Details

analyze57.0ms (0.9%)

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
50%	50%	0.1%	3
50%	50%	0.1%	4
74.9%	25%	0.1%	5
74.9%	25%	0.1%	6
87.4%	12.5%	0.1%	7
87.4%	12.5%	0.1%	8
93.7%	6.2%	0.1%	9
93.7%	6.2%	0.1%	10
96.8%	3.1%	0.1%	11
96.8%	3.1%	0.1%	12
98.3%	1.6%	0.1%	13
98.3%	1.6%	0.1%	14

Compiler

Compiled 7 to 7 computations (0% saved)

sample24.0ms (0.4%)

Algorithm

1×

intervals

Results

13.0ms

256×

body

128

valid

Compiler

Compiled 13 to 15 computations (-15.4% saved)

simplify147.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	12	9
1	12	9

prune4.0ms (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: 16.2b

Counts

2 → 1

Compiler

Compiled 12 to 12 computations (0% saved)

localize10.0ms (0.2%)

Local error

Found 1 expressions with local error:

15.8b

(cbrt.f64 (/.f64 g (*.f64 2 a)))

rewrite9.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`cbrt-prod_binary64_2837`
3×	`add-sqr-sqrt_binary64_2828` `times-frac_binary64_2812` `*-un-lft-identity_binary64_2806` `add-cube-cbrt_binary64_2841`
1×	`cbrt-div_binary64_2838` `add-exp-log_binary64_2844` `div-inv_binary64_2803` `pow1/3_binary64_2888` `add-cbrt-cube_binary64_2842` `add-log-exp_binary64_2845` `pow1_binary64_2867`

Counts

1 → 16

Calls

1 calls:

7.0ms

(cbrt.f64 (/.f64 g (*.f64 2 a)))

series141.0ms (2.3%)

Counts

1 → 3

Calls

1 calls:

141.0ms

(cbrt.f64 (/.f64 g (*.f64 2 a)))

simplify108.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

19 → 19

Iterations

Useful iterations: 0 (95.0ms)

Iter	Nodes	Cost
0	4895	244
1	4895	244

prune52.0ms (0.9%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	10	9	19
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	10	10	20

Merged error: 0.2b

Counts

20 → 10

Compiler

Compiled 305 to 233 computations (23.6% saved)

localize12.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.3b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
0.6b	(cbrt.f64 g)
0.6b	(cbrt.f64 (*.f64 2 a))

rewrite26.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`cbrt-prod_binary64_2837`
24×	`times-frac_binary64_2812`
21×	`add-sqr-sqrt_binary64_2828` `*-un-lft-identity_binary64_2806` `add-cube-cbrt_binary64_2841`
6×	`associate-/l*_binary64_2751`
5×	`add-exp-log_binary64_2844`
4×	`associate-/r*_binary64_2750`
3×	`add-cbrt-cube_binary64_2842` `add-log-exp_binary64_2845` `pow1_binary64_2867`
2×	`pow1/3_binary64_2888`
1×	`div-inv_binary64_2803` `div-exp_binary64_2857` `cbrt-undiv_binary64_2840` `clear-num_binary64_2805` `frac-2neg_binary64_2817`

Counts

3 → 66

Calls

3 calls:

8.0ms	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
4.0ms	(cbrt.f64 (*.f64 2 a))
2.0ms	(cbrt.f64 g)

series536.0ms (8.8%)

Counts

3 → 9

Calls

3 calls:

203.0ms	(cbrt.f64 (*.f64 2 a))
172.0ms	(cbrt.f64 g)
160.0ms	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))

simplify100.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	5017	1128

prune156.0ms (2.6%)

Pruning

17 alts after pruning (15 fresh and 2 done)

	Pruned	Kept	Total
New	64	11	75
Fresh	4	4	8
Picked	0	1	1
Done	0	1	1
Total	68	17	85

Merged error: 0.0b

Counts

85 → 17

Compiler

Compiled 1203 to 788 computations (34.5% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(/.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 2) (cbrt.f64 a)))
0.6b	(cbrt.f64 g)
0.6b	(cbrt.f64 a)
1.0b	(cbrt.f64 2)

rewrite21.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`cbrt-prod_binary64_2837`
11×	`add-sqr-sqrt_binary64_2828` `*-un-lft-identity_binary64_2806` `add-cube-cbrt_binary64_2841`
9×	`add-exp-log_binary64_2844`
6×	`times-frac_binary64_2812` `associate-/l*_binary64_2751`
5×	`add-cbrt-cube_binary64_2842`
4×	`add-log-exp_binary64_2845` `pow1_binary64_2867`
3×	`pow1/3_binary64_2888`
2×	`div-exp_binary64_2857` `cbrt-undiv_binary64_2840`
1×	`div-inv_binary64_2803` `associate-/r*_binary64_2750` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839` `clear-num_binary64_2805` `frac-2neg_binary64_2817`

