Details

analyze149.0ms (2.5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	24.7%	75.3%	0
0%	24.7%	75.3%	1
0%	24.7%	75.3%	2
12.4%	12.4%	75.3%	3
12.4%	12.4%	75.3%	4
18.5%	6.2%	75.3%	5
18.5%	6.2%	75.3%	6
21.6%	3.1%	75.3%	7
21.6%	3.1%	75.3%	8
23.2%	1.5%	75.3%	9
23.2%	1.5%	75.3%	10
23.9%	0.8%	75.3%	11
23.9%	0.8%	75.3%	12
24.3%	0.4%	75.3%	13
24.3%	0.4%	75.3%	14

Compiler

Compiled 15 to 12 computations (20% saved)

sample33.0ms (0.5%)

Algorithm

1×

intervals

Results

12.0ms	256×	body	128	valid
4.0ms	256×	pre	128	true

Compiler

Compiled 28 to 23 computations (17.9% saved)

simplify103.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

863×	`exp-prod_binary32`
518×	`unswap-sqr_binary32`
383×	`div-exp_binary32`
340×	`times-frac_binary32`
333×	`associate-l_binary32`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	17	14
2	27	14
3	36	14
4	48	14
5	71	14
6	136	14
7	247	14
8	504	14
9	1622	14
10	3013	14
11	4342	14
12	4899	14
13	4958	14
14	5253	14

prune3.0ms (0%)

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

0.1b

Counts

1 → 1

Alt Table

Status	Error	Program
▶	0.1b	(/.f32 1 (+.f32 1 (exp.f32 (/.f32 (neg.f32 x) s))))

Compiler

Compiled 22 to 18 computations (18.2% saved)

localize23.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b	(+.f32 1 (exp.f32 (/.f32 (neg.f32 x) s)))
0.1b	(exp.f32 (/.f32 (neg.f32 x) s))
0.1b	(/.f32 1 (+.f32 1 (exp.f32 (/.f32 (neg.f32 x) s))))

rewrite183.0ms (3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

42×	`times-frac_binary32` `*-un-lft-identity_binary32`
34×	`exp-prod_binary32`
32×	`add-cube-cbrt_binary32` `add-sqr-sqrt_binary32`
9×	`distribute-rgt-neg-in_binary32` `distribute-lft-neg-in_binary32`
7×	`add-exp-log_binary32`

Counts

3 → 93

Calls

3 calls:

11.0ms	(/.f32 1 (+.f32 1 (exp.f32 (/.f32 (neg.f32 x) s))))
6.0ms	(+.f32 1 (exp.f32 (/.f32 (neg.f32 x) s)))
6.0ms	(exp.f32 (/.f32 (neg.f32 x) s))

Compiler

Compiled 1477 to 748 computations (49.4% saved)

series117.0ms (1.9%)

Error

0.0b

Counts

3 → 42

Calls

3 calls:

41.0ms	(/.f32 1 (+.f32 1 (exp.f32 (/.f32 (neg.f32 x) s))))
30.0ms	(+.f32 1 (exp.f32 (/.f32 (neg.f32 x) s)))
29.0ms	(exp.f32 (/.f32 (neg.f32 x) s))

Compiler

Compiled 955 to 768 computations (19.6% saved)

simplify143.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

679×	`cancel-sign-sub-inv_binary32`
303×	`associate-/l/_binary32`
253×	`associate-/r/_binary32`
235×	`neg-mul-1_binary32`
221×	`neg-sub0_binary32`

Counts

135 → 91

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	156	2047
1	315	1948
2	712	1915
3	2076	1879
4	4259	1877
5	4956	1877
6	4920	1877

prune77.0ms (1.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	88	3	91
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	89	3	92

