Details

analyze71.0ms (2.3%)

Algorithm

1×

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)

sample14.0ms (0.5%)

Algorithm

1×

intervals

Results

7.0ms	250×	body	128	valid
1.0ms	5×	body	1024	valid
0.0ms	5×	body	128	invalid
0.0ms	1×	body	512	valid

Compiler

Compiled 23 to 21 computations (8.7% saved)

simplify94.0ms (3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	42	7
1	42	7

prune3.0ms (0.1%)

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

Merged error: 0.0b

Counts

2 → 2

Compiler

Compiled 21 to 19 computations (9.5% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite8.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`add-sqr-sqrt_binary64_3510` `*-un-lft-identity_binary64_3488`
4×	`associate-r_binary64_3428`
3×	`add-cbrt-cube_binary64_3524` `add-exp-log_binary64_3526` `associate-l_binary64_3429` `add-cube-cbrt_binary64_3523` `pow1_binary64_3549`
2×	`associate-*r/_binary64_3430`
1×	`distribute-lft-in_binary64_3437` `distribute-lft-out_binary64_3439` `distribute-rgt-in_binary64_3438` `unswap-sqr_binary64_3456` `flip-+_binary64_3462` `flip3-+_binary64_3491` `cbrt-unprod_binary64_3521` `pow-prod-down_binary64_3559` `add-log-exp_binary64_3527` `*-commutative_binary64_3419` `prod-exp_binary64_3537`

Counts

1 → 23

Calls

1 calls:

7.0ms

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

series26.0ms (0.8%)

Counts

1 → 3

Calls

1 calls:

26.0ms

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

simplify59.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5135	233

prune21.0ms (0.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	24	2	26
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	25	3	28

Merged error: 0.0b

Counts

28 → 3

Compiler

Compiled 267 to 184 computations (31.1% saved)

localize12.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (pow.f64 d2 3) 27000)
0.0b	(+.f64 (.f64 d2 d2) (-.f64 (.f64 30 30) (*.f64 d2 30)))
2.7b	(*.f64 d1 (+.f64 (pow.f64 d2 3) 27000))
16.1b	(/.f64 (.f64 d1 (+.f64 (pow.f64 d2 3) 27000)) (+.f64 (.f64 d2 d2) (-.f64 (.f64 30 30) (.f64 d2 30))))

rewrite46.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`*-un-lft-identity_binary64_3488`
11×	`add-cbrt-cube_binary64_3524` `add-exp-log_binary64_3526` `add-log-exp_binary64_3527`
10×	`add-sqr-sqrt_binary64_3510`
8×	`add-cube-cbrt_binary64_3523`
6×	`pow1_binary64_3549`
5×	`flip-+_binary64_3462` `flip3-+_binary64_3491`
4×	`associate-r/_binary64_3430` `associate-r*_binary64_3428`
3×	`associate-/r_binary64_3432` `times-frac_binary64_3494` `associate-l*_binary64_3429` `sum-log_binary64_3579`
2×	`distribute-lft-out_binary64_3439` `associate-/l/_binary64_3435` `associate-/r/_binary64_3434` `cbrt-unprod_binary64_3521` `+-commutative_binary64_3418` `associate-+r+_binary64_3420` `div-exp_binary64_3539` `cbrt-undiv_binary64_3522` `prod-exp_binary64_3537`
1×	`distribute-lft-in_binary64_3437` `clear-num_binary64_3487` `distribute-rgt-in_binary64_3438` `unswap-sqr_binary64_3456` `diff-log_binary64_3580` `cancel-sign-sub-inv_binary64_3454` `associate-/l_binary64_3433` `pow-prod-down_binary64_3559` `frac-2neg_binary64_3499` `associate-+r-_binary64_3422` `-commutative_binary64_3419` `div-inv_binary64_3485` `sub-neg_binary64_3481`

Counts

4 → 75

Calls

4 calls:

15.0ms	(/.f64 (.f64 d1 (+.f64 (pow.f64 d2 3) 27000)) (+.f64 (.f64 d2 d2) (-.f64 (.f64 30 30) (.f64 d2 30))))
12.0ms	(*.f64 d1 (+.f64 (pow.f64 d2 3) 27000))
6.0ms	(+.f64 (.f64 d2 d2) (-.f64 (.f64 30 30) (*.f64 d2 30)))
6.0ms	(+.f64 (pow.f64 d2 3) 27000)

series234.0ms (7.5%)

Counts

4 → 12

Calls

4 calls:

127.0ms	(/.f64 (.f64 d1 (+.f64 (pow.f64 d2 3) 27000)) (+.f64 (.f64 d2 d2) (-.f64 (.f64 30 30) (.f64 d2 30))))
61.0ms	(*.f64 d1 (+.f64 (pow.f64 d2 3) 27000))
35.0ms	(+.f64 (pow.f64 d2 3) 27000)
11.0ms	(+.f64 (.f64 d2 d2) (-.f64 (.f64 30 30) (*.f64 d2 30)))

simplify59.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5348	1381

prune100.0ms (3.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	85	2	87
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	86	4	90

