Details

analyze236.0ms (5.7%)

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
37.5%	62.4%	0.1%	5
62.4%	37.5%	0.1%	6
87.4%	12.5%	0.1%	7
87.4%	12.5%	0.1%	8
93.7%	6.2%	0.1%	9
93.7%	6.2%	0.1%	10
96.8%	3.1%	0.1%	11
96.8%	3.1%	0.1%	12
98.3%	1.6%	0.1%	13
98.3%	1.6%	0.1%	14

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample16.0ms (0.4%)

Algorithm

1×

intervals

Results

7.0ms

256×

body

128

valid

Compiler

Compiled 17 to 15 computations (11.8% saved)

simplify238.0ms (5.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	756	10
1	756	10

prune7.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.0b

Counts

2 → 1

Compiler

Compiled 29 to 21 computations (27.6% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(/.f64 (+.f64 f n) (-.f64 n f))

rewrite15.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

34×	`*-un-lft-identity_binary64`
22×	`add-sqr-sqrt_binary64`
20×	`times-frac_binary64`
12×	`add-cube-cbrt_binary64`
6×	`distribute-lft-out_binary64`
5×	`associate-/r*_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`
4×	`associate-/l*_binary64`
3×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
2×	`associate-/l/_binary64` `associate-/r/_binary64`
1×	`flip3-+_binary64` `add-log-exp_binary64` `pow1_binary64` `flip3--_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `flip--_binary64` `flip-+_binary64`

Counts

1 → 45

Calls

1 calls:

10.0ms

(/.f64 (+.f64 f n) (-.f64 n f))

series95.0ms (2.3%)

Counts

1 → 3

Calls

1 calls:

95.0ms

(/.f64 (+.f64 f n) (-.f64 n f))

simplify65.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5253	802

prune46.0ms (1.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	46	2	48
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	46	3	49

Merged error: 0.0b

Counts

49 → 3

Compiler

Compiled 811 to 235 computations (71% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))
0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
0.0b	(pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3)

rewrite57.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

150×	`*-un-lft-identity_binary64`
100×	`times-frac_binary64`
98×	`add-sqr-sqrt_binary64`
58×	`cbrt-prod_binary64`
56×	`add-cube-cbrt_binary64`
52×	`unpow-prod-down_binary64` `cube-prod_binary64`
26×	`distribute-lft-out_binary64`
21×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
10×	`associate-/r/_binary64`
8×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`associate-/r*_binary64` `flip3--_binary64` `div-inv_binary64` `flip--_binary64`
4×	`pow1_binary64` `associate-/l*_binary64`
3×	`pow-unpow_binary64` `add-log-exp_binary64`
2×	`associate-/l/_binary64` `cbrt-undiv_binary64` `sqr-pow_binary64` `cube-div_binary64` `rem-cube-cbrt_binary64` `div-exp_binary64` `pow-exp_binary64` `unpow3_binary64` `cube-mult_binary64`
1×	`cbrt-div_binary64` `pow-to-exp_binary64` `flip3-+_binary64` `rem-cbrt-cube_binary64` `pow1/3_binary64` `pow-pow_binary64` `clear-num_binary64` `frac-2neg_binary64` `flip-+_binary64`

Counts

3 → 185

Calls

3 calls:

16.0ms	(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))
12.0ms	(pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3)
8.0ms	(/.f64 (+.f64 f n) (-.f64 n f))

series317.0ms (7.7%)

Counts

3 → 9

Calls

3 calls:

127.0ms	(pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3)
102.0ms	(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))
88.0ms	(/.f64 (+.f64 f n) (-.f64 n f))

simplify68.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

194 → 194

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5450	3740

prune148.0ms (3.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	193	1	194
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	194	3	197

Merged error: 0b

Counts

197 → 3

Compiler

Compiled 3189 to 1038 computations (67.5% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
0.0b	(cbrt.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3) 3))
0.0b	(pow.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3) 3)
0.0b	(pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3)

rewrite123.0ms (3%)

