Details

analyze397.0ms (7.2%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	765	56
1	765	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
31.2%	68.6%	0.1%	6
43.7%	56.2%	0.1%	7
59.3%	40.6%	0.1%	8
59.3%	40.6%	0.1%	9
68.6%	31.2%	0.1%	10
78%	21.8%	0.1%	11
78%	21.8%	0.1%	12
83.5%	16.4%	0.1%	13
88.5%	11.3%	0.1%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample38.0ms (0.7%)

Algorithm

1×

intervals

Results

12.0ms	190×	body	128	valid
8.0ms	32×	body	1024	valid
4.0ms	20×	body	512	valid
2.0ms	14×	body	256	valid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify17.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (12.0ms)

Iter	Nodes	Cost
0	227	14
1	227	14

prune2.0ms (0%)

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)

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite39.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

7×	`add-log-exp_binary64_6255`
6×	`add-sqr-sqrt_binary64_6238`
4×	`pow1_binary64_6277` `add-exp-log_binary64_6254` `add-cbrt-cube_binary64_6252` `add-cube-cbrt_binary64_6251` `*-un-lft-identity_binary64_6216`
3×	`associate-l_binary64_6157` `associate-r_binary64_6156`
2×	`diff-log_binary64_6308`
1×	`pow-prod-down_binary64_6287` `prod-exp_binary64_6265` `cbrt-unprod_binary64_6249` `unswap-sqr_binary64_6184` `*-commutative_binary64_6147` `sum-log_binary64_6307` `flip3--_binary64_6220` `sub-neg_binary64_6209` `flip--_binary64_6191` `cancel-sign-sub-inv_binary64_6182` `associate--l+_binary64_6153`

Counts

2 → 32

Calls

2 calls:

6.0ms	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
4.0ms	(*.f64 z (sin.f64 y))

Compiler

Compiled 508 to 120 computations (76.4% saved)

series291.0ms (5.3%)

Error

0.1b

Counts

2 → 27

Calls

2 calls:

202.0ms	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
72.0ms	(*.f64 z (sin.f64 y))

Compiler

Compiled 649 to 429 computations (33.9% saved)

simplify77.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	5315	753

prune48.0ms (0.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	55	4	59
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	55	5	60

Error

0.0b

Counts

60 → 5

Compiler

Compiled 784 to 204 computations (74% saved)

localize11.0ms (0.2%)

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)

rewrite73.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

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

Compiler

Compiled 1524 to 318 computations (79.1% saved)

series333.0ms (6%)

Error

0.0b

Counts

4 → 12

Calls

4 calls:

93.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
83.0ms	(cbrt.f64 z)
76.0ms	(cbrt.f64 z)
72.0ms	(cbrt.f64 z)

Compiler

Compiled 663 to 450 computations (32.1% saved)

simplify75.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4873	548
1	4873	548

prune67.0ms (1.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	84	6	90

Error

Counts

90 → 6

Compiler

Compiled 1651 to 416 computations (74.8% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 z (sin.f64 y))) (cbrt.f64 (*.f64 z (sin.f64 y))))
8.1b	(cbrt.f64 (*.f64 z (sin.f64 y)))
8.1b	(cbrt.f64 (*.f64 z (sin.f64 y)))
8.1b	(cbrt.f64 (*.f64 z (sin.f64 y)))

rewrite68.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

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

Counts

4 → 58

Calls

4 calls:

6.0ms	(.f64 (cbrt.f64 (.f64 z (sin.f64 y))) (cbrt.f64 (*.f64 z (sin.f64 y))))
3.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))
3.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))
3.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))

Compiler

Compiled 1596 to 245 computations (84.6% saved)

series1.1s (19.1%)

Error

Counts

4 → 34

Calls

4 calls:

306.0ms	(.f64 (cbrt.f64 (.f64 z (sin.f64 y))) (cbrt.f64 (*.f64 z (sin.f64 y))))
240.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))
234.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))
233.0ms	(cbrt.f64 (*.f64 z (sin.f64 y)))

Compiler

Compiled 2879 to 1636 computations (43.2% saved)

simplify113.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (96.0ms)

