Details

analyze1.1s (16.2%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4968	91
1	4968	91
0	4	4
1	4	4

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
16.4%	83.4%	0.2%	9
21.4%	78.4%	0.2%	10
25.9%	73.3%	0.8%	11
28%	70.2%	1.9%	12
39.6%	55.8%	4.6%	13
43.9%	50.4%	5.8%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample25.0ms (0.4%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
2.0ms	69×	body	128	invalid

Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify58.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	734	13
1	734	13

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

3.9b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))
0.0b	(*.f64 y (-.f64 z x))
4.7b	(/.f64 (*.f64 y (-.f64 z x)) t)

rewrite82.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

13×	`add-sqr-sqrt_binary64_11694` `*-un-lft-identity_binary64_11672`
10×	`add-exp-log_binary64_11710` `add-cbrt-cube_binary64_11708`
9×	`add-cube-cbrt_binary64_11707`
6×	`cancel-sign-sub-inv_binary64_11638`
5×	`pow1_binary64_11733` `add-log-exp_binary64_11711` `associate-r_binary64_11612`
4×	`associate-*r/_binary64_11614` `distribute-rgt-in_binary64_11622` `distribute-lft-in_binary64_11621`
3×	`times-frac_binary64_11678` `associate-/r_binary64_11616` `associate-l*_binary64_11613`
2×	`prod-exp_binary64_11721` `div-exp_binary64_11723` `cbrt-undiv_binary64_11706` `cbrt-unprod_binary64_11705` `flip3--_binary64_11676` `associate-/l/_binary64_11619` `flip--_binary64_11647` `sub-neg_binary64_11665`
1×	`frac-2neg_binary64_11683` `clear-num_binary64_11671` `div-inv_binary64_11669` `associate-/l_binary64_11617` `pow-prod-down_binary64_11743` `unswap-sqr_binary64_11640` `difference-of-squares_binary64_11641` `distribute-lft-out--_binary64_11624` `-commutative_binary64_11603` `sum-log_binary64_11763` `flip3-+_binary64_11675` `flip-+_binary64_11646` `distribute-lft-out_binary64_11623` `+-commutative_binary64_11602`

Counts

3 → 65

Calls

3 calls:

13.0ms	(/.f64 (*.f64 y (-.f64 z x)) t)
7.0ms	(*.f64 y (-.f64 z x))
5.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))

Compiler

Compiled 1047 to 299 computations (71.4% saved)

series641.0ms (9.8%)

Error

0.1b

Counts

3 → 57

Calls

3 calls:

279.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))
202.0ms	(/.f64 (*.f64 y (-.f64 z x)) t)
99.0ms	(*.f64 y (-.f64 z x))

Compiler

Compiled 1493 to 861 computations (42.3% saved)

simplify62.0ms (1%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5049	1318

prune81.0ms (1.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	116	6	122
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	116	7	123

Error

Counts

123 → 7

Compiler

Compiled 1427 to 297 computations (79.2% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 t)
0.6b	(cbrt.f64 t)
0.6b	(cbrt.f64 t)
3.0b	(.f64 (/.f64 y (.f64 (cbrt.f64 t) (cbrt.f64 t))) (/.f64 (-.f64 z x) (cbrt.f64 t)))

rewrite122.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

54×	`add-sqr-sqrt_binary64_11694`
40×	`times-frac_binary64_11678`
38×	`*-un-lft-identity_binary64_11672`
34×	`associate-r_binary64_11612`
26×	`add-cube-cbrt_binary64_11707` `cbrt-prod_binary64_11703`
25×	`add-exp-log_binary64_11710`
18×	`add-cbrt-cube_binary64_11708`
8×	`prod-exp_binary64_11721` `cbrt-unprod_binary64_11705`
7×	`div-exp_binary64_11723` `cbrt-undiv_binary64_11706` `associate-l_binary64_11613`
6×	`pow1_binary64_11733` `unswap-sqr_binary64_11640` `difference-of-squares_binary64_11641` `distribute-lft-out--_binary64_11624`
4×	`add-log-exp_binary64_11711`
3×	`pow1/3_binary64_11754`
2×	`div-inv_binary64_11669`
1×	`pow-prod-down_binary64_11743` `frac-times_binary64_11682` `associate-l/_binary64_11615` `associate-r/_binary64_11614` `*-commutative_binary64_11603`

