Details

analyze108.0ms (2.4%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	16
1	76	16
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
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 12 to 11 computations (8.3% saved)

sample20.0ms (0.4%)

Algorithm

1×

intervals

Results

5.0ms	67×	body	512	valid
4.0ms	144×	body	128	valid
2.0ms	31×	body	256	valid
1.0ms	14×	body	1024	valid

Compiler

Compiled 23 to 22 computations (4.3% saved)

simplify10.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	76	16
1	76	16

prune2.0ms (0.1%)

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

17.3b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 1 (+.f64 x 1))
0.0b	(/.f64 1 (-.f64 x 1))
3.6b	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))

rewrite274.0ms (6.2%)

Algorithm

1×	rewrite-expression-head

Error

16.5b

Rules

118×	`*-un-lft-identity_binary64_2465`
95×	`add-sqr-sqrt_binary64_2487`
90×	`times-frac_binary64_2471`
43×	`add-cube-cbrt_binary64_2500`
30×	`distribute-lft-out--_binary64_2417`
27×	`cancel-sign-sub-inv_binary64_2431`
23×	`difference-of-squares_binary64_2434`
11×	`add-exp-log_binary64_2503` `associate-/r*_binary64_2409`
10×	`distribute-lft-out_binary64_2416`
8×	`associate-/r/_binary64_2411`
7×	`add-cbrt-cube_binary64_2501` `difference-of-sqr-1_binary64_2435` `div-inv_binary64_2462`
6×	`associate-/l*_binary64_2410`
5×	`add-log-exp_binary64_2504` `pow1_binary64_2526`
4×	`flip--_binary64_2440` `div-exp_binary64_2516`
3×	`flip3--_binary64_2469`
2×	`flip-+_binary64_2439` `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×	`diff-log_binary64_2557` `frac-sub_binary64_2474` `sub-neg_binary64_2458` `flip3-+_binary64_2468`

Counts

3 → 151

Calls

3 calls:

39.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
6.0ms	(/.f64 1 (-.f64 x 1))
5.0ms	(/.f64 1 (+.f64 x 1))

Compiler

Compiled 2962 to 2486 computations (16.1% saved)

series156.0ms (3.6%)

Error

0.9b

Counts

3 → 34

Calls

3 calls:

66.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
30.0ms	(/.f64 1 (-.f64 x 1))
27.0ms	(/.f64 1 (+.f64 x 1))

Compiler

Compiled 1103 to 943 computations (14.5% saved)

simplify75.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

185 → 185

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5065	2769

prune190.0ms (4.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	182	3	185
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	183	3	186

Error

0.9b

Counts

186 → 3

Compiler

Compiled 3065 to 2460 computations (19.7% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (+.f64 x (-.f64 -2 x)) (+.f64 (*.f64 x x) -1))
3.2b	(+.f64 x (-.f64 -2 x))

rewrite81.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

0.9b

Rules

44×	`*-un-lft-identity_binary64_2465`
20×	`times-frac_binary64_2471`
14×	`add-cube-cbrt_binary64_2500` `add-sqr-sqrt_binary64_2487`
12×	`distribute-lft-out_binary64_2416`
7×	`add-log-exp_binary64_2504`
6×	`distribute-lft-out--_binary64_2417` `difference-of-sqr--1_binary64_2436`
5×	`associate-/l*_binary64_2410`
4×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501` `associate-+r+_binary64_2397` `associate-/r*_binary64_2409`
3×	`flip3-+_binary64_2468` `flip-+_binary64_2439` `cancel-sign-sub-inv_binary64_2431`
2×	`sum-log_binary64_2556` `pow1_binary64_2526` `associate-+r-_binary64_2399` `associate-/l/_binary64_2412` `associate-/r/_binary64_2411`
1×	`diff-log_binary64_2557` `sub-neg_binary64_2458` `+-commutative_binary64_2395` `div-exp_binary64_2516` `cbrt-undiv_binary64_2499` `frac-2neg_binary64_2476` `div-sub_binary64_2470` `clear-num_binary64_2464` `div-inv_binary64_2462`

Counts

2 → 65

Calls

2 calls:

11.0ms	(/.f64 (+.f64 x (-.f64 -2 x)) (+.f64 (*.f64 x x) -1))
6.0ms	(+.f64 x (-.f64 -2 x))

Compiler

Compiled 1310 to 813 computations (37.9% saved)

series61.0ms (1.4%)

Error

0.9b

Counts

2 → 13

Calls

2 calls:

43.0ms	(/.f64 (+.f64 x (-.f64 -2 x)) (+.f64 (*.f64 x x) -1))
7.0ms	(+.f64 x (-.f64 -2 x))

Compiler

Compiled 400 to 354 computations (11.5% saved)

simplify53.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4835	1087
1	4835	1087

prune63.0ms (1.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	76	2	78
Fresh	1	1	2
Picked	1	0	1
Done	0	0	0
Total	78	3	81

