Details

analyze442.0ms (32.1%)

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
23.4%	76.5%	0.1%	8
33.5%	63.2%	3.3%	9
43.3%	49.5%	7.2%	10
48.2%	43.9%	7.9%	11
54.5%	34.2%	11.3%	12
60.6%	25.6%	13.8%	13
63.1%	22.8%	14.1%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample17.0ms (1.2%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
1.0ms	20×	body	128	invalid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify20.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (15.0ms)

Iter	Nodes	Cost
0	301	10
1	301	10

prune3.0ms (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

Counts

2 → 2

Compiler

Compiled 23 to 20 computations (13% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

rewrite14.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`cancel-sign-sub-inv_binary64_21186` `add-sqr-sqrt_binary64_21242`
10×	`*-un-lft-identity_binary64_21220`
8×	`distribute-lft-in_binary64_21169` `associate-+r+_binary64_21152` `add-cube-cbrt_binary64_21255` `distribute-rgt-in_binary64_21170`
5×	`associate-r_binary64_21160`
4×	`pow1_binary64_21281` `add-log-exp_binary64_21259` `add-cbrt-cube_binary64_21256` `add-exp-log_binary64_21258` `sub-neg_binary64_21213`
3×	`associate-l_binary64_21161`
2×	`associate-*r/_binary64_21162`
1×	`flip3--_binary64_21224` `flip3-+_binary64_21223` `*-commutative_binary64_21151` `prod-exp_binary64_21269` `flip--_binary64_21195` `pow-prod-down_binary64_21291` `sum-log_binary64_21311` `cbrt-unprod_binary64_21253` `difference-of-squares_binary64_21189` `distribute-lft-out--_binary64_21172` `flip-+_binary64_21194` `+-commutative_binary64_21150` `unswap-sqr_binary64_21188`

Counts

2 → 49

Calls

2 calls:

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

series59.0ms (4.3%)

Counts

2 → 6

Calls

2 calls:

31.0ms	(*.f64 y (-.f64 x z))
29.0ms	(+.f64 z (*.f64 y (-.f64 x z)))

simplify58.0ms (4.2%)

Algorithm

1×	egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5130	584

prune31.0ms (2.3%)

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

Counts

57 → 2

Compiler

Compiled 661 to 159 computations (75.9% saved)

localize7.0ms (0.5%)

Local error

Found 2 expressions with local error:

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

rewrite16.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64_21242`
12×	`cancel-sign-sub-inv_binary64_21186`
11×	`*-un-lft-identity_binary64_21220`
8×	`distribute-lft-in_binary64_21169` `associate-+r+_binary64_21152` `add-cube-cbrt_binary64_21255` `distribute-rgt-in_binary64_21170`
6×	`associate-r_binary64_21160`
4×	`pow1_binary64_21281` `add-log-exp_binary64_21259` `add-cbrt-cube_binary64_21256` `add-exp-log_binary64_21258` `sub-neg_binary64_21213`
3×	`associate-l_binary64_21161`
2×	`associate-*r/_binary64_21162` `difference-of-squares_binary64_21189`
1×	`flip3--_binary64_21224` `flip3-+_binary64_21223` `*-commutative_binary64_21151` `prod-exp_binary64_21269` `flip--_binary64_21195` `pow-prod-down_binary64_21291` `sum-log_binary64_21311` `cbrt-unprod_binary64_21253` `distribute-lft-out--_binary64_21172` `flip-+_binary64_21194` `+-commutative_binary64_21150` `unswap-sqr_binary64_21188`

Counts

2 → 50

Calls

2 calls:

7.0ms	(*.f64 z (-.f64 1 y))
5.0ms	(+.f64 (.f64 x y) (.f64 z (-.f64 1 y)))

series53.0ms (3.8%)

Counts

2 → 6

Calls

2 calls:

28.0ms	(+.f64 (.f64 x y) (.f64 z (-.f64 1 y)))
25.0ms	(*.f64 z (-.f64 1 y))

simplify83.0ms (6%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	5583	570

prune32.0ms (2.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	56	2	58

Error

Counts

58 → 2

Compiler

Compiled 724 to 276 computations (61.9% saved)

regimes34.0ms (2.4%)

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%)

sample501.0ms (36.4%)

Algorithm

1×

intervals

Results

223.0ms	8000×	body	128	valid
18.0ms	676×	body	128	invalid

Compiler

Compiled 40 to 38 computations (5% saved)

Details

analyze442.0ms (32.1%)

sample17.0ms (1.2%)

simplify20.0ms (1.4%)

prune3.0ms (0.2%)

localize5.0ms (0.3%)

rewrite14.0ms (1%)

series59.0ms (4.3%)

simplify58.0ms (4.2%)

prune31.0ms (2.3%)

localize7.0ms (0.5%)

rewrite16.0ms (1.2%)

series53.0ms (3.8%)

simplify83.0ms (6%)

prune32.0ms (2.3%)

regimes34.0ms (2.4%)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

end0.0ms (0%)

sample501.0ms (36.4%)

Profiling