Details

analyze397.0ms (5.9%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	263	64
1	263	64
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
25%	74.9%	0.1%	6
25%	74.9%	0.1%	7
43.7%	56.2%	0.1%	8
62.4%	37.4%	0.1%	9
65.5%	34.3%	0.1%	10
71.8%	27.7%	0.5%	11
79.2%	19.7%	1.1%	12
80.2%	18.7%	1.1%	13
82.8%	15%	2.2%	14

Symmetry

(sort x y)

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample29.0ms (0.4%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
0.0ms	12×	body	128	invalid

Compiler

Compiled 23 to 24 computations (-4.3% saved)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	111	16
1	111	16

prune3.0ms (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

5.8b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

2.5b	(/.f64 (/.f64 1 x) (.f64 y (+.f64 1 (.f64 z z))))
4.3b	(.f64 y (+.f64 1 (.f64 z z)))

rewrite107.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

4.5b

Rules

31×	`times-frac_binary64_9291`
26×	`add-exp-log_binary64_9323`
20×	`add-sqr-sqrt_binary64_9307`
18×	`add-cube-cbrt_binary64_9320` `*-un-lft-identity_binary64_9285`
16×	`add-cbrt-cube_binary64_9321`
13×	`associate-/l*_binary64_9230`
12×	`div-exp_binary64_9336`
6×	`cbrt-undiv_binary64_9319`
5×	`prod-exp_binary64_9334`
4×	`pow1_binary64_9346` `associate-*r/_binary64_9227`
3×	`cbrt-unprod_binary64_9318` `associate-l_binary64_9226` `associate-r_binary64_9225` `div-inv_binary64_9282`
2×	`add-log-exp_binary64_9324` `flip3-+_binary64_9288` `flip-+_binary64_9259` `1-exp_binary64_9329` `rec-exp_binary64_9335` `associate-/r/_binary64_9231`
1×	`pow-prod-down_binary64_9356` `unswap-sqr_binary64_9253` `distribute-rgt-in_binary64_9235` `distribute-lft-in_binary64_9234` `-commutative_binary64_9216` `frac-2neg_binary64_9296` `clear-num_binary64_9284` `associate-/l/_binary64_9232` `associate-/r_binary64_9229`

Counts

2 → 74

Calls

2 calls:

8.0ms	(/.f64 (/.f64 1 x) (.f64 y (+.f64 1 (.f64 z z))))
6.0ms	(.f64 y (+.f64 1 (.f64 z z)))

Compiler

Compiled 1418 to 830 computations (41.5% saved)

series327.0ms (4.9%)

Error

4.5b

Counts

2 → 27

Calls

2 calls:

219.0ms	(/.f64 (/.f64 1 x) (.f64 y (+.f64 1 (.f64 z z))))
83.0ms	(.f64 y (+.f64 1 (.f64 z z)))

Compiler

Compiled 962 to 756 computations (21.4% saved)

simplify79.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4981	1800
1	4981	1800

prune95.0ms (1.4%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	95	6	101
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	96	6	102

Error

4.5b

Counts

102 → 6

Compiler

Compiled 1685 to 962 computations (42.9% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.3b	(/.f64 1 (*.f64 y x))
5.5b	(/.f64 (/.f64 1 (.f64 y x)) (+.f64 1 (.f64 z z)))

rewrite91.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

4.4b

Rules

36×	`times-frac_binary64_9291`
32×	`add-exp-log_binary64_9323`
20×	`add-cube-cbrt_binary64_9320` `add-sqr-sqrt_binary64_9307` `*-un-lft-identity_binary64_9285`
16×	`add-cbrt-cube_binary64_9321`
15×	`div-exp_binary64_9336`
10×	`associate-/l*_binary64_9230`
7×	`cbrt-undiv_binary64_9319`
6×	`prod-exp_binary64_9334` `div-inv_binary64_9282`
5×	`pow1_binary64_9346`
4×	`1-exp_binary64_9329` `rec-exp_binary64_9335` `associate-/r*_binary64_9229`
2×	`add-log-exp_binary64_9324` `cbrt-unprod_binary64_9318` `frac-2neg_binary64_9296` `clear-num_binary64_9284` `associate-/r/_binary64_9231` `pow-flip_binary64_9359`
1×	`associate-/l/_binary64_9232` `flip3-+_binary64_9288` `flip-+_binary64_9259` `inv-pow_binary64_9370` `pow-prod-down_binary64_9356`

