Details

analyze4.5s (7.9%)

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
0%	25%	75%	8
1.6%	23.4%	75%	9
1.6%	23.4%	75%	10
1.6%	23.4%	75%	11
1.6%	23.4%	75%	12
1.6%	23.4%	75%	13
1.6%	23.4%	75%	14

Compiler

Compiled 50 to 40 computations (20% saved)

sample5.1s (9.1%)

Algorithm

1×

intervals

Results

3.3s	466×	body	5120	exit
688.0ms	259×	body	1280	overflowed
448.0ms	2080×	body	80	overflowed
294.0ms	202×	body	640	overflowed
99.0ms	3426×	pre	80	true
91.0ms	108×	body	320	overflowed
33.0ms	243×	body	80	valid
24.0ms	54×	body	160	overflowed
16.0ms	2×	body	5120	valid
7.0ms	3×	body	1280	valid
4.0ms	3×	body	640	valid
2.0ms	5×	body	160	valid
0.0ms	1×	body	80	invalid

Compiler

Compiled 93 to 79 computations (15.1% saved)

simplify146.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (128.0ms)

Iter	Nodes	Cost
0	5011	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

Merged error: 5.7b

Counts

2 → 1

Compiler

Compiled 86 to 70 computations (18.6% saved)

localize22.0ms (0%)

Local error

Found 4 expressions with local error:

0.1b	(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))
0.5b	(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))) c_p)
1.9b	(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))) c_p)
2.2b	(/.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)))

rewrite157.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

1192×	`add-exp-log_binary64`
692×	`pow-exp_binary64`
684×	`prod-exp_binary64`
593×	`div-exp_binary64`
344×	`pow-to-exp_binary64`
116×	`1-exp_binary64` `rec-exp_binary64`
42×	`*-un-lft-identity_binary64`
36×	`unpow-prod-down_binary64`
33×	`add-sqr-sqrt_binary64`
29×	`times-frac_binary64`
22×	`add-cube-cbrt_binary64`
16×	`add-cbrt-cube_binary64`
8×	`pow1_binary64`
6×	`pow-unpow_binary64` `add-log-exp_binary64` `distribute-lft-out_binary64` `pow-pow_binary64` `difference-of-squares_binary64`
4×	`cbrt-unprod_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64` `div-inv_binary64` `insert-posit16`
2×	`flip3-+_binary64` `sqr-pow_binary64` `inv-pow_binary64` `distribute-lft-out--_binary64` `pow-flip_binary64` `flip-+_binary64`
1×	`associate-/r_binary64` `sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `flip--_binary64`

Counts

4 → 475

Calls

4 calls:

63.0ms	(/.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)))
13.0ms	(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))
9.0ms	(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))) c_p)
9.0ms	(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))) c_p)

series1.7s (3%)

Counts

4 → 12

Calls

4 calls:

1.4s	(/.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)))
111.0ms	(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s)))) c_p)
109.0ms	(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))) c_p)
68.0ms	(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))

simplify246.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

487 → 487

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5396	27431

prune1.6s (2.8%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	484	3	487
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	485	3	488

Merged error: 0b

Counts

488 → 3

Compiler

Compiled 21077 to 13406 computations (36.4% saved)

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

0.0b	(.f64 (.f64 s 1/2) (-.f64 c_p c_n))

rewrite12.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`associate-r_binary64`
4×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
2×	`sub-neg_binary64` `associate-*r/_binary64` `add-cube-cbrt_binary64`
1×	`add-log-exp_binary64` `flip3--_binary64` `distribute-lft-in_binary64` `associate-l_binary64` `distribute-rgt-in_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `insert-posit16` `flip--_binary64` `*-commutative_binary64`

Counts

1 → 25

Calls

1 calls:

11.0ms

(*.f64 (*.f64 s 1/2) (-.f64 c_p c_n))

series73.0ms (0.1%)

Counts

1 → 3

Calls

1 calls:

73.0ms

(*.f64 (*.f64 s 1/2) (-.f64 c_p c_n))

simplify92.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4909	331
1	4909	331

prune26.0ms (0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	28	0	28
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	28	3	31

Merged error: 0b

Counts

31 → 3

Compiler

Compiled 449 to 291 computations (35.2% saved)

localize27.0ms (0%)

Local error

Found 4 expressions with local error:

0.5b	(log.f64 (+.f64 1 (exp.f64 (neg.f64 s))))
2.1b	(log.f64 (+.f64 1 (exp.f64 (neg.f64 t))))
11.9b	(-.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 s)))) (log.f64 (+.f64 1 (exp.f64 (neg.f64 t)))))
12.0b	(-.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)))))))

rewrite60.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

42×	`*-un-lft-identity_binary64`
38×	`log-prod_binary64`
36×	`add-sqr-sqrt_binary64`
15×	`associate--r+_binary64` `associate--l+_binary64`
14×	`pow1_binary64` `difference-of-squares_binary64`
12×	`distribute-lft-out--_binary64` `log-div_binary64`
10×	`add-cube-cbrt_binary64` `log-pow_binary64`
8×	`times-frac_binary64`
6×	`add-exp-log_binary64`
4×	`flip3-+_binary64` `add-log-exp_binary64` `flip3--_binary64` `associate--l-_binary64` `distribute-lft-out_binary64` `associate--r-_binary64` `add-cbrt-cube_binary64` `insert-posit16` `flip--_binary64` `flip-+_binary64`
2×	`sub-neg_binary64` `diff-log_binary64` `rem-log-exp_binary64` `div-inv_binary64`