Error

0.0b

Counts

92 → 3

Alt Table

Status	Error	Program
▶	0.1b	(/.f32 1 (+.f32 1 (pow.f32 E.f32 (/.f32 (neg.f32 x) s))))
	0.1b	(.f32 (.f32 (cbrt.f32 (/.f32 1 (+.f32 1 (exp.f32 (neg.f32 (/.f32 x s)))))) (cbrt.f32 (/.f32 1 (+.f32 1 (exp.f32 (neg.f32 (/.f32 x s))))))) (cbrt.f32 (/.f32 1 (+.f32 1 (exp.f32 (neg.f32 (/.f32 x s)))))))
	23.4b	(-.f32 (+.f32 1/2 (.f32 1/4 (/.f32 x s))) (.f32 1/48 (pow.f32 (/.f32 x s) 3)))

Compiler

Compiled 923 to 522 computations (43.4% saved)

localize26.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b	(+.f32 1 (pow.f32 E.f32 (/.f32 (neg.f32 x) s)))
0.1b	(/.f32 1 (+.f32 1 (pow.f32 E.f32 (/.f32 (neg.f32 x) s))))
0.1b	(pow.f32 E.f32 (/.f32 (neg.f32 x) s))

rewrite154.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

43×	`*-un-lft-identity_binary32`
42×	`times-frac_binary32`
34×	`pow-unpow_binary32`
33×	`add-cube-cbrt_binary32` `add-sqr-sqrt_binary32`
9×	`distribute-rgt-neg-in_binary32` `distribute-lft-neg-in_binary32`

Counts

3 → 100

Calls

3 calls:

6.0ms	(/.f32 1 (+.f32 1 (pow.f32 E.f32 (/.f32 (neg.f32 x) s))))
6.0ms	(pow.f32 E.f32 (/.f32 (neg.f32 x) s))
4.0ms	(+.f32 1 (pow.f32 E.f32 (/.f32 (neg.f32 x) s)))

Compiler

Compiled 1704 to 800 computations (53.1% saved)

series126.0ms (2.1%)

Error

0.0b

Counts

3 → 42

Calls

3 calls:

46.0ms	(/.f32 1 (+.f32 1 (pow.f32 E.f32 (/.f32 (neg.f32 x) s))))
33.0ms	(+.f32 1 (pow.f32 E.f32 (/.f32 (neg.f32 x) s)))
32.0ms	(pow.f32 E.f32 (/.f32 (neg.f32 x) s))

Compiler

Compiled 955 to 768 computations (19.6% saved)

simplify157.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

308×	`unswap-sqr_binary32`
281×	`sqr-pow_binary32`
255×	`associate-r_binary32`
223×	`associate-/l/_binary32`
217×	`times-frac_binary32` `associate-/l_binary32` `associate-l*_binary32`

Counts

142 → 100

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	170	2334
1	431	2123
2	1118	2090
3	3640	2082
4	4871	2082
5	4999	2082
6	4873	2082

prune81.0ms (1.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	99	1	100
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	99	4	103

Error

0.0b

Counts

103 → 4

Alt Table

Status	Error	Program
	10.2b	(.f32 (/.f32 1 (+.f32 1 (pow.f32 (exp.f32 (neg.f32 (/.f32 x s))) 3))) (+.f32 (.f32 1 1) (-.f32 (.f32 (pow.f32 E.f32 (/.f32 (neg.f32 x) s)) (pow.f32 E.f32 (/.f32 (neg.f32 x) s))) (.f32 1 (pow.f32 E.f32 (/.f32 (neg.f32 x) s))))))
✓	0.1b	(/.f32 1 (+.f32 1 (pow.f32 E.f32 (/.f32 (neg.f32 x) s))))
▶	0.1b	(.f32 (.f32 (cbrt.f32 (/.f32 1 (+.f32 1 (exp.f32 (neg.f32 (/.f32 x s)))))) (cbrt.f32 (/.f32 1 (+.f32 1 (exp.f32 (neg.f32 (/.f32 x s))))))) (cbrt.f32 (/.f32 1 (+.f32 1 (exp.f32 (neg.f32 (/.f32 x s)))))))
	23.4b	(-.f32 (+.f32 1/2 (.f32 1/4 (/.f32 x s))) (.f32 1/48 (pow.f32 (/.f32 x s) 3)))

