Details

analyze81.0ms (2.9%)

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 (0.5%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
1.0ms	31×	body	128	overflowed

Compiler

Compiled 17 to 15 computations (11.8% saved)

simplify164.0ms (5.8%)

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: 1.0b

Counts

2 → 1

Compiler

Compiled 16 to 12 computations (25% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite16.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`*-un-lft-identity_binary64_2099`
12×	`times-frac_binary64_2105`
11×	`add-sqr-sqrt_binary64_2120` `add-cube-cbrt_binary64_2131`
5×	`distribute-lft-out_binary64_2052`
4×	`add-cbrt-cube_binary64_2132` `add-log-exp_binary64_2135` `associate-/r*_binary64_2045`
3×	`associate-/l*_binary64_2046` `add-exp-log_binary64_2134`
2×	`flip3-+_binary64_2102` `pow1_binary64_2157` `associate-/r/_binary64_2047` `flip-+_binary64_2073`
1×	`cbrt-undiv_binary64_2130` `div-exp_binary64_2147` `sum-log_binary64_2187` `frac-2neg_binary64_2110` `+-commutative_binary64_2031` `clear-num_binary64_2098` `div-inv_binary64_2096`

Counts

2 → 45

Calls

2 calls:

8.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
5.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

series128.0ms (4.6%)

Counts

2 → 6

Calls

2 calls:

90.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
38.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

simplify62.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5165	899

prune43.0ms (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: 0.7b

Counts

52 → 4

Compiler

Compiled 782 to 180 computations (77% saved)

localize8.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (exp.f64 a) (exp.f64 b))
1.5b	(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
3.0b	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite22.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`*-un-lft-identity_binary64_2099`
8×	`log-prod_binary64_2182`
7×	`add-sqr-sqrt_binary64_2120`
6×	`add-log-exp_binary64_2135`
5×	`add-cube-cbrt_binary64_2131` `pow1_binary64_2157`
4×	`log-div_binary64_2183` `associate--r+_binary64_2037` `add-exp-log_binary64_2134`
3×	`distribute-lft-out_binary64_2052` `flip3-+_binary64_2102` `add-cbrt-cube_binary64_2132` `flip-+_binary64_2073`
2×	`log-pow_binary64_2185` `associate--r-_binary64_2040` `distribute-lft-out--_binary64_2053`
1×	`difference-of-squares_binary64_2068` `sub-neg_binary64_2092` `sum-log_binary64_2187` `+-commutative_binary64_2031` `flip3--_binary64_2103` `flip--_binary64_2074` `rem-log-exp_binary64_2137` `diff-log_binary64_2188`

Counts

3 → 47

Calls

3 calls:

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

series174.0ms (6.2%)

Counts

3 → 9

Calls

3 calls:

70.0ms	(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
66.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
38.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

simplify122.0ms (4.3%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (109.0ms)

Iter	Nodes	Cost
0	4828	878
1	4828	878

prune40.0ms (1.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	56	4	60

Merged error: 0.7b

Counts

60 → 4

Compiler

Compiled 872 to 288 computations (67% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.4b	(*.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
1.0b	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
1.0b	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
1.0b	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite84.0ms (3%)

