Details

analyze429.0ms (11.9%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4862	72
1	4862	72
0	3	3
1	3	3

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)

sample18.0ms (0.5%)

Algorithm

1×

intervals

Results

10.0ms

256×

body

128

valid

Compiler

Compiled 25 to 24 computations (4% saved)

simplify134.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (128.0ms)

Iter	Nodes	Cost
0	5305	18

prune3.0ms (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

3.7b

Counts

2 → 1

Compiler

Compiled 24 to 20 computations (16.7% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b

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

1.4b

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

6.6b

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

rewrite31.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`*-un-lft-identity_binary64_8944`
11×	`add-cube-cbrt_binary64_8979` `add-sqr-sqrt_binary64_8966`
9×	`times-frac_binary64_8950`
7×	`add-log-exp_binary64_8983`
5×	`add-cbrt-cube_binary64_8980` `add-exp-log_binary64_8982`
3×	`pow1_binary64_9005` `associate-/r_binary64_8888` `associate-/l_binary64_8889`
2×	`associate-/r/_binary64_8890` `flip3--_binary64_8948` `flip--_binary64_8919`
1×	`flip3-+_binary64_8947` `+-commutative_binary64_8874` `div-exp_binary64_8995` `clear-num_binary64_8943` `frac-2neg_binary64_8955` `diff-log_binary64_9036` `distribute-lft-out_binary64_8895` `sum-log_binary64_9035` `sub-neg_binary64_8937` `cancel-sign-sub-inv_binary64_8910` `div-inv_binary64_8941` `flip-+_binary64_8918` `cbrt-undiv_binary64_8978`

Counts

3 → 53

Calls

3 calls:

11.0ms

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

7.0ms

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

5.0ms

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

series197.0ms (5.5%)

Counts

3 → 9

Calls

3 calls:

100.0ms

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

51.0ms

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

47.0ms

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

simplify75.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5414	1359

prune67.0ms (1.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	59	3	62
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	59	4	63

Error

Counts

63 → 4

Compiler

Compiled 1261 to 634 computations (49.7% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite45.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

29×	`*-un-lft-identity_binary64_8944`
28×	`add-sqr-sqrt_binary64_8966`
18×	`times-frac_binary64_8950` `add-cube-cbrt_binary64_8979`
13×	`add-cbrt-cube_binary64_8980` `add-exp-log_binary64_8982`
7×	`pow1_binary64_9005`
6×	`associate-/r_binary64_8888` `associate-/l_binary64_8889` `add-log-exp_binary64_8983`
4×	`div-exp_binary64_8995` `distribute-lft-out--_binary64_8896` `difference-of-squares_binary64_8913`
3×	`associate-l_binary64_8885` `associate-r_binary64_8884` `div-inv_binary64_8941` `cbrt-undiv_binary64_8978`
2×	`associate-/r/_binary64_8890` `clear-num_binary64_8943` `prod-exp_binary64_8993` `frac-2neg_binary64_8955` `distribute-lft-out_binary64_8895` `cbrt-unprod_binary64_8977`
1×	`inv-pow_binary64_9029` `flip3-+_binary64_8947` `+-commutative_binary64_8874` `flip3--_binary64_8948` `flip--_binary64_8919` `rec-exp_binary64_8994` `*-commutative_binary64_8875` `sum-log_binary64_9035` `unswap-sqr_binary64_8912` `pow-prod-down_binary64_9015` `flip-+_binary64_8918` `pow-flip_binary64_9018` `1-exp_binary64_8988`

Counts

4 → 93

Calls

4 calls:

16.0ms	(+.f64 x (/.f64 1 (-.f64 (/.f64 (exp.f64 z) (*.f64 y 4503599627370496/5081767996463981)) x)))
10.0ms	(/.f64 1 (-.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)

series157.0ms (4.4%)

Counts

4 → 12

Calls

4 calls:

83.0ms	(/.f64 1 (-.f64 (/.f64 (exp.f64 z) (*.f64 y 4503599627370496/5081767996463981)) x))
42.0ms	(+.f64 x (/.f64 1 (-.f64 (/.f64 (exp.f64 z) (*.f64 y 4503599627370496/5081767996463981)) x)))
21.0ms	(/.f64 (exp.f64 z) (*.f64 y 4503599627370496/5081767996463981))
11.0ms	(*.f64 y 4503599627370496/5081767996463981)

simplify77.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5024	1734

prune98.0ms (2.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	105	0	105
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	105	4	109

Error

Counts

109 → 4

Compiler

Compiled 1895 to 1187 computations (37.4% saved)

localize15.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.2b	(pow.f64 (/.f64 y (-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 y x))) 3)
1.4b	(-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 y x))
6.6b	(/.f64 y (-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 y x)))
26.9b	(cbrt.f64 (pow.f64 (/.f64 y (-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 y x))) 3))

rewrite44.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

45×	`times-frac_binary64_8950`
42×	`add-cube-cbrt_binary64_8979` `*-un-lft-identity_binary64_8944` `add-sqr-sqrt_binary64_8966`
36×	`cbrt-prod_binary64_8975`
30×	`cube-prod_binary64_8972` `unpow-prod-down_binary64_9023`
10×	`associate-/r/_binary64_8890`
9×	`add-cbrt-cube_binary64_8980` `add-exp-log_binary64_8982`
6×	`flip3--_binary64_8948` `flip--_binary64_8919` `add-log-exp_binary64_8983`
5×	`pow1_binary64_9005` `div-inv_binary64_8941`
3×	`associate-/r_binary64_8888` `associate-/l_binary64_8889` `pow-unpow_binary64_9021`
2×	`sqr-pow_binary64_8916` `rem-cube-cbrt_binary64_8967` `div-exp_binary64_8995` `cube-mult_binary64_8974` `unpow3_binary64_9010` `pow-exp_binary64_9012` `cube-div_binary64_8973` `cbrt-undiv_binary64_8978`
1×	`pow1/3_binary64_9026` `cbrt-div_binary64_8976` `clear-num_binary64_8943` `rem-cbrt-cube_binary64_8968` `pow-pow_binary64_9016` `frac-2neg_binary64_8955` `pow-to-exp_binary64_9013` `diff-log_binary64_9036` `sub-neg_binary64_8937` `cancel-sign-sub-inv_binary64_8910`