Compiler

Compiled 1072 to 573 computations (46.5% saved)

localize41.0ms (0.7%)

Local error

Found 4 expressions with local error:

0.1b	(/.f32 1 (+.f32 1 (exp.f32 (neg.f32 (/.f32 x s)))))
0.1b	(cbrt.f32 (/.f32 1 (+.f32 1 (exp.f32 (neg.f32 (/.f32 x s))))))
0.1b	(cbrt.f32 (/.f32 1 (+.f32 1 (exp.f32 (neg.f32 (/.f32 x s))))))
0.1b	(cbrt.f32 (/.f32 1 (+.f32 1 (exp.f32 (neg.f32 (/.f32 x s))))))

rewrite302.0ms (5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

63×	`*-un-lft-identity_binary32`
54×	`cbrt-prod_binary32`
48×	`times-frac_binary32`
37×	`add-cube-cbrt_binary32` `add-sqr-sqrt_binary32`
13×	`distribute-lft-out_binary32`

Counts

4 → 118

Calls

4 calls:

10.0ms	(cbrt.f32 (/.f32 1 (+.f32 1 (exp.f32 (neg.f32 (/.f32 x s))))))
7.0ms	(/.f32 1 (+.f32 1 (exp.f32 (neg.f32 (/.f32 x s)))))
7.0ms	(cbrt.f32 (/.f32 1 (+.f32 1 (exp.f32 (neg.f32 (/.f32 x s))))))
7.0ms	(cbrt.f32 (/.f32 1 (+.f32 1 (exp.f32 (neg.f32 (/.f32 x s))))))

Compiler

Compiled 4355 to 2426 computations (44.3% saved)

series380.0ms (6.3%)

Error

0.0b

Counts

4 → 57

Calls

4 calls:

89.0ms	(cbrt.f32 (/.f32 1 (+.f32 1 (exp.f32 (neg.f32 (/.f32 x s))))))
87.0ms	(cbrt.f32 (/.f32 1 (+.f32 1 (exp.f32 (neg.f32 (/.f32 x s))))))
86.0ms	(cbrt.f32 (/.f32 1 (+.f32 1 (exp.f32 (neg.f32 (/.f32 x s))))))
63.0ms	(/.f32 1 (+.f32 1 (exp.f32 (neg.f32 (/.f32 x s)))))

Compiler

Compiled 3796 to 2696 computations (29% saved)

simplify250.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

428×	`distribute-rgt-neg-in_binary32`
391×	`unswap-sqr_binary32`
294×	`distribute-neg-frac_binary32`
276×	`associate-r_binary32`
255×	`times-frac_binary32` `associate-l_binary32`

Counts

175 → 137

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	102	4233
1	230	3972
2	615	3844
3	2819	3844
4	4709	3844
5	4930	3844
6	5000	3844
7	4901	3844

prune155.0ms (2.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	136	1	137
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	136	5	141

Error

0.0b

Counts

141 → 5

Alt Table

Status	Error	Program
	10.2b	(.f32 (/.f32 1 (+.f32 1 (pow.f32 (exp.f32 (neg.f32 (/.f32 x s))) 3))) (+.f32 (.f32 1 1) (-.f32 (.f32 (pow.f32 E.f32 (/.f32 (neg.f32 x) s)) (pow.f32 E.f32 (/.f32 (neg.f32 x) s))) (.f32 1 (pow.f32 E.f32 (/.f32 (neg.f32 x) s))))))
✓	0.1b	(/.f32 1 (+.f32 1 (pow.f32 E.f32 (/.f32 (neg.f32 x) s))))
▶	0.1b	(.f32 (.f32 (cbrt.f32 (/.f32 1 (+.f32 1 (exp.f32 (neg.f32 (/.f32 x s)))))) (cbrt.f32 (/.f32 1 (+.f32 1 (exp.f32 (neg.f32 (/.f32 x s))))))) (cbrt.f32 (*.f32 (pow.f32 (/.f32 1 (+.f32 1 (exp.f32 (neg.f32 (/.f32 x s))))) 2/3) (cbrt.f32 (/.f32 1 (+.f32 1 (exp.f32 (neg.f32 (/.f32 x s)))))))))
✓	0.1b	(.f32 (.f32 (cbrt.f32 (/.f32 1 (+.f32 1 (exp.f32 (neg.f32 (/.f32 x s)))))) (cbrt.f32 (/.f32 1 (+.f32 1 (exp.f32 (neg.f32 (/.f32 x s))))))) (cbrt.f32 (/.f32 1 (+.f32 1 (exp.f32 (neg.f32 (/.f32 x s)))))))
	23.4b	(-.f32 (+.f32 1/2 (.f32 1/4 (/.f32 x s))) (.f32 1/48 (pow.f32 (/.f32 x s) 3)))

