Details

analyze5.0ms (0.5%)

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)

sample102.0ms (9.8%)

Algorithm

1×

intervals

Results

64.0ms	119×	body	1280	valid
22.0ms	75×	body	640	valid
6.0ms	35×	body	320	valid
2.0ms	22×	body	160	valid
0.0ms	5×	body	80	valid

Compiler

Compiled 25 to 24 computations (4% saved)

simplify331.0ms (31.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (267.0ms)

Iter	Nodes	Cost
0	4006	15
1	4006	15

prune4.0ms (0.3%)

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: 58.8b

Counts

2 → 1

Compiler

Compiled 20 to 18 computations (10% saved)

localize6.0ms (0.6%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (+.f64 1 x) (-.f64 1 x))
6.6b	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))

rewrite21.0ms (2.1%)

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` `flip--_binary64`
1×	`flip3-+_binary64` `cbrt-undiv_binary64` `log-pow_binary64` `clear-num_binary64` `frac-2neg_binary64` `log-div_binary64` `flip-+_binary64`

Counts

2 → 91

Calls

2 calls:

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

series10.0ms (0.9%)

Counts

2 → 6

Calls

2 calls:

7.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
3.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))

simplify97.0ms (9.3%)

Algorithm

1×	egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	5199	1898

prune105.0ms (10.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	94	3	97
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	95	3	98

Merged error: 0b

Counts

98 → 3

Compiler

Compiled 1756 to 1401 computations (20.2% saved)

localize10.0ms (1%)

Local error

Found 2 expressions with local error:

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

rewrite14.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`add-sqr-sqrt_binary64`
15×	`associate-l_binary64`
12×	`add-exp-log_binary64`
10×	`associate-r_binary64`
9×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
8×	`unpow-prod-down_binary64`
7×	`unswap-sqr_binary64`
6×	`add-cbrt-cube_binary64` `prod-exp_binary64`
4×	`sqr-pow_binary64` `cube-prod_binary64`
2×	`pow-to-exp_binary64` `add-log-exp_binary64` `pow1_binary64` `cbrt-unprod_binary64` `pow-exp_binary64` `*-commutative_binary64`
1×	`unpow3_binary64` `cube-mult_binary64`

Counts

2 → 56

Calls

2 calls:

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

series10.0ms (1%)

Counts

2 → 6

Calls

2 calls:

6.0ms	(*.f64 2/5 (pow.f64 x 5))
5.0ms	(*.f64 (pow.f64 x 3) 2/3)

simplify81.0ms (7.8%)

Algorithm

1×	egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4886	592
1	4886	592

prune55.0ms (5.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	62	0	62
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	62	3	65

Merged error: 0b

Counts

65 → 3

Compiler

Compiled 1363 to 988 computations (27.5% saved)

localize10.0ms (1%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (-.f64 1 x))
0.0b	(sqrt.f64 (-.f64 1 x))
6.7b	(log.f64 (/.f64 (+.f64 1 x) (sqrt.f64 (-.f64 1 x))))
6.7b	(log.f64 (sqrt.f64 (-.f64 1 x)))

rewrite29.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Rules

65×	`*-un-lft-identity_binary64`
51×	`log-prod_binary64`
49×	`add-sqr-sqrt_binary64`
42×	`sqrt-prod_binary64`
36×	`times-frac_binary64`
26×	`add-cube-cbrt_binary64`
14×	`difference-of-squares_binary64`
9×	`pow1_binary64` `distribute-lft-out_binary64`
8×	`add-exp-log_binary64` `sqrt-div_binary64`
7×	`distribute-lft-out--_binary64`
4×	`add-log-exp_binary64` `flip3--_binary64` `log-pow_binary64` `add-cbrt-cube_binary64` `flip--_binary64`
3×	`pow1/2_binary64` `rem-log-exp_binary64` `sqrt-pow1_binary64` `log-div_binary64`
2×	`associate-/r/_binary64` `rem-sqrt-square_binary64`
1×	`div-inv_binary64` `div-exp_binary64`

Counts

4 → 111

Calls

4 calls:

10.0ms	(log.f64 (/.f64 (+.f64 1 x) (sqrt.f64 (-.f64 1 x))))
5.0ms	(log.f64 (sqrt.f64 (-.f64 1 x)))
4.0ms	(sqrt.f64 (-.f64 1 x))
4.0ms	(sqrt.f64 (-.f64 1 x))

series27.0ms (2.6%)

Counts

4 → 12

Calls

4 calls:

9.0ms	(log.f64 (/.f64 (+.f64 1 x) (sqrt.f64 (-.f64 1 x))))
7.0ms	(log.f64 (sqrt.f64 (-.f64 1 x)))
6.0ms	(sqrt.f64 (-.f64 1 x))
4.0ms	(sqrt.f64 (-.f64 1 x))

simplify96.0ms (9.2%)

Algorithm

1×	egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4953	2482
1	4953	2482

Details

analyze5.0ms (0.5%)

sample102.0ms (9.8%)

simplify331.0ms (31.8%)

prune4.0ms (0.3%)

localize6.0ms (0.6%)

rewrite21.0ms (2.1%)

series10.0ms (0.9%)

simplify97.0ms (9.3%)

prune105.0ms (10.1%)

localize10.0ms (1%)

rewrite14.0ms (1.3%)

series10.0ms (1%)

simplify81.0ms (7.8%)

prune55.0ms (5.3%)

localize10.0ms (1%)

rewrite29.0ms (2.7%)

series27.0ms (2.6%)

simplify96.0ms (9.2%)

prune29.0ms (2.8%)

Profiling