Merged error: 0b

Counts

90 → 4

Compiler

Compiled 2019 to 1478 computations (26.8% saved)

localize12.0ms (0.4%)

Local error

Found 4 expressions with local error:

4.2b	(/.f64 (+.f64 (pow.f64 d2 3) 27000) (sqrt.f64 (+.f64 900 (*.f64 d2 (-.f64 d2 30)))))
10.3b	(sqrt.f64 (+.f64 900 (*.f64 d2 (-.f64 d2 30))))
10.3b	(sqrt.f64 (+.f64 900 (*.f64 d2 (-.f64 d2 30))))
12.4b	(.f64 (/.f64 d1 (sqrt.f64 (+.f64 900 (.f64 d2 (-.f64 d2 30))))) (/.f64 (+.f64 (pow.f64 d2 3) 27000) (sqrt.f64 (+.f64 900 (*.f64 d2 (-.f64 d2 30))))))

rewrite72.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Rules

83×	`add-sqr-sqrt_binary64_3510`
78×	`times-frac_binary64_3494`
77×	`*-un-lft-identity_binary64_3488`
51×	`add-cube-cbrt_binary64_3523`
48×	`sqrt-prod_binary64_3504`
30×	`associate-r_binary64_3428`
24×	`associate-l_binary64_3429`
18×	`add-cbrt-cube_binary64_3524` `add-exp-log_binary64_3526`
13×	`distribute-lft-out_binary64_3439`
10×	`sqrt-div_binary64_3505`
9×	`unswap-sqr_binary64_3456`
8×	`pow1_binary64_3549`
6×	`associate-/r*_binary64_3432` `flip-+_binary64_3462` `flip3-+_binary64_3491` `associate-/r/_binary64_3434`
5×	`div-exp_binary64_3539` `cbrt-undiv_binary64_3522`
4×	`associate-/l*_binary64_3433` `cbrt-unprod_binary64_3521` `add-log-exp_binary64_3527` `prod-exp_binary64_3537`
3×	`div-inv_binary64_3485`
2×	`associate-/l/_binary64_3435` `pow1/2_binary64_3568` `sqrt-pow1_binary64_3506` `rem-sqrt-square_binary64_3501`
1×	`associate-l/_binary64_3431` `clear-num_binary64_3487` `frac-times_binary64_3498` `associate-r/_binary64_3430` `pow-prod-down_binary64_3559` `frac-2neg_binary64_3499` `*-commutative_binary64_3419`

Counts

4 → 163

Calls

4 calls:

35.0ms	(.f64 (/.f64 d1 (sqrt.f64 (+.f64 900 (.f64 d2 (-.f64 d2 30))))) (/.f64 (+.f64 (pow.f64 d2 3) 27000) (sqrt.f64 (+.f64 900 (*.f64 d2 (-.f64 d2 30))))))
12.0ms	(/.f64 (+.f64 (pow.f64 d2 3) 27000) (sqrt.f64 (+.f64 900 (*.f64 d2 (-.f64 d2 30)))))
3.0ms	(sqrt.f64 (+.f64 900 (*.f64 d2 (-.f64 d2 30))))
3.0ms	(sqrt.f64 (+.f64 900 (*.f64 d2 (-.f64 d2 30))))

series178.0ms (5.7%)

Counts

4 → 12

Calls

4 calls:

125.0ms	(.f64 (/.f64 d1 (sqrt.f64 (+.f64 900 (.f64 d2 (-.f64 d2 30))))) (/.f64 (+.f64 (pow.f64 d2 3) 27000) (sqrt.f64 (+.f64 900 (*.f64 d2 (-.f64 d2 30))))))
25.0ms	(/.f64 (+.f64 (pow.f64 d2 3) 27000) (sqrt.f64 (+.f64 900 (*.f64 d2 (-.f64 d2 30)))))
14.0ms	(sqrt.f64 (+.f64 900 (*.f64 d2 (-.f64 d2 30))))
14.0ms	(sqrt.f64 (+.f64 900 (*.f64 d2 (-.f64 d2 30))))

simplify75.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

175 → 175

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5075	5540

prune367.0ms (11.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	175	0	175
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	175	4	179

Merged error: 0b

Counts

179 → 4

Compiler

Compiled 6087 to 4707 computations (22.7% saved)

localize14.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (+.f64 900 (.f64 d2 (-.f64 d2 30))) (-.f64 (pow.f64 d2 3) 27000))
0.1b	(*.f64 (pow.f64 d2 3) (pow.f64 d2 3))
1.6b	(.f64 d1 (-.f64 (.f64 (pow.f64 d2 3) (pow.f64 d2 3)) (*.f64 27000 27000)))
21.4b	(/.f64 (.f64 d1 (-.f64 (.f64 (pow.f64 d2 3) (pow.f64 d2 3)) (.f64 27000 27000))) (.f64 (+.f64 900 (*.f64 d2 (-.f64 d2 30))) (-.f64 (pow.f64 d2 3) 27000)))

