Details

analyze170.0ms (4.1%)

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)

sample21.0ms (0.5%)

Algorithm

1×

intervals

Results

7.0ms	253×	body	128	valid
4.0ms	1×	body	512	valid
0.0ms	2×	body	1024	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 23 to 21 computations (8.7% saved)

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	42	7
1	42	7

prune4.0ms (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 10 to 10 computations (0% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite25.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

5×	`add-sqr-sqrt_binary64_3510` `*-un-lft-identity_binary64_3488`
4×	`associate-r_binary64_3428`
3×	`pow1_binary64_3549` `add-exp-log_binary64_3526` `add-cbrt-cube_binary64_3524` `add-cube-cbrt_binary64_3523` `associate-l_binary64_3429`
2×	`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` `distribute-rgt-in_binary64_3438` `distribute-lft-in_binary64_3437` `flip3-+_binary64_3491` `flip-+_binary64_3462` `distribute-lft-out_binary64_3439` `*-commutative_binary64_3419`

Counts

1 → 23

Calls

1 calls:

6.0ms

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

Compiler

Compiled 249 to 170 computations (31.7% saved)

series62.0ms (1.5%)

Error

0.0b

Counts

1 → 9

Calls

1 calls:

57.0ms

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

Compiler

Compiled 126 to 99 computations (21.4% saved)

simplify70.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5135	266

prune23.0ms (0.5%)

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

0.0b

Counts

33 → 4

Compiler

Compiled 290 to 194 computations (33.1% saved)

localize6.0ms (0.1%)

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)))

rewrite127.0ms (3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

19×	`*-un-lft-identity_binary64_3488`
18×	`sqrt-div_binary64_3505`
17×	`add-sqr-sqrt_binary64_3510` `sqrt-prod_binary64_3504`
14×	`associate-r_binary64_3428`
13×	`pow1_binary64_3549`
11×	`add-exp-log_binary64_3526` `add-cbrt-cube_binary64_3524` `add-cube-cbrt_binary64_3523`
10×	`associate-*r/_binary64_3430`
9×	`flip3-+_binary64_3491` `flip-+_binary64_3462`
4×	`pow-prod-down_binary64_3559` `prod-exp_binary64_3537` `add-log-exp_binary64_3527` `cbrt-unprod_binary64_3521` `frac-times_binary64_3498` `associate-l_binary64_3429` `distribute-lft-out_binary64_3439`
2×	`associate-l/_binary64_3431` `-commutative_binary64_3419` `unswap-sqr_binary64_3456` `pow1/2_binary64_3568` `sqrt-pow1_binary64_3506` `rem-sqrt-square_binary64_3501`

Counts

4 → 87

Calls

4 calls:

15.0ms	(.f64 (.f64 d1 (sqrt.f64 (+.f64 d2 30))) (sqrt.f64 (+.f64 d2 30)))
8.0ms	(*.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)

series207.0ms (5%)

Error

0.0b

Counts

4 → 30

Calls

4 calls:

78.0ms	(*.f64 d1 (sqrt.f64 (+.f64 d2 30)))
53.0ms	(.f64 (.f64 d1 (sqrt.f64 (+.f64 d2 30))) (sqrt.f64 (+.f64 d2 30)))
28.0ms	(sqrt.f64 (+.f64 d2 30))
25.0ms	(sqrt.f64 (+.f64 d2 30))

Compiler

Compiled 1013 to 846 computations (16.5% saved)

simplify78.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4943	1388
1	4943	1388

prune101.0ms (2.4%)

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

0.0b

Counts

121 → 4

Compiler

Compiled 1710 to 1274 computations (25.5% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

