Details

analyze78.0ms (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)

sample14.0ms (0.6%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
0.0ms	18×	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: 0.3b

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

rewrite15.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`*-un-lft-identity_binary64_2465`
12×	`times-frac_binary64_2471`
11×	`add-cube-cbrt_binary64_2500` `add-sqr-sqrt_binary64_2487`
5×	`distribute-lft-out_binary64_2416`
4×	`add-log-exp_binary64_2504` `associate-/r*_binary64_2409` `add-cbrt-cube_binary64_2501`
3×	`add-exp-log_binary64_2503` `associate-/l*_binary64_2410`
2×	`flip3-+_binary64_2468` `flip-+_binary64_2439` `pow1_binary64_2526` `associate-/r/_binary64_2411`
1×	`+-commutative_binary64_2395` `sum-log_binary64_2556` `clear-num_binary64_2464` `cbrt-undiv_binary64_2499` `div-exp_binary64_2516` `div-inv_binary64_2462` `frac-2neg_binary64_2476`

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))

series75.0ms (3.4%)

Counts

2 → 6

Calls

2 calls:

54.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
21.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

simplify70.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5701	899

prune37.0ms (1.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	48	3	51
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	49	3	52

Merged error: 0b

Counts

52 → 3

Compiler

Compiled 760 to 175 computations (77% saved)

localize8.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (exp.f64 a) (exp.f64 b))
0.0b	(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
1.2b	(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
2.7b	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite27.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`*-un-lft-identity_binary64_2465`
13×	`add-sqr-sqrt_binary64_2487`
9×	`add-log-exp_binary64_2504` `add-cube-cbrt_binary64_2500` `pow1_binary64_2526`
8×	`log-prod_binary64_2551` `cancel-sign-sub-inv_binary64_2431`
7×	`exp-sum_binary64_2511`
6×	`log-div_binary64_2552` `exp-prod_binary64_2517`
5×	`log-pow_binary64_2554` `add-exp-log_binary64_2503`
4×	`flip3-+_binary64_2468` `associate--r+_binary64_2401` `associate--r-_binary64_2404` `flip-+_binary64_2439` `distribute-lft-out--_binary64_2417` `add-cbrt-cube_binary64_2501`
3×	`distribute-lft-out_binary64_2416`
2×	`difference-of-squares_binary64_2434` `sub-neg_binary64_2458` `diff-log_binary64_2557` `rem-exp-log_binary64_2505`
1×	`+-commutative_binary64_2395` `flip--_binary64_2440` `sum-log_binary64_2556` `flip3--_binary64_2469` `rem-log-exp_binary64_2506` `exp-diff_binary64_2513`

Counts

4 → 74

Calls

4 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)))))
4.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
4.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

series158.0ms (7%)

Counts

4 → 12

Calls

4 calls:

53.0ms	(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
41.0ms	(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
40.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
24.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

simplify62.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5980	1300

prune56.0ms (2.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	86	3	89

Merged error: 0b

Counts

89 → 3

Compiler

Compiled 1230 to 342 computations (72.2% saved)

localize8.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (exp.f64 a) (exp.f64 b))
0.0b	(cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3))
0.0b	(pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3)
0.3b	(/.f64 (exp.f64 a) (cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3)))

rewrite44.0ms (2%)

Algorithm

1×	rewrite-expression-head

Rules

70×	`*-un-lft-identity_binary64_2465` `cbrt-prod_binary64_2496`
51×	`times-frac_binary64_2471`
44×	`add-cube-cbrt_binary64_2500` `add-sqr-sqrt_binary64_2487`
24×	`cube-prod_binary64_2493` `unpow-prod-down_binary64_2544`
17×	`associate-/r*_binary64_2409`
13×	`distribute-lft-out_binary64_2416`
6×	`add-log-exp_binary64_2504` `unpow3_binary64_2531` `add-exp-log_binary64_2503` `cube-mult_binary64_2495` `add-cbrt-cube_binary64_2501` `sqr-pow_binary64_2437` `cube-div_binary64_2494`
5×	`pow1_binary64_2526`
4×	`flip3-+_binary64_2468` `flip-+_binary64_2439` `cbrt-div_binary64_2497`
3×	`pow-unpow_binary64_2542` `associate-/l*_binary64_2410`
2×	`associate-/r/_binary64_2411`
1×	`rem-cube-cbrt_binary64_2488` `+-commutative_binary64_2395` `sum-log_binary64_2556` `clear-num_binary64_2464` `cbrt-undiv_binary64_2499` `pow-exp_binary64_2533` `pow-to-exp_binary64_2534` `pow1/3_binary64_2547` `div-exp_binary64_2516` `div-inv_binary64_2462` `pow-pow_binary64_2537` `frac-2neg_binary64_2476` `rem-cbrt-cube_binary64_2489`

