Details

analyze597.0ms (7.7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	56
1	34	56
0	3	3
1	3	3

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)

sample74.0ms (1%)

Algorithm

1×

intervals

Results

29.0ms	66×	body	1024	valid
15.0ms	141×	body	128	valid
11.0ms	36×	body	512	valid
3.0ms	13×	body	256	valid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify12.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	12	14
1	12	14

prune4.0ms (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

Error

0.1b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize15.0ms (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 z (sin.f64 y))
0.1b	(*.f64 x (cos.f64 y))

rewrite26.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`add-sqr-sqrt_binary64_5215`
7×	`add-cbrt-cube_binary64_5229` `add-cube-cbrt_binary64_5228` `*-un-lft-identity_binary64_5193` `add-exp-log_binary64_5231` `pow1_binary64_5254`
6×	`associate-l_binary64_5134` `associate-r_binary64_5133`
5×	`add-log-exp_binary64_5232`
2×	`pow-prod-down_binary64_5264` `*-commutative_binary64_5124` `prod-exp_binary64_5242` `unswap-sqr_binary64_5161` `cbrt-unprod_binary64_5226`
1×	`sum-log_binary64_5284` `flip-+_binary64_5167` `+-commutative_binary64_5123` `flip3-+_binary64_5196`

Counts

3 → 47

Calls

3 calls:

7.0ms	(*.f64 z (sin.f64 y))
7.0ms	(*.f64 x (cos.f64 y))
7.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))

series562.0ms (7.3%)

Counts

3 → 36

Calls

3 calls:

322.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
128.0ms	(*.f64 x (cos.f64 y))
113.0ms	(*.f64 z (sin.f64 y))

Compiler

Compiled 540 to 478 computations (11.5% saved)

simplify127.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (103.0ms)

Iter	Nodes	Cost
0	4894	958
1	4894	958

prune117.0ms (1.5%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	73	10	83
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	74	10	84

Error

0.0b

Counts

84 → 10

Compiler

Compiled 1181 to 345 computations (70.8% saved)

localize21.0ms (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)

rewrite28.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_5224`
23×	`add-sqr-sqrt_binary64_5215`
15×	`add-cube-cbrt_binary64_5228` `*-un-lft-identity_binary64_5193`
11×	`pow1_binary64_5254`
9×	`pow1/3_binary64_5275`
6×	`associate-l_binary64_5134` `add-exp-log_binary64_5231` `swap-sqr_binary64_5160` `associate-r_binary64_5133`
4×	`add-cbrt-cube_binary64_5229` `add-log-exp_binary64_5232` `unswap-sqr_binary64_5161`
2×	`pow-prod-down_binary64_5264` `pow-prod-up_binary64_5263` `pow-sqr_binary64_5166`
1×	`pow-plus_binary64_5256` `pow2_binary64_5274` `*-commutative_binary64_5124` `prod-exp_binary64_5242` `cbrt-unprod_binary64_5226`

Counts

4 → 73

Calls

4 calls:

11.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
2.0ms	(cbrt.f64 z)
2.0ms	(cbrt.f64 z)
2.0ms	(cbrt.f64 z)

series510.0ms (6.6%)

Counts

4 → 12

Calls

4 calls:

136.0ms	(cbrt.f64 z)
135.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
128.0ms	(cbrt.f64 z)
110.0ms	(cbrt.f64 z)

Compiler

Compiled 442 to 358 computations (19% saved)

simplify118.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (97.0ms)

Iter	Nodes	Cost
0	4873	548
1	4873	548

prune126.0ms (1.6%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	82	3	85
Fresh	1	8	9
Picked	0	1	1
Done	0	0	0
Total	83	12	95

Error

0.0b

Counts

95 → 12

Compiler

Compiled 1759 to 495 computations (71.9% saved)

localize20.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite24.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_5224`
23×	`add-sqr-sqrt_binary64_5215`
15×	`add-cube-cbrt_binary64_5228` `*-un-lft-identity_binary64_5193`
11×	`pow1_binary64_5254`
9×	`pow1/3_binary64_5275`
6×	`associate-l_binary64_5134` `add-exp-log_binary64_5231` `swap-sqr_binary64_5160` `associate-r_binary64_5133`
4×	`add-cbrt-cube_binary64_5229` `add-log-exp_binary64_5232` `unswap-sqr_binary64_5161`
2×	`pow-prod-down_binary64_5264` `pow-prod-up_binary64_5263` `pow-sqr_binary64_5166`
1×	`pow-plus_binary64_5256` `pow2_binary64_5274` `*-commutative_binary64_5124` `prod-exp_binary64_5242` `cbrt-unprod_binary64_5226`

