Details

analyze402.0ms (8.1%)

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
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)

sample36.0ms (0.7%)

Algorithm

1×

intervals

Results

22.0ms

256×

body

128

valid

Compiler

Compiled 25 to 24 computations (4% saved)

simplify387.0ms (7.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (236.0ms)

Iter	Nodes	Cost
0	5305	18

prune5.0ms (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: 3.8b

Counts

2 → 1

Compiler

Compiled 24 to 20 computations (16.7% saved)

localize17.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b

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

0.8b

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

8.0b

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

rewrite44.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`add-sqr-sqrt_binary64_13058`
13×	`*-un-lft-identity_binary64_13036` `add-cube-cbrt_binary64_13071`
9×	`times-frac_binary64_13042`
7×	`add-cbrt-cube_binary64_13072`
6×	`add-exp-log_binary64_13074`
5×	`add-log-exp_binary64_13075` `pow1_binary64_13097`
3×	`associate-r_binary64_12976` `associate-l_binary64_12977` `associate-/r_binary64_12980` `associate-/l_binary64_12981`
2×	`flip--_binary64_13011` `associate-/r/_binary64_12982` `flip3--_binary64_13040`
1×	`clear-num_binary64_13035` `cbrt-undiv_binary64_13070` `unswap-sqr_binary64_13004` `div-inv_binary64_13033` `sub-neg_binary64_13029` `div-exp_binary64_13087` `prod-exp_binary64_13085` `cancel-sign-sub-inv_binary64_13002` `diff-log_binary64_13128` `*-commutative_binary64_12967` `frac-2neg_binary64_13047` `pow-prod-down_binary64_13107` `cbrt-unprod_binary64_13069`

Counts

3 → 59

Calls

3 calls:

14.0ms

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

11.0ms

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

10.0ms

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

series306.0ms (6.2%)

Counts

3 → 9

Calls

3 calls:

189.0ms

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

93.0ms

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

23.0ms

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

simplify125.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (91.0ms)

Iter	Nodes	Cost
0	5481	1190

prune133.0ms (2.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	66	2	68
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	66	3	69

Merged error: 0b

Counts

69 → 3

Compiler

Compiled 1296 to 645 computations (50.2% saved)

localize18.0ms (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))
0.2b	(*.f64 y 4503599627370496/5081767996463981)

rewrite65.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`add-sqr-sqrt_binary64_13058`
29×	`*-un-lft-identity_binary64_13036`
19×	`add-cube-cbrt_binary64_13071`
18×	`times-frac_binary64_13042`
13×	`add-cbrt-cube_binary64_13072` `add-exp-log_binary64_13074`
7×	`pow1_binary64_13097`
6×	`add-log-exp_binary64_13075` `associate-/r_binary64_12980` `associate-/l_binary64_12981`
5×	`distribute-lft-out--_binary64_12988` `difference-of-squares_binary64_13005`
4×	`div-exp_binary64_13087`
3×	`associate-r_binary64_12976` `cbrt-undiv_binary64_13070` `associate-l_binary64_12977` `cancel-sign-sub-inv_binary64_13002`
2×	`flip--_binary64_13011` `clear-num_binary64_13035` `div-inv_binary64_13033` `associate-/r/_binary64_12982` `flip3--_binary64_13040` `prod-exp_binary64_13085` `frac-2neg_binary64_13047` `cbrt-unprod_binary64_13069`
1×	`inv-pow_binary64_13121` `unswap-sqr_binary64_13004` `sub-neg_binary64_13029` `pow-flip_binary64_13110` `rec-exp_binary64_13086` `diff-log_binary64_13128` `*-commutative_binary64_12967` `1-exp_binary64_13080` `pow-prod-down_binary64_13107`

Counts

4 → 96

Calls

4 calls:

18.0ms	(/.f64 1 (-.f64 (/.f64 (exp.f64 z) (*.f64 y 4503599627370496/5081767996463981)) x))
15.0ms	(-.f64 (/.f64 (exp.f64 z) (*.f64 y 4503599627370496/5081767996463981)) x)
10.0ms	(/.f64 (exp.f64 z) (*.f64 y 4503599627370496/5081767996463981))
7.0ms	(*.f64 y 4503599627370496/5081767996463981)

series298.0ms (6%)

Counts

4 → 12

Calls

4 calls:

162.0ms	(/.f64 1 (-.f64 (/.f64 (exp.f64 z) (*.f64 y 4503599627370496/5081767996463981)) x))
81.0ms	(-.f64 (/.f64 (exp.f64 z) (*.f64 y 4503599627370496/5081767996463981)) x)
36.0ms	(/.f64 (exp.f64 z) (*.f64 y 4503599627370496/5081767996463981))
19.0ms	(*.f64 y 4503599627370496/5081767996463981)

simplify128.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (89.0ms)

Iter	Nodes	Cost
0	4977	1681
1	4977	1681

prune179.0ms (3.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	108	3	111

Merged error: 0b

Counts

111 → 3

Compiler

Compiled 1925 to 1193 computations (38% saved)

localize20.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 5081767996463981/4503599627370496 (exp.f64 z))
0.3b	(/.f64 1 (-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 y x)))
0.8b	(-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 y x))
7.8b	(.f64 y (/.f64 1 (-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (*.f64 y x))))

rewrite81.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`add-sqr-sqrt_binary64_13058`
23×	`*-un-lft-identity_binary64_13036`
22×	`add-cube-cbrt_binary64_13071`
20×	`times-frac_binary64_13042`
18×	`associate-r_binary64_12976` `add-exp-log_binary64_13074`
13×	`add-cbrt-cube_binary64_13072`
9×	`pow1_binary64_13097`
6×	`add-log-exp_binary64_13075` `associate-l_binary64_12977`
5×	`prod-exp_binary64_13085`
4×	`unswap-sqr_binary64_13004` `associate-/r/_binary64_12982` `div-exp_binary64_13087`
3×	`flip--_binary64_13011` `flip3--_binary64_13040` `associate-/r_binary64_12980` `associate-/l_binary64_12981` `cbrt-unprod_binary64_13069`
2×	`cbrt-undiv_binary64_13070` `div-inv_binary64_13033` `rec-exp_binary64_13086` `*-commutative_binary64_12967` `1-exp_binary64_13080` `pow-prod-down_binary64_13107`
1×	`inv-pow_binary64_13121` `clear-num_binary64_13035` `sub-neg_binary64_13029` `pow-flip_binary64_13110` `un-div-inv_binary64_13034` `cancel-sign-sub-inv_binary64_13002` `diff-log_binary64_13128` `associate-*r/_binary64_12978` `frac-2neg_binary64_13047`

Counts

4 → 101

Calls

4 calls:

25.0ms	(.f64 y (/.f64 1 (-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (*.f64 y x))))
14.0ms	(/.f64 1 (-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 y x)))
10.0ms	(*.f64 5081767996463981/4503599627370496 (exp.f64 z))
10.0ms	(-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 y x))

series406.0ms (8.2%)

Counts

4 → 12

Calls

4 calls:

168.0ms	(.f64 y (/.f64 1 (-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (*.f64 y x))))
141.0ms	(/.f64 1 (-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 y x)))
80.0ms	(-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 y x))
17.0ms	(*.f64 5081767996463981/4503599627370496 (exp.f64 z))

simplify138.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (95.0ms)

Iter	Nodes	Cost
0	5658	1986

prune200.0ms (4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

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

Merged error: 0b

Counts

116 → 3

Compiler

Compiled 2322 to 1244 computations (46.4% saved)

regimes289.0ms (5.8%)

Compiler: Compiled 1452 to 1095 computations (24.6% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	18
1	24	18

end0.0ms (0%)

sample1.7s (33.7%)

Algorithm

1×

intervals

Results

584.0ms	8000×	body	128	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 239 to 184 computations (23% saved)

Details

analyze402.0ms (8.1%)

sample36.0ms (0.7%)

simplify387.0ms (7.8%)

prune5.0ms (0.1%)

localize17.0ms (0.3%)

rewrite44.0ms (0.9%)

series306.0ms (6.2%)

simplify125.0ms (2.5%)

prune133.0ms (2.7%)

localize18.0ms (0.4%)

rewrite65.0ms (1.3%)

series298.0ms (6%)

simplify128.0ms (2.6%)

prune179.0ms (3.6%)

localize20.0ms (0.4%)

rewrite81.0ms (1.6%)

series406.0ms (8.2%)

simplify138.0ms (2.8%)

prune200.0ms (4%)

regimes289.0ms (5.8%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.7s (33.7%)

Profiling