Details

analyze477.0ms (4.3%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5132	96
0	3	3
1	3	3

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1
0%	0%	100%	2
0%	0%	100%	3
0%	0%	100%	4
0%	0%	100%	5
0%	0%	100%	6
0%	0%	100%	7
0%	0%	100%	8
0%	0%	100%	9
0%	0%	100%	10
0%	0%	100%	11
0%	0%	100%	12
0%	0%	100%	13
0%	0%	100%	14

Compiler

Compiled 30 to 24 computations (20% saved)

sample46.0ms (0.4%)

Algorithm

1×

intervals

Results

11.0ms	121×	body	256	valid
8.0ms	283×	pre	128	true
6.0ms	48×	body	512	valid
4.0ms	87×	body	128	valid
1.0ms	27×	body	128	nan

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify310.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (305.0ms)

Iter	Nodes	Cost
0	1834	24
1	1834	24

prune4.0ms (0%)

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

Error

53.5b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
0.1b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
0.1b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
26.5b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)

rewrite153.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

50.4b

Rules

21×	`add-sqr-sqrt_binary64_100`
14×	`*-un-lft-identity_binary64_78`
9×	`add-exp-log_binary64_116` `add-cbrt-cube_binary64_114`
8×	`add-log-exp_binary64_117` `add-cube-cbrt_binary64_113`
6×	`difference-of-squares_binary64_47` `sqrt-prod_binary64_94` `times-frac_binary64_84` `associate-/l*_binary64_23`
5×	`pow1_binary64_139`
4×	`flip3--_binary64_82` `flip--_binary64_53` `cancel-sign-sub-inv_binary64_44`
3×	`distribute-lft-out--_binary64_30`
2×	`diff-log_binary64_170` `sub-neg_binary64_71` `div-exp_binary64_129` `cbrt-undiv_binary64_112` `associate-/l/_binary64_25` `sqrt-div_binary64_95`
1×	`prod-exp_binary64_127` `cbrt-unprod_binary64_111` `frac-2neg_binary64_89` `div-sub_binary64_83` `clear-num_binary64_77` `div-inv_binary64_75` `associate-/r*_binary64_22` `pow1/2_binary64_158` `sqrt-pow1_binary64_96` `rem-sqrt-square_binary64_91`

Counts

4 → 74

Calls

4 calls:

12.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
11.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
4.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 2100 to 1220 computations (41.9% saved)

series698.0ms (6.2%)

Error

0.3b

Counts

4 → 72

Calls

4 calls:

206.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
153.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
153.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
109.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 3306 to 2519 computations (23.8% saved)

simplify75.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5207	3272

prune351.0ms (3.1%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	139	7	146
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	140	7	147

Error

0.2b

Counts

147 → 7

Compiler

Compiled 3360 to 1794 computations (46.6% saved)

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 (pow.f64 a 3) (pow.f64 c 4))
0.3b	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
0.3b	(.f64 (.f64 a a) (pow.f64 c 3))
0.4b	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))

rewrite503.0ms (4.5%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

109×	`add-exp-log_binary64_116`
54×	`prod-exp_binary64_127`
42×	`add-sqr-sqrt_binary64_100`
30×	`div-exp_binary64_129`
29×	`add-cbrt-cube_binary64_114` `unpow-prod-down_binary64_157`
24×	`pow-to-exp_binary64_147` `pow-exp_binary64_146`
22×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
19×	`times-frac_binary64_84` `associate-/r_binary64_22` `associate-r*_binary64_18`
16×	`cube-prod_binary64_106` `unswap-sqr_binary64_46`
15×	`sqr-pow_binary64_50`
13×	`associate-l_binary64_19`
10×	`cbrt-unprod_binary64_111`
6×	`cbrt-undiv_binary64_112`
4×	`pow1_binary64_139` `add-log-exp_binary64_117` `unpow3_binary64_144` `cube-mult_binary64_108`
2×	`frac-2neg_binary64_89` `clear-num_binary64_77` `div-inv_binary64_75` `associate-/l_binary64_23` `-commutative_binary64_9`

