Details

analyze5.0ms (0.3%)

Algorithm

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 (0.8%)

Algorithm

1×

intervals

Results

4.0ms	57×	body	512	valid
4.0ms	150×	body	128	valid
2.0ms	44×	body	256	valid
1.0ms	5×	body	1024	valid

Compiler

Compiled 19 to 18 computations (5.3% saved)

simplify168.0ms (8.9%)

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: 15.2b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize9.0ms (0.5%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 1 (+.f64 x 1))
4.9b	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))

rewrite36.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Rules

55×	`*-un-lft-identity_binary64_423`
46×	`add-sqr-sqrt_binary64_445`
45×	`times-frac_binary64_429`
22×	`add-cube-cbrt_binary64_458`
13×	`cancel-sign-sub-inv_binary64_389`
10×	`distribute-lft-out--_binary64_375`
9×	`difference-of-squares_binary64_392`
7×	`distribute-lft-out_binary64_374`
6×	`add-exp-log_binary64_461` `div-inv_binary64_420`
4×	`add-cbrt-cube_binary64_459` `add-log-exp_binary64_462` `associate-/r*_binary64_367`
3×	`pow1_binary64_484` `associate-/l*_binary64_368`
2×	`associate-/r/_binary64_369` `div-exp_binary64_474`
1×	`rec-exp_binary64_473` `1-exp_binary64_467` `sub-neg_binary64_416` `flip-+_binary64_397` `diff-log_binary64_515` `flip3--_binary64_427` `clear-num_binary64_422` `flip3-+_binary64_426` `frac-2neg_binary64_434` `pow-flip_binary64_497` `inv-pow_binary64_508` `flip--_binary64_398` `cbrt-undiv_binary64_457` `frac-sub_binary64_432`

Counts

2 → 81

Calls

2 calls:

23.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))
6.0ms	(/.f64 1 (+.f64 x 1))

series45.0ms (2.4%)

Counts

2 → 6

Calls

2 calls:

27.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))
18.0ms	(/.f64 1 (+.f64 x 1))

simplify85.0ms (4.5%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	6006	1244

prune220.0ms (11.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	85	2	87
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	85	3	88

Merged error: 0.0b

Counts

88 → 3

Compiler

Compiled 1470 to 1190 computations (19% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.2b	(/.f64 -1 (*.f64 x (+.f64 1 x)))

rewrite9.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-exp-log_binary64_461` `add-cbrt-cube_binary64_459`
3×	`-un-lft-identity_binary64_423` `times-frac_binary64_429` `add-cube-cbrt_binary64_458` `add-sqr-sqrt_binary64_445` `associate-/l_binary64_368`
2×	`associate-*r/_binary64_365` `associate-/r/_binary64_369` `cbrt-undiv_binary64_457` `div-exp_binary64_474`
1×	`flip-+_binary64_397` `prod-exp_binary64_472` `pow1_binary64_484` `clear-num_binary64_422` `flip3-+_binary64_426` `frac-2neg_binary64_434` `add-log-exp_binary64_462` `div-inv_binary64_420` `associate-/r*_binary64_367` `cbrt-unprod_binary64_456`

Counts

1 → 23

Calls

1 calls:

7.0ms

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

series25.0ms (1.3%)

Counts

1 → 3

Calls

1 calls:

25.0ms

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

simplify49.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5214	332

prune62.0ms (3.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	24	2	26
Fresh	1	0	1
Picked	0	1	1
Done	1	0	1
Total	26	3	29

Merged error: 0b

Counts

29 → 3

Compiler

Compiled 768 to 632 computations (17.7% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite18.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

97×	`times-frac_binary64_429`
78×	`*-un-lft-identity_binary64_423`
50×	`add-cube-cbrt_binary64_458` `add-sqr-sqrt_binary64_445`
14×	`distribute-lft-out_binary64_374`
13×	`associate-/l*_binary64_368`
6×	`add-exp-log_binary64_461` `add-cbrt-cube_binary64_459` `div-inv_binary64_420`
4×	`associate-/r*_binary64_367`
3×	`cbrt-undiv_binary64_457` `div-exp_binary64_474`
2×	`associate-/r/_binary64_369`
1×	`flip-+_binary64_397` `pow1_binary64_484` `associate-/l/_binary64_370` `clear-num_binary64_422` `flip3-+_binary64_426` `frac-2neg_binary64_434` `add-log-exp_binary64_462`

Counts

1 → 86

Calls

1 calls:

9.0ms

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

series24.0ms (1.3%)

Counts

1 → 3

Calls

1 calls:

24.0ms

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

simplify79.0ms (4.2%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4924	1864
1	4924	1864

prune82.0ms (4.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	89	0	89
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	89	3	92

Merged error: 0b

Counts

92 → 3

Compiler

Compiled 1439 to 1039 computations (27.8% saved)

localize12.0ms (0.6%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (.f64 x x) (.f64 1 x))
0.2b	(/.f64 -1 (+.f64 x (pow.f64 x 4)))
21.0b	(.f64 (/.f64 -1 (+.f64 x (pow.f64 x 4))) (+.f64 (.f64 1 1) (-.f64 (.f64 x x) (.f64 1 x))))

rewrite40.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`*-un-lft-identity_binary64_423`
26×	`add-sqr-sqrt_binary64_445`
25×	`times-frac_binary64_429`
21×	`add-cube-cbrt_binary64_458`
18×	`associate-l_binary64_364`
10×	`add-exp-log_binary64_461` `add-cbrt-cube_binary64_459`
8×	`distribute-lft-out_binary64_374`
5×	`pow1_binary64_484` `add-log-exp_binary64_462`
4×	`flip-+_binary64_397` `associate-/r/_binary64_369` `associate-r_binary64_363` `flip3-+_binary64_426` `associate-/r*_binary64_367`
3×	`associate-/l*_binary64_368`
2×	`frac-times_binary64_433` `prod-exp_binary64_472` `associate-*r/_binary64_365` `div-inv_binary64_420` `unswap-sqr_binary64_391` `cbrt-undiv_binary64_457` `div-exp_binary64_474` `cbrt-unprod_binary64_456`
1×	`pow-prod-down_binary64_494` `distribute-rgt-in_binary64_373` `sub-neg_binary64_416` `distribute-lft-in_binary64_372` `distribute-rgt-out--_binary64_377` `diff-log_binary64_515` `cancel-sign-sub-inv_binary64_389` `flip3--_binary64_427` `associate-l/_binary64_366` `-commutative_binary64_354` `clear-num_binary64_422` `frac-2neg_binary64_434` `flip--_binary64_398`

Counts

3 → 90

Calls

3 calls:

19.0ms	(.f64 (/.f64 -1 (+.f64 x (pow.f64 x 4))) (+.f64 (.f64 1 1) (-.f64 (.f64 x x) (.f64 1 x))))
7.0ms	(/.f64 -1 (+.f64 x (pow.f64 x 4)))
4.0ms	(-.f64 (.f64 x x) (.f64 1 x))

series179.0ms (9.5%)

Counts

3 → 9

Calls

3 calls:

75.0ms	(/.f64 -1 (+.f64 x (pow.f64 x 4)))
58.0ms	(-.f64 (.f64 x x) (.f64 1 x))
46.0ms	(.f64 (/.f64 -1 (+.f64 x (pow.f64 x 4))) (+.f64 (.f64 1 1) (-.f64 (.f64 x x) (.f64 1 x))))

simplify45.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	4989	1901
1	4989	1901

prune120.0ms (6.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	99	3	102

Merged error: 0b

Counts

102 → 3

Compiler

Compiled 2443 to 1609 computations (34.1% saved)

regimes9.0ms (0.5%)

Compiler: Compiled 35 to 29 computations (17.1% 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%)

sample539.0ms (28.5%)

Algorithm

1×

intervals

Results

147.0ms	1955×	body	512	valid
124.0ms	4578×	body	128	valid
53.0ms	1069×	body	256	valid
38.0ms	398×	body	1024	valid
0.0ms	3×	body	128	invalid

Compiler

Compiled 50 to 43 computations (14% saved)

Details

analyze5.0ms (0.3%)

sample15.0ms (0.8%)

simplify168.0ms (8.9%)

prune2.0ms (0.1%)

localize9.0ms (0.5%)

rewrite36.0ms (1.9%)

series45.0ms (2.4%)

simplify85.0ms (4.5%)

prune220.0ms (11.7%)

localize4.0ms (0.2%)

rewrite9.0ms (0.5%)

series25.0ms (1.3%)

simplify49.0ms (2.6%)

prune62.0ms (3.3%)

localize4.0ms (0.2%)

rewrite18.0ms (1%)

series24.0ms (1.3%)

simplify79.0ms (4.2%)

prune82.0ms (4.3%)

localize12.0ms (0.6%)

rewrite40.0ms (2.1%)

series179.0ms (9.5%)

simplify45.0ms (2.4%)

prune120.0ms (6.3%)

regimes9.0ms (0.5%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample539.0ms (28.5%)

Profiling