Details

analyze80.0ms (2.3%)

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 (0.4%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
0.0ms	15×	body	128	overflowed

Compiler

Compiled 17 to 15 computations (11.8% saved)

simplify99.0ms (2.9%)

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)

localize5.0ms (0.2%)

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)))

rewrite15.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`*-un-lft-identity_binary64_2806`
12×	`times-frac_binary64_2812`
11×	`add-sqr-sqrt_binary64_2828` `add-cube-cbrt_binary64_2841`
5×	`distribute-lft-out_binary64_2757`
4×	`add-cbrt-cube_binary64_2842` `associate-/r*_binary64_2750` `add-log-exp_binary64_2845`
3×	`add-exp-log_binary64_2844` `associate-/l*_binary64_2751`
2×	`flip-+_binary64_2780` `flip3-+_binary64_2809` `associate-/r/_binary64_2752` `pow1_binary64_2867`
1×	`div-inv_binary64_2803` `div-exp_binary64_2857` `cbrt-undiv_binary64_2840` `sum-log_binary64_2897` `clear-num_binary64_2805` `frac-2neg_binary64_2817` `+-commutative_binary64_2736`

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))

series78.0ms (2.3%)

Counts

2 → 6

Calls

2 calls:

56.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
21.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

simplify69.0ms (2%)

Algorithm

1×	egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5701	899

prune42.0ms (1.2%)

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: 0.5b

Counts

52 → 4

Compiler

Compiled 805 to 189 computations (76.5% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))
0.0b	(+.f64 (exp.f64 a) (exp.f64 b))
0.3b	(log.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
0.5b	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite39.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

52×	`*-un-lft-identity_binary64_2806`
36×	`times-frac_binary64_2812` `exp-prod_binary64_2858`
30×	`add-sqr-sqrt_binary64_2828` `add-cube-cbrt_binary64_2841`
19×	`log-pow_binary64_2895`
11×	`distribute-lft-out_binary64_2757`
7×	`add-log-exp_binary64_2845`
6×	`add-cbrt-cube_binary64_2842` `associate-/r/_binary64_2752`
5×	`add-exp-log_binary64_2844` `pow1_binary64_2867`
4×	`associate-/r*_binary64_2750` `flip-+_binary64_2780` `flip3-+_binary64_2809`
3×	`div-inv_binary64_2803` `log-prod_binary64_2892` `associate-/l*_binary64_2751`
1×	`div-exp_binary64_2857` `cbrt-undiv_binary64_2840` `rem-log-exp_binary64_2847` `sum-log_binary64_2897` `clear-num_binary64_2805` `rem-exp-log_binary64_2846` `frac-2neg_binary64_2817` `+-commutative_binary64_2736`

Counts

4 → 101

Calls

4 calls:

10.0ms	(exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))
8.0ms	(log.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
7.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
4.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

series231.0ms (6.7%)

Counts

4 → 12

Calls

4 calls:

88.0ms	(log.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
68.0ms	(exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))
53.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
21.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

simplify75.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5736	1915

prune87.0ms (2.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	112	1	113
Fresh	1	2	3
Picked	0	1	1
Done	0	0	0
Total	113	4	117

Merged error: 0.4b

Counts

117 → 4

Compiler

Compiled 1981 to 412 computations (79.2% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(*.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)))))
0.5b	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
0.5b	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
0.5b	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite82.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Rules

137×	`*-un-lft-identity_binary64_2806`
102×	`times-frac_binary64_2812`
96×	`cbrt-prod_binary64_2837`
95×	`add-sqr-sqrt_binary64_2828`
71×	`add-cube-cbrt_binary64_2841`
30×	`distribute-lft-out_binary64_2757`
27×	`swap-sqr_binary64_2773`
21×	`associate-l_binary64_2747` `associate-r_binary64_2746`
14×	`associate-/r/_binary64_2752`
12×	`associate-/r*_binary64_2750`
11×	`pow1_binary64_2867`
10×	`add-cbrt-cube_binary64_2842`
9×	`add-exp-log_binary64_2844` `associate-/l*_binary64_2751` `unswap-sqr_binary64_2774`
7×	`div-inv_binary64_2803` `flip-+_binary64_2780` `flip3-+_binary64_2809`
6×	`pow1/3_binary64_2888`
4×	`cbrt-div_binary64_2838` `add-log-exp_binary64_2845`
3×	`div-exp_binary64_2857` `cbrt-undiv_binary64_2840` `clear-num_binary64_2805` `frac-2neg_binary64_2817`
2×	`pow-sqr_binary64_2779` `pow-prod-up_binary64_2876` `pow-prod-down_binary64_2877`
1×	`frac-times_binary64_2816` `-commutative_binary64_2737` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839` `pow2_binary64_2887` `associate-r/_binary64_2748` `associate-*l/_binary64_2749` `pow-plus_binary64_2869`

Counts

4 → 198

Calls

4 calls:

27.0ms	(*.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)))
7.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

series386.0ms (11.2%)

Counts

4 → 12

Calls

4 calls:

233.0ms	(*.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)))))
54.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
52.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
46.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

simplify111.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

210 → 210

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5131	6026

prune210.0ms (6.1%)

