Details

analyze81.0ms (4.5%)

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)

sample15.0ms (0.8%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
0.0ms	18×	body	128	overflowed

Compiler

Compiled 17 to 15 computations (11.8% saved)

simplify101.0ms (5.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	8	13
1	8	13

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

Error

0.5b

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))
0.5b	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite14.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`*-un-lft-identity_binary64_2465`
12×	`times-frac_binary64_2471`
11×	`add-cube-cbrt_binary64_2500` `add-sqr-sqrt_binary64_2487`
5×	`distribute-lft-out_binary64_2416`
4×	`add-log-exp_binary64_2504` `associate-/r*_binary64_2409` `add-cbrt-cube_binary64_2501`
3×	`add-exp-log_binary64_2503` `associate-/l*_binary64_2410`
2×	`flip3-+_binary64_2468` `flip-+_binary64_2439` `pow1_binary64_2526` `associate-/r/_binary64_2411`
1×	`+-commutative_binary64_2395` `sum-log_binary64_2556` `clear-num_binary64_2464` `cbrt-undiv_binary64_2499` `div-exp_binary64_2516` `div-inv_binary64_2462` `frac-2neg_binary64_2476`

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))

series76.0ms (4.3%)

Counts

2 → 6

Calls

2 calls:

54.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
22.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

simplify67.0ms (3.8%)

Algorithm

1×	egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5701	899

prune39.0ms (2.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	48	3	51
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	49	3	52

Error

0.5b

Counts

52 → 3

Compiler

Compiled 756 to 172 computations (77.2% saved)

localize7.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (exp.f64 a) (exp.f64 b))
0.0b	(/.f64 1 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)))
0.5b	(/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a))

rewrite35.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Rules

108×	`times-frac_binary64_2471`
95×	`*-un-lft-identity_binary64_2465`
61×	`add-cube-cbrt_binary64_2500` `add-sqr-sqrt_binary64_2487`
19×	`associate-/r*_binary64_2409`
17×	`distribute-lft-out_binary64_2416`
12×	`add-exp-log_binary64_2503`
10×	`add-cbrt-cube_binary64_2501`
8×	`div-exp_binary64_2516`
7×	`associate-/l*_binary64_2410`
6×	`div-inv_binary64_2462`
5×	`add-log-exp_binary64_2504`
4×	`cbrt-undiv_binary64_2499` `pow1_binary64_2526`
2×	`flip3-+_binary64_2468` `associate-/l/_binary64_2412` `flip-+_binary64_2439` `rec-exp_binary64_2515` `clear-num_binary64_2464` `frac-2neg_binary64_2476` `1-exp_binary64_2509`
1×	`+-commutative_binary64_2395` `sum-log_binary64_2556` `inv-pow_binary64_2550` `pow-flip_binary64_2539` `associate-/r/_binary64_2411`

Counts

3 → 133

Calls

3 calls:

10.0ms	(/.f64 1 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)))
9.0ms	(/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a))
4.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

series116.0ms (6.5%)

Counts

3 → 9

Calls

3 calls:

51.0ms	(/.f64 1 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)))
45.0ms	(/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a))
20.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

simplify101.0ms (5.7%)

Algorithm

1×	egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4983	2989
1	4983	2989

prune104.0ms (5.9%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	141	1	142
Fresh	1	1	2
Picked	1	0	1
Done	0	0	0
Total	143	2	145

Error

Counts

145 → 2

Compiler

Compiled 2409 to 775 computations (67.8% saved)

localize6.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 -1 (exp.f64 (-.f64 b a)))
0.0b	(/.f64 -1 (-.f64 -1 (exp.f64 (-.f64 b a))))

rewrite23.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`*-un-lft-identity_binary64_2465` `add-sqr-sqrt_binary64_2487`
15×	`times-frac_binary64_2471`
14×	`add-cube-cbrt_binary64_2500`
10×	`cancel-sign-sub-inv_binary64_2431`
5×	`difference-of-squares_binary64_2434` `associate-/r*_binary64_2409` `distribute-lft-out--_binary64_2417`
4×	`add-log-exp_binary64_2504` `add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501` `exp-sum_binary64_2511`
3×	`associate-/l*_binary64_2410`
2×	`flip--_binary64_2440` `sub-neg_binary64_2458` `pow1_binary64_2526` `associate-/r/_binary64_2411` `flip3--_binary64_2469`
1×	`clear-num_binary64_2464` `cbrt-undiv_binary64_2499` `div-exp_binary64_2516` `div-inv_binary64_2462` `diff-log_binary64_2557` `frac-2neg_binary64_2476`

Counts

2 → 57

Calls

2 calls:

11.0ms	(/.f64 -1 (-.f64 -1 (exp.f64 (-.f64 b a))))
8.0ms	(-.f64 -1 (exp.f64 (-.f64 b a)))

series52.0ms (2.9%)

Counts

2 → 6

Calls

2 calls:

35.0ms	(/.f64 -1 (-.f64 -1 (exp.f64 (-.f64 b a))))
18.0ms	(-.f64 -1 (exp.f64 (-.f64 b a)))

simplify85.0ms (4.8%)

Algorithm

1×	egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4981	1058
1	4981	1058

prune49.0ms (2.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

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

Error

Counts

65 → 2

Compiler

Compiled 898 to 518 computations (42.3% saved)

localize6.0ms (0.3%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify6.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune0.0ms (0%)

Pruning

2 alts after pruning (0 fresh and 2 done)

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

Error

Counts

2 → 2

Compiler

Compiled 0 to 0 computations (0% saved)

regimes129.0ms (7.2%)

Accuracy

Total 0.0b remaining (87.7%)

Threshold costs 0.0b (87.7%)

Compiler

Compiled 1377 to 791 computations (42.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	12
1	25	12

end0.0ms (0%)

sample658.0ms (36.9%)

Algorithm

1×

intervals

Results

250.0ms	8000×	body	128	valid
21.0ms	675×	body	128	overflowed

Compiler

Compiled 225 to 140 computations (37.8% saved)

Details

analyze81.0ms (4.5%)

sample15.0ms (0.8%)

simplify101.0ms (5.7%)

prune2.0ms (0.1%)

localize6.0ms (0.3%)

rewrite14.0ms (0.8%)

series76.0ms (4.3%)

simplify67.0ms (3.8%)

prune39.0ms (2.2%)

localize7.0ms (0.4%)

rewrite35.0ms (1.9%)

series116.0ms (6.5%)

simplify101.0ms (5.7%)

prune104.0ms (5.9%)

localize6.0ms (0.4%)

rewrite23.0ms (1.3%)

series52.0ms (2.9%)

simplify85.0ms (4.8%)

prune49.0ms (2.7%)

localize6.0ms (0.3%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify6.0ms (0.4%)

prune0.0ms (0%)

regimes129.0ms (7.2%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample658.0ms (36.9%)

Profiling