Details

analyze165.0ms (5.9%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	14
1	76	14
0	2	2
1	2	2

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
25%	74.9%	0.1%	5
50%	50%	0.1%	6
56.2%	40.6%	3.2%	7
68.7%	25%	6.3%	8
71.8%	19.5%	8.7%	9
78%	12.5%	9.5%	10
79.6%	9.6%	10.8%	11
82.7%	6.2%	11%	12
83.5%	4.7%	11.8%	13
85.1%	3.1%	11.8%	14

Compiler

Compiled 12 to 10 computations (16.7% saved)

sample16.0ms (0.6%)

Algorithm

1×

intervals

Results

7.0ms	253×	body	128	valid
0.0ms	2×	body	512	valid
0.0ms	1×	body	1024	valid
0.0ms	4×	body	128	invalid

Compiler

Compiled 23 to 21 computations (8.7% saved)

simplify8.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	42	7
1	42	7

prune6.0ms (0.2%)

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 10 to 10 computations (0% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 d1 (+.f64 d2 30))

rewrite26.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

5×	`add-sqr-sqrt_binary64_2487` `*-un-lft-identity_binary64_2465`
4×	`associate-r_binary64_2405`
3×	`pow1_binary64_2526` `add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501` `add-cube-cbrt_binary64_2500` `associate-l_binary64_2406`
2×	`associate-*r/_binary64_2407`
1×	`pow-prod-down_binary64_2536` `prod-exp_binary64_2514` `add-log-exp_binary64_2504` `cbrt-unprod_binary64_2498` `unswap-sqr_binary64_2433` `distribute-rgt-in_binary64_2415` `distribute-lft-in_binary64_2414` `flip3-+_binary64_2468` `flip-+_binary64_2439` `distribute-lft-out_binary64_2416` `*-commutative_binary64_2396`

Counts

1 → 23

Calls

1 calls:

6.0ms

(*.f64 d1 (+.f64 d2 30))

Compiler

Compiled 249 to 170 computations (31.7% saved)

series54.0ms (1.9%)

Error

0.0b

Counts

1 → 9

Calls

1 calls:

47.0ms

(*.f64 d1 (+.f64 d2 30))

Compiler

Compiled 126 to 99 computations (21.4% saved)

simplify62.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5135	266

prune24.0ms (0.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	29	3	32
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	29	4	33

Error

Counts

33 → 4

Compiler

Compiled 294 to 198 computations (32.7% saved)

localize6.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (+.f64 d2 30))
0.0b	(sqrt.f64 (+.f64 d2 30))
0.1b	(*.f64 d1 (sqrt.f64 (+.f64 d2 30)))
0.2b	(.f64 (.f64 d1 (sqrt.f64 (+.f64 d2 30))) (sqrt.f64 (+.f64 d2 30)))

rewrite126.0ms (4.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

19×	`*-un-lft-identity_binary64_2465`
18×	`sqrt-div_binary64_2482`
17×	`add-sqr-sqrt_binary64_2487` `sqrt-prod_binary64_2481`
14×	`associate-r_binary64_2405`
13×	`pow1_binary64_2526`
11×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501` `add-cube-cbrt_binary64_2500`
10×	`associate-*r/_binary64_2407`
9×	`flip3-+_binary64_2468` `flip-+_binary64_2439`
4×	`pow-prod-down_binary64_2536` `prod-exp_binary64_2514` `add-log-exp_binary64_2504` `cbrt-unprod_binary64_2498` `frac-times_binary64_2475` `associate-l_binary64_2406` `distribute-lft-out_binary64_2416`
2×	`associate-l/_binary64_2408` `-commutative_binary64_2396` `unswap-sqr_binary64_2433` `pow1/2_binary64_2545` `sqrt-pow1_binary64_2483` `rem-sqrt-square_binary64_2478`

Counts

4 → 87

Calls

4 calls:

12.0ms	(.f64 (.f64 d1 (sqrt.f64 (+.f64 d2 30))) (sqrt.f64 (+.f64 d2 30)))
10.0ms	(*.f64 d1 (sqrt.f64 (+.f64 d2 30)))
3.0ms	(sqrt.f64 (+.f64 d2 30))
3.0ms	(sqrt.f64 (+.f64 d2 30))

