Details

analyze80.0ms (3.5%)

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 (0.7%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
0.0ms	20×	body	128	overflowed

Compiler

Compiled 17 to 15 computations (11.8% saved)

simplify99.0ms (4.4%)

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

Merged error: 0.5b

Counts

2 → 1

Compiler

Compiled 16 to 12 computations (25% saved)

localize6.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

rewrite10.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`*-un-lft-identity_binary64_2124`
12×	`times-frac_binary64_2130`
10×	`add-cube-cbrt_binary64_2159` `add-sqr-sqrt_binary64_2146`
4×	`distribute-lft-out_binary64_2075` `associate-/r*_binary64_2068`
3×	`associate-/l*_binary64_2069` `add-cbrt-cube_binary64_2160`
2×	`associate-/r/_binary64_2070` `add-exp-log_binary64_2162`
1×	`clear-num_binary64_2123` `cbrt-undiv_binary64_2158` `pow1_binary64_2185` `add-log-exp_binary64_2163` `flip3-+_binary64_2127` `flip-+_binary64_2098` `div-inv_binary64_2121` `div-exp_binary64_2175` `frac-2neg_binary64_2135`

Counts

1 → 33

Calls

1 calls:

7.0ms

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

series111.0ms (4.9%)

Counts

1 → 6

Calls

1 calls:

111.0ms

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

simplify64.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5664	795

prune34.0ms (1.5%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	35	4	39
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	36	4	40

Merged error: 0b

Counts

40 → 4

Compiler

Compiled 661 to 163 computations (75.3% saved)

localize8.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b	(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
0.9b	(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
2.8b	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite22.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`*-un-lft-identity_binary64_2124`
12×	`add-sqr-sqrt_binary64_2146`
8×	`cancel-sign-sub-inv_binary64_2090` `pow1_binary64_2185` `log-prod_binary64_2210` `add-cube-cbrt_binary64_2159`
7×	`exp-sum_binary64_2170`
6×	`add-log-exp_binary64_2163` `exp-prod_binary64_2176` `log-div_binary64_2211`
5×	`log-pow_binary64_2213`
4×	`distribute-lft-out--_binary64_2076` `associate--r+_binary64_2060` `associate--r-_binary64_2063` `add-exp-log_binary64_2162`
3×	`flip3-+_binary64_2127` `flip-+_binary64_2098` `add-cbrt-cube_binary64_2160`
2×	`difference-of-squares_binary64_2093` `distribute-lft-out_binary64_2075` `diff-log_binary64_2216` `rem-exp-log_binary64_2164` `sub-neg_binary64_2117`
1×	`flip--_binary64_2099` `flip3--_binary64_2128` `rem-log-exp_binary64_2165` `exp-diff_binary64_2172`

Counts

3 → 62

Calls

3 calls:

8.0ms	(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
6.0ms	(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
5.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

series328.0ms (14.6%)

Counts

3 → 18

Calls

3 calls:

130.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
113.0ms	(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
85.0ms	(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))

simplify103.0ms (4.6%)

Algorithm

1×	egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	4991	1300
1	4991	1300

prune55.0ms (2.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	79	1	80
Fresh	2	1	3
Picked	0	1	1
Done	0	0	0
Total	81	3	84

Merged error: 0b

Counts

84 → 3

Compiler

Compiled 1168 to 322 computations (72.4% saved)

localize11.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (exp.f64 b) 1)
0.0b	(/.f64 a (+.f64 (exp.f64 b) 1))
0.0b	(/.f64 1 (+.f64 (exp.f64 b) 1))
0.0b	(pow.f64 (+.f64 (exp.f64 b) 1) 2)

rewrite29.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

44×	`*-un-lft-identity_binary64_2124`
24×	`add-cube-cbrt_binary64_2159` `add-sqr-sqrt_binary64_2146` `times-frac_binary64_2130`
11×	`add-exp-log_binary64_2162`
10×	`distribute-lft-out_binary64_2075`
8×	`associate-/r*_binary64_2068` `add-cbrt-cube_binary64_2160`
6×	`associate-/l*_binary64_2069` `pow1_binary64_2185` `add-log-exp_binary64_2163`
4×	`associate-/r/_binary64_2070` `unpow-prod-down_binary64_2203`
3×	`pow-unpow_binary64_2201` `flip3-+_binary64_2127` `flip-+_binary64_2098` `div-exp_binary64_2175`
2×	`clear-num_binary64_2123` `cbrt-undiv_binary64_2158` `div-inv_binary64_2121` `frac-2neg_binary64_2135`
1×	`pow-pow_binary64_2196` `sum-log_binary64_2215` `pow-exp_binary64_2192` `sqr-pow_binary64_2096` `+-commutative_binary64_2054` `unpow2_binary64_2189` `pow-flip_binary64_2198` `pow-to-exp_binary64_2193` `1-exp_binary64_2168` `inv-pow_binary64_2209` `rec-exp_binary64_2174`

