Details

analyze381.0ms (12.6%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5830	21
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	25%	25%	3
50%	12.5%	37.5%	4
50%	6.2%	43.8%	5
50%	3.1%	46.9%	6
50%	1.6%	48.5%	7
50%	0.8%	49.2%	8
50%	0.4%	49.6%	9
50%	0.2%	49.8%	10
50%	0.1%	49.9%	11
50%	0%	50%	12
50%	0%	50%	13
50%	0%	50%	14

Compiler

Compiled 15 to 13 computations (13.3% saved)

sample16.0ms (0.5%)

Algorithm

1×

intervals

Results

10.0ms

256×

body

128

valid

Compiler

Compiled 29 to 26 computations (10.3% saved)

simplify292.0ms (9.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (286.0ms)

Iter	Nodes	Cost
0	5830	21

prune2.0ms (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

0.1b

Counts

2 → 1

Compiler

Compiled 28 to 24 computations (14.3% saved)

localize8.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))
0.0b	(*.f64 6 (-.f64 x 1))
0.1b	(/.f64 (.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (.f64 4 (sqrt.f64 x))))

rewrite31.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`add-sqr-sqrt_binary64_22265`
12×	`*-un-lft-identity_binary64_22243`
10×	`add-exp-log_binary64_22281` `add-cbrt-cube_binary64_22279`
9×	`add-cube-cbrt_binary64_22278`
8×	`add-log-exp_binary64_22282`
7×	`associate-r_binary64_22183`
6×	`cancel-sign-sub-inv_binary64_22209`
5×	`pow1_binary64_22304`
4×	`associate-*r/_binary64_22185` `distribute-rgt-in_binary64_22193` `distribute-lft-in_binary64_22192`
3×	`times-frac_binary64_22249` `associate-l_binary64_22184` `associate-/r*_binary64_22187` `sum-log_binary64_22334`
2×	`associate-/l/_binary64_22190` `flip--_binary64_22218` `cbrt-undiv_binary64_22277` `flip3-+_binary64_22246` `flip3--_binary64_22247` `difference-of-squares_binary64_22212` `cbrt-unprod_binary64_22276` `flip-+_binary64_22217` `sub-neg_binary64_22236` `associate-/r/_binary64_22189` `prod-exp_binary64_22292` `div-exp_binary64_22294`
1×	`div-inv_binary64_22240` `difference-of-sqr-1_binary64_22213` `+-commutative_binary64_22173` `clear-num_binary64_22242` `-commutative_binary64_22174` `frac-2neg_binary64_22254` `distribute-lft-out--_binary64_22195` `associate-+l+_binary64_22176` `pow-prod-down_binary64_22314` `associate-/l_binary64_22188` `unswap-sqr_binary64_22211`

Counts

3 → 70

Calls

3 calls:

12.0ms	(/.f64 (.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (.f64 4 (sqrt.f64 x))))
8.0ms	(*.f64 6 (-.f64 x 1))
6.0ms	(+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))

series73.0ms (2.4%)

Counts

3 → 9

Calls

3 calls:

38.0ms	(/.f64 (.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (.f64 4 (sqrt.f64 x))))
20.0ms	(*.f64 6 (-.f64 x 1))
15.0ms	(+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))

simplify71.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5497	1395

prune101.0ms (3.3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	74	5	79
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	75	5	80

Error

Counts

80 → 5

Compiler

Compiled 1691 to 1240 computations (26.7% saved)

localize9.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))
0.0b	(.f64 6 (/.f64 (-.f64 x 1) (+.f64 (+.f64 x 1) (.f64 4 (sqrt.f64 x)))))
0.1b	(/.f64 (-.f64 x 1) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))

rewrite51.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

60×	`add-sqr-sqrt_binary64_22265`
48×	`*-un-lft-identity_binary64_22243`
43×	`times-frac_binary64_22249`
27×	`associate-r_binary64_22183` `add-cube-cbrt_binary64_22278`
14×	`difference-of-squares_binary64_22212`
10×	`add-exp-log_binary64_22281` `add-cbrt-cube_binary64_22279`
8×	`add-log-exp_binary64_22282`
7×	`difference-of-sqr-1_binary64_22213` `distribute-lft-out--_binary64_22195` `associate-/l*_binary64_22188`
5×	`pow1_binary64_22304`
4×	`associate-/r/_binary64_22189`
3×	`flip3-+_binary64_22246` `associate-l_binary64_22184` `flip-+_binary64_22217` `associate-/r*_binary64_22187` `sum-log_binary64_22334`
2×	`div-inv_binary64_22240` `associate-/l/_binary64_22190` `cbrt-undiv_binary64_22277` `cbrt-unprod_binary64_22276` `prod-exp_binary64_22292` `div-exp_binary64_22294` `unswap-sqr_binary64_22211`
1×	`associate-r/_binary64_22185` `flip--_binary64_22218` `div-sub_binary64_22248` `+-commutative_binary64_22173` `flip3--_binary64_22247` `clear-num_binary64_22242` `-commutative_binary64_22174` `frac-2neg_binary64_22254` `associate-+l+_binary64_22176` `pow-prod-down_binary64_22314`