Compiler

Compiled 1662 to 1255 computations (24.5% saved)

series200.0ms (7.2%)

Error

Counts

4 → 30

Calls

4 calls:

69.0ms	(*.f64 d1 (sqrt.f64 (+.f64 d2 30)))
57.0ms	(.f64 (.f64 d1 (sqrt.f64 (+.f64 d2 30))) (sqrt.f64 (+.f64 d2 30)))
25.0ms	(sqrt.f64 (+.f64 d2 30))
25.0ms	(sqrt.f64 (+.f64 d2 30))

Compiler

Compiled 1013 to 846 computations (16.5% saved)

simplify67.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4943	1388
1	4943	1388

prune98.0ms (3.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	117	4	121

Error

Counts

121 → 4

Compiler

Compiled 1714 to 1278 computations (25.4% saved)

localize8.0ms (0.3%)

Local error

Found 2 expressions with local error:

6.9b	(.f64 d1 (-.f64 (.f64 d2 d2) 900))
8.9b	(/.f64 (.f64 d1 (-.f64 (.f64 d2 d2) 900)) (-.f64 d2 30))

rewrite73.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

15×	`add-sqr-sqrt_binary64_2487`
12×	`*-un-lft-identity_binary64_2465`
9×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
8×	`add-cube-cbrt_binary64_2500`
6×	`cancel-sign-sub-inv_binary64_2431`
5×	`times-frac_binary64_2471` `associate-/r*_binary64_2409`
4×	`pow1_binary64_2526` `associate-r/_binary64_2407` `distribute-rgt-in_binary64_2415` `distribute-lft-in_binary64_2414` `associate-r*_binary64_2405`
3×	`difference-of-squares_binary64_2434` `flip3--_binary64_2469` `flip--_binary64_2440` `associate-l_binary64_2406`
2×	`prod-exp_binary64_2514` `div-exp_binary64_2516` `add-log-exp_binary64_2504` `cbrt-undiv_binary64_2499` `cbrt-unprod_binary64_2498` `distribute-lft-out--_binary64_2417` `associate-/l/_binary64_2412` `associate-/r/_binary64_2411` `sub-neg_binary64_2458`
1×	`frac-2neg_binary64_2476` `clear-num_binary64_2464` `div-inv_binary64_2462` `associate-/l_binary64_2410` `pow-prod-down_binary64_2536` `unswap-sqr_binary64_2433` `-commutative_binary64_2396`

Counts

2 → 58

Calls

2 calls:

11.0ms	(/.f64 (.f64 d1 (-.f64 (.f64 d2 d2) 900)) (-.f64 d2 30))
8.0ms	(.f64 d1 (-.f64 (.f64 d2 d2) 900))

Compiler

Compiled 1105 to 657 computations (40.5% saved)

series263.0ms (9.4%)

Error

Counts

2 → 18

Calls

2 calls:

156.0ms	(/.f64 (.f64 d1 (-.f64 (.f64 d2 d2) 900)) (-.f64 d2 30))
97.0ms	(.f64 d1 (-.f64 (.f64 d2 d2) 900))

Compiler

Compiled 446 to 361 computations (19.1% saved)

simplify60.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	6272	1032

prune56.0ms (2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	76	4	80

Error

Counts

80 → 4

Compiler

Compiled 1091 to 638 computations (41.5% saved)

localize6.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 d1 (+.f64 d2 30))
0.0b	(sqrt.f64 (*.f64 d1 (+.f64 d2 30)))
0.0b	(sqrt.f64 (*.f64 d1 (+.f64 d2 30)))
0.2b	(.f64 (sqrt.f64 (.f64 d1 (+.f64 d2 30))) (sqrt.f64 (*.f64 d1 (+.f64 d2 30))))

