Details

analyze313.0ms (5%)

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
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

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample18.0ms (0.3%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
1.0ms	15×	body	128	invalid

Compiler

Compiled 23 to 24 computations (-4.3% saved)

simplify234.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	105	16
1	105	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

Merged error: 7.2b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

3.3b	(/.f64 (/.f64 1 x) (.f64 y (+.f64 1 (.f64 z z))))
5.0b	(.f64 y (+.f64 1 (.f64 z z)))

rewrite25.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`times-frac_binary64_9291`
26×	`add-exp-log_binary64_9323`
20×	`add-sqr-sqrt_binary64_9307`
18×	`*-un-lft-identity_binary64_9285` `add-cube-cbrt_binary64_9320`
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×	`rec-exp_binary64_9335` `flip-+_binary64_9259` `add-log-exp_binary64_9324` `associate-/r/_binary64_9231` `flip3-+_binary64_9288` `1-exp_binary64_9329`
1×	`associate-/l/_binary64_9232` `clear-num_binary64_9284` `distribute-lft-in_binary64_9234` `distribute-rgt-in_binary64_9235` `pow-prod-down_binary64_9356` `unswap-sqr_binary64_9253` `frac-2neg_binary64_9296` `-commutative_binary64_9216` `associate-/r_binary64_9229`

Counts

2 → 74

Calls

2 calls:

11.0ms	(/.f64 (/.f64 1 x) (.f64 y (+.f64 1 (.f64 z z))))
8.0ms	(.f64 y (+.f64 1 (.f64 z z)))

series217.0ms (3.5%)

Counts

2 → 6

Calls

2 calls:

112.0ms	(/.f64 (/.f64 1 x) (.f64 y (+.f64 1 (.f64 z z))))
105.0ms	(.f64 y (+.f64 1 (.f64 z z)))

simplify88.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	5028	1317

prune110.0ms (1.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	72	8	80
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	73	8	81

Merged error: 6.6b

Counts

81 → 8

Compiler

Compiled 1396 to 845 computations (39.5% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (.f64 y (sqrt.f64 (+.f64 1 (.f64 z z)))) (sqrt.f64 (+.f64 1 (.f64 z z))))
3.3b	(/.f64 (/.f64 1 x) (.f64 (.f64 y (sqrt.f64 (+.f64 1 (.f64 z z)))) (sqrt.f64 (+.f64 1 (.f64 z z)))))
16.6b	(sqrt.f64 (+.f64 1 (*.f64 z z)))
16.6b	(sqrt.f64 (+.f64 1 (*.f64 z z)))

rewrite63.0ms (1%)

Algorithm

1×	rewrite-expression-head

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

Counts

4 → 123

Calls

4 calls:

19.0ms	(/.f64 (/.f64 1 x) (.f64 (.f64 y (sqrt.f64 (+.f64 1 (.f64 z z)))) (sqrt.f64 (+.f64 1 (.f64 z z)))))
12.0ms	(.f64 (.f64 y (sqrt.f64 (+.f64 1 (.f64 z z)))) (sqrt.f64 (+.f64 1 (.f64 z z))))
3.0ms	(sqrt.f64 (+.f64 1 (*.f64 z z)))
3.0ms	(sqrt.f64 (+.f64 1 (*.f64 z z)))

series364.0ms (5.8%)

Counts

4 → 12

Calls

4 calls:

125.0ms	(.f64 (.f64 y (sqrt.f64 (+.f64 1 (.f64 z z)))) (sqrt.f64 (+.f64 1 (.f64 z z))))
113.0ms	(/.f64 (/.f64 1 x) (.f64 (.f64 y (sqrt.f64 (+.f64 1 (.f64 z z)))) (sqrt.f64 (+.f64 1 (.f64 z z)))))
65.0ms	(sqrt.f64 (+.f64 1 (*.f64 z z)))
61.0ms	(sqrt.f64 (+.f64 1 (*.f64 z z)))

simplify118.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4942	2530
1	4942	2530

prune196.0ms (3.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	135	0	135
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	135	8	143

Merged error: 6.6b

Counts

143 → 8

Compiler

Compiled 2981 to 1844 computations (38.1% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.5b	(/.f64 1 (.f64 (.f64 y (+.f64 1 (*.f64 z z))) x))
2.9b	(.f64 (.f64 y (+.f64 1 (*.f64 z z))) x)
5.0b	(.f64 y (+.f64 1 (.f64 z z)))

rewrite52.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`add-exp-log_binary64_9323`
19×	`add-cbrt-cube_binary64_9321`
16×	`pow1_binary64_9346`
13×	`prod-exp_binary64_9334`
10×	`add-sqr-sqrt_binary64_9307`
8×	`*-un-lft-identity_binary64_9285` `add-cube-cbrt_binary64_9320`
7×	`cbrt-unprod_binary64_9318` `pow-prod-down_binary64_9356`
6×	`div-exp_binary64_9336` `associate-r_binary64_9225` `associate-*r/_binary64_9227`
4×	`associate-l/_binary64_9228` `associate-l*_binary64_9226`
3×	`rec-exp_binary64_9335` `cbrt-undiv_binary64_9319` `times-frac_binary64_9291` `flip-+_binary64_9259` `add-log-exp_binary64_9324` `associate-/l*_binary64_9230` `pow-flip_binary64_9359` `flip3-+_binary64_9288` `1-exp_binary64_9329`
2×	`*-commutative_binary64_9216` `associate-/r/_binary64_9231`
1×	`clear-num_binary64_9284` `distribute-lft-in_binary64_9234` `distribute-rgt-in_binary64_9235` `unswap-sqr_binary64_9253` `inv-pow_binary64_9370` `frac-2neg_binary64_9296` `associate-/r*_binary64_9229` `div-inv_binary64_9282`

