Details

analyze381.0ms (1.4%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	107	40
1	107	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
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
37.4%	62.4%	0.1%	8
40.6%	57.7%	1.7%	9
45.2%	51.1%	3.7%	10
57.7%	33.5%	8.7%	11
59.7%	29.4%	10.9%	12
62%	25%	13%	13
68.3%	17.4%	14.4%	14

Compiler

Compiled 12 to 10 computations (16.7% saved)

sample18.0ms (0.1%)

Algorithm

1×

intervals

Results

7.0ms	238×	body	128	valid
1.0ms	8×	body	1024	valid
0.0ms	15×	body	128	invalid
0.0ms	6×	body	256	valid
0.0ms	4×	body	512	valid

Compiler

Compiled 23 to 22 computations (4.3% saved)

simplify10.0ms (0%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	43	10
1	43	10

prune3.0ms (0%)

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: 0.1b

Counts

2 → 2

Compiler

Compiled 25 to 23 computations (8% saved)

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 d1 (+.f64 3 (+.f64 d2 d3)))

rewrite9.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`*-un-lft-identity_binary64_3488`
5×	`add-sqr-sqrt_binary64_3510` `associate-r_binary64_3428`
3×	`distribute-lft-out_binary64_3439` `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-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 → 24

Calls

1 calls:

8.0ms

(*.f64 d1 (+.f64 3 (+.f64 d2 d3)))

series27.0ms (0.1%)

Counts

1 → 3

Calls

1 calls:

27.0ms

(*.f64 d1 (+.f64 3 (+.f64 d2 d3)))

simplify59.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5245	315

prune27.0ms (0.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	24	3	27
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	25	4	29

Merged error: 0.0b

Counts

29 → 4

Compiler

Compiled 384 to 207 computations (46.1% saved)

localize9.0ms (0%)

Local error

Found 4 expressions with local error:

0.4b	(cbrt.f64 (+.f64 3 (+.f64 d2 d3)))
0.4b	(cbrt.f64 (+.f64 3 (+.f64 d2 d3)))
0.4b	(cbrt.f64 (+.f64 3 (+.f64 d2 d3)))
0.4b	(.f64 (.f64 d1 (*.f64 (cbrt.f64 (+.f64 3 (+.f64 d2 d3))) (cbrt.f64 (+.f64 3 (+.f64 d2 d3))))) (cbrt.f64 (+.f64 3 (+.f64 d2 d3))))

rewrite52.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

60×	`cbrt-div_binary64_3520`
32×	`associate-*r/_binary64_3430`
30×	`flip-+_binary64_3462` `flip3-+_binary64_3491`
29×	`*-un-lft-identity_binary64_3488`
28×	`frac-times_binary64_3498`
20×	`cbrt-prod_binary64_3519`
14×	`associate-*l/_binary64_3431`
13×	`add-exp-log_binary64_3526` `pow1_binary64_3549`
12×	`distribute-lft-out_binary64_3439`
9×	`add-sqr-sqrt_binary64_3510` `add-cube-cbrt_binary64_3523`
8×	`add-cbrt-cube_binary64_3524` `associate-r_binary64_3428`
6×	`cbrt-unprod_binary64_3521` `pow-prod-down_binary64_3559` `prod-exp_binary64_3537`
4×	`add-log-exp_binary64_3527`
3×	`pow1/3_binary64_3570`
1×	`associate-l_binary64_3429` `*-commutative_binary64_3419`

Counts

4 → 97

Calls

4 calls:

25.0ms	(.f64 (.f64 d1 (*.f64 (cbrt.f64 (+.f64 3 (+.f64 d2 d3))) (cbrt.f64 (+.f64 3 (+.f64 d2 d3))))) (cbrt.f64 (+.f64 3 (+.f64 d2 d3))))
5.0ms	(cbrt.f64 (+.f64 3 (+.f64 d2 d3)))
5.0ms	(cbrt.f64 (+.f64 3 (+.f64 d2 d3)))
5.0ms	(cbrt.f64 (+.f64 3 (+.f64 d2 d3)))

series247.0ms (0.9%)

Counts

4 → 12

Calls

4 calls:

76.0ms	(cbrt.f64 (+.f64 3 (+.f64 d2 d3)))
71.0ms	(cbrt.f64 (+.f64 3 (+.f64 d2 d3)))
65.0ms	(cbrt.f64 (+.f64 3 (+.f64 d2 d3)))
35.0ms	(.f64 (.f64 d1 (*.f64 (cbrt.f64 (+.f64 3 (+.f64 d2 d3))) (cbrt.f64 (+.f64 3 (+.f64 d2 d3))))) (cbrt.f64 (+.f64 3 (+.f64 d2 d3))))

simplify83.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5085	2870

prune144.0ms (0.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	108	1	109
Fresh	2	0	2
Picked	0	1	1
Done	0	1	1
Total	110	3	113

Merged error: 0b

Counts

113 → 3

Compiler

Compiled 3242 to 1807 computations (44.3% saved)

localize29.0ms (0.1%)

Local error

Found 4 expressions with local error:

15.0b	(/.f64 (.f64 (cbrt.f64 (+.f64 3 (+.f64 d2 d3))) (.f64 d1 (.f64 (cbrt.f64 (+.f64 27 (pow.f64 (+.f64 d2 d3) 3))) (cbrt.f64 (-.f64 9 (.f64 (+.f64 d2 d3) (+.f64 d2 d3))))))) (.f64 (cbrt.f64 (+.f64 9 (.f64 (+.f64 d2 d3) (+.f64 (+.f64 d2 d3) -3)))) (cbrt.f64 (-.f64 3 (+.f64 d2 d3)))))
16.7b	(cbrt.f64 (-.f64 9 (*.f64 (+.f64 d2 d3) (+.f64 d2 d3))))
16.7b	(cbrt.f64 (+.f64 9 (*.f64 (+.f64 d2 d3) (+.f64 (+.f64 d2 d3) -3))))
24.6b	(cbrt.f64 (+.f64 27 (pow.f64 (+.f64 d2 d3) 3)))

rewrite75.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

72×	`cbrt-div_binary64_3520`
40×	`associate-*r/_binary64_3430`
36×	`add-exp-log_binary64_3526`
32×	`frac-times_binary64_3498`
26×	`associate-/l/_binary64_3435`
23×	`flip-+_binary64_3462` `flip3-+_binary64_3491`
18×	`add-cbrt-cube_binary64_3524`
16×	`cbrt-unprod_binary64_3521` `prod-exp_binary64_3537`
13×	`flip3--_binary64_3492` `flip--_binary64_3463`
11×	`cbrt-prod_binary64_3519`
10×	`associate-*l/_binary64_3431`
9×	`*-un-lft-identity_binary64_3488`
8×	`add-sqr-sqrt_binary64_3510` `associate-/r/_binary64_3434` `div-exp_binary64_3539` `cbrt-undiv_binary64_3522`
7×	`add-cube-cbrt_binary64_3523`
4×	`add-log-exp_binary64_3527` `pow1_binary64_3549`
3×	`pow1/3_binary64_3570`
1×	`difference-of-squares_binary64_3457` `distribute-lft-out_binary64_3439` `clear-num_binary64_3487` `associate-/r_binary64_3432` `times-frac_binary64_3494` `associate-/l_binary64_3433` `frac-2neg_binary64_3499` `div-inv_binary64_3485`

Counts

4 → 104

Calls

4 calls:

41.0ms	(/.f64 (.f64 (cbrt.f64 (+.f64 3 (+.f64 d2 d3))) (.f64 d1 (.f64 (cbrt.f64 (+.f64 27 (pow.f64 (+.f64 d2 d3) 3))) (cbrt.f64 (-.f64 9 (.f64 (+.f64 d2 d3) (+.f64 d2 d3))))))) (.f64 (cbrt.f64 (+.f64 9 (.f64 (+.f64 d2 d3) (+.f64 (+.f64 d2 d3) -3)))) (cbrt.f64 (-.f64 3 (+.f64 d2 d3)))))
8.0ms	(cbrt.f64 (+.f64 27 (pow.f64 (+.f64 d2 d3) 3)))
3.0ms	(cbrt.f64 (-.f64 9 (*.f64 (+.f64 d2 d3) (+.f64 d2 d3))))
2.0ms	(cbrt.f64 (+.f64 9 (*.f64 (+.f64 d2 d3) (+.f64 (+.f64 d2 d3) -3))))

series24.3s (90.4%)

Counts

4 → 12

Calls

4 calls:

23.8s	(/.f64 (.f64 (cbrt.f64 (+.f64 3 (+.f64 d2 d3))) (.f64 d1 (.f64 (cbrt.f64 (+.f64 27 (pow.f64 (+.f64 d2 d3) 3))) (cbrt.f64 (-.f64 9 (.f64 (+.f64 d2 d3) (+.f64 d2 d3))))))) (.f64 (cbrt.f64 (+.f64 9 (.f64 (+.f64 d2 d3) (+.f64 (+.f64 d2 d3) -3)))) (cbrt.f64 (-.f64 3 (+.f64 d2 d3)))))
216.0ms	(cbrt.f64 (-.f64 9 (*.f64 (+.f64 d2 d3) (+.f64 d2 d3))))
181.0ms	(cbrt.f64 (+.f64 27 (pow.f64 (+.f64 d2 d3) 3)))
100.0ms	(cbrt.f64 (+.f64 9 (*.f64 (+.f64 d2 d3) (+.f64 (+.f64 d2 d3) -3))))

simplify102.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4942	5670
1	4942	5670

prune342.0ms (1.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	116	0	116
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	116	3	119

Merged error: 0b

Counts

119 → 3

Compiler

Compiled 7213 to 4144 computations (42.5% saved)

regimes128.0ms (0.5%)

Compiler: Compiled 1424 to 1000 computations (29.8% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	10
1	11	10

end0.0ms (0%)

sample840.0ms (3.1%)

Algorithm

1×

intervals

Results

242.0ms	7494×	body	128	valid
21.0ms	682×	body	128	invalid
18.0ms	219×	body	512	valid
17.0ms	162×	body	1024	valid
7.0ms	125×	body	256	valid

Compiler

Compiled 375 to 268 computations (28.5% saved)

Details

analyze381.0ms (1.4%)

sample18.0ms (0.1%)

simplify10.0ms (0%)

prune3.0ms (0%)

localize5.0ms (0%)

rewrite9.0ms (0%)

series27.0ms (0.1%)

simplify59.0ms (0.2%)

prune27.0ms (0.1%)

localize9.0ms (0%)

rewrite52.0ms (0.2%)

series247.0ms (0.9%)

simplify83.0ms (0.3%)

prune144.0ms (0.5%)

localize29.0ms (0.1%)

rewrite75.0ms (0.3%)

series24.3s (90.4%)

simplify102.0ms (0.4%)

prune342.0ms (1.3%)

regimes128.0ms (0.5%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample840.0ms (3.1%)

Profiling