Details

analyze29.0ms (0.9%)

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
50%	50%	0.1%	3
50%	50%	0.1%	4
74.9%	25%	0.1%	5
74.9%	25%	0.1%	6
87.4%	12.5%	0.1%	7
87.4%	12.5%	0.1%	8
93.7%	6.2%	0.1%	9
93.7%	6.2%	0.1%	10
96.8%	3.1%	0.1%	11
96.8%	3.1%	0.1%	12
98.3%	1.6%	0.1%	13
98.3%	1.6%	0.1%	14

Compiler

Compiled 7 to 7 computations (0% saved)

sample13.0ms (0.4%)

Algorithm

1×

intervals

Results

7.0ms

256×

body

128

valid

Compiler

Compiled 13 to 15 computations (-15.4% saved)

simplify163.0ms (4.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	12	9
1	12	9

prune2.0ms (0.1%)

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: 16.1b

Counts

2 → 1

Compiler

Compiled 12 to 12 computations (0% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.2b	(/.f64 g (*.f64 2 a))
15.6b	(cbrt.f64 (/.f64 g (*.f64 2 a)))

rewrite10.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`cbrt-prod_binary64_1453` `add-cbrt-cube_binary64_1458` `add-exp-log_binary64_1460`
6×	`times-frac_binary64_1431` `add-cube-cbrt_binary64_1457` `add-sqr-sqrt_binary64_1446` `*-un-lft-identity_binary64_1425`
3×	`associate-/l*_binary64_1372`
2×	`div-inv_binary64_1422` `div-exp_binary64_1473` `pow1_binary64_1483` `cbrt-undiv_binary64_1456` `add-log-exp_binary64_1461`
1×	`frac-2neg_binary64_1436` `associate-/r*_binary64_1371` `prod-exp_binary64_1471` `cbrt-div_binary64_1454` `cbrt-unprod_binary64_1455` `clear-num_binary64_1424` `pow1/3_binary64_1504`

Counts

2 → 37

Calls

2 calls:

4.0ms	(/.f64 g (*.f64 2 a))
4.0ms	(cbrt.f64 (/.f64 g (*.f64 2 a)))

series165.0ms (4.8%)

Counts

2 → 6

Calls

2 calls:

138.0ms	(cbrt.f64 (/.f64 g (*.f64 2 a)))
27.0ms	(/.f64 g (*.f64 2 a))

simplify60.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4929	462
1	4929	462

prune43.0ms (1.3%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	34	9	43
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	34	10	44

Merged error: 0.1b

Counts

44 → 10

Compiler

Compiled 521 to 358 computations (31.3% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.3b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
0.6b	(cbrt.f64 (/.f64 1/2 a))
0.6b	(cbrt.f64 g)

rewrite20.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

39×	`cbrt-prod_binary64_1453`
35×	`add-sqr-sqrt_binary64_1446`
21×	`add-cube-cbrt_binary64_1457` `*-un-lft-identity_binary64_1425`
20×	`times-frac_binary64_1431`
16×	`associate-r_binary64_1367`
6×	`unswap-sqr_binary64_1393` `associate-l_binary64_1368`
5×	`pow1_binary64_1483` `add-exp-log_binary64_1460`
4×	`pow1/3_binary64_1504`
3×	`add-cbrt-cube_binary64_1458` `add-log-exp_binary64_1461`
2×	`cbrt-div_binary64_1454` `div-inv_binary64_1422` `pow-prod-down_binary64_1493`
1×	`prod-exp_binary64_1471` `cbrt-unprod_binary64_1455` `associate-r/_binary64_1369` `-commutative_binary64_1358`

Counts

3 → 74

Calls

3 calls:

9.0ms	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
4.0ms	(cbrt.f64 (/.f64 1/2 a))
1.0ms	(cbrt.f64 g)

series490.0ms (14.4%)

Counts

3 → 9

Calls

3 calls:

178.0ms	(cbrt.f64 (/.f64 1/2 a))
165.0ms	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
147.0ms	(cbrt.f64 g)

simplify117.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (102.0ms)

Iter	Nodes	Cost
0	4774	1045
1	4774	1045

prune86.0ms (2.5%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	75	8	83
Fresh	2	6	8
Picked	0	1	1
Done	1	0	1
Total	78	15	93

Merged error: 0.0b

Counts

93 → 15

Compiler

Compiled 1193 to 803 computations (32.7% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.4b	(.f64 (.f64 (cbrt.f64 g) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (/.f64 (sqrt.f64 1/2) a)))
0.6b	(cbrt.f64 (/.f64 (sqrt.f64 1/2) a))
0.6b	(cbrt.f64 g)
1.0b	(cbrt.f64 (sqrt.f64 1/2))

rewrite28.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

53×	`cbrt-prod_binary64_1453`
36×	`times-frac_binary64_1431`
34×	`add-cube-cbrt_binary64_1457` `add-sqr-sqrt_binary64_1446` `*-un-lft-identity_binary64_1425`
25×	`associate-r_binary64_1367`
21×	`sqrt-prod_binary64_1440`
9×	`pow1_binary64_1483` `add-exp-log_binary64_1460`
6×	`pow1/3_binary64_1504`
5×	`add-cbrt-cube_binary64_1458` `pow-prod-down_binary64_1493`
4×	`add-log-exp_binary64_1461`
3×	`prod-exp_binary64_1471` `cbrt-unprod_binary64_1455`
2×	`cbrt-div_binary64_1454` `div-inv_binary64_1422`
1×	`associate-l_binary64_1368` `associate-r/_binary64_1369` `-commutative_binary64_1358`

