Details

analyze272.0ms (3.1%)

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)

sample41.0ms (0.5%)

Algorithm

1×

intervals

Results

11.0ms	111×	body	256	valid
8.0ms	282×	pre	128	true
7.0ms	48×	body	512	valid
5.0ms	97×	body	128	valid
1.0ms	26×	body	128	nan

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify405.0ms (4.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (312.0ms)

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

51.4b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(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))
25.8b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)

rewrite37.0ms (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))
9.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
5.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

series607.0ms (7%)

Counts

4 → 72

Calls

4 calls:

191.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
162.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
154.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
100.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 1950 to 1660 computations (14.9% saved)

simplify76.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5207	3272

prune205.0ms (2.3%)

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

0.2b

Counts

147 → 11

Compiler

Compiled 3445 to 1959 computations (43.1% saved)

localize27.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (.f64 a a) (pow.f64 c 3))
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 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))

rewrite68.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

144×	`add-exp-log_binary64_116`
72×	`prod-exp_binary64_127`
51×	`div-exp_binary64_129`
49×	`pow-exp_binary64_146` `pow-to-exp_binary64_147`
40×	`add-sqr-sqrt_binary64_100`
29×	`unpow-prod-down_binary64_157`
25×	`add-cbrt-cube_binary64_114`
20×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
19×	`associate-r_binary64_18`
16×	`unswap-sqr_binary64_46`
15×	`sqr-pow_binary64_50`
14×	`times-frac_binary64_84` `associate-/r*_binary64_22`
13×	`associate-l_binary64_19`
10×	`cube-prod_binary64_106`
8×	`cbrt-unprod_binary64_111`
5×	`cbrt-undiv_binary64_112`
4×	`add-log-exp_binary64_117` `pow1_binary64_139`
2×	`cube-mult_binary64_108` `-commutative_binary64_9` `frac-2neg_binary64_89` `div-inv_binary64_75` `associate-/l_binary64_23` `clear-num_binary64_77` `unpow3_binary64_144`

Counts

4 → 188

Calls

4 calls:

11.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
10.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
9.0ms	(.f64 (.f64 a a) (pow.f64 c 3))
9.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))

series865.0ms (9.9%)

Counts

4 → 30

Calls

4 calls:

351.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
286.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
121.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))
107.0ms	(.f64 (.f64 a a) (pow.f64 c 3))

Compiler

Compiled 2460 to 1890 computations (23.2% saved)

simplify103.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

218 → 218

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4984	3398
1	4984	3398

prune546.0ms (6.3%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	218	0	218
Fresh	0	10	10
Picked	0	1	1
Done	0	0	0
Total	218	11	229

Error

0.2b

Counts

229 → 11

Compiler

Compiled 9991 to 6018 computations (39.8% saved)

localize32.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (.f64 a a) (*.f64 c c))
0.4b	(/.f64 (.f64 (.f64 a a) (*.f64 c c)) (pow.f64 b 3))
0.4b	(*.f64 (pow.f64 a 4) (pow.f64 c 4))
0.8b	(pow.f64 (*.f64 a c) 3)

rewrite58.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

80×	`add-exp-log_binary64_116`
42×	`prod-exp_binary64_127`
39×	`add-cbrt-cube_binary64_114`
35×	`pow1_binary64_139`
27×	`add-sqr-sqrt_binary64_100`
19×	`unpow-prod-down_binary64_157`
18×	`cbrt-unprod_binary64_111`
16×	`pow-prod-down_binary64_149`
15×	`div-exp_binary64_129` `add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
13×	`pow-exp_binary64_146`
12×	`pow-to-exp_binary64_147` `times-frac_binary64_84` `associate-/r*_binary64_22`
11×	`sqr-pow_binary64_50`
10×	`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-plus_binary64_141`
3×	`cube-mult_binary64_108` `pow-unpow_binary64_155` `unpow3_binary64_144`
2×	`rem-cube-cbrt_binary64_101` `pow2_binary64_159` `*-commutative_binary64_9` `pow-sqr_binary64_51` `pow-pow_binary64_150`
1×	`frac-2neg_binary64_89` `div-inv_binary64_75` `associate-/l*_binary64_23` `clear-num_binary64_77`

Counts

4 → 148

Calls

4 calls:

14.0ms	(/.f64 (.f64 (.f64 a a) (*.f64 c c)) (pow.f64 b 3))
10.0ms	(.f64 (.f64 a a) (*.f64 c c))
8.0ms	(*.f64 (pow.f64 a 4) (pow.f64 c 4))
4.0ms	(pow.f64 (*.f64 a c) 3)

series555.0ms (6.4%)

Counts

4 → 27

Calls

4 calls:

236.0ms	(/.f64 (.f64 (.f64 a a) (*.f64 c c)) (pow.f64 b 3))
128.0ms	(*.f64 (pow.f64 a 4) (pow.f64 c 4))
98.0ms	(pow.f64 (*.f64 a c) 3)
93.0ms	(.f64 (.f64 a a) (*.f64 c c))

Compiler

Compiled 2670 to 2040 computations (23.6% saved)

simplify74.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

175 → 175

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5095	1922

prune449.0ms (5.1%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	175	0	175
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	175	11	186

Error

0.2b

Counts

186 → 11

Compiler

Compiled 9120 to 5472 computations (40% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(