Counts

4 → 149

Calls

4 calls:

12.0ms	(/.f64 (exp.f64 a) (cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3)))
6.0ms	(pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3)
5.0ms	(cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3))
5.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

series136.0ms (6.1%)

Counts

4 → 12

Calls

4 calls:

53.0ms	(/.f64 (exp.f64 a) (cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3)))
44.0ms	(pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3)
20.0ms	(cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3))
19.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

simplify89.0ms (4%)

Algorithm

1×	egg-herbie

Counts

161 → 161

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4961	3204
1	4961	3204

prune114.0ms (5.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	161	0	161
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	161	3	164

Merged error: 0b

Counts

164 → 3

Compiler

Compiled 2719 to 833 computations (69.4% saved)

localize10.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (exp.f64 a) (exp.f64 b))
0.0b	(pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3)
0.3b	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
0.4b	(cbrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3))

rewrite45.0ms (2%)

Algorithm

1×	rewrite-expression-head

Rules

81×	`*-un-lft-identity_binary64_2465`
60×	`times-frac_binary64_2471`
47×	`add-cube-cbrt_binary64_2500` `add-sqr-sqrt_binary64_2487`
42×	`cbrt-prod_binary64_2496`
36×	`cube-prod_binary64_2493` `unpow-prod-down_binary64_2544`
17×	`distribute-lft-out_binary64_2416`
10×	`associate-/r/_binary64_2411`
9×	`add-cbrt-cube_binary64_2501`
7×	`add-exp-log_binary64_2503`
6×	`flip3-+_binary64_2468` `add-log-exp_binary64_2504` `flip-+_binary64_2439`
5×	`div-inv_binary64_2462` `pow1_binary64_2526`
4×	`associate-/r*_binary64_2409`
3×	`pow-unpow_binary64_2542` `associate-/l*_binary64_2410`
2×	`rem-cube-cbrt_binary64_2488` `unpow3_binary64_2531` `cbrt-undiv_binary64_2499` `pow-exp_binary64_2533` `cube-mult_binary64_2495` `div-exp_binary64_2516` `sqr-pow_binary64_2437` `cube-div_binary64_2494`
1×	`+-commutative_binary64_2395` `sum-log_binary64_2556` `clear-num_binary64_2464` `cbrt-div_binary64_2497` `pow-to-exp_binary64_2534` `pow1/3_binary64_2547` `pow-pow_binary64_2537` `frac-2neg_binary64_2476` `rem-cbrt-cube_binary64_2489`

Counts

4 → 153

Calls

4 calls:

10.0ms	(pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3)
10.0ms	(cbrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3))
7.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
4.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

series238.0ms (10.6%)

Counts

4 → 12

Calls

4 calls:

115.0ms	(pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3)
52.0ms	(cbrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3))
50.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
20.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

simplify90.0ms (4%)

Algorithm

1×	egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5120	3537

prune124.0ms (5.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	165	0	165
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	165	3	168

Merged error: 0b

Counts

168 → 3

Compiler

Compiled 2824 to 916 computations (67.6% saved)

regimes77.0ms (3.4%)

Compiler: Compiled 435 to 356 computations (18.2% 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%)

sample550.0ms (24.6%)

Algorithm

1×

intervals

Results

238.0ms	8000×	body	128	valid
16.0ms	681×	body	128	overflowed

Compiler

Compiled 90 to 76 computations (15.6% saved)

Details

analyze78.0ms (3.5%)

sample14.0ms (0.6%)

simplify99.0ms (4.4%)

prune2.0ms (0.1%)

localize5.0ms (0.2%)

rewrite15.0ms (0.7%)

series75.0ms (3.4%)

simplify70.0ms (3.1%)

prune37.0ms (1.7%)

localize8.0ms (0.4%)

rewrite27.0ms (1.2%)

series158.0ms (7%)

simplify62.0ms (2.8%)

prune56.0ms (2.5%)

localize8.0ms (0.4%)

rewrite44.0ms (2%)

series136.0ms (6.1%)

simplify89.0ms (4%)

prune114.0ms (5.1%)

localize10.0ms (0.5%)

rewrite45.0ms (2%)

series238.0ms (10.6%)

simplify90.0ms (4%)

prune124.0ms (5.6%)

regimes77.0ms (3.4%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample550.0ms (24.6%)

Profiling