Details

analyze118.0ms (3%)

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)

sample17.0ms (0.4%)

Algorithm

1×

intervals

Results

4.0ms	58×	body	512	valid
4.0ms	156×	body	128	valid
2.0ms	34×	body	256	valid
1.0ms	8×	body	1024	valid

Compiler

Compiled 19 to 18 computations (5.3% saved)

simplify10.0ms (0.2%)

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

Error

14.1b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 1 (+.f64 x 1))
2.9b	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))

rewrite144.0ms (3.6%)

Algorithm

1×	rewrite-expression-head

Error

13.3b

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×	`add-exp-log_binary64_116` `div-inv_binary64_75`
4×	`add-log-exp_binary64_117` `add-cbrt-cube_binary64_114` `associate-/r*_binary64_22`
3×	`pow1_binary64_139` `associate-/l*_binary64_23`
2×	`div-exp_binary64_129` `associate-/r/_binary64_24`
1×	`diff-log_binary64_170` `frac-sub_binary64_87` `flip3--_binary64_82` `sub-neg_binary64_71` `flip--_binary64_53` `inv-pow_binary64_163` `pow-flip_binary64_152` `1-exp_binary64_122` `rec-exp_binary64_128` `cbrt-undiv_binary64_112` `frac-2neg_binary64_89` `clear-num_binary64_77` `flip3-+_binary64_81` `flip-+_binary64_52`

Counts

2 → 81

Calls

2 calls:

25.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))
5.0ms	(/.f64 1 (+.f64 x 1))

Compiler

Compiled 1400 to 1135 computations (18.9% saved)

series97.0ms (2.4%)

Error

0.4b

Counts

2 → 21

Calls

2 calls:

34.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))
27.0ms	(/.f64 1 (+.f64 x 1))

Compiler

Compiled 556 to 464 computations (16.5% saved)

simplify124.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (95.0ms)

Iter	Nodes	Cost
0	5244	1460

prune115.0ms (2.9%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	99	3	102
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	100	3	103

Error

0.4b

Counts

103 → 3

Compiler

Compiled 1482 to 1159 computations (21.8% saved)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite61.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

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

Counts

2 → 50

Calls

2 calls:

5.0ms	(/.f64 -1 (+.f64 x (*.f64 x x)))
3.0ms	(+.f64 x (*.f64 x x))

Compiler

Compiled 723 to 310 computations (57.1% saved)

series93.0ms (2.3%)

Error

0.4b

Counts

2 → 17

Calls

2 calls:

38.0ms	(+.f64 x (*.f64 x x))
38.0ms	(/.f64 -1 (+.f64 x (*.f64 x x)))

Compiler

Compiled 354 to 301 computations (15% saved)

simplify62.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5101	950

prune76.0ms (1.9%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	64	3	67
Fresh	2	0	2
Picked	1	0	1
Done	0	0	0
Total	67	3	70

Error

0.0b

Counts

70 → 3

Compiler

Compiled 845 to 443 computations (47.6% saved)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 -1 (+.f64 x 1))
0.1b	(/.f64 (/.f64 -1 (+.f64 x 1)) x)

rewrite172.0ms (4.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

114×	`times-frac_binary64_84`
94×	`*-un-lft-identity_binary64_78`
62×	`add-cube-cbrt_binary64_113` `add-sqr-sqrt_binary64_100`
21×	`associate-/l*_binary64_23`
16×	`distribute-lft-out_binary64_29`
10×	`associate-/r/_binary64_24`
9×	`add-exp-log_binary64_116` `add-cbrt-cube_binary64_114`
7×	`associate-/r*_binary64_22`
6×	`div-inv_binary64_75`
5×	`flip3-+_binary64_81` `flip-+_binary64_52`
4×	`div-exp_binary64_129` `cbrt-undiv_binary64_112`
2×	`pow1_binary64_139` `add-log-exp_binary64_117` `frac-2neg_binary64_89` `clear-num_binary64_77`
1×	`associate-/l/_binary64_25`

