Details

analyze72.0ms (2.1%)

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
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
43.7%	43.7%	12.6%	6
53.1%	31.2%	15.7%	7
59.3%	18.7%	22%	8
62.4%	14%	23.5%	9
64.8%	8.6%	26.6%	10
66%	6.6%	27.4%	11
66.9%	4.1%	29%	12
67.4%	3.2%	29.4%	13
67.9%	2%	30.1%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample24.0ms (0.7%)

Algorithm

1×

intervals

Results

12.0ms	238×	body	128	valid
2.0ms	5×	body	1024	valid
1.0ms	6×	body	512	valid
1.0ms	7×	body	256	valid
0.0ms	5×	body	128	invalid

Compiler

Compiled 19 to 19 computations (0% saved)

simplify164.0ms (4.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	96	14
1	96	14

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 18 to 16 computations (11.1% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
0.0b	(+.f64 1 (exp.f64 x))
0.0b	(log.f64 (+.f64 1 (exp.f64 x)))

rewrite18.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`*-un-lft-identity_binary64_2436`
8×	`log-prod_binary64_2519`
6×	`add-log-exp_binary64_2472`
5×	`add-sqr-sqrt_binary64_2457` `add-cube-cbrt_binary64_2468`
4×	`add-exp-log_binary64_2471` `log-div_binary64_2520` `pow1_binary64_2494` `associate--l+_binary64_2375`
3×	`flip3-+_binary64_2439` `distribute-lft-out_binary64_2389` `flip-+_binary64_2410` `add-cbrt-cube_binary64_2469`
2×	`associate--l-_binary64_2376`
1×	`log-pow_binary64_2522` `diff-log_binary64_2525` `flip3--_binary64_2440` `sum-log_binary64_2524` `+-commutative_binary64_2368` `rem-log-exp_binary64_2474` `flip--_binary64_2411` `sub-neg_binary64_2429`

Counts

3 → 44

Calls

3 calls:

7.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
4.0ms	(log.f64 (+.f64 1 (exp.f64 x)))
4.0ms	(+.f64 1 (exp.f64 x))

series170.0ms (5%)

Counts

3 → 9

Calls

3 calls:

82.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
77.0ms	(log.f64 (+.f64 1 (exp.f64 x)))
11.0ms	(+.f64 1 (exp.f64 x))

simplify61.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5012	761

prune52.0ms (1.5%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	50	3	53
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	51	3	54

Merged error: 0b

Counts

54 → 3

Compiler

Compiled 820 to 470 computations (42.7% saved)

localize14.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(pow.f64 (exp.f64 x) 2)
0.0b	(pow.f64 (exp.f64 x) 3)
0.0b	(log.f64 (/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x)))))
4.0b	(-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))

rewrite47.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

54×	`*-un-lft-identity_binary64_2436`
27×	`add-sqr-sqrt_binary64_2457`
26×	`log-prod_binary64_2519`
21×	`add-cube-cbrt_binary64_2468`
20×	`times-frac_binary64_2442`
13×	`distribute-lft-out_binary64_2389`
8×	`pow-pow_binary64_2505`
7×	`unpow-prod-down_binary64_2512` `add-exp-log_binary64_2471` `pow1_binary64_2494`
6×	`add-log-exp_binary64_2472` `pow-unpow_binary64_2510` `exp-prod_binary64_2485`
5×	`distribute-lft-out--_binary64_2390` `add-cbrt-cube_binary64_2469`
4×	`difference-of-squares_binary64_2405`
3×	`unpow2_binary64_2498` `cube-prod_binary64_2461` `sqr-pow_binary64_2408`
2×	`associate-/r/_binary64_2384` `pow-to-exp_binary64_2502` `pow-exp_binary64_2501` `rem-log-exp_binary64_2474`
1×	`flip3-+_binary64_2439` `flip-+_binary64_2410` `log-pow_binary64_2522` `div-inv_binary64_2433` `diff-log_binary64_2525` `rem-cube-cbrt_binary64_2458` `div-exp_binary64_2484` `flip3--_binary64_2440` `cube-mult_binary64_2463` `log-div_binary64_2520` `unpow3_binary64_2499` `flip--_binary64_2411` `distribute-rgt-out--_binary64_2392` `sub-neg_binary64_2429`

Counts

4 → 101

Calls

4 calls:

17.0ms	(log.f64 (/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x)))))
8.0ms	(-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))
4.0ms	(pow.f64 (exp.f64 x) 2)
4.0ms	(pow.f64 (exp.f64 x) 3)

series484.0ms (14.4%)

Counts

4 → 12

Calls

4 calls:

389.0ms	(log.f64 (/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x)))))
37.0ms	(pow.f64 (exp.f64 x) 3)
37.0ms	(-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))
21.0ms	(pow.f64 (exp.f64 x) 2)

simplify83.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4922	2228
1	4922	2228

prune146.0ms (4.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	113	3	116

Merged error: 0b

Counts

116 → 3

Compiler

Compiled 3037 to 1814 computations (40.3% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 1 (exp.f64 x))
0.0b	(+.f64 1 (exp.f64 x))
0.7b	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
0.7b	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))

rewrite25.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`*-un-lft-identity_binary64_2436`
14×	`log-prod_binary64_2519`
8×	`add-sqr-sqrt_binary64_2457` `add-log-exp_binary64_2472` `add-cube-cbrt_binary64_2468` `pow1_binary64_2494` `sqrt-prod_binary64_2451`
6×	`log-pow_binary64_2522` `add-exp-log_binary64_2471`
4×	`flip3-+_binary64_2439` `distribute-lft-out_binary64_2389` `flip-+_binary64_2410` `add-cbrt-cube_binary64_2469` `log-div_binary64_2520` `sqrt-div_binary64_2452`
2×	`pow1/2_binary64_2513` `sum-log_binary64_2524` `+-commutative_binary64_2368` `rem-log-exp_binary64_2474` `sqrt-pow1_binary64_2453`

