Details

analyze406.0ms (5.4%)

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)

sample27.0ms (0.4%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
0.0ms	13×	body	128	invalid

Compiler

Compiled 23 to 24 computations (-4.3% saved)

simplify9.0ms (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

5.9b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

3.4b	(/.f64 (/.f64 1 x) (.f64 y (+.f64 1 (.f64 z z))))
3.8b	(.f64 y (+.f64 1 (.f64 z z)))

rewrite119.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

4.9b

Rules

31×	`times-frac_binary64_5881`
26×	`add-exp-log_binary64_5913`
20×	`add-sqr-sqrt_binary64_5897`
18×	`add-cube-cbrt_binary64_5910` `*-un-lft-identity_binary64_5875`
16×	`add-cbrt-cube_binary64_5911`
13×	`associate-/l*_binary64_5820`
12×	`div-exp_binary64_5926`
6×	`cbrt-undiv_binary64_5909`
5×	`prod-exp_binary64_5924`
4×	`pow1_binary64_5936` `associate-*r/_binary64_5817`
3×	`cbrt-unprod_binary64_5908` `associate-l_binary64_5816` `associate-r_binary64_5815` `div-inv_binary64_5872`
2×	`add-log-exp_binary64_5914` `flip3-+_binary64_5878` `flip-+_binary64_5849` `1-exp_binary64_5919` `rec-exp_binary64_5925` `associate-/r/_binary64_5821`
1×	`pow-prod-down_binary64_5946` `unswap-sqr_binary64_5843` `distribute-rgt-in_binary64_5825` `distribute-lft-in_binary64_5824` `-commutative_binary64_5806` `frac-2neg_binary64_5886` `clear-num_binary64_5874` `associate-/l/_binary64_5822` `associate-/r_binary64_5819`

Counts

2 → 74

Calls

2 calls:

9.0ms	(/.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)

series336.0ms (4.5%)

Error

5.0b

Counts

2 → 27

Calls

2 calls:

219.0ms	(/.f64 (/.f64 1 x) (.f64 y (+.f64 1 (.f64 z z))))
90.0ms	(.f64 y (+.f64 1 (.f64 z z)))

Compiler

Compiled 962 to 756 computations (21.4% saved)

simplify83.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4981	1800
1	4981	1800

prune110.0ms (1.5%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	91	10	101
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	92	10	102

Error

4.9b

Counts

102 → 10

Compiler

Compiled 1765 to 1026 computations (41.9% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.3b	(/.f64 1 (.f64 y (+.f64 (.f64 z z) 1)))
3.4b	(.f64 (/.f64 1 x) (/.f64 1 (.f64 y (+.f64 (*.f64 z z) 1))))
3.8b	(.f64 y (+.f64 (.f64 z z) 1))

rewrite176.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

4.9b

Rules

99×	`add-exp-log_binary64_5913`
44×	`prod-exp_binary64_5924`
34×	`div-exp_binary64_5926`
31×	`add-cbrt-cube_binary64_5911`
25×	`add-sqr-sqrt_binary64_5897`
17×	`*-un-lft-identity_binary64_5875` `1-exp_binary64_5919` `rec-exp_binary64_5925` `times-frac_binary64_5881`
16×	`add-cube-cbrt_binary64_5910` `associate-l_binary64_5816`
15×	`pow1_binary64_5936`
12×	`associate-r_binary64_5815`
10×	`cbrt-unprod_binary64_5908`
9×	`cbrt-undiv_binary64_5909`
7×	`pow-prod-down_binary64_5946` `associate-*r/_binary64_5817`
6×	`pow-flip_binary64_5949`
4×	`unswap-sqr_binary64_5843` `associate-/r/_binary64_5821`
3×	`add-log-exp_binary64_5914` `flip3-+_binary64_5878` `flip-+_binary64_5849` `inv-pow_binary64_5960` `div-inv_binary64_5872` `associate-/l*_binary64_5820`
2×	`*-commutative_binary64_5806`
1×	`distribute-rgt-in_binary64_5825` `distribute-lft-in_binary64_5824` `frac-times_binary64_5885` `un-div-inv_binary64_5873` `associate-l/_binary64_5818` `frac-2neg_binary64_5886` `clear-num_binary64_5874` `associate-/r_binary64_5819`

