Details

analyze169.0ms (4.4%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	681	19
1	681	19
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	100%	0%	3
75%	25%	0%	4
87.5%	12.5%	0%	5
93.7%	6.2%	0%	6
96.8%	3.1%	0%	7
98.4%	1.6%	0%	8
99.2%	0.8%	0%	9
99.6%	0.4%	0%	10
99.8%	0.2%	0%	11
99.9%	0.1%	0%	12
99.9%	0%	0%	13
99.9%	0%	0%	14

Compiler

Compiled 14 to 11 computations (21.4% saved)

sample28.0ms (0.7%)

Algorithm

1×

intervals

Results

13.0ms	71×	body	1024	valid
4.0ms	127×	body	128	valid
3.0ms	39×	body	512	valid
1.0ms	16×	body	256	valid
1.0ms	3×	body	2048	valid

Compiler

Compiled 27 to 22 computations (18.5% saved)

simplify80.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	681	19
1	681	19

prune2.0ms (0.1%)

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

32.0b

Counts

2 → 1

Compiler

Compiled 26 to 20 computations (23.1% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 x (+.f64 x 1))
0.0b	(/.f64 (+.f64 x 1) (-.f64 x 1))
3.3b	(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))

rewrite74.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Rules

148×	`*-un-lft-identity_binary64_5534`
88×	`times-frac_binary64_5540`
85×	`add-sqr-sqrt_binary64_5556`
37×	`add-cube-cbrt_binary64_5569`
34×	`cancel-sign-sub-inv_binary64_5500`
27×	`distribute-lft-out_binary64_5485`
22×	`distribute-lft-out--_binary64_5486` `difference-of-squares_binary64_5503`
11×	`associate-/r*_binary64_5478`
9×	`difference-of-sqr-1_binary64_5504`
7×	`add-cbrt-cube_binary64_5570` `associate-/l*_binary64_5479` `add-exp-log_binary64_5572`
6×	`associate-/r/_binary64_5480`
5×	`add-log-exp_binary64_5573`
3×	`div-inv_binary64_5531` `flip--_binary64_5509` `flip3--_binary64_5538` `pow1_binary64_5595`
2×	`flip-+_binary64_5508` `associate-/l/_binary64_5481` `flip3-+_binary64_5537` `div-exp_binary64_5585` `frac-2neg_binary64_5545` `clear-num_binary64_5533` `cbrt-undiv_binary64_5568`
1×	`diff-log_binary64_5626` `frac-sub_binary64_5543` `sub-neg_binary64_5527`

Counts

3 → 147

Calls

3 calls:

42.0ms	(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
12.0ms	(/.f64 (+.f64 x 1) (-.f64 x 1))
5.0ms	(/.f64 x (+.f64 x 1))

series62.0ms (1.6%)

Counts

3 → 9

Calls

3 calls:

36.0ms	(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
13.0ms	(/.f64 (+.f64 x 1) (-.f64 x 1))
12.0ms	(/.f64 x (+.f64 x 1))

simplify86.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5658	2774

prune204.0ms (5.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	153	3	156
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	154	3	157

Error

0.0b

Counts

157 → 3

Compiler

Compiled 3043 to 2145 computations (29.5% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (/.f64 3 x) (/.f64 3 (pow.f64 x 3)))
0.2b	(/.f64 3 (pow.f64 x 3))
1.1b	(/.f64 -1 (*.f64 x x))
6.2b	(-.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 3 x) (/.f64 3 (pow.f64 x 3))))

rewrite101.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Rules

73×	`*-un-lft-identity_binary64_5534`
68×	`times-frac_binary64_5540`
44×	`add-sqr-sqrt_binary64_5556`
40×	`add-cube-cbrt_binary64_5569`
14×	`add-exp-log_binary64_5572` `unpow3_binary64_5600`
13×	`cancel-sign-sub-inv_binary64_5500` `associate-/r*_binary64_5478`
12×	`cube-prod_binary64_5562` `unpow-prod-down_binary64_5613`
11×	`add-cbrt-cube_binary64_5570` `add-log-exp_binary64_5573` `distribute-lft-out_binary64_5485`
8×	`distribute-rgt-out_binary64_5487`
6×	`div-inv_binary64_5531` `associate-/l*_binary64_5479`
5×	`div-exp_binary64_5585`
4×	`cube-mult_binary64_5564` `sqr-pow_binary64_5506` `pow1_binary64_5595`
3×	`frac-sub_binary64_5543` `cbrt-undiv_binary64_5568`
2×	`flip-+_binary64_5508` `diff-log_binary64_5626` `flip3-+_binary64_5537` `distribute-lft-out--_binary64_5486` `sum-log_binary64_5625` `frac-2neg_binary64_5545` `distribute-rgt1-in_binary64_5490` `clear-num_binary64_5533` `difference-of-squares_binary64_5503` `frac-add_binary64_5542`
1×	`cbrt-unprod_binary64_5567` `associate--r+_binary64_5470` `+-commutative_binary64_5464` `flip--_binary64_5509` `pow-to-exp_binary64_5603` `flip3--_binary64_5538` `pow-exp_binary64_5602` `prod-exp_binary64_5583` `sub-neg_binary64_5527`