Counts

4 → 60

Calls

4 calls:

10.0ms	(/.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 2) (cbrt.f64 a)))
2.0ms	(cbrt.f64 2)
2.0ms	(cbrt.f64 a)
2.0ms	(cbrt.f64 g)

series485.0ms (8%)

Counts

4 → 10

Calls

4 calls:

175.0ms	(cbrt.f64 g)
163.0ms	(/.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 2) (cbrt.f64 a)))
146.0ms	(cbrt.f64 a)
0.0ms	(cbrt.f64 2)

simplify111.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	4944	693
1	4944	693

prune122.0ms (2%)

Pruning

19 alts after pruning (16 fresh and 3 done)

	Pruned	Kept	Total
New	68	2	70
Fresh	0	14	14
Picked	0	1	1
Done	0	2	2
Total	68	19	87

Merged error: 0.0b

Counts

87 → 19

Compiler

Compiled 1066 to 669 computations (37.2% saved)

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 g)
0.6b	(cbrt.f64 a)
1.0b	(/.f64 1 (cbrt.f64 2))
1.0b	(cbrt.f64 2)

rewrite22.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-sqr-sqrt_binary64_2828` `*-un-lft-identity_binary64_2806` `add-cube-cbrt_binary64_2841`
21×	`cbrt-prod_binary64_2837`
18×	`times-frac_binary64_2812`
8×	`add-exp-log_binary64_2844`
6×	`associate-/r*_binary64_2750`
5×	`add-cbrt-cube_binary64_2842` `pow1_binary64_2867`
4×	`pow1/3_binary64_2888` `add-log-exp_binary64_2845`
3×	`associate-/l*_binary64_2751`
2×	`pow-flip_binary64_2880` `div-exp_binary64_2857`
1×	`1-exp_binary64_2850` `div-inv_binary64_2803` `rec-exp_binary64_2856` `cbrt-undiv_binary64_2840` `inv-pow_binary64_2891` `clear-num_binary64_2805` `frac-2neg_binary64_2817`

Counts

4 → 77

Calls

4 calls:

7.0ms	(/.f64 1 (cbrt.f64 2))
2.0ms	(cbrt.f64 2)
2.0ms	(cbrt.f64 a)
2.0ms	(cbrt.f64 g)

series308.0ms (5.1%)

Counts

4 → 8

Calls

4 calls:

161.0ms	(cbrt.f64 g)
146.0ms	(cbrt.f64 a)
0.0ms	(cbrt.f64 2)
0.0ms	(/.f64 1 (cbrt.f64 2))

simplify111.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	5393	748

prune135.0ms (2.2%)

Pruning

16 alts after pruning (13 fresh and 3 done)

	Pruned	Kept	Total
New	82	3	85
Fresh	5	10	15
Picked	0	1	1
Done	1	2	3
Total	88	16	104

Merged error: 0.0b

Counts

104 → 16

Compiler

Compiled 1188 to 772 computations (35% saved)

regimes870.0ms (14.3%)

Compiler: Compiled 4007 to 3476 computations (13.3% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	14
1	13	14

end0.0ms (0%)

sample2.5s (40.8%)

Algorithm

1×

intervals

Results

412.0ms

8000×

body

128

valid

Compiler

Compiled 774 to 673 computations (13% saved)

Details

analyze57.0ms (0.9%)

sample24.0ms (0.4%)

simplify147.0ms (2.4%)

prune4.0ms (0.1%)

localize10.0ms (0.2%)

rewrite9.0ms (0.1%)

series141.0ms (2.3%)

simplify108.0ms (1.8%)

prune52.0ms (0.9%)

localize12.0ms (0.2%)

rewrite26.0ms (0.4%)

series536.0ms (8.8%)

simplify100.0ms (1.6%)

prune156.0ms (2.6%)

localize14.0ms (0.2%)

rewrite21.0ms (0.3%)

series485.0ms (8%)

simplify111.0ms (1.8%)

prune122.0ms (2%)

localize17.0ms (0.3%)

rewrite22.0ms (0.4%)

series308.0ms (5.1%)

simplify111.0ms (1.8%)

prune135.0ms (2.2%)

regimes870.0ms (14.3%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample2.5s (40.8%)

Profiling