Details

analyze3.3s (3.7%)

Algorithm

1×

Search

True	Other	False	Iter
0%	25%	75%	0
0%	25%	75%	1
0%	25%	75%	2
0%	25%	75%	3
0%	25%	75%	4
0%	25%	75%	5
0%	25%	75%	6
0%	25%	75%	7
3.1%	21.8%	75%	8
3.1%	21.8%	75%	9
3.1%	21.8%	75%	10
3.1%	21.8%	75%	11
3.1%	21.8%	75%	12
3.1%	21.8%	75%	13
3.1%	21.8%	75%	14

Compiler

Compiled 50 to 40 computations (20% saved)

sample13.3s (14.8%)

Algorithm

1×

intervals

Results

11.7s	496×	body	8192	exit
590.0ms	391×	body	1024	overflowed
454.0ms	2386×	body	128	overflowed
167.0ms	201×	body	512	overflowed
106.0ms	3825×	pre	128	true
40.0ms	95×	body	256	overflowed
31.0ms	251×	body	128	valid
5.0ms	3×	body	1024	valid
1.0ms	2×	body	256	valid

Compiler

Compiled 93 to 79 computations (15.1% saved)

simplify153.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5036	68

prune5.0ms (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

4.7b

Counts

2 → 1

Compiler

Compiled 86 to 70 computations (18.6% saved)

localize27.0ms (0%)

Local error

Found 8 expressions with local error:

0.0b	(+.f64 1 (exp.f64 (neg.f64 s)))
0.0b	(+.f64 1 (exp.f64 (neg.f64 s)))
0.0b	(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))))
0.0b	(*.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t))))) c_n))
0.4b	(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))
1.0b	(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))) c_p)
1.5b	(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))) c_p)
2.0b	(/.f64 (.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s))))) c_n)) (.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t))))) c_n)))

rewrite180.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

1192×	`add-exp-log_binary64_4890`
692×	`pow-exp_binary64_4920`
684×	`prod-exp_binary64_4901`
593×	`div-exp_binary64_4903`
344×	`pow-to-exp_binary64_4921`
116×	`1-exp_binary64_4896` `rec-exp_binary64_4902`
56×	`*-un-lft-identity_binary64_4852`
41×	`times-frac_binary64_4858` `add-sqr-sqrt_binary64_4874`
36×	`unpow-prod-down_binary64_4931`
30×	`add-cube-cbrt_binary64_4887`
18×	`cancel-sign-sub-inv_binary64_4818`
16×	`add-cbrt-cube_binary64_4888`
9×	`distribute-lft-out_binary64_4803`
8×	`pow1_binary64_4913`
6×	`difference-of-squares_binary64_4821` `pow-pow_binary64_4924` `add-log-exp_binary64_4891` `associate-/r/_binary64_4798` `pow-unpow_binary64_4929`
5×	`div-inv_binary64_4849`
4×	`cbrt-unprod_binary64_4885` `cbrt-undiv_binary64_4886`
3×	`flip-+_binary64_4826` `flip3-+_binary64_4855`
2×	`pow-flip_binary64_4926` `distribute-lft-out--_binary64_4804` `inv-pow_binary64_4937` `sqr-pow_binary64_4824`
1×	`flip3--_binary64_4856` `sub-neg_binary64_4845` `associate-/l_binary64_4797` `clear-num_binary64_4851` `associate-/r_binary64_4796` `flip--_binary64_4827` `diff-log_binary64_4944` `frac-2neg_binary64_4863`

Counts

4 → 489

Calls

8 calls:

47.0ms	(/.f64 (.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s))))) c_n)) (.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t))))) c_n)))
16.0ms	(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))
8.0ms	(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))) c_p)
7.0ms	(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))) c_p)
0.0ms	(*.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t))))) c_n))

series2.3s (2.5%)

Counts

4 → 33

Calls

4 calls:

1.9s	(/.f64 (.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))) c_p) (pow.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s))))) c_n)) (.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))) c_p) (pow.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t))))) c_n)))
160.0ms	(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))) c_p)
157.0ms	(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))) c_p)
43.0ms	(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))

