Details

analyze253.0ms (6%)

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 10 to 9 computations (10% saved)

sample44.0ms (1%)

Algorithm

1×

intervals

Results

17.0ms	63×	body	1024	valid
9.0ms	139×	body	128	valid
6.0ms	33×	body	512	valid
3.0ms	21×	body	256	valid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify100.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	159	14
1	159	14

prune3.0ms (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: 0.2b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.1b	(*.f64 z (sin.f64 y))
0.2b	(*.f64 x (cos.f64 y))

rewrite12.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-sqr-sqrt_binary64_6238`
6×	`associate-r_binary64_6156` `-un-lft-identity_binary64_6216` `add-cube-cbrt_binary64_6251` `associate-l*_binary64_6157` `add-cbrt-cube_binary64_6252` `pow1_binary64_6277` `add-exp-log_binary64_6254`
2×	`unswap-sqr_binary64_6184` `prod-exp_binary64_6265` `pow-prod-down_binary64_6287` `cbrt-unprod_binary64_6249` `*-commutative_binary64_6147` `add-log-exp_binary64_6255`

Counts

2 → 36

Calls

2 calls:

5.0ms	(*.f64 x (cos.f64 y))
5.0ms	(*.f64 z (sin.f64 y))

series60.0ms (1.4%)

Counts

2 → 6

Calls

2 calls:

31.0ms	(*.f64 z (sin.f64 y))
28.0ms	(*.f64 x (cos.f64 y))

simplify58.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4986	341
1	4986	341

prune42.0ms (1%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	33	9	42
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	34	9	43

Merged error: 0.0b

Counts

43 → 9

Compiler

Compiled 662 to 218 computations (67.1% saved)

localize15.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))
0.6b	(cbrt.f64 (sin.f64 y))
0.6b	(cbrt.f64 (sin.f64 y))
0.6b	(cbrt.f64 (sin.f64 y))

rewrite18.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_6247`
23×	`add-sqr-sqrt_binary64_6238`
15×	`*-un-lft-identity_binary64_6216` `add-cube-cbrt_binary64_6251`
11×	`pow1_binary64_6277`
9×	`pow1/3_binary64_6298`
6×	`associate-r_binary64_6156` `swap-sqr_binary64_6183` `associate-l_binary64_6157` `add-exp-log_binary64_6254`
4×	`unswap-sqr_binary64_6184` `add-cbrt-cube_binary64_6252` `add-log-exp_binary64_6255`
2×	`pow-prod-down_binary64_6287` `pow-sqr_binary64_6189` `pow-prod-up_binary64_6286`
1×	`pow-plus_binary64_6279` `prod-exp_binary64_6265` `pow2_binary64_6297` `cbrt-unprod_binary64_6249` `*-commutative_binary64_6147`

Counts

4 → 73

Calls

4 calls:

7.0ms	(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))
2.0ms	(cbrt.f64 (sin.f64 y))
1.0ms	(cbrt.f64 (sin.f64 y))
1.0ms	(cbrt.f64 (sin.f64 y))

series306.0ms (7.2%)

Counts

4 → 12

Calls

4 calls:

95.0ms	(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))
78.0ms	(cbrt.f64 (sin.f64 y))
68.0ms	(cbrt.f64 (sin.f64 y))
65.0ms	(cbrt.f64 (sin.f64 y))

simplify85.0ms (2%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4888	797
1	4888	797

prune92.0ms (2.2%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	80	5	85
Fresh	0	8	8
Picked	1	0	1
Done	0	0	0
Total	81	13	94

Merged error: 0.0b

Counts

94 → 13

Compiler

Compiled 2017 to 615 computations (69.5% saved)

localize13.0ms (0.3%)

