Details

analyze74.0ms (2.6%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	25%	25%	4
50%	12.5%	37.5%	5
50%	6.2%	43.8%	6
50%	3.1%	46.9%	7
50%	1.6%	48.5%	8
50%	0.8%	49.2%	9
50.4%	0.4%	49.2%	10
50.4%	0.2%	49.4%	11
50.4%	0.1%	49.5%	12
50.4%	0%	49.6%	13
50.4%	0%	49.6%	14

Compiler

Compiled 10 to 8 computations (20% saved)

sample55.0ms (1.9%)

Algorithm

1×

intervals

Results

32.0ms	126×	body	1024	valid
8.0ms	69×	body	512	valid
3.0ms	11×	body	2048	valid
2.0ms	28×	body	256	valid
1.0ms	22×	body	128	valid

Compiler

Compiled 20 to 16 computations (20% saved)

simplify60.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

725×	`div-sub_binary64`
524×	`cancel-sign-sub-inv_binary64`
510×	`associate-/l*_binary64`
425×	`times-frac_binary64`
418×	`associate-/r/_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	19	13
2	33	13
3	56	13
4	105	13
5	206	13
6	467	13
7	1187	13
8	2763	13
9	4552	13
10	5268	13

prune5.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	0	0
Total	1	1

Error

57.6b

Counts

1 → 1

Alt Table

Status	Error	Program
▶	57.6b	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)

Compiler

Compiled 18 to 14 computations (22.2% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

5.5b	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

rewrite15.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

4×	`add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
3×	`add-log-exp_binary64` `cancel-sign-sub-inv_binary64`
2×	`add-cube-cbrt_binary64`
1×	`sinh-undef_binary64` `diff-log_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip3--_binary64` `sub-neg_binary64` `flip--_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`

Counts

1 → 17

Calls

1 calls:

5.0ms

(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Compiler

Compiled 252 to 93 computations (63.1% saved)

series16.0ms (0.6%)

Error

0.0b

Counts

1 → 6

Calls

1 calls:

8.0ms

(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Compiler

Compiled 172 to 139 computations (19.2% saved)

simplify69.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

576×	`associate-/l*_binary64`
514×	`div-sub_binary64`
337×	`unsub-neg_binary64`
234×	`times-frac_binary64`
233×	`distribute-rgt-in_binary64`

Counts

23 → 14

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	64	360
1	146	323
2	324	321
3	912	321
4	2167	319
5	4274	319
6	4892	319

prune18.0ms (0.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	12	2	14
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	12	3	15

Error

Counts

15 → 3

Alt Table

Status	Error	Program
	58.6b	(/.f64 (log.f64 (exp.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) 2)
✓	57.6b	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
▶	1.0b	(/.f64 (+.f64 (+.f64 x x) (+.f64 (+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 1/60 (pow.f64 x 5))) (*.f64 1/2520 (pow.f64 x 7)))) 2)

Compiler

Compiled 234 to 157 computations (32.9% saved)

localize14.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 1/60 (pow.f64 x 5))) (*.f64 1/2520 (pow.f64 x 7)))
0.1b	(*.f64 1/2520 (pow.f64 x 7))
0.1b	(*.f64 1/60 (pow.f64 x 5))
0.1b	(*.f64 1/3 (pow.f64 x 3))

rewrite144.0ms (5.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

31×	`add-sqr-sqrt_binary64`
26×	`associate-r_binary64`
19×	`add-exp-log_binary64`
14×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
12×	`unpow-prod-down_binary64`

Counts

4 → 94

Calls

4 calls:

8.0ms	(+.f64 (+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 1/60 (pow.f64 x 5))) (*.f64 1/2520 (pow.f64 x 7)))
7.0ms	(*.f64 1/3 (pow.f64 x 3))
5.0ms	(*.f64 1/60 (pow.f64 x 5))
5.0ms	(*.f64 1/2520 (pow.f64 x 7))

Compiler

Compiled 2598 to 1986 computations (23.6% saved)

series54.0ms (1.9%)

Error

Counts

4 → 14

Calls

4 calls:

16.0ms	(+.f64 (+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 1/60 (pow.f64 x 5))) (*.f64 1/2520 (pow.f64 x 7)))
14.0ms	(*.f64 1/2520 (pow.f64 x 7))
11.0ms	(*.f64 1/60 (pow.f64 x 5))
10.0ms	(*.f64 1/3 (pow.f64 x 3))

