Details

analyze255.0ms (5.8%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5283	12
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

Symmetry

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample71.0ms (1.6%)

Algorithm

1×

intervals

Results

40.0ms	127×	body	1024	valid
12.0ms	70×	body	512	valid
5.0ms	10×	body	2048	valid
4.0ms	35×	body	256	valid
1.0ms	14×	body	128	valid

Compiler

Compiled 17 to 16 computations (5.9% saved)

simplify160.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (155.0ms)

Iter	Nodes	Cost
0	5283	12

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

58.8b

Counts

2 → 1

Compiler

Compiled 16 to 14 computations (12.5% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 1 eps) (+.f64 1 eps))
5.2b	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))

rewrite131.0ms (3%)

Algorithm

1×	rewrite-expression-head

Error

58.7b

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-/l*_binary64_705`
4×	`associate-/r/_binary64_706` `add-cbrt-cube_binary64_796` `associate-/r*_binary64_704`
3×	`pow1_binary64_821`
2×	`div-inv_binary64_757` `flip3-+_binary64_763` `flip-+_binary64_734` `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` `div-sub_binary64_765` `clear-num_binary64_759` `flip3--_binary64_764` `flip--_binary64_735`

Counts

2 → 92

Calls

2 calls:

8.0ms	(/.f64 (-.f64 1 eps) (+.f64 1 eps))
8.0ms	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))

Compiler

Compiled 1606 to 1253 computations (22% saved)

series74.0ms (1.7%)

Error

0.0b

Counts

2 → 14

Calls

2 calls:

41.0ms	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
22.0ms	(/.f64 (-.f64 1 eps) (+.f64 1 eps))

Compiler

Compiled 274 to 251 computations (8.4% saved)

simplify76.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5400	1921

prune89.0ms (2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	104	2	106
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	105	2	107

Error

0.0b

Counts

107 → 2

Compiler

Compiled 1548 to 1192 computations (23% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.1b	(*.f64 2/3 (pow.f64 eps 3))

rewrite36.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

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

Counts

1 → 31

Calls

1 calls:

7.0ms

(*.f64 2/3 (pow.f64 eps 3))

Compiler

Compiled 469 to 368 computations (21.5% saved)

series32.0ms (0.7%)

Error

0.0b

Counts

1 → 3

Calls

1 calls:

29.0ms

(*.f64 2/3 (pow.f64 eps 3))

Compiler

Compiled 81 to 70 computations (13.6% saved)

simplify85.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4924	305
1	4924	305

prune29.0ms (0.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	34	0	34
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	34	2	36

Error

0.0b

Counts

36 → 2

Compiler

Compiled 448 to 336 computations (25% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (log.f64 (-.f64 1 eps)) (log.f64 (+.f64 eps 1)))
5.3b	(log.f64 (-.f64 1 eps))
5.3b	(log.f64 (+.f64 eps 1))

rewrite87.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

22×	`*-un-lft-identity_binary64_760`
20×	`log-prod_binary64_846`
16×	`add-sqr-sqrt_binary64_782`
10×	`pow1_binary64_821`
8×	`log-div_binary64_847` `add-cube-cbrt_binary64_795`
7×	`log-pow_binary64_849`
6×	`distribute-lft-out--_binary64_712` `associate--l+_binary64_697`
5×	`add-exp-log_binary64_798` `difference-of-squares_binary64_729`
4×	`cancel-sign-sub-inv_binary64_726` `associate--r+_binary64_696`
3×	`add-log-exp_binary64_799` `add-cbrt-cube_binary64_796` `flip3--_binary64_764` `flip--_binary64_735`
2×	`flip3-+_binary64_763` `flip-+_binary64_734` `distribute-lft-out_binary64_711` `rem-log-exp_binary64_801` `associate--r-_binary64_699` `associate--l-_binary64_698`
1×	`diff-log_binary64_852` `sub-neg_binary64_753`

Counts

3 → 66

Calls

3 calls:

10.0ms	(-.f64 (log.f64 (-.f64 1 eps)) (log.f64 (+.f64 eps 1)))
3.0ms	(log.f64 (-.f64 1 eps))
3.0ms	(log.f64 (+.f64 eps 1))

Compiler

Compiled 1080 to 864 computations (20% saved)

series129.0ms (3%)

Error

0.0b

Counts

3 → 20

Calls

3 calls:

61.0ms	(-.f64 (log.f64 (-.f64 1 eps)) (log.f64 (+.f64 eps 1)))
27.0ms	(log.f64 (-.f64 1 eps))
26.0ms	(log.f64 (+.f64 eps 1))

Compiler

Compiled 602 to 509 computations (15.4% saved)

simplify67.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4878	1134
1	4878	1134

prune66.0ms (1.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	86	2	88

Error

0.0b

Counts

88 → 2

Compiler

Compiled 1181 to 921 computations (22% saved)

regimes154.0ms (3.5%)

Accuracy

Total 0.3b remaining (91.3%)

Threshold costs 0.3b (91.3%)

Compiler

Compiled 1664 to 1401 computations (15.8% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	68	15
1	68	15

Removed

()

end0.0ms (0%)

sample2.8s (64.3%)

Algorithm

1×

intervals

Results

1.3s	3994×	body	1024	valid
361.0ms	1972×	body	512	valid
203.0ms	419×	body	2048	valid
112.0ms	1037×	body	256	valid
27.0ms	578×	body	128	valid

Compiler

Compiled 527 to 445 computations (15.6% saved)

Details

analyze255.0ms (5.8%)

sample71.0ms (1.6%)

simplify160.0ms (3.6%)

prune2.0ms (0%)

localize5.0ms (0.1%)

rewrite131.0ms (3%)

series74.0ms (1.7%)

simplify76.0ms (1.7%)

prune89.0ms (2%)

localize5.0ms (0.1%)

rewrite36.0ms (0.8%)

series32.0ms (0.7%)

simplify85.0ms (1.9%)

prune29.0ms (0.7%)

localize7.0ms (0.1%)

rewrite87.0ms (2%)

series129.0ms (3%)

simplify67.0ms (1.5%)

prune66.0ms (1.5%)

regimes154.0ms (3.5%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample2.8s (64.3%)

Profiling