Details

analyze195.0ms (5%)

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)

sample32.0ms (0.8%)

Algorithm

1×

intervals

Results

10.0ms	57×	body	1024	valid
5.0ms	141×	body	128	valid
4.0ms	31×	body	512	valid
2.0ms	9×	body	2048	valid
1.0ms	18×	body	256	valid

Compiler

Compiled 21 to 25 computations (-19% saved)

simplify80.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4758	15
1	4758	15

prune6.0ms (0.2%)

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

29.1b

Counts

2 → 1

Compiler

Compiled 20 to 22 computations (-10% saved)

localize7.0ms (0.2%)

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)))
3.3b	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)

rewrite115.0ms (3%)

Algorithm

1×	rewrite-expression-head

Error

28.5b

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×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `distribute-lft-out_binary64_711`
4×	`difference-of-squares_binary64_729` `associate-/r*_binary64_704`
3×	`pow1_binary64_821` `cancel-sign-sub-inv_binary64_726` `associate-/l*_binary64_705`
2×	`difference-of-sqr-1_binary64_730` `flip3-+_binary64_763` `flip-+_binary64_734` `associate-/r/_binary64_706`
1×	`diff-log_binary64_852` `flip3--_binary64_764` `sub-neg_binary64_753` `flip--_binary64_735` `distribute-lft-out--_binary64_712` `sum-log_binary64_851` `+-commutative_binary64_690` `div-exp_binary64_811` `cbrt-undiv_binary64_794` `frac-2neg_binary64_771` `clear-num_binary64_759` `div-inv_binary64_757`

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))))
3.0ms	(+.f64 1 (exp.f64 (*.f64 -2 x)))

Compiler

Compiled 1302 to 1188 computations (8.8% saved)

series125.0ms (3.2%)

Error

0.0b

Counts

3 → 18

Calls

3 calls:

53.0ms	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
40.0ms	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
16.0ms	(+.f64 1 (exp.f64 (*.f64 -2 x)))

Compiler

Compiled 444 to 432 computations (2.7% saved)

simplify98.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	4838	1469
1	4838	1469

prune86.0ms (2.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	82	2	84
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	83	2	85

Error

0.0b

Counts

85 → 2

Compiler

Compiled 1347 to 1214 computations (9.9% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 1 (exp.f64 (*.f64 x -2)))
0.0b	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2))))
3.2b	(log.f64 (exp.f64 (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))) 1)))
3.3b	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))) 1)

rewrite165.0ms (4.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

39×	`add-sqr-sqrt_binary64_782`
35×	`*-un-lft-identity_binary64_760`
18×	`times-frac_binary64_766`
17×	`add-cube-cbrt_binary64_795`
11×	`log-pow_binary64_849`
10×	`exp-prod_binary64_812`
8×	`add-log-exp_binary64_799` `difference-of-squares_binary64_729`
7×	`log-prod_binary64_846`
6×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `cancel-sign-sub-inv_binary64_726`
5×	`pow1_binary64_821` `distribute-lft-out_binary64_711`
4×	`difference-of-sqr-1_binary64_730` `exp-sum_binary64_806` `associate-/r*_binary64_704`
3×	`associate-/l*_binary64_705`
2×	`sub-neg_binary64_753` `distribute-lft-out--_binary64_712` `flip3-+_binary64_763` `associate-/r/_binary64_706` `flip-+_binary64_734`
1×	`diff-log_binary64_852` `flip3--_binary64_764` `flip--_binary64_735` `exp-diff_binary64_808` `log-div_binary64_847` `rem-log-exp_binary64_801` `div-exp_binary64_811` `cbrt-undiv_binary64_794` `frac-2neg_binary64_771` `clear-num_binary64_759` `div-inv_binary64_757` `sum-log_binary64_851` `+-commutative_binary64_690`

Counts

4 → 93

Calls

4 calls:

14.0ms	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))) 1)
13.0ms	(log.f64 (exp.f64 (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))) 1)))
5.0ms	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2))))
4.0ms	(+.f64 1 (exp.f64 (*.f64 x -2)))

Compiler

Compiled 2040 to 1882 computations (7.7% saved)

series286.0ms (7.4%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

149.0ms	(log.f64 (exp.f64 (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))) 1)))
60.0ms	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))) 1)
38.0ms	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2))))
20.0ms	(+.f64 1 (exp.f64 (*.f64 x -2)))

Compiler

Compiled 692 to 670 computations (3.2% saved)

simplify106.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	4861	2044
1	4861	2044

prune129.0ms (3.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	117	2	119

Error

0.0b

Counts

119 → 2

Compiler

Compiled 2055 to 1867 computations (9.1% saved)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite51.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

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

Counts

2 → 43

Calls

2 calls:

7.0ms	(*.f64 1/3 (pow.f64 x 3))
3.0ms	(-.f64 x (*.f64 1/3 (pow.f64 x 3)))

Compiler

Compiled 594 to 448 computations (24.6% saved)

series92.0ms (2.4%)

Error

0.0b

Counts

2 → 9

Calls

2 calls:

58.0ms	(-.f64 x (*.f64 1/3 (pow.f64 x 3)))
29.0ms	(*.f64 1/3 (pow.f64 x 3))

Compiler

Compiled 148 to 138 computations (6.8% saved)

simplify48.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5194	541

prune36.0ms (0.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	52	0	52
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	52	2	54

Error

0.0b

Counts

54 → 2

Compiler

Compiled 562 to 405 computations (27.9% saved)

regimes591.0ms (15.3%)

Accuracy

Total 0.2b remaining (91%)

Threshold costs 0.2b (91%)

Compiler

Compiled 4050 to 4109 computations (-1.5% saved)

bsearch3.0ms (0.1%)

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	79	146
1	79	146

end0.0ms (0%)

sample1.6s (41.4%)

Algorithm

1×

intervals

Results

384.0ms	1971×	body	1024	valid
149.0ms	4368×	body	128	valid
119.0ms	990×	body	512	valid
40.0ms	180×	body	2048	valid
40.0ms	491×	body	256	valid

Compiler

Compiled 502 to 501 computations (0.2% saved)

Details

analyze195.0ms (5%)

sample32.0ms (0.8%)

simplify80.0ms (2.1%)

prune6.0ms (0.2%)

localize7.0ms (0.2%)

rewrite115.0ms (3%)

series125.0ms (3.2%)

simplify98.0ms (2.5%)

prune86.0ms (2.2%)

localize9.0ms (0.2%)

rewrite165.0ms (4.3%)

series286.0ms (7.4%)

simplify106.0ms (2.8%)

prune129.0ms (3.3%)

localize4.0ms (0.1%)

rewrite51.0ms (1.3%)

series92.0ms (2.4%)

simplify48.0ms (1.2%)

prune36.0ms (0.9%)

regimes591.0ms (15.3%)

bsearch3.0ms (0.1%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.6s (41.4%)

Profiling