Details

analyze362.0ms (9%)

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
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
37.4%	62.4%	0.1%	6
49.9%	49.9%	0.1%	7
62.4%	37.4%	0.1%	8
62.4%	37.4%	0.1%	9
71.8%	28.1%	0.1%	10
79.6%	20.3%	0.1%	11
79.6%	20.3%	0.1%	12
85%	14.8%	0.1%	13
89.3%	10.5%	0.1%	14

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample67.0ms (1.7%)

Algorithm

1×

intervals

Results

32.0ms	58×	body	1024	valid
16.0ms	153×	body	128	valid
7.0ms	32×	body	512	valid
2.0ms	13×	body	256	valid

Compiler

Compiled 28 to 20 computations (28.6% saved)

simplify15.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

36×	`cancel-sign-sub-inv_binary64`
23×	`distribute-rgt-neg-in_binary64`
23×	`sub-neg_binary64`
19×	`unsub-neg_binary64`
17×	`neg-mul-1_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	16	14
2	26	14
3	38	14
4	55	14
5	79	14
6	114	14
7	163	14
8	190	14
9	192	14
10	190	14
11	159	14

prune1.0ms (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	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))

Compiler

Compiled 24 to 16 computations (33.3% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
0.1b	(*.f64 x (cos.f64 y))
0.1b	(*.f64 z (sin.f64 y))

rewrite44.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

11×	`add-sqr-sqrt_binary64`
7×	`*-un-lft-identity_binary64`
7×	`add-cube-cbrt_binary64`
7×	`add-cbrt-cube_binary64`
7×	`add-exp-log_binary64`

Counts

3 → 48

Calls

3 calls:

3.0ms	(*.f64 z (sin.f64 y))
3.0ms	(*.f64 x (cos.f64 y))
3.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))

Compiler

Compiled 700 to 167 computations (76.1% saved)

series72.0ms (1.8%)

Error

0.1b

Counts

3 → 36

Calls

3 calls:

33.0ms	(-.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
16.0ms	(*.f64 x (cos.f64 y))
13.0ms	(*.f64 z (sin.f64 y))

Compiler

Compiled 940 to 600 computations (36.2% saved)

simplify100.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

394×	`sub-neg_binary64`
388×	`times-frac_binary64`
271×	`distribute-rgt-neg-in_binary64`
255×	`*-commutative_binary64`
239×	`cancel-sign-sub-inv_binary64`

Counts

84 → 45

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	132	1042
1	322	998
2	956	983
3	1772	983
4	3416	983
5	4423	983
6	4923	983

prune48.0ms (1.2%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	36	9	45
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	37	9	46

Error

0.0b

Counts

46 → 9

Alt Table

Status	Error	Program
	34.2b	(.f64 (sqrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 (sin.f64 y) z))) (sqrt.f64 (-.f64 (.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))))
	31.6b	(-.f64 (.f64 (sqrt.f64 x) (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 z (sin.f64 y)))
	0.8b	(-.f64 (.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (cos.f64 y) (cbrt.f64 x))) (.f64 z (sin.f64 y)))
	0.9b	(-.f64 (.f64 (.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) (cbrt.f64 (.f64 (cos.f64 y) x))) (cbrt.f64 (.f64 (cos.f64 y) x))) (.f64 z (sin.f64 y)))
	28.5b	(-.f64 (cbrt.f64 (pow.f64 (.f64 (cos.f64 y) x) 3)) (.f64 z (sin.f64 y)))
	35.3b	(-.f64 (.f64 x (cos.f64 y)) (.f64 (sqrt.f64 z) (*.f64 (sin.f64 y) (sqrt.f64 z))))
▶	0.6b	(-.f64 (.f64 x (cos.f64 y)) (.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (.f64 (sin.f64 y) (cbrt.f64 z))))
	22.7b	(-.f64 (.f64 x (cos.f64 y)) (.f64 (sqrt.f64 (.f64 (sin.f64 y) z)) (sqrt.f64 (.f64 (sin.f64 y) z))))
	0.6b	(-.f64 (.f64 x (cos.f64 y)) (.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 y) z)) (cbrt.f64 (.f64 (sin.f64 y) z))) (cbrt.f64 (.f64 (sin.f64 y) z))))