rewrite149.0ms (5.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

61×	`pow1_binary64_2526`
32×	`sqrt-pow1_binary64_2483`
23×	`pow-prod-down_binary64_2536`
20×	`associate-*r/_binary64_2407`
16×	`sqrt-div_binary64_2482`
14×	`add-sqr-sqrt_binary64_2487`
12×	`pow1/2_binary64_2545` `*-un-lft-identity_binary64_2465`
10×	`pow-prod-up_binary64_2535` `add-cube-cbrt_binary64_2500`
9×	`flip3-+_binary64_2468` `flip-+_binary64_2439`
8×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501` `associate-r_binary64_2405`
7×	`associate-l_binary64_2406`
6×	`pow-sqr_binary64_2438` `sqrt-prod_binary64_2481`
4×	`add-log-exp_binary64_2504` `frac-times_binary64_2475` `swap-sqr_binary64_2432`
2×	`prod-exp_binary64_2514` `cbrt-unprod_binary64_2498` `unswap-sqr_binary64_2433` `associate-l/_binary64_2408` `-commutative_binary64_2396`
1×	`pow2_binary64_2546` `pow-plus_binary64_2528` `sqrt-unprod_binary64_2485` `rem-square-sqrt_binary64_2477` `distribute-rgt-in_binary64_2415` `distribute-lft-in_binary64_2414` `distribute-lft-out_binary64_2416`

Counts

4 → 106

Calls

4 calls:

14.0ms	(.f64 (sqrt.f64 (.f64 d1 (+.f64 d2 30))) (sqrt.f64 (*.f64 d1 (+.f64 d2 30))))
9.0ms	(*.f64 d1 (+.f64 d2 30))
4.0ms	(sqrt.f64 (*.f64 d1 (+.f64 d2 30)))
4.0ms	(sqrt.f64 (*.f64 d1 (+.f64 d2 30)))

Compiler

Compiled 2047 to 1490 computations (27.2% saved)

series290.0ms (10.4%)

Error

Counts

4 → 36

Calls

4 calls:

68.0ms	(sqrt.f64 (*.f64 d1 (+.f64 d2 30)))
67.0ms	(.f64 (sqrt.f64 (.f64 d1 (+.f64 d2 30))) (sqrt.f64 (*.f64 d1 (+.f64 d2 30))))
67.0ms	(sqrt.f64 (*.f64 d1 (+.f64 d2 30)))
61.0ms	(*.f64 d1 (+.f64 d2 30))

Compiler

Compiled 1606 to 1225 computations (23.7% saved)

simplify75.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4963	1527
1	4963	1527

prune112.0ms (4%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	142	0	142
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	142	4	146

Error

Counts

146 → 4

Compiler

Compiled 2031 to 1432 computations (29.5% saved)

regimes95.0ms (3.4%)

Accuracy

Total 0.0b remaining (95.2%)

Threshold costs 0.0b (95.2%)

Compiler

Compiled 665 to 581 computations (12.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	7
1	8	7

end0.0ms (0%)

sample741.0ms (26.5%)

Algorithm

1×

intervals

Results

225.0ms	7868×	body	128	valid
8.0ms	83×	body	1024	valid
3.0ms	36×	body	512	valid
2.0ms	59×	body	128	invalid
1.0ms	12×	body	256	valid
0.0ms	1×	body	2048	valid

Compiler

Compiled 235 to 207 computations (11.9% saved)

Details

analyze165.0ms (5.9%)

sample16.0ms (0.6%)

simplify8.0ms (0.3%)

prune6.0ms (0.2%)

localize3.0ms (0.1%)

rewrite26.0ms (0.9%)

series54.0ms (1.9%)

simplify62.0ms (2.2%)

prune24.0ms (0.8%)

localize6.0ms (0.2%)

rewrite126.0ms (4.5%)

series200.0ms (7.2%)

simplify67.0ms (2.4%)

prune98.0ms (3.5%)

localize8.0ms (0.3%)

rewrite73.0ms (2.6%)

series263.0ms (9.4%)

simplify60.0ms (2.1%)

prune56.0ms (2%)

localize6.0ms (0.2%)

rewrite149.0ms (5.3%)

series290.0ms (10.4%)

simplify75.0ms (2.7%)

prune112.0ms (4%)

regimes95.0ms (3.4%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample741.0ms (26.5%)

Profiling