Details

analyze331.0ms (4%)

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
12.5%	87.4%	0.1%	4
18.7%	81.1%	0.1%	5
18.7%	81.1%	0.1%	6
21.8%	78%	0.1%	7
27.3%	61.6%	11.1%	8
28.5%	60.5%	11.1%	9
32.6%	53.4%	14%	10
40.2%	38.1%	21.7%	11
41.8%	35.8%	22.4%	12
44.5%	29.2%	26.3%	13
47.1%	21.3%	31.6%	14

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample30.0ms (0.4%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
8.0ms	231×	body	128	invalid

Compiler

Compiled 17 to 18 computations (-5.9% saved)

simplify198.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (101.0ms)

Iter	Nodes	Cost
0	4868	12
1	4868	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

8.3b

Counts

2 → 1

Compiler

Compiled 16 to 14 computations (12.5% saved)

localize6.0ms (0.1%)

Local error

Found 6 expressions with local error:

7.8b	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
0.0b	(*.f64 (cosh.f64 x) (/.f64 y x))
0.0b	(cosh.f64 x)
0.0b	(cosh.f64 x)
0.0b	(*.f64 (cosh.f64 x) (/.f64 y x))
7.8b	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

rewrite22.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`add-sqr-sqrt_binary64_8966`
17×	`add-cbrt-cube_binary64_8980` `add-exp-log_binary64_8982`
13×	`times-frac_binary64_8950` `add-cube-cbrt_binary64_8979` `-un-lft-identity_binary64_8944` `associate-r*_binary64_8884`
5×	`pow1_binary64_9005` `div-exp_binary64_8995` `cosh-def_binary64_9130` `cbrt-undiv_binary64_8978`
4×	`prod-exp_binary64_8993` `cbrt-unprod_binary64_8977`
3×	`associate-l_binary64_8885` `associate-/r*_binary64_8888` `associate-/l/_binary64_8891` `add-log-exp_binary64_8983`
2×	`associate-r/_binary64_8886` `frac-times_binary64_8954` `associate-l/_binary64_8887` `unswap-sqr_binary64_8912` `div-inv_binary64_8941`
1×	`clear-num_binary64_8943` `frac-2neg_binary64_8955` `associate-/l_binary64_8889` `-commutative_binary64_8875` `pow-prod-down_binary64_9015`

Counts

3 → 68

Calls

6 calls:

8.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))
7.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
1.0ms	(cosh.f64 x)
0.0ms	(cosh.f64 x)
0.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

series515.0ms (6.3%)

Counts

3 → 27

Calls

3 calls:

311.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
165.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))
38.0ms	(cosh.f64 x)

Compiler

Compiled 682 to 574 computations (15.8% saved)

simplify61.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4953	1360
1	4953	1360

prune98.0ms (1.2%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	87	8	95
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	88	8	96

Error

0.1b

Counts

96 → 8

Compiler

Compiled 1351 to 445 computations (67.1% saved)

localize8.0ms (0.1%)

Local error

Found 6 expressions with local error:

7.9b	(.f64 (.f64 (cosh.f64 x) (/.f64 y x)) (/.f64 1 z))
0.0b	(*.f64 (cosh.f64 x) (/.f64 y x))
0.0b	(cosh.f64 x)
0.0b	(cosh.f64 x)
0.0b	(*.f64 (cosh.f64 x) (/.f64 y x))
7.9b	(.f64 (.f64 (cosh.f64 x) (/.f64 y x)) (/.f64 1 z))

rewrite29.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

47×	`add-exp-log_binary64_8982`
29×	`add-cbrt-cube_binary64_8980`
26×	`associate-r_binary64_8884`
23×	`add-sqr-sqrt_binary64_8966`
22×	`prod-exp_binary64_8993`
19×	`times-frac_binary64_8950`
18×	`add-cube-cbrt_binary64_8979` `*-un-lft-identity_binary64_8944`
12×	`cbrt-unprod_binary64_8977`
11×	`div-exp_binary64_8995`
10×	`pow1_binary64_9005`
7×	`cosh-def_binary64_9130`
6×	`frac-times_binary64_8954` `associate-*l/_binary64_8887` `cbrt-undiv_binary64_8978`
4×	`associate-r/_binary64_8886` `associate-l*_binary64_8885` `pow-prod-down_binary64_9015`
3×	`rec-exp_binary64_8994` `add-log-exp_binary64_8983` `1-exp_binary64_8988`
2×	`*-commutative_binary64_8875` `unswap-sqr_binary64_8912` `div-inv_binary64_8941`
1×	`un-div-inv_binary64_8942`