Error

0.0b

Counts

81 → 3

Compiler

Compiled 1110 to 735 computations (33.8% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 -2 (+.f64 x 1))
0.1b	(/.f64 (/.f64 -2 (+.f64 x 1)) (-.f64 x 1))

rewrite312.0ms (7.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

234×	`times-frac_binary64_2471`
207×	`*-un-lft-identity_binary64_2465`
170×	`add-sqr-sqrt_binary64_2487`
94×	`add-cube-cbrt_binary64_2500`
38×	`difference-of-squares_binary64_2434`
28×	`distribute-lft-out_binary64_2416`
21×	`associate-/l*_binary64_2410`
20×	`associate-/r/_binary64_2411`
19×	`difference-of-sqr-1_binary64_2435` `distribute-lft-out--_binary64_2417`
11×	`associate-/r*_binary64_2409`
10×	`div-inv_binary64_2462`
9×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501` `flip3-+_binary64_2468` `flip-+_binary64_2439`
4×	`div-exp_binary64_2516` `cbrt-undiv_binary64_2499`
2×	`pow1_binary64_2526` `add-log-exp_binary64_2504` `frac-2neg_binary64_2476` `clear-num_binary64_2464`
1×	`associate-/l/_binary64_2412` `flip3--_binary64_2469` `flip--_binary64_2440`

Counts

2 → 201

Calls

2 calls:

15.0ms	(/.f64 (/.f64 -2 (+.f64 x 1)) (-.f64 x 1))
5.0ms	(/.f64 -2 (+.f64 x 1))

Compiler

Compiled 4298 to 3468 computations (19.3% saved)

series110.0ms (2.5%)

Error

0.0b

Counts

2 → 22

Calls

2 calls:

57.0ms	(/.f64 (/.f64 -2 (+.f64 x 1)) (-.f64 x 1))
31.0ms	(/.f64 -2 (+.f64 x 1))

Compiler

Compiled 765 to 669 computations (12.5% saved)

simplify108.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

223 → 223

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5055	5347

prune253.0ms (5.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	221	2	223
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	221	5	226

Error

Counts

226 → 5

Compiler

Compiled 4183 to 3240 computations (22.5% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.9b	(/.f64 -2 (+.f64 (*.f64 x x) -1))

rewrite35.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

12×	`times-frac_binary64_2471`
10×	`add-cube-cbrt_binary64_2500` `add-sqr-sqrt_binary64_2487` `*-un-lft-identity_binary64_2465`
4×	`difference-of-sqr--1_binary64_2436` `associate-/r*_binary64_2409`
3×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501` `associate-/l*_binary64_2410`
2×	`associate-/r/_binary64_2411`
1×	`pow1_binary64_2526` `div-exp_binary64_2516` `add-log-exp_binary64_2504` `cbrt-undiv_binary64_2499` `frac-2neg_binary64_2476` `clear-num_binary64_2464` `div-inv_binary64_2462` `flip3-+_binary64_2468` `flip-+_binary64_2439`

Counts

1 → 33

Calls

1 calls:

7.0ms

(/.f64 -2 (+.f64 (*.f64 x x) -1))

Compiler

Compiled 518 to 352 computations (32% saved)

series56.0ms (1.3%)

Error

Counts

1 → 10

Calls

1 calls:

47.0ms

(/.f64 -2 (+.f64 (*.f64 x x) -1))

Compiler

Compiled 337 to 305 computations (9.5% saved)

simplify59.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5053	728

prune32.0ms (0.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	43	0	43
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	43	5	48

Error

Counts

48 → 5

Compiler

Compiled 589 to 404 computations (31.4% saved)

regimes253.0ms (5.7%)

Accuracy

Total 0.1b remaining (84%)

Threshold costs 0.1b (84%)

Compiler

Compiled 3248 to 2822 computations (13.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	13
1	19	13

end0.0ms (0%)

sample2.1s (47%)

Algorithm

1×

intervals

Results

160.0ms	1999×	body	512	valid
135.0ms	4543×	body	128	valid
58.0ms	1045×	body	256	valid
42.0ms	413×	body	1024	valid

Compiler

Compiled 1579 to 1372 computations (13.1% saved)

Details

analyze108.0ms (2.4%)

sample20.0ms (0.4%)

simplify10.0ms (0.2%)

prune2.0ms (0.1%)

localize6.0ms (0.1%)

rewrite274.0ms (6.2%)

series156.0ms (3.6%)

simplify75.0ms (1.7%)

prune190.0ms (4.3%)

localize6.0ms (0.1%)

rewrite81.0ms (1.8%)

series61.0ms (1.4%)

simplify53.0ms (1.2%)

prune63.0ms (1.4%)

localize5.0ms (0.1%)

rewrite312.0ms (7.1%)

series110.0ms (2.5%)

simplify108.0ms (2.4%)

prune253.0ms (5.7%)

localize4.0ms (0.1%)

rewrite35.0ms (0.8%)

series56.0ms (1.3%)

simplify59.0ms (1.3%)

prune32.0ms (0.7%)

regimes253.0ms (5.7%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample2.1s (47%)

Profiling