Compiler

Compiled 2418 to 1357 computations (43.9% saved)

localize55.0ms (0.9%)

Local error

Found 4 expressions with local error:

0.1b	(cbrt.f32 (/.f32 1 (+.f32 1 (exp.f32 (neg.f32 (/.f32 x s))))))
0.1b	(cbrt.f32 (/.f32 1 (+.f32 1 (exp.f32 (neg.f32 (/.f32 x s))))))
0.1b	(cbrt.f32 (/.f32 1 (+.f32 1 (exp.f32 (neg.f32 (/.f32 x s))))))
0.1b	(cbrt.f32 (*.f32 (pow.f32 (/.f32 1 (+.f32 1 (exp.f32 (neg.f32 (/.f32 x s))))) 2/3) (cbrt.f32 (/.f32 1 (+.f32 1 (exp.f32 (neg.f32 (/.f32 x s))))))))

rewrite335.0ms (5.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

55×	`cbrt-prod_binary32`
46×	`*-un-lft-identity_binary32`
36×	`times-frac_binary32`
28×	`add-cube-cbrt_binary32` `add-sqr-sqrt_binary32`
9×	`distribute-lft-out_binary32`

Counts

4 → 91

Calls

4 calls:

20.0ms	(cbrt.f32 (*.f32 (pow.f32 (/.f32 1 (+.f32 1 (exp.f32 (neg.f32 (/.f32 x s))))) 2/3) (cbrt.f32 (/.f32 1 (+.f32 1 (exp.f32 (neg.f32 (/.f32 x s))))))))
7.0ms	(cbrt.f32 (/.f32 1 (+.f32 1 (exp.f32 (neg.f32 (/.f32 x s))))))
7.0ms	(cbrt.f32 (/.f32 1 (+.f32 1 (exp.f32 (neg.f32 (/.f32 x s))))))
7.0ms	(cbrt.f32 (/.f32 1 (+.f32 1 (exp.f32 (neg.f32 (/.f32 x s))))))

Compiler

Compiled 4589 to 2627 computations (42.8% saved)

series452.0ms (7.5%)

Error

0.0b

Counts

4 → 60

Calls

4 calls:

97.0ms	(cbrt.f32 (/.f32 1 (+.f32 1 (exp.f32 (neg.f32 (/.f32 x s))))))
96.0ms	(cbrt.f32 (/.f32 1 (+.f32 1 (exp.f32 (neg.f32 (/.f32 x s))))))
95.0ms	(cbrt.f32 (/.f32 1 (+.f32 1 (exp.f32 (neg.f32 (/.f32 x s))))))
89.0ms	(cbrt.f32 (*.f32 (pow.f32 (/.f32 1 (+.f32 1 (exp.f32 (neg.f32 (/.f32 x s))))) 2/3) (cbrt.f32 (/.f32 1 (+.f32 1 (exp.f32 (neg.f32 (/.f32 x s))))))))

Compiler

Compiled 4902 to 3425 computations (30.1% saved)

simplify165.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

710×	`cancel-sign-sub-inv_binary32`
370×	`neg-mul-1_binary32`
365×	`neg-sub0_binary32`
350×	`distribute-rgt-neg-in_binary32`
339×	`distribute-lft-neg-in_binary32`