Counts

3 → 127

Calls

3 calls:

17.0ms	(.f64 (/.f64 1 x) (/.f64 1 (.f64 y (+.f64 (*.f64 z z) 1))))
10.0ms	(.f64 y (+.f64 (.f64 z z) 1))
8.0ms	(/.f64 1 (.f64 y (+.f64 (.f64 z z) 1)))

Compiler

Compiled 2595 to 1633 computations (37.1% saved)

series479.0ms (6.4%)

Error

4.9b

Counts

3 → 42

Calls

3 calls:

239.0ms	(.f64 (/.f64 1 x) (/.f64 1 (.f64 y (+.f64 (*.f64 z z) 1))))
114.0ms	(/.f64 1 (.f64 y (+.f64 (.f64 z z) 1)))
85.0ms	(.f64 y (+.f64 (.f64 z z) 1))

Compiler

Compiled 1623 to 1308 computations (19.4% saved)

simplify111.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

169 → 169

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	4930	2809
1	4930	2809

prune158.0ms (2.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	167	2	169
Fresh	4	5	9
Picked	0	1	1
Done	0	0	0
Total	171	8	179

Error

4.9b

Counts

179 → 8

Compiler

Compiled 2853 to 1759 computations (38.3% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.3b	(/.f64 1 (.f64 y (+.f64 (.f64 z z) 1)))
3.3b	(/.f64 (/.f64 1 (.f64 y (+.f64 (.f64 z z) 1))) x)
3.8b	(.f64 y (+.f64 (.f64 z z) 1))

rewrite139.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

4.9b

Rules

42×	`times-frac_binary64_5881`
35×	`add-exp-log_binary64_5913`
27×	`add-sqr-sqrt_binary64_5897`
25×	`add-cube-cbrt_binary64_5910` `*-un-lft-identity_binary64_5875`
19×	`add-cbrt-cube_binary64_5911`
15×	`div-exp_binary64_5926`
12×	`associate-r/_binary64_5817` `associate-/l_binary64_5820`
10×	`associate-/r/_binary64_5821`
8×	`pow1_binary64_5936`
7×	`prod-exp_binary64_5924` `cbrt-undiv_binary64_5909`
6×	`flip3-+_binary64_5878` `flip-+_binary64_5849` `div-inv_binary64_5872`
4×	`1-exp_binary64_5919` `rec-exp_binary64_5925` `associate-/r*_binary64_5819`
3×	`add-log-exp_binary64_5914` `cbrt-unprod_binary64_5908` `associate-l_binary64_5816` `associate-r_binary64_5815`
2×	`pow-prod-down_binary64_5946` `frac-2neg_binary64_5886` `clear-num_binary64_5874` `pow-flip_binary64_5949`
1×	`unswap-sqr_binary64_5843` `distribute-rgt-in_binary64_5825` `distribute-lft-in_binary64_5824` `*-commutative_binary64_5806` `associate-/l/_binary64_5822` `inv-pow_binary64_5960`

Counts

3 → 112

Calls

3 calls:

11.0ms	(/.f64 (/.f64 1 (.f64 y (+.f64 (.f64 z z) 1))) x)
8.0ms	(/.f64 1 (.f64 y (+.f64 (.f64 z z) 1)))
7.0ms	(.f64 y (+.f64 (.f64 z z) 1))

Compiler

Compiled 2238 to 1284 computations (42.6% saved)

series442.0ms (5.9%)

Error

4.9b

Counts

3 → 42

Calls

3 calls:

206.0ms	(/.f64 (/.f64 1 (.f64 y (+.f64 (.f64 z z) 1))) x)
112.0ms	(/.f64 1 (.f64 y (+.f64 (.f64 z z) 1)))
85.0ms	(.f64 y (+.f64 (.f64 z z) 1))

Compiler

Compiled 1509 to 1194 computations (20.9% saved)

simplify96.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4934	2937
1	4934	2937

prune131.0ms (1.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	153	1	154
Fresh	2	4	6
Picked	0	1	1
Done	0	1	1
Total	155	7	162

