Details

analyze5.0ms (0.1%)

Algorithm

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

Compiler

Compiled 13 to 12 computations (7.7% saved)

sample93.0ms (2%)

Algorithm

1×

intervals

Results

57.0ms	116×	body	1280	valid
20.0ms	72×	body	640	valid
7.0ms	38×	body	320	valid
2.0ms	21×	body	160	valid
1.0ms	9×	body	80	valid

Compiler

Compiled 25 to 24 computations (4% saved)

simplify43.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	451	15
1	451	15

prune6.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 58.6b

Counts

2 → 1

Compiler

Compiled 20 to 18 computations (10% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (+.f64 1 x) (-.f64 1 x))
7.0b	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))

rewrite25.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

78×	`*-un-lft-identity_binary64`
52×	`add-sqr-sqrt_binary64`
48×	`times-frac_binary64`
30×	`log-prod_binary64`
25×	`add-cube-cbrt_binary64`
18×	`difference-of-squares_binary64`
13×	`distribute-lft-out_binary64`
9×	`distribute-lft-out--_binary64`
7×	`add-exp-log_binary64`
6×	`associate-/r*_binary64`
4×	`add-cbrt-cube_binary64` `associate-/r/_binary64` `associate-/l*_binary64`
3×	`pow1_binary64`
2×	`associate-/l/_binary64` `add-log-exp_binary64` `flip3--_binary64` `rem-log-exp_binary64` `div-inv_binary64` `div-exp_binary64` `insert-posit16` `flip--_binary64`
1×	`flip3-+_binary64` `cbrt-undiv_binary64` `log-pow_binary64` `clear-num_binary64` `frac-2neg_binary64` `log-div_binary64` `flip-+_binary64`

Counts

2 → 93

Calls

2 calls:

10.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))
9.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))

series74.0ms (1.6%)

Counts

2 → 6

Calls

2 calls:

53.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
21.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))

simplify153.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (118.0ms)

Iter	Nodes	Cost
0	5290	1924

prune126.0ms (2.8%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	97	2	99
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	98	2	100

Merged error: 0.0b

Counts

100 → 2

Compiler

Compiled 1755 to 1399 computations (20.3% saved)

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 (pow.f64 x 3) 2/3) (.f64 2/5 (pow.f64 x 5)))
0.1b	(*.f64 2/5 (pow.f64 x 5))
0.1b	(*.f64 (pow.f64 x 3) 2/3)

rewrite23.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-sqr-sqrt_binary64`
15×	`associate-l_binary64`
13×	`add-exp-log_binary64`
10×	`-un-lft-identity_binary64` `associate-r*_binary64` `add-cube-cbrt_binary64`
8×	`unpow-prod-down_binary64`
7×	`add-cbrt-cube_binary64` `unswap-sqr_binary64`
6×	`prod-exp_binary64`
5×	`add-log-exp_binary64`
4×	`sqr-pow_binary64` `cube-prod_binary64`
3×	`pow1_binary64` `insert-posit16`
2×	`pow-to-exp_binary64` `cbrt-unprod_binary64` `pow-exp_binary64` `*-commutative_binary64`
1×	`flip3-+_binary64` `+-commutative_binary64` `flip-+_binary64` `unpow3_binary64` `sum-log_binary64` `cube-mult_binary64`

Counts

3 → 70

Calls

3 calls:

7.0ms	(*.f64 (pow.f64 x 3) 2/3)
7.0ms	(+.f64 (.f64 (pow.f64 x 3) 2/3) (.f64 2/5 (pow.f64 x 5)))
6.0ms	(*.f64 2/5 (pow.f64 x 5))

series304.0ms (6.6%)

Counts

3 → 9

Calls

3 calls:

180.0ms	(+.f64 (.f64 (pow.f64 x 3) 2/3) (.f64 2/5 (pow.f64 x 5)))
67.0ms	(*.f64 2/5 (pow.f64 x 5))
56.0ms	(*.f64 (pow.f64 x 3) 2/3)

simplify88.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4868	925
1	4868	925

prune94.0ms (2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	79	0	79
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	79	2	81