Counts

4 → 178

Calls

4 calls:

10.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
9.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))
9.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
9.0ms	(.f64 (.f64 a a) (pow.f64 c 3))

Compiler

Compiled 8517 to 5058 computations (40.6% saved)

series758.0ms (6.8%)

Error

0.2b

Counts

4 → 30

Calls

4 calls:

276.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
214.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
115.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))
103.0ms	(.f64 (.f64 a a) (pow.f64 c 3))

Compiler

Compiled 3690 to 2692 computations (27% saved)

simplify86.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

208 → 208

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5093	3032

prune474.0ms (4.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	208	0	208
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	208	7	215

Error

0.2b

Counts

215 → 7

Compiler

Compiled 9472 to 5560 computations (41.3% saved)

localize32.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(/.f64 (.f64 (.f64 a c) (*.f64 a c)) (pow.f64 b 3))
0.3b	(*.f64 (pow.f64 a 4) (pow.f64 c 4))
0.5b	(.f64 (.f64 a c) (*.f64 a c))
0.7b	(pow.f64 (*.f64 a c) 3)

rewrite480.0ms (4.3%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

80×	`add-exp-log_binary64_116`
46×	`pow1_binary64_139`
42×	`prod-exp_binary64_127`
39×	`add-cbrt-cube_binary64_114`
27×	`add-sqr-sqrt_binary64_100`
19×	`unpow-prod-down_binary64_157` `pow-prod-down_binary64_149`
18×	`cbrt-unprod_binary64_111`
15×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78` `div-exp_binary64_129`
13×	`pow-exp_binary64_146`
12×	`pow-to-exp_binary64_147` `times-frac_binary64_84` `associate-/r*_binary64_22`
11×	`sqr-pow_binary64_50`
9×	`unswap-sqr_binary64_46`
8×	`associate-l_binary64_19` `associate-r_binary64_18`
7×	`cube-prod_binary64_106`
5×	`cbrt-undiv_binary64_112`
4×	`add-log-exp_binary64_117` `pow-prod-up_binary64_148` `pow-sqr_binary64_51`
3×	`pow-unpow_binary64_155` `unpow3_binary64_144` `cube-mult_binary64_108`
2×	`pow-pow_binary64_150` `rem-cube-cbrt_binary64_101` `pow-plus_binary64_141` `*-commutative_binary64_9`
1×	`pow2_binary64_159` `swap-sqr_binary64_45` `frac-2neg_binary64_89` `clear-num_binary64_77` `div-inv_binary64_75` `associate-/l*_binary64_23`

Counts

4 → 153

Calls

4 calls:

12.0ms	(/.f64 (.f64 (.f64 a c) (*.f64 a c)) (pow.f64 b 3))
8.0ms	(*.f64 (pow.f64 a 4) (pow.f64 c 4))
7.0ms	(.f64 (.f64 a c) (*.f64 a c))
4.0ms	(pow.f64 (*.f64 a c) 3)

Compiler

Compiled 8467 to 4865 computations (42.5% saved)

series591.0ms (5.3%)

Error

0.2b

Counts

4 → 27

Calls

4 calls:

234.0ms	(/.f64 (.f64 (.f64 a c) (*.f64 a c)) (pow.f64 b 3))
111.0ms	(*.f64 (pow.f64 a 4) (pow.f64 c 4))
100.0ms	(pow.f64 (*.f64 a c) 3)
91.0ms	(.f64 (.f64 a c) (*.f64 a c))

Compiler

Compiled 4005 to 2847 computations (28.9% saved)

simplify54.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

180 → 180

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5056	1914

prune497.0ms (4.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	180	0	180
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	180	7	187

