Details

analyze104.0ms (10.3%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	105	7
1	105	7
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	25%	25%	4
62.5%	12.5%	25%	5
68.7%	6.2%	25%	6
71.8%	3.1%	25%	7
73.4%	1.6%	25%	8
74.2%	0.8%	25%	9
74.6%	0.4%	25%	10
74.8%	0.2%	25%	11
74.9%	0.1%	25%	12
74.9%	0%	25%	13
74.9%	0%	25%	14

Compiler

Compiled 6 to 5 computations (16.7% saved)

sample13.0ms (1.3%)

Algorithm

1×

intervals

Results

9.0ms

256×

body

128

valid

Compiler

Compiled 11 to 10 computations (9.1% saved)

simplify11.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	105	7
1	105	7

prune2.0ms (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

0.0b

Counts

2 → 1

Compiler

Compiled 10 to 8 computations (20% saved)

localize3.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 x (-.f64 x 1))

rewrite10.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`add-sqr-sqrt_binary64_11353`
8×	`*-un-lft-identity_binary64_11331`
7×	`associate-r_binary64_11271`
6×	`cancel-sign-sub-inv_binary64_11297`
5×	`add-cube-cbrt_binary64_11366`
4×	`distribute-lft-in_binary64_11280` `distribute-rgt-in_binary64_11281`
3×	`add-exp-log_binary64_11369` `pow1_binary64_11392` `associate-l_binary64_11272` `add-cbrt-cube_binary64_11367`
2×	`difference-of-squares_binary64_11300` `sub-neg_binary64_11324` `associate-*r/_binary64_11273`
1×	`*-commutative_binary64_11262` `distribute-lft-out--_binary64_11283` `cbrt-unprod_binary64_11364` `add-log-exp_binary64_11370` `unswap-sqr_binary64_11299` `difference-of-sqr-1_binary64_11301` `flip3--_binary64_11335` `prod-exp_binary64_11380` `pow-prod-down_binary64_11402` `flip--_binary64_11306`

Counts

1 → 32

Calls

1 calls:

8.0ms

(*.f64 x (-.f64 x 1))

series26.0ms (2.6%)

Counts

1 → 3

Calls

1 calls:

26.0ms

(*.f64 x (-.f64 x 1))

simplify68.0ms (6.7%)

Algorithm

1×	egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5004	288

prune26.0ms (2.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	34	1	35
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	34	2	36

Error

Counts

36 → 2

Compiler

Compiled 313 to 181 computations (42.2% saved)

localize10.0ms (1%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (pow.f64 x 4) x)
0.0b	(+.f64 (.f64 x x) (+.f64 (.f64 1 1) (*.f64 x 1)))
11.5b	(/.f64 (-.f64 (pow.f64 x 4) x) (+.f64 (.f64 x x) (+.f64 (.f64 1 1) (*.f64 x 1))))

rewrite37.0ms (3.7%)

Algorithm

1×	rewrite-expression-head

Rules

41×	`add-sqr-sqrt_binary64_11353`
26×	`*-un-lft-identity_binary64_11331`
21×	`times-frac_binary64_11337`
16×	`add-cube-cbrt_binary64_11366`
15×	`difference-of-squares_binary64_11300`
10×	`add-log-exp_binary64_11370`
7×	`associate-/l*_binary64_11276`
5×	`distribute-lft-out--_binary64_11283` `add-exp-log_binary64_11369` `add-cbrt-cube_binary64_11367` `unpow-prod-down_binary64_11410` `sqr-pow_binary64_11303`
3×	`pow1_binary64_11392` `sum-log_binary64_11422` `associate-/r*_binary64_11275` `cancel-sign-sub-inv_binary64_11297`
2×	`associate-/l/_binary64_11278` `associate-/r/_binary64_11277` `flip3--_binary64_11335` `flip3-+_binary64_11334` `flip-+_binary64_11305` `flip--_binary64_11306`
1×	`div-exp_binary64_11382` `+-commutative_binary64_11261` `sub-neg_binary64_11324` `div-inv_binary64_11328` `cbrt-undiv_binary64_11365` `frac-2neg_binary64_11342` `diff-log_binary64_11423` `div-sub_binary64_11336` `clear-num_binary64_11330` `associate-+r+_binary64_11263`

Counts

3 → 79

Calls

3 calls:

15.0ms	(/.f64 (-.f64 (pow.f64 x 4) x) (+.f64 (.f64 x x) (+.f64 (.f64 1 1) (*.f64 x 1))))
8.0ms	(+.f64 (.f64 x x) (+.f64 (.f64 1 1) (*.f64 x 1)))
6.0ms	(-.f64 (pow.f64 x 4) x)

series124.0ms (12.3%)

Counts

3 → 9

Calls

3 calls:

70.0ms	(/.f64 (-.f64 (pow.f64 x 4) x) (+.f64 (.f64 x x) (+.f64 (.f64 1 1) (*.f64 x 1))))
45.0ms	(-.f64 (pow.f64 x 4) x)
9.0ms	(+.f64 (.f64 x x) (+.f64 (.f64 1 1) (*.f64 x 1)))

simplify71.0ms (7.1%)

Algorithm

1×	egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5595	1998

prune93.0ms (9.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	88	0	88
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	88	2	90

Error

Counts

90 → 2

Compiler

Compiled 2006 to 1171 computations (41.6% saved)

regimes38.0ms (3.7%)

Accuracy

Total 0.0b remaining (98.9%)

Threshold costs 0.0b (98.9%)

Compiler

Compiled 190 to 144 computations (24.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	7
1	14	7

end0.0ms (0%)

sample373.0ms (37%)

Algorithm

1×

intervals

Results

136.0ms

8000×

body

128

valid

Compiler

Compiled 91 to 68 computations (25.3% saved)

Details

analyze104.0ms (10.3%)

sample13.0ms (1.3%)

simplify11.0ms (1.1%)

prune2.0ms (0.2%)

localize3.0ms (0.3%)

rewrite10.0ms (1%)

series26.0ms (2.6%)

simplify68.0ms (6.7%)

prune26.0ms (2.6%)

localize10.0ms (1%)

rewrite37.0ms (3.7%)

series124.0ms (12.3%)

simplify71.0ms (7.1%)

prune93.0ms (9.2%)

regimes38.0ms (3.7%)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

end0.0ms (0%)

sample373.0ms (37%)

Profiling