Details

analyze265.0ms (12.4%)

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
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
36.7%	60.8%	2.5%	9
43.3%	49.9%	6.8%	10
49.7%	40.8%	9.5%	11
58.2%	30.2%	11.6%	12
61.3%	24.4%	14.3%	13
65%	19.8%	15.3%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample17.0ms (0.8%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
0.0ms	14×	body	128	invalid

Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify175.0ms (8.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (15.0ms)

Iter	Nodes	Cost
0	274	10
1	274	10

prune2.0ms (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: 0.0b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

rewrite19.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`add-sqr-sqrt_binary64_101` `cancel-sign-sub-inv_binary64_45`
10×	`*-un-lft-identity_binary64_79`
8×	`add-cube-cbrt_binary64_114` `distribute-lft-in_binary64_28` `associate-+r+_binary64_11` `distribute-rgt-in_binary64_29`
5×	`associate-r_binary64_19`
4×	`add-exp-log_binary64_117` `add-cbrt-cube_binary64_115` `add-log-exp_binary64_118` `sub-neg_binary64_72` `pow1_binary64_140`
3×	`associate-l_binary64_20`
2×	`associate-*r/_binary64_21`
1×	`flip-+_binary64_53` `distribute-lft-out--_binary64_31` `sum-log_binary64_170` `+-commutative_binary64_9` `flip--_binary64_54` `unswap-sqr_binary64_47` `cbrt-unprod_binary64_112` `prod-exp_binary64_128` `*-commutative_binary64_10` `pow-prod-down_binary64_150` `difference-of-squares_binary64_48` `flip3--_binary64_83` `flip3-+_binary64_82`

Counts

2 → 49

Calls

2 calls:

8.0ms	(*.f64 y (-.f64 z x))
7.0ms	(+.f64 x (*.f64 y (-.f64 z x)))

series130.0ms (6.1%)

Counts

2 → 6

Calls

2 calls:

67.0ms	(+.f64 x (*.f64 y (-.f64 z x)))
63.0ms	(*.f64 y (-.f64 z x))

simplify67.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5145	584

prune41.0ms (1.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	54	1	55
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	54	2	56

Merged error: 0.0b

Counts

56 → 2

Compiler

Compiled 764 to 213 computations (72.1% saved)

localize16.0ms (0.8%)

Local error

Found 4 expressions with local error:

1.6b	(+.f64 (.f64 x x) (.f64 z x))
2.4b	(-.f64 (pow.f64 z 3) (pow.f64 x 3))
4.3b	(*.f64 y (-.f64 (pow.f64 z 3) (pow.f64 x 3)))
34.8b	(/.f64 (.f64 y (-.f64 (pow.f64 z 3) (pow.f64 x 3))) (+.f64 (.f64 z z) (+.f64 (.f64 x x) (.f64 z x))))

rewrite90.0ms (4.2%)

Algorithm

1×	rewrite-expression-head

Rules

67×	`add-sqr-sqrt_binary64_101`
37×	`*-un-lft-identity_binary64_79`
36×	`cancel-sign-sub-inv_binary64_45`
33×	`unpow-prod-down_binary64_158` `cube-prod_binary64_107`
32×	`difference-of-squares_binary64_48`
25×	`associate-r_binary64_19`
19×	`sqr-pow_binary64_51`
17×	`add-cube-cbrt_binary64_114`
13×	`distribute-lft-in_binary64_28` `distribute-rgt-in_binary64_29`
11×	`add-exp-log_binary64_117` `add-cbrt-cube_binary64_115`
10×	`distribute-lft-out--_binary64_31`
8×	`add-log-exp_binary64_118`
6×	`pow1_binary64_140`
4×	`associate-*r/_binary64_21`
3×	`associate-/r_binary64_23` `associate-l*_binary64_20` `times-frac_binary64_85` `flip--_binary64_54` `cube-mult_binary64_109` `flip3--_binary64_83` `sub-neg_binary64_72` `unpow3_binary64_145`
2×	`cbrt-undiv_binary64_113` `difference-cubes_binary64_81` `div-exp_binary64_130` `flip-+_binary64_53` `cbrt-unprod_binary64_112` `prod-exp_binary64_128` `associate-/r/_binary64_25` `associate-/l/_binary64_26` `flip3-+_binary64_82`
1×	`distribute-rgt-out_binary64_32` `div-inv_binary64_76` `sum-log_binary64_170` `associate-/l_binary64_24` `+-commutative_binary64_9` `unswap-sqr_binary64_47` `-commutative_binary64_10` `pow-prod-down_binary64_150` `diff-log_binary64_171` `clear-num_binary64_78` `frac-2neg_binary64_90`

Counts

4 → 150

Calls

4 calls:

26.0ms	(*.f64 y (-.f64 (pow.f64 z 3) (pow.f64 x 3)))
26.0ms	(/.f64 (.f64 y (-.f64 (pow.f64 z 3) (pow.f64 x 3))) (+.f64 (.f64 z z) (+.f64 (.f64 x x) (.f64 z x))))
14.0ms	(-.f64 (pow.f64 z 3) (pow.f64 x 3))
4.0ms	(+.f64 (.f64 x x) (.f64 z x))

series556.0ms (25.9%)

Counts

4 → 12

Calls

4 calls:

295.0ms	(/.f64 (.f64 y (-.f64 (pow.f64 z 3) (pow.f64 x 3))) (+.f64 (.f64 z z) (+.f64 (.f64 x x) (.f64 z x))))
160.0ms	(*.f64 y (-.f64 (pow.f64 z 3) (pow.f64 x 3)))
61.0ms	(-.f64 (pow.f64 z 3) (pow.f64 x 3))
39.0ms	(+.f64 (.f64 x x) (.f64 z x))

simplify58.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

162 → 162

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5471	2797

prune184.0ms (8.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	162	0	162
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	162	2	164

Merged error: 0.0b

Counts

164 → 2

Compiler

Compiled 4677 to 1837 computations (60.7% saved)

regimes40.0ms (1.8%)

Compiler: Compiled 140 to 118 computations (15.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	10
1	19	10

end0.0ms (0%)

sample478.0ms (22.3%)

Algorithm

1×

intervals

Results

209.0ms	8000×	body	128	valid
14.0ms	554×	body	128	invalid

Compiler

Compiled 45 to 38 computations (15.6% saved)

Details

analyze265.0ms (12.4%)

sample17.0ms (0.8%)

simplify175.0ms (8.2%)

prune2.0ms (0.1%)

localize5.0ms (0.3%)

rewrite19.0ms (0.9%)

series130.0ms (6.1%)

simplify67.0ms (3.1%)

prune41.0ms (1.9%)

localize16.0ms (0.8%)

rewrite90.0ms (4.2%)

series556.0ms (25.9%)

simplify58.0ms (2.7%)

prune184.0ms (8.6%)

regimes40.0ms (1.8%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample478.0ms (22.3%)

Profiling