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)

rewrite15.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_6247`
23×	`add-sqr-sqrt_binary64_6238`
15×	`*-un-lft-identity_binary64_6216` `add-cube-cbrt_binary64_6251`
11×	`pow1_binary64_6277`
9×	`pow1/3_binary64_6298`
6×	`associate-r_binary64_6156` `swap-sqr_binary64_6183` `associate-l_binary64_6157` `add-exp-log_binary64_6254`
4×	`unswap-sqr_binary64_6184` `add-cbrt-cube_binary64_6252` `add-log-exp_binary64_6255`
2×	`pow-prod-down_binary64_6287` `pow-sqr_binary64_6189` `pow-prod-up_binary64_6286`
1×	`pow-plus_binary64_6279` `prod-exp_binary64_6265` `pow2_binary64_6297` `cbrt-unprod_binary64_6249` `*-commutative_binary64_6147`

Counts

4 → 73

Calls

4 calls:

6.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)

series337.0ms (7.9%)

Counts

4 → 12

Calls

4 calls:

96.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
86.0ms	(cbrt.f64 z)
81.0ms	(cbrt.f64 z)
74.0ms	(cbrt.f64 z)

simplify60.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4892	563
1	4892	563

prune76.0ms (1.8%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	12	12
Picked	0	1	1
Done	0	0	0
Total	85	13	98

Merged error: 0.0b

Counts

98 → 13

Compiler

Compiled 1803 to 538 computations (70.2% saved)

localize12.0ms (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)

rewrite15.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_6247`
23×	`add-sqr-sqrt_binary64_6238`
15×	`*-un-lft-identity_binary64_6216` `add-cube-cbrt_binary64_6251`
11×	`pow1_binary64_6277`
9×	`pow1/3_binary64_6298`
6×	`associate-r_binary64_6156` `swap-sqr_binary64_6183` `associate-l_binary64_6157` `add-exp-log_binary64_6254`
4×	`unswap-sqr_binary64_6184` `add-cbrt-cube_binary64_6252` `add-log-exp_binary64_6255`
2×	`pow-prod-down_binary64_6287` `pow-sqr_binary64_6189` `pow-prod-up_binary64_6286`
1×	`pow-plus_binary64_6279` `prod-exp_binary64_6265` `pow2_binary64_6297` `cbrt-unprod_binary64_6249` `*-commutative_binary64_6147`

Counts

4 → 73

Calls

4 calls:

6.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

series323.0ms (7.6%)

Counts

4 → 12

Calls

4 calls:

98.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
77.0ms	(cbrt.f64 x)
74.0ms	(cbrt.f64 x)
74.0ms	(cbrt.f64 x)

simplify60.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4892	563
1	4892	563

prune66.0ms (1.6%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	11	11
Picked	0	1	1
Done	0	1	1
Total	84	14	98

Merged error: 0.0b

Counts

98 → 14

Compiler

Compiled 1584 to 394 computations (75.1% saved)

regimes226.0ms (5.3%)

Compiler: Compiled 2188 to 1514 computations (30.8% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	14
1	37	14

end0.0ms (0%)

sample1.9s (45.8%)

Algorithm

1×

intervals

Results

569.0ms	1980×	body	1024	valid
323.0ms	4512×	body	128	valid
209.0ms	1022×	body	512	valid
67.0ms	481×	body	256	valid
2.0ms	5×	body	2048	valid

Compiler

Compiled 560 to 390 computations (30.4% saved)

Details

analyze253.0ms (6%)

sample44.0ms (1%)

simplify100.0ms (2.4%)

prune3.0ms (0.1%)

localize8.0ms (0.2%)

rewrite12.0ms (0.3%)

series60.0ms (1.4%)

simplify58.0ms (1.4%)

prune42.0ms (1%)

localize15.0ms (0.4%)

rewrite18.0ms (0.4%)

series306.0ms (7.2%)

simplify85.0ms (2%)

prune92.0ms (2.2%)

localize13.0ms (0.3%)

rewrite15.0ms (0.3%)

series337.0ms (7.9%)

simplify60.0ms (1.4%)

prune76.0ms (1.8%)

localize12.0ms (0.3%)

rewrite15.0ms (0.4%)

series323.0ms (7.6%)

simplify60.0ms (1.4%)

prune66.0ms (1.6%)

regimes226.0ms (5.3%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.9s (45.8%)

Profiling