Algorithm

1×	rewrite-expression-head

Rules

137×	`*-un-lft-identity_binary64_2099`
102×	`times-frac_binary64_2105`
96×	`cbrt-prod_binary64_2127`
95×	`add-sqr-sqrt_binary64_2120`
71×	`add-cube-cbrt_binary64_2131`
30×	`distribute-lft-out_binary64_2052`
27×	`swap-sqr_binary64_2066`
21×	`associate-l_binary64_2042` `associate-r_binary64_2041`
14×	`associate-/r/_binary64_2047`
12×	`associate-/r*_binary64_2045`
11×	`pow1_binary64_2157`
10×	`add-cbrt-cube_binary64_2132`
9×	`unswap-sqr_binary64_2067` `associate-/l*_binary64_2046` `add-exp-log_binary64_2134`
7×	`flip3-+_binary64_2102` `div-inv_binary64_2096` `flip-+_binary64_2073`
6×	`pow1/3_binary64_2178`
4×	`cbrt-div_binary64_2128` `add-log-exp_binary64_2135`
3×	`cbrt-undiv_binary64_2130` `div-exp_binary64_2147` `frac-2neg_binary64_2110` `clear-num_binary64_2098`
2×	`pow-prod-down_binary64_2167` `pow-prod-up_binary64_2166` `pow-sqr_binary64_2072`
1×	`associate-r/_binary64_2043` `-commutative_binary64_2032` `associate-*l/_binary64_2044` `prod-exp_binary64_2145` `pow2_binary64_2177` `pow-plus_binary64_2159` `frac-times_binary64_2109` `cbrt-unprod_binary64_2129`

Counts

4 → 198

Calls

4 calls:

26.0ms	(*.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
10.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
8.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
8.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

series689.0ms (24.5%)

Counts

4 → 12

Calls

4 calls:

394.0ms	(*.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
101.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
97.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
96.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

simplify116.0ms (4.1%)

Algorithm

1×	egg-herbie

Counts

210 → 210

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5065	5948

prune215.0ms (7.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	210	0	210
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	210	4	214

Merged error: 0.7b

Counts

214 → 4

Compiler

Compiled 7831 to 905 computations (88.4% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite12.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`*-un-lft-identity_binary64_2099`
15×	`times-frac_binary64_2105`
12×	`distribute-lft-out_binary64_2052`
11×	`add-sqr-sqrt_binary64_2120` `add-cube-cbrt_binary64_2131`
5×	`associate-/r*_binary64_2045`
3×	`add-cbrt-cube_binary64_2132` `associate-/l*_binary64_2046`
2×	`associate-/r/_binary64_2047` `add-exp-log_binary64_2134`
1×	`cbrt-undiv_binary64_2130` `flip3-+_binary64_2102` `pow1_binary64_2157` `div-exp_binary64_2147` `frac-2neg_binary64_2110` `add-log-exp_binary64_2135` `clear-num_binary64_2098` `div-inv_binary64_2096` `flip-+_binary64_2073`

Counts

1 → 37

Calls

1 calls:

9.0ms

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

series127.0ms (4.5%)

Counts

1 → 3

Calls

1 calls:

127.0ms

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

simplify57.0ms (2%)

Algorithm

1×	egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4985	714
1	4985	714

prune31.0ms (1.1%)

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: 0.7b

Counts

44 → 4

Compiler

Compiled 578 to 317 computations (45.2% saved)

regimes48.0ms (1.7%)

Compiler: Compiled 293 to 187 computations (36.2% 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%)

sample528.0ms (18.8%)

Algorithm

1×

intervals

Results

252.0ms	8000×	body	128	valid
18.0ms	686×	body	128	overflowed

Compiler

Compiled 79 to 56 computations (29.1% saved)

Details

analyze81.0ms (2.9%)

sample15.0ms (0.5%)

simplify164.0ms (5.8%)

prune2.0ms (0.1%)

localize5.0ms (0.2%)

rewrite16.0ms (0.6%)

series128.0ms (4.6%)

simplify62.0ms (2.2%)

prune43.0ms (1.5%)

localize8.0ms (0.3%)

rewrite22.0ms (0.8%)

series174.0ms (6.2%)

simplify122.0ms (4.3%)

prune40.0ms (1.4%)

localize9.0ms (0.3%)

rewrite84.0ms (3%)

series689.0ms (24.5%)

simplify116.0ms (4.1%)

prune215.0ms (7.7%)

localize6.0ms (0.2%)

rewrite12.0ms (0.4%)

series127.0ms (4.5%)

simplify57.0ms (2%)

prune31.0ms (1.1%)

regimes48.0ms (1.7%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample528.0ms (18.8%)

Profiling