Details

analyze36.0ms (2.2%)

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
59.3%	40.6%	0.1%	6
76.5%	23.4%	0.1%	7
82%	18%	0.1%	8
87.8%	12.1%	0.1%	9
90.7%	9.2%	0.1%	10
93.8%	6.1%	0.1%	11
95.3%	4.6%	0.1%	12
96.8%	3.1%	0.1%	13
97.6%	2.3%	0.1%	14

Compiler

Compiled 8 to 6 computations (25% saved)

sample15.0ms (0.9%)

Algorithm

1×

intervals

Results

9.0ms

256×

body

valid

Compiler

Compiled 15 to 13 computations (13.3% saved)

simplify76.0ms (4.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	783	10
1	783	10

prune3.0ms (0.2%)

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 14 to 10 computations (28.6% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(/.f64 (-.f64 x y) (+.f64 x y))

rewrite10.0ms (0.6%)

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×	`difference-of-squares_binary64` `associate-/l*_binary64` `distribute-lft-out--_binary64`
4×	`associate-/r*_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` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `flip--_binary64` `flip-+_binary64`

Counts

1 → 46

Calls

1 calls:

8.0ms

(/.f64 (-.f64 x y) (+.f64 x y))

series9.0ms (0.6%)

Counts

1 → 3

Calls

1 calls:

9.0ms

(/.f64 (-.f64 x y) (+.f64 x y))

simplify57.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5065	810

prune32.0ms (1.9%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	45	4	49
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	46	4	50

Merged error: 0b

Counts

50 → 4

Compiler

Compiled 722 to 163 computations (77.4% saved)

localize5.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y)))
0.0b	(/.f64 y (+.f64 x y))
0.0b	(/.f64 x (+.f64 x y))

rewrite39.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Rules

63×	`*-un-lft-identity_binary64`
40×	`times-frac_binary64`
35×	`add-sqr-sqrt_binary64`
23×	`add-cube-cbrt_binary64`
12×	`distribute-lft-out_binary64`
8×	`associate-/r*_binary64` `associate-/r/_binary64`
7×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `distribute-lft-out--_binary64`
6×	`associate-/l*_binary64`
5×	`add-log-exp_binary64`
4×	`flip3-+_binary64` `difference-of-squares_binary64` `div-inv_binary64` `flip-+_binary64`
3×	`pow1_binary64` `distribute-rgt-out--_binary64`
2×	`cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-exp_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `sub-div_binary64` `flip--_binary64` `frac-sub_binary64`

Counts

3 → 93

Calls

3 calls:

24.0ms	(-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y)))
6.0ms	(/.f64 y (+.f64 x y))
5.0ms	(/.f64 x (+.f64 x y))

series24.0ms (1.5%)

Counts

3 → 9

Calls

3 calls:

13.0ms	(-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y)))
6.0ms	(/.f64 x (+.f64 x y))
6.0ms	(/.f64 y (+.f64 x y))

simplify76.0ms (4.6%)

Algorithm

1×	egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5555	1528

prune46.0ms (2.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	102	0	102
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	102	4	106

Merged error: 0b

Counts

106 → 4

Compiler

Compiled 1769 to 353 computations (80% saved)

localize8.0ms (0.5%)

Local error

Found 3 expressions with local error:

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

rewrite51.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Rules

93×	`*-un-lft-identity_binary64`
61×	`add-sqr-sqrt_binary64`
60×	`times-frac_binary64`
52×	`exp-prod_binary64`
35×	`add-cube-cbrt_binary64`
27×	`log-pow_binary64`
16×	`distribute-lft-out_binary64`
13×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
6×	`associate-/r/_binary64`
5×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-/l*_binary64`
4×	`associate-/r*_binary64` `add-log-exp_binary64` `pow1_binary64`
3×	`flip3-+_binary64` `log-prod_binary64` `div-sub_binary64` `div-inv_binary64` `flip-+_binary64`
2×	`associate-/l/_binary64` `exp-diff_binary64`
1×	`flip3--_binary64` `cbrt-undiv_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-exp_binary64` `log-div_binary64` `flip--_binary64`

Counts

3 → 120

Calls

3 calls:

22.0ms	(log.f64 (exp.f64 (/.f64 (-.f64 x y) (+.f64 x y))))
14.0ms	(/.f64 (-.f64 x y) (+.f64 x y))
9.0ms	(exp.f64 (/.f64 (-.f64 x y) (+.f64 x y)))

series31.0ms (1.9%)

Counts

3 → 9

Calls

3 calls:

13.0ms	(exp.f64 (/.f64 (-.f64 x y) (+.f64 x y)))
9.0ms	(log.f64 (exp.f64 (/.f64 (-.f64 x y) (+.f64 x y))))
9.0ms	(/.f64 (-.f64 x y) (+.f64 x y))

simplify126.0ms (7.6%)

Algorithm

1×	egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (100.0ms)

Iter	Nodes	Cost
0	4928	1811
1	4928	1811

prune56.0ms (3.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	129	0	129
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	129	4	133

Merged error: 0b

Counts

133 → 4

Compiler

Compiled 2026 to 404 computations (80.1% saved)

localize7.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 x y) (+.f64 x y))
0.0b	(cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 3))
0.0b	(pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 3)

rewrite41.0ms (2.5%)

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×	`flip3-+_binary64` `associate-/l*_binary64` `div-inv_binary64` `flip-+_binary64`
4×	`associate-/r*_binary64` `pow1_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` `rem-cbrt-cube_binary64` `flip3--_binary64` `pow1/3_binary64` `pow-pow_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `flip--_binary64`

Counts

3 → 186

Calls

3 calls:

12.0ms	(pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 3)
11.0ms	(cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 3))
8.0ms	(/.f64 (-.f64 x y) (+.f64 x y))

series40.0ms (2.4%)

Counts

3 → 9

Calls

3 calls:

17.0ms	(pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 3)
14.0ms	(cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 3))
9.0ms	(/.f64 (-.f64 x y) (+.f64 x y))

simplify109.0ms (6.6%)

Algorithm

1×	egg-herbie

Counts

195 → 195

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5159	3779

prune96.0ms (5.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	195	0	195
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	195	4	199

Merged error: 0b

Counts

199 → 4

Compiler

Compiled 3140 to 945 computations (69.9% saved)

regimes90.0ms (5.4%)

Compiler: Compiled 245 to 138 computations (43.7% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	25	16
1	25	16

end0.0ms (0%)

sample562.0ms (34%)

Algorithm

1×

intervals

Results

164.0ms

8000×

body

valid

Compiler

Compiled 86 to 49 computations (43% saved)

Details

analyze36.0ms (2.2%)

sample15.0ms (0.9%)

simplify76.0ms (4.6%)

prune3.0ms (0.2%)

localize4.0ms (0.2%)

rewrite10.0ms (0.6%)

series9.0ms (0.6%)

simplify57.0ms (3.4%)

prune32.0ms (1.9%)

localize5.0ms (0.3%)

rewrite39.0ms (2.3%)

series24.0ms (1.5%)

simplify76.0ms (4.6%)

prune46.0ms (2.8%)

localize8.0ms (0.5%)

rewrite51.0ms (3.1%)

series31.0ms (1.9%)

simplify126.0ms (7.6%)

prune56.0ms (3.4%)

localize7.0ms (0.4%)

rewrite41.0ms (2.5%)

series40.0ms (2.4%)

simplify109.0ms (6.6%)

prune96.0ms (5.8%)

regimes90.0ms (5.4%)

bsearch0.0ms (0%)

simplify4.0ms (0.3%)

end0.0ms (0%)

sample562.0ms (34%)

Profiling