Details

analyze195.0ms (4.1%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4924	30
1	4924	30
0	2	2
1	2	2

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)

sample38.0ms (0.8%)

Algorithm

1×

intervals

Results

21.0ms	77×	body	1024	valid
5.0ms	137×	body	128	valid
3.0ms	29×	body	512	valid
1.0ms	10×	body	256	valid
1.0ms	3×	body	2048	valid

Compiler

Compiled 21 to 25 computations (-19% saved)

simplify80.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (75.0ms)

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

Error

29.2b

Counts

2 → 1

Compiler

Compiled 20 to 22 computations (-10% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
0.0b	(+.f64 1 (exp.f64 (*.f64 -2 x)))
2.6b	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)

rewrite25.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

27×	`*-un-lft-identity_binary64_760`
24×	`add-sqr-sqrt_binary64_782`
15×	`times-frac_binary64_766`
13×	`add-cube-cbrt_binary64_795`
7×	`add-log-exp_binary64_799`
5×	`distribute-lft-out_binary64_711` `add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
4×	`associate-/r*_binary64_704` `difference-of-squares_binary64_729`
3×	`cancel-sign-sub-inv_binary64_726` `associate-/l*_binary64_705` `pow1_binary64_821`
2×	`associate-/r/_binary64_706` `flip3-+_binary64_763` `flip-+_binary64_734` `difference-of-sqr-1_binary64_730`
1×	`diff-log_binary64_852` `frac-2neg_binary64_771` `cbrt-undiv_binary64_794` `div-inv_binary64_757` `distribute-lft-out--_binary64_712` `+-commutative_binary64_690` `sum-log_binary64_851` `div-exp_binary64_811` `clear-num_binary64_759` `sub-neg_binary64_753` `flip--_binary64_735` `flip3--_binary64_764`

Counts

3 → 66

Calls

3 calls:

12.0ms	(-.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)))

series87.0ms (1.8%)

Counts

3 → 9

Calls

3 calls:

46.0ms	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
33.0ms	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
7.0ms	(+.f64 1 (exp.f64 (*.f64 -2 x)))

simplify79.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5084	1373

prune96.0ms (2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	72	3	75
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	73	3	76

Error

0.0b

Counts

76 → 3

Compiler

Compiled 1287 to 1168 computations (9.2% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (+.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)))))
2.6b	(-.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 (3.3%)

Algorithm

1×	rewrite-expression-head

Rules

408×	`times-frac_binary64_766`
313×	`*-un-lft-identity_binary64_760`
249×	`add-sqr-sqrt_binary64_782`
243×	`sqrt-prod_binary64_776`
190×	`add-cube-cbrt_binary64_795`
57×	`distribute-lft-out_binary64_711`
30×	`associate-/l*_binary64_705`
22×	`sqrt-div_binary64_777`
20×	`associate-/r/_binary64_706`
14×	`associate-/r*_binary64_704` `difference-of-squares_binary64_729`
11×	`flip3-+_binary64_763` `add-exp-log_binary64_798` `flip-+_binary64_734` `add-cbrt-cube_binary64_796`
10×	`div-inv_binary64_757`
7×	`difference-of-sqr-1_binary64_730`
6×	`add-log-exp_binary64_799`
5×	`pow1_binary64_821`
4×	`cbrt-undiv_binary64_794` `div-exp_binary64_811`
3×	`cancel-sign-sub-inv_binary64_726`
2×	`frac-2neg_binary64_771` `clear-num_binary64_759`
1×	`diff-log_binary64_852` `rem-sqrt-square_binary64_773` `associate-/l/_binary64_707` `sqrt-pow1_binary64_778` `distribute-lft-out--_binary64_712` `pow1/2_binary64_840` `sub-neg_binary64_753` `flip--_binary64_735` `flip3--_binary64_764`

Counts

4 → 337

Calls

4 calls:

75.0ms	(-.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)))))
6.0ms	(/.f64 2 (sqrt.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))
4.0ms	(sqrt.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))

series143.0ms (3%)

Counts

4 → 12

Calls

4 calls:

