Details

analyze111.0ms (1.7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	192	22
1	192	22
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	50%	0%	4
75%	25%	0%	5
87.5%	12.5%	0%	6
93.7%	6.2%	0%	7
96.8%	3.1%	0%	8
98.4%	1.6%	0%	9
99.2%	0.8%	0%	10
99.6%	0.4%	0%	11
99.8%	0.2%	0%	12
99.9%	0.1%	0%	13
99.9%	0.1%	0.1%	14

Compiler

Compiled 16 to 14 computations (12.5% saved)

sample25.0ms (0.4%)

Algorithm

1×

intervals

Results

6.0ms	42×	body	1024	valid
5.0ms	47×	body	512	valid
5.0ms	129×	body	128	valid
3.0ms	38×	body	256	valid

Compiler

Compiled 31 to 28 computations (9.7% saved)

simplify13.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	192	22
1	192	22

prune3.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

9.8b

Counts

2 → 1

Compiler

Compiled 30 to 26 computations (13.3% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 1 (+.f64 x 1))
0.0b	(/.f64 1 (-.f64 x 1))
0.0b	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x))
2.9b	(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))

rewrite318.0ms (4.7%)

Algorithm

1×	rewrite-expression-head

Error

9.1b

Rules

112×	`*-un-lft-identity_binary64_2465`
74×	`times-frac_binary64_2471`
72×	`add-sqr-sqrt_binary64_2487`
39×	`add-cube-cbrt_binary64_2500`
26×	`cancel-sign-sub-inv_binary64_2431`
18×	`distribute-lft-out--_binary64_2417`
17×	`distribute-lft-out_binary64_2416`
14×	`associate-+l+_binary64_2398` `difference-of-squares_binary64_2434`
12×	`add-exp-log_binary64_2503`
11×	`add-log-exp_binary64_2504` `associate-/r*_binary64_2409`
10×	`div-inv_binary64_2462`
8×	`add-cbrt-cube_binary64_2501`
6×	`pow1_binary64_2526` `associate-/l*_binary64_2410`
4×	`div-exp_binary64_2516` `difference-of-sqr-1_binary64_2435` `associate-/r/_binary64_2411`
3×	`frac-add_binary64_2473` `flip3--_binary64_2469` `flip--_binary64_2440`
2×	`diff-log_binary64_2557` `sum-log_binary64_2556` `frac-sub_binary64_2474` `flip3-+_binary64_2468` `flip-+_binary64_2439` `sub-neg_binary64_2458` `inv-pow_binary64_2550` `pow-flip_binary64_2539` `1-exp_binary64_2509` `rec-exp_binary64_2515` `cbrt-undiv_binary64_2499` `frac-2neg_binary64_2476` `clear-num_binary64_2464`
1×	`associate-+l-_binary64_2400` `+-commutative_binary64_2395`

Counts

4 → 161

Calls

4 calls:

45.0ms	(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
20.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x))
6.0ms	(/.f64 1 (-.f64 x 1))
6.0ms	(/.f64 1 (+.f64 x 1))

Compiler

Compiled 3810 to 3089 computations (18.9% saved)

series233.0ms (3.5%)

Error

0.3b

Counts

4 → 46

Calls

4 calls:

91.0ms	(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
34.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x))
32.0ms	(/.f64 1 (+.f64 x 1))
30.0ms	(/.f64 1 (-.f64 x 1))

Compiler

Compiled 1698 to 1417 computations (16.5% saved)

simplify82.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

207 → 207

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4985	3235
1	4985	3235

prune248.0ms (3.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	206	1	207
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	206	2	208

Error

0.3b

Counts

208 → 2

Compiler

Compiled 4109 to 3257 computations (20.7% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 5))) (/.f64 2 (pow.f64 x 7)))
0.0b	(/.f64 2 (pow.f64 x 7))
0.2b	(/.f64 2 (pow.f64 x 5))
0.4b	(/.f64 2 (pow.f64 x 3))