Compiler

Compiled 656 to 511 computations (22.1% saved)

simplify123.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

608×	`unswap-sqr_binary64`
388×	`*-commutative_binary64`
374×	`log-prod_binary64`
280×	`distribute-rgt-in_binary64`
265×	`distribute-lft-in_binary64`

Counts

108 → 60

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	170	1508
1	363	1405
2	1014	1350
3	2399	1350
4	4294	1340
5	4923	1340
6	4965	1340

prune51.0ms (1.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	60	0	60
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	60	3	63

Error

Counts

63 → 3

Alt Table

Status	Error	Program
▶	58.6b	(/.f64 (log.f64 (exp.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) 2)
✓	57.6b	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
✓	1.0b	(/.f64 (+.f64 (+.f64 x x) (+.f64 (+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 1/60 (pow.f64 x 5))) (*.f64 1/2520 (pow.f64 x 7)))) 2)

Compiler

Compiled 1195 to 909 computations (23.9% saved)

localize8.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(exp.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
5.4b	(log.f64 (exp.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
5.5b	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

rewrite48.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

15×	`add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
12×	`exp-prod_binary64`
9×	`add-cube-cbrt_binary64` `cancel-sign-sub-inv_binary64`
8×	`add-log-exp_binary64` `exp-sum_binary64`
7×	`log-pow_binary64` `log-prod_binary64`

Counts

3 → 60

Calls

3 calls:

6.0ms	(log.f64 (exp.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
6.0ms	(exp.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
5.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Compiler

Compiled 930 to 302 computations (67.5% saved)

series50.0ms (1.8%)

Error

Counts

3 → 18

Calls

3 calls:

21.0ms	(log.f64 (exp.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
12.0ms	(exp.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
9.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Compiler

Compiled 504 to 423 computations (16.1% saved)

simplify110.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

393×	`unsub-neg_binary64`
300×	`distribute-rgt-in_binary64`
266×	`associate-+l+_binary64`
254×	`*-commutative_binary64`
249×	`distribute-lft-in_binary64`

Counts

78 → 52

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	115	1114
1	217	1006
2	487	1004
3	1342	1001
4	3680	997
5	4932	997
6	4890	997

prune23.0ms (0.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	52	0	52
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	52	3	55

Error

Counts

55 → 3

Alt Table

Status	Error	Program
	58.6b	(/.f64 (log.f64 (exp.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) 2)
	57.6b	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
	1.0b	(/.f64 (+.f64 (+.f64 x x) (+.f64 (+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 1/60 (pow.f64 x 5))) (*.f64 1/2520 (pow.f64 x 7)))) 2)

Compiler

Compiled 553 to 301 computations (45.6% saved)

regimes75.0ms (2.7%)

Accuracy

Total 0.0b remaining (46.5%)

Threshold costs 0.0b (46.5%)

Compiler

Compiled 835 to 637 computations (23.7% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	9	13
2	9	13

end1.0ms (0%)

Compiler: Compiled 9 to 8 computations (11.1% saved)

sample1.8s (63.8%)

Algorithm

1×

intervals

Results

1.0s	4004×	body	1024	valid
245.0ms	1943×	body	512	valid
115.0ms	414×	body	2048	valid
79.0ms	985×	body	256	valid
28.0ms	654×	body	128	valid

Compiler

Compiled 64 to 52 computations (18.8% saved)

Details

analyze74.0ms (2.6%)

sample55.0ms (1.9%)

simplify60.0ms (2.1%)

prune5.0ms (0.2%)

localize6.0ms (0.2%)

rewrite15.0ms (0.5%)

series16.0ms (0.6%)

simplify69.0ms (2.5%)

prune18.0ms (0.6%)

localize14.0ms (0.5%)

rewrite144.0ms (5.1%)

series54.0ms (1.9%)

simplify123.0ms (4.4%)

prune51.0ms (1.8%)

localize8.0ms (0.3%)

rewrite48.0ms (1.7%)

series50.0ms (1.8%)

simplify110.0ms (3.9%)

prune23.0ms (0.8%)

regimes75.0ms (2.7%)

simplify3.0ms (0.1%)

end1.0ms (0%)

sample1.8s (63.8%)

Profiling