Counts

2 → 123

Calls

2 calls:

10.0ms	(/.f64 (/.f64 -1 (+.f64 x 1)) x)
5.0ms	(/.f64 -1 (+.f64 x 1))

Compiler

Compiled 2112 to 1576 computations (25.4% saved)

series97.0ms (2.4%)

Error

0.0b

Counts

2 → 22

Calls

2 calls:

42.0ms	(/.f64 (/.f64 -1 (+.f64 x 1)) x)
38.0ms	(/.f64 -1 (+.f64 x 1))

Compiler

Compiled 536 to 438 computations (18.3% saved)

simplify94.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	5420	2643

prune151.0ms (3.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	144	1	145
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	144	4	148

Error

0.0b

Counts

148 → 4

Compiler

Compiled 2184 to 1568 computations (28.2% saved)

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite59.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

12×	`add-exp-log_binary64_116`
6×	`add-cbrt-cube_binary64_114`
4×	`pow1_binary64_139` `div-exp_binary64_129`
3×	`prod-exp_binary64_127` `add-cube-cbrt_binary64_113` `add-sqr-sqrt_binary64_100` `times-frac_binary64_84` `-un-lft-identity_binary64_78` `associate-/l_binary64_23`
2×	`pow-flip_binary64_152` `1-exp_binary64_122` `rec-exp_binary64_128` `cbrt-undiv_binary64_112` `associate-*r/_binary64_20` `associate-/r/_binary64_24`
1×	`inv-pow_binary64_163` `pow-prod-down_binary64_149` `add-log-exp_binary64_117` `cbrt-unprod_binary64_111` `frac-2neg_binary64_89` `clear-num_binary64_77` `div-inv_binary64_75` `flip3--_binary64_82` `flip--_binary64_53` `associate-/r*_binary64_22`

Counts

1 → 30

Calls

1 calls:

12.0ms

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

Compiler

Compiled 371 to 285 computations (23.2% saved)

series45.0ms (1.1%)

Error

0.0b

Counts

1 → 11

Calls

1 calls:

35.0ms

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

Compiler

Compiled 265 to 227 computations (14.3% saved)

simplify58.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5656	496

prune28.0ms (0.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	40	1	41
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	41	4	45

Error

0.0b

Counts

45 → 4

Compiler

Compiled 426 to 315 computations (26.1% saved)

regimes310.0ms (7.8%)

Accuracy

Total 0.1b remaining (90.1%)

Threshold costs 0.1b (90.1%)

Compiler

Compiled 2401 to 1837 computations (23.5% 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%)

sample2.0s (50.9%)

Algorithm

1×

intervals

Results

170.0ms	1936×	body	512	valid
151.0ms	4639×	body	128	valid
59.0ms	999×	body	256	valid
53.0ms	426×	body	1024	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 1179 to 901 computations (23.6% saved)

Details

analyze118.0ms (3%)

sample17.0ms (0.4%)

simplify10.0ms (0.2%)

prune2.0ms (0.1%)

localize5.0ms (0.1%)

rewrite144.0ms (3.6%)

series97.0ms (2.4%)

simplify124.0ms (3.1%)

prune115.0ms (2.9%)

localize4.0ms (0.1%)

rewrite61.0ms (1.5%)

series93.0ms (2.3%)

simplify62.0ms (1.6%)

prune76.0ms (1.9%)

localize4.0ms (0.1%)

rewrite172.0ms (4.3%)

series97.0ms (2.4%)

simplify94.0ms (2.4%)

prune151.0ms (3.8%)

localize8.0ms (0.2%)

rewrite59.0ms (1.5%)

series45.0ms (1.1%)

simplify58.0ms (1.4%)

prune28.0ms (0.7%)

regimes310.0ms (7.8%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample2.0s (50.9%)

Profiling