Counts

4 → 73

Calls

4 calls:

10.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
2.0ms	(cbrt.f64 x)
2.0ms	(cbrt.f64 x)
2.0ms	(cbrt.f64 x)

series483.0ms (6.2%)

Counts

4 → 12

Calls

4 calls:

136.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
124.0ms	(cbrt.f64 x)
113.0ms	(cbrt.f64 x)
109.0ms	(cbrt.f64 x)

Compiler

Compiled 442 to 358 computations (19% saved)

simplify127.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (102.0ms)

Iter	Nodes	Cost
0	4873	548
1	4873	548

prune122.0ms (1.6%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	10	10
Picked	0	1	1
Done	0	1	1
Total	85	12	97

Error

0.0b

Counts

97 → 12

Compiler

Compiled 1743 to 484 computations (72.2% saved)

localize32.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)
0.9b	(pow.f64 (cbrt.f64 (cbrt.f64 z)) 4)

rewrite21.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`cbrt-prod_binary64_5224`
11×	`add-cube-cbrt_binary64_5228` `*-un-lft-identity_binary64_5193` `add-sqr-sqrt_binary64_5215`
9×	`unpow-prod-down_binary64_5272`
5×	`add-exp-log_binary64_5231` `pow1_binary64_5254`
4×	`add-cbrt-cube_binary64_5229` `add-log-exp_binary64_5232` `pow1/3_binary64_5275`
3×	`pow-unpow_binary64_5270`
2×	`pow-pow_binary64_5265`
1×	`pow-to-exp_binary64_5262` `pow-exp_binary64_5261` `sqr-pow_binary64_5165`

Counts

4 → 57

Calls

4 calls:

7.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 z)) 4)
2.0ms	(cbrt.f64 z)
2.0ms	(cbrt.f64 z)
2.0ms	(cbrt.f64 z)

series596.0ms (7.7%)

Counts

4 → 12

Calls

4 calls:

237.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 z)) 4)
123.0ms	(cbrt.f64 z)
120.0ms	(cbrt.f64 z)
115.0ms	(cbrt.f64 z)

Compiler

Compiled 614 to 470 computations (23.5% saved)

simplify67.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4961	535
1	4961	535

prune129.0ms (1.7%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	68	1	69
Fresh	0	9	9
Picked	0	1	1
Done	0	2	2
Total	68	13	81

Error

0.0b

Counts

81 → 13

Compiler

Compiled 1805 to 559 computations (69% saved)

regimes381.0ms (4.9%)

Accuracy

Total 0.1b remaining (64.4%)

Threshold costs 0.1b (64.4%)

Compiler

Compiled 1756 to 1262 computations (28.1% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	14
1	12	14

end0.0ms (0%)

sample3.4s (44%)

Algorithm

1×

intervals

Results

1.0s	2009×	body	1024	valid
567.0ms	4508×	body	128	valid
367.0ms	991×	body	512	valid
117.0ms	487×	body	256	valid
4.0ms	5×	body	2048	valid

Compiler

Compiled 452 to 327 computations (27.7% saved)

Details

analyze597.0ms (7.7%)

sample74.0ms (1%)

simplify12.0ms (0.2%)

prune4.0ms (0.1%)

localize15.0ms (0.2%)

rewrite26.0ms (0.3%)

series562.0ms (7.3%)

simplify127.0ms (1.6%)

prune117.0ms (1.5%)

localize21.0ms (0.3%)

rewrite28.0ms (0.4%)

series510.0ms (6.6%)

simplify118.0ms (1.5%)

prune126.0ms (1.6%)

localize20.0ms (0.3%)

rewrite24.0ms (0.3%)

series483.0ms (6.2%)

simplify127.0ms (1.6%)

prune122.0ms (1.6%)

localize32.0ms (0.4%)

rewrite21.0ms (0.3%)

series596.0ms (7.7%)

simplify67.0ms (0.9%)

prune129.0ms (1.7%)

regimes381.0ms (4.9%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample3.4s (44%)

Profiling