Details

analyze83.0ms (4.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
25%	74.9%	0.1%	3
62.4%	37.5%	0.1%	4
68.7%	31.2%	0.1%	5
68.7%	18.7%	12.6%	6
68.7%	18.7%	12.6%	7
68.7%	12.5%	18.8%	8
68.7%	12.5%	18.8%	9
68.7%	9.4%	22%	10
68.7%	9.4%	22%	11
68.7%	7.8%	23.5%	12
68.7%	7.8%	23.5%	13
68.7%	7%	24.3%	14

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample14.0ms (0.8%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	80	valid
1.0ms	27×	body	80	overflowed

Compiler

Compiled 17 to 15 computations (11.8% saved)

simplify12.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	8	13
1	8	13

prune4.0ms (0.2%)

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: 0.8b

Counts

2 → 1

Compiler

Compiled 16 to 12 computations (25% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (exp.f64 a) (exp.f64 b))
0.8b	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite13.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`*-un-lft-identity_binary64`
12×	`times-frac_binary64`
11×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
5×	`distribute-lft-out_binary64`
4×	`associate-/r*_binary64` `add-log-exp_binary64` `add-cbrt-cube_binary64`
3×	`add-exp-log_binary64` `associate-/l*_binary64`
2×	`flip3-+_binary64` `pow1_binary64` `associate-/r/_binary64` `flip-+_binary64`
1×	`cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

2 → 45

Calls

2 calls:

7.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
4.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

series18.0ms (0.9%)

Counts

2 → 6

Calls

2 calls:

13.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
5.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

simplify101.0ms (5.3%)

Algorithm

1×	egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	4963	899
1	4963	899

prune28.0ms (1.5%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	47	4	51
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	48	4	52

Merged error: 0.2b

Counts

52 → 4

Compiler

Compiled 769 to 179 computations (76.7% saved)

localize8.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
0.0b	(+.f64 (exp.f64 a) (exp.f64 b))
0.5b	(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
3.7b	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite27.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`*-un-lft-identity_binary64`
11×	`add-sqr-sqrt_binary64`
9×	`add-log-exp_binary64`
8×	`log-prod_binary64`
7×	`pow1_binary64` `add-cube-cbrt_binary64`
6×	`log-div_binary64` `exp-prod_binary64`
5×	`add-exp-log_binary64`
4×	`flip3-+_binary64` `associate--r+_binary64` `associate--r-_binary64` `add-cbrt-cube_binary64` `distribute-lft-out--_binary64` `flip-+_binary64`
3×	`distribute-lft-out_binary64` `log-pow_binary64` `exp-sum_binary64`
2×	`sub-neg_binary64` `diff-log_binary64` `rem-exp-log_binary64` `difference-of-squares_binary64`
1×	`flip3--_binary64` `rem-log-exp_binary64` `exp-diff_binary64` `+-commutative_binary64` `flip--_binary64` `sum-log_binary64`

Counts

4 → 66

Calls

4 calls:

8.0ms	(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
7.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
5.0ms	(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
5.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

series38.0ms (2%)

Counts

4 → 12

Calls

4 calls:

12.0ms	(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
11.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
9.0ms	(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
5.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

simplify109.0ms (5.7%)

Algorithm

1×	egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (89.0ms)

Iter	Nodes	Cost
0	4900	1203
1	4900	1203

prune39.0ms (2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	78	4	82

Merged error: 0.2b

Counts

82 → 4

Compiler

Compiled 1163 to 333 computations (71.4% saved)

localize8.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (exp.f64 a) (exp.f64 b))
0.0b	(+.f64 (exp.f64 a) (exp.f64 b))
0.5b	(/.f64 (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
1.0b	(/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))

rewrite100.0ms (5.3%)

