Details

analyze374.0ms (9.2%)

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)

sample22.0ms (0.5%)

Algorithm

1×

intervals

Results

15.0ms

256×

body

128

valid

Compiler

Compiled 29 to 26 computations (10.3% saved)

simplify287.0ms (7.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (281.0ms)

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 (0.2%)

Local error

Found 3 expressions with local error:

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

rewrite121.0ms (3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

15×	`add-sqr-sqrt_binary64_20901`
12×	`*-un-lft-identity_binary64_20879`
10×	`add-exp-log_binary64_20917` `add-cbrt-cube_binary64_20915`
9×	`add-cube-cbrt_binary64_20914`
8×	`add-log-exp_binary64_20918`
7×	`associate-r_binary64_20819`
6×	`cancel-sign-sub-inv_binary64_20845`
5×	`pow1_binary64_20940`
4×	`associate-*r/_binary64_20821` `distribute-rgt-in_binary64_20829` `distribute-lft-in_binary64_20828`
3×	`times-frac_binary64_20885` `associate-/r_binary64_20823` `sum-log_binary64_20970` `associate-l*_binary64_20820`
2×	`prod-exp_binary64_20928` `div-exp_binary64_20930` `cbrt-undiv_binary64_20913` `cbrt-unprod_binary64_20912` `flip3--_binary64_20883` `associate-/l/_binary64_20826` `flip--_binary64_20854` `flip3-+_binary64_20882` `associate-/r/_binary64_20825` `flip-+_binary64_20853` `sub-neg_binary64_20872` `difference-of-squares_binary64_20848`
1×	`frac-2neg_binary64_20890` `clear-num_binary64_20878` `div-inv_binary64_20876` `associate-/l_binary64_20824` `associate-+l+_binary64_20812` `+-commutative_binary64_20809` `pow-prod-down_binary64_20950` `unswap-sqr_binary64_20847` `difference-of-sqr-1_binary64_20849` `distribute-lft-out--_binary64_20831` `-commutative_binary64_20810`

Counts

3 → 70

Calls

3 calls:

13.0ms	(/.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)))

Compiler

Compiled 1600 to 1190 computations (25.6% saved)

series74.0ms (1.8%)

Error

0.0b

Counts

3 → 12

Calls

3 calls:

32.0ms	(*.f64 6 (-.f64 x 1))
18.0ms	(/.f64 (.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (.f64 4 (sqrt.f64 x))))
13.0ms	(+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))

Compiler

Compiled 320 to 271 computations (15.3% saved)

simplify59.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5173	1147

prune90.0ms (2.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	80	2	82
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	80	3	83

Error

Counts

83 → 3

Compiler

Compiled 1514 to 1116 computations (26.3% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

rewrite565.0ms (14%)

Algorithm

1×	rewrite-expression-head

Error

Rules

186×	`times-frac_binary64_20885`
151×	`add-sqr-sqrt_binary64_20901`
135×	`*-un-lft-identity_binary64_20879`
87×	`add-cube-cbrt_binary64_20914`
34×	`associate-/r*_binary64_20823`
32×	`difference-of-squares_binary64_20848`
16×	`difference-of-sqr-1_binary64_20849` `distribute-lft-out--_binary64_20831`
11×	`associate-/r/_binary64_20825`
10×	`add-exp-log_binary64_20917` `add-cbrt-cube_binary64_20915`
8×	`add-log-exp_binary64_20918`
6×	`div-inv_binary64_20876` `associate-/l*_binary64_20824`
5×	`flip3--_binary64_20883` `flip--_binary64_20854`
4×	`div-exp_binary64_20930` `cbrt-undiv_binary64_20913`
3×	`pow1_binary64_20940` `sum-log_binary64_20970`
2×	`frac-2neg_binary64_20890` `clear-num_binary64_20878` `flip3-+_binary64_20882` `associate-/l/_binary64_20826` `flip-+_binary64_20853`
1×	`associate-+l+_binary64_20812` `+-commutative_binary64_20809`

Counts

3 → 186

Calls

3 calls:

14.0ms	(/.f64 6 (/.f64 (+.f64 (+.f64 1 x) (*.f64 4 (sqrt.f64 x))) (-.f64 x 1)))
11.0ms	(/.f64 (+.f64 (+.f64 1 x) (*.f64 4 (sqrt.f64 x))) (-.f64 x 1))
6.0ms	(+.f64 (+.f64 1 x) (*.f64 4 (sqrt.f64 x)))

Compiler

Compiled 5603 to 4154 computations (25.9% saved)

series52.0ms (1.3%)

Error

Counts

3 → 9

Calls

3 calls:

18.0ms	(/.f64 (+.f64 (+.f64 1 x) (*.f64 4 (sqrt.f64 x))) (-.f64 x 1))
18.0ms	(/.f64 6 (/.f64 (+.f64 (+.f64 1 x) (*.f64 4 (sqrt.f64 x))) (-.f64 x 1)))
12.0ms	(+.f64 (+.f64 1 x) (*.f64 4 (sqrt.f64 x)))

