Details

analyze269.0ms (2.9%)

Algorithm

1×

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)

sample34.0ms (0.4%)

Algorithm

1×

intervals

Results

13.0ms	249×	body	128	valid
9.0ms	280×	pre	128	true
1.0ms	24×	body	128	nan
1.0ms	7×	body	256	valid

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify400.0ms (4.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (302.0ms)

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

27.5b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
0.2b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
0.2b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
27.2b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)

rewrite36.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 74

Calls

4 calls:

13.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
8.0ms	(-.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)))

series629.0ms (6.9%)

Counts

4 → 72

Calls

4 calls:

209.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
159.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
156.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
104.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 1950 to 1660 computations (14.9% saved)

simplify74.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5207	3272

prune183.0ms (2%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	135	11	146
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	136	11	147

Error

0.6b

Counts

147 → 11

Compiler

Compiled 3475 to 1977 computations (43.1% saved)

localize26.0ms (0.3%)

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))
0.4b	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
0.4b	(.f64 (.f64 a a) (pow.f64 c 3))

rewrite63.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

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-exp_binary64_146` `pow-to-exp_binary64_147`
22×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
19×	`times-frac_binary64_84` `associate-r_binary64_18` `associate-/r*_binary64_22`
16×	`unswap-sqr_binary64_46` `cube-prod_binary64_106`
15×	`sqr-pow_binary64_50`
13×	`associate-l_binary64_19`
10×	`cbrt-unprod_binary64_111`
6×	`cbrt-undiv_binary64_112`
4×	`cube-mult_binary64_108` `add-log-exp_binary64_117` `unpow3_binary64_144` `pow1_binary64_139`
2×	`-commutative_binary64_9` `frac-2neg_binary64_89` `div-inv_binary64_75` `associate-/l_binary64_23` `clear-num_binary64_77`

Counts

4 → 178

Calls

4 calls:

11.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
10.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
9.0ms	(.f64 (.f64 a a) (pow.f64 c 3))
9.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))

series730.0ms (8%)

Counts

4 → 30

Calls

4 calls:

273.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
223.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
122.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))
111.0ms	(.f64 (.f64 a a) (pow.f64 c 3))

Compiler

Compiled 2460 to 1908 computations (22.4% saved)

simplify88.0ms (1%)

Algorithm

1×	egg-herbie

Counts

208 → 208

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5093	3032

prune506.0ms (5.5%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	205	3	208
Fresh	0	10	10
Picked	0	1	1
Done	0	0	0
Total	205	14	219

Error

0.6b

Counts

219 → 14

Compiler

Compiled 9716 to 5724 computations (41.1% saved)

localize29.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (.f64 a a) (*.f64 c c))
0.4b	(*.f64 (pow.f64 a 4) (pow.f64 c 4))
0.4b	(/.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))
0.7b	(pow.f64 (*.f64 a c) 3)

rewrite54.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

90×	`add-exp-log_binary64_116`
45×	`prod-exp_binary64_127`
36×	`pow-exp_binary64_146`
35×	`pow-to-exp_binary64_147` `pow1_binary64_139`
30×	`div-exp_binary64_129`
26×	`add-cbrt-cube_binary64_114`
25×	`add-sqr-sqrt_binary64_100`
19×	`unpow-prod-down_binary64_157`
16×	`pow-prod-down_binary64_149`
13×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
11×	`cbrt-unprod_binary64_111` `sqr-pow_binary64_50`
10×	`unswap-sqr_binary64_46`
8×	`associate-l_binary64_19` `associate-r_binary64_18`
7×	`times-frac_binary64_84` `associate-/r*_binary64_22`
4×	`add-log-exp_binary64_117` `pow-prod-up_binary64_148` `pow-plus_binary64_141`
3×	`pow-unpow_binary64_155`
2×	`rem-cube-cbrt_binary64_101` `pow2_binary64_159` `*-commutative_binary64_9` `pow-sqr_binary64_51` `cbrt-undiv_binary64_112` `pow-pow_binary64_150`
1×	`cube-mult_binary64_108` `frac-2neg_binary64_89` `div-inv_binary64_75` `associate-/l*_binary64_23` `clear-num_binary64_77` `unpow3_binary64_144` `cube-prod_binary64_106`

Counts

4 → 150

Calls

4 calls:

12.0ms	(.f64 (.f64 a a) (*.f64 c c))
9.0ms	(/.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))
8.0ms	(*.f64 (pow.f64 a 4) (pow.f64 c 4))
4.0ms	(pow.f64 (*.f64 a c) 3)

series640.0ms (7%)

Counts

4 → 27

Calls

4 calls:

337.0ms	(/.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))
115.0ms	(*.f64 (pow.f64 a 4) (pow.f64 c 4))
95.0ms	(pow.f64 (*.f64 a c) 3)
92.0ms	(.f64 (.f64 a a) (*.f64 c c))

