13377`
26×	`distribute-rgt-in_binary64_13327` `associate--l+_binary64_13314` `distribute-lft-in_binary64_13326`
8×	`add-exp-log_binary64_13415`
7×	`pow1_binary64_13438`
5×	`div-inv_binary64_13374` `add-log-exp_binary64_13416` `add-cbrt-cube_binary64_13413`
4×	`associate-r_binary64_13317`
3×	`associate-l_binary64_13318` `cancel-sign-sub-inv_binary64_13343`
2×	`rem-log-exp_binary64_13418` `log-pow_binary64_13466`
1×	`prod-exp_binary64_13426` `diff-log_binary64_13469` `cbrt-unprod_binary64_13410` `unswap-sqr_binary64_13345` `pow-prod-down_binary64_13448` `*-commutative_binary64_13308` `flip3--_binary64_13381` `div-exp_binary64_13428` `flip--_binary64_13352` `sub-neg_binary64_13370` `log-div_binary64_13464`

Counts

3 → 109

Calls

6 calls:

8.0ms	(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
7.0ms	(*.f64 x (log.f64 (/.f64 x y)))
3.0ms	(log.f64 (/.f64 x y))
0.0ms	(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
0.0ms	(*.f64 x (log.f64 (/.f64 x y)))

series610.0ms (7.7%)

Counts

3 → 27

Calls

3 calls:

302.0ms	(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
174.0ms	(*.f64 x (log.f64 (/.f64 x y)))
134.0ms	(log.f64 (/.f64 x y))

Compiler

Compiled 525 to 477 computations (9.1% saved)

simplify89.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4965	1964
1	4965	1964

prune170.0ms (2.2%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	127	9	136
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	128	9	137

Error

0.0b

Counts

137 → 9

Compiler

Compiled 2073 to 563 computations (72.8% saved)

localize14.0ms (0.2%)

Local error

Found 8 expressions with local error:

0.3b	(.f64 x (+.f64 (.f64 2 (log.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 y)))) (log.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 y)))))
0.0b	(log.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 y)))
0.0b	(log.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 y)))
0.0b	(-.f64 (.f64 x (+.f64 (.f64 2 (log.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 y)))) (log.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 y))))) z)
0.5b	(cbrt.f64 y)
0.5b	(cbrt.f64 y)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)

rewrite9.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`cbrt-prod_binary64_13408`
8×	`add-cube-cbrt_binary64_13412` `*-un-lft-identity_binary64_13377` `add-sqr-sqrt_binary64_13399`
4×	`pow1/3_binary64_13459` `pow1_binary64_13438` `add-log-exp_binary64_13416` `add-exp-log_binary64_13415` `add-cbrt-cube_binary64_13413`

Counts

4 → 44

Calls

8 calls:

1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 x)
0.0ms	(-.f64 (.f64 x (+.f64 (.f64 2 (log.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 y)))) (log.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 y))))) z)

series289.0ms (3.7%)

Counts

4 → 12

Calls

4 calls:

76.0ms	(cbrt.f64 x)
74.0ms	(cbrt.f64 y)
70.0ms	(cbrt.f64 x)
69.0ms	(cbrt.f64 y)

Compiler

Compiled 520 to 424 computations (18.5% saved)

simplify88.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4832	324
1	4832	324

prune54.0ms (0.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	56	9	65

Error

0.0b

Counts

65 → 9

Compiler

Compiled 1370 to 541 computations (60.5% saved)

localize24.0ms (0.3%)

Local error

Found 8 expressions with local error:

0.3b	(.f64 (log.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (cbrt.f64 y) (cbrt.f64 y)))) x)
0.2b	(+.f64 (.f64 (log.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (cbrt.f64 y) (cbrt.f64 y)))) x) (-.f64 (.f64 x (log.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 y)))) z))
0.0b	(log.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 y)))
0.0b	(-.f64 (*.f64 x (log.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 y)))) z)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
2.7b	(log.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (cbrt.f64 y) (cbrt.f64 y))))

rewrite18.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-exp-log_binary64_13415`
9×	`cbrt-prod_binary64_13408`
8×	`add-cube-cbrt_binary64_13412` `*-un-lft-identity_binary64_13377` `add-sqr-sqrt_binary64_13399`
5×	`rem-log-exp_binary64_13418` `log-prod_binary64_13463` `pow1_binary64_13438`
4×	`prod-exp_binary64_13426` `div-exp_binary64_13428` `add-log-exp_binary64_13416` `add-cbrt-cube_binary64_13413`
3×	`pow1/3_binary64_13459`
1×	`div-inv_binary64_13374` `times-frac_binary64_13383` `log-pow_binary64_13466` `log-div_binary64_13464`