Counts

4 → 104

Calls

4 calls:

30.0ms	(-.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)))))))
13.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 s)))) (log.f64 (+.f64 1 (exp.f64 (neg.f64 t)))))
7.0ms	(log.f64 (+.f64 1 (exp.f64 (neg.f64 t))))
5.0ms	(log.f64 (+.f64 1 (exp.f64 (neg.f64 s))))

series565.0ms (1%)

Counts

4 → 12

Calls

4 calls:

252.0ms	(-.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)))))))
130.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 (neg.f64 s)))) (log.f64 (+.f64 1 (exp.f64 (neg.f64 t)))))
95.0ms	(log.f64 (+.f64 1 (exp.f64 (neg.f64 t))))
87.0ms	(log.f64 (+.f64 1 (exp.f64 (neg.f64 s))))

simplify186.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (147.0ms)

Iter	Nodes	Cost
0	4860	3209
1	4860	3209

prune299.0ms (0.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	115	1	116
Fresh	1	0	1
Picked	1	0	1
Done	0	1	1
Total	117	2	119

Merged error: 0b

Counts

119 → 2

Compiler

Compiled 5776 to 3797 computations (34.3% saved)

localize27.0ms (0%)

Local error

Found 4 expressions with local error:

0.1b	(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))
0.2b	(log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s))))))
0.3b	(.f64 (neg.f64 c_p) (+.f64 (.f64 t 1/2) (.f64 s (+.f64 -1/2 (.f64 s 1/8)))))
12.0b	(-.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)))))))

rewrite72.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

59×	`add-sqr-sqrt_binary64`
47×	`*-un-lft-identity_binary64`
33×	`log-prod_binary64`
25×	`difference-of-squares_binary64`
16×	`times-frac_binary64`
12×	`distribute-lft-out--_binary64`
11×	`pow1_binary64` `associate--r+_binary64` `add-cube-cbrt_binary64` `associate--l+_binary64`
10×	`associate-l_binary64`
7×	`add-exp-log_binary64`
6×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `log-div_binary64`
5×	`flip3--_binary64` `log-pow_binary64` `flip--_binary64`
4×	`div-inv_binary64` `insert-posit16`
3×	`associate-r_binary64` `distribute-lft-neg-in_binary64` `distribute-rgt-neg-in_binary64`
2×	`sub-neg_binary64` `associate--l-_binary64` `diff-log_binary64` `associate--r-_binary64` `associate-*r/_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-unprod_binary64` `rem-log-exp_binary64` `distribute-lft-neg-out_binary64` `neg-mul-1_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `flip-+_binary64` `*-commutative_binary64`

Counts

4 → 117

Calls

4 calls:

32.0ms	(-.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)))))))
13.0ms	(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))
13.0ms	(log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s))))))
9.0ms	(.f64 (neg.f64 c_p) (+.f64 (.f64 t 1/2) (.f64 s (+.f64 -1/2 (.f64 s 1/8)))))

series582.0ms (1%)

Counts

4 → 12

Calls

4 calls:

243.0ms	(-.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)))))))
165.0ms	(log.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 s))))))
111.0ms	(.f64 (neg.f64 c_p) (+.f64 (.f64 t 1/2) (.f64 s (+.f64 -1/2 (.f64 s 1/8)))))
62.0ms	(-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 t)))))

simplify79.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5299	3742

prune336.0ms (0.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	129	0	129
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	129	2	131

Merged error: 0b

Counts

131 → 2

Compiler

Compiled 6166 to 4367 computations (29.2% saved)

regimes39.0ms (0.1%)

Compiler: Compiled 200 to 216 computations (-8% saved)

bsearch0.0ms (0%)

simplify11.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (7.0ms)

Iter	Nodes	Cost
0	219	60
1	219	60

end0.0ms (0%)

sample40.6s (71.8%)

Algorithm

1×

intervals

Results

26.0s	3854×	body	5120	exit
5.4s	2147×	body	1280	overflowed
3.5s	17212×	body	80	overflowed
2.6s	1907×	body	640	overflowed
825.0ms	1051×	body	320	overflowed
724.0ms	28654×	pre	80	true
253.0ms	1947×	body	80	valid
206.0ms	467×	body	160	overflowed
68.0ms	7×	body	5120	valid
30.0ms	13×	body	1280	valid
13.0ms	11×	body	640	valid
10.0ms	29×	body	160	valid
9.0ms	3×	body	2560	valid
2.0ms	4×	body	320	valid
0.0ms	2×	body	80	invalid

Compiler

Compiled 50 to 44 computations (12% saved)

Details

analyze4.5s (7.9%)

sample5.1s (9.1%)

simplify146.0ms (0.3%)

prune5.0ms (0%)

localize22.0ms (0%)

rewrite157.0ms (0.3%)

series1.7s (3%)

simplify246.0ms (0.4%)

prune1.6s (2.8%)

localize6.0ms (0%)

rewrite12.0ms (0%)

series73.0ms (0.1%)

simplify92.0ms (0.2%)

prune26.0ms (0%)

localize27.0ms (0%)

rewrite60.0ms (0.1%)

series565.0ms (1%)

simplify186.0ms (0.3%)

prune299.0ms (0.5%)

localize27.0ms (0%)

rewrite72.0ms (0.1%)

series582.0ms (1%)

simplify79.0ms (0.1%)

prune336.0ms (0.6%)

regimes39.0ms (0.1%)

bsearch0.0ms (0%)

simplify11.0ms (0%)

end0.0ms (0%)

sample40.6s (71.8%)

Profiling