Algorithm

1×	rewrite-expression-head

Rules

378×	`times-frac_binary64`
304×	`*-un-lft-identity_binary64`
224×	`sqrt-prod_binary64`
188×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
58×	`distribute-lft-out_binary64`
30×	`associate-/l*_binary64`
20×	`associate-/r/_binary64` `sqrt-div_binary64`
14×	`associate-/r*_binary64`
12×	`flip3-+_binary64` `flip-+_binary64`
11×	`add-cbrt-cube_binary64`
10×	`div-inv_binary64`
9×	`add-exp-log_binary64`
8×	`add-log-exp_binary64`
4×	`pow1_binary64` `cbrt-undiv_binary64` `div-exp_binary64`
2×	`clear-num_binary64` `frac-2neg_binary64` `+-commutative_binary64` `sum-log_binary64`
1×	`associate-/l/_binary64`

Counts

4 → 309

Calls

4 calls:

33.0ms	(/.f64 (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
14.0ms	(/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
11.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
8.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

series68.0ms (3.6%)

Counts

4 → 12

Calls

4 calls:

30.0ms	(/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
20.0ms	(/.f64 (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
9.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
9.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

simplify212.0ms (11.2%)

Algorithm

1×	egg-herbie

Counts

321 → 321

Iterations

Useful iterations: 0 (88.0ms)

Iter	Nodes	Cost
0	5148	11609

prune128.0ms (6.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	321	0	321
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	321	4	325

Merged error: 0.2b

Counts

325 → 4

Compiler

Compiled 8393 to 1135 computations (86.5% saved)

localize7.0ms (0.4%)

Local error

Found 1 expressions with local error:

0.0b	(/.f64 (exp.f64 a) (+.f64 a (+.f64 b 2)))

rewrite9.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`*-un-lft-identity_binary64`
15×	`times-frac_binary64`
12×	`distribute-lft-out_binary64`
11×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
5×	`associate-/r*_binary64`
3×	`add-cbrt-cube_binary64` `associate-/l*_binary64`
2×	`add-exp-log_binary64` `associate-/r/_binary64`
1×	`flip3-+_binary64` `add-log-exp_binary64` `pow1_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `flip-+_binary64`

Counts

1 → 37

Calls

1 calls:

8.0ms

(/.f64 (exp.f64 a) (+.f64 a (+.f64 b 2)))

series14.0ms (0.7%)

Counts

1 → 3

Calls

1 calls:

14.0ms

(/.f64 (exp.f64 a) (+.f64 a (+.f64 b 2)))

simplify75.0ms (4%)

Algorithm

1×	egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5168	714

prune23.0ms (1.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	40	0	40
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	40	4	44

Merged error: 0.2b

Counts

44 → 4

Compiler

Compiled 578 to 317 computations (45.2% saved)

regimes89.0ms (4.7%)

Compiler: Compiled 172 to 140 computations (18.6% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	15
1	20	15

end0.0ms (0%)

sample661.0ms (34.8%)

Algorithm

1×

intervals

Results

215.0ms	8000×	body	80	valid
15.0ms	653×	body	80	overflowed

Compiler

Compiled 66 to 55 computations (16.7% saved)

Details

analyze83.0ms (4.4%)

sample14.0ms (0.8%)

simplify12.0ms (0.7%)

prune4.0ms (0.2%)

localize6.0ms (0.3%)

rewrite13.0ms (0.7%)

series18.0ms (0.9%)

simplify101.0ms (5.3%)

prune28.0ms (1.5%)

localize8.0ms (0.4%)

rewrite27.0ms (1.4%)

series38.0ms (2%)

simplify109.0ms (5.7%)

prune39.0ms (2%)

localize8.0ms (0.4%)

rewrite100.0ms (5.3%)

series68.0ms (3.6%)

simplify212.0ms (11.2%)

prune128.0ms (6.7%)

localize7.0ms (0.4%)

rewrite9.0ms (0.5%)

series14.0ms (0.7%)

simplify75.0ms (4%)

prune23.0ms (1.2%)

regimes89.0ms (4.7%)

bsearch0.0ms (0%)

simplify3.0ms (0.2%)

end0.0ms (0%)

sample661.0ms (34.8%)

Profiling