Details

analyze428.0ms (21.3%)

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)

sample17.0ms (0.9%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
1.0ms	21×	body	128	invalid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify22.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (15.0ms)

Iter	Nodes	Cost
0	301	10
1	301	10

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite27.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

9×	`add-sqr-sqrt_binary64_3510`
7×	`*-un-lft-identity_binary64_3488`
6×	`cancel-sign-sub-inv_binary64_3454`
5×	`add-cube-cbrt_binary64_3523` `associate-r_binary64_3428`
4×	`distribute-rgt-in_binary64_3438` `distribute-lft-in_binary64_3437`
3×	`pow1_binary64_3549` `add-exp-log_binary64_3526` `add-cbrt-cube_binary64_3524` `associate-l_binary64_3429`
2×	`sub-neg_binary64_3481` `associate-*r/_binary64_3430`
1×	`pow-prod-down_binary64_3559` `prod-exp_binary64_3537` `add-log-exp_binary64_3527` `cbrt-unprod_binary64_3521` `unswap-sqr_binary64_3456` `flip3--_binary64_3492` `flip--_binary64_3463` `difference-of-squares_binary64_3457` `distribute-lft-out--_binary64_3440` `*-commutative_binary64_3419`

Counts

1 → 30

Calls

1 calls:

7.0ms

(*.f64 x (-.f64 y z))

Compiler

Compiled 398 to 141 computations (64.6% saved)

series105.0ms (5.2%)

Error

0.0b

Counts

1 → 15

Calls

1 calls:

97.0ms

(*.f64 x (-.f64 y z))

Compiler

Compiled 297 to 176 computations (40.7% saved)

simplify47.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5690	386

prune26.0ms (1.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	44	1	45
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	44	2	46

Error

Counts

46 → 2

Compiler

Compiled 458 to 102 computations (77.7% saved)

localize7.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 x (-.f64 y z))
0.2b	(.f64 (sqrt.f64 (.f64 x (-.f64 y z))) (sqrt.f64 (*.f64 x (-.f64 y z))))
2.5b	(sqrt.f64 (*.f64 x (-.f64 y z)))
2.5b	(sqrt.f64 (*.f64 x (-.f64 y z)))

rewrite127.0ms (6.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

61×	`pow1_binary64_3549`
32×	`sqrt-pow1_binary64_3506`
23×	`pow-prod-down_binary64_3559`
20×	`associate-*r/_binary64_3430`
18×	`add-sqr-sqrt_binary64_3510`
16×	`sqrt-div_binary64_3505`
14×	`*-un-lft-identity_binary64_3488`
12×	`pow1/2_binary64_3568` `add-cube-cbrt_binary64_3523`
10×	`pow-prod-up_binary64_3558`
9×	`flip3--_binary64_3492` `flip--_binary64_3463` `associate-r_binary64_3428`
8×	`add-exp-log_binary64_3526` `add-cbrt-cube_binary64_3524`
7×	`associate-l_binary64_3429`
6×	`sqrt-prod_binary64_3504` `pow-sqr_binary64_3461` `cancel-sign-sub-inv_binary64_3454`
4×	`add-log-exp_binary64_3527` `frac-times_binary64_3498` `swap-sqr_binary64_3455` `distribute-rgt-in_binary64_3438` `distribute-lft-in_binary64_3437`
2×	`prod-exp_binary64_3537` `cbrt-unprod_binary64_3521` `unswap-sqr_binary64_3456` `associate-l/_binary64_3431` `-commutative_binary64_3419` `sub-neg_binary64_3481`
1×	`pow2_binary64_3569` `pow-plus_binary64_3551` `sqrt-unprod_binary64_3508` `rem-square-sqrt_binary64_3500` `difference-of-squares_binary64_3457` `distribute-lft-out--_binary64_3440`

Counts

4 → 113

Calls

4 calls:

15.0ms	(.f64 (sqrt.f64 (.f64 x (-.f64 y z))) (sqrt.f64 (*.f64 x (-.f64 y z))))
7.0ms	(*.f64 x (-.f64 y z))
5.0ms	(sqrt.f64 (*.f64 x (-.f64 y z)))
4.0ms	(sqrt.f64 (*.f64 x (-.f64 y z)))

Compiler

Compiled 2418 to 599 computations (75.2% saved)

series389.0ms (19.3%)

Error

Counts

4 → 49

Calls

4 calls:

104.0ms	(.f64 (sqrt.f64 (.f64 x (-.f64 y z))) (sqrt.f64 (*.f64 x (-.f64 y z))))
102.0ms	(*.f64 x (-.f64 y z))
81.0ms	(sqrt.f64 (*.f64 x (-.f64 y z)))
76.0ms	(sqrt.f64 (*.f64 x (-.f64 y z)))

Compiler

Compiled 2280 to 1316 computations (42.3% saved)

simplify49.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

162 → 162

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5152	1605

prune100.0ms (5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	162	0	162
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	162	2	164

Error

Counts

164 → 2

Compiler

Compiled 2543 to 489 computations (80.8% saved)

regimes51.0ms (2.5%)

Accuracy

Total 0.0b remaining (65.3%)

Threshold costs 0.0b (65.3%)

Compiler

Compiled 232 to 202 computations (12.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	10
1	19	10

end0.0ms (0%)

sample605.0ms (30.1%)

Algorithm

1×

intervals

Results

225.0ms	8000×	body	128	valid
23.0ms	699×	body	128	invalid

Compiler

Compiled 69 to 60 computations (13% saved)

Details

analyze428.0ms (21.3%)

sample17.0ms (0.9%)

simplify22.0ms (1.1%)

prune3.0ms (0.1%)

localize5.0ms (0.2%)

rewrite27.0ms (1.3%)

series105.0ms (5.2%)

simplify47.0ms (2.3%)

prune26.0ms (1.3%)

localize7.0ms (0.4%)

rewrite127.0ms (6.3%)

series389.0ms (19.3%)

simplify49.0ms (2.4%)

prune100.0ms (5%)

regimes51.0ms (2.5%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample605.0ms (30.1%)

Profiling