Details

analyze125.0ms (3.2%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	18
1	20	18
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
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)

sample14.0ms (0.4%)

Algorithm

1×

intervals

Results

7.0ms

256×

body

128

valid

Compiler

Compiled 13 to 15 computations (-15.4% saved)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	12	9
1	12	9

prune2.0ms (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

Error

16.9b

Counts

2 → 1

Compiler

Compiled 12 to 12 computations (0% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

16.6b

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

rewrite5.0ms (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:

4.0ms

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

series83.0ms (2.1%)

Counts

1 → 3

Calls

1 calls:

83.0ms

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

simplify69.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

19 → 19

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4895	244
1	4895	244

prune27.0ms (0.7%)

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

Error

0.2b

Counts

20 → 10

Compiler

Compiled 307 to 234 computations (23.8% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.4b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
0.6b	(cbrt.f64 (*.f64 2 a))
0.6b	(cbrt.f64 g)

rewrite14.0ms (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:

7.0ms	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
2.0ms	(cbrt.f64 (*.f64 2 a))
1.0ms	(cbrt.f64 g)

series279.0ms (7.1%)

Counts

3 → 9

Calls

3 calls:

99.0ms	(cbrt.f64 (*.f64 2 a))
93.0ms	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
87.0ms	(cbrt.f64 g)

simplify57.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5017	1128

prune88.0ms (2.2%)

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	60	15	75
Fresh	4	4	8
Picked	1	0	1
Done	0	1	1
Total	65	20	85

Error

0.0b

Counts

85 → 20

Compiler

Compiled 1213 to 806 computations (33.6% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 1 (cbrt.f64 (*.f64 2 a)))
0.3b	(.f64 (cbrt.f64 g) (/.f64 1 (cbrt.f64 (.f64 2 a))))
0.6b	(cbrt.f64 (*.f64 2 a))
0.6b	(cbrt.f64 g)

rewrite24.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

38×	`add-sqr-sqrt_binary64_2828`
28×	`times-frac_binary64_2812`
26×	`*-un-lft-identity_binary64_2806`
24×	`add-cube-cbrt_binary64_2841`
17×	`add-exp-log_binary64_2844` `cbrt-prod_binary64_2837`
16×	`associate-r_binary64_2746`
7×	`add-cbrt-cube_binary64_2842` `pow1_binary64_2867`
6×	`associate-l_binary64_2747` `unswap-sqr_binary64_2774`
4×	`div-exp_binary64_2857` `associate-/r*_binary64_2750` `prod-exp_binary64_2855` `add-log-exp_binary64_2845`
3×	`pow1/3_binary64_2888` `associate-/l*_binary64_2751`
2×	`1-exp_binary64_2850` `pow-flip_binary64_2880` `div-inv_binary64_2803` `rec-exp_binary64_2856` `cbrt-undiv_binary64_2840` `cbrt-unprod_binary64_2839`
1×	`-commutative_binary64_2737` `inv-pow_binary64_2891` `clear-num_binary64_2805` `associate-r/_binary64_2748` `un-div-inv_binary64_2804` `pow-prod-down_binary64_2877` `frac-2neg_binary64_2817`

Counts

4 → 101

Calls

4 calls:

11.0ms	(.f64 (cbrt.f64 g) (/.f64 1 (cbrt.f64 (.f64 2 a))))
4.0ms	(/.f64 1 (cbrt.f64 (*.f64 2 a)))
2.0ms	(cbrt.f64 (*.f64 2 a))
1.0ms	(cbrt.f64 g)

series391.0ms (9.9%)

Counts

4 → 12

Calls

4 calls:

111.0ms	(/.f64 1 (cbrt.f64 (*.f64 2 a)))
98.0ms	(cbrt.f64 (*.f64 2 a))
93.0ms	(.f64 (cbrt.f64 g) (/.f64 1 (cbrt.f64 (.f64 2 a))))
89.0ms	(cbrt.f64 g)

simplify68.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5248	1389

prune110.0ms (2.8%)

