Details

analyze415.0ms (5.7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4005	15
1	4005	15
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	50%	50%	3
25%	25%	50%	4
37.5%	12.5%	50%	5
43.7%	6.2%	50%	6
46.9%	3.1%	50%	7
48.4%	1.6%	50%	8
49.2%	0.8%	50%	9
49.6%	0.4%	50%	10
49.8%	0.2%	50%	11
49.9%	0.1%	50%	12
49.9%	0%	50%	13
49.9%	0%	50%	14

Compiler

Compiled 13 to 12 computations (7.7% saved)

sample99.0ms (1.4%)

Algorithm

1×

intervals

Results

60.0ms	135×	body	1024	valid
13.0ms	59×	body	512	valid
7.0ms	11×	body	2048	valid
6.0ms	40×	body	256	valid
1.0ms	11×	body	128	valid

Compiler

Compiled 25 to 24 computations (4% saved)

simplify280.0ms (3.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (275.0ms)

Iter	Nodes	Cost
0	4005	15
1	4005	15

prune6.0ms (0.1%)

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

59.8b

Counts

2 → 1

Compiler

Compiled 20 to 18 computations (10% saved)

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (+.f64 1 x) (-.f64 1 x))
5.7b	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))

rewrite152.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

59.7b

Rules

78×	`*-un-lft-identity_binary64_760`
52×	`add-sqr-sqrt_binary64_782`
48×	`times-frac_binary64_766`
30×	`log-prod_binary64_846`
25×	`add-cube-cbrt_binary64_795`
18×	`difference-of-squares_binary64_729`
13×	`distribute-lft-out_binary64_711`
9×	`distribute-lft-out--_binary64_712`
7×	`add-exp-log_binary64_798`
6×	`associate-/r*_binary64_704`
4×	`associate-/r/_binary64_706` `add-cbrt-cube_binary64_796` `associate-/l*_binary64_705`
3×	`pow1_binary64_821`
2×	`div-inv_binary64_757` `flip3--_binary64_764` `flip--_binary64_735` `div-exp_binary64_811` `rem-log-exp_binary64_801` `add-log-exp_binary64_799` `associate-/l/_binary64_707`
1×	`log-pow_binary64_849` `log-div_binary64_847` `cbrt-undiv_binary64_794` `frac-2neg_binary64_771` `clear-num_binary64_759` `flip3-+_binary64_763` `flip-+_binary64_734`

Counts

2 → 91

Calls

2 calls:

14.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
9.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))

Compiler

Compiled 1776 to 1426 computations (19.7% saved)

series87.0ms (1.2%)

Error

0.0b

Counts

2 → 14

Calls

2 calls:

52.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
21.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))

Compiler

Compiled 338 to 315 computations (6.8% saved)

simplify111.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (87.0ms)

Iter	Nodes	Cost
0	5617	1927

prune132.0ms (1.8%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	103	2	105
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	104	2	106

Error

Counts

106 → 2

Compiler

Compiled 1778 to 1411 computations (20.6% saved)

localize20.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.1b	(*.f64 2/5 (pow.f64 x 5))
0.1b	(*.f64 2/3 (pow.f64 x 3))

rewrite124.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

21×	`add-sqr-sqrt_binary64_782`
19×	`associate-r_binary64_700`
12×	`add-exp-log_binary64_798`
9×	`add-cube-cbrt_binary64_795` `*-un-lft-identity_binary64_760`
8×	`unpow-prod-down_binary64_839`
7×	`unswap-sqr_binary64_728`
6×	`prod-exp_binary64_809` `add-cbrt-cube_binary64_796` `associate-l_binary64_701`
4×	`cube-prod_binary64_788` `sqr-pow_binary64_732`
2×	`pow1_binary64_821` `pow-to-exp_binary64_829` `pow-exp_binary64_828` `add-log-exp_binary64_799` `cbrt-unprod_binary64_793` `*-commutative_binary64_691`
1×	`unpow3_binary64_826` `cube-mult_binary64_790`

Counts

2 → 56

Calls

2 calls:

12.0ms	(*.f64 2/3 (pow.f64 x 3))
8.0ms	(*.f64 2/5 (pow.f64 x 5))

Compiler

Compiled 1299 to 954 computations (26.6% saved)

series93.0ms (1.3%)

Error

Counts

2 → 6

Calls

2 calls:

49.0ms	(*.f64 2/5 (pow.f64 x 5))
36.0ms	(*.f64 2/3 (pow.f64 x 3))

Compiler

Compiled 306 to 242 computations (20.9% saved)

simplify80.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5185	578

prune106.0ms (1.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	62	0	62
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	62	2	64

Error

Counts

64 → 2

Compiler

Compiled 1327 to 954 computations (28.1% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (+.f64 x 1) (-.f64 1 x))
0.0b	(/.f64 (+.f64 x 1) (-.f64 1 x))
5.8b	(log.f64 (sqrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))
5.8b	(log.f64 (sqrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))

rewrite521.0ms (7.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

158×	`*-un-lft-identity_binary64_760`
106×	`add-sqr-sqrt_binary64_782`
96×	`times-frac_binary64_766`
66×	`log-prod_binary64_846`
60×	`sqrt-prod_binary64_776`
52×	`add-cube-cbrt_binary64_795`
36×	`difference-of-squares_binary64_729`
26×	`distribute-lft-out_binary64_711`
18×	`distribute-lft-out--_binary64_712`
12×	`associate-/r*_binary64_704`
10×	`add-exp-log_binary64_798`
8×	`pow1_binary64_821` `associate-/r/_binary64_706` `add-cbrt-cube_binary64_796` `associate-/l*_binary64_705`
6×	`log-pow_binary64_849`
4×	`div-inv_binary64_757` `flip3--_binary64_764` `flip--_binary64_735` `add-log-exp_binary64_799` `associate-/l/_binary64_707`
2×	`pow1/2_binary64_840` `sqrt-pow1_binary64_778` `sqrt-div_binary64_777` `log-div_binary64_847` `rem-log-exp_binary64_801` `div-exp_binary64_811` `cbrt-undiv_binary64_794` `frac-2neg_binary64_771` `clear-num_binary64_759` `flip3-+_binary64_763` `flip-+_binary64_734`

Counts

4 → 190

Calls

4 calls:

17.0ms	(/.f64 (+.f64 x 1) (-.f64 1 x))
17.0ms	(/.f64 (+.f64 x 1) (-.f64 1 x))
13.0ms	(log.f64 (sqrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))
10.0ms	(log.f64 (sqrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))

Compiler

Compiled 5874 to 4763 computations (18.9% saved)

series194.0ms (2.7%)

Error

Counts

4 → 28

Calls

4 calls:

52.0ms	(log.f64 (sqrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))
48.0ms	(log.f64 (sqrt.f64 (/.f64 (+.f64 x 1) (-.f64 1 x))))
31.0ms	(/.f64 (+.f64 x 1) (-.f64 1 x))
27.0ms	(/.f64 (+.f64 x 1) (-.f64 1 x))

Compiler

Compiled 1344 to 1169 computations (13% saved)

simplify94.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

218 → 218

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5021	4364

prune484.0ms (6.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	218	0	218
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	218	2	220

Error

Counts

220 → 2

Compiler

Compiled 6090 to 4907 computations (19.4% saved)

regimes228.0ms (3.2%)

Accuracy

Total 0.2b remaining (96.1%)

Threshold costs 0.2b (96.1%)

Compiler

Compiled 2113 to 1815 computations (14.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	25
1	22	25

end0.0ms (0%)

sample4.0s (55%)

Algorithm

1×

intervals

Results

1.9s	4032×	body	1024	valid
544.0ms	1978×	body	512	valid
267.0ms	379×	body	2048	valid
161.0ms	1008×	body	256	valid
48.0ms	603×	body	128	valid

Compiler

Compiled 513 to 442 computations (13.8% saved)

Details

analyze415.0ms (5.7%)

sample99.0ms (1.4%)

simplify280.0ms (3.9%)

prune6.0ms (0.1%)

localize12.0ms (0.2%)

rewrite152.0ms (2.1%)

series87.0ms (1.2%)

simplify111.0ms (1.5%)

prune132.0ms (1.8%)

localize20.0ms (0.3%)

rewrite124.0ms (1.7%)

series93.0ms (1.3%)

simplify80.0ms (1.1%)

prune106.0ms (1.5%)

localize8.0ms (0.1%)

rewrite521.0ms (7.2%)

series194.0ms (2.7%)

simplify94.0ms (1.3%)

prune484.0ms (6.7%)

regimes228.0ms (3.2%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample4.0s (55%)

Profiling