Details

analyze160.0ms (4.4%)

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)

sample35.0ms (1%)

Algorithm

1×

intervals

Results

9.0ms	39×	body	256	valid
9.0ms	64×	body	512	valid
7.0ms	139×	body	128	valid
2.0ms	14×	body	1024	valid

Compiler

Compiled 19 to 18 computations (5.3% saved)

simplify18.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (9.0ms)

Iter	Nodes	Cost
0	73	13
1	73	13

prune4.0ms (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

Error

15.9b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize11.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 1 (+.f64 x 1))
3.5b	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))

rewrite54.0ms (1.5%)

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:

34.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))
10.0ms	(/.f64 1 (+.f64 x 1))

series104.0ms (2.8%)

Counts

2 → 24

Calls

2 calls:

55.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))
48.0ms	(/.f64 1 (+.f64 x 1))

Compiler

Compiled 304 to 263 computations (13.5% saved)

simplify178.0ms (4.9%)

Algorithm

1×	egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (143.0ms)

Iter	Nodes	Cost
0	4929	1503
1	4929	1503

prune170.0ms (4.6%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	101	4	105
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	102	4	106

Error

0.0b

Counts

106 → 4

Compiler

Compiled 1530 to 1201 computations (21.5% saved)

localize8.0ms (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)))

rewrite26.0ms (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:

11.0ms	(/.f64 -1 (*.f64 x (+.f64 1 x)))
11.0ms	(*.f64 x (+.f64 1 x))

series108.0ms (3%)

Counts

2 → 18

Calls

2 calls:

59.0ms	(*.f64 x (+.f64 1 x))
49.0ms	(/.f64 -1 (*.f64 x (+.f64 1 x)))

Compiler

Compiled 193 to 172 computations (10.9% saved)

simplify105.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	5056	703

prune96.0ms (2.6%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	60	4	64
Fresh	3	0	3
Picked	1	0	1
Done	0	0	0
Total	64	4	68

Error

0.0b

Counts

68 → 4

Compiler

Compiled 731 to 533 computations (27.1% saved)

localize9.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite28.0ms (0.8%)

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:

14.0ms

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

series53.0ms (1.5%)

Counts

1 → 12

Calls

1 calls:

53.0ms

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

Compiler

Compiled 138 to 123 computations (10.9% saved)

simplify163.0ms (4.4%)

Algorithm

1×	egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (120.0ms)

Iter	Nodes	Cost
0	4909	2004
1	4909	2004

prune162.0ms (4.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	96	2	98
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	96	6	102

Error

Counts

102 → 6

Compiler

Compiled 1603 to 1146 computations (28.5% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite19.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`*-un-lft-identity_binary64_78`
15×	`times-frac_binary64_84`
12×	`add-sqr-sqrt_binary64_100` `add-cube-cbrt_binary64_113`
5×	`distribute-rgt-out_binary64_31` `associate-/r*_binary64_22` `distribute-rgt1-in_binary64_34`
4×	`add-cbrt-cube_binary64_114` `add-log-exp_binary64_117` `add-exp-log_binary64_116`
3×	`associate-/l*_binary64_23`
2×	`flip-+_binary64_52` `associate-/r/_binary64_24` `pow1_binary64_139` `flip3-+_binary64_81`
1×	`+-commutative_binary64_8` `cbrt-undiv_binary64_112` `div-exp_binary64_129` `frac-2neg_binary64_89` `div-inv_binary64_75` `clear-num_binary64_77` `sum-log_binary64_169`

Counts

2 → 50

Calls

2 calls:

9.0ms	(/.f64 -1 (+.f64 x (*.f64 x x)))
5.0ms	(+.f64 x (*.f64 x x))

series124.0ms (3.4%)

Counts

2 → 18

Calls

2 calls:

63.0ms	(+.f64 x (*.f64 x x))
60.0ms	(/.f64 -1 (+.f64 x (*.f64 x x)))

Compiler

Compiled 193 to 172 computations (10.9% saved)

simplify102.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	5158	966

prune83.0ms (2.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	68	6	74

Error

Counts

74 → 6

Compiler

Compiled 827 to 428 computations (48.2% saved)

regimes148.0ms (4.1%)

Accuracy

Total 0.1b remaining (93.7%)

Threshold costs 0.1b (93.7%)

Compiler

Compiled 734 to 602 computations (18% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	10
1	9	10

end0.0ms (0%)

sample1.7s (45.9%)

Algorithm

1×

intervals

Results

279.0ms	2001×	body	512	valid
244.0ms	4542×	body	128	valid
96.0ms	1010×	body	256	valid
86.0ms	447×	body	1024	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 374 to 308 computations (17.6% saved)

Details

analyze160.0ms (4.4%)

sample35.0ms (1%)

simplify18.0ms (0.5%)

prune4.0ms (0.1%)

localize11.0ms (0.3%)

rewrite54.0ms (1.5%)

series104.0ms (2.8%)

simplify178.0ms (4.9%)

prune170.0ms (4.6%)

localize8.0ms (0.2%)

rewrite26.0ms (0.7%)

series108.0ms (3%)

simplify105.0ms (2.9%)

prune96.0ms (2.6%)

localize9.0ms (0.2%)

rewrite28.0ms (0.8%)

series53.0ms (1.5%)

simplify163.0ms (4.4%)

prune162.0ms (4.4%)

localize8.0ms (0.2%)

rewrite19.0ms (0.5%)

series124.0ms (3.4%)

simplify102.0ms (2.8%)

prune83.0ms (2.3%)

regimes148.0ms (4.1%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.7s (45.9%)

Profiling