Counts

2 → 82

Calls

2 calls:

8.0ms	(/.f64 (/.f64 1 (.f64 y x)) (+.f64 1 (.f64 z z)))
4.0ms	(/.f64 1 (*.f64 y x))

Compiler

Compiled 1594 to 889 computations (44.2% saved)

series275.0ms (4.1%)

Error

4.5b

Counts

2 → 24

Calls

2 calls:

205.0ms	(/.f64 (/.f64 1 (.f64 y x)) (+.f64 1 (.f64 z z)))
51.0ms	(/.f64 1 (*.f64 y x))

Compiler

Compiled 916 to 697 computations (23.9% saved)

simplify100.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	5565	2023

prune88.0ms (1.3%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	104	2	106
Fresh	1	4	5
Picked	1	0	1
Done	0	0	0
Total	106	6	112

Error

4.4b

Counts

112 → 6

Compiler

Compiled 1854 to 888 computations (52.1% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.2b	(/.f64 (/.f64 1 y) x)
5.5b	(/.f64 (/.f64 (/.f64 1 y) x) (+.f64 1 (*.f64 z z)))

rewrite452.0ms (6.7%)

Algorithm

1×	rewrite-expression-head

Error

4.4b

Rules

468×	`times-frac_binary64_9291`
228×	`add-cube-cbrt_binary64_9320` `add-sqr-sqrt_binary64_9307` `*-un-lft-identity_binary64_9285`
56×	`associate-/l*_binary64_9230`
26×	`add-exp-log_binary64_9323`
22×	`div-inv_binary64_9282`
17×	`div-exp_binary64_9336`
16×	`add-cbrt-cube_binary64_9321`
9×	`cbrt-undiv_binary64_9319`
6×	`associate-/r*_binary64_9229`
2×	`pow1_binary64_9346` `1-exp_binary64_9329` `rec-exp_binary64_9335` `add-log-exp_binary64_9324` `frac-2neg_binary64_9296` `clear-num_binary64_9284` `associate-/l/_binary64_9232` `associate-/r/_binary64_9231`
1×	`flip3-+_binary64_9288` `flip-+_binary64_9259`

Counts

2 → 268

Calls

2 calls:

18.0ms	(/.f64 (/.f64 (/.f64 1 y) x) (+.f64 1 (*.f64 z z)))
6.0ms	(/.f64 (/.f64 1 y) x)

Compiler

Compiled 6894 to 3959 computations (42.6% saved)

series295.0ms (4.4%)

Error

4.4b

Counts

2 → 24

Calls

2 calls:

222.0ms	(/.f64 (/.f64 (/.f64 1 y) x) (+.f64 1 (*.f64 z z)))
55.0ms	(/.f64 (/.f64 1 y) x)

Compiler

Compiled 916 to 697 computations (23.9% saved)

simplify153.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

292 → 292

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	4946	8376
1	4946	8376

prune344.0ms (5.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	292	0	292
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	292	6	298

Error

4.4b

Counts

298 → 6

Compiler

Compiled 6769 to 3428 computations (49.4% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (.f64 y (sqrt.f64 (+.f64 (.f64 z z) 1))) (sqrt.f64 (+.f64 1 (.f64 z z))))
2.5b	(/.f64 (/.f64 1 x) (.f64 (.f64 y (sqrt.f64 (+.f64 (.f64 z z) 1))) (sqrt.f64 (+.f64 1 (.f64 z z)))))
14.3b	(sqrt.f64 (+.f64 (*.f64 z z) 1))
14.3b	(sqrt.f64 (+.f64 1 (*.f64 z z)))

rewrite225.0ms (3.3%)