Counts

3 → 92

Calls

6 calls:

12.0ms	(.f64 (.f64 (cosh.f64 x) (/.f64 y x)) (/.f64 1 z))
8.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))
1.0ms	(cosh.f64 x)
0.0ms	(cosh.f64 x)
0.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))

series514.0ms (6.2%)

Counts

3 → 27

Calls

3 calls:

312.0ms	(.f64 (.f64 (cosh.f64 x) (/.f64 y x)) (/.f64 1 z))
162.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))
39.0ms	(cosh.f64 x)

Compiler

Compiled 726 to 618 computations (14.9% saved)

simplify80.0ms (1%)

Algorithm

1×	egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5016	1738

prune87.0ms (1.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	117	2	119
Fresh	3	4	7
Picked	0	1	1
Done	0	0	0
Total	120	7	127

Error

0.0b

Counts

127 → 7

Compiler

Compiled 1751 to 626 computations (64.2% saved)

localize7.0ms (0.1%)

Local error

Found 8 expressions with local error:

6.8b	(/.f64 (/.f64 (*.f64 (cosh.f64 x) y) z) x)
0.0b	(/.f64 (*.f64 (cosh.f64 x) y) z)
0.0b	(*.f64 (cosh.f64 x) y)
0.0b	(cosh.f64 x)
0.0b	(cosh.f64 x)
0.0b	(*.f64 (cosh.f64 x) y)
0.0b	(/.f64 (*.f64 (cosh.f64 x) y) z)
6.8b	(/.f64 (/.f64 (*.f64 (cosh.f64 x) y) z) x)

rewrite30.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`times-frac_binary64_8950`
26×	`add-sqr-sqrt_binary64_8966`
24×	`add-cube-cbrt_binary64_8979` `*-un-lft-identity_binary64_8944`
20×	`add-cbrt-cube_binary64_8980` `add-exp-log_binary64_8982`
8×	`associate-/l*_binary64_8889`
7×	`div-exp_binary64_8995` `cbrt-undiv_binary64_8978`
6×	`pow1_binary64_9005` `associate-/r*_binary64_8888` `div-inv_binary64_8941`
4×	`add-log-exp_binary64_8983`
3×	`associate-l_binary64_8885` `prod-exp_binary64_8993` `cosh-def_binary64_9130` `associate-r_binary64_8884` `cbrt-unprod_binary64_8977`
2×	`clear-num_binary64_8943` `frac-2neg_binary64_8955` `associate-*l/_binary64_8887` `associate-/l/_binary64_8891`
1×	`*-commutative_binary64_8875` `unswap-sqr_binary64_8912` `pow-prod-down_binary64_9015`

Counts

4 → 97

Calls

8 calls:

7.0ms	(/.f64 (/.f64 (*.f64 (cosh.f64 x) y) z) x)
6.0ms	(/.f64 (*.f64 (cosh.f64 x) y) z)
5.0ms	(*.f64 (cosh.f64 x) y)
1.0ms	(cosh.f64 x)
0.0ms	(cosh.f64 x)

series706.0ms (8.6%)

Counts

4 → 39

Calls

4 calls:

305.0ms	(/.f64 (/.f64 (*.f64 (cosh.f64 x) y) z) x)
244.0ms	(/.f64 (*.f64 (cosh.f64 x) y) z)
123.0ms	(*.f64 (cosh.f64 x) y)
34.0ms	(cosh.f64 x)

Compiler

Compiled 998 to 840 computations (15.8% saved)

simplify66.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4967	2132
1	4967	2132

prune100.0ms (1.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	133	3	136
Fresh	3	2	5
Picked	1	0	1
Done	0	1	1
Total	137	6	143

Error

Counts

143 → 6

Compiler

Compiled 1932 to 578 computations (70.1% saved)

localize8.0ms (0.1%)

Local error

Found 8 expressions with local error:

