Details

analyze2.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
99.9%	0%	0.1%	1

Compiler

Compiled 11 to 12 computations (-9.1% saved)

sample30.0ms (0.8%)

Algorithm

1×

intervals

Results

13.0ms	64×	body	1024	valid
5.0ms	141×	body	128	valid
4.0ms	32×	body	512	valid
1.0ms	7×	body	2048	valid
1.0ms	12×	body	256	valid

Compiler

Compiled 21 to 25 computations (-19% saved)

simplify174.0ms (4.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4758	15
1	4758	15

prune3.0ms (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

Merged error: 28.9b

Counts

2 → 1

Compiler

Compiled 20 to 22 computations (-10% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 1 (exp.f64 (*.f64 -2 x)))
0.0b	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
2.3b	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)

rewrite25.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

27×	`*-un-lft-identity_binary64_78`
24×	`add-sqr-sqrt_binary64_100`
15×	`times-frac_binary64_84`
13×	`add-cube-cbrt_binary64_113`
7×	`add-log-exp_binary64_117`
5×	`add-cbrt-cube_binary64_114` `add-exp-log_binary64_116` `distribute-lft-out_binary64_29`
4×	`associate-/r*_binary64_22` `difference-of-squares_binary64_47`
3×	`associate-/l*_binary64_23` `cancel-sign-sub-inv_binary64_44` `pow1_binary64_139`
2×	`flip-+_binary64_52` `associate-/r/_binary64_24` `difference-of-sqr-1_binary64_48` `flip3-+_binary64_81`
1×	`+-commutative_binary64_8` `cbrt-undiv_binary64_112` `div-exp_binary64_129` `distribute-lft-out--_binary64_30` `flip3--_binary64_82` `diff-log_binary64_170` `frac-2neg_binary64_89` `div-inv_binary64_75` `flip--_binary64_53` `clear-num_binary64_77` `sub-neg_binary64_71` `sum-log_binary64_169`

Counts

3 → 66

Calls

3 calls:

11.0ms	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
5.0ms	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
4.0ms	(+.f64 1 (exp.f64 (*.f64 -2 x)))

series89.0ms (2.2%)

Counts

3 → 9

Calls

3 calls:

48.0ms	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
33.0ms	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
8.0ms	(+.f64 1 (exp.f64 (*.f64 -2 x)))

simplify77.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5084	1373

prune94.0ms (2.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	73	2	75
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	74	2	76

Merged error: 0b

Counts

76 → 2

Compiler

Compiled 1275 to 1155 computations (9.4% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 1 (exp.f64 (*.f64 -2 x)))
0.0b	(/.f64 (/.f64 2 (sqrt.f64 (+.f64 1 (exp.f64 (.f64 -2 x))))) (sqrt.f64 (+.f64 1 (exp.f64 (.f64 -2 x)))))
0.5b	(/.f64 2 (sqrt.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))
2.3b	(-.f64 (/.f64 (/.f64 2 (sqrt.f64 (+.f64 1 (exp.f64 (.f64 -2 x))))) (sqrt.f64 (+.f64 1 (exp.f64 (.f64 -2 x))))) 1)

rewrite157.0ms (3.9%)

Algorithm

1×	rewrite-expression-head

Rules

408×	`times-frac_binary64_84`
312×	`*-un-lft-identity_binary64_78`
247×	`add-sqr-sqrt_binary64_100`
239×	`sqrt-prod_binary64_94`
189×	`add-cube-cbrt_binary64_113`
57×	`distribute-lft-out_binary64_29`
30×	`associate-/l*_binary64_23`
20×	`sqrt-div_binary64_95` `associate-/r/_binary64_24`
14×	`associate-/r*_binary64_22` `difference-of-squares_binary64_47`
11×	`add-cbrt-cube_binary64_114` `flip-+_binary64_52` `add-exp-log_binary64_116` `flip3-+_binary64_81`
10×	`div-inv_binary64_75`
8×	`add-log-exp_binary64_117`
7×	`difference-of-sqr-1_binary64_48`
4×	`cbrt-undiv_binary64_112` `div-exp_binary64_129` `pow1_binary64_139`
3×	`cancel-sign-sub-inv_binary64_44`
2×	`frac-2neg_binary64_89` `clear-num_binary64_77`
1×	`+-commutative_binary64_8` `distribute-lft-out--_binary64_30` `flip3--_binary64_82` `diff-log_binary64_170` `flip--_binary64_53` `associate-/l/_binary64_25` `sub-neg_binary64_71` `sum-log_binary64_169`

Counts

4 → 333

Calls

4 calls:

74.0ms	(-.f64 (/.f64 (/.f64 2 (sqrt.f64 (+.f64 1 (exp.f64 (.f64 -2 x))))) (sqrt.f64 (+.f64 1 (exp.f64 (.f64 -2 x))))) 1)
18.0ms	(/.f64 (/.f64 2 (sqrt.f64 (+.f64 1 (exp.f64 (.f64 -2 x))))) (sqrt.f64 (+.f64 1 (exp.f64 (.f64 -2 x)))))
7.0ms	(/.f64 2 (sqrt.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))
4.0ms	(+.f64 1 (exp.f64 (*.f64 -2 x)))

series144.0ms (3.6%)

Counts

4 → 12

Calls

4 calls:

55.0ms	(/.f64 2 (sqrt.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))
52.0ms	(-.f64 (/.f64 (/.f64 2 (sqrt.f64 (+.f64 1 (exp.f64 (.f64 -2 x))))) (sqrt.f64 (+.f64 1 (exp.f64 (.f64 -2 x))))) 1)
29.0ms	(/.f64 (/.f64 2 (sqrt.f64 (+.f64 1 (exp.f64 (.f64 -2 x))))) (sqrt.f64 (+.f64 1 (exp.f64 (.f64 -2 x)))))
7.0ms	(+.f64 1 (exp.f64 (*.f64 -2 x)))

simplify194.0ms (4.8%)

Algorithm

1×	egg-herbie

Counts

345 → 345

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	4895	12299
1	4895	12299

prune981.0ms (24.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	345	0	345
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	345	2	347

Merged error: 0b

Counts

347 → 2

Compiler

Compiled 9829 to 8916 computations (9.3% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 2/15 (pow.f64 x 5))
0.1b	(*.f64 1/3 (pow.f64 x 3))
20.5b	(-.f64 (+.f64 x (.f64 2/15 (pow.f64 x 5))) (.f64 1/3 (pow.f64 x 3)))

rewrite23.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-sqr-sqrt_binary64_100`
19×	`associate-r_binary64_18`
13×	`add-exp-log_binary64_116`
10×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
8×	`add-log-exp_binary64_117` `unpow-prod-down_binary64_157`
7×	`add-cbrt-cube_binary64_114` `unswap-sqr_binary64_46`
6×	`associate-l_binary64_19` `prod-exp_binary64_127`
4×	`sqr-pow_binary64_50` `cube-prod_binary64_106`
3×	`pow1_binary64_139`
2×	`*-commutative_binary64_9` `pow-exp_binary64_146` `pow-to-exp_binary64_147` `cbrt-unprod_binary64_111` `diff-log_binary64_170`
1×	`cube-mult_binary64_108` `flip3--_binary64_82` `associate--l+_binary64_15` `flip--_binary64_53` `cancel-sign-sub-inv_binary64_44` `unpow3_binary64_144` `sub-neg_binary64_71` `sum-log_binary64_169`

Counts

3 → 70

Calls

3 calls:

6.0ms	(*.f64 1/3 (pow.f64 x 3))
6.0ms	(-.f64 (+.f64 x (.f64 2/15 (pow.f64 x 5))) (.f64 1/3 (pow.f64 x 3)))
5.0ms	(*.f64 2/15 (pow.f64 x 5))

series84.0ms (2.1%)

Counts

3 → 9

Calls

3 calls:

30.0ms	(*.f64 2/15 (pow.f64 x 5))
29.0ms	(-.f64 (+.f64 x (.f64 2/15 (pow.f64 x 5))) (.f64 1/3 (pow.f64 x 3)))
25.0ms	(*.f64 1/3 (pow.f64 x 3))

simplify45.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	4986	1003
1	4986	1003

prune82.0ms (2.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	79	0	79
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	79	2	81

Merged error: 0b

Counts

81 → 2

Compiler

Compiled 1401 to 1082 computations (22.8% saved)

regimes448.0ms (11.1%)

Compiler: Compiled 3087 to 3121 computations (-1.1% saved)

bsearch1.0ms (0%)

Compiler: Compiled 3 to 4 computations (-33.3% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	88	98
1	88	98

end0.0ms (0%)

sample1.3s (33.2%)

Algorithm

1×

intervals

Results

389.0ms	1993×	body	1024	valid
153.0ms	4288×	body	128	valid
122.0ms	1011×	body	512	valid
51.0ms	219×	body	2048	valid
37.0ms	489×	body	256	valid

Compiler

Compiled 359 to 356 computations (0.8% saved)

Details

analyze2.0ms (0.1%)

sample30.0ms (0.8%)

simplify174.0ms (4.3%)

prune3.0ms (0.1%)

localize6.0ms (0.2%)

rewrite25.0ms (0.6%)

series89.0ms (2.2%)

simplify77.0ms (1.9%)

prune94.0ms (2.3%)

localize11.0ms (0.3%)

rewrite157.0ms (3.9%)

series144.0ms (3.6%)

simplify194.0ms (4.8%)

prune981.0ms (24.4%)

localize8.0ms (0.2%)

rewrite23.0ms (0.6%)

series84.0ms (2.1%)

simplify45.0ms (1.1%)

prune82.0ms (2.1%)

regimes448.0ms (11.1%)

bsearch1.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.3s (33.2%)

Profiling