Details

analyze1.4s (17.6%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	14
1	45	14
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	50%	50%	0
0%	50%	50%	1
0%	50%	50%	2
0%	50%	50%	3
0%	50%	50%	4
3.1%	46.8%	50%	5
4.7%	45.3%	50%	6
5.5%	44.5%	50%	7
5.9%	44.1%	50%	8
6%	43.9%	50%	9
6.1%	43.8%	50%	10
6.2%	43.8%	50%	11
6.2%	43.7%	50%	12
6.2%	43.7%	50%	13
6.2%	43.7%	50%	14

Compiler

Compiled 16 to 13 computations (18.8% saved)

sample141.0ms (1.7%)

Algorithm

1×

intervals

Results

86.0ms	135×	body	1024	valid
18.0ms	57×	body	512	valid
13.0ms	15×	body	2048	valid
5.0ms	31×	body	256	valid
4.0ms	256×	pre	128	true
1.0ms	18×	body	128	valid

Compiler

Compiled 25 to 22 computations (12% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	45	14
1	45	14

prune2.0ms (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

Error

62.1b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
6.6b	(log.f64 (-.f64 1 x))
6.6b	(log.f64 (+.f64 1 x))

rewrite98.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

61.5b

Rules

20×	`*-un-lft-identity_binary64_419`
18×	`add-sqr-sqrt_binary64_441`
16×	`times-frac_binary64_425`
15×	`pow1_binary64_480` `add-cube-cbrt_binary64_454`
12×	`log-pow_binary64_508`
10×	`log-prod_binary64_505`
7×	`add-exp-log_binary64_457`
6×	`log-div_binary64_506`
5×	`add-cbrt-cube_binary64_455`
4×	`associate-/l_binary64_364` `associate-/r_binary64_363`
3×	`add-log-exp_binary64_458`
2×	`rem-log-exp_binary64_460` `flip3--_binary64_423` `flip--_binary64_394` `difference-of-squares_binary64_388` `div-sub_binary64_424`
1×	`flip3-+_binary64_422` `flip-+_binary64_393` `distribute-lft-out_binary64_370` `distribute-lft-out--_binary64_371` `div-exp_binary64_470` `cbrt-undiv_binary64_453` `frac-2neg_binary64_430` `clear-num_binary64_418` `div-inv_binary64_416`

Counts

3 → 70

Calls

3 calls:

7.0ms	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
4.0ms	(log.f64 (-.f64 1 x))
3.0ms	(log.f64 (+.f64 1 x))

Compiler

Compiled 1200 to 974 computations (18.8% saved)

series122.0ms (1.5%)

Error

0.0b

Counts

3 → 20

Calls

3 calls:

47.0ms	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
26.0ms	(log.f64 (+.f64 1 x))
24.0ms	(log.f64 (-.f64 1 x))

Compiler

Compiled 662 to 559 computations (15.6% saved)

simplify105.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (86.0ms)

Iter	Nodes	Cost
0	4971	1401
1	4971	1401

prune87.0ms (1.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	88	2	90
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	88	3	91

Error

0.0b

Counts

91 → 3

Compiler

Compiled 1308 to 1019 computations (22.1% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(.f64 1/2 (.f64 x x))

rewrite20.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

6×	`pow1_binary64_480` `add-exp-log_binary64_457` `add-cbrt-cube_binary64_455`
3×	`pow-prod-down_binary64_490` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `add-sqr-sqrt_binary64_441` `associate-l_binary64_360`
2×	`add-cube-cbrt_binary64_454` `*-un-lft-identity_binary64_419`
1×	`add-log-exp_binary64_458` `unswap-sqr_binary64_387` `associate-r_binary64_359` `*-commutative_binary64_350`

Counts

1 → 19

Calls

1 calls:

6.0ms

(*.f64 1/2 (*.f64 x x))

Compiler

Compiled 269 to 170 computations (36.8% saved)

series24.0ms (0.3%)

Error

0.0b

Counts

1 → 3

Calls

1 calls:

22.0ms

(*.f64 1/2 (*.f64 x x))

Compiler

Compiled 81 to 70 computations (13.6% saved)

simplify59.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5148	179

prune19.0ms (0.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	22	0	22
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	22	3	25

Error

0.0b

Counts

25 → 3

Compiler

Compiled 272 to 183 computations (32.7% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log.f64 (-.f64 1 x)))
3.4b	(log.f64 (-.f64 1 (*.f64 x x)))
6.6b	(log.f64 (-.f64 1 x))
6.6b	(log.f64 (-.f64 1 x))

rewrite131.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

28×	`log-prod_binary64_505`
25×	`*-un-lft-identity_binary64_419`
23×	`add-sqr-sqrt_binary64_441`
12×	`pow1_binary64_480`
11×	`difference-of-squares_binary64_388`
10×	`log-div_binary64_506` `add-cube-cbrt_binary64_454`
8×	`log-pow_binary64_508`
7×	`distribute-lft-out--_binary64_371` `add-exp-log_binary64_457`
6×	`flip3--_binary64_423` `flip--_binary64_394` `associate--r+_binary64_355`
5×	`associate--l+_binary64_356`
4×	`add-log-exp_binary64_458` `add-cbrt-cube_binary64_455` `cancel-sign-sub-inv_binary64_385`
3×	`rem-log-exp_binary64_460`
2×	`associate--r-_binary64_358` `associate--l-_binary64_357`
1×	`diff-log_binary64_511` `sub-neg_binary64_412`

