Details

analyze212.0ms (8.6%)

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
25%	74.9%	0.1%	4
25%	74.9%	0.1%	5
37.4%	62.4%	0.1%	6
46.8%	53%	0.1%	7
52.3%	47.6%	0.1%	8
65.5%	34.3%	0.1%	9
71%	28.9%	0.1%	10
75%	24.9%	0.1%	11
81.6%	18.2%	0.1%	12
84.5%	15.4%	0.1%	13
86.9%	13%	0.1%	14

Compiler

Compiled 13 to 11 computations (15.4% saved)

sample19.0ms (0.8%)

Algorithm

1×

intervals

Results

10.0ms

256×

body

128

valid

Compiler

Compiled 25 to 24 computations (4% saved)

simplify235.0ms (9.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (138.0ms)

Iter	Nodes	Cost
0	5305	18

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

Error

2.8b

Counts

2 → 1

Compiler

Compiled 24 to 20 computations (16.7% saved)

localize8.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b

(*.f64 5081767996463981/4503599627370496 (exp.f64 z))

0.4b

(-.f64 (*.f64 5081767996463981/4503599627370496 (exp.f64 z)) (*.f64 x y))

8.3b

(/.f64 y (-.f64 (*.f64 5081767996463981/4503599627370496 (exp.f64 z)) (*.f64 x y)))

rewrite21.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`add-sqr-sqrt_binary64_12035`
13×	`add-cube-cbrt_binary64_12048` `*-un-lft-identity_binary64_12013`
9×	`times-frac_binary64_12019`
7×	`add-cbrt-cube_binary64_12049`
6×	`add-exp-log_binary64_12051`
5×	`add-log-exp_binary64_12052` `pow1_binary64_12074`
3×	`associate-/r_binary64_11957` `associate-l_binary64_11954` `associate-/l_binary64_11958` `associate-r_binary64_11953`
2×	`associate-/r/_binary64_11959` `flip3--_binary64_12017` `flip--_binary64_11988`
1×	`cancel-sign-sub-inv_binary64_11979` `*-commutative_binary64_11944` `clear-num_binary64_12012` `div-exp_binary64_12064` `unswap-sqr_binary64_11981` `div-inv_binary64_12010` `pow-prod-down_binary64_12084` `cbrt-undiv_binary64_12047` `diff-log_binary64_12105` `frac-2neg_binary64_12024` `cbrt-unprod_binary64_12046` `prod-exp_binary64_12062` `sub-neg_binary64_12006`

Counts

3 → 59

Calls

3 calls:

7.0ms

(/.f64 y (-.f64 (*.f64 5081767996463981/4503599627370496 (exp.f64 z)) (*.f64 x y)))

6.0ms

(*.f64 5081767996463981/4503599627370496 (exp.f64 z))

5.0ms

(-.f64 (*.f64 5081767996463981/4503599627370496 (exp.f64 z)) (*.f64 x y))

series161.0ms (6.5%)

Counts

3 → 9

Calls

3 calls:

101.0ms

(/.f64 y (-.f64 (*.f64 5081767996463981/4503599627370496 (exp.f64 z)) (*.f64 x y)))

49.0ms

(-.f64 (*.f64 5081767996463981/4503599627370496 (exp.f64 z)) (*.f64 x y))

10.0ms

(*.f64 5081767996463981/4503599627370496 (exp.f64 z))

simplify69.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5481	1190

prune73.0ms (3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	66	2	68
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	67	2	69

Error

Counts

69 → 2

Compiler

Compiled 1295 to 644 computations (50.3% saved)

localize9.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (/.f64 (exp.f64 z) (*.f64 y 4503599627370496/5081767996463981)) x)
0.1b	(/.f64 1 (-.f64 (/.f64 (exp.f64 z) (*.f64 y 4503599627370496/5081767996463981)) x))
0.2b	(/.f64 (exp.f64 z) (*.f64 y 4503599627370496/5081767996463981))
0.3b	(*.f64 y 4503599627370496/5081767996463981)

rewrite32.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`add-sqr-sqrt_binary64_12035`
29×	`*-un-lft-identity_binary64_12013`
19×	`add-cube-cbrt_binary64_12048`
18×	`times-frac_binary64_12019`
13×	`add-cbrt-cube_binary64_12049` `add-exp-log_binary64_12051`
7×	`pow1_binary64_12074`
6×	`add-log-exp_binary64_12052` `associate-/r_binary64_11957` `associate-/l_binary64_11958`
5×	`difference-of-squares_binary64_11982` `distribute-lft-out--_binary64_11965`
4×	`div-exp_binary64_12064`
3×	`cancel-sign-sub-inv_binary64_11979` `associate-l_binary64_11954` `cbrt-undiv_binary64_12047` `associate-r_binary64_11953`
2×	`associate-/r/_binary64_11959` `clear-num_binary64_12012` `flip3--_binary64_12017` `div-inv_binary64_12010` `flip--_binary64_11988` `frac-2neg_binary64_12024` `cbrt-unprod_binary64_12046` `prod-exp_binary64_12062`
1×	`rec-exp_binary64_12063` `*-commutative_binary64_11944` `pow-flip_binary64_12087` `unswap-sqr_binary64_11981` `pow-prod-down_binary64_12084` `inv-pow_binary64_12098` `diff-log_binary64_12105` `1-exp_binary64_12057` `sub-neg_binary64_12006`

Counts

4 → 96

Calls

4 calls:

9.0ms	(/.f64 1 (-.f64 (/.f64 (exp.f64 z) (*.f64 y 4503599627370496/5081767996463981)) x))
8.0ms	(-.f64 (/.f64 (exp.f64 z) (*.f64 y 4503599627370496/5081767996463981)) x)
5.0ms	(/.f64 (exp.f64 z) (*.f64 y 4503599627370496/5081767996463981))
4.0ms	(*.f64 y 4503599627370496/5081767996463981)

series163.0ms (6.6%)

Counts

4 → 12

Calls

4 calls:

84.0ms	(/.f64 1 (-.f64 (/.f64 (exp.f64 z) (*.f64 y 4503599627370496/5081767996463981)) x))
45.0ms	(-.f64 (/.f64 (exp.f64 z) (*.f64 y 4503599627370496/5081767996463981)) x)
23.0ms	(/.f64 (exp.f64 z) (*.f64 y 4503599627370496/5081767996463981))
10.0ms	(*.f64 y 4503599627370496/5081767996463981)

simplify77.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4977	1681
1	4977	1681

prune94.0ms (3.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	108	2	110

Error

Counts

110 → 2

Compiler

Compiled 1924 to 1192 computations (38% saved)

localize10.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(exp.f64 (+.f64 z (log.f64 5081767996463981/4503599627370496)))
0.0b	(+.f64 z (log.f64 5081767996463981/4503599627370496))
0.4b	(-.f64 (exp.f64 (+.f64 z (log.f64 5081767996463981/4503599627370496))) (*.f64 x y))
8.3b	(/.f64 y (-.f64 (exp.f64 (+.f64 z (log.f64 5081767996463981/4503599627370496))) (*.f64 x y)))

rewrite28.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`*-un-lft-identity_binary64_12013`
14×	`add-sqr-sqrt_binary64_12035` `add-cube-cbrt_binary64_12048`
9×	`times-frac_binary64_12019` `add-log-exp_binary64_12052`
6×	`add-cbrt-cube_binary64_12049` `add-exp-log_binary64_12051` `pow1_binary64_12074`
5×	`exp-prod_binary64_12065`
4×	`distribute-lft-out_binary64_11964`
3×	`associate-+r+_binary64_11945` `associate-/r_binary64_11957` `log-prod_binary64_12099` `associate-/l_binary64_11958`
2×	`associate-/r/_binary64_11959` `sum-log_binary64_12104` `rem-exp-log_binary64_12053` `flip3--_binary64_12017` `log-pow_binary64_12102` `flip--_binary64_11988`
1×	`+-commutative_binary64_11943` `cancel-sign-sub-inv_binary64_11979` `exp-sum_binary64_12059` `flip3-+_binary64_12016` `clear-num_binary64_12012` `div-exp_binary64_12064` `div-inv_binary64_12010` `flip-+_binary64_11987` `cbrt-undiv_binary64_12047` `diff-log_binary64_12105` `frac-2neg_binary64_12024` `sub-neg_binary64_12006`

Counts

4 → 72

Calls

4 calls:

8.0ms	(/.f64 y (-.f64 (exp.f64 (+.f64 z (log.f64 5081767996463981/4503599627370496))) (*.f64 x y)))
6.0ms	(-.f64 (exp.f64 (+.f64 z (log.f64 5081767996463981/4503599627370496))) (*.f64 x y))
5.0ms	(exp.f64 (+.f64 z (log.f64 5081767996463981/4503599627370496)))
4.0ms	(+.f64 z (log.f64 5081767996463981/4503599627370496))

series242.0ms (9.8%)

Counts

4 → 12

Calls

4 calls:

122.0ms	(/.f64 y (-.f64 (exp.f64 (+.f64 z (log.f64 5081767996463981/4503599627370496))) (*.f64 x y)))
63.0ms	(-.f64 (exp.f64 (+.f64 z (log.f64 5081767996463981/4503599627370496))) (*.f64 x y))
47.0ms	(+.f64 z (log.f64 5081767996463981/4503599627370496))
10.0ms	(exp.f64 (+.f64 z (log.f64 5081767996463981/4503599627370496)))

simplify78.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5156	1322

prune74.0ms (3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	84	2	86

Error

Counts

86 → 2

Compiler

Compiled 1562 to 835 computations (46.5% saved)

regimes128.0ms (5.2%)

Accuracy

Total 0.0b remaining (96.2%)

Threshold costs 0.0b (96.2%)

Compiler

Compiled 1257 to 944 computations (24.9% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	18
1	24	18

end0.0ms (0%)

sample720.0ms (29.3%)

Algorithm

1×

intervals

Results

323.0ms

8000×

body

128

valid

Compiler

Compiled 213 to 164 computations (23% saved)

Details

analyze212.0ms (8.6%)

sample19.0ms (0.8%)

simplify235.0ms (9.6%)

prune2.0ms (0.1%)

localize8.0ms (0.3%)

rewrite21.0ms (0.9%)

series161.0ms (6.5%)

simplify69.0ms (2.8%)

prune73.0ms (3%)

localize9.0ms (0.4%)

rewrite32.0ms (1.3%)

series163.0ms (6.6%)

simplify77.0ms (3.1%)

prune94.0ms (3.8%)

localize10.0ms (0.4%)

rewrite28.0ms (1.1%)

series242.0ms (9.8%)

simplify78.0ms (3.2%)

prune74.0ms (3%)

regimes128.0ms (5.2%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample720.0ms (29.3%)

Profiling