3.6b	(.f64 d1 (-.f64 (.f64 d2 d2) 900))
9.4b	(/.f64 (.f64 d1 (-.f64 (.f64 d2 d2) 900)) (-.f64 d2 30))

rewrite73.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

15×	`add-sqr-sqrt_binary64_3510`
12×	`*-un-lft-identity_binary64_3488`
9×	`add-exp-log_binary64_3526` `add-cbrt-cube_binary64_3524`
8×	`add-cube-cbrt_binary64_3523`
6×	`cancel-sign-sub-inv_binary64_3454`
5×	`times-frac_binary64_3494` `associate-/r*_binary64_3432`
4×	`pow1_binary64_3549` `associate-r/_binary64_3430` `distribute-rgt-in_binary64_3438` `distribute-lft-in_binary64_3437` `associate-r*_binary64_3428`
3×	`difference-of-squares_binary64_3457` `flip3--_binary64_3492` `flip--_binary64_3463` `associate-l_binary64_3429`
2×	`prod-exp_binary64_3537` `div-exp_binary64_3539` `add-log-exp_binary64_3527` `cbrt-undiv_binary64_3522` `cbrt-unprod_binary64_3521` `distribute-lft-out--_binary64_3440` `associate-/l/_binary64_3435` `associate-/r/_binary64_3434` `sub-neg_binary64_3481`
1×	`frac-2neg_binary64_3499` `clear-num_binary64_3487` `div-inv_binary64_3485` `associate-/l_binary64_3433` `pow-prod-down_binary64_3559` `unswap-sqr_binary64_3456` `-commutative_binary64_3419`

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)

series251.0ms (6%)

Error

0.0b

Counts

2 → 18

Calls

2 calls:

153.0ms	(/.f64 (.f64 d1 (-.f64 (.f64 d2 d2) 900)) (-.f64 d2 30))
87.0ms	(.f64 d1 (-.f64 (.f64 d2 d2) 900))

Compiler

Compiled 446 to 361 computations (19.1% saved)

simplify69.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	6272	1032

prune57.0ms (1.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	75	1	76
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	75	5	80

Error

Counts

80 → 5

Compiler

Compiled 1109 to 652 computations (41.2% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (cbrt.f64 (-.f64 d2 30)) (cbrt.f64 (-.f64 d2 30)))
0.3b	(/.f64 d1 (*.f64 (cbrt.f64 (-.f64 d2 30)) (cbrt.f64 (-.f64 d2 30))))
3.8b	(/.f64 (-.f64 (*.f64 d2 d2) 900) (cbrt.f64 (-.f64 d2 30)))
9.7b	(.f64 (/.f64 d1 (.f64 (cbrt.f64 (-.f64 d2 30)) (cbrt.f64 (-.f64 d2 30)))) (/.f64 (-.f64 (*.f64 d2 d2) 900) (cbrt.f64 (-.f64 d2 30))))

rewrite598.0ms (14.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

119×	`add-sqr-sqrt_binary64_3510`
84×	`*-un-lft-identity_binary64_3488`
77×	`times-frac_binary64_3494`
75×	`cbrt-prod_binary64_3519`
52×	`add-cube-cbrt_binary64_3523`
46×	`associate-r_binary64_3428`
40×	`cbrt-div_binary64_3520`
34×	`add-exp-log_binary64_3526`
30×	`difference-of-squares_binary64_3457`
23×	`associate-l_binary64_3429`
22×	`add-cbrt-cube_binary64_3524`
21×	`flip3--_binary64_3492` `flip--_binary64_3463`
20×	`associate-/r/_binary64_3434`
15×	`distribute-lft-out--_binary64_3440`
13×	`pow1_binary64_3549` `frac-times_binary64_3498`
10×	`div-exp_binary64_3539` `prod-exp_binary64_3537` `cbrt-unprod_binary64_3521` `cbrt-undiv_binary64_3522` `unswap-sqr_binary64_3456` `swap-sqr_binary64_3455`
9×	`associate-/r*_binary64_3432`
7×	`associate-l/_binary64_3431` `associate-r/_binary64_3430` `associate-/l*_binary64_3433`
6×	`pow1/3_binary64_3570`
4×	`add-log-exp_binary64_3527` `div-inv_binary64_3485`
3×	`pow-prod-down_binary64_3559`
2×	`*-commutative_binary64_3419` `frac-2neg_binary64_3499` `clear-num_binary64_3487` `associate-/l/_binary64_3435` `pow-prod-up_binary64_3558` `pow-sqr_binary64_3461`
1×	`div-sub_binary64_3493` `pow2_binary64_3569` `pow-plus_binary64_3551`