Error

0.2b

Counts

187 → 7

Compiler

Compiled 9264 to 5537 computations (40.2% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
0.1b	(/.f64 (-.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))) (.f64 b b)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))))
0.2b	(/.f64 (/.f64 (-.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))) (.f64 b b)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))))) (.f64 a 2))
26.5b	(-.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))) (.f64 b b))

rewrite322.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

70×	`times-frac_binary64_84`
58×	`*-un-lft-identity_binary64_78`
46×	`add-sqr-sqrt_binary64_100`
32×	`add-cube-cbrt_binary64_113`
26×	`associate-/l*_binary64_23`
18×	`add-exp-log_binary64_116` `add-cbrt-cube_binary64_114`
14×	`difference-of-squares_binary64_47`
13×	`distribute-lft-out_binary64_29`
11×	`add-log-exp_binary64_117`
7×	`div-exp_binary64_129` `cbrt-undiv_binary64_112`
6×	`associate-/r/_binary64_24`
5×	`associate-/r*_binary64_22`
4×	`diff-log_binary64_170` `pow1_binary64_139` `div-inv_binary64_75`
3×	`flip3--_binary64_82` `sub-neg_binary64_71` `flip--_binary64_53` `cancel-sign-sub-inv_binary64_44` `flip3-+_binary64_81` `flip-+_binary64_52` `div-sub_binary64_83` `associate-/l/_binary64_25`
2×	`associate--l+_binary64_15` `prod-exp_binary64_127` `cbrt-unprod_binary64_111` `frac-2neg_binary64_89` `clear-num_binary64_77`
1×	`associate--l-_binary64_16`

Counts

4 → 135

Calls

4 calls:

18.0ms	(/.f64 (/.f64 (-.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))) (.f64 b b)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))))) (.f64 a 2))
15.0ms	(/.f64 (-.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))) (.f64 b b)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))))
7.0ms	(-.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))) (.f64 b b))
4.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))

Compiler

Compiled 6918 to 3174 computations (54.1% saved)

series794.0ms (7.1%)

Error

0.0b

Counts

4 → 63

Calls

4 calls:

254.0ms	(/.f64 (-.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))) (.f64 b b)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))))
224.0ms	(/.f64 (/.f64 (-.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))) (.f64 b b)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))))) (.f64 a 2))
154.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
98.0ms	(-.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))) (.f64 b b))

Compiler

Compiled 3920 to 2660 computations (32.1% saved)

simplify109.0ms (1%)

Algorithm

1×	egg-herbie

Counts

198 → 198

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	6024	6472

prune282.0ms (2.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	194	4	198
Fresh	3	1	4
Picked	1	0	1
Done	0	2	2
Total	198	7	205

Error

0.0b

Counts

205 → 7

Compiler

Compiled 6753 to 3337 computations (50.6% saved)

regimes708.0ms (6.3%)

Accuracy

Total 0.4b remaining (98.5%)

Threshold costs 0.4b (98.5%)

Compiler

Compiled 11564 to 7814 computations (32.4% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	33
1	20	33

end0.0ms (0%)

sample3.4s (29.9%)

Algorithm

1×

intervals

Results

362.0ms	3789×	body	256	valid
267.0ms	8841×	pre	128	true
215.0ms	1480×	body	512	valid
129.0ms	2731×	body	128	valid
37.0ms	841×	body	128	nan

Compiler

Compiled 2933 to 1985 computations (32.3% saved)

Details

analyze477.0ms (4.3%)

sample46.0ms (0.4%)

simplify310.0ms (2.8%)

prune4.0ms (0%)

localize10.0ms (0.1%)

rewrite153.0ms (1.4%)

series698.0ms (6.2%)

simplify75.0ms (0.7%)

prune351.0ms (3.1%)

localize25.0ms (0.2%)

rewrite503.0ms (4.5%)

series758.0ms (6.8%)

simplify86.0ms (0.8%)

prune474.0ms (4.2%)

localize32.0ms (0.3%)

rewrite480.0ms (4.3%)

series591.0ms (5.3%)

simplify54.0ms (0.5%)

prune497.0ms (4.4%)

localize13.0ms (0.1%)

rewrite322.0ms (2.9%)

series794.0ms (7.1%)

simplify109.0ms (1%)

prune282.0ms (2.5%)

regimes708.0ms (6.3%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample3.4s (29.9%)

Profiling