Details

analyze102.0ms (9.6%)

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)

sample9.0ms (0.8%)

Algorithm

1×

intervals

Results

4.0ms

256×

body

128

valid

Compiler

Compiled 11 to 10 computations (9.1% saved)

simplify12.0ms (1.2%)

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))

rewrite14.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`add-sqr-sqrt_binary64_8966`
8×	`*-un-lft-identity_binary64_8944`
7×	`associate-r_binary64_8884`
6×	`cancel-sign-sub-inv_binary64_8910`
5×	`add-cube-cbrt_binary64_8979`
4×	`distribute-rgt-in_binary64_8894` `distribute-lft-in_binary64_8893`
3×	`associate-l_binary64_8885` `pow1_binary64_9005` `add-cbrt-cube_binary64_8980` `add-exp-log_binary64_8982`
2×	`associate-*r/_binary64_8886` `sub-neg_binary64_8937` `difference-of-squares_binary64_8913`
1×	`flip3--_binary64_8948` `flip--_binary64_8919` `prod-exp_binary64_8993` `distribute-lft-out--_binary64_8896` `*-commutative_binary64_8875` `difference-of-sqr-1_binary64_8914` `unswap-sqr_binary64_8912` `pow-prod-down_binary64_9015` `add-log-exp_binary64_8983` `cbrt-unprod_binary64_8977`

Counts

1 → 32

Calls

1 calls:

12.0ms

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

series28.0ms (2.6%)

Counts

1 → 3

Calls

1 calls:

27.0ms

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

simplify70.0ms (6.6%)

Algorithm

1×	egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5004	288

prune20.0ms (1.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	33	2	35
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	33	3	36

Error

Counts

36 → 3

Compiler

Compiled 311 to 179 computations (42.4% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b	(+.f64 (*.f64 x x) (neg.f64 x))

rewrite6.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`add-log-exp_binary64_8983`
2×	`distribute-rgt-out_binary64_8897` `*-un-lft-identity_binary64_8944` `sum-log_binary64_9035`
1×	`flip3-+_binary64_8947` `unsub-neg_binary64_8938` `+-commutative_binary64_8874` `add-cube-cbrt_binary64_8979` `pow1_binary64_9005` `neg-mul-1_binary64_8940` `add-cbrt-cube_binary64_8980` `associate-+r-_binary64_8878` `neg-log_binary64_9037` `distribute-lft-neg-in_binary64_8901` `flip-+_binary64_8918` `neg-sub0_binary64_8939` `add-exp-log_binary64_8982` `add-sqr-sqrt_binary64_8966`

Counts

1 → 16

Calls

1 calls:

5.0ms

(+.f64 (*.f64 x x) (neg.f64 x))

series29.0ms (2.7%)

Counts

1 → 3

Calls

1 calls:

29.0ms

(+.f64 (*.f64 x x) (neg.f64 x))

simplify66.0ms (6.2%)

Algorithm

1×	egg-herbie

Counts

19 → 19

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5349	169

prune11.0ms (1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	19	0	19
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	19	3	22

Error

Counts

22 → 3

Compiler

Compiled 167 to 63 computations (62.3% saved)

localize5.0ms (0.5%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (pow.f64 x 3) x)
8.0b	(/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 x 1))

rewrite27.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Rules

60×	`add-sqr-sqrt_binary64_8966`
56×	`*-un-lft-identity_binary64_8944`
36×	`times-frac_binary64_8950`
24×	`difference-of-squares_binary64_8913`
18×	`add-cube-cbrt_binary64_8979`
10×	`distribute-lft-out_binary64_8895`
9×	`associate-/l*_binary64_8889`
6×	`sqr-pow_binary64_8916` `distribute-rgt-out--_binary64_8898` `distribute-lft-out--_binary64_8896` `cube-prod_binary64_8972` `unpow3_binary64_9010` `unpow-prod-down_binary64_9023`
4×	`associate-/r*_binary64_8888` `add-cbrt-cube_binary64_8980` `add-log-exp_binary64_8983` `add-exp-log_binary64_8982`
3×	`cancel-sign-sub-inv_binary64_8910`
2×	`associate-/r/_binary64_8890` `flip3--_binary64_8948` `flip--_binary64_8919` `pow1_binary64_9005` `associate-/l/_binary64_8891`
1×	`flip3-+_binary64_8947` `div-exp_binary64_8995` `div-sub_binary64_8949` `clear-num_binary64_8943` `frac-2neg_binary64_8955` `diff-log_binary64_9036` `sub-neg_binary64_8937` `div-inv_binary64_8941` `flip-+_binary64_8918` `cbrt-undiv_binary64_8978`

Counts

2 → 86

Calls

2 calls:

12.0ms	(/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 x 1))
7.0ms	(-.f64 (pow.f64 x 3) x)

series104.0ms (9.8%)

Counts

2 → 6

Calls

2 calls:

62.0ms	(/.f64 (-.f64 (pow.f64 x 3) x) (+.f64 x 1))
41.0ms	(-.f64 (pow.f64 x 3) x)

simplify107.0ms (10.1%)

Algorithm

1×	egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	4930	1647
1	4930	1647

prune74.0ms (7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	92	3	95

Error

Counts

95 → 3

Compiler

Compiled 1424 to 908 computations (36.2% saved)

regimes31.0ms (2.9%)

Accuracy

Total 0.0b remaining (97.3%)

Threshold costs 0.0b (97.3%)

Compiler

Compiled 98 to 76 computations (22.4% 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%)

sample335.0ms (31.6%)

Algorithm

1×

intervals

Results

143.0ms	8000×	body	128	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 48 to 36 computations (25% saved)

Details

analyze102.0ms (9.6%)

sample9.0ms (0.8%)

simplify12.0ms (1.2%)

prune2.0ms (0.2%)

localize3.0ms (0.3%)

rewrite14.0ms (1.4%)

series28.0ms (2.6%)

simplify70.0ms (6.6%)

prune20.0ms (1.9%)

localize4.0ms (0.3%)

rewrite6.0ms (0.6%)

series29.0ms (2.7%)

simplify66.0ms (6.2%)

prune11.0ms (1%)

localize5.0ms (0.5%)

rewrite27.0ms (2.5%)

series104.0ms (9.8%)

simplify107.0ms (10.1%)

prune74.0ms (7%)

regimes31.0ms (2.9%)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

end0.0ms (0%)

sample335.0ms (31.6%)

Profiling