Compiler

Compiled 188 to 178 computations (5.3% saved)

simplify115.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

195 → 195

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5100	6683

prune293.0ms (7.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	195	0	195
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	195	3	198

Error

Counts

198 → 3

Compiler

Compiled 5239 to 3840 computations (26.7% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))
0.1b	(/.f64 (.f64 (sqrt.f64 6) (.f64 (-.f64 x 1) (sqrt.f64 6))) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
0.3b	(*.f64 (-.f64 x 1) (sqrt.f64 6))
0.7b	(.f64 (sqrt.f64 6) (.f64 (-.f64 x 1) (sqrt.f64 6)))

rewrite179.0ms (4.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

20×	`add-exp-log_binary64_20917` `add-cbrt-cube_binary64_20915`
19×	`add-sqr-sqrt_binary64_20901`
14×	`*-un-lft-identity_binary64_20879`
13×	`associate-l_binary64_20820`
11×	`pow1_binary64_20940` `add-cube-cbrt_binary64_20914`
9×	`add-log-exp_binary64_20918`
7×	`prod-exp_binary64_20928` `cbrt-unprod_binary64_20912` `sqrt-prod_binary64_20895` `associate-r_binary64_20819`
6×	`associate-*l/_binary64_20822`
4×	`pow-prod-down_binary64_20950` `associate-*r/_binary64_20821`
3×	`flip3--_binary64_20883` `flip--_binary64_20854` `div-exp_binary64_20930` `cbrt-undiv_binary64_20913` `times-frac_binary64_20885` `associate-/r*_binary64_20823` `sum-log_binary64_20970`
2×	`*-commutative_binary64_20810` `unswap-sqr_binary64_20847` `difference-of-squares_binary64_20848` `associate-/l/_binary64_20826` `flip3-+_binary64_20882` `associate-/r/_binary64_20825` `flip-+_binary64_20853`
1×	`difference-of-sqr-1_binary64_20849` `distribute-lft-out--_binary64_20831` `frac-2neg_binary64_20890` `clear-num_binary64_20878` `div-inv_binary64_20876` `associate-/l*_binary64_20824` `associate-+l+_binary64_20812` `+-commutative_binary64_20809`

Counts

4 → 91

Calls

4 calls:

16.0ms	(/.f64 (.f64 (sqrt.f64 6) (.f64 (-.f64 x 1) (sqrt.f64 6))) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
11.0ms	(.f64 (sqrt.f64 6) (.f64 (-.f64 x 1) (sqrt.f64 6)))
8.0ms	(*.f64 (-.f64 x 1) (sqrt.f64 6))
7.0ms	(+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))

Compiler

Compiled 2499 to 1980 computations (20.8% saved)

series197.0ms (4.9%)

Error

Counts

4 → 18

Calls

4 calls:

77.0ms	(.f64 (sqrt.f64 6) (.f64 (-.f64 x 1) (sqrt.f64 6)))
50.0ms	(*.f64 (-.f64 x 1) (sqrt.f64 6))
41.0ms	(/.f64 (.f64 (sqrt.f64 6) (.f64 (-.f64 x 1) (sqrt.f64 6))) (+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x))))
13.0ms	(+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))

Compiler

Compiled 756 to 667 computations (11.8% saved)

simplify70.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4955	1558
1	4955	1558

prune120.0ms (3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	109	0	109
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	109	3	112

Error

Counts

112 → 3

Compiler

Compiled 2252 to 1740 computations (22.7% saved)

regimes140.0ms (3.5%)

Accuracy

Total 0.1b remaining (99.3%)

Threshold costs 0.1b (99.3%)

Compiler

Compiled 1627 to 1362 computations (16.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	21
1	25	21

end0.0ms (0%)

sample1.3s (31%)

Algorithm

1×

intervals

Results

326.0ms	8000×	body	128	valid
0.0ms	3×	body	128	nan

Compiler

Compiled 785 to 657 computations (16.3% saved)

Details

analyze374.0ms (9.2%)

sample22.0ms (0.5%)

simplify287.0ms (7.1%)

prune2.0ms (0.1%)

localize8.0ms (0.2%)

rewrite121.0ms (3%)

series74.0ms (1.8%)

simplify59.0ms (1.5%)

prune90.0ms (2.2%)

localize8.0ms (0.2%)

rewrite565.0ms (14%)

series52.0ms (1.3%)

simplify115.0ms (2.8%)

prune293.0ms (7.3%)

localize10.0ms (0.3%)

rewrite179.0ms (4.4%)

series197.0ms (4.9%)

simplify70.0ms (1.7%)

prune120.0ms (3%)

regimes140.0ms (3.5%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.3s (31%)

Profiling