Details

analyze285.0ms (5.1%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	188	14
1	188	14
0	2	2
1	2	2

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
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
50%	50%	0.1%	6
59.3%	37.5%	3.2%	7
70.2%	23.4%	6.3%	8
74.1%	17.2%	8.7%	9
79.2%	11.3%	9.5%	10
81%	8.2%	10.8%	11
83.4%	5.6%	11%	12
84.2%	4%	11.8%	13
85.4%	2.8%	11.8%	14

Compiler

Compiled 6 to 5 computations (16.7% saved)

sample22.0ms (0.4%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
0.0ms	5×	body	128	invalid

Compiler

Compiled 11 to 11 computations (0% saved)

simplify22.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (12.0ms)

Iter	Nodes	Cost
0	128	7
1	128	7

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

0.0b

Counts

2 → 1

Compiler

Compiled 10 to 8 computations (20% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(-.f64 (*.f64 x y) x)

rewrite9.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`cancel-sign-sub-inv_binary64_6182` `add-log-exp_binary64_6255`
2×	`*-un-lft-identity_binary64_6216` `add-cube-cbrt_binary64_6251` `add-sqr-sqrt_binary64_6238`
1×	`flip3--_binary64_6220` `diff-log_binary64_6308` `sub-neg_binary64_6209` `flip--_binary64_6191` `add-cbrt-cube_binary64_6252` `pow1_binary64_6277` `add-exp-log_binary64_6254`

Counts

1 → 14

Calls

1 calls:

8.0ms

(-.f64 (*.f64 x y) x)

series104.0ms (1.9%)

Counts

1 → 9

Calls

1 calls:

104.0ms

(-.f64 (*.f64 x y) x)

Compiler

Compiled 73 to 68 computations (6.8% saved)

simplify108.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 0 (95.0ms)

Iter	Nodes	Cost
0	5045	198

prune27.0ms (0.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	21	2	23
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	21	3	24

Error

0.0b

Counts

24 → 3

Compiler

Compiled 210 to 70 computations (66.7% saved)

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (.f64 x (.f64 y y)) x)
2.2b	(.f64 x (-.f64 (.f64 x (*.f64 y y)) x))
8.4b	(.f64 x (.f64 y y))
24.6b	(/.f64 (.f64 x (-.f64 (.f64 x (.f64 y y)) x)) (+.f64 x (.f64 x y)))

rewrite77.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-cbrt-cube_binary64_6252` `add-exp-log_binary64_6254`
15×	`add-sqr-sqrt_binary64_6238`
12×	`*-un-lft-identity_binary64_6216` `add-cube-cbrt_binary64_6251`
11×	`pow1_binary64_6277`
9×	`cancel-sign-sub-inv_binary64_6182`
6×	`associate-l_binary64_6157` `add-log-exp_binary64_6255`
5×	`prod-exp_binary64_6265` `cbrt-unprod_binary64_6249`
4×	`associate-r_binary64_6156` `distribute-rgt-in_binary64_6166` `distribute-lft-in_binary64_6165` `pow-prod-down_binary64_6287` `associate-*r/_binary64_6158`
3×	`associate-/r*_binary64_6160` `flip3--_binary64_6220` `sub-neg_binary64_6209` `flip--_binary64_6191` `times-frac_binary64_6222`
2×	`cbrt-undiv_binary64_6250` `associate-/r/_binary64_6162` `unswap-sqr_binary64_6184` `associate-/l/_binary64_6163` `div-exp_binary64_6267` `*-commutative_binary64_6147`
1×	`div-inv_binary64_6213` `clear-num_binary64_6215` `flip-+_binary64_6190` `diff-log_binary64_6308` `frac-2neg_binary64_6227` `associate-/l*_binary64_6161` `flip3-+_binary64_6219`

Counts

4 → 86

Calls

4 calls:

23.0ms	(/.f64 (.f64 x (-.f64 (.f64 x (.f64 y y)) x)) (+.f64 x (.f64 x y)))
15.0ms	(-.f64 (.f64 x (.f64 y y)) x)
15.0ms	(.f64 x (-.f64 (.f64 x (*.f64 y y)) x))
11.0ms	(.f64 x (.f64 y y))

series733.0ms (13.1%)

Counts

4 → 33

Calls

4 calls:

305.0ms	(/.f64 (.f64 x (-.f64 (.f64 x (.f64 y y)) x)) (+.f64 x (.f64 x y)))
203.0ms	(.f64 x (-.f64 (.f64 x (*.f64 y y)) x))
124.0ms	(-.f64 (.f64 x (.f64 y y)) x)
101.0ms	(.f64 x (.f64 y y))

Compiler

Compiled 743 to 557 computations (25% saved)

simplify110.0ms (2%)

Algorithm

1×	egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4977	1737
1	4977	1737

prune136.0ms (2.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	118	1	119
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	119	3	122

Error

Counts

122 → 3

Compiler

Compiled 2221 to 363 computations (83.7% saved)

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (.f64 (.f64 x y) y) x)
0.1b	(.f64 (.f64 x y) y)
2.2b	(.f64 x (-.f64 (.f64 (*.f64 x y) y) x))
24.6b	(/.f64 (.f64 x (-.f64 (.f64 (.f64 x y) y) x)) (+.f64 x (.f64 x y)))

rewrite73.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-cbrt-cube_binary64_6252` `add-exp-log_binary64_6254`
14×	`add-sqr-sqrt_binary64_6238`
12×	`*-un-lft-identity_binary64_6216` `add-cube-cbrt_binary64_6251`
11×	`pow1_binary64_6277`
9×	`cancel-sign-sub-inv_binary64_6182`
6×	`associate-r_binary64_6156` `add-log-exp_binary64_6255`
5×	`prod-exp_binary64_6265` `cbrt-unprod_binary64_6249`
4×	`distribute-rgt-in_binary64_6166` `distribute-lft-in_binary64_6165` `pow-prod-down_binary64_6287` `associate-r/_binary64_6158` `associate-l*_binary64_6157`
3×	`associate-/r*_binary64_6160` `flip3--_binary64_6220` `sub-neg_binary64_6209` `flip--_binary64_6191` `times-frac_binary64_6222`
2×	`cbrt-undiv_binary64_6250` `associate-/r/_binary64_6162` `associate-/l/_binary64_6163` `div-exp_binary64_6267` `*-commutative_binary64_6147`
1×	`div-inv_binary64_6213` `clear-num_binary64_6215` `unswap-sqr_binary64_6184` `flip-+_binary64_6190` `diff-log_binary64_6308` `frac-2neg_binary64_6227` `associate-/l*_binary64_6161` `flip3-+_binary64_6219`

Counts

4 → 85

Calls

4 calls:

22.0ms	(/.f64 (.f64 x (-.f64 (.f64 (.f64 x y) y) x)) (+.f64 x (.f64 x y)))
17.0ms	(.f64 x (-.f64 (.f64 (*.f64 x y) y) x))
11.0ms	(-.f64 (.f64 (.f64 x y) y) x)
10.0ms	(.f64 (.f64 x y) y)

series729.0ms (13%)

Counts

4 → 33

Calls

4 calls:

316.0ms	(/.f64 (.f64 x (-.f64 (.f64 (.f64 x y) y) x)) (+.f64 x (.f64 x y)))
189.0ms	(.f64 x (-.f64 (.f64 (*.f64 x y) y) x))
127.0ms	(-.f64 (.f64 (.f64 x y) y) x)
97.0ms	(.f64 (.f64 x y) y)

Compiler

Compiled 743 to 557 computations (25% saved)

simplify123.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	5000	1728

prune139.0ms (2.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	118	0	118
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	118	3	121

Error

Counts

121 → 3

Compiler

Compiled 2186 to 351 computations (83.9% saved)

localize27.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.2b	(pow.f64 (*.f64 x y) 3)
4.5b	(-.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 x 3))
8.8b	(.f64 (.f64 x x) (+.f64 y (+.f64 1 (*.f64 y y))))
37.4b	(/.f64 (-.f64 (pow.f64 (.f64 x y) 3) (pow.f64 x 3)) (.f64 (.f64 x x) (+.f64 y (+.f64 1 (.f64 y y)))))

rewrite110.0ms (2%)