Counts

3 → 77

Calls

3 calls:

16.0ms	(/.f64 1 (.f64 (.f64 y (+.f64 1 (*.f64 z z))) x))
14.0ms	(.f64 (.f64 y (+.f64 1 (*.f64 z z))) x)
9.0ms	(.f64 y (+.f64 1 (.f64 z z)))

series399.0ms (6.4%)

Counts

3 → 9

Calls

3 calls:

142.0ms	(/.f64 1 (.f64 (.f64 y (+.f64 1 (*.f64 z z))) x))
142.0ms	(.f64 (.f64 y (+.f64 1 (*.f64 z z))) x)
115.0ms	(.f64 y (+.f64 1 (.f64 z z)))

simplify156.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (131.0ms)

Iter	Nodes	Cost
0	5056	1234

prune149.0ms (2.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	84	2	86
Fresh	2	4	6
Picked	1	0	1
Done	0	1	1
Total	87	7	94

Merged error: 6.6b

Counts

94 → 7

Compiler

Compiled 1388 to 829 computations (40.3% saved)

localize22.0ms (0.4%)

Local error

Found 4 expressions with local error:

5.0b	(.f64 y (+.f64 1 (.f64 z z)))
18.4b	(cbrt.f64 (/.f64 (/.f64 1 x) (.f64 y (+.f64 1 (.f64 z z)))))
18.4b	(cbrt.f64 (/.f64 (/.f64 1 x) (.f64 y (+.f64 1 (.f64 z z)))))
18.4b	(cbrt.f64 (/.f64 (/.f64 1 x) (.f64 y (+.f64 1 (.f64 z z)))))

rewrite66.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

66×	`times-frac_binary64_9291`
57×	`cbrt-prod_binary64_9316`
32×	`add-sqr-sqrt_binary64_9307`
30×	`*-un-lft-identity_binary64_9285` `add-cube-cbrt_binary64_9320`
8×	`associate-*r/_binary64_9227`
6×	`pow1_binary64_9346` `add-cbrt-cube_binary64_9321` `associate-/r/_binary64_9231` `add-exp-log_binary64_9323` `div-inv_binary64_9282`
4×	`flip-+_binary64_9259` `add-log-exp_binary64_9324` `flip3-+_binary64_9288`
3×	`cbrt-div_binary64_9317` `associate-l_binary64_9226` `associate-r_binary64_9225` `pow1/3_binary64_9367`
1×	`cbrt-unprod_binary64_9318` `prod-exp_binary64_9334` `distribute-lft-in_binary64_9234` `distribute-rgt-in_binary64_9235` `pow-prod-down_binary64_9356` `unswap-sqr_binary64_9253` `*-commutative_binary64_9216`

Counts

4 → 106

Calls

4 calls:

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

series979.0ms (15.6%)

Counts

4 → 12

Calls

4 calls:

297.0ms	(cbrt.f64 (/.f64 (/.f64 1 x) (.f64 y (+.f64 1 (.f64 z z)))))
293.0ms	(cbrt.f64 (/.f64 (/.f64 1 x) (.f64 y (+.f64 1 (.f64 z z)))))
282.0ms	(cbrt.f64 (/.f64 (/.f64 1 x) (.f64 y (+.f64 1 (.f64 z z)))))
107.0ms	(.f64 y (+.f64 1 (.f64 z z)))

simplify97.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4993	2593
1	4993	2593

prune326.0ms (5.2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	117	1	118
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	117	8	125

Merged error: 6.6b

Counts

125 → 8

Compiler

Compiled 5188 to 3223 computations (37.9% saved)

regimes722.0ms (11.5%)

Compiler: Compiled 6345 to 5106 computations (19.5% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	16
1	13	16

end0.0ms (0%)

sample1.5s (24.2%)

Algorithm

1×

intervals

Results

385.0ms	8000×	body	128	valid
22.0ms	464×	body	128	invalid

Compiler

Compiled 725 to 577 computations (20.4% saved)

Details

analyze313.0ms (5%)

sample18.0ms (0.3%)

simplify234.0ms (3.7%)

prune3.0ms (0%)

localize8.0ms (0.1%)

rewrite25.0ms (0.4%)

series217.0ms (3.5%)

simplify88.0ms (1.4%)

prune110.0ms (1.8%)

localize11.0ms (0.2%)

rewrite63.0ms (1%)

series364.0ms (5.8%)

simplify118.0ms (1.9%)

prune196.0ms (3.1%)

localize7.0ms (0.1%)

rewrite52.0ms (0.8%)

series399.0ms (6.4%)

simplify156.0ms (2.5%)

prune149.0ms (2.4%)

localize22.0ms (0.4%)

rewrite66.0ms (1%)

series979.0ms (15.6%)

simplify97.0ms (1.6%)

prune326.0ms (5.2%)

regimes722.0ms (11.5%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.5s (24.2%)

Profiling