Counts

4 → 101

Calls

4 calls:

6.0ms	(/.f64 1 (+.f64 (exp.f64 b) 1))
6.0ms	(/.f64 a (+.f64 (exp.f64 b) 1))
5.0ms	(pow.f64 (+.f64 (exp.f64 b) 1) 2)
4.0ms	(+.f64 (exp.f64 b) 1)

series123.0ms (5.4%)

Counts

4 → 15

Calls

4 calls:

79.0ms	(/.f64 a (+.f64 (exp.f64 b) 1))
22.0ms	(/.f64 1 (+.f64 (exp.f64 b) 1))
16.0ms	(pow.f64 (+.f64 (exp.f64 b) 1) 2)
5.0ms	(+.f64 (exp.f64 b) 1)

simplify82.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4926	1379
1	4926	1379

prune144.0ms (6.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	116	0	116
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	116	3	119

Merged error: 0b

Counts

119 → 3

Compiler

Compiled 3067 to 2013 computations (34.4% saved)

localize10.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b	(exp.f64 (-.f64 a (+.f64 (log.f64 (+.f64 (exp.f64 a) 1)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
0.2b	(log.f64 (+.f64 (exp.f64 a) 1))

rewrite23.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`*-un-lft-identity_binary64_2124`
8×	`exp-sum_binary64_2170`
7×	`add-log-exp_binary64_2163` `add-sqr-sqrt_binary64_2146` `exp-prod_binary64_2176`
5×	`cancel-sign-sub-inv_binary64_2090` `distribute-lft-out_binary64_2075` `pow1_binary64_2185` `add-cube-cbrt_binary64_2159`
4×	`log-prod_binary64_2210` `log-div_binary64_2211`
3×	`distribute-lft-out--_binary64_2076` `log-pow_binary64_2213` `rem-exp-log_binary64_2164` `add-exp-log_binary64_2162`
2×	`associate-+l-_binary64_2059` `diff-log_binary64_2216` `associate--r-_binary64_2063` `flip3-+_binary64_2127` `flip-+_binary64_2098` `add-cbrt-cube_binary64_2160`
1×	`difference-of-squares_binary64_2093` `rem-log-exp_binary64_2165` `sum-log_binary64_2215` `exp-diff_binary64_2172` `sub-neg_binary64_2117`

Counts

2 → 41

Calls

2 calls:

16.0ms	(exp.f64 (-.f64 a (+.f64 (log.f64 (+.f64 (exp.f64 a) 1)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
4.0ms	(log.f64 (+.f64 (exp.f64 a) 1))

series95.0ms (4.2%)

Counts

2 → 9

Calls

2 calls:

54.0ms	(exp.f64 (-.f64 a (+.f64 (log.f64 (+.f64 (exp.f64 a) 1)) (/.f64 b (+.f64 (exp.f64 a) 1)))))
41.0ms	(log.f64 (+.f64 (exp.f64 a) 1))

simplify65.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4973	909
1	4973	909

prune50.0ms (2.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	50	0	50
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	50	3	53

Merged error: 0b

Counts

53 → 3

Compiler

Compiled 983 to 609 computations (38% saved)

regimes92.0ms (4.1%)

Compiler: Compiled 779 to 529 computations (32.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	15
1	20	15

end0.0ms (0%)

sample590.0ms (26.2%)

Algorithm

1×

intervals

Results

234.0ms	8000×	body	128	valid
16.0ms	660×	body	128	overflowed

Compiler

Compiled 150 to 109 computations (27.3% saved)

Details

analyze80.0ms (3.5%)

sample15.0ms (0.7%)

simplify99.0ms (4.4%)

prune2.0ms (0.1%)

localize6.0ms (0.3%)

rewrite10.0ms (0.4%)

series111.0ms (4.9%)

simplify64.0ms (2.8%)

prune34.0ms (1.5%)

localize8.0ms (0.4%)

rewrite22.0ms (1%)

series328.0ms (14.6%)

simplify103.0ms (4.6%)

prune55.0ms (2.4%)

localize11.0ms (0.5%)

rewrite29.0ms (1.3%)

series123.0ms (5.4%)

simplify82.0ms (3.6%)

prune144.0ms (6.4%)

localize10.0ms (0.4%)

rewrite23.0ms (1%)

series95.0ms (4.2%)

simplify65.0ms (2.9%)

prune50.0ms (2.2%)

regimes92.0ms (4.1%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample590.0ms (26.2%)

Profiling