Counts

4 → 85

Calls

4 calls:

10.0ms	(-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log.f64 (-.f64 1 x)))
4.0ms	(log.f64 (-.f64 1 x))
4.0ms	(log.f64 (-.f64 1 x))
3.0ms	(log.f64 (-.f64 1 (*.f64 x x)))

Compiler

Compiled 2028 to 1439 computations (29% saved)

series179.0ms (2.2%)

Error

0.0b

Counts

4 → 27

Calls

4 calls:

55.0ms	(log.f64 (-.f64 1 (*.f64 x x)))
41.0ms	(-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log.f64 (-.f64 1 x)))
29.0ms	(log.f64 (-.f64 1 x))
27.0ms	(log.f64 (-.f64 1 x))

Compiler

Compiled 1249 to 1005 computations (19.5% saved)

simplify81.0ms (1%)

Algorithm

1×	egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5251	1580

prune122.0ms (1.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	111	1	112
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	112	3	115

Error

Counts

115 → 3

Compiler

Compiled 2349 to 1663 computations (29.2% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.3b	(log.f64 (-.f64 1 (pow.f64 x 3)))
3.4b	(log.f64 (-.f64 1 (*.f64 x x)))
6.6b	(log.f64 (-.f64 1 x))
6.6b	(log.f64 (+.f64 1 (+.f64 x (*.f64 x x))))

rewrite141.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

27×	`log-prod_binary64_505`
22×	`add-sqr-sqrt_binary64_441`
20×	`*-un-lft-identity_binary64_419`
12×	`difference-of-squares_binary64_388`
8×	`pow1_binary64_480` `log-div_binary64_506` `add-cube-cbrt_binary64_454` `add-exp-log_binary64_457`
4×	`log-pow_binary64_508` `rem-log-exp_binary64_460` `add-log-exp_binary64_458` `add-cbrt-cube_binary64_455`
3×	`flip3--_binary64_423` `flip--_binary64_394`
2×	`distribute-lft-out--_binary64_371` `unpow-prod-down_binary64_498` `cube-prod_binary64_447` `sqr-pow_binary64_391`
1×	`flip3-+_binary64_422` `flip-+_binary64_393` `distribute-lft-out_binary64_370`

Counts

4 → 71

Calls

4 calls:

7.0ms	(log.f64 (-.f64 1 (pow.f64 x 3)))
5.0ms	(log.f64 (+.f64 1 (+.f64 x (*.f64 x x))))
4.0ms	(log.f64 (-.f64 1 x))
3.0ms	(log.f64 (-.f64 1 (*.f64 x x)))

Compiler

Compiled 2494 to 1634 computations (34.5% saved)

series334.0ms (4.1%)

Error

Counts

4 → 27

Calls

4 calls:

171.0ms	(log.f64 (-.f64 1 (pow.f64 x 3)))
59.0ms	(log.f64 (-.f64 1 (*.f64 x x)))
35.0ms	(log.f64 (+.f64 1 (+.f64 x (*.f64 x x))))
33.0ms	(log.f64 (-.f64 1 x))

Compiler

Compiled 1986 to 1492 computations (24.9% saved)

simplify94.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4919	1424
1	4919	1424

prune154.0ms (1.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	98	0	98
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	98	3	101

Error

Counts

101 → 3

Compiler

Compiled 3149 to 2076 computations (34.1% saved)

regimes86.0ms (1.1%)

Accuracy

Total 0.5b remaining (92.1%)

Threshold costs 0.5b (92.1%)

Compiler

Compiled 790 to 662 computations (16.2% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	53	13
1	53	13

end0.0ms (0%)

sample4.7s (57.5%)

Algorithm

1×

intervals

Results

2.5s	3972×	body	1024	valid
634.0ms	2008×	body	512	valid
368.0ms	428×	body	2048	valid
167.0ms	987×	body	256	valid
145.0ms	8000×	pre	128	true
41.0ms	605×	body	128	valid

Compiler

Compiled 412 to 343 computations (16.7% saved)

Details

analyze1.4s (17.6%)

sample141.0ms (1.7%)

simplify8.0ms (0.1%)

prune2.0ms (0%)

localize7.0ms (0.1%)

rewrite98.0ms (1.2%)

series122.0ms (1.5%)

simplify105.0ms (1.3%)

prune87.0ms (1.1%)

localize5.0ms (0.1%)

rewrite20.0ms (0.2%)

series24.0ms (0.3%)

simplify59.0ms (0.7%)

prune19.0ms (0.2%)

localize9.0ms (0.1%)

rewrite131.0ms (1.6%)

series179.0ms (2.2%)

simplify81.0ms (1%)

prune122.0ms (1.5%)

localize19.0ms (0.2%)

rewrite141.0ms (1.7%)

series334.0ms (4.1%)

simplify94.0ms (1.1%)

prune154.0ms (1.9%)

regimes86.0ms (1.1%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample4.7s (57.5%)

Profiling