Counts

4 → 141

Calls

4 calls:

45.0ms	(-.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 3 x) (/.f64 3 (pow.f64 x 3))))
34.0ms	(+.f64 (/.f64 3 x) (/.f64 3 (pow.f64 x 3)))
5.0ms	(/.f64 3 (pow.f64 x 3))
4.0ms	(/.f64 -1 (*.f64 x x))

series104.0ms (2.7%)

Counts

4 → 12

Calls

4 calls:

48.0ms	(+.f64 (/.f64 3 x) (/.f64 3 (pow.f64 x 3)))
23.0ms	(/.f64 3 (pow.f64 x 3))
17.0ms	(-.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 3 x) (/.f64 3 (pow.f64 x 3))))
16.0ms	(/.f64 -1 (*.f64 x x))

simplify84.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5045	2493

prune172.0ms (4.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	152	1	153
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	152	4	156

Error

0.0b

Counts

156 → 4

Compiler

Compiled 3186 to 2218 computations (30.4% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 x (-.f64 x 1))
0.0b	(*.f64 (+.f64 x 1) (+.f64 x 1))
0.0b	(/.f64 (-.f64 (.f64 x (-.f64 x 1)) (.f64 (+.f64 x 1) (+.f64 x 1))) (+.f64 -1 (*.f64 x x)))
19.3b	(-.f64 (.f64 x (-.f64 x 1)) (.f64 (+.f64 x 1) (+.f64 x 1)))

rewrite67.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Rules

44×	`associate-*r/_binary64_5476`
39×	`*-un-lft-identity_binary64_5534`
32×	`frac-sub_binary64_5543`
31×	`flip-+_binary64_5508` `flip3-+_binary64_5537`
30×	`add-sqr-sqrt_binary64_5556`
22×	`add-cube-cbrt_binary64_5569`
20×	`frac-times_binary64_5544`
19×	`flip--_binary64_5509` `flip3--_binary64_5538`
18×	`associate-/l/_binary64_5481`
13×	`cancel-sign-sub-inv_binary64_5500` `pow1_binary64_5595`
11×	`associate-r_binary64_5474`
10×	`associate-*l/_binary64_5477` `distribute-rgt-in_binary64_5484` `add-cbrt-cube_binary64_5570` `distribute-lft-in_binary64_5483` `add-exp-log_binary64_5572`
9×	`times-frac_binary64_5540`
8×	`associate--l+_binary64_5471`
7×	`associate-l_binary64_5475`
6×	`swap-sqr_binary64_5501` `add-log-exp_binary64_5573` `distribute-lft-out_binary64_5485`
5×	`sub-neg_binary64_5527`
3×	`associate-/l_binary64_5479` `associate-/r_binary64_5478`
2×	`cbrt-unprod_binary64_5567` `associate--r+_binary64_5470` `*-commutative_binary64_5465` `unswap-sqr_binary64_5502` `associate-/r/_binary64_5480` `difference-of-squares_binary64_5503` `prod-exp_binary64_5583` `pow-prod-down_binary64_5605`
1×	`div-inv_binary64_5531` `diff-log_binary64_5626` `pow-plus_binary64_5597` `distribute-lft-out--_binary64_5486` `div-exp_binary64_5585` `frac-2neg_binary64_5545` `pow2_binary64_5615` `pow-sqr_binary64_5507` `clear-num_binary64_5533` `difference-of-sqr-1_binary64_5504` `div-sub_binary64_5539` `pow-prod-up_binary64_5604` `cbrt-undiv_binary64_5568`

Counts

4 → 158

Calls

4 calls:

18.0ms	(/.f64 (-.f64 (.f64 x (-.f64 x 1)) (.f64 (+.f64 x 1) (+.f64 x 1))) (+.f64 -1 (*.f64 x x)))
11.0ms	(-.f64 (.f64 x (-.f64 x 1)) (.f64 (+.f64 x 1) (+.f64 x 1)))
10.0ms	(*.f64 (+.f64 x 1) (+.f64 x 1))
8.0ms	(*.f64 x (-.f64 x 1))

series74.0ms (1.9%)