Compiler

Compiled 2832 to 2335 computations (17.5% saved)

simplify289.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

522 → 522

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	4950	28504
1	4950	28504

prune1.9s (2.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	519	3	522
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	520	3	523

Error

Counts

523 → 3

Compiler

Compiled 22695 to 14463 computations (36.3% saved)

localize29.0ms (0%)

Local error

Found 8 expressions with local error:

0.0b	(+.f64 1 (exp.f64 (neg.f64 s)))
0.0b	(+.f64 1 (exp.f64 (neg.f64 s)))
0.0b	(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))))
0.0b	(log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s))))))
1.2b	(log.f64 (+.f64 1 (exp.f64 (neg.f64 s))))
1.9b	(log.f64 (+.f64 1 (exp.f64 (neg.f64 t))))
10.8b	(-.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 s)))) (log.f64 (+.f64 1 (exp.f64 (neg.f64 t)))))
10.8b	(-.f64 (log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))))) (log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))))

rewrite63.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

44×	`*-un-lft-identity_binary64_4852`
38×	`log-prod_binary64_4938` `add-sqr-sqrt_binary64_4874`
16×	`pow1_binary64_4913`
15×	`associate--l+_binary64_4789` `associate--r+_binary64_4788`
14×	`difference-of-squares_binary64_4821`
12×	`distribute-lft-out--_binary64_4804` `add-cube-cbrt_binary64_4887` `log-div_binary64_4939` `log-pow_binary64_4941`
8×	`times-frac_binary64_4858` `cancel-sign-sub-inv_binary64_4818`
6×	`add-exp-log_binary64_4890`
4×	`associate--r-_binary64_4791` `flip3--_binary64_4856` `associate--l-_binary64_4790` `flip-+_binary64_4826` `distribute-lft-out_binary64_4803` `add-cbrt-cube_binary64_4888` `add-log-exp_binary64_4891` `flip--_binary64_4827` `flip3-+_binary64_4855`
2×	`sub-neg_binary64_4845` `div-inv_binary64_4849` `rem-log-exp_binary64_4893` `diff-log_binary64_4944`

Counts

4 → 108

Calls

8 calls:

29.0ms	(-.f64 (log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))))) (log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))))
11.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 s)))) (log.f64 (+.f64 1 (exp.f64 (neg.f64 t)))))
4.0ms	(log.f64 (+.f64 1 (exp.f64 (neg.f64 t))))
4.0ms	(log.f64 (+.f64 1 (exp.f64 (neg.f64 s))))
0.0ms	(log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s))))))

series756.0ms (0.8%)

Counts

4 → 21

Calls

4 calls:

402.0ms	(-.f64 (log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))))) (log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))))
236.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 s)))) (log.f64 (+.f64 1 (exp.f64 (neg.f64 t)))))
62.0ms	(log.f64 (+.f64 1 (exp.f64 (neg.f64 s))))
55.0ms	(log.f64 (+.f64 1 (exp.f64 (neg.f64 t))))

Compiler

Compiled 1585 to 1408 computations (11.2% saved)

simplify78.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4975	3390
1	4975	3390

prune312.0ms (0.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	128	1	129
Fresh	1	1	2
Picked	1	0	1
Done	0	0	0
Total	130	2	132

Error

Counts

132 → 2

Compiler

Compiled 6270 to 4124 computations (34.2% saved)

localize25.0ms (0%)

Local error

Found 8 expressions with local error:

0.0b	(+.f64 1 (exp.f64 (neg.f64 s)))
0.0b	(+.f64 1 (exp.f64 (neg.f64 s)))
0.0b	(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))))
0.0b	(log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s))))))
1.2b	(log.f64 (+.f64 1 (exp.f64 (neg.f64 s))))
1.9b	(log.f64 (+.f64 1 (exp.f64 (neg.f64 t))))
5.9b	(-.f64 (log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))))) (log.f64 1/2))
10.8b	(-.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 s)))) (log.f64 (+.f64 1 (exp.f64 (neg.f64 t)))))