45.0ms	(/.f64 2 (sqrt.f64 (+.f64 1 (exp.f64 (*.f64 -2 x)))))
45.0ms	(-.f64 (/.f64 (/.f64 2 (sqrt.f64 (+.f64 1 (exp.f64 (.f64 -2 x))))) (sqrt.f64 (+.f64 1 (exp.f64 (.f64 -2 x))))) 1)
33.0ms	(/.f64 (/.f64 2 (sqrt.f64 (+.f64 1 (exp.f64 (.f64 -2 x))))) (sqrt.f64 (+.f64 1 (exp.f64 (.f64 -2 x)))))
20.0ms	(sqrt.f64 (+.f64 1 (exp.f64 (*.f64 -2 x))))

simplify176.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

349 → 349

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4974	12396
1	4974	12396

prune909.0ms (18.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	349	0	349
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	349	3	352

Error

0.0b

Counts

352 → 3

Compiler

Compiled 9951 to 9028 computations (9.3% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.1b	(*.f64 2/15 (pow.f64 x 5))
0.1b	(*.f64 1/3 (pow.f64 x 3))
19.0b	(-.f64 (+.f64 x (.f64 2/15 (pow.f64 x 5))) (.f64 1/3 (pow.f64 x 3)))

rewrite23.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-sqr-sqrt_binary64_782`
19×	`associate-r_binary64_700`
13×	`add-exp-log_binary64_798`
10×	`*-un-lft-identity_binary64_760` `add-cube-cbrt_binary64_795`
8×	`add-log-exp_binary64_799` `unpow-prod-down_binary64_839`
7×	`unswap-sqr_binary64_728` `add-cbrt-cube_binary64_796`
6×	`prod-exp_binary64_809` `associate-l_binary64_701`
4×	`sqr-pow_binary64_732` `cube-prod_binary64_788`
3×	`pow1_binary64_821`
2×	`diff-log_binary64_852` `pow-exp_binary64_828` `pow-to-exp_binary64_829` `cbrt-unprod_binary64_793` `*-commutative_binary64_691`
1×	`cube-mult_binary64_790` `unpow3_binary64_826` `cancel-sign-sub-inv_binary64_726` `sum-log_binary64_851` `associate--l+_binary64_697` `sub-neg_binary64_753` `flip--_binary64_735` `flip3--_binary64_764`

Counts

3 → 70

Calls

3 calls:

7.0ms	(*.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)))
6.0ms	(*.f64 2/15 (pow.f64 x 5))

series92.0ms (1.9%)

Counts

3 → 9

Calls

3 calls:

31.0ms	(-.f64 (+.f64 x (.f64 2/15 (pow.f64 x 5))) (.f64 1/3 (pow.f64 x 3)))
31.0ms	(*.f64 2/15 (pow.f64 x 5))
30.0ms	(*.f64 1/3 (pow.f64 x 3))

simplify41.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	4986	1003
1	4986	1003

prune86.0ms (1.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	78	1	79
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	78	4	82

Error

Counts

82 → 4

Compiler

Compiled 1448 to 1124 computations (22.4% saved)

localize18.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 (pow.f64 x 6) -1/9)
0.1b	(*.f64 1/3 (pow.f64 x 3))
20.2b	(+.f64 (.f64 (+.f64 x (.f64 2/15 (pow.f64 x 5))) (+.f64 x (.f64 2/15 (pow.f64 x 5)))) (.f64 (pow.f64 x 6) -1/9))
41.9b	(/.f64 (+.f64 (.f64 (+.f64 x (.f64 2/15 (pow.f64 x 5))) (+.f64 x (.f64 2/15 (pow.f64 x 5)))) (.f64 (pow.f64 x 6) -1/9)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 x (.f64 2/15 (pow.f64 x 5)))))