Counts

4 → 104

Calls

4 calls:

20.0ms	(.f64 (/.f64 y (.f64 (cbrt.f64 t) (cbrt.f64 t))) (/.f64 (-.f64 z x) (cbrt.f64 t)))
1.0ms	(cbrt.f64 t)
1.0ms	(cbrt.f64 t)
1.0ms	(cbrt.f64 t)

Compiler

Compiled 2571 to 507 computations (80.3% saved)

series473.0ms (7.3%)

Error

Counts

4 → 27

Calls

4 calls:

228.0ms	(.f64 (/.f64 y (.f64 (cbrt.f64 t) (cbrt.f64 t))) (/.f64 (-.f64 z x) (cbrt.f64 t)))
81.0ms	(cbrt.f64 t)
76.0ms	(cbrt.f64 t)
72.0ms	(cbrt.f64 t)

Compiler

Compiled 1029 to 652 computations (36.6% saved)

simplify81.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4963	1780
1	4963	1780

prune96.0ms (1.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	131	0	131
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	131	7	138

Error

Counts

138 → 7

Compiler

Compiled 2436 to 665 computations (72.7% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (/.f64 1 (/.f64 t (*.f64 (-.f64 z x) y))))
0.0b	(*.f64 (-.f64 z x) y)
0.3b	(/.f64 1 (/.f64 t (*.f64 (-.f64 z x) y)))
4.7b	(/.f64 t (*.f64 (-.f64 z x) y))

rewrite142.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

42×	`times-frac_binary64_11678`
32×	`add-exp-log_binary64_11710`
31×	`*-un-lft-identity_binary64_11672`
30×	`add-sqr-sqrt_binary64_11694`
26×	`add-cube-cbrt_binary64_11707`
20×	`add-cbrt-cube_binary64_11708`
14×	`div-exp_binary64_11723`
12×	`associate-*l/_binary64_11615`
11×	`associate-/r/_binary64_11618`
10×	`associate-/r*_binary64_11616`
7×	`pow1_binary64_11733` `cbrt-undiv_binary64_11706` `div-inv_binary64_11669`
6×	`add-log-exp_binary64_11711` `flip3--_binary64_11676` `flip--_binary64_11647` `associate-/l*_binary64_11617`
5×	`prod-exp_binary64_11721` `associate-l_binary64_11613`
3×	`cbrt-unprod_binary64_11705` `1-exp_binary64_11716` `rec-exp_binary64_11722` `associate-r_binary64_11612`
2×	`frac-2neg_binary64_11683` `clear-num_binary64_11671` `distribute-lft-out_binary64_11623`
1×	`inv-pow_binary64_11757` `pow-flip_binary64_11746` `pow-prod-down_binary64_11743` `unswap-sqr_binary64_11640` `difference-of-squares_binary64_11641` `distribute-lft-out--_binary64_11624` `*-commutative_binary64_11603` `sum-log_binary64_11763` `flip3-+_binary64_11675` `flip-+_binary64_11646` `+-commutative_binary64_11602`

Counts

4 → 122

Calls

4 calls:

11.0ms	(+.f64 x (/.f64 1 (/.f64 t (*.f64 (-.f64 z x) y))))
9.0ms	(/.f64 1 (/.f64 t (*.f64 (-.f64 z x) y)))
7.0ms	(/.f64 t (*.f64 (-.f64 z x) y))
6.0ms	(*.f64 (-.f64 z x) y)

Compiler

Compiled 2347 to 874 computations (62.8% saved)

series780.0ms (12%)

Error

Counts

4 → 75

Calls

4 calls:

265.0ms	(+.f64 x (/.f64 1 (/.f64 t (*.f64 (-.f64 z x) y))))
198.0ms	(/.f64 1 (/.f64 t (*.f64 (-.f64 z x) y)))
176.0ms	(/.f64 t (*.f64 (-.f64 z x) y))
101.0ms	(*.f64 (-.f64 z x) y)