Compiler

Compiled 2670 to 2004 computations (24.9% saved)

simplify86.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

177 → 177

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4943	2002
1	4943	2002

prune439.0ms (4.8%)

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	176	1	177
Fresh	0	12	12
Picked	0	1	1
Done	0	1	1
Total	176	15	191

Error

0.6b

Counts

191 → 15

Compiler

Compiled 9436 to 5479 computations (41.9% saved)

localize32.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.4b	(/.f64 (pow.f64 (*.f64 a c) 4) (pow.f64 b 7))
0.7b	(pow.f64 (*.f64 a c) 3)
0.9b	(pow.f64 (*.f64 a c) 4)
30.3b	(log.f64 (exp.f64 (/.f64 (pow.f64 (*.f64 a c) 4) (pow.f64 b 7))))

rewrite54.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

70×	`times-frac_binary64_84`
50×	`unpow-prod-down_binary64_157`
45×	`add-sqr-sqrt_binary64_100` `add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
40×	`log-pow_binary64_167`
39×	`exp-prod_binary64_130`
30×	`add-exp-log_binary64_116`
28×	`sqr-pow_binary64_50`
14×	`pow-exp_binary64_146`
12×	`div-exp_binary64_129`
11×	`pow1_binary64_139`
9×	`add-cbrt-cube_binary64_114` `pow-to-exp_binary64_147`
7×	`associate-/r*_binary64_22`
6×	`pow-unpow_binary64_155`
5×	`prod-exp_binary64_127` `associate-/l*_binary64_23`
4×	`add-log-exp_binary64_117` `pow-pow_binary64_150`
3×	`log-prod_binary64_164`
2×	`rem-cube-cbrt_binary64_101` `div-inv_binary64_75` `pow-prod-down_binary64_149`
1×	`cube-mult_binary64_108` `cbrt-unprod_binary64_111` `cbrt-undiv_binary64_112` `frac-2neg_binary64_89` `rem-log-exp_binary64_119` `clear-num_binary64_77` `unpow3_binary64_144` `cube-prod_binary64_106`

Counts

4 → 160

Calls

4 calls:

10.0ms	(log.f64 (exp.f64 (/.f64 (pow.f64 (*.f64 a c) 4) (pow.f64 b 7))))
7.0ms	(/.f64 (pow.f64 (*.f64 a c) 4) (pow.f64 b 7))
4.0ms	(pow.f64 (*.f64 a c) 4)
4.0ms	(pow.f64 (*.f64 a c) 3)

series1.6s (17.5%)

Counts

4 → 32

Calls

4 calls:

1.1s	(log.f64 (exp.f64 (/.f64 (pow.f64 (*.f64 a c) 4) (pow.f64 b 7))))
339.0ms	(/.f64 (pow.f64 (*.f64 a c) 4) (pow.f64 b 7))
94.0ms	(pow.f64 (*.f64 a c) 4)
94.0ms	(pow.f64 (*.f64 a c) 3)

Compiler

Compiled 3122 to 2322 computations (25.6% saved)

simplify72.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

192 → 192

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5082	3026

prune581.0ms (6.3%)

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	191	1	192
Fresh	0	12	12
Picked	1	0	1
Done	0	2	2
Total	192	15	207

Error

0.6b

Counts

207 → 15

Compiler

Compiled 10526 to 5931 computations (43.7% saved)

regimes401.0ms (4.4%)

Accuracy

Total 4.9b remaining (88.1%)

Threshold costs 0b (0%)

Compiler

Compiled 5604 to 4146 computations (26% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	86	61
1	86	61

end0.0ms (0%)

sample2.1s (23.1%)

Algorithm

1×

intervals

Results

405.0ms	7715×	body	128	valid
276.0ms	8840×	pre	128	true
46.0ms	840×	body	128	nan
29.0ms	285×	body	256	valid

Compiler

Compiled 1462 to 1083 computations (25.9% saved)

Details

analyze269.0ms (2.9%)

sample34.0ms (0.4%)

simplify400.0ms (4.4%)

prune4.0ms (0%)

localize11.0ms (0.1%)

rewrite36.0ms (0.4%)

series629.0ms (6.9%)

simplify74.0ms (0.8%)

prune183.0ms (2%)

localize26.0ms (0.3%)

rewrite63.0ms (0.7%)

series730.0ms (8%)

simplify88.0ms (1%)

prune506.0ms (5.5%)

localize29.0ms (0.3%)

rewrite54.0ms (0.6%)

series640.0ms (7%)

simplify86.0ms (0.9%)

prune439.0ms (4.8%)

localize32.0ms (0.3%)

rewrite54.0ms (0.6%)

series1.6s (17.5%)

simplify72.0ms (0.8%)

prune581.0ms (6.3%)

regimes401.0ms (4.4%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample2.1s (23.1%)

Profiling