rewrite50.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`*-un-lft-identity_binary64_4852`
30×	`log-prod_binary64_4938`
27×	`add-sqr-sqrt_binary64_4874`
16×	`pow1_binary64_4913`
15×	`associate--l+_binary64_4789`
12×	`add-cube-cbrt_binary64_4887` `log-pow_binary64_4941`
10×	`distribute-lft-out--_binary64_4804` `log-div_binary64_4939`
8×	`difference-of-squares_binary64_4821` `cancel-sign-sub-inv_binary64_4818`
7×	`associate--r+_binary64_4788`
6×	`add-exp-log_binary64_4890`
4×	`times-frac_binary64_4858` `associate--l-_binary64_4790` `flip-+_binary64_4826` `distribute-lft-out_binary64_4803` `add-cbrt-cube_binary64_4888` `add-log-exp_binary64_4891` `flip3-+_binary64_4855`
3×	`flip3--_binary64_4856` `flip--_binary64_4827`
2×	`associate--r-_binary64_4791` `sub-neg_binary64_4845` `rem-log-exp_binary64_4893` `diff-log_binary64_4944`
1×	`div-inv_binary64_4849`

Counts

4 → 98

Calls

8 calls:

18.0ms	(-.f64 (log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))))) (log.f64 1/2))
11.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 s)))) (log.f64 (+.f64 1 (exp.f64 (neg.f64 t)))))
4.0ms	(log.f64 (+.f64 1 (exp.f64 (neg.f64 t))))
4.0ms	(log.f64 (+.f64 1 (exp.f64 (neg.f64 s))))
0.0ms	(log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s))))))

series485.0ms (0.5%)

Counts

4 → 19

Calls

4 calls:

245.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 s)))) (log.f64 (+.f64 1 (exp.f64 (neg.f64 t)))))
119.0ms	(-.f64 (log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))))) (log.f64 1/2))
63.0ms	(log.f64 (+.f64 1 (exp.f64 (neg.f64 s))))
57.0ms	(log.f64 (+.f64 1 (exp.f64 (neg.f64 t))))

Compiler

Compiled 1127 to 1052 computations (6.7% saved)

simplify69.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4892	2406
1	4892	2406

prune255.0ms (0.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	117	2	119

Error

Counts

119 → 2

Compiler

Compiled 4610 to 3053 computations (33.8% saved)

localize16.0ms (0%)

Local error

Found 8 expressions with local error:

0.0b	(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t))))
0.0b	(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s))))
0.0b	(+.f64 1 (exp.f64 (neg.f64 s)))
0.0b	(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))))
0.0b	(+.f64 1 (exp.f64 (neg.f64 t)))
0.0b	(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t))))
0.4b	(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))
1.7b	(/.f64 (pow.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s))))) c_n) (pow.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t))))) c_n))

rewrite120.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

448×	`add-sqr-sqrt_binary64_4874`
381×	`times-frac_binary64_4858`
365×	`*-un-lft-identity_binary64_4852`
352×	`unpow-prod-down_binary64_4931`
198×	`difference-of-squares_binary64_4821`
85×	`add-cube-cbrt_binary64_4887`
66×	`distribute-lft-out--_binary64_4804`
36×	`div-inv_binary64_4849`
32×	`sqr-pow_binary64_4824`
20×	`add-exp-log_binary64_4890`
19×	`associate-/r*_binary64_4796`
18×	`cancel-sign-sub-inv_binary64_4818` `associate-/l*_binary64_4797`
11×	`div-exp_binary64_4903`
8×	`distribute-lft-out_binary64_4803` `add-cbrt-cube_binary64_4888` `add-log-exp_binary64_4891`
6×	`pow-to-exp_binary64_4921` `pow-exp_binary64_4920`
5×	`pow1_binary64_4913`
4×	`associate-/r/_binary64_4798`
3×	`flip-+_binary64_4826` `flip3-+_binary64_4855`
2×	`clear-num_binary64_4851` `cbrt-undiv_binary64_4886` `frac-2neg_binary64_4863`
1×	`pow-flip_binary64_4926` `+-commutative_binary64_4782` `flip3--_binary64_4856` `1-exp_binary64_4896` `sub-neg_binary64_4845` `rec-exp_binary64_4902` `flip--_binary64_4827` `inv-pow_binary64_4937` `diff-log_binary64_4944` `sum-log_binary64_4943`