Algorithm

1×	rewrite-expression-head

Error

4.4b

Rules

48×	`add-exp-log_binary64_9323`
31×	`times-frac_binary64_9291`
30×	`add-cbrt-cube_binary64_9321`
28×	`sqrt-div_binary64_9302`
24×	`add-sqr-sqrt_binary64_9307`
22×	`add-cube-cbrt_binary64_9320` `*-un-lft-identity_binary64_9285`
18×	`div-exp_binary64_9336`
16×	`associate-*r/_binary64_9227`
15×	`prod-exp_binary64_9334`
14×	`flip3-+_binary64_9288` `flip-+_binary64_9259`
13×	`associate-/l*_binary64_9230`
11×	`pow1_binary64_9346`
9×	`sqrt-prod_binary64_9301` `cbrt-undiv_binary64_9319` `cbrt-unprod_binary64_9318`
8×	`frac-times_binary64_9295` `associate-/r/_binary64_9231`
6×	`associate-r_binary64_9225`
4×	`add-log-exp_binary64_9324` `associate-*l/_binary64_9228`
3×	`1-exp_binary64_9329` `rec-exp_binary64_9335` `div-inv_binary64_9282` `pow-prod-down_binary64_9356`
2×	`pow1/2_binary64_9365` `sqrt-pow1_binary64_9303` `rem-sqrt-square_binary64_9298`
1×	`frac-2neg_binary64_9296` `clear-num_binary64_9284` `associate-/l/_binary64_9232` `associate-/r_binary64_9229` `associate-l_binary64_9226` `-commutative_binary64_9216`

Counts

4 → 123

Calls

4 calls:

17.0ms	(/.f64 (/.f64 1 x) (.f64 (.f64 y (sqrt.f64 (+.f64 (.f64 z z) 1))) (sqrt.f64 (+.f64 1 (.f64 z z)))))
12.0ms	(.f64 (.f64 y (sqrt.f64 (+.f64 (.f64 z z) 1))) (sqrt.f64 (+.f64 1 (.f64 z z))))
4.0ms	(sqrt.f64 (+.f64 (*.f64 z z) 1))
3.0ms	(sqrt.f64 (+.f64 1 (*.f64 z z)))

Compiler

Compiled 3844 to 2283 computations (40.6% saved)

series428.0ms (6.3%)

Error

4.4b

Counts

4 → 49

Calls

4 calls:

203.0ms	(/.f64 (/.f64 1 x) (.f64 (.f64 y (sqrt.f64 (+.f64 (.f64 z z) 1))) (sqrt.f64 (+.f64 1 (.f64 z z)))))
86.0ms	(.f64 (.f64 y (sqrt.f64 (+.f64 (.f64 z z) 1))) (sqrt.f64 (+.f64 1 (.f64 z z))))
47.0ms	(sqrt.f64 (+.f64 1 (*.f64 z z)))
46.0ms	(sqrt.f64 (+.f64 (*.f64 z z) 1))

Compiler

Compiled 2054 to 1619 computations (21.2% saved)

simplify77.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

172 → 172

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4961	3218
1	4961	3218

prune162.0ms (2.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	171	1	172
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	172	6	178

Error

4.4b

Counts

178 → 6

Compiler

Compiled 3559 to 1856 computations (47.9% saved)

regimes1.1s (16.6%)

Accuracy

Total 0.2b remaining (4.4%)

Threshold costs 0.2b (4.4%)

Compiler

Compiled 9275 to 7680 computations (17.2% saved)

bsearch2.0ms (0%)

Compiler: Compiled 7 to 7 computations (0% saved)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	47
1	23	47

Compiler

Compiled 64 to 42 computations (34.4% saved)

end0.0ms (0%)

sample1.8s (27.3%)

Algorithm

1×

intervals

Results

298.0ms	8000×	body	128	valid
21.0ms	436×	body	128	invalid

Compiler

Compiled 1130 to 926 computations (18.1% saved)

Details

analyze397.0ms (5.9%)

sample29.0ms (0.4%)

simplify10.0ms (0.1%)

prune3.0ms (0%)

localize7.0ms (0.1%)

rewrite107.0ms (1.6%)

series327.0ms (4.9%)

simplify79.0ms (1.2%)

prune95.0ms (1.4%)

localize7.0ms (0.1%)

rewrite91.0ms (1.4%)

series275.0ms (4.1%)

simplify100.0ms (1.5%)

prune88.0ms (1.3%)

localize7.0ms (0.1%)

rewrite452.0ms (6.7%)

series295.0ms (4.4%)

simplify153.0ms (2.3%)

prune344.0ms (5.1%)

localize11.0ms (0.2%)

rewrite225.0ms (3.3%)

series428.0ms (6.3%)

simplify77.0ms (1.1%)

prune162.0ms (2.4%)

regimes1.1s (16.6%)

bsearch2.0ms (0%)

simplify10.0ms (0.1%)

end0.0ms (0%)

sample1.8s (27.3%)

Profiling