Algorithm

1×	rewrite-expression-head

Rules

42×	`add-sqr-sqrt_binary64_6238`
24×	`difference-of-squares_binary64_6185`
21×	`add-cbrt-cube_binary64_6252` `add-exp-log_binary64_6254`
20×	`sqr-pow_binary64_6188`
19×	`*-un-lft-identity_binary64_6216`
13×	`associate-/l*_binary64_6161` `times-frac_binary64_6222`
12×	`cancel-sign-sub-inv_binary64_6182` `pow1_binary64_6277`
11×	`add-cube-cbrt_binary64_6251`
10×	`cube-prod_binary64_6244` `unpow-prod-down_binary64_6295`
7×	`prod-exp_binary64_6265` `cbrt-unprod_binary64_6249`
6×	`add-log-exp_binary64_6255`
4×	`associate-r_binary64_6156` `pow-prod-down_binary64_6287` `associate-*r/_binary64_6158`
3×	`cbrt-undiv_binary64_6250` `distribute-lft-out--_binary64_6168` `difference-cubes_binary64_6218` `div-exp_binary64_6267` `pow-unpow_binary64_6293`
2×	`rem-cube-cbrt_binary64_6239` `cube-mult_binary64_6246` `associate-/r/_binary64_6162` `flip3--_binary64_6220` `flip-+_binary64_6190` `pow-exp_binary64_6284` `associate-/l/_binary64_6163` `unpow3_binary64_6282` `flip--_binary64_6191` `pow-pow_binary64_6288` `flip3-+_binary64_6219`
1×	`div-inv_binary64_6213` `associate-/r_binary64_6160` `clear-num_binary64_6215` `distribute-lft-out_binary64_6167` `distribute-rgt-in_binary64_6166` `pow-to-exp_binary64_6285` `distribute-lft-in_binary64_6165` `unswap-sqr_binary64_6184` `diff-log_binary64_6308` `frac-2neg_binary64_6227` `sub-neg_binary64_6209` `div-sub_binary64_6221` `associate-l_binary64_6157` `-commutative_binary64_6147`

Counts

4 → 127

Calls

4 calls:

40.0ms	(/.f64 (-.f64 (pow.f64 (.f64 x y) 3) (pow.f64 x 3)) (.f64 (.f64 x x) (+.f64 y (+.f64 1 (.f64 y y)))))
20.0ms	(-.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 x 3))
19.0ms	(.f64 (.f64 x x) (+.f64 y (+.f64 1 (*.f64 y y))))
7.0ms	(pow.f64 (*.f64 x y) 3)

series1.2s (21.2%)

Counts

4 → 36

Calls

4 calls:

491.0ms	(/.f64 (-.f64 (pow.f64 (.f64 x y) 3) (pow.f64 x 3)) (.f64 (.f64 x x) (+.f64 y (+.f64 1 (.f64 y y)))))
321.0ms	(-.f64 (pow.f64 (*.f64 x y) 3) (pow.f64 x 3))
237.0ms	(.f64 (.f64 x x) (+.f64 y (+.f64 1 (*.f64 y y))))
137.0ms	(pow.f64 (*.f64 x y) 3)

Compiler

Compiled 1132 to 881 computations (22.2% saved)

simplify184.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

163 → 163

Iterations

Useful iterations: 0 (127.0ms)

Iter	Nodes	Cost
0	5160	3156

prune315.0ms (5.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	163	0	163
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	163	3	166

Error

Counts

166 → 3

Compiler

Compiled 4067 to 2068 computations (49.2% saved)

regimes128.0ms (2.3%)

Accuracy

Total 0.0b remaining (81.9%)

Threshold costs 0.0b (81.9%)

Compiler

Compiled 458 to 316 computations (31% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	7
1	16	7

end0.0ms (0%)

sample909.0ms (16.2%)

Algorithm

1×

intervals

Results

296.0ms	8000×	body	128	valid
3.0ms	76×	body	128	invalid

Compiler

Compiled 159 to 111 computations (30.2% saved)

Details

analyze285.0ms (5.1%)

sample22.0ms (0.4%)

simplify22.0ms (0.4%)

prune3.0ms (0.1%)

localize7.0ms (0.1%)

rewrite9.0ms (0.2%)

series104.0ms (1.9%)

simplify108.0ms (1.9%)

prune27.0ms (0.5%)

localize18.0ms (0.3%)

rewrite77.0ms (1.4%)

series733.0ms (13.1%)

simplify110.0ms (2%)

prune136.0ms (2.4%)

localize18.0ms (0.3%)

rewrite73.0ms (1.3%)

series729.0ms (13%)

simplify123.0ms (2.2%)

prune139.0ms (2.5%)

localize27.0ms (0.5%)

rewrite110.0ms (2%)

series1.2s (21.2%)

simplify184.0ms (3.3%)

prune315.0ms (5.6%)

regimes128.0ms (2.3%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample909.0ms (16.2%)

Profiling