Merged error: 0.0b

Counts

81 → 2

Compiler

Compiled 1724 to 1252 computations (27.4% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 (*.f64 x x)))) (log.f64 (+.f64 1 x)))
0.0b	(/.f64 (+.f64 1 x) (-.f64 1 (*.f64 x x)))
7.1b	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 (*.f64 x x))))
7.1b	(log.f64 (+.f64 1 x))

rewrite49.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

90×	`*-un-lft-identity_binary64`
60×	`log-prod_binary64` `times-frac_binary64`
50×	`add-sqr-sqrt_binary64`
37×	`add-cube-cbrt_binary64`
26×	`associate-+l+_binary64` `difference-of-squares_binary64`
22×	`distribute-lft-out_binary64`
10×	`pow1_binary64` `add-exp-log_binary64`
6×	`log-pow_binary64` `add-cbrt-cube_binary64` `associate-/r/_binary64` `log-div_binary64`
5×	`associate-/r*_binary64`
4×	`flip3-+_binary64` `add-log-exp_binary64` `associate-/l*_binary64` `insert-posit16` `flip-+_binary64` `associate-+r+_binary64`
3×	`flip3--_binary64` `rem-log-exp_binary64` `div-inv_binary64` `flip--_binary64`
2×	`associate-/l/_binary64` `associate-+r-_binary64` `div-exp_binary64`
1×	`cbrt-undiv_binary64` `associate-+l-_binary64` `clear-num_binary64` `frac-2neg_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

4 → 149

Calls

4 calls:

17.0ms	(+.f64 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 (*.f64 x x)))) (log.f64 (+.f64 1 x)))
9.0ms	(/.f64 (+.f64 1 x) (-.f64 1 (*.f64 x x)))
8.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 (*.f64 x x))))
6.0ms	(log.f64 (+.f64 1 x))

series182.0ms (4%)

Counts

4 → 12

Calls

4 calls:

91.0ms	(+.f64 (log.f64 (/.f64 (+.f64 1 x) (-.f64 1 (*.f64 x x)))) (log.f64 (+.f64 1 x)))
39.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 (*.f64 x x))))
26.0ms	(/.f64 (+.f64 1 x) (-.f64 1 (*.f64 x x)))
25.0ms	(log.f64 (+.f64 1 x))

simplify144.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

161 → 161

Iterations

Useful iterations: 0 (102.0ms)

Iter	Nodes	Cost
0	4963	3358
1	4963	3358

prune204.0ms (4.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	161	0	161
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	161	2	163

Merged error: 0.0b

Counts

163 → 2

Compiler

Compiled 3908 to 2883 computations (26.2% saved)

regimes10.0ms (0.2%)

Compiler: Compiled 36 to 30 computations (16.7% saved)

bsearch0.0ms (0%)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	25
1	20	25

end0.0ms (0%)

sample2.9s (63.8%)

Algorithm

1×

intervals

Results

1.7s	3371×	body	1280	valid
719.0ms	2486×	body	640	valid
224.0ms	1277×	body	320	valid
74.0ms	658×	body	160	valid
11.0ms	208×	body	80	valid

Compiler

Compiled 64 to 55 computations (14.1% saved)

Details

analyze5.0ms (0.1%)

sample93.0ms (2%)

simplify43.0ms (0.9%)

prune6.0ms (0.1%)

localize7.0ms (0.1%)

rewrite25.0ms (0.5%)

series74.0ms (1.6%)

simplify153.0ms (3.3%)

prune126.0ms (2.8%)

localize11.0ms (0.2%)

rewrite23.0ms (0.5%)

series304.0ms (6.6%)

simplify88.0ms (1.9%)

prune94.0ms (2%)

localize10.0ms (0.2%)

rewrite49.0ms (1.1%)

series182.0ms (4%)

simplify144.0ms (3.2%)

prune204.0ms (4.5%)

regimes10.0ms (0.2%)

bsearch0.0ms (0%)

simplify6.0ms (0.1%)

end0.0ms (0%)

sample2.9s (63.8%)

Profiling