Counts

4 → 12

Calls

4 calls:

23.0ms	(*.f64 x (-.f64 x 1))
23.0ms	(-.f64 (.f64 x (-.f64 x 1)) (.f64 (+.f64 x 1) (+.f64 x 1)))
19.0ms	(/.f64 (-.f64 (.f64 x (-.f64 x 1)) (.f64 (+.f64 x 1) (+.f64 x 1))) (+.f64 -1 (*.f64 x x)))
9.0ms	(*.f64 (+.f64 x 1) (+.f64 x 1))

simplify112.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

170 → 170

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	5078	3890

prune257.0ms (6.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	169	1	170
Fresh	2	0	2
Picked	1	0	1
Done	0	1	1
Total	172	2	174

Error

0.0b

Counts

174 → 2

Compiler

Compiled 5140 to 3405 computations (33.8% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 -1 (*.f64 x 3))
15.4b	(/.f64 (-.f64 -1 (.f64 x 3)) (+.f64 -1 (.f64 x x)))

rewrite12.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`*-un-lft-identity_binary64_5534` `add-sqr-sqrt_binary64_5556` `add-cube-cbrt_binary64_5569`
9×	`times-frac_binary64_5540`
4×	`add-cbrt-cube_binary64_5570` `add-log-exp_binary64_5573` `add-exp-log_binary64_5572`
3×	`associate-/l_binary64_5479` `associate-/r_binary64_5478`
2×	`associate-/l/_binary64_5481` `flip--_binary64_5509` `associate-/r/_binary64_5480` `flip3--_binary64_5538` `pow1_binary64_5595`
1×	`div-inv_binary64_5531` `flip-+_binary64_5508` `diff-log_binary64_5626` `cancel-sign-sub-inv_binary64_5500` `flip3-+_binary64_5537` `div-exp_binary64_5585` `frac-2neg_binary64_5545` `clear-num_binary64_5533` `div-sub_binary64_5539` `sub-neg_binary64_5527` `cbrt-undiv_binary64_5568`

Counts

2 → 44

Calls

2 calls:

6.0ms	(/.f64 (-.f64 -1 (.f64 x 3)) (+.f64 -1 (.f64 x x)))
3.0ms	(-.f64 -1 (*.f64 x 3))

series40.0ms (1%)

Counts

2 → 6

Calls

2 calls:

22.0ms	(-.f64 -1 (*.f64 x 3))
17.0ms	(/.f64 (-.f64 -1 (.f64 x 3)) (+.f64 -1 (.f64 x x)))

simplify68.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4906	987
1	4906	987

prune50.0ms (1.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	49	1	50
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	49	3	52

Error

Counts

52 → 3

Compiler

Compiled 919 to 639 computations (30.5% saved)

regimes239.0ms (6.3%)

Accuracy

Total 0.0b remaining (96.8%)

Threshold costs 0.0b (96.8%)

Compiler

Compiled 2561 to 1968 computations (23.2% saved)

bsearch28.0ms (0.7%)

Steps

Iters	Range		Point
8	1413.955743124649	5229414.914987742	683394.7402826605
5	-3475132.437772769	-1323468.353490348	-2698086.9467811254

Compiler

Compiled 1 to 1 computations (0% saved)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	202	73
1	202	73

end0.0ms (0%)

sample1.7s (43.7%)

Algorithm

1×

intervals

Results

244.0ms	2026×	body	1024	valid
137.0ms	4307×	body	128	valid
84.0ms	940×	body	512	valid
34.0ms	233×	body	2048	valid
29.0ms	494×	body	256	valid

Compiler

Compiled 1258 to 963 computations (23.4% saved)

Details

analyze169.0ms (4.4%)

sample28.0ms (0.7%)

simplify80.0ms (2.1%)

prune2.0ms (0.1%)

localize6.0ms (0.2%)

rewrite74.0ms (1.9%)

series62.0ms (1.6%)

simplify86.0ms (2.2%)

prune204.0ms (5.3%)

localize9.0ms (0.2%)

rewrite101.0ms (2.6%)

series104.0ms (2.7%)

simplify84.0ms (2.2%)

prune172.0ms (4.5%)

localize10.0ms (0.3%)

rewrite67.0ms (1.8%)

series74.0ms (1.9%)

simplify112.0ms (2.9%)

prune257.0ms (6.7%)

localize6.0ms (0.2%)

rewrite12.0ms (0.3%)

series40.0ms (1%)

simplify68.0ms (1.8%)

prune50.0ms (1.3%)

regimes239.0ms (6.3%)

bsearch28.0ms (0.7%)

simplify7.0ms (0.2%)

end0.0ms (0%)

sample1.7s (43.7%)

Profiling