Counts

4 → 361

Calls

8 calls:

33.0ms	(/.f64 (pow.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s))))) c_n) (pow.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t))))) c_n))
11.0ms	(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))
6.0ms	(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t))))
4.0ms	(+.f64 1 (exp.f64 (neg.f64 t)))
0.0ms	(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))))

series736.0ms (0.8%)

Counts

4 → 20

Calls

4 calls:

646.0ms	(/.f64 (pow.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s))))) c_n) (pow.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t))))) c_n))
41.0ms	(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))
34.0ms	(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t))))
14.0ms	(+.f64 1 (exp.f64 (neg.f64 t)))

Compiler

Compiled 918 to 913 computations (0.5% saved)

simplify219.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

381 → 381

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4964	20332
1	4964	20332

prune1.3s (1.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	381	0	381
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	381	2	383

Error

Counts

383 → 2

Compiler

Compiled 15199 to 10414 computations (31.5% saved)

simplify13.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	312	716
1	312	716

regimes594.0ms (0.7%)

Compiler: Compiled 6484 to 6120 computations (5.6% saved)

bsearch6.8s (7.6%)

Steps

Iters	Range		Point
6	9.976983273137485e-27	7.021240139308173e-26	1.0119066183353964e-26
8	1.6520163241771236e-213	1.4300860283151625e-210	6.277373617621886e-212

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes487.0ms (0.5%)

Compiler: Compiled 5857 to 5295 computations (9.6% saved)

bsearch6.8s (7.5%)

Steps

Iters	Range		Point
6	9.976983273137485e-27	7.021240139308173e-26	1.0119066183353964e-26
8	1.6520163241771236e-213	1.4300860283151625e-210	3.792206016789976e-212

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes371.0ms (0.4%)

Compiler: Compiled 5227 to 4665 computations (10.8% saved)

bsearch0.0ms (0%)

regimes222.0ms (0.2%)

Compiler: Compiled 2861 to 2491 computations (12.9% saved)

bsearch10.0ms (0%)

Compiler: Compiled 246 to 198 computations (19.5% saved)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	125	400
1	125	400

end0.0ms (0%)

sample48.5s (54%)

Algorithm

1×

intervals

Results

43.0s	1914×	body	8192	exit
2.2s	1491×	body	1024	overflowed
1.6s	8975×	body	128	overflowed
566.0ms	723×	body	512	overflowed
355.0ms	14547×	pre	128	true
153.0ms	379×	body	256	overflowed
123.0ms	1037×	body	128	valid
86.0ms	5×	body	8192	valid
16.0ms	10×	body	1024	valid
12.0ms	2×	body	4096	valid
10.0ms	3×	body	2048	valid
2.0ms	3×	body	512	valid
2.0ms	5×	body	256	valid

Compiler

Compiled 50 to 44 computations (12% saved)

Details

analyze3.3s (3.7%)

sample13.3s (14.8%)

simplify153.0ms (0.2%)

prune5.0ms (0%)

localize27.0ms (0%)

rewrite180.0ms (0.2%)

series2.3s (2.5%)

simplify289.0ms (0.3%)

prune1.9s (2.2%)

localize29.0ms (0%)

rewrite63.0ms (0.1%)

series756.0ms (0.8%)

simplify78.0ms (0.1%)

prune312.0ms (0.3%)

localize25.0ms (0%)

rewrite50.0ms (0.1%)

series485.0ms (0.5%)

simplify69.0ms (0.1%)

prune255.0ms (0.3%)

localize16.0ms (0%)

rewrite120.0ms (0.1%)

series736.0ms (0.8%)

simplify219.0ms (0.2%)

prune1.3s (1.4%)

simplify13.0ms (0%)

regimes594.0ms (0.7%)

bsearch6.8s (7.6%)

regimes487.0ms (0.5%)

bsearch6.8s (7.5%)

regimes371.0ms (0.4%)

bsearch0.0ms (0%)

regimes222.0ms (0.2%)

bsearch10.0ms (0%)

simplify6.0ms (0%)

end0.0ms (0%)

sample48.5s (54%)

end0.0ms (0%)

Profiling