rewrite79.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Rules

61×	`add-sqr-sqrt_binary64_3510`
32×	`add-exp-log_binary64_3526`
28×	`*-un-lft-identity_binary64_3488`
27×	`unpow-prod-down_binary64_3567` `cube-prod_binary64_3516`
26×	`add-cube-cbrt_binary64_3523`
24×	`associate-r_binary64_3428`
22×	`add-cbrt-cube_binary64_3524`
18×	`swap-sqr_binary64_3455` `unswap-sqr_binary64_3456` `associate-l_binary64_3429`
15×	`prod-exp_binary64_3537`
13×	`sqr-pow_binary64_3460`
8×	`flip3--_binary64_3492` `associate-/r/_binary64_3434` `cancel-sign-sub-inv_binary64_3454` `frac-times_binary64_3498` `associate-*r/_binary64_3430` `flip--_binary64_3463` `pow1_binary64_3549`
7×	`cbrt-unprod_binary64_3521`
6×	`pow-exp_binary64_3556` `distribute-lft-in_binary64_3437` `distribute-rgt-in_binary64_3438` `flip-+_binary64_3462` `flip3-+_binary64_3491` `pow-to-exp_binary64_3557`
5×	`difference-of-squares_binary64_3457`
4×	`unpow3_binary64_3554` `associate-*l/_binary64_3431` `add-log-exp_binary64_3527` `cube-mult_binary64_3518` `div-exp_binary64_3539` `cbrt-undiv_binary64_3522` `sub-neg_binary64_3481`
3×	`pow-prod-down_binary64_3559` `*-commutative_binary64_3419`
2×	`associate-/l/_binary64_3435`
1×	`clear-num_binary64_3487` `associate-/r_binary64_3432` `pow-prod-up_binary64_3558` `distribute-lft-out--_binary64_3440` `times-frac_binary64_3494` `associate-/l_binary64_3433` `pow2_binary64_3569` `frac-2neg_binary64_3499` `pow-sqr_binary64_3461` `div-inv_binary64_3485`

Counts

4 → 175

Calls

4 calls:

20.0ms	(/.f64 (.f64 d1 (-.f64 (.f64 (pow.f64 d2 3) (pow.f64 d2 3)) (.f64 27000 27000))) (.f64 (+.f64 900 (*.f64 d2 (-.f64 d2 30))) (-.f64 (pow.f64 d2 3) 27000)))
16.0ms	(.f64 (+.f64 900 (.f64 d2 (-.f64 d2 30))) (-.f64 (pow.f64 d2 3) 27000))
12.0ms	(.f64 d1 (-.f64 (.f64 (pow.f64 d2 3) (pow.f64 d2 3)) (*.f64 27000 27000)))
11.0ms	(*.f64 (pow.f64 d2 3) (pow.f64 d2 3))

series412.0ms (13.2%)

Counts

4 → 12

Calls

4 calls:

227.0ms	(/.f64 (.f64 d1 (-.f64 (.f64 (pow.f64 d2 3) (pow.f64 d2 3)) (.f64 27000 27000))) (.f64 (+.f64 900 (*.f64 d2 (-.f64 d2 30))) (-.f64 (pow.f64 d2 3) 27000)))
138.0ms	(.f64 d1 (-.f64 (.f64 (pow.f64 d2 3) (pow.f64 d2 3)) (*.f64 27000 27000)))
27.0ms	(*.f64 (pow.f64 d2 3) (pow.f64 d2 3))
20.0ms	(.f64 (+.f64 900 (.f64 d2 (-.f64 d2 30))) (-.f64 (pow.f64 d2 3) 27000))

simplify86.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

187 → 187

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4926	3122
1	4926	3122

prune358.0ms (11.5%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	187	0	187
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	187	4	191

Merged error: 0b

Counts

191 → 4

Compiler

Compiled 5646 to 4339 computations (23.1% saved)

regimes76.0ms (2.4%)

Compiler: Compiled 629 to 542 computations (13.8% 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%)

sample639.0ms (20.5%)

Algorithm

1×

intervals

Results

229.0ms	7848×	body	128	valid
14.0ms	105×	body	1024	valid
2.0ms	85×	body	128	invalid
2.0ms	29×	body	512	valid
1.0ms	17×	body	256	valid
0.0ms	1×	body	2048	valid

Compiler

Compiled 223 to 194 computations (13% saved)

Details

analyze71.0ms (2.3%)

sample14.0ms (0.5%)

simplify94.0ms (3%)

prune3.0ms (0.1%)

localize3.0ms (0.1%)

rewrite8.0ms (0.2%)

series26.0ms (0.8%)

simplify59.0ms (1.9%)

prune21.0ms (0.7%)

localize12.0ms (0.4%)

rewrite46.0ms (1.5%)

series234.0ms (7.5%)

simplify59.0ms (1.9%)

prune100.0ms (3.2%)

localize12.0ms (0.4%)

rewrite72.0ms (2.3%)

series178.0ms (5.7%)

simplify75.0ms (2.4%)

prune367.0ms (11.8%)

localize14.0ms (0.5%)

rewrite79.0ms (2.5%)

series412.0ms (13.2%)

simplify86.0ms (2.8%)

prune358.0ms (11.5%)

regimes76.0ms (2.4%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample639.0ms (20.5%)

Profiling