Compiler

Compiled 935 to 376 computations (59.8% saved)

localize22.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)

rewrite66.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
15×	`*-un-lft-identity_binary64`
15×	`add-cube-cbrt_binary64`
11×	`pow1_binary64`

Counts

4 → 73

Calls

4 calls:

7.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)

Compiler

Compiled 1422 to 304 computations (78.6% saved)

series64.0ms (1.6%)

Error

0.0b

Counts

4 → 12

Calls

4 calls:

19.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
16.0ms	(cbrt.f64 z)
12.0ms	(cbrt.f64 z)
12.0ms	(cbrt.f64 z)

Compiler

Compiled 671 to 429 computations (36.1% saved)

simplify89.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

735×	`log-prod_binary64`
577×	`distribute-rgt-in_binary64`
538×	`distribute-lft-in_binary64`
525×	`unswap-sqr_binary64`
287×	`associate-l_binary64`

Counts

85 → 64

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	54	624
1	94	576
2	292	556
3	763	542
4	1759	418
5	4280	418
6	4543	418
7	4810	418

prune31.0ms (0.8%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	62	2	64
Fresh	1	7	8
Picked	0	1	1
Done	0	0	0
Total	63	10	73

Error

0.0b

Counts

73 → 10

Alt Table

Status	Error	Program
	34.2b	(.f64 (sqrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 (sin.f64 y) z))) (sqrt.f64 (-.f64 (.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))))
	0.9b	(-.f64 (.f64 x (cos.f64 y)) (.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 5) (cbrt.f64 (cbrt.f64 z))) (.f64 (sin.f64 y) (cbrt.f64 z))))
	35.3b	(-.f64 (.f64 x (cos.f64 y)) (.f64 (.f64 (cbrt.f64 (sqrt.f64 z)) (sqrt.f64 z)) (.f64 (sin.f64 y) (cbrt.f64 z))))
	31.6b	(-.f64 (.f64 (sqrt.f64 x) (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 z (sin.f64 y)))
▶	0.8b	(-.f64 (.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (cos.f64 y) (cbrt.f64 x))) (.f64 z (sin.f64 y)))
	0.9b	(-.f64 (.f64 (.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) (cbrt.f64 (.f64 (cos.f64 y) x))) (cbrt.f64 (.f64 (cos.f64 y) x))) (.f64 z (sin.f64 y)))
	28.5b	(-.f64 (cbrt.f64 (pow.f64 (.f64 (cos.f64 y) x) 3)) (.f64 z (sin.f64 y)))
	35.3b	(-.f64 (.f64 x (cos.f64 y)) (.f64 (sqrt.f64 z) (*.f64 (sin.f64 y) (sqrt.f64 z))))
✓	0.6b	(-.f64 (.f64 x (cos.f64 y)) (.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (.f64 (sin.f64 y) (cbrt.f64 z))))
	22.7b	(-.f64 (.f64 x (cos.f64 y)) (.f64 (sqrt.f64 (.f64 (sin.f64 y) z)) (sqrt.f64 (.f64 (sin.f64 y) z))))

Compiler

Compiled 935 to 395 computations (57.8% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)

rewrite55.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
15×	`*-un-lft-identity_binary64`
15×	`add-cube-cbrt_binary64`
11×	`pow1_binary64`

Counts

4 → 73

Calls

4 calls:

7.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

Compiler

Compiled 1422 to 304 computations (78.6% saved)

series73.0ms (1.8%)

Error

0.0b

Counts

4 → 12

Calls

4 calls:

23.0ms	(cbrt.f64 x)
15.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
12.0ms	(cbrt.f64 x)
12.0ms	(cbrt.f64 x)

Compiler

Compiled 671 to 429 computations (36.1% saved)

simplify87.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

735×	`log-prod_binary64`
577×	`distribute-rgt-in_binary64`
538×	`distribute-lft-in_binary64`
525×	`unswap-sqr_binary64`
287×	`associate-l_binary64`

Counts

85 → 64

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	54	624
1	94	576
2	292	556
3	763	542
4	1759	418
5	4280	418
6	4543	418
7	4810	418

prune29.0ms (0.7%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	63	1	64
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	63	11	74

