Details

analyze181.0ms (9.2%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	26
1	9	26
0	2	2
1	2	2

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)

sample16.0ms (0.8%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
1.0ms	23×	body	128	overflowed

Compiler

Compiled 17 to 15 computations (11.8% saved)

simplify7.0ms (0.4%)

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: 0.0b

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

rewrite16.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`*-un-lft-identity_binary64_3147`
12×	`times-frac_binary64_3153`
11×	`add-sqr-sqrt_binary64_3169` `add-cube-cbrt_binary64_3182`
5×	`distribute-lft-out_binary64_3098`
4×	`add-cbrt-cube_binary64_3183` `associate-/r*_binary64_3091` `add-log-exp_binary64_3186`
3×	`add-exp-log_binary64_3185` `associate-/l*_binary64_3092`
2×	`flip-+_binary64_3121` `flip3-+_binary64_3150` `pow1_binary64_3208` `associate-/r/_binary64_3093`
1×	`clear-num_binary64_3146` `frac-2neg_binary64_3158` `+-commutative_binary64_3077` `cbrt-undiv_binary64_3181` `div-exp_binary64_3198` `div-inv_binary64_3144` `sum-log_binary64_3238`

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))

series74.0ms (3.7%)

Counts

2 → 6

Calls

2 calls:

51.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
22.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

simplify71.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5701	899

prune33.0ms (1.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	50	1	51
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	50	2	52

Merged error: 0b

Counts

52 → 2

Compiler

Compiled 758 to 158 computations (79.2% saved)

localize9.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

rewrite80.0ms (4.1%)

Algorithm

1×	rewrite-expression-head

Rules

150×	`cbrt-prod_binary64_3178`
128×	`*-un-lft-identity_binary64_3147`
102×	`times-frac_binary64_3153`
92×	`add-sqr-sqrt_binary64_3169`
68×	`add-cube-cbrt_binary64_3182`
27×	`swap-sqr_binary64_3114` `distribute-lft-out_binary64_3098`
21×	`associate-r_binary64_3087` `associate-l_binary64_3088`
14×	`associate-/r/_binary64_3093`
11×	`pow1_binary64_3208`
9×	`unswap-sqr_binary64_3115` `pow1/3_binary64_3229`
7×	`cbrt-div_binary64_3179` `flip-+_binary64_3121` `flip3-+_binary64_3150` `div-inv_binary64_3144`
6×	`add-exp-log_binary64_3185`
4×	`add-cbrt-cube_binary64_3183` `add-log-exp_binary64_3186`
2×	`pow-prod-down_binary64_3218` `pow-prod-up_binary64_3217` `pow-sqr_binary64_3120`
1×	`-commutative_binary64_3078` `frac-times_binary64_3157` `associate-l/_binary64_3090` `prod-exp_binary64_3196` `pow-plus_binary64_3210` `pow2_binary64_3228` `cbrt-unprod_binary64_3180` `associate-*r/_binary64_3089`

Counts

4 → 180

Calls

4 calls:

32.0ms	(*.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)))))
7.0ms	(cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))
7.0ms	(cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))
7.0ms	(cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))

series580.0ms (29.5%)

Counts

4 → 12

Calls

4 calls:

242.0ms	(*.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)))))
120.0ms	(cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))
110.0ms	(cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))
108.0ms	(cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))

simplify87.0ms (4.4%)

Algorithm

1×	egg-herbie

Counts

192 → 192

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5259	6181

prune207.0ms (10.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	192	0	192
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	192	2	194

Merged error: 0b

Counts

194 → 2

Compiler

Compiled 7306 to 837 computations (88.5% saved)

regimes48.0ms (2.4%)

Compiler: Compiled 338 to 202 computations (40.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	13
1	8	13

end0.0ms (0%)

sample546.0ms (27.8%)

Algorithm

1×

intervals

Results

239.0ms	8000×	body	128	valid
17.0ms	699×	body	128	overflowed

Compiler

Compiled 87 to 57 computations (34.5% saved)

Details

analyze181.0ms (9.2%)

sample16.0ms (0.8%)

simplify7.0ms (0.4%)

prune2.0ms (0.1%)

localize6.0ms (0.3%)

rewrite16.0ms (0.8%)

series74.0ms (3.7%)

simplify71.0ms (3.6%)

prune33.0ms (1.7%)

localize9.0ms (0.5%)

rewrite80.0ms (4.1%)

series580.0ms (29.5%)

simplify87.0ms (4.4%)

prune207.0ms (10.5%)

regimes48.0ms (2.4%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample546.0ms (27.8%)

Profiling