Details

analyze96.0ms (4.6%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	13
1	73	13
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
62.5%	37.5%	0%	4
81.2%	18.7%	0%	5
90.6%	9.4%	0%	6
95.3%	4.7%	0%	7
97.6%	2.3%	0%	8
98.8%	1.2%	0%	9
99.4%	0.6%	0%	10
99.7%	0.3%	0%	11
99.8%	0.1%	0%	12
99.9%	0.1%	0%	13
99.9%	0%	0%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample15.0ms (0.7%)

Algorithm

1×

intervals

Results

5.0ms	71×	body	512	valid
4.0ms	146×	body	128	valid
1.0ms	29×	body	256	valid
1.0ms	10×	body	1024	valid

Compiler

Compiled 19 to 18 computations (5.3% saved)

simplify10.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	73	13
1	73	13

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 14.2b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 1 (+.f64 x 1))
3.3b	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))

rewrite35.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

55×	`*-un-lft-identity_binary64_78`
46×	`add-sqr-sqrt_binary64_100`
45×	`times-frac_binary64_84`
22×	`add-cube-cbrt_binary64_113`
13×	`cancel-sign-sub-inv_binary64_44`
10×	`distribute-lft-out--_binary64_30`
9×	`difference-of-squares_binary64_47`
7×	`distribute-lft-out_binary64_29`
6×	`div-inv_binary64_75` `add-exp-log_binary64_116`
4×	`add-cbrt-cube_binary64_114` `add-log-exp_binary64_117` `associate-/r*_binary64_22`
3×	`associate-/l*_binary64_23` `pow1_binary64_139`
2×	`div-exp_binary64_129` `associate-/r/_binary64_24`
1×	`cbrt-undiv_binary64_112` `inv-pow_binary64_163` `flip-+_binary64_52` `frac-sub_binary64_87` `flip3--_binary64_82` `diff-log_binary64_170` `frac-2neg_binary64_89` `1-exp_binary64_122` `pow-flip_binary64_152` `flip--_binary64_53` `rec-exp_binary64_128` `clear-num_binary64_77` `sub-neg_binary64_71` `flip3-+_binary64_81`

Counts

2 → 81

Calls

2 calls:

24.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))
5.0ms	(/.f64 1 (+.f64 x 1))

series23.0ms (1.1%)

Counts

2 → 6

Calls

2 calls:

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

simplify97.0ms (4.6%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	5212	1244

prune82.0ms (3.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	84	3	87
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	84	4	88

Merged error: 0.0b

Counts

88 → 4

Compiler

Compiled 1301 to 1043 computations (19.8% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 x (+.f64 1 x))
0.4b	(/.f64 -1 (*.f64 x (+.f64 1 x)))

rewrite15.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-cbrt-cube_binary64_114` `add-exp-log_binary64_116`
8×	`add-sqr-sqrt_binary64_100` `*-un-lft-identity_binary64_78`
6×	`add-cube-cbrt_binary64_113`
4×	`associate-r_binary64_18` `associate-*r/_binary64_20` `pow1_binary64_139`
3×	`associate-l_binary64_19` `times-frac_binary64_84` `associate-/l*_binary64_23`
2×	`add-log-exp_binary64_117` `cbrt-unprod_binary64_111` `cbrt-undiv_binary64_112` `prod-exp_binary64_127` `div-exp_binary64_129` `flip-+_binary64_52` `associate-/r/_binary64_24` `flip3-+_binary64_81`
1×	`distribute-lft-in_binary64_27` `-commutative_binary64_9` `distribute-rgt-in_binary64_28` `frac-2neg_binary64_89` `div-inv_binary64_75` `associate-/r_binary64_22` `pow-prod-down_binary64_149` `unswap-sqr_binary64_46` `clear-num_binary64_77` `distribute-lft-out_binary64_29`

Counts

2 → 46

Calls

2 calls:

6.0ms	(*.f64 x (+.f64 1 x))
6.0ms	(/.f64 -1 (*.f64 x (+.f64 1 x)))

series38.0ms (1.8%)

Counts

2 → 6

Calls

2 calls:

26.0ms	(*.f64 x (+.f64 1 x))
12.0ms	(/.f64 -1 (*.f64 x (+.f64 1 x)))

simplify60.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5927	553

prune45.0ms (2.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	48	4	52
Fresh	2	0	2
Picked	0	1	1
Done	1	0	1
Total	51	5	56