Iter	Nodes	Cost
0	5382	1047

prune80.0ms (1.5%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	92	6	98

Error

Counts

98 → 6

Compiler

Compiled 2277 to 501 computations (78% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(sqrt.f64 (+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))
0.1b	(*.f64 z (sin.f64 y))
0.1b	(*.f64 z (sin.f64 y))
0.3b	(.f64 (sqrt.f64 (+.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) x)) (sqrt.f64 (+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)))

rewrite141.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

36×	`add-sqr-sqrt_binary64_6238`
33×	`*-un-lft-identity_binary64_6216`
30×	`sqrt-prod_binary64_6232`
24×	`pow1_binary64_6277`
17×	`add-cube-cbrt_binary64_6251`
14×	`sqrt-div_binary64_6233`
13×	`associate-l_binary64_6157` `associate-r_binary64_6156`
11×	`swap-sqr_binary64_6183`
10×	`add-exp-log_binary64_6254` `add-cbrt-cube_binary64_6252`
9×	`pow1/2_binary64_6296` `sqrt-pow1_binary64_6234`
7×	`flip3-+_binary64_6219` `flip-+_binary64_6190` `distribute-lft-out_binary64_6167`
6×	`unswap-sqr_binary64_6184`
5×	`pow-prod-down_binary64_6287` `pow-prod-up_binary64_6286`
4×	`add-log-exp_binary64_6255` `frac-times_binary64_6226`
3×	`prod-exp_binary64_6265` `cbrt-unprod_binary64_6249` `rem-sqrt-square_binary64_6229` `pow-sqr_binary64_6189` `*-commutative_binary64_6147`
2×	`associate-l/_binary64_6159` `associate-r/_binary64_6158`
1×	`pow2_binary64_6297` `pow-plus_binary64_6279` `sqrt-unprod_binary64_6236` `sqr-abs_binary64_6231` `rem-square-sqrt_binary64_6228`

Counts

4 → 115

Calls

4 calls:

16.0ms	(.f64 (sqrt.f64 (+.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) x)) (sqrt.f64 (+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)))
5.0ms	(sqrt.f64 (+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))
4.0ms	(*.f64 z (sin.f64 y))
4.0ms	(*.f64 z (sin.f64 y))

Compiler

Compiled 3705 to 441 computations (88.1% saved)

series596.0ms (10.8%)

Error

Counts

4 → 52

Calls

4 calls:

205.0ms	(.f64 (sqrt.f64 (+.f64 (-.f64 (cos.f64 y) (.f64 z (sin.f64 y))) x)) (sqrt.f64 (+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x)))
185.0ms	(sqrt.f64 (+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))
83.0ms	(*.f64 z (sin.f64 y))
80.0ms	(*.f64 z (sin.f64 y))

Compiler

Compiled 2820 to 1462 computations (48.2% saved)

simplify86.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

167 → 167

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4926	2938
1	4926	2938

prune124.0ms (2.2%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	167	0	167
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	167	6	173

Error

Counts

173 → 6

Compiler

Compiled 3778 to 635 computations (83.2% saved)

regimes173.0ms (3.1%)

Accuracy

Total 0.0b remaining (70.9%)

Threshold costs 0.0b (70.9%)

Compiler

Compiled 1412 to 1018 computations (27.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	14
1	37	14

end0.0ms (0%)

sample1.6s (28.5%)

Algorithm

1×

intervals

Results

371.0ms	5751×	body	128	valid
336.0ms	1251×	body	1024	valid
128.0ms	677×	body	512	valid
40.0ms	315×	body	256	valid
3.0ms	6×	body	2048	valid

Compiler

Compiled 366 to 266 computations (27.3% saved)

Details

analyze397.0ms (7.2%)

sample38.0ms (0.7%)

simplify17.0ms (0.3%)

prune2.0ms (0%)

localize11.0ms (0.2%)

rewrite39.0ms (0.7%)

series291.0ms (5.3%)

simplify77.0ms (1.4%)

prune48.0ms (0.9%)

localize11.0ms (0.2%)

rewrite73.0ms (1.3%)

series333.0ms (6%)

simplify75.0ms (1.4%)

prune67.0ms (1.2%)

localize11.0ms (0.2%)

rewrite68.0ms (1.2%)

series1.1s (19.1%)

simplify113.0ms (2.1%)

prune80.0ms (1.5%)

localize12.0ms (0.2%)

rewrite141.0ms (2.6%)

series596.0ms (10.8%)

simplify86.0ms (1.6%)

prune124.0ms (2.2%)

regimes173.0ms (3.1%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.6s (28.5%)

Profiling