Details

analyze370.0ms (9.5%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2142	26
1	2142	26
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
25%	74.9%	0.1%	3
25%	74.9%	0.1%	4
56.2%	43.7%	0.1%	5
65.6%	34.3%	0.1%	6
79.6%	20.3%	0.1%	7
83.5%	16.4%	0.1%	8
90.1%	9.8%	0.1%	9
91.9%	8%	0.1%	10
95.1%	4.8%	0.1%	11
96%	4%	0.1%	12
97.5%	2.4%	0.1%	13
97.9%	2%	0.1%	14

Compiler

Compiled 10 to 8 computations (20% saved)

sample14.0ms (0.4%)

Algorithm

1×

intervals

Results

6.0ms

256×

body

128

valid

Compiler

Compiled 19 to 17 computations (10.5% saved)

simplify221.0ms (5.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (215.0ms)

Iter	Nodes	Cost
0	2142	13
1	2142	13

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

0.0b

Counts

2 → 1

Compiler

Compiled 18 to 14 computations (22.2% saved)

localize10.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b	(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))

rewrite70.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

58×	`*-un-lft-identity_binary64_21220`
40×	`add-sqr-sqrt_binary64_21242`
30×	`times-frac_binary64_21226`
19×	`distribute-lft-out--_binary64_21172`
14×	`add-cube-cbrt_binary64_21255`
13×	`difference-of-squares_binary64_21189`
6×	`distribute-lft-out_binary64_21171` `associate-/r*_binary64_21164`
5×	`associate-/l*_binary64_21165`
3×	`add-exp-log_binary64_21258` `add-cbrt-cube_binary64_21256`
2×	`flip3--_binary64_21224` `associate-/l/_binary64_21167` `flip--_binary64_21195` `associate-/r/_binary64_21166`
1×	`pow1_binary64_21281` `div-exp_binary64_21271` `add-log-exp_binary64_21259` `cbrt-undiv_binary64_21254` `frac-2neg_binary64_21231` `div-sub_binary64_21225` `clear-num_binary64_21219` `div-inv_binary64_21217`

Counts

1 → 58

Calls

1 calls:

10.0ms

(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))

Compiler

Compiled 1117 to 472 computations (57.7% saved)

series188.0ms (4.8%)

Error

0.0b

Counts

1 → 23

Calls

1 calls:

153.0ms

(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))

Compiler

Compiled 1499 to 1192 computations (20.5% saved)

simplify66.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4954	2179
1	4954	2179

prune75.0ms (1.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	79	2	81
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	79	3	82

Error

Counts

82 → 3

Compiler

Compiled 1654 to 789 computations (52.3% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 (-.f64 x y)) (cbrt.f64 (-.f64 x y)))
0.6b	(cbrt.f64 (-.f64 x y))
0.6b	(cbrt.f64 (-.f64 x y))
0.6b	(cbrt.f64 (-.f64 x y))

rewrite124.0ms (3.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

43×	`cbrt-prod_binary64_21251`
37×	`add-sqr-sqrt_binary64_21242`
35×	`*-un-lft-identity_binary64_21220`
18×	`cbrt-div_binary64_21252`
15×	`add-cube-cbrt_binary64_21255`
11×	`pow1_binary64_21281`
10×	`swap-sqr_binary64_21187`
9×	`pow1/3_binary64_21302` `flip3--_binary64_21224` `flip--_binary64_21195` `distribute-lft-out--_binary64_21172`
8×	`associate-l_binary64_21161` `associate-r_binary64_21160`
7×	`difference-of-squares_binary64_21189`
6×	`add-exp-log_binary64_21258`
4×	`add-log-exp_binary64_21259` `add-cbrt-cube_binary64_21256` `frac-times_binary64_21230` `unswap-sqr_binary64_21188`
2×	`pow-prod-down_binary64_21291` `pow-prod-up_binary64_21290` `pow-sqr_binary64_21193` `associate-l/_binary64_21163` `associate-r/_binary64_21162`
1×	`pow2_binary64_21301` `pow-plus_binary64_21283` `prod-exp_binary64_21269` `cbrt-unprod_binary64_21253` `*-commutative_binary64_21151`

Counts

4 → 101

Calls

4 calls:

11.0ms	(*.f64 (cbrt.f64 (-.f64 x y)) (cbrt.f64 (-.f64 x y)))
6.0ms	(cbrt.f64 (-.f64 x y))
3.0ms	(cbrt.f64 (-.f64 x y))
3.0ms	(cbrt.f64 (-.f64 x y))