Counts

4 → 52

Calls

8 calls:

9.0ms	(log.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (cbrt.f64 y) (cbrt.f64 y))))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
0.0ms	(-.f64 (*.f64 x (log.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 y)))) z)

series718.0ms (9.1%)

Counts

4 → 15

Calls

4 calls:

492.0ms	(log.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (cbrt.f64 y) (cbrt.f64 y))))
83.0ms	(cbrt.f64 x)
72.0ms	(cbrt.f64 x)
70.0ms	(cbrt.f64 x)

Compiler

Compiled 858 to 648 computations (24.5% saved)

simplify63.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4930	589
1	4930	589

prune67.0ms (0.9%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	67	0	67
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	67	9	76

Error

0.0b

Counts

76 → 9

Compiler

Compiled 1939 to 492 computations (74.6% saved)

localize19.0ms (0.2%)

Local error

Found 8 expressions with local error:

0.3b	(.f64 (log.f64 (/.f64 1 (.f64 (cbrt.f64 y) (cbrt.f64 y)))) x)
0.2b	(/.f64 x (cbrt.f64 y))
0.0b	(-.f64 (*.f64 x (log.f64 (/.f64 x (cbrt.f64 y)))) z)
0.0b	(log.f64 (/.f64 1 (*.f64 (cbrt.f64 y) (cbrt.f64 y))))
0.5b	(cbrt.f64 y)
0.5b	(cbrt.f64 y)
0.5b	(cbrt.f64 y)
2.8b	(log.f64 (/.f64 x (cbrt.f64 y)))

rewrite14.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`log-prod_binary64_13463`
20×	`add-cube-cbrt_binary64_13412` `*-un-lft-identity_binary64_13377` `add-sqr-sqrt_binary64_13399`
18×	`times-frac_binary64_13383` `cbrt-prod_binary64_13408`
7×	`add-exp-log_binary64_13415`
5×	`pow1_binary64_13438`
4×	`add-log-exp_binary64_13416` `add-cbrt-cube_binary64_13413`
3×	`pow1/3_binary64_13459`
2×	`rem-log-exp_binary64_13418`
1×	`div-inv_binary64_13374` `div-exp_binary64_13428` `log-pow_binary64_13466` `log-div_binary64_13464`

Counts

4 → 66

Calls

8 calls:

4.0ms	(log.f64 (/.f64 x (cbrt.f64 y)))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
0.0ms	(log.f64 (/.f64 1 (*.f64 (cbrt.f64 y) (cbrt.f64 y))))

series520.0ms (6.6%)

Counts

4 → 15

Calls

4 calls:

297.0ms	(log.f64 (/.f64 x (cbrt.f64 y)))
76.0ms	(cbrt.f64 y)
75.0ms	(cbrt.f64 y)
70.0ms	(cbrt.f64 y)

Compiler

Compiled 708 to 558 computations (21.2% saved)

simplify77.0ms (1%)

Algorithm

1×	egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4932	856
1	4932	856

prune79.0ms (1%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	81	9	90

Error

0.0b

Counts

90 → 9

Compiler

Compiled 1972 to 737 computations (62.6% saved)

simplify19.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	412	969
1	412	969

regimes372.0ms (4.7%)

Compiler: Compiled 3259 to 2291 computations (29.7% saved)

bsearch0.0ms (0%)

regimes316.0ms (4%)

Compiler: Compiled 2464 to 1841 computations (25.3% saved)

bsearch0.0ms (0%)

regimes325.0ms (4.1%)

Compiler: Compiled 2264 to 1731 computations (23.5% saved)

bsearch39.0ms (0.5%)

Steps

Iters	Range		Point
11	-1.8642491697052993e-297	1.4941236291534648e-299	-5.32267937711542e-309

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes321.0ms (4.1%)

Compiler: Compiled 2179 to 1681 computations (22.9% saved)

bsearch39.0ms (0.5%)

Steps

Iters	Range		Point
11	-1.8642491697052993e-297	1.4941236291534648e-299	-5.32267937711542e-309

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes196.0ms (2.5%)

Compiler: Compiled 397 to 448 computations (-12.8% saved)

bsearch69.0ms (0.9%)

Steps

Iters

Range

Point

-9.106450292955911e-302

6.2538453968732035e-307

2.0913932542268e-310

-1.0349773169317926e-164

-5.255836356615767e-166

-2.9240587643734853e-165

-9.609051773642596e+203

-4.1931542467452936e+203

-4.251695761728055e+203

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes162.0ms (2.1%)