0.4b	(/.f64 1 (/.f64 x (/.f64 (*.f64 (cosh.f64 x) y) z)))
0.0b	(/.f64 (*.f64 (cosh.f64 x) y) z)
0.0b	(*.f64 (cosh.f64 x) y)
0.0b	(cosh.f64 x)
0.0b	(*.f64 (cosh.f64 x) y)
0.0b	(/.f64 (*.f64 (cosh.f64 x) y) z)
0.4b	(/.f64 1 (/.f64 x (/.f64 (*.f64 (cosh.f64 x) y) z)))
6.7b	(/.f64 x (/.f64 (*.f64 (cosh.f64 x) y) z))

rewrite53.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

234×	`times-frac_binary64_8950`
109×	`add-sqr-sqrt_binary64_8966`
107×	`add-cube-cbrt_binary64_8979` `*-un-lft-identity_binary64_8944`
54×	`add-exp-log_binary64_8982`
36×	`associate-/r*_binary64_8888`
34×	`add-cbrt-cube_binary64_8980`
30×	`div-exp_binary64_8995`
23×	`div-inv_binary64_8941`
16×	`cbrt-undiv_binary64_8978`
7×	`pow1_binary64_9005` `associate-/l*_binary64_8889`
6×	`associate-/r/_binary64_8890` `prod-exp_binary64_8993`
4×	`rec-exp_binary64_8994` `add-log-exp_binary64_8983` `cbrt-unprod_binary64_8977` `1-exp_binary64_8988`
3×	`associate-l_binary64_8885` `clear-num_binary64_8943` `frac-2neg_binary64_8955` `associate-r_binary64_8884`
2×	`cosh-def_binary64_9130` `associate-*l/_binary64_8887`
1×	`inv-pow_binary64_9029` `*-commutative_binary64_8875` `associate-/l/_binary64_8891` `unswap-sqr_binary64_8912` `pow-prod-down_binary64_9015` `pow-flip_binary64_9018`

Counts

4 → 225

Calls

8 calls:

11.0ms	(/.f64 1 (/.f64 x (/.f64 (*.f64 (cosh.f64 x) y) z)))
7.0ms	(/.f64 x (/.f64 (*.f64 (cosh.f64 x) y) z))
5.0ms	(/.f64 (*.f64 (cosh.f64 x) y) z)
5.0ms	(*.f64 (cosh.f64 x) y)
0.0ms	(cosh.f64 x)

series1.1s (13.1%)

Counts

4 → 45

Calls

4 calls:

402.0ms	(/.f64 x (/.f64 (*.f64 (cosh.f64 x) y) z))
318.0ms	(/.f64 1 (/.f64 x (/.f64 (*.f64 (cosh.f64 x) y) z)))
240.0ms	(/.f64 (*.f64 (cosh.f64 x) y) z)
116.0ms	(*.f64 (cosh.f64 x) y)

Compiler

Compiled 1326 to 1124 computations (15.2% saved)

simplify122.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

270 → 270

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4963	5465
1	4963	5465

prune187.0ms (2.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	270	0	270
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	270	6	276

Error

Counts

276 → 6

Compiler

Compiled 4517 to 1216 computations (73.1% saved)

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	187	791
1	187	791

regimes334.0ms (4.1%)

Compiler: Compiled 1554 to 1209 computations (22.2% saved)

bsearch52.0ms (0.6%)

Steps

Iters	Range		Point
6	5.850725409374485e-72	6.934489358124304e-71	3.5870371763425196e-71
9	-6.222637988129527e+98	-6.2259701913329475e+93	-6.293785592098951e+93

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes149.0ms (1.8%)

Compiler: Compiled 441 to 417 computations (5.4% saved)

bsearch56.0ms (0.7%)

Steps

Iters	Range		Point
6	5.850725409374485e-72	6.934489358124304e-71	6.831983702458547e-71
10	-6.049857995837308e-20	-1.0303908189955531e-34	-5.10664396477314e-26

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes136.0ms (1.6%)

Compiler: Compiled 393 to 375 computations (4.6% saved)

bsearch60.0ms (0.7%)

Steps

Iters	Range		Point
8	3.983860000291426e-76	1.1321367095041752e-73	1.1208631392430497e-73
9	-6.222637988129527e+98	-6.2259701913329475e+93	-6.293785592098951e+93

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes144.0ms (1.8%)

Compiler: Compiled 369 to 354 computations (4.1% saved)

bsearch56.0ms (0.7%)

Steps

Iters	Range		Point
6	5.850725409374485e-72	6.934489358124304e-71	6.831983702458547e-71
9	-7.994850764032204e-41	-1.3872207933041276e-47	-7.692520283127174e-41

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes132.0ms (1.6%)

Compiler: Compiled 321 to 312 computations (2.8% saved)

bsearch52.0ms (0.6%)

Steps

Iters	Range		Point
6	5.850725409374485e-72	6.934489358124304e-71	6.831983702458547e-71
10	-0.04621088750633676	-7.1507724959785904e-12	-8.270710748687143e-09

