Details

analyze3.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	74.6%	25.4%	0
0%	74.6%	25.4%	1
37.3%	37.3%	25.4%	2
37.3%	18.7%	44%	3
46.7%	9.3%	44%	4
46.7%	4.7%	48.7%	5
49%	2.3%	48.7%	6
49%	1.2%	49.8%	7
49.6%	0.6%	49.8%	8
49.9%	0.3%	49.8%	9
49.9%	0.1%	50%	10
49.9%	0.1%	50.1%	11
49.9%	0%	50.1%	12
49.9%	0%	50.1%	13
49.9%	0%	50.1%	14

Compiler

Compiled 7 to 6 computations (14.3% saved)

sample36.0ms (1.7%)

Algorithm

1×

intervals

Results

19.0ms	136×	body	1024	valid
5.0ms	63×	body	512	valid
3.0ms	256×	pre	128	true
2.0ms	11×	body	2048	valid
1.0ms	22×	body	256	valid
1.0ms	24×	body	128	valid

Compiler

Compiled 11 to 11 computations (0% saved)

simplify8.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	9	6
1	9	6

prune2.0ms (0.1%)

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: 58.7b

Counts

2 → 1

Compiler

Compiled 8 to 8 computations (0% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

6.3b	(-.f64 (exp.f64 x) 1)

rewrite5.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`add-sqr-sqrt_binary64`
4×	`*-un-lft-identity_binary64`
3×	`add-log-exp_binary64`
2×	`difference-of-squares_binary64`
1×	`sub-neg_binary64` `pow1_binary64` `flip3--_binary64` `diff-log_binary64` `add-cube-cbrt_binary64` `difference-of-sqr-1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `distribute-lft-out--_binary64` `flip--_binary64`

Counts

1 → 15

Calls

1 calls:

4.0ms

(-.f64 (exp.f64 x) 1)

series17.0ms (0.8%)

Counts

1 → 3

Calls

1 calls:

17.0ms

(-.f64 (exp.f64 x) 1)

simplify97.0ms (4.6%)

Algorithm

1×	egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 0 (90.0ms)

Iter	Nodes	Cost
0	4892	196
1	4892	196

prune27.0ms (1.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	16	2	18
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	17	2	19

Merged error: 0b

Counts

19 → 2

Compiler

Compiled 171 to 109 computations (36.3% saved)

localize6.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(.f64 x (+.f64 1/2 (.f64 x 1/6)))
0.0b	(.f64 x (.f64 x (+.f64 1/2 (*.f64 x 1/6))))
0.3b	(*.f64 x 1/6)

rewrite21.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64`
9×	`associate-l_binary64`
8×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
7×	`associate-r_binary64`
6×	`associate-*r/_binary64`
5×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `prod-exp_binary64`
3×	`add-log-exp_binary64` `*-commutative_binary64`
2×	`flip3-+_binary64` `unswap-sqr_binary64` `flip-+_binary64`

Counts

3 → 64

Calls

3 calls:

7.0ms	(.f64 x (.f64 x (+.f64 1/2 (*.f64 x 1/6))))
6.0ms	(.f64 x (+.f64 1/2 (.f64 x 1/6)))
4.0ms	(*.f64 x 1/6)

series205.0ms (9.7%)

Counts

3 → 9

Calls

3 calls:

96.0ms	(.f64 x (.f64 x (+.f64 1/2 (*.f64 x 1/6))))
74.0ms	(.f64 x (+.f64 1/2 (.f64 x 1/6)))
34.0ms	(*.f64 x 1/6)

simplify67.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4974	823
1	4974	823

prune58.0ms (2.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	73	0	73
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	73	2	75

Merged error: 0b

Counts

75 → 2

Compiler

Compiled 1111 to 758 computations (31.8% saved)

localize5.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(log.f64 (-.f64 (exp.f64 x) 1))
0.2b	(exp.f64 (log.f64 (-.f64 (exp.f64 x) 1)))
6.3b	(-.f64 (exp.f64 x) 1)

rewrite18.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`add-sqr-sqrt_binary64`
15×	`*-un-lft-identity_binary64`
14×	`log-prod_binary64`
7×	`exp-sum_binary64`
6×	`add-cube-cbrt_binary64` `difference-of-squares_binary64`
5×	`add-log-exp_binary64` `pow1_binary64`
4×	`add-exp-log_binary64` `log-div_binary64` `exp-prod_binary64`
3×	`flip3--_binary64` `difference-of-sqr-1_binary64` `add-cbrt-cube_binary64` `distribute-lft-out--_binary64` `flip--_binary64`
2×	`log-pow_binary64` `exp-diff_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64`

Counts

3 → 54

Calls

3 calls:

6.0ms	(exp.f64 (log.f64 (-.f64 (exp.f64 x) 1)))
5.0ms	(log.f64 (-.f64 (exp.f64 x) 1))
4.0ms	(-.f64 (exp.f64 x) 1)

series253.0ms (11.9%)

Counts

3 → 9

Calls

3 calls:

137.0ms	(exp.f64 (log.f64 (-.f64 (exp.f64 x) 1)))
95.0ms	(log.f64 (-.f64 (exp.f64 x) 1))
20.0ms	(-.f64 (exp.f64 x) 1)

simplify78.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	5204	741

prune39.0ms (1.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	63	0	63
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	63	2	65

Merged error: 0b

Counts

65 → 2

Compiler

Compiled 647 to 435 computations (32.8% saved)

regimes21.0ms (1%)

Compiler: Compiled 65 to 56 computations (13.8% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	16
1	14	16

end0.0ms (0%)

sample1.2s (54.3%)

Algorithm

1×

intervals

Results

583.0ms	4100×	body	1024	valid
146.0ms	1953×	body	512	valid
94.0ms	8000×	pre	128	true
56.0ms	373×	body	2048	valid
46.0ms	997×	body	256	valid
14.0ms	577×	body	128	valid

Compiler

Compiled 48 to 39 computations (18.8% saved)

Details

analyze3.0ms (0.1%)

sample36.0ms (1.7%)

simplify8.0ms (0.4%)

prune2.0ms (0.1%)

localize3.0ms (0.1%)

rewrite5.0ms (0.2%)

series17.0ms (0.8%)

simplify97.0ms (4.6%)

prune27.0ms (1.3%)

localize6.0ms (0.3%)

rewrite21.0ms (1%)

series205.0ms (9.7%)

simplify67.0ms (3.1%)

prune58.0ms (2.7%)

localize5.0ms (0.2%)

rewrite18.0ms (0.9%)

series253.0ms (11.9%)

simplify78.0ms (3.7%)

prune39.0ms (1.9%)

regimes21.0ms (1%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.2s (54.3%)

Profiling