Counts

4 → 229

Calls

4 calls:

37.0ms	(.f64 (/.f64 d1 (.f64 (cbrt.f64 (-.f64 d2 30)) (cbrt.f64 (-.f64 d2 30)))) (/.f64 (-.f64 (*.f64 d2 d2) 900) (cbrt.f64 (-.f64 d2 30))))
12.0ms	(*.f64 (cbrt.f64 (-.f64 d2 30)) (cbrt.f64 (-.f64 d2 30)))
12.0ms	(/.f64 d1 (*.f64 (cbrt.f64 (-.f64 d2 30)) (cbrt.f64 (-.f64 d2 30))))
11.0ms	(/.f64 (-.f64 (*.f64 d2 d2) 900) (cbrt.f64 (-.f64 d2 30)))

Compiler

Compiled 7778 to 5501 computations (29.3% saved)

series724.0ms (17.3%)

Error

Counts

4 → 37

Calls

4 calls:

337.0ms	(/.f64 d1 (*.f64 (cbrt.f64 (-.f64 d2 30)) (cbrt.f64 (-.f64 d2 30))))
192.0ms	(.f64 (/.f64 d1 (.f64 (cbrt.f64 (-.f64 d2 30)) (cbrt.f64 (-.f64 d2 30)))) (/.f64 (-.f64 (*.f64 d2 d2) 900) (cbrt.f64 (-.f64 d2 30))))
95.0ms	(*.f64 (cbrt.f64 (-.f64 d2 30)) (cbrt.f64 (-.f64 d2 30)))
51.0ms	(/.f64 (-.f64 (*.f64 d2 d2) 900) (cbrt.f64 (-.f64 d2 30)))

Compiler

Compiled 2329 to 1945 computations (16.5% saved)

simplify125.0ms (3%)

Algorithm

1×	egg-herbie

Counts

266 → 266

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	5137	6345

prune487.0ms (11.6%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	266	0	266
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	266	5	271

Error

Counts

271 → 5

Compiler

Compiled 7531 to 5291 computations (29.7% saved)

regimes99.0ms (2.4%)

Accuracy

Total 0.0b remaining (95.6%)

Threshold costs 0.0b (95.6%)

Compiler

Compiled 713 to 632 computations (11.4% 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%)

sample771.0ms (18.4%)

Algorithm

1×

intervals

Results

236.0ms	7874×	body	128	valid
7.0ms	70×	body	1024	valid
3.0ms	35×	body	512	valid
2.0ms	78×	body	128	invalid
1.0ms	21×	body	256	valid

Compiler

Compiled 251 to 224 computations (10.8% saved)

Details

analyze170.0ms (4.1%)

sample21.0ms (0.5%)

simplify9.0ms (0.2%)

prune4.0ms (0.1%)

localize4.0ms (0.1%)

rewrite25.0ms (0.6%)

series62.0ms (1.5%)

simplify70.0ms (1.7%)

prune23.0ms (0.5%)

localize6.0ms (0.1%)

rewrite127.0ms (3%)

series207.0ms (5%)

simplify78.0ms (1.9%)

prune101.0ms (2.4%)

localize7.0ms (0.2%)

rewrite73.0ms (1.7%)

series251.0ms (6%)

simplify69.0ms (1.6%)

prune57.0ms (1.4%)

localize11.0ms (0.3%)

rewrite598.0ms (14.3%)

series724.0ms (17.3%)

simplify125.0ms (3%)

prune487.0ms (11.6%)

regimes99.0ms (2.4%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample771.0ms (18.4%)

Profiling