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes120.0ms (1.5%)

Compiler: Compiled 297 to 291 computations (2% saved)

bsearch76.0ms (0.9%)

Steps

Iters	Range		Point
10	1.0017337479794016e-50	3.668859242615921e-37	7.98352922225633e-46
8	-32.89439768266077	-0.033343341570790413	-16.571914064355056

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes115.0ms (1.4%)

Compiler: Compiled 252 to 261 computations (-3.6% saved)

bsearch72.0ms (0.9%)

Steps

Iters	Range		Point
10	7.420212895191359e-24	4.059650700301456e-10	1.2286576793531614e-19
8	-32.89439768266077	-0.033343341570790413	-13.795716282848064

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes99.0ms (1.2%)

Compiler: Compiled 174 to 198 computations (-13.8% saved)

bsearch86.0ms (1%)

Steps

Iters	Range		Point
10	6.749611225900603e+68	7.676456683796258e+84	6.862107961969659e+68
10	-2.477338027927906e+26	-3342143442916609.0	-1.0042656095298039e+21

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes88.0ms (1.1%)

Compiler: Compiled 102 to 141 computations (-38.2% saved)

bsearch50.0ms (0.6%)

Steps

Iters	Range		Point
6	5.850725409374485e-72	6.934489358124304e-71	6.831983702458547e-71
9	-6.222637988129527e+98	-6.2259701913329475e+93	-6.293785592098951e+93

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes71.0ms (0.9%)

Compiler: Compiled 45 to 84 computations (-86.7% saved)

bsearch73.0ms (0.9%)

Steps

Iters	Range		Point
10	1.0017337479794016e-50	3.668859242615921e-37	3.296291255855265e-37
8	-32.89439768266077	-0.033343341570790413	-29.023117811002376

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes31.0ms (0.4%)

Compiler: Compiled 30 to 69 computations (-130% saved)

bsearch0.0ms (0%)

regimes28.0ms (0.3%)

Accuracy

Total 0.8b remaining (97.6%)

Threshold costs 0.8b (97.6%)

Compiler

Compiled 15 to 54 computations (-260% saved)

bsearch13.0ms (0.2%)

Compiler: Compiled 328 to 188 computations (42.7% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	125	405
1	125	405

end0.0ms (0%)

sample1.8s (21.7%)

Algorithm

1×

intervals

Results

273.0ms	8000×	body	128	valid
253.0ms	7434×	body	128	invalid

Compiler

Compiled 829 to 616 computations (25.7% saved)

Pareto

0.941176075102447

Details

analyze331.0ms (4%)

sample30.0ms (0.4%)

simplify198.0ms (2.4%)

prune2.0ms (0%)

localize6.0ms (0.1%)

rewrite22.0ms (0.3%)

series515.0ms (6.3%)

simplify61.0ms (0.7%)

prune98.0ms (1.2%)

localize8.0ms (0.1%)

rewrite29.0ms (0.4%)

series514.0ms (6.2%)

simplify80.0ms (1%)

prune87.0ms (1.1%)

localize7.0ms (0.1%)

rewrite30.0ms (0.4%)

series706.0ms (8.6%)

simplify66.0ms (0.8%)

prune100.0ms (1.2%)

localize8.0ms (0.1%)

rewrite53.0ms (0.6%)

series1.1s (13.1%)

simplify122.0ms (1.5%)

prune187.0ms (2.3%)

simplify12.0ms (0.1%)

regimes334.0ms (4.1%)

bsearch52.0ms (0.6%)

regimes149.0ms (1.8%)

bsearch56.0ms (0.7%)

regimes136.0ms (1.6%)

bsearch60.0ms (0.7%)

regimes144.0ms (1.8%)

bsearch56.0ms (0.7%)

regimes132.0ms (1.6%)

bsearch52.0ms (0.6%)

regimes120.0ms (1.5%)

bsearch76.0ms (0.9%)

regimes115.0ms (1.4%)

bsearch72.0ms (0.9%)

regimes99.0ms (1.2%)

bsearch86.0ms (1%)

regimes88.0ms (1.1%)

bsearch50.0ms (0.6%)

regimes71.0ms (0.9%)

bsearch73.0ms (0.9%)

regimes31.0ms (0.4%)

bsearch0.0ms (0%)

regimes28.0ms (0.3%)

bsearch13.0ms (0.2%)

simplify7.0ms (0.1%)

end0.0ms (0%)

sample1.8s (21.7%)

Profiling