Counts

4 → 64

Calls

4 calls:

6.0ms	(+.f64 1 (exp.f64 x))
5.0ms	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
5.0ms	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
4.0ms	(+.f64 1 (exp.f64 x))

series232.0ms (6.9%)

Counts

4 → 12

Calls

4 calls:

111.0ms	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
99.0ms	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
12.0ms	(+.f64 1 (exp.f64 x))
10.0ms	(+.f64 1 (exp.f64 x))

simplify59.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5012	988

prune86.0ms (2.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	76	3	79

Merged error: 0b

Counts

79 → 3

Compiler

Compiled 1654 to 1058 computations (36% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 1 (exp.f64 x))
0.0b	(log.f64 (+.f64 1 (exp.f64 x)))
0.7b	(pow.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y)) 3)
13.2b	(cbrt.f64 (pow.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y)) 3))

rewrite26.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`*-un-lft-identity_binary64_2436`
12×	`cbrt-prod_binary64_2464`
11×	`add-sqr-sqrt_binary64_2457` `add-cube-cbrt_binary64_2468`
6×	`unpow-prod-down_binary64_2512` `add-log-exp_binary64_2472` `add-exp-log_binary64_2471` `cube-prod_binary64_2461` `pow1_binary64_2494`
5×	`add-cbrt-cube_binary64_2469`
4×	`log-prod_binary64_2519` `cube-div_binary64_2462`
3×	`pow-unpow_binary64_2510`
2×	`flip3-+_binary64_2439` `distribute-lft-out_binary64_2389` `flip-+_binary64_2410` `flip3--_binary64_2440` `cube-mult_binary64_2463` `log-div_binary64_2520` `unpow3_binary64_2499` `sqr-pow_binary64_2408` `flip--_binary64_2411` `cbrt-div_binary64_2465`
1×	`pow1/3_binary64_2515` `log-pow_binary64_2522` `rem-cube-cbrt_binary64_2458` `rem-cbrt-cube_binary64_2459` `sum-log_binary64_2524` `pow-to-exp_binary64_2502` `pow-exp_binary64_2501` `pow-pow_binary64_2505` `+-commutative_binary64_2368` `rem-log-exp_binary64_2474`

Counts

4 → 75

Calls

4 calls:

5.0ms	(cbrt.f64 (pow.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y)) 3))
5.0ms	(pow.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y)) 3)
4.0ms	(log.f64 (+.f64 1 (exp.f64 x)))
4.0ms	(+.f64 1 (exp.f64 x))

series348.0ms (10.4%)

Counts

4 → 12

Calls

4 calls:

195.0ms	(pow.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y)) 3)
74.0ms	(cbrt.f64 (pow.f64 (-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y)) 3))
70.0ms	(log.f64 (+.f64 1 (exp.f64 x)))
9.0ms	(+.f64 1 (exp.f64 x))

simplify73.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4958	1676
1	4958	1676

prune85.0ms (2.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	87	0	87
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	87	3	90

Merged error: 0b

Counts

90 → 3

Compiler

Compiled 1578 to 962 computations (39% saved)

regimes76.0ms (2.3%)

Compiler: Compiled 532 to 468 computations (12% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	53	33
1	53	33

end0.0ms (0%)

sample985.0ms (29.3%)

Algorithm

1×

intervals

Results

384.0ms	7382×	body	128	valid
100.0ms	232×	body	1024	valid
53.0ms	225×	body	512	valid
21.0ms	157×	body	256	valid
5.0ms	4×	body	2048	valid
3.0ms	47×	body	128	invalid
0.0ms	8×	body	128	overflowed

Compiler

Compiled 204 to 174 computations (14.7% saved)

Details

analyze72.0ms (2.1%)

sample24.0ms (0.7%)

simplify164.0ms (4.9%)

prune2.0ms (0.1%)

localize7.0ms (0.2%)

rewrite18.0ms (0.5%)

series170.0ms (5%)

simplify61.0ms (1.8%)

prune52.0ms (1.5%)

localize14.0ms (0.4%)

rewrite47.0ms (1.4%)

series484.0ms (14.4%)

simplify83.0ms (2.5%)

prune146.0ms (4.3%)

localize9.0ms (0.3%)

rewrite25.0ms (0.7%)

series232.0ms (6.9%)

simplify59.0ms (1.8%)

prune86.0ms (2.6%)

localize11.0ms (0.3%)

rewrite26.0ms (0.8%)

series348.0ms (10.4%)

simplify73.0ms (2.2%)

prune85.0ms (2.5%)

regimes76.0ms (2.3%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample985.0ms (29.3%)

Profiling