Algorithm

1×	rewrite-expression-head

Rules

324×	`*-un-lft-identity_binary64`
246×	`unpow-prod-down_binary64` `cube-prod_binary64`
220×	`times-frac_binary64`
212×	`add-sqr-sqrt_binary64`
122×	`add-cube-cbrt_binary64` `cbrt-prod_binary64`
56×	`distribute-lft-out_binary64`
45×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
22×	`associate-/r/_binary64`
13×	`add-exp-log_binary64`
11×	`flip3--_binary64` `div-inv_binary64` `flip--_binary64`
10×	`add-cbrt-cube_binary64`
8×	`pow-exp_binary64`
7×	`sqr-pow_binary64` `unpow3_binary64` `cube-mult_binary64`
6×	`pow-unpow_binary64`
5×	`associate-/r*_binary64` `pow1_binary64` `cube-div_binary64`
4×	`add-log-exp_binary64` `associate-/l*_binary64`
3×	`pow-to-exp_binary64` `rem-cube-cbrt_binary64` `div-exp_binary64`
2×	`associate-/l/_binary64` `cbrt-undiv_binary64` `pow-pow_binary64`
1×	`cbrt-div_binary64` `flip3-+_binary64` `rem-cbrt-cube_binary64` `pow1/3_binary64` `clear-num_binary64` `frac-2neg_binary64` `flip-+_binary64`

Counts

4 → 386

Calls

4 calls:

29.0ms	(cbrt.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3) 3))
20.0ms	(pow.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3) 3)
12.0ms	(pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3)
9.0ms	(/.f64 (+.f64 f n) (-.f64 n f))

series520.0ms (12.6%)

Counts

4 → 12

Calls

4 calls:

157.0ms	(pow.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3) 3)
140.0ms	(cbrt.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3) 3))
131.0ms	(pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3)
92.0ms	(/.f64 (+.f64 f n) (-.f64 n f))

simplify150.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

398 → 398

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5157	9229

prune414.0ms (10.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	398	0	398
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	398	3	401

Merged error: 0b

Counts

401 → 3

Compiler

Compiled 7973 to 3542 computations (55.6% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (+.f64 f n))
0.5b	(cbrt.f64 (+.f64 f n))
0.5b	(cbrt.f64 (+.f64 f n))
0.5b	(*.f64 (cbrt.f64 (+.f64 f n)) (cbrt.f64 (+.f64 f n)))

rewrite31.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`cbrt-prod_binary64`
35×	`*-un-lft-identity_binary64`
23×	`add-sqr-sqrt_binary64`
18×	`cbrt-div_binary64`
15×	`add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`flip3-+_binary64` `swap-sqr_binary64` `distribute-lft-out_binary64` `pow1/3_binary64` `flip-+_binary64`
7×	`associate-r_binary64` `associate-l_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64` `frac-times_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `associate-r/_binary64` `pow-sqr_binary64` `associate-l/_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 95

Calls

4 calls:

12.0ms	(*.f64 (cbrt.f64 (+.f64 f n)) (cbrt.f64 (+.f64 f n)))
3.0ms	(cbrt.f64 (+.f64 f n))
3.0ms	(cbrt.f64 (+.f64 f n))
3.0ms	(cbrt.f64 (+.f64 f n))

series934.0ms (22.7%)

Counts

4 → 12

Calls

4 calls:

276.0ms	(*.f64 (cbrt.f64 (+.f64 f n)) (cbrt.f64 (+.f64 f n)))
228.0ms	(cbrt.f64 (+.f64 f n))
217.0ms	(cbrt.f64 (+.f64 f n))
212.0ms	(cbrt.f64 (+.f64 f n))

simplify79.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4893	1508
1	4893	1508

prune90.0ms (2.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	107	3	110

Merged error: 0b

Counts

110 → 3

Compiler

Compiled 2535 to 579 computations (77.2% saved)

regimes21.0ms (0.5%)

Compiler: Compiled 80 to 56 computations (30% saved)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	10
1	17	10

end0.0ms (0%)

sample413.0ms (10%)

Algorithm

1×

intervals

Results

210.0ms

8000×

body

128

valid

Compiler

Compiled 54 to 38 computations (29.6% saved)

Details

analyze236.0ms (5.7%)

sample16.0ms (0.4%)

simplify238.0ms (5.8%)

prune7.0ms (0.2%)

localize6.0ms (0.2%)

rewrite15.0ms (0.4%)

series95.0ms (2.3%)

simplify65.0ms (1.6%)

prune46.0ms (1.1%)

localize7.0ms (0.2%)

rewrite57.0ms (1.4%)

series317.0ms (7.7%)

simplify68.0ms (1.7%)

prune148.0ms (3.6%)

localize10.0ms (0.2%)

rewrite123.0ms (3%)

series520.0ms (12.6%)

simplify150.0ms (3.6%)

prune414.0ms (10.1%)

localize9.0ms (0.2%)

rewrite31.0ms (0.8%)

series934.0ms (22.7%)

simplify79.0ms (1.9%)

prune90.0ms (2.2%)

regimes21.0ms (0.5%)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample413.0ms (10%)

Profiling