Details

analyze430.0ms (32.9%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	779	40
1	779	40
0	3	3
1	3	3

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
6.2%	93.6%	0.1%	6
15.6%	84.3%	0.1%	7
29.6%	70.2%	0.1%	8
33.5%	63.2%	3.3%	9
43.3%	49.5%	7.2%	10
52.1%	39.2%	8.7%	11
54.5%	34.2%	11.3%	12
60.6%	25.6%	13.8%	13
65.2%	20.4%	14.4%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample15.0ms (1.2%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
1.0ms	22×	body	128	invalid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify21.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (15.0ms)

Iter	Nodes	Cost
0	301	10
1	301	10

prune6.0ms (0.4%)

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 → 2

Compiler

Compiled 23 to 20 computations (13% saved)

localize5.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 x (-.f64 y z))
0.0b	(+.f64 z (*.f64 x (-.f64 y z)))

rewrite14.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`add-sqr-sqrt_binary64_7602` `cancel-sign-sub-inv_binary64_7546`
10×	`*-un-lft-identity_binary64_7580`
8×	`associate-+r+_binary64_7512` `distribute-lft-in_binary64_7529` `add-cube-cbrt_binary64_7615` `distribute-rgt-in_binary64_7530`
5×	`associate-r_binary64_7520`
4×	`add-log-exp_binary64_7619` `add-cbrt-cube_binary64_7616` `pow1_binary64_7641` `sub-neg_binary64_7573` `add-exp-log_binary64_7618`
3×	`associate-l_binary64_7521`
2×	`associate-*r/_binary64_7522`
1×	`distribute-lft-out--_binary64_7532` `pow-prod-down_binary64_7651` `unswap-sqr_binary64_7548` `+-commutative_binary64_7510` `flip-+_binary64_7554` `flip--_binary64_7555` `cbrt-unprod_binary64_7613` `prod-exp_binary64_7629` `sum-log_binary64_7671` `*-commutative_binary64_7511` `flip3--_binary64_7584` `difference-of-squares_binary64_7549` `flip3-+_binary64_7583`

Counts

2 → 49

Calls

2 calls:

7.0ms	(*.f64 x (-.f64 y z))
4.0ms	(+.f64 z (*.f64 x (-.f64 y z)))

series59.0ms (4.5%)

Counts

2 → 6

Calls

2 calls:

30.0ms	(*.f64 x (-.f64 y z))
29.0ms	(+.f64 z (*.f64 x (-.f64 y z)))

simplify57.0ms (4.4%)

Algorithm

1×	egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5130	584

prune33.0ms (2.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	55	0	55
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	55	2	57

Error

0.0b

Counts

57 → 2

Compiler

Compiled 661 to 159 computations (75.9% saved)

localize6.0ms (0.5%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 x y) (.f64 (-.f64 1 x) z))
0.0b	(*.f64 (-.f64 1 x) z)

rewrite14.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-sqr-sqrt_binary64_7602`
7×	`*-un-lft-identity_binary64_7580`
6×	`associate-l_binary64_7521`
4×	`add-log-exp_binary64_7619` `add-cbrt-cube_binary64_7616` `pow1_binary64_7641` `add-cube-cbrt_binary64_7615` `add-exp-log_binary64_7618`
3×	`associate-r_binary64_7520`
2×	`difference-of-squares_binary64_7549` `associate-*l/_binary64_7523`
1×	`distribute-lft-out--_binary64_7532` `pow-prod-down_binary64_7651` `unswap-sqr_binary64_7548` `+-commutative_binary64_7510` `flip-+_binary64_7554` `flip--_binary64_7555` `cbrt-unprod_binary64_7613` `prod-exp_binary64_7629` `sum-log_binary64_7671` `*-commutative_binary64_7511` `flip3--_binary64_7584` `flip3-+_binary64_7583`

Counts

2 → 34

Calls

2 calls:

7.0ms	(*.f64 (-.f64 1 x) z)
4.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 1 x) z))

series47.0ms (3.6%)

Counts

2 → 6

Calls

2 calls:

27.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 1 x) z))
20.0ms	(*.f64 (-.f64 1 x) z)

simplify57.0ms (4.4%)

Algorithm

1×	egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5022	464

prune27.0ms (2.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	40	0	40
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	40	2	42

Error

0.0b

Counts

42 → 2

Compiler

Compiled 540 to 246 computations (54.4% saved)

regimes34.0ms (2.6%)

Accuracy

Total 0.0b remaining (54.2%)

Threshold costs 0.0b (54.2%)

Compiler

Compiled 88 to 90 computations (-2.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	10
1	19	10

end0.0ms (0%)

sample481.0ms (36.7%)

Algorithm

1×

intervals

Results

224.0ms	8000×	body	128	valid
17.0ms	634×	body	128	invalid

Compiler

Compiled 33 to 32 computations (3% saved)

Details

analyze430.0ms (32.9%)

sample15.0ms (1.2%)

simplify21.0ms (1.6%)

prune6.0ms (0.4%)

localize5.0ms (0.4%)

rewrite14.0ms (1.1%)

series59.0ms (4.5%)

simplify57.0ms (4.4%)

prune33.0ms (2.5%)

localize6.0ms (0.5%)

rewrite14.0ms (1.1%)

series47.0ms (3.6%)

simplify57.0ms (4.4%)

prune27.0ms (2.1%)

regimes34.0ms (2.6%)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

end0.0ms (0%)

sample481.0ms (36.7%)

Profiling