Compiler: Compiled 287 to 348 computations (-21.3% saved)

bsearch54.0ms (0.7%)

Steps

Iters	Range		Point
9	-9.106450292955911e-302	6.2538453968732035e-307	2.0913932542268e-310
7	-1.0349773169317926e-164	-5.255836356615767e-166	-8.061489415130566e-166

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes152.0ms (1.9%)

Compiler: Compiled 232 to 303 computations (-30.6% saved)

bsearch53.0ms (0.7%)

Steps

Iters	Range		Point
9	-9.106450292955911e-302	6.2538453968732035e-307	2.0913932542268e-310
7	-1.0349773169317926e-164	-5.255836356615767e-166	-3.645628171678718e-165

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes111.0ms (1.4%)

Compiler: Compiled 156 to 222 computations (-42.3% saved)

bsearch21.0ms (0.3%)

Steps

Iters	Range		Point
7	1.1201734199851537e+306	#hash((type . real) (value . +inf))	1.77169392732599e+308
10	#hash((type . real) (value . -inf))	-8.998505626640616e+292	-1.7753655568145892e+308

Compiler

Compiled 6 to 6 computations (0% saved)

regimes177.0ms (2.2%)

Compiler: Compiled 62 to 118 computations (-90.3% saved)

bsearch70.0ms (0.9%)

Steps

Iters	Range		Point
9	5.907610468617172e-46	2.4552451299734677e-39	3.2378445002596346e-45
8	-8.797655700862099e-170	-3.0069304437647243e-174	-8.221622857389028e-170
8	-3.2722308719811303e-130	-8.814513349555191e-133	-9.40358822995624e-133
8	-2.970350627210778e-19	-6.630797317958087e-24	-1.710839888818094e-23

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes29.0ms (0.4%)

Compiler: Compiled 21 to 66 computations (-214.3% saved)

bsearch0.0ms (0%)

regimes24.0ms (0.3%)

Compiler: Compiled 15 to 54 computations (-260% saved)

bsearch0.0ms (0%)

regimes24.0ms (0.3%)

Accuracy

Total 0.2b remaining (96.2%)

Threshold costs 0.2b (96.2%)

Compiler

Compiled 12 to 42 computations (-250% saved)

bsearch14.0ms (0.2%)

Compiler: Compiled 268 to 181 computations (32.5% saved)

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	179	402
1	179	402

end0.0ms (0%)

sample1.7s (21.7%)

Algorithm

1×

intervals

Results

355.0ms	8000×	body	128	valid
27.0ms	715×	body	128	nan
1.0ms	31×	body	128	invalid

Compiler

Compiled 899 to 633 computations (29.6% saved)

Pareto

0.6882547275682539

Details

analyze227.0ms (2.9%)

sample25.0ms (0.3%)

simplify360.0ms (4.6%)

prune2.0ms (0%)

localize8.0ms (0.1%)

rewrite29.0ms (0.4%)

series610.0ms (7.7%)

simplify89.0ms (1.1%)

prune170.0ms (2.2%)

localize14.0ms (0.2%)

rewrite9.0ms (0.1%)

series289.0ms (3.7%)

simplify88.0ms (1.1%)

prune54.0ms (0.7%)

localize24.0ms (0.3%)

rewrite18.0ms (0.2%)

series718.0ms (9.1%)

simplify63.0ms (0.8%)

prune67.0ms (0.9%)

localize19.0ms (0.2%)

rewrite14.0ms (0.2%)

series520.0ms (6.6%)

simplify77.0ms (1%)

prune79.0ms (1%)

simplify19.0ms (0.2%)

regimes372.0ms (4.7%)

bsearch0.0ms (0%)

regimes316.0ms (4%)

bsearch0.0ms (0%)

regimes325.0ms (4.1%)

bsearch39.0ms (0.5%)

regimes321.0ms (4.1%)

bsearch39.0ms (0.5%)

regimes196.0ms (2.5%)

bsearch69.0ms (0.9%)

regimes162.0ms (2.1%)

bsearch54.0ms (0.7%)

regimes152.0ms (1.9%)

bsearch53.0ms (0.7%)

regimes111.0ms (1.4%)

bsearch21.0ms (0.3%)

regimes177.0ms (2.2%)

bsearch70.0ms (0.9%)

regimes29.0ms (0.4%)

bsearch0.0ms (0%)

regimes24.0ms (0.3%)

bsearch0.0ms (0%)

regimes24.0ms (0.3%)

bsearch14.0ms (0.2%)

simplify12.0ms (0.1%)

end0.0ms (0%)

sample1.7s (21.7%)

Profiling