Error

4.9b

Counts

162 → 7

Compiler

Compiled 2645 to 1362 computations (48.5% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.9b	(/.f64 1 (.f64 y (+.f64 x (.f64 (*.f64 z z) x))))
2.7b	(.f64 y (+.f64 x (.f64 (*.f64 z z) x)))
8.6b	(.f64 (.f64 z z) x)

rewrite82.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

2.3b

Rules

21×	`add-exp-log_binary64_5913`
15×	`add-cbrt-cube_binary64_5911`
13×	`pow1_binary64_5936`
11×	`add-sqr-sqrt_binary64_5897`
9×	`*-un-lft-identity_binary64_5875`
8×	`add-cube-cbrt_binary64_5910` `associate-r_binary64_5815`
7×	`prod-exp_binary64_5924`
5×	`pow-prod-down_binary64_5946` `cbrt-unprod_binary64_5908`
4×	`associate-l_binary64_5816` `associate-*r/_binary64_5817` `div-exp_binary64_5926`
3×	`add-log-exp_binary64_5914` `times-frac_binary64_5881` `associate-/l*_binary64_5820`
2×	`unswap-sqr_binary64_5843` `*-commutative_binary64_5806` `flip3-+_binary64_5878` `flip-+_binary64_5849` `pow-flip_binary64_5949` `1-exp_binary64_5919` `rec-exp_binary64_5925` `cbrt-undiv_binary64_5909` `associate-/r/_binary64_5821`
1×	`distribute-rgt-in_binary64_5825` `distribute-lft-in_binary64_5824` `distribute-rgt1-in_binary64_5831` `distribute-rgt-out_binary64_5828` `inv-pow_binary64_5960` `frac-2neg_binary64_5886` `clear-num_binary64_5874` `div-inv_binary64_5872` `associate-/r*_binary64_5819`

Counts

3 → 73

Calls

3 calls:

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

Compiler

Compiled 1314 to 412 computations (68.6% saved)

series458.0ms (6.1%)

Error

4.9b

Counts

3 → 36

Calls

3 calls:

213.0ms	(/.f64 1 (.f64 y (+.f64 x (.f64 (*.f64 z z) x))))
157.0ms	(.f64 y (+.f64 x (.f64 (*.f64 z z) x)))
60.0ms	(.f64 (.f64 z z) x)

Compiler

Compiled 1277 to 995 computations (22.1% saved)

simplify101.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	4976	1667
1	4976	1667

prune73.0ms (1%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	106	3	109
Fresh	1	3	4
Picked	1	0	1
Done	0	2	2
Total	108	8	116

Error

2.3b

Counts

116 → 8

Compiler

Compiled 1645 to 534 computations (67.5% saved)

regimes1.6s (21%)

Accuracy

Total 1.0b remaining (30.2%)

Threshold costs 1.0b (30.2%)

Compiler

Compiled 16709 to 13441 computations (19.6% saved)

bsearch5.0ms (0.1%)

Compiler: Compiled 3 to 5 computations (-66.7% saved)

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	35	52
1	35	52

Compiler

Compiled 70 to 54 computations (22.9% saved)

end0.0ms (0%)

sample2.3s (31.1%)

Algorithm

1×

intervals

Results

295.0ms	8000×	body	128	valid
15.0ms	432×	body	128	invalid

Compiler

Compiled 1765 to 1410 computations (20.1% saved)

Details

analyze406.0ms (5.4%)

sample27.0ms (0.4%)

simplify9.0ms (0.1%)

prune3.0ms (0%)

localize8.0ms (0.1%)

rewrite119.0ms (1.6%)

series336.0ms (4.5%)

simplify83.0ms (1.1%)

prune110.0ms (1.5%)

localize9.0ms (0.1%)

rewrite176.0ms (2.4%)

series479.0ms (6.4%)

simplify111.0ms (1.5%)

prune158.0ms (2.1%)

localize8.0ms (0.1%)

rewrite139.0ms (1.9%)

series442.0ms (5.9%)

simplify96.0ms (1.3%)

prune131.0ms (1.8%)

localize8.0ms (0.1%)

rewrite82.0ms (1.1%)

series458.0ms (6.1%)

simplify101.0ms (1.3%)

prune73.0ms (1%)

regimes1.6s (21%)

bsearch5.0ms (0.1%)

simplify11.0ms (0.1%)

end0.0ms (0%)

sample2.3s (31.1%)

Profiling