rewrite410.0ms (6.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

87×	`times-frac_binary64_2471`
78×	`*-un-lft-identity_binary64_2465`
64×	`add-cube-cbrt_binary64_2500` `add-sqr-sqrt_binary64_2487`
36×	`unpow-prod-down_binary64_2544`
26×	`associate-/r*_binary64_2409`
19×	`add-exp-log_binary64_2503`
12×	`cube-prod_binary64_2493` `sqr-pow_binary64_2437`
11×	`distribute-lft-out_binary64_2416`
10×	`add-cbrt-cube_binary64_2501`
9×	`div-exp_binary64_2516` `add-log-exp_binary64_2504` `associate-/l*_binary64_2410`
6×	`div-inv_binary64_2462`
4×	`pow1_binary64_2526` `unpow3_binary64_2531` `cube-mult_binary64_2495` `frac-add_binary64_2473`
3×	`pow-to-exp_binary64_2534` `pow-exp_binary64_2533` `cbrt-undiv_binary64_2499` `frac-2neg_binary64_2476` `clear-num_binary64_2464` `sum-log_binary64_2556`
2×	`flip3-+_binary64_2468` `flip-+_binary64_2439`
1×	`associate-+l+_binary64_2398` `+-commutative_binary64_2395`

Counts

4 → 177

Calls

4 calls:

66.0ms	(+.f64 (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 5))) (/.f64 2 (pow.f64 x 7)))
6.0ms	(/.f64 2 (pow.f64 x 3))
5.0ms	(/.f64 2 (pow.f64 x 5))
5.0ms	(/.f64 2 (pow.f64 x 7))

Compiler

Compiled 4620 to 3797 computations (17.8% saved)

series322.0ms (4.8%)

Error

0.3b

Counts

4 → 18

Calls

4 calls:

179.0ms	(+.f64 (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 5))) (/.f64 2 (pow.f64 x 7)))
48.0ms	(/.f64 2 (pow.f64 x 7))
43.0ms	(/.f64 2 (pow.f64 x 5))
37.0ms	(/.f64 2 (pow.f64 x 3))

Compiler

Compiled 786 to 691 computations (12.1% saved)

simplify92.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

195 → 195

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4983	3138
1	4983	3138

prune300.0ms (4.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	192	3	195
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	192	5	197

Error

Counts

197 → 5

Compiler

Compiled 4535 to 3680 computations (18.9% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (+.f64 (/.f64 (/.f64 2 x) (*.f64 x x)) (/.f64 2 (pow.f64 x 5))) (/.f64 2 (pow.f64 x 7)))
0.0b	(/.f64 2 (pow.f64 x 7))
0.1b	(/.f64 (/.f64 2 x) (*.f64 x x))
0.2b	(/.f64 2 (pow.f64 x 5))

rewrite301.0ms (4.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

73×	`times-frac_binary64_2471`
55×	`*-un-lft-identity_binary64_2465`
50×	`add-cube-cbrt_binary64_2500` `add-sqr-sqrt_binary64_2487`
26×	`add-exp-log_binary64_2503`
24×	`unpow-prod-down_binary64_2544`
20×	`add-cbrt-cube_binary64_2501`
19×	`associate-/l*_binary64_2410`
15×	`associate-/r*_binary64_2409`
12×	`div-exp_binary64_2516`
9×	`add-log-exp_binary64_2504`
8×	`cbrt-undiv_binary64_2499` `sqr-pow_binary64_2437`
5×	`div-inv_binary64_2462`
4×	`pow1_binary64_2526` `frac-add_binary64_2473`
3×	`frac-2neg_binary64_2476` `clear-num_binary64_2464` `sum-log_binary64_2556` `distribute-lft-out_binary64_2416`
2×	`pow-to-exp_binary64_2534` `pow-exp_binary64_2533` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498` `flip3-+_binary64_2468` `flip-+_binary64_2439`
1×	`associate-/l/_binary64_2412` `associate-+l+_binary64_2398` `+-commutative_binary64_2395`

Counts

4 → 154

Calls

4 calls:

37.0ms	(+.f64 (+.f64 (/.f64 (/.f64 2 x) (*.f64 x x)) (/.f64 2 (pow.f64 x 5))) (/.f64 2 (pow.f64 x 7)))
9.0ms	(/.f64 (/.f64 2 x) (*.f64 x x))
5.0ms	(/.f64 2 (pow.f64 x 5))
4.0ms	(/.f64 2 (pow.f64 x 7))

Compiler

Compiled 4375 to 3106 computations (29% saved)

series319.0ms (4.8%)

Error

Counts

4 → 18

Calls

4 calls:

184.0ms	(+.f64 (+.f64 (/.f64 (/.f64 2 x) (*.f64 x x)) (/.f64 2 (pow.f64 x 5))) (/.f64 2 (pow.f64 x 7)))
43.0ms	(/.f64 2 (pow.f64 x 7))
42.0ms	(/.f64 2 (pow.f64 x 5))
35.0ms	(/.f64 (/.f64 2 x) (*.f64 x x))

