Details

analyze481.0ms (8.7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	782	20
1	782	20
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
0%	99.9%	0.1%	3
25%	74.9%	0.1%	4
37.5%	62.4%	0.1%	5
62.4%	37.5%	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 9 to 7 computations (22.2% saved)

sample18.0ms (0.3%)

Algorithm

1×

intervals

Results

7.0ms

256×

body

128

valid

Compiler

Compiled 17 to 15 computations (11.8% saved)

simplify97.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (91.0ms)

Iter	Nodes	Cost
0	782	10
1	782	10

prune15.0ms (0.3%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

0.0b

Counts

2 → 1

Compiler

Compiled 14 to 10 computations (28.6% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(/.f64 (+.f64 f n) (-.f64 n f))

rewrite51.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

34×	`*-un-lft-identity_binary64`
22×	`add-sqr-sqrt_binary64`
20×	`times-frac_binary64`
12×	`add-cube-cbrt_binary64`
6×	`distribute-lft-out_binary64`
5×	`difference-of-squares_binary64` `distribute-lft-out--_binary64` `associate-/r*_binary64`
4×	`associate-/l*_binary64`
3×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
2×	`associate-/l/_binary64` `associate-/r/_binary64`
1×	`pow1_binary64` `div-exp_binary64` `add-log-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `flip3-+_binary64` `flip-+_binary64` `flip3--_binary64` `flip--_binary64`

Counts

1 → 45

Calls

1 calls:

11.0ms

(/.f64 (+.f64 f n) (-.f64 n f))

Compiler

Compiled 714 to 167 computations (76.6% saved)

series152.0ms (2.8%)

Error

0.0b

Counts

1 → 21

Calls

1 calls:

135.0ms

(/.f64 (+.f64 f n) (-.f64 n f))

Compiler

Compiled 561 to 472 computations (15.9% saved)

simplify80.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4984	1063
1	4984	1063

prune51.0ms (0.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	63	3	66
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	63	4	67

Error

Counts

67 → 4

Compiler

Compiled 891 to 266 computations (70.1% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
0.0b	(*.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))

rewrite409.0ms (7.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

321×	`*-un-lft-identity_binary64`
190×	`times-frac_binary64`
183×	`add-sqr-sqrt_binary64`
160×	`cbrt-prod_binary64`
89×	`add-cube-cbrt_binary64`
56×	`distribute-lft-out_binary64`
51×	`swap-sqr_binary64`
47×	`distribute-lft-out--_binary64`
35×	`difference-of-squares_binary64`
29×	`associate-l_binary64` `associate-r_binary64`
15×	`associate-/r*_binary64`
14×	`associate-/r/_binary64`
12×	`add-exp-log_binary64` `associate-/l*_binary64`
11×	`pow1_binary64`
10×	`add-cbrt-cube_binary64`
9×	`unswap-sqr_binary64`
7×	`div-inv_binary64` `flip3--_binary64` `flip--_binary64`
6×	`pow1/3_binary64` `associate-/l/_binary64`
4×	`add-log-exp_binary64` `cbrt-div_binary64`
3×	`div-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `clear-num_binary64` `flip3-+_binary64` `flip-+_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`pow2_binary64` `pow-plus_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `frac-times_binary64` `associate-l/_binary64` `associate-r/_binary64` `*-commutative_binary64`

Counts

4 → 274

Calls

4 calls:

39.0ms	(*.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
8.0ms	(/.f64 (+.f64 f n) (-.f64 n f))
8.0ms	(/.f64 (+.f64 f n) (-.f64 n f))
8.0ms	(/.f64 (+.f64 f n) (-.f64 n f))

Compiler

Compiled 10309 to 1469 computations (85.8% saved)

series639.0ms (11.6%)

Error

Counts

4 → 84

Calls

4 calls:

208.0ms	(*.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
135.0ms	(/.f64 (+.f64 f n) (-.f64 n f))
111.0ms	(/.f64 (+.f64 f n) (-.f64 n f))
90.0ms	(/.f64 (+.f64 f n) (-.f64 n f))

Compiler

Compiled 5262 to 2744 computations (47.9% saved)

simplify173.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

358 → 358

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	5489	8165

prune458.0ms (8.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	358	0	358
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	358	4	362

Error

Counts

362 → 4

Compiler

Compiled 11707 to 1941 computations (83.4% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 2 (/.f64 n f))
0.0b	(+.f64 -1 (.f64 (/.f64 n f) (-.f64 -2 (.f64 2 (/.f64 n f)))))
0.1b	(.f64 (/.f64 n f) (-.f64 -2 (.f64 2 (/.f64 n f))))

rewrite134.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

29×	`add-sqr-sqrt_binary64`
20×	`times-frac_binary64`
19×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
16×	`associate-l_binary64` `associate-r_binary64`
13×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`pow1_binary64`
5×	`add-log-exp_binary64`
4×	`prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `sub-neg_binary64` `distribute-rgt-in_binary64` `cancel-sign-sub-inv_binary64` `distribute-lft-in_binary64` `associate-+r+_binary64`
3×	`associate-*r/_binary64`
2×	`pow-prod-down_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `flip3--_binary64` `frac-times_binary64` `flip--_binary64` `div-inv_binary64` `*-commutative_binary64`
1×	`associate-*l/_binary64` `sum-log_binary64` `flip3-+_binary64` `flip-+_binary64` `+-commutative_binary64`