Counts

4 → 98

Calls

4 calls:

13.0ms	(.f64 (.f64 (cbrt.f64 g) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (/.f64 (sqrt.f64 1/2) a)))
4.0ms	(cbrt.f64 (/.f64 (sqrt.f64 1/2) a))
2.0ms	(cbrt.f64 (sqrt.f64 1/2))
1.0ms	(cbrt.f64 g)

series627.0ms (18.4%)

Counts

4 → 10

Calls

4 calls:

244.0ms	(.f64 (.f64 (cbrt.f64 g) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (/.f64 (sqrt.f64 1/2) a)))
229.0ms	(cbrt.f64 (/.f64 (sqrt.f64 1/2) a))
154.0ms	(cbrt.f64 g)
0.0ms	(cbrt.f64 (sqrt.f64 1/2))

simplify67.0ms (2%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4967	1491
1	4967	1491

prune125.0ms (3.7%)

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	104	4	108
Fresh	3	10	13
Picked	0	1	1
Done	0	1	1
Total	107	16	123

Merged error: 0.0b

Counts

123 → 16

Compiler

Compiled 1923 to 1455 computations (24.3% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.3b	(/.f64 (cbrt.f64 (*.f64 1/2 g)) (cbrt.f64 a))
0.6b	(cbrt.f64 (*.f64 1/2 g))
0.6b	(cbrt.f64 a)

rewrite12.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`cbrt-prod_binary64_1453`
24×	`times-frac_binary64_1431`
21×	`add-cube-cbrt_binary64_1457` `add-sqr-sqrt_binary64_1446` `*-un-lft-identity_binary64_1425`
6×	`associate-/r*_binary64_1371`
5×	`add-exp-log_binary64_1460`
4×	`associate-/l*_binary64_1372`
3×	`add-cbrt-cube_binary64_1458` `pow1_binary64_1483` `add-log-exp_binary64_1461`
2×	`pow1/3_binary64_1504`
1×	`frac-2neg_binary64_1436` `clear-num_binary64_1424` `div-inv_binary64_1422` `div-exp_binary64_1473` `cbrt-undiv_binary64_1456`

Counts

3 → 66

Calls

3 calls:

5.0ms	(/.f64 (cbrt.f64 (*.f64 1/2 g)) (cbrt.f64 a))
2.0ms	(cbrt.f64 (*.f64 1/2 g))
1.0ms	(cbrt.f64 a)

series468.0ms (13.8%)

Counts

3 → 9

Calls

3 calls:

166.0ms	(cbrt.f64 a)
157.0ms	(cbrt.f64 (*.f64 1/2 g))
145.0ms	(/.f64 (cbrt.f64 (*.f64 1/2 g)) (cbrt.f64 a))

simplify97.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	4925	1104
1	4925	1104

prune56.0ms (1.6%)

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	74	1	75
Fresh	1	12	13
Picked	1	0	1
Done	0	2	2
Total	76	15	91

Merged error: 0.0b

Counts

91 → 15

Compiler

Compiled 932 to 571 computations (38.7% saved)

regimes55.0ms (1.6%)

Compiler: Compiled 374 to 334 computations (10.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	14
1	12	14

end0.0ms (0%)

sample643.0ms (18.9%)

Algorithm

1×

intervals

Results

233.0ms

8000×

body

128

valid

Compiler

Compiled 201 to 181 computations (10% saved)

Details

analyze29.0ms (0.9%)

sample13.0ms (0.4%)

simplify163.0ms (4.8%)

prune2.0ms (0.1%)

localize5.0ms (0.1%)

rewrite10.0ms (0.3%)

series165.0ms (4.8%)

simplify60.0ms (1.8%)

prune43.0ms (1.3%)

localize6.0ms (0.2%)

rewrite20.0ms (0.6%)

series490.0ms (14.4%)

simplify117.0ms (3.4%)

prune86.0ms (2.5%)

localize9.0ms (0.3%)

rewrite28.0ms (0.8%)

series627.0ms (18.4%)

simplify67.0ms (2%)

prune125.0ms (3.7%)

localize6.0ms (0.2%)

rewrite12.0ms (0.4%)

series468.0ms (13.8%)

simplify97.0ms (2.9%)

prune56.0ms (1.6%)

regimes55.0ms (1.6%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample643.0ms (18.9%)

Profiling