Details

analyze1.1s (16.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
2.3%	97.4%	0.2%	9
4.7%	95.1%	0.2%	10
12.7%	87.1%	0.2%	11
15.9%	83.9%	0.2%	12
24.9%	74.9%	0.2%	13
33.3%	66.5%	0.2%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample24.0ms (0.4%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
1.0ms	21×	body	128	invalid

Compiler

Compiled 23 to 26 computations (-13% saved)

simplify135.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (128.0ms)

Iter	Nodes	Cost
0	5035	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: 1.2b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 z t) (-.f64 z a))
1.7b	(*.f64 y (/.f64 (-.f64 z t) (-.f64 z a)))

rewrite42.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

75×	`add-sqr-sqrt_binary64`
70×	`*-un-lft-identity_binary64`
51×	`times-frac_binary64`
31×	`associate-r_binary64`
26×	`add-cube-cbrt_binary64`
22×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`associate-/r_binary64` `associate-/l_binary64`
4×	`pow1_binary64` `associate-/r/_binary64`
3×	`flip3--_binary64` `associate-l_binary64` `flip--_binary64`
2×	`associate-/l/_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `-commutative_binary64`

Counts

2 → 102

Calls

2 calls:

17.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 z a)))
14.0ms	(/.f64 (-.f64 z t) (-.f64 z a))

series231.0ms (3.5%)

Counts

2 → 6

Calls

2 calls:

158.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 z a)))
73.0ms	(/.f64 (-.f64 z t) (-.f64 z a))

simplify52.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5397	1767

prune218.0ms (3.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	102	6	108
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	102	7	109

Merged error: 0.0b

Counts

109 → 7

Compiler

Compiled 4617 to 2013 computations (56.4% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(*.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t)))
0.6b	(cbrt.f64 (-.f64 z t))
0.6b	(cbrt.f64 (-.f64 z t))
0.6b	(cbrt.f64 (-.f64 z t))

rewrite40.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

43×	`cbrt-prod_binary64`
37×	`add-sqr-sqrt_binary64`
35×	`*-un-lft-identity_binary64`
18×	`cbrt-div_binary64`
15×	`add-cube-cbrt_binary64`
11×	`pow1_binary64`
10×	`swap-sqr_binary64`
9×	`flip3--_binary64` `pow1/3_binary64` `distribute-lft-out--_binary64` `flip--_binary64`
8×	`associate-r_binary64` `associate-l_binary64`
7×	`difference-of-squares_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64` `frac-times_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `associate-r/_binary64` `pow-sqr_binary64` `associate-l/_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 101

Calls

4 calls:

13.0ms	(*.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t)))
4.0ms	(cbrt.f64 (-.f64 z t))
4.0ms	(cbrt.f64 (-.f64 z t))
4.0ms	(cbrt.f64 (-.f64 z t))

series844.0ms (12.9%)

Counts

4 → 12

Calls

4 calls:

226.0ms	(*.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t)))
207.0ms	(cbrt.f64 (-.f64 z t))
207.0ms	(cbrt.f64 (-.f64 z t))
203.0ms	(cbrt.f64 (-.f64 z t))

simplify67.0ms (1%)

Algorithm

1×	egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5253	1620

prune142.0ms (2.2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	112	1	113
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	112	8	120

Merged error: 0.0b

Counts

120 → 8

Compiler

Compiled 4635 to 1021 computations (78% saved)

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (-.f64 z a))
0.6b	(pow.f64 (cbrt.f64 (-.f64 z t)) 2)
0.6b	(cbrt.f64 (-.f64 z t))
0.6b	(cbrt.f64 (-.f64 z t))

rewrite25.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`cbrt-prod_binary64`
18×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
10×	`add-cube-cbrt_binary64`
8×	`unpow-prod-down_binary64`
6×	`cbrt-div_binary64`
5×	`pow1_binary64` `add-exp-log_binary64`
4×	`add-log-exp_binary64` `pow1/3_binary64` `add-cbrt-cube_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`
3×	`pow-unpow_binary64` `flip3--_binary64` `flip--_binary64`
2×	`pow-pow_binary64`
1×	`pow-to-exp_binary64` `unpow2_binary64` `sqr-pow_binary64` `pow-exp_binary64`

Counts

4 → 69

Calls

4 calls:

6.0ms	(pow.f64 (cbrt.f64 (-.f64 z t)) 2)
4.0ms	(cbrt.f64 (-.f64 z t))
4.0ms	(cbrt.f64 (-.f64 z t))
3.0ms	(cbrt.f64 (-.f64 z a))

series965.0ms (14.7%)

Counts

4 → 12

Calls

4 calls:

320.0ms	(pow.f64 (cbrt.f64 (-.f64 z t)) 2)
217.0ms	(cbrt.f64 (-.f64 z a))
216.0ms	(cbrt.f64 (-.f64 z t))
212.0ms	(cbrt.f64 (-.f64 z t))

simplify66.0ms (1%)

Algorithm

1×	egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4934	1011
1	4934	1011

prune102.0ms (1.6%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	81	8	89

Merged error: 0.0b

Counts

89 → 8

Compiler

Compiled 2950 to 846 computations (71.3% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b	(.f64 y (.f64 (cbrt.f64 (/.f64 (-.f64 z t) (-.f64 z a))) (cbrt.f64 (/.f64 (-.f64 z t) (-.f64 z a)))))
3.4b	(cbrt.f64 (/.f64 (-.f64 z t) (-.f64 z a)))
3.4b	(cbrt.f64 (/.f64 (-.f64 z t) (-.f64 z a)))
3.4b	(cbrt.f64 (/.f64 (-.f64 z t) (-.f64 z a)))

rewrite78.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

99×	`add-sqr-sqrt_binary64`
98×	`*-un-lft-identity_binary64`
93×	`cbrt-prod_binary64`
75×	`times-frac_binary64`
38×	`add-cube-cbrt_binary64`
30×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
9×	`pow1_binary64` `add-exp-log_binary64`
7×	`cbrt-div_binary64` `add-cbrt-cube_binary64`
6×	`associate-/r/_binary64`
4×	`add-log-exp_binary64` `associate-*r/_binary64`
3×	`pow-prod-down_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `pow1/3_binary64` `associate-l_binary64` `prod-exp_binary64` `div-inv_binary64` `flip--_binary64`
1×	`associate-r_binary64` `unswap-sqr_binary64` `frac-times_binary64` `associate-l/_binary64` `-commutative_binary64`

Counts

4 → 142

Calls

4 calls:

27.0ms	(.f64 y (.f64 (cbrt.f64 (/.f64 (-.f64 z t) (-.f64 z a))) (cbrt.f64 (/.f64 (-.f64 z t) (-.f64 z a)))))
9.0ms	(cbrt.f64 (/.f64 (-.f64 z t) (-.f64 z a)))
9.0ms	(cbrt.f64 (/.f64 (-.f64 z t) (-.f64 z a)))
8.0ms	(cbrt.f64 (/.f64 (-.f64 z t) (-.f64 z a)))

series1.2s (17.9%)

Counts

4 → 12

Calls

4 calls:

413.0ms	(.f64 y (.f64 (cbrt.f64 (/.f64 (-.f64 z t) (-.f64 z a))) (cbrt.f64 (/.f64 (-.f64 z t) (-.f64 z a)))))
263.0ms	(cbrt.f64 (/.f64 (-.f64 z t) (-.f64 z a)))
249.0ms	(cbrt.f64 (/.f64 (-.f64 z t) (-.f64 z a)))
247.0ms	(cbrt.f64 (/.f64 (-.f64 z t) (-.f64 z a)))

simplify90.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5488	3541

prune158.0ms (2.4%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	154	0	154
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	154	8	162

Merged error: 0.0b

Counts

162 → 8

Compiler

Compiled 5883 to 960 computations (83.7% saved)

regimes163.0ms (2.5%)

Compiler: Compiled 1540 to 979 computations (36.4% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	39	47
1	39	47

end0.0ms (0%)

sample821.0ms (12.5%)

Algorithm

1×

intervals

Results

317.0ms	7999×	body	128	valid
38.0ms	724×	body	128	invalid
0.0ms	1×	body	1024	valid

Compiler

Compiled 228 to 146 computations (36% saved)

Details

analyze1.1s (16.3%)

sample24.0ms (0.4%)

simplify135.0ms (2.1%)

prune3.0ms (0%)

localize8.0ms (0.1%)

rewrite42.0ms (0.6%)

series231.0ms (3.5%)

simplify52.0ms (0.8%)

prune218.0ms (3.3%)

localize16.0ms (0.2%)

rewrite40.0ms (0.6%)

series844.0ms (12.9%)

simplify67.0ms (1%)

prune142.0ms (2.2%)

localize17.0ms (0.3%)

rewrite25.0ms (0.4%)

series965.0ms (14.7%)

simplify66.0ms (1%)

prune102.0ms (1.6%)

localize12.0ms (0.2%)

rewrite78.0ms (1.2%)

series1.2s (17.9%)

simplify90.0ms (1.4%)

prune158.0ms (2.4%)

regimes163.0ms (2.5%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample821.0ms (12.5%)

Profiling