Error

0.0b

Counts

74 → 11

Alt Table

Status	Error	Program
	34.2b	(.f64 (sqrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 (sin.f64 y) z))) (sqrt.f64 (-.f64 (.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))))
▶	0.9b	(-.f64 (.f64 x (cos.f64 y)) (.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 5) (cbrt.f64 (cbrt.f64 z))) (.f64 (sin.f64 y) (cbrt.f64 z))))
	31.6b	(-.f64 (.f64 (sqrt.f64 x) (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 z (sin.f64 y)))
	31.6b	(-.f64 (.f64 (.f64 (cbrt.f64 (sqrt.f64 x)) (sqrt.f64 x)) (.f64 (cos.f64 y) (cbrt.f64 x))) (.f64 z (sin.f64 y)))
	35.3b	(-.f64 (.f64 x (cos.f64 y)) (.f64 (.f64 (cbrt.f64 (sqrt.f64 z)) (sqrt.f64 z)) (.f64 (sin.f64 y) (cbrt.f64 z))))
✓	0.8b	(-.f64 (.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (cos.f64 y) (cbrt.f64 x))) (.f64 z (sin.f64 y)))
	0.9b	(-.f64 (.f64 (.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) (cbrt.f64 (.f64 (cos.f64 y) x))) (cbrt.f64 (.f64 (cos.f64 y) x))) (.f64 z (sin.f64 y)))
	28.5b	(-.f64 (cbrt.f64 (pow.f64 (.f64 (cos.f64 y) x) 3)) (.f64 z (sin.f64 y)))
	35.3b	(-.f64 (.f64 x (cos.f64 y)) (.f64 (sqrt.f64 z) (*.f64 (sin.f64 y) (sqrt.f64 z))))
✓	0.6b	(-.f64 (.f64 x (cos.f64 y)) (.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (.f64 (sin.f64 y) (cbrt.f64 z))))
	22.7b	(-.f64 (.f64 x (cos.f64 y)) (.f64 (sqrt.f64 (.f64 (sin.f64 y) z)) (sqrt.f64 (.f64 (sin.f64 y) z))))

Compiler

Compiled 956 to 410 computations (57.1% saved)

localize20.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 (cbrt.f64 z))
0.6b	(cbrt.f64 (cbrt.f64 z))
1.1b	(pow.f64 (cbrt.f64 (cbrt.f64 z)) 5)

rewrite65.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

30×	`cbrt-prod_binary64`
13×	`*-un-lft-identity_binary64`
13×	`add-sqr-sqrt_binary64`
13×	`add-cube-cbrt_binary64`
9×	`unpow-prod-down_binary64`

Counts

4 → 63

Calls

4 calls:

3.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 z)) 5)
1.0ms	(cbrt.f64 (cbrt.f64 z))
1.0ms	(cbrt.f64 (cbrt.f64 z))
1.0ms	(cbrt.f64 z)

Compiler

Compiled 1531 to 473 computations (69.1% saved)

series93.0ms (2.3%)

Error

0.0b

Counts

4 → 12

Calls

4 calls:

30.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 z)) 5)
21.0ms	(cbrt.f64 (cbrt.f64 z))
18.0ms	(cbrt.f64 (cbrt.f64 z))
18.0ms	(cbrt.f64 z)

Compiler

Compiled 807 to 541 computations (33% saved)

simplify85.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

584×	`log-prod_binary64`
578×	`distribute-rgt-in_binary64`
505×	`unswap-sqr_binary64`
401×	`*-commutative_binary64`
381×	`distribute-rgt-neg-in_binary64`

Counts

75 → 45

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	75	764
1	147	725
2	349	725
3	1141	709
4	2261	669
5	4594	666
6	4947	666

prune24.0ms (0.6%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	45	0	45
Fresh	0	8	8
Picked	0	1	1
Done	0	2	2
Total	45	11	56