Counts

3 → 87

Calls

3 calls:

12.0ms	(.f64 (/.f64 n f) (-.f64 -2 (.f64 2 (/.f64 n f))))
8.0ms	(*.f64 2 (/.f64 n f))
5.0ms	(+.f64 -1 (.f64 (/.f64 n f) (-.f64 -2 (.f64 2 (/.f64 n f)))))

Compiler

Compiled 1930 to 1054 computations (45.4% saved)

series591.0ms (10.7%)

Error

Counts

3 → 36

Calls

3 calls:

259.0ms	(+.f64 -1 (.f64 (/.f64 n f) (-.f64 -2 (.f64 2 (/.f64 n f)))))
233.0ms	(.f64 (/.f64 n f) (-.f64 -2 (.f64 2 (/.f64 n f))))
62.0ms	(*.f64 2 (/.f64 n f))

Compiler

Compiled 1194 to 972 computations (18.6% saved)

simplify85.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4992	1918
1	4992	1918

prune114.0ms (2.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	123	0	123
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	123	4	127

Error

Counts

127 → 4

Compiler

Compiled 2122 to 1132 computations (46.7% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 2 (*.f64 2 (/.f64 f n)))
0.0b	(+.f64 1 (.f64 (/.f64 f n) (+.f64 2 (.f64 2 (/.f64 f n)))))
0.1b	(.f64 (/.f64 f n) (+.f64 2 (.f64 2 (/.f64 f n))))

rewrite95.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

16×	`add-sqr-sqrt_binary64`
13×	`associate-l_binary64`
11×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
10×	`times-frac_binary64`
8×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`add-log-exp_binary64`
5×	`pow1_binary64`
4×	`flip3-+_binary64` `flip-+_binary64`
3×	`associate-r_binary64`
2×	`prod-exp_binary64` `cbrt-unprod_binary64` `frac-times_binary64` `unswap-sqr_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `associate-*r/_binary64` `sum-log_binary64` `associate-+r+_binary64` `+-commutative_binary64`
1×	`pow-prod-down_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `associate-l/_binary64` `div-inv_binary64` `-commutative_binary64`

Counts

3 → 62

Calls

3 calls:

9.0ms	(.f64 (/.f64 f n) (+.f64 2 (.f64 2 (/.f64 f n))))
4.0ms	(+.f64 1 (.f64 (/.f64 f n) (+.f64 2 (.f64 2 (/.f64 f n)))))
3.0ms	(+.f64 2 (*.f64 2 (/.f64 f n)))

Compiler

Compiled 1469 to 842 computations (42.7% saved)

series593.0ms (10.8%)

Error

Counts

3 → 42

Calls

3 calls:

268.0ms	(+.f64 1 (.f64 (/.f64 f n) (+.f64 2 (.f64 2 (/.f64 f n)))))
199.0ms	(.f64 (/.f64 f n) (+.f64 2 (.f64 2 (/.f64 f n))))
99.0ms	(+.f64 2 (*.f64 2 (/.f64 f n)))

Compiler

Compiled 1254 to 996 computations (20.6% saved)

simplify79.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4993	1739
1	4993	1739

prune108.0ms (2%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	104	0	104
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	104	4	108

Error

Counts

108 → 4

Compiler

Compiled 1720 to 937 computations (45.5% saved)

regimes124.0ms (2.3%)

Accuracy

Total 0.0b remaining (90.9%)

Threshold costs 0.0b (90.9%)

Compiler

Compiled 991 to 593 computations (40.2% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	14
1	19	14

end0.0ms (0%)

sample919.0ms (16.7%)

Algorithm

1×

intervals

Results

274.0ms

8000×

body

128

valid

Compiler

Compiled 333 to 199 computations (40.2% saved)

Details

analyze481.0ms (8.7%)

sample18.0ms (0.3%)

simplify97.0ms (1.8%)

prune15.0ms (0.3%)

localize7.0ms (0.1%)

rewrite51.0ms (0.9%)

series152.0ms (2.8%)

simplify80.0ms (1.5%)

prune51.0ms (0.9%)

localize10.0ms (0.2%)

rewrite409.0ms (7.4%)

series639.0ms (11.6%)

simplify173.0ms (3.1%)

prune458.0ms (8.3%)

localize10.0ms (0.2%)

rewrite134.0ms (2.4%)

series591.0ms (10.7%)

simplify85.0ms (1.6%)

prune114.0ms (2.1%)

localize10.0ms (0.2%)

rewrite95.0ms (1.7%)

series593.0ms (10.8%)

simplify79.0ms (1.4%)

prune108.0ms (2%)

regimes124.0ms (2.3%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample919.0ms (16.7%)

Profiling