Counts

3 → 107

Calls

3 calls:

17.0ms	(.f64 6 (/.f64 (-.f64 x 1) (+.f64 (+.f64 x 1) (.f64 4 (sqrt.f64 x)))))
11.0ms	(/.f64 (-.f64 x 1) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
7.0ms	(+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))

series79.0ms (2.6%)

Counts

3 → 9

Calls

3 calls:

34.0ms	(.f64 6 (/.f64 (-.f64 x 1) (+.f64 (+.f64 x 1) (.f64 4 (sqrt.f64 x)))))
30.0ms	(/.f64 (-.f64 x 1) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
15.0ms	(+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))

simplify79.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4940	3245
1	4940	3245

prune146.0ms (4.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	116	0	116
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	116	5	121

Error

Counts

121 → 5

Compiler

Compiled 3054 to 2197 computations (28.1% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))
0.0b	(*.f64 6 (-.f64 x 1))
0.0b	(/.f64 1 (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
0.2b	(.f64 (.f64 6 (-.f64 x 1)) (/.f64 1 (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))))

rewrite52.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

32×	`add-exp-log_binary64_22281`
29×	`add-sqr-sqrt_binary64_22265`
26×	`*-un-lft-identity_binary64_22243`
23×	`add-cube-cbrt_binary64_22278`
22×	`associate-r_binary64_22183`
20×	`add-cbrt-cube_binary64_22279`
18×	`times-frac_binary64_22249`
13×	`prod-exp_binary64_22292`
12×	`pow1_binary64_22304`
9×	`add-log-exp_binary64_22282`
7×	`associate-*r/_binary64_22185` `cbrt-unprod_binary64_22276`
6×	`cancel-sign-sub-inv_binary64_22209` `div-exp_binary64_22294`
4×	`associate-l_binary64_22184` `distribute-rgt-in_binary64_22193` `distribute-lft-in_binary64_22192` `associate-/r/_binary64_22189` `pow-prod-down_binary64_22314`
3×	`rec-exp_binary64_22293` `flip--_binary64_22218` `cbrt-undiv_binary64_22277` `flip3-+_binary64_22246` `flip3--_binary64_22247` `flip-+_binary64_22217` `1-exp_binary64_22287` `associate-/l_binary64_22188` `associate-/r_binary64_22187` `sum-log_binary64_22334`
2×	`frac-times_binary64_22253` `div-inv_binary64_22240` `associate-l/_binary64_22186` `difference-of-squares_binary64_22212` `-commutative_binary64_22174` `sub-neg_binary64_22236`
1×	`difference-of-sqr-1_binary64_22213` `+-commutative_binary64_22173` `un-div-inv_binary64_22241` `clear-num_binary64_22242` `pow-flip_binary64_22317` `frac-2neg_binary64_22254` `distribute-lft-out--_binary64_22195` `inv-pow_binary64_22328` `associate-+l+_binary64_22176` `unswap-sqr_binary64_22211`

Counts

4 → 122

Calls

4 calls:

16.0ms	(.f64 (.f64 6 (-.f64 x 1)) (/.f64 1 (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))))
8.0ms	(*.f64 6 (-.f64 x 1))
7.0ms	(/.f64 1 (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
7.0ms	(+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))

series96.0ms (3.2%)

Counts

4 → 12

Calls

4 calls:

35.0ms	(.f64 (.f64 6 (-.f64 x 1)) (/.f64 1 (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))))
25.0ms	(/.f64 1 (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
22.0ms	(*.f64 6 (-.f64 x 1))
15.0ms	(+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))

simplify78.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4996	2676
1	4996	2676

prune171.0ms (5.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	134	0	134
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	134	5	139