Counts

151 → 123

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	96	3897
1	177	3738
2	464	3586
3	1966	3466
4	4275	3466
5	5105	3466

prune151.0ms (2.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	122	1	123
Fresh	0	2	2
Picked	1	0	1
Done	0	2	2
Total	123	5	128

Error

0.0b

Counts

128 → 5

Alt Table

Status	Error	Program
	0.1b	(.f32 (.f32 (cbrt.f32 (/.f32 1 (+.f32 1 (exp.f32 (neg.f32 (/.f32 x s)))))) (/.f32 1 (cbrt.f32 (+.f32 1 (exp.f32 (neg.f32 (/.f32 x s))))))) (cbrt.f32 (*.f32 (pow.f32 (/.f32 1 (+.f32 1 (exp.f32 (neg.f32 (/.f32 x s))))) 2/3) (cbrt.f32 (/.f32 1 (+.f32 1 (exp.f32 (neg.f32 (/.f32 x s)))))))))
	10.2b	(.f32 (/.f32 1 (+.f32 1 (pow.f32 (exp.f32 (neg.f32 (/.f32 x s))) 3))) (+.f32 (.f32 1 1) (-.f32 (.f32 (pow.f32 E.f32 (/.f32 (neg.f32 x) s)) (pow.f32 E.f32 (/.f32 (neg.f32 x) s))) (.f32 1 (pow.f32 E.f32 (/.f32 (neg.f32 x) s))))))
	0.1b	(/.f32 1 (+.f32 1 (pow.f32 E.f32 (/.f32 (neg.f32 x) s))))
	0.1b	(.f32 (.f32 (cbrt.f32 (/.f32 1 (+.f32 1 (exp.f32 (neg.f32 (/.f32 x s)))))) (cbrt.f32 (/.f32 1 (+.f32 1 (exp.f32 (neg.f32 (/.f32 x s))))))) (cbrt.f32 (/.f32 1 (+.f32 1 (exp.f32 (neg.f32 (/.f32 x s)))))))
	23.4b	(-.f32 (+.f32 1/2 (.f32 1/4 (/.f32 x s))) (.f32 1/48 (pow.f32 (/.f32 x s) 3)))

Compiler

Compiled 2520 to 1459 computations (42.1% saved)

regimes1.1s (17.7%)

Accuracy

Total 0.0b remaining (64.1%)

Threshold costs 0.0b (64.1%)

Compiler

Compiled 10824 to 7983 computations (26.2% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative_binary32`
3×	`neg-mul-1_binary32` `neg-sub0_binary32` `sub-neg_binary32` `*-commutative_binary32`
1×	`1-exp_binary32` `distribute-neg-frac_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	17
1	21	17
2	27	17
3	31	17
4	32	17
5	31	17

end1.0ms (0%)

Compiler: Compiled 12 to 10 computations (16.7% saved)

sample1.3s (21.8%)

Algorithm

1×

intervals

Results

407.0ms	8000×	body	128	valid
124.0ms	8000×	pre	128	true

Compiler

Compiled 179 to 122 computations (31.8% saved)

Details

analyze149.0ms (2.5%)

sample33.0ms (0.5%)

simplify103.0ms (1.7%)

prune3.0ms (0%)

localize23.0ms (0.4%)

rewrite183.0ms (3%)

series117.0ms (1.9%)

simplify143.0ms (2.4%)

prune77.0ms (1.3%)

localize26.0ms (0.4%)

rewrite154.0ms (2.5%)

series126.0ms (2.1%)

simplify157.0ms (2.6%)

prune81.0ms (1.3%)

localize41.0ms (0.7%)

rewrite302.0ms (5%)

series380.0ms (6.3%)

simplify250.0ms (4.1%)

prune155.0ms (2.6%)

localize55.0ms (0.9%)

rewrite335.0ms (5.5%)

series452.0ms (7.5%)

simplify165.0ms (2.7%)

prune151.0ms (2.5%)

regimes1.1s (17.7%)

simplify3.0ms (0.1%)

end1.0ms (0%)

sample1.3s (21.8%)

Profiling