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: 0.4b

Counts

214 → 4

Compiler

Compiled 7898 to 914 computations (88.4% saved)

localize15.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (exp.f64 a) (exp.f64 b))
0.5b	(/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)))
0.7b	(.f64 (/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))) (+.f64 (.f64 (exp.f64 a) (exp.f64 a)) (-.f64 (.f64 (exp.f64 b) (exp.f64 b)) (.f64 (exp.f64 a) (exp.f64 b)))))
2.1b	(-.f64 (.f64 (exp.f64 b) (exp.f64 b)) (.f64 (exp.f64 a) (exp.f64 b)))

rewrite89.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Rules

106×	`*-un-lft-identity_binary64_2806`
55×	`times-frac_binary64_2812`
41×	`add-sqr-sqrt_binary64_2828`
36×	`associate-l_binary64_2747`
35×	`distribute-lft-out_binary64_2757`
34×	`add-cube-cbrt_binary64_2841`
28×	`cube-prod_binary64_2834` `unpow-prod-down_binary64_2885`
13×	`add-cbrt-cube_binary64_2842`
9×	`add-exp-log_binary64_2844` `associate-/r*_binary64_2750`
8×	`pow1_binary64_2867`
7×	`sum-cubes_binary64_2807`
6×	`add-log-exp_binary64_2845` `associate-r_binary64_2746`
4×	`flip-+_binary64_2780` `flip3-+_binary64_2809` `associate-/r/_binary64_2752`
3×	`prod-exp_binary64_2855` `cbrt-unprod_binary64_2839` `associate-/l*_binary64_2751` `unswap-sqr_binary64_2774`
2×	`frac-times_binary64_2816` `div-inv_binary64_2803` `div-exp_binary64_2857` `-commutative_binary64_2737` `cbrt-undiv_binary64_2840` `exp-prod_binary64_2858` `associate-r/_binary64_2748` `pow-prod-down_binary64_2877`
1×	`distribute-rgt-out--_binary64_2760` `cancel-sign-sub-inv_binary64_2772` `flip3--_binary64_2810` `distribute-lft-in_binary64_2755` `distribute-rgt-in_binary64_2756` `diff-log_binary64_2898` `pow-prod-up_binary64_2876` `sub-neg_binary64_2799` `flip--_binary64_2781` `clear-num_binary64_2805` `associate-*l/_binary64_2749` `frac-2neg_binary64_2817`

Counts

4 → 143

Calls

4 calls:

37.0ms	(.f64 (/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))) (+.f64 (.f64 (exp.f64 a) (exp.f64 a)) (-.f64 (.f64 (exp.f64 b) (exp.f64 b)) (.f64 (exp.f64 a) (exp.f64 b)))))
17.0ms	(/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)))
7.0ms	(-.f64 (.f64 (exp.f64 b) (exp.f64 b)) (.f64 (exp.f64 a) (exp.f64 b)))
7.0ms	(*.f64 (exp.f64 a) (exp.f64 b))

series447.0ms (13%)

Counts

4 → 12

Calls

4 calls:

269.0ms	(.f64 (/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))) (+.f64 (.f64 (exp.f64 a) (exp.f64 a)) (-.f64 (.f64 (exp.f64 b) (exp.f64 b)) (.f64 (exp.f64 a) (exp.f64 b)))))
103.0ms	(/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)))
53.0ms	(-.f64 (.f64 (exp.f64 b) (exp.f64 b)) (.f64 (exp.f64 a) (exp.f64 b)))
22.0ms	(*.f64 (exp.f64 a) (exp.f64 b))

simplify74.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	4984	4673
1	4984	4673

prune412.0ms (12%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	155	0	155
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	155	4	159

Merged error: 0.4b

Counts

159 → 4

Compiler

Compiled 5746 to 1942 computations (66.2% saved)

regimes117.0ms (3.4%)

Compiler: Compiled 1237 to 757 computations (38.8% 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%)

sample632.0ms (18.4%)

Algorithm

1×

intervals

Results

239.0ms	8000×	body	128	valid
15.0ms	621×	body	128	overflowed

Compiler

Compiled 214 to 140 computations (34.6% saved)

Details

analyze80.0ms (2.3%)

sample14.0ms (0.4%)

simplify99.0ms (2.9%)

prune2.0ms (0.1%)

localize5.0ms (0.2%)

rewrite15.0ms (0.4%)

series78.0ms (2.3%)

simplify69.0ms (2%)

prune42.0ms (1.2%)

localize9.0ms (0.3%)

rewrite39.0ms (1.1%)

series231.0ms (6.7%)

simplify75.0ms (2.2%)

prune87.0ms (2.5%)

localize10.0ms (0.3%)

rewrite82.0ms (2.4%)

series386.0ms (11.2%)

simplify111.0ms (3.2%)

prune210.0ms (6.1%)

localize15.0ms (0.5%)

rewrite89.0ms (2.6%)

series447.0ms (13%)

simplify74.0ms (2.2%)

prune412.0ms (12%)

regimes117.0ms (3.4%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample632.0ms (18.4%)

Profiling