Compiler

Compiled 822 to 686 computations (16.5% saved)

simplify93.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

172 → 172

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4943	2783
1	4943	2783

prune236.0ms (3.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	172	0	172
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	172	5	177

Error

Counts

177 → 5

Compiler

Compiled 4241 to 3158 computations (25.5% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 2 (pow.f64 x 7))
0.1b	(/.f64 (/.f64 2 (*.f64 x x)) x)
0.2b	(/.f64 2 (pow.f64 x 5))
0.4b	(/.f64 2 (*.f64 x x))

rewrite271.0ms (4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

78×	`times-frac_binary64_2471`
54×	`add-cube-cbrt_binary64_2500` `add-sqr-sqrt_binary64_2487` `*-un-lft-identity_binary64_2465`
28×	`add-exp-log_binary64_2503`
24×	`unpow-prod-down_binary64_2544`
22×	`add-cbrt-cube_binary64_2501`
18×	`associate-/r*_binary64_2409`
16×	`associate-/l*_binary64_2410`
13×	`div-exp_binary64_2516`
9×	`cbrt-undiv_binary64_2499`
8×	`div-inv_binary64_2462` `sqr-pow_binary64_2437`
4×	`pow1_binary64_2526` `add-log-exp_binary64_2504` `frac-2neg_binary64_2476` `clear-num_binary64_2464`
2×	`prod-exp_binary64_2514` `cbrt-unprod_binary64_2498` `pow-to-exp_binary64_2534` `pow-exp_binary64_2533`
1×	`associate-/l/_binary64_2412`

Counts

4 → 159

Calls

4 calls:

7.0ms	(/.f64 (/.f64 2 (*.f64 x x)) x)
5.0ms	(/.f64 2 (*.f64 x x))
5.0ms	(/.f64 2 (pow.f64 x 7))
5.0ms	(/.f64 2 (pow.f64 x 5))

Compiler

Compiled 4237 to 2987 computations (29.5% saved)

series158.0ms (2.4%)

Error

Counts

4 → 12

Calls

4 calls:

45.0ms	(/.f64 2 (pow.f64 x 7))
41.0ms	(/.f64 2 (pow.f64 x 5))
31.0ms	(/.f64 (/.f64 2 (*.f64 x x)) x)
30.0ms	(/.f64 2 (*.f64 x x))

Compiler

Compiled 666 to 533 computations (20% saved)

simplify93.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

171 → 171

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4962	2283
1	4962	2283

prune235.0ms (3.5%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	171	0	171
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	171	5	176

Error

Counts

176 → 5

Compiler

Compiled 4151 to 3007 computations (27.6% saved)

regimes353.0ms (5.3%)

Accuracy

Total 0.4b remaining (99%)

Threshold costs 0.4b (99%)

Compiler

Compiled 3253 to 2759 computations (15.2% saved)

bsearch3.0ms (0%)

Compiler: Compiled 15 to 13 computations (13.3% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	123	158
1	123	158

end0.0ms (0%)

sample2.4s (36.3%)

Algorithm

1×

intervals

Results

364.0ms	4442×	body	128	valid
180.0ms	1256×	body	1024	valid
158.0ms	1524×	body	512	valid
53.0ms	778×	body	256	valid

Compiler

Compiled 1695 to 1431 computations (15.6% saved)

Details

analyze111.0ms (1.7%)

sample25.0ms (0.4%)

simplify13.0ms (0.2%)

prune3.0ms (0%)

localize9.0ms (0.1%)

rewrite318.0ms (4.7%)

series233.0ms (3.5%)

simplify82.0ms (1.2%)

prune248.0ms (3.7%)

localize11.0ms (0.2%)

rewrite410.0ms (6.1%)

series322.0ms (4.8%)

simplify92.0ms (1.4%)

prune300.0ms (4.5%)

localize11.0ms (0.2%)

rewrite301.0ms (4.5%)

series319.0ms (4.8%)

simplify93.0ms (1.4%)

prune236.0ms (3.5%)

localize12.0ms (0.2%)

rewrite271.0ms (4%)

series158.0ms (2.4%)

simplify93.0ms (1.4%)

prune235.0ms (3.5%)

regimes353.0ms (5.3%)

bsearch3.0ms (0%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample2.4s (36.3%)

Profiling