Details

analyze4.0ms (0.4%)

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 9 to 8 computations (11.1% saved)

sample83.0ms (8.8%)

Algorithm

1×

intervals

Results

51.0ms	119×	body	1280	valid
19.0ms	75×	body	640	valid
5.0ms	35×	body	320	valid
2.0ms	22×	body	160	valid
0.0ms	5×	body	80	valid

Compiler

Compiled 17 to 16 computations (5.9% saved)

simplify226.0ms (24%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (216.0ms)

Iter	Nodes	Cost
0	4907	12
1	4907	12

prune3.0ms (0.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Merged error: 58.9b

Counts

2 → 1

Compiler

Compiled 16 to 14 computations (12.5% saved)

localize9.0ms (0.9%)

Local error

Found 2 expressions with local error:

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

rewrite20.0ms (2.2%)

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-/l*_binary64`
4×	`associate-/r*_binary64` `add-cbrt-cube_binary64` `associate-/r/_binary64`
3×	`pow1_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `add-log-exp_binary64` `rem-log-exp_binary64` `div-inv_binary64` `div-exp_binary64` `flip-+_binary64`
1×	`flip3--_binary64` `cbrt-undiv_binary64` `log-pow_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `log-div_binary64` `flip--_binary64`

Counts

2 → 92

Calls

2 calls:

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

series8.0ms (0.9%)

Counts

2 → 6

Calls

2 calls:

5.0ms	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
3.0ms	(/.f64 (-.f64 1 eps) (+.f64 1 eps))

simplify90.0ms (9.6%)

Algorithm

1×	egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	5417	1892

prune90.0ms (9.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	95	3	98
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	96	3	99

Merged error: 0.0b

Counts

99 → 3

Compiler

Compiled 1562 to 1204 computations (22.9% saved)

localize9.0ms (1%)

Local error

Found 2 expressions with local error:

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

rewrite15.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`add-sqr-sqrt_binary64`
19×	`associate-l_binary64`
12×	`add-exp-log_binary64`
9×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
8×	`unpow-prod-down_binary64`
7×	`unswap-sqr_binary64`
6×	`associate-r_binary64` `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:

7.0ms	(*.f64 (pow.f64 eps 5) -2/5)
6.0ms	(*.f64 (pow.f64 eps 3) 2/3)

series9.0ms (1%)

Counts

2 → 6

Calls

2 calls:

5.0ms	(*.f64 (pow.f64 eps 5) -2/5)
4.0ms	(*.f64 (pow.f64 eps 3) 2/3)

simplify100.0ms (10.7%)

Algorithm

1×	egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	4875	595
1	4875	595

prune54.0ms (5.7%)

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: 0.0b

Counts

65 → 3

Compiler

Compiled 1246 to 990 computations (20.5% saved)

localize8.0ms (0.9%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (-.f64 1 eps))
0.0b	(/.f64 (sqrt.f64 (-.f64 1 eps)) (+.f64 1 eps))
6.6b	(log.f64 (/.f64 (sqrt.f64 (-.f64 1 eps)) (+.f64 1 eps)))
6.7b	(log.f64 (sqrt.f64 (-.f64 1 eps)))

rewrite36.0ms (3.9%)

Algorithm

1×	rewrite-expression-head

Rules

116×	`*-un-lft-identity_binary64`
79×	`add-sqr-sqrt_binary64`
72×	`times-frac_binary64`
66×	`sqrt-prod_binary64`
51×	`log-prod_binary64`
45×	`add-cube-cbrt_binary64`
22×	`difference-of-squares_binary64`
19×	`distribute-lft-out_binary64`
11×	`distribute-lft-out--_binary64`
10×	`add-exp-log_binary64`
9×	`associate-/l*_binary64`
8×	`pow1_binary64`
6×	`add-cbrt-cube_binary64` `sqrt-div_binary64`
4×	`associate-/r*_binary64` `add-log-exp_binary64` `log-pow_binary64` `associate-/r/_binary64`
3×	`flip3--_binary64` `rem-log-exp_binary64` `log-div_binary64` `flip--_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `pow1/2_binary64` `sqrt-pow1_binary64` `div-inv_binary64` `div-exp_binary64` `flip-+_binary64`
1×	`cbrt-undiv_binary64` `rem-sqrt-square_binary64` `clear-num_binary64` `frac-2neg_binary64`

Counts

4 → 158

Calls

4 calls:

9.0ms	(/.f64 (sqrt.f64 (-.f64 1 eps)) (+.f64 1 eps))
9.0ms	(log.f64 (/.f64 (sqrt.f64 (-.f64 1 eps)) (+.f64 1 eps)))
5.0ms	(log.f64 (sqrt.f64 (-.f64 1 eps)))
4.0ms	(sqrt.f64 (-.f64 1 eps))

series26.0ms (2.8%)

Counts

4 → 12

Calls

4 calls:

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

simplify119.0ms (12.6%)

Algorithm

1×	egg-herbie

Counts

170 → 170

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	4965	3693
1	4965	3693

Details

analyze4.0ms (0.4%)

sample83.0ms (8.8%)

simplify226.0ms (24%)

prune3.0ms (0.3%)

localize9.0ms (0.9%)

rewrite20.0ms (2.2%)

series8.0ms (0.9%)

simplify90.0ms (9.6%)

prune90.0ms (9.6%)

localize9.0ms (1%)

rewrite15.0ms (1.5%)

series9.0ms (1%)

simplify100.0ms (10.7%)

prune54.0ms (5.7%)

localize8.0ms (0.9%)

rewrite36.0ms (3.9%)

series26.0ms (2.8%)

simplify119.0ms (12.6%)

prune33.0ms (3.6%)

Profiling