Error

0.0b

Counts

56 → 11

Alt Table

Status	Error	Program
	34.2b	(.f64 (sqrt.f64 (-.f64 (.f64 (cos.f64 y) x) (.f64 (sin.f64 y) z))) (sqrt.f64 (-.f64 (.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z))))
	0.9b	(-.f64 (.f64 x (cos.f64 y)) (.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) 5) (cbrt.f64 (cbrt.f64 z))) (.f64 (sin.f64 y) (cbrt.f64 z))))
	31.6b	(-.f64 (.f64 (sqrt.f64 x) (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 z (sin.f64 y)))
	31.6b	(-.f64 (.f64 (.f64 (cbrt.f64 (sqrt.f64 x)) (sqrt.f64 x)) (.f64 (cos.f64 y) (cbrt.f64 x))) (.f64 z (sin.f64 y)))
	35.3b	(-.f64 (.f64 x (cos.f64 y)) (.f64 (.f64 (cbrt.f64 (sqrt.f64 z)) (sqrt.f64 z)) (.f64 (sin.f64 y) (cbrt.f64 z))))
	0.8b	(-.f64 (.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (cos.f64 y) (cbrt.f64 x))) (.f64 z (sin.f64 y)))
	0.9b	(-.f64 (.f64 (.f64 (cbrt.f64 (.f64 (cos.f64 y) x)) (cbrt.f64 (.f64 (cos.f64 y) x))) (cbrt.f64 (.f64 (cos.f64 y) x))) (.f64 z (sin.f64 y)))
	28.5b	(-.f64 (cbrt.f64 (pow.f64 (.f64 (cos.f64 y) x) 3)) (.f64 z (sin.f64 y)))
	35.3b	(-.f64 (.f64 x (cos.f64 y)) (.f64 (sqrt.f64 z) (*.f64 (sin.f64 y) (sqrt.f64 z))))
	0.6b	(-.f64 (.f64 x (cos.f64 y)) (.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (.f64 (sin.f64 y) (cbrt.f64 z))))
	22.7b	(-.f64 (.f64 x (cos.f64 y)) (.f64 (sqrt.f64 (.f64 (sin.f64 y) z)) (sqrt.f64 (.f64 (sin.f64 y) z))))

Compiler

Compiled 700 to 318 computations (54.6% saved)

regimes261.0ms (6.5%)

Accuracy

Total 0.1b remaining (54.8%)

Threshold costs 0.1b (54.8%)

Compiler

Compiled 4280 to 2546 computations (40.5% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64`
4×	`+-commutative_binary64`
3×	`sub-neg_binary64`
3×	`neg-sub0_binary64`
3×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	14
1	22	14
2	30	14
3	35	14
4	37	14
5	37	14

end0.0ms (0%)

Compiler: Compiled 12 to 8 computations (33.3% saved)

sample2.2s (55.4%)

Algorithm

1×

intervals

Results

1.0s	1933×	body	1024	valid
417.0ms	4469×	body	128	valid
262.0ms	1058×	body	512	valid
90.0ms	535×	body	256	valid
6.0ms	5×	body	2048	valid

Compiler

Compiled 244 to 144 computations (41% saved)

Iter	Nodes	Cost
0	9	14
1	16	14
2	26	14
3	38	14
4	55	14
5	79	14
6	114	14
7	163	14
8	190	14
9	192	14
10	190	14
11	159	14

Iter	Nodes	Cost
0	9	14
1	16	14
2	26	14
3	38	14
4	55	14
5	79	14
6	114	14
7	163	14
8	190	14
9	192	14
10	190	14
11	159	14

Details

analyze362.0ms (9%)

sample67.0ms (1.7%)

simplify15.0ms (0.4%)

prune1.0ms (0%)

localize9.0ms (0.2%)

rewrite44.0ms (1.1%)

series72.0ms (1.8%)

simplify100.0ms (2.5%)

prune48.0ms (1.2%)

localize22.0ms (0.5%)

rewrite66.0ms (1.6%)

series64.0ms (1.6%)

simplify89.0ms (2.2%)

prune31.0ms (0.8%)

localize11.0ms (0.3%)

rewrite55.0ms (1.4%)

series73.0ms (1.8%)

simplify87.0ms (2.2%)

prune29.0ms (0.7%)

localize20.0ms (0.5%)

rewrite65.0ms (1.6%)

series93.0ms (2.3%)

simplify85.0ms (2.1%)

prune24.0ms (0.6%)

regimes261.0ms (6.5%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample2.2s (55.4%)

Profiling

Iter	Nodes	Cost
0	9	14
1	16	14
2	26	14
3	38	14
4	55	14
5	79	14
6	114	14
7	163	14
8	190	14
9	192	14
10	190	14
11	159	14