Counts

4 → 137

Calls

4 calls:

10.0ms	(cbrt.f64 (pow.f64 (/.f64 y (-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 y x))) 3))
9.0ms	(pow.f64 (/.f64 y (-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 y x))) 3)
7.0ms	(/.f64 y (-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 y x)))
5.0ms	(-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 y x))

series414.0ms (11.5%)

Counts

4 → 12

Calls

4 calls:

158.0ms	(pow.f64 (/.f64 y (-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 y x))) 3)
122.0ms	(cbrt.f64 (pow.f64 (/.f64 y (-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 y x))) 3))
87.0ms	(/.f64 y (-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 y x)))
46.0ms	(-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 y x))

simplify93.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5122	3795

prune161.0ms (4.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	149	0	149
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	149	4	153

Error

Counts

153 → 4

Compiler

Compiled 3449 to 1835 computations (46.8% saved)

localize13.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.1b	(pow.f64 (+.f64 x (/.f64 y (-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 y x)))) 3)
1.4b	(-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 y x))
6.6b	(/.f64 y (-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 y x)))
35.9b	(cbrt.f64 (pow.f64 (+.f64 x (/.f64 y (-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 y x)))) 3))

rewrite45.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`*-un-lft-identity_binary64_8944`
18×	`add-cube-cbrt_binary64_8979` `add-sqr-sqrt_binary64_8966`
14×	`cbrt-prod_binary64_8975`
9×	`times-frac_binary64_8950`
8×	`cube-prod_binary64_8972` `unpow-prod-down_binary64_9023`
7×	`add-cbrt-cube_binary64_8980` `add-exp-log_binary64_8982`
6×	`add-log-exp_binary64_8983`
5×	`pow1_binary64_9005`
4×	`cube-div_binary64_8973` `distribute-lft-out_binary64_8895`
3×	`associate-/r_binary64_8888` `associate-/l_binary64_8889` `pow-unpow_binary64_9021`
2×	`sqr-pow_binary64_8916` `flip3-+_binary64_8947` `cbrt-div_binary64_8976` `associate-/r/_binary64_8890` `flip3--_binary64_8948` `flip--_binary64_8919` `cube-mult_binary64_8974` `unpow3_binary64_9010` `flip-+_binary64_8918`
1×	`rem-cube-cbrt_binary64_8967` `pow1/3_binary64_9026` `div-exp_binary64_8995` `clear-num_binary64_8943` `rem-cbrt-cube_binary64_8968` `pow-pow_binary64_9016` `frac-2neg_binary64_8955` `pow-to-exp_binary64_9013` `diff-log_binary64_9036` `pow-exp_binary64_9012` `sub-neg_binary64_8937` `cancel-sign-sub-inv_binary64_8910` `div-inv_binary64_8941` `cbrt-undiv_binary64_8978`

Counts

4 → 93

Calls

4 calls:

13.0ms	(pow.f64 (+.f64 x (/.f64 y (-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 y x)))) 3)
12.0ms	(cbrt.f64 (pow.f64 (+.f64 x (/.f64 y (-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 y x)))) 3))
7.0ms	(/.f64 y (-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 y x)))
5.0ms	(-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 y x))

series284.0ms (7.9%)

Counts

4 → 12

Calls

4 calls:

93.0ms	(/.f64 y (-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 y x)))
89.0ms	(pow.f64 (+.f64 x (/.f64 y (-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 y x)))) 3)
53.0ms	(cbrt.f64 (pow.f64 (+.f64 x (/.f64 y (-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 y x)))) 3))
48.0ms	(-.f64 (.f64 5081767996463981/4503599627370496 (exp.f64 z)) (.f64 y x))

simplify74.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4942	2582
1	4942	2582

prune110.0ms (3.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	105	0	105
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	105	4	109

Error

Counts

109 → 4

Compiler

Compiled 2366 to 1289 computations (45.5% saved)

regimes178.0ms (4.9%)

Accuracy

Total 0.0b remaining (96.7%)

Threshold costs 0.0b (96.7%)

Compiler

Compiled 1654 to 1306 computations (21% 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%)

sample820.0ms (22.8%)

Algorithm

1×

intervals

Results

331.0ms

8000×

body

128

valid

Compiler

Compiled 273 to 219 computations (19.8% saved)

Details

analyze429.0ms (11.9%)

sample18.0ms (0.5%)

simplify134.0ms (3.7%)

prune3.0ms (0.1%)

localize8.0ms (0.2%)

rewrite31.0ms (0.9%)

series197.0ms (5.5%)

simplify75.0ms (2.1%)

prune67.0ms (1.9%)

localize8.0ms (0.2%)

rewrite45.0ms (1.2%)

series157.0ms (4.4%)

simplify77.0ms (2.2%)

prune98.0ms (2.7%)

localize15.0ms (0.4%)

rewrite44.0ms (1.2%)

series414.0ms (11.5%)

simplify93.0ms (2.6%)

prune161.0ms (4.5%)

localize13.0ms (0.4%)

rewrite45.0ms (1.3%)

series284.0ms (7.9%)

simplify74.0ms (2.1%)

prune110.0ms (3.1%)

regimes178.0ms (4.9%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample820.0ms (22.8%)

Profiling