Pruning

20 alts after pruning (18 fresh and 2 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	18	18
Picked	0	1	1
Done	0	1	1
Total	113	20	133

Error

0.0b

Counts

133 → 20

Compiler

Compiled 1744 to 1263 computations (27.6% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(/.f64 1 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))
0.3b	(/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g))
0.6b	(cbrt.f64 (*.f64 2 a))
0.6b	(cbrt.f64 g)

rewrite37.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

204×	`times-frac_binary64_2812`
111×	`add-sqr-sqrt_binary64_2828` `*-un-lft-identity_binary64_2806` `add-cube-cbrt_binary64_2841`
98×	`cbrt-prod_binary64_2837`
34×	`associate-/r*_binary64_2750`
17×	`add-exp-log_binary64_2844`
8×	`div-exp_binary64_2857`
7×	`add-cbrt-cube_binary64_2842` `associate-/l*_binary64_2751`
6×	`div-inv_binary64_2803`
5×	`pow1_binary64_2867`
4×	`cbrt-undiv_binary64_2840` `add-log-exp_binary64_2845`
2×	`1-exp_binary64_2850` `pow1/3_binary64_2888` `rec-exp_binary64_2856` `clear-num_binary64_2805` `frac-2neg_binary64_2817`
1×	`pow-flip_binary64_2880` `inv-pow_binary64_2891` `associate-/r/_binary64_2752`

Counts

4 → 202

Calls

4 calls:

9.0ms	(/.f64 1 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))
5.0ms	(/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g))
2.0ms	(cbrt.f64 (*.f64 2 a))
2.0ms	(cbrt.f64 g)

series371.0ms (9.4%)

Counts

4 → 12

Calls

4 calls:

102.0ms	(cbrt.f64 (*.f64 2 a))
101.0ms	(/.f64 1 (/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g)))
90.0ms	(/.f64 (cbrt.f64 (*.f64 2 a)) (cbrt.f64 g))
79.0ms	(cbrt.f64 g)

simplify107.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

214 → 214

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4977	4409
1	4977	4409

prune206.0ms (5.2%)

Pruning

20 alts after pruning (18 fresh and 2 done)

	Pruned	Kept	Total
New	211	3	214
Fresh	2	15	17
Picked	0	1	1
Done	1	1	2
Total	214	20	234

Error

0.0b

Counts

234 → 20

Compiler

Compiled 3502 to 2284 computations (34.8% saved)

regimes491.0ms (12.5%)

Accuracy

Total 0.8b remaining (96.7%)

Threshold costs 0.8b (96.7%)

Compiler

Compiled 3884 to 3333 computations (14.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	11
1	9	11

end0.0ms (0%)

sample1.3s (33.7%)

Algorithm

1×

intervals

Results

232.0ms

8000×

body

128

valid

Compiler

Compiled 746 to 641 computations (14.1% saved)

Details

analyze125.0ms (3.2%)

sample14.0ms (0.4%)

simplify7.0ms (0.2%)

prune2.0ms (0.1%)

localize5.0ms (0.1%)

rewrite5.0ms (0.1%)

series83.0ms (2.1%)

simplify69.0ms (1.8%)

prune27.0ms (0.7%)

localize6.0ms (0.2%)

rewrite14.0ms (0.4%)

series279.0ms (7.1%)

simplify57.0ms (1.5%)

prune88.0ms (2.2%)

localize7.0ms (0.2%)

rewrite24.0ms (0.6%)

series391.0ms (9.9%)

simplify68.0ms (1.7%)

prune110.0ms (2.8%)

localize11.0ms (0.3%)

rewrite37.0ms (0.9%)

series371.0ms (9.4%)

simplify107.0ms (2.7%)

prune206.0ms (5.2%)

regimes491.0ms (12.5%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.3s (33.7%)

Profiling