Compiler

Compiled 2826 to 710 computations (74.9% saved)

series413.0ms (10.5%)

Error

Counts

4 → 39

Calls

4 calls:

159.0ms	(*.f64 (cbrt.f64 (-.f64 x y)) (cbrt.f64 (-.f64 x y)))
78.0ms	(cbrt.f64 (-.f64 x y))
69.0ms	(cbrt.f64 (-.f64 x y))
66.0ms	(cbrt.f64 (-.f64 x y))

Compiler

Compiled 2937 to 2017 computations (31.3% saved)

simplify73.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4932	1960
1	4932	1960

prune122.0ms (3.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	140	0	140
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	140	3	143

Error

Counts

143 → 3

Compiler

Compiled 3460 to 1095 computations (68.4% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(exp.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 y x))))
0.0b	(/.f64 (-.f64 x y) (-.f64 2 (+.f64 y x)))
4.0b	(log.f64 (exp.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 y x)))))

rewrite204.0ms (5.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

159×	`*-un-lft-identity_binary64_21220`
111×	`add-sqr-sqrt_binary64_21242`
90×	`times-frac_binary64_21226`
72×	`exp-prod_binary64_21272`
51×	`distribute-lft-out--_binary64_21172`
41×	`add-cube-cbrt_binary64_21255`
37×	`log-pow_binary64_21309`
35×	`difference-of-squares_binary64_21189`
16×	`distribute-lft-out_binary64_21171`
6×	`associate-/r/_binary64_21166` `associate-/r*_binary64_21164`
5×	`add-exp-log_binary64_21258` `add-cbrt-cube_binary64_21256` `associate-/l*_binary64_21165`
4×	`pow1_binary64_21281` `flip3--_binary64_21224` `flip--_binary64_21195` `add-log-exp_binary64_21259`
3×	`div-inv_binary64_21217` `div-sub_binary64_21225` `log-prod_binary64_21306`
2×	`exp-diff_binary64_21268` `associate-/l/_binary64_21167`
1×	`log-div_binary64_21307` `rem-log-exp_binary64_21261` `div-exp_binary64_21271` `cbrt-undiv_binary64_21254` `frac-2neg_binary64_21231` `clear-num_binary64_21219` `rem-exp-log_binary64_21260`

Counts

3 → 152

Calls

3 calls:

14.0ms	(log.f64 (exp.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 y x)))))
13.0ms	(/.f64 (-.f64 x y) (-.f64 2 (+.f64 y x)))
12.0ms	(exp.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 y x))))

Compiler

Compiled 3352 to 1587 computations (52.7% saved)

series783.0ms (20%)

Error

Counts

3 → 68

Calls

3 calls:

275.0ms	(log.f64 (exp.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 y x)))))
226.0ms	(exp.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 y x))))
162.0ms	(/.f64 (-.f64 x y) (-.f64 2 (+.f64 y x)))

Compiler

Compiled 5104 to 4053 computations (20.6% saved)

simplify88.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

220 → 220

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5321	6045

prune238.0ms (6.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	220	0	220
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	220	3	223

Error

Counts

223 → 3

Compiler

Compiled 5267 to 2652 computations (49.6% saved)

regimes94.0ms (2.4%)

Accuracy

Total 0.0b remaining (66.8%)

Threshold costs 0.0b (66.8%)

Compiler

Compiled 838 to 601 computations (28.3% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	13
1	37	13

end0.0ms (0%)

sample739.0ms (18.9%)

Algorithm

1×

intervals

Results

219.0ms	7997×	body	128	valid
0.0ms	3×	body	256	valid

Compiler

Compiled 306 to 220 computations (28.1% saved)

Details

analyze370.0ms (9.5%)

sample14.0ms (0.4%)

simplify221.0ms (5.6%)

prune2.0ms (0.1%)

localize10.0ms (0.3%)

rewrite70.0ms (1.8%)

series188.0ms (4.8%)

simplify66.0ms (1.7%)

prune75.0ms (1.9%)

localize10.0ms (0.2%)

rewrite124.0ms (3.2%)

series413.0ms (10.5%)

simplify73.0ms (1.9%)

prune122.0ms (3.1%)

localize9.0ms (0.2%)

rewrite204.0ms (5.2%)

series783.0ms (20%)

simplify88.0ms (2.2%)

prune238.0ms (6.1%)

regimes94.0ms (2.4%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample739.0ms (18.9%)

Profiling