Compiler

Compiled 2324 to 1468 computations (36.8% saved)

simplify90.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

197 → 197

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4966	2624
1	4966	2624

prune123.0ms (1.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	195	2	197
Fresh	2	2	4
Picked	1	0	1
Done	0	2	2
Total	198	6	204

Error

Counts

204 → 6

Compiler

Compiled 2727 to 796 computations (70.8% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (/.f64 (-.f64 z x) (/.f64 t y)))
5.5b	(/.f64 (-.f64 z x) (/.f64 t y))

rewrite125.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

119×	`times-frac_binary64_11678`
88×	`*-un-lft-identity_binary64_11672`
86×	`add-sqr-sqrt_binary64_11694`
58×	`add-cube-cbrt_binary64_11707`
14×	`difference-of-squares_binary64_11641` `distribute-lft-out--_binary64_11624`
13×	`associate-/r*_binary64_11616`
7×	`add-exp-log_binary64_11710` `add-cbrt-cube_binary64_11708` `div-inv_binary64_11669`
5×	`associate-/l*_binary64_11617`
4×	`add-log-exp_binary64_11711`
3×	`div-exp_binary64_11723` `cbrt-undiv_binary64_11706`
2×	`pow1_binary64_11733` `div-sub_binary64_11677` `associate-/l/_binary64_11619`
1×	`frac-2neg_binary64_11683` `clear-num_binary64_11671` `flip3--_binary64_11676` `flip--_binary64_11647` `associate-/r/_binary64_11618` `sum-log_binary64_11763` `flip3-+_binary64_11675` `flip-+_binary64_11646` `distribute-lft-out_binary64_11623` `associate-+r-_binary64_11606` `+-commutative_binary64_11602`

Counts

2 → 114

Calls

2 calls:

19.0ms	(+.f64 x (/.f64 (-.f64 z x) (/.f64 t y)))
11.0ms	(/.f64 (-.f64 z x) (/.f64 t y))

Compiler

Compiled 2282 to 559 computations (75.5% saved)

series485.0ms (7.5%)

Error

Counts

2 → 42

Calls

2 calls:

266.0ms	(+.f64 x (/.f64 (-.f64 z x) (/.f64 t y)))
202.0ms	(/.f64 (-.f64 z x) (/.f64 t y))

Compiler

Compiled 1118 to 645 computations (42.3% saved)

simplify94.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4997	2932
1	4997	2932

prune98.0ms (1.5%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	156	0	156
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	156	6	162

Error

Counts

162 → 6

Compiler

Compiled 2410 to 417 computations (82.7% saved)

regimes358.0ms (5.5%)

Accuracy

Total 2.0b remaining (99.9%)

Threshold costs 0b (0%)

Compiler

Compiled 2271 to 1728 computations (23.9% saved)

bsearch36.0ms (0.6%)

Steps

Iters	Range		Point
9	1.3004042446324318e-245	3.3309991194585237e-237	1.020953492061312e-244
6	-1.1489307382960059e-82	-8.022187171439392e-84	-1.1960217229363404e-83

Compiler

Compiled 1 to 4 computations (-300% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	43
1	37	43

end0.0ms (0%)

sample1.4s (20.9%)

Algorithm

1×

intervals

Results

468.0ms	8000×	body	128	valid
61.0ms	2058×	body	128	invalid

Compiler

Compiled 502 to 379 computations (24.5% saved)

Details

analyze1.1s (16.2%)

sample25.0ms (0.4%)

simplify58.0ms (0.9%)

prune3.0ms (0%)

localize7.0ms (0.1%)

rewrite82.0ms (1.3%)

series641.0ms (9.8%)

simplify62.0ms (1%)

prune81.0ms (1.2%)

localize11.0ms (0.2%)

rewrite122.0ms (1.9%)

series473.0ms (7.3%)

simplify81.0ms (1.2%)

prune96.0ms (1.5%)

localize8.0ms (0.1%)

rewrite142.0ms (2.2%)

series780.0ms (12%)

simplify90.0ms (1.4%)

prune123.0ms (1.9%)

localize6.0ms (0.1%)

rewrite125.0ms (1.9%)

series485.0ms (7.5%)

simplify94.0ms (1.4%)

prune98.0ms (1.5%)

regimes358.0ms (5.5%)

bsearch36.0ms (0.6%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.4s (20.9%)

Profiling