Error

Counts

139 → 5

Compiler

Compiled 3121 to 2339 computations (25.1% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))
0.0b	(*.f64 6 (-.f64 x 1))
0.0b	(/.f64 1 (/.f64 (+.f64 (+.f64 x 1) (.f64 4 (sqrt.f64 x))) (.f64 6 (-.f64 x 1))))
0.2b	(/.f64 (+.f64 (+.f64 x 1) (.f64 4 (sqrt.f64 x))) (.f64 6 (-.f64 x 1)))

rewrite55.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Rules

42×	`times-frac_binary64_22249`
34×	`add-sqr-sqrt_binary64_22265`
32×	`add-exp-log_binary64_22281`
31×	`*-un-lft-identity_binary64_22243`
28×	`add-cube-cbrt_binary64_22278`
20×	`add-cbrt-cube_binary64_22279`
14×	`div-exp_binary64_22294`
12×	`associate-*r/_binary64_22185`
11×	`associate-/r/_binary64_22189`
10×	`associate-/r*_binary64_22187`
9×	`add-log-exp_binary64_22282`
7×	`associate-r_binary64_22183` `pow1_binary64_22304` `cbrt-undiv_binary64_22277`
6×	`div-inv_binary64_22240` `flip--_binary64_22218` `cancel-sign-sub-inv_binary64_22209` `flip3--_binary64_22247` `associate-/l*_binary64_22188`
5×	`prod-exp_binary64_22292`
4×	`distribute-rgt-in_binary64_22193` `distribute-lft-in_binary64_22192`
3×	`rec-exp_binary64_22293` `associate-l_binary64_22184` `cbrt-unprod_binary64_22276` `1-exp_binary64_22287` `sum-log_binary64_22334`
2×	`associate-/l/_binary64_22190` `flip3-+_binary64_22246` `difference-of-squares_binary64_22212` `clear-num_binary64_22242` `flip-+_binary64_22217` `frac-2neg_binary64_22254` `sub-neg_binary64_22236`
1×	`difference-of-sqr-1_binary64_22213` `+-commutative_binary64_22173` `*-commutative_binary64_22174` `pow-flip_binary64_22317` `distribute-lft-out--_binary64_22195` `inv-pow_binary64_22328` `associate-+l+_binary64_22176` `pow-prod-down_binary64_22314` `unswap-sqr_binary64_22211`

Counts

4 → 134

Calls

4 calls:

16.0ms	(/.f64 1 (/.f64 (+.f64 (+.f64 x 1) (.f64 4 (sqrt.f64 x))) (.f64 6 (-.f64 x 1))))
12.0ms	(/.f64 (+.f64 (+.f64 x 1) (.f64 4 (sqrt.f64 x))) (.f64 6 (-.f64 x 1)))
8.0ms	(*.f64 6 (-.f64 x 1))
6.0ms	(+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))

series97.0ms (3.2%)

Counts

4 → 12

Calls

4 calls:

33.0ms	(/.f64 1 (/.f64 (+.f64 (+.f64 x 1) (.f64 4 (sqrt.f64 x))) (.f64 6 (-.f64 x 1))))
29.0ms	(/.f64 (+.f64 (+.f64 x 1) (.f64 4 (sqrt.f64 x))) (.f64 6 (-.f64 x 1)))
20.0ms	(*.f64 6 (-.f64 x 1))
14.0ms	(+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))

simplify71.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5403	3500

prune186.0ms (6.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	146	0	146
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	146	5	151

Error

Counts

151 → 5

Compiler

Compiled 3386 to 2532 computations (25.2% saved)

regimes71.0ms (2.4%)

Accuracy

Total 0.0b remaining (95.1%)

Threshold costs 0.0b (95.1%)

Compiler

Compiled 751 to 625 computations (16.8% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	21
1	26	21

end0.0ms (0%)

sample792.0ms (26.1%)

Algorithm

1×

intervals

Results

336.0ms	8000×	body	128	valid
0.0ms	2×	body	128	nan

Compiler

Compiled 351 to 294 computations (16.2% saved)

Details

analyze381.0ms (12.6%)

sample16.0ms (0.5%)

simplify292.0ms (9.6%)

prune2.0ms (0.1%)

localize8.0ms (0.3%)

rewrite31.0ms (1%)

series73.0ms (2.4%)

simplify71.0ms (2.3%)

prune101.0ms (3.3%)

localize9.0ms (0.3%)

rewrite51.0ms (1.7%)

series79.0ms (2.6%)

simplify79.0ms (2.6%)

prune146.0ms (4.8%)

localize11.0ms (0.3%)

rewrite52.0ms (1.7%)

series96.0ms (3.2%)

simplify78.0ms (2.6%)

prune171.0ms (5.6%)

localize10.0ms (0.3%)

rewrite55.0ms (1.8%)

series97.0ms (3.2%)

simplify71.0ms (2.4%)

prune186.0ms (6.1%)

regimes71.0ms (2.4%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample792.0ms (26.1%)

Profiling