rewrite51.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`add-sqr-sqrt_binary64_782`
19×	`*-un-lft-identity_binary64_760` `add-cube-cbrt_binary64_795`
16×	`add-exp-log_binary64_798`
15×	`associate-r_binary64_700`
10×	`add-cbrt-cube_binary64_796` `associate-l_binary64_701`
9×	`times-frac_binary64_766`
8×	`unpow-prod-down_binary64_839`
7×	`unswap-sqr_binary64_728`
6×	`prod-exp_binary64_809` `add-log-exp_binary64_799`
4×	`sqr-pow_binary64_732` `cube-prod_binary64_788` `pow1_binary64_821`
3×	`flip3-+_binary64_763` `associate-/r_binary64_704` `flip-+_binary64_734` `associate-/l_binary64_705`
2×	`associate-/r/_binary64_706` `associate-/l/_binary64_707` `pow-exp_binary64_828` `associate-+l+_binary64_693` `pow-to-exp_binary64_829` `cbrt-unprod_binary64_793` `*-commutative_binary64_691`
1×	`cube-mult_binary64_790` `frac-2neg_binary64_771` `cbrt-undiv_binary64_794` `unpow3_binary64_826` `distribute-lft-in_binary64_709` `div-inv_binary64_757` `distribute-rgt-in_binary64_710` `+-commutative_binary64_690` `sum-log_binary64_851` `div-exp_binary64_811` `clear-num_binary64_759`

Counts

4 → 100

Calls

4 calls:

17.0ms	(/.f64 (+.f64 (.f64 (+.f64 x (.f64 2/15 (pow.f64 x 5))) (+.f64 x (.f64 2/15 (pow.f64 x 5)))) (.f64 (pow.f64 x 6) -1/9)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 x (.f64 2/15 (pow.f64 x 5)))))
10.0ms	(+.f64 (.f64 (+.f64 x (.f64 2/15 (pow.f64 x 5))) (+.f64 x (.f64 2/15 (pow.f64 x 5)))) (.f64 (pow.f64 x 6) -1/9))
7.0ms	(*.f64 1/3 (pow.f64 x 3))
5.0ms	(*.f64 (pow.f64 x 6) -1/9)

series211.0ms (4.4%)

Counts

4 → 12

Calls

4 calls:

90.0ms	(+.f64 (.f64 (+.f64 x (.f64 2/15 (pow.f64 x 5))) (+.f64 x (.f64 2/15 (pow.f64 x 5)))) (.f64 (pow.f64 x 6) -1/9))
65.0ms	(/.f64 (+.f64 (.f64 (+.f64 x (.f64 2/15 (pow.f64 x 5))) (+.f64 x (.f64 2/15 (pow.f64 x 5)))) (.f64 (pow.f64 x 6) -1/9)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 x (.f64 2/15 (pow.f64 x 5)))))
32.0ms	(*.f64 (pow.f64 x 6) -1/9)
24.0ms	(*.f64 1/3 (pow.f64 x 3))

simplify92.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4922	2952
1	4922	2952

prune278.0ms (5.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	112	0	112
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	112	4	116

Error

Counts

116 → 4

Compiler

Compiled 4689 to 3691 computations (21.3% saved)

regimes515.0ms (10.7%)

Accuracy

Total 0.0b remaining (89.7%)

Threshold costs 0.0b (89.7%)

Compiler

Compiled 3713 to 3615 computations (2.6% saved)

bsearch1.0ms (0%)

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

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	79	54
1	79	54

end0.0ms (0%)

sample1.4s (28.7%)

Algorithm

1×

intervals

Results

385.0ms	1986×	body	1024	valid
146.0ms	4321×	body	128	valid
119.0ms	1015×	body	512	valid
51.0ms	196×	body	2048	valid
35.0ms	482×	body	256	valid

Compiler

Compiled 426 to 407 computations (4.5% saved)

Details

analyze195.0ms (4.1%)

sample38.0ms (0.8%)

simplify80.0ms (1.7%)

prune3.0ms (0.1%)

localize7.0ms (0.1%)

rewrite25.0ms (0.5%)

series87.0ms (1.8%)

simplify79.0ms (1.6%)

prune96.0ms (2%)

localize9.0ms (0.2%)

rewrite157.0ms (3.3%)

series143.0ms (3%)

simplify176.0ms (3.7%)

prune909.0ms (18.9%)

localize8.0ms (0.2%)

rewrite23.0ms (0.5%)

series92.0ms (1.9%)

simplify41.0ms (0.9%)

prune86.0ms (1.8%)

localize18.0ms (0.4%)

rewrite51.0ms (1.1%)

series211.0ms (4.4%)

simplify92.0ms (1.9%)

prune278.0ms (5.8%)

regimes515.0ms (10.7%)

bsearch1.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.4s (28.7%)

Profiling