Merged error: 0.0b

Counts

56 → 5

Compiler

Compiled 615 to 457 computations (25.7% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.1b	(/.f64 (/.f64 -1 x) (+.f64 1 x))

rewrite16.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

97×	`times-frac_binary64_84`
78×	`*-un-lft-identity_binary64_78`
50×	`add-sqr-sqrt_binary64_100` `add-cube-cbrt_binary64_113`
14×	`distribute-lft-out_binary64_29`
13×	`associate-/l*_binary64_23`
6×	`add-cbrt-cube_binary64_114` `div-inv_binary64_75` `add-exp-log_binary64_116`
4×	`associate-/r*_binary64_22`
3×	`cbrt-undiv_binary64_112` `div-exp_binary64_129`
2×	`associate-/r/_binary64_24`
1×	`add-log-exp_binary64_117` `flip-+_binary64_52` `frac-2neg_binary64_89` `clear-num_binary64_77` `associate-/l/_binary64_25` `pow1_binary64_139` `flip3-+_binary64_81`

Counts

1 → 86

Calls

1 calls:

8.0ms

(/.f64 (/.f64 -1 x) (+.f64 1 x))

series12.0ms (0.6%)

Counts

1 → 3

Calls

1 calls:

12.0ms

(/.f64 (/.f64 -1 x) (+.f64 1 x))

simplify121.0ms (5.8%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (98.0ms)

Iter	Nodes	Cost
0	4907	1866
1	4907	1866

prune83.0ms (4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	88	1	89
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	88	6	94

Merged error: 0b

Counts

94 → 6

Compiler

Compiled 1475 to 1065 computations (27.8% saved)

localize10.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

rewrite15.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_109`
23×	`add-sqr-sqrt_binary64_100`
15×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
11×	`pow1_binary64_139`
9×	`pow1/3_binary64_160`
6×	`associate-l_binary64_19` `swap-sqr_binary64_45` `associate-r_binary64_18` `add-exp-log_binary64_116`
4×	`add-cbrt-cube_binary64_114` `add-log-exp_binary64_117` `unswap-sqr_binary64_46`
2×	`pow-sqr_binary64_51` `pow-prod-up_binary64_148` `pow-prod-down_binary64_149`
1×	`pow2_binary64_159` `*-commutative_binary64_9` `cbrt-unprod_binary64_111` `prod-exp_binary64_127` `pow-plus_binary64_141`

Counts

4 → 73

Calls

4 calls:

6.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

series362.0ms (17.3%)

Counts

4 → 12

Calls

4 calls:

97.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
93.0ms	(cbrt.f64 x)
88.0ms	(cbrt.f64 x)
83.0ms	(cbrt.f64 x)

simplify65.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4892	563
1	4892	563

prune75.0ms (3.6%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	85	6	91

Merged error: 0b

Counts

91 → 6

Compiler

Compiled 1584 to 910 computations (42.6% saved)

regimes57.0ms (2.7%)

Compiler: Compiled 524 to 434 computations (17.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	10
1	9	10

end0.0ms (0%)

sample742.0ms (35.5%)

Algorithm

1×

intervals

Results

137.0ms	2043×	body	512	valid
113.0ms	4515×	body	128	valid
52.0ms	1037×	body	256	valid
43.0ms	405×	body	1024	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 269 to 224 computations (16.7% saved)

Details

analyze96.0ms (4.6%)

sample15.0ms (0.7%)

simplify10.0ms (0.5%)

prune2.0ms (0.1%)

localize5.0ms (0.2%)

rewrite35.0ms (1.7%)

series23.0ms (1.1%)

simplify97.0ms (4.6%)

prune82.0ms (3.9%)

localize4.0ms (0.2%)

rewrite15.0ms (0.7%)

series38.0ms (1.8%)

simplify60.0ms (2.8%)

prune45.0ms (2.1%)

localize5.0ms (0.2%)

rewrite16.0ms (0.7%)

series12.0ms (0.6%)

simplify121.0ms (5.8%)

prune83.0ms (4%)

localize10.0ms (0.5%)

rewrite15.0ms (0.7%)

series362.0ms (17.3%)

simplify65.0ms (3.1%)

prune75.0ms (3.6%)

regimes57.0ms (2.7%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample742.0ms (35.5%)

Profiling