Details

analyze182.0ms (3.9%)

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)

sample18.0ms (0.4%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
0.0ms	19×	body	128	overflowed

Compiler

Compiled 17 to 15 computations (11.8% saved)

simplify8.0ms (0.2%)

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%)

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)

localize5.0ms (0.1%)

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)))

rewrite55.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

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

Compiler

Compiled 750 to 153 computations (79.6% saved)

series229.0ms (4.9%)

Error

0.0b

Counts

2 → 24

Calls

2 calls:

162.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
38.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

Compiler

Compiled 1116 to 744 computations (33.3% saved)

simplify41.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	5229	1560

prune65.0ms (1.4%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	65	4	69
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	66	4	70

Error

Counts

70 → 4

Compiler

Compiled 1226 to 435 computations (64.5% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (exp.f64 b) (exp.f64 a))
0.0b	(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
0.6b	(-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
2.7b	(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))

rewrite84.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

21×	`*-un-lft-identity_binary64_2806`
13×	`add-sqr-sqrt_binary64_2828`
9×	`pow1_binary64_2867` `add-cube-cbrt_binary64_2841` `add-log-exp_binary64_2845`
8×	`log-prod_binary64_2892` `cancel-sign-sub-inv_binary64_2772`
7×	`exp-sum_binary64_2852`
6×	`log-div_binary64_2893` `exp-prod_binary64_2858`
5×	`log-pow_binary64_2895` `add-exp-log_binary64_2844`
4×	`flip3-+_binary64_2809` `flip-+_binary64_2780` `add-cbrt-cube_binary64_2842` `distribute-lft-out--_binary64_2758` `associate--r-_binary64_2745` `associate--r+_binary64_2742`
3×	`distribute-lft-out_binary64_2757`
2×	`diff-log_binary64_2898` `sub-neg_binary64_2799` `difference-of-squares_binary64_2775` `rem-exp-log_binary64_2846`
1×	`rem-log-exp_binary64_2847` `flip3--_binary64_2810` `flip--_binary64_2781` `exp-diff_binary64_2854` `sum-log_binary64_2897` `+-commutative_binary64_2736`

Counts

4 → 74

Calls

4 calls:

8.0ms	(-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
6.0ms	(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
4.0ms	(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
4.0ms	(+.f64 (exp.f64 b) (exp.f64 a))

Compiler

Compiled 1288 to 303 computations (76.5% saved)

series673.0ms (14.5%)

Error

Counts

4 → 48

Calls

4 calls:

201.0ms	(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))
198.0ms	(-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
173.0ms	(log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))
37.0ms	(+.f64 (exp.f64 b) (exp.f64 a))

Compiler

Compiled 2616 to 1882 computations (28.1% saved)

simplify94.0ms (2%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4984	2498
1	4984	2498

prune107.0ms (2.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	122	4	126

Error

Counts

126 → 4

Compiler

Compiled 2082 to 844 computations (59.5% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

rewrite158.0ms (3.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

108×	`times-frac_binary64_2812`
95×	`*-un-lft-identity_binary64_2806`
61×	`add-cube-cbrt_binary64_2841` `add-sqr-sqrt_binary64_2828`
19×	`associate-/r*_binary64_2750`
17×	`distribute-lft-out_binary64_2757`
12×	`add-exp-log_binary64_2844`
10×	`add-cbrt-cube_binary64_2842`
8×	`div-exp_binary64_2857`
7×	`associate-/l*_binary64_2751`
6×	`div-inv_binary64_2803`
5×	`add-log-exp_binary64_2845`
4×	`pow1_binary64_2867` `cbrt-undiv_binary64_2840`
2×	`frac-2neg_binary64_2817` `clear-num_binary64_2805` `flip3-+_binary64_2809` `associate-/l/_binary64_2753` `flip-+_binary64_2780` `1-exp_binary64_2850` `rec-exp_binary64_2856`
1×	`inv-pow_binary64_2891` `pow-flip_binary64_2880` `associate-/r/_binary64_2752` `sum-log_binary64_2897` `+-commutative_binary64_2736`

Counts

3 → 133

Calls

3 calls:

10.0ms	(/.f64 1 (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a)))
7.0ms	(/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a))
4.0ms	(+.f64 (exp.f64 b) (exp.f64 a))

Compiler

Compiled 2796 to 840 computations (70% saved)

series336.0ms (7.2%)

Error

Counts

3 → 36

Calls

3 calls:

167.0ms	(/.f64 1 (/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a)))
93.0ms	(/.f64 (+.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 a))
38.0ms	(+.f64 (exp.f64 b) (exp.f64 a))

Compiler

Compiled 1574 to 1067 computations (32.2% saved)

simplify98.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

169 → 169

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4963	4013
1	4963	4013

prune136.0ms (2.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	169	0	169
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	169	4	173

Error

Counts

173 → 4

Compiler

Compiled 3104 to 927 computations (70.1% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite253.0ms (5.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

122×	`*-un-lft-identity_binary64_2806`
98×	`sqrt-prod_binary64_2822`
96×	`add-sqr-sqrt_binary64_2828`
92×	`times-frac_binary64_2812`
62×	`add-cube-cbrt_binary64_2841`
29×	`swap-sqr_binary64_2773`
27×	`distribute-lft-out_binary64_2757`
21×	`associate-l_binary64_2747` `associate-r_binary64_2746`
19×	`pow1_binary64_2867`
12×	`associate-/r/_binary64_2752`
10×	`add-cbrt-cube_binary64_2842`
9×	`unswap-sqr_binary64_2774`
8×	`add-exp-log_binary64_2844` `associate-/r*_binary64_2750` `pow1/2_binary64_2886` `sqrt-pow1_binary64_2824`
7×	`flip3-+_binary64_2809` `flip-+_binary64_2780`
6×	`add-log-exp_binary64_2845` `div-inv_binary64_2803` `associate-/l*_binary64_2751`
5×	`pow-prod-up_binary64_2876`
4×	`rem-sqrt-square_binary64_2819` `sqrt-div_binary64_2823`
3×	`pow-prod-down_binary64_2877` `pow-sqr_binary64_2779`
2×	`div-exp_binary64_2857` `cbrt-undiv_binary64_2840` `frac-2neg_binary64_2817` `clear-num_binary64_2805` `sqr-abs_binary64_2821`
1×	`pow2_binary64_2887` `pow-plus_binary64_2869` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839` `sqrt-unprod_binary64_2826` `rem-square-sqrt_binary64_2818` `frac-times_binary64_2816` `associate-l/_binary64_2749` `associate-r/_binary64_2748` `*-commutative_binary64_2737` `sum-log_binary64_2897` `+-commutative_binary64_2736`

Counts

4 → 188

Calls

4 calls:

28.0ms	(*.f64 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))) (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))))
7.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
7.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
4.0ms	(+.f64 (exp.f64 b) (exp.f64 a))

Compiler

Compiled 5823 to 780 computations (86.6% saved)

series579.0ms (12.5%)

Error

Counts

4 → 44

Calls

4 calls:

169.0ms	(*.f64 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))) (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))))
158.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
148.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
41.0ms	(+.f64 (exp.f64 b) (exp.f64 a))

Compiler

Compiled 3128 to 1746 computations (44.2% saved)

simplify126.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

232 → 232

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4979	5637
1	4979	5637

prune219.0ms (4.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	232	0	232
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	232	4	236

Error

Counts

236 → 4

Compiler

Compiled 5727 to 1153 computations (79.9% saved)

regimes214.0ms (4.6%)

Accuracy

Total 0.4b remaining (64.6%)

Threshold costs 0.4b (64.6%)

Compiler

Compiled 2000 to 1353 computations (32.4% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	15
1	20	15

end0.0ms (0%)

sample946.0ms (20.3%)

Algorithm

1×

intervals

Results

233.0ms	8000×	body	128	valid
16.0ms	679×	body	128	overflowed

Compiler

Compiled 345 to 241 computations (30.1% saved)

Details

analyze182.0ms (3.9%)

sample18.0ms (0.4%)

simplify8.0ms (0.2%)

prune2.0ms (0%)

localize5.0ms (0.1%)

rewrite55.0ms (1.2%)

series229.0ms (4.9%)

simplify41.0ms (0.9%)

prune65.0ms (1.4%)

localize8.0ms (0.2%)

rewrite84.0ms (1.8%)

series673.0ms (14.5%)

simplify94.0ms (2%)

prune107.0ms (2.3%)

localize7.0ms (0.1%)

rewrite158.0ms (3.4%)

series336.0ms (7.2%)

simplify98.0ms (2.1%)

prune136.0ms (2.9%)

localize7.0ms (0.2%)

rewrite253.0ms (5.4%)

series579.0ms (12.5%)

simplify126.0ms (2.7%)

prune219.0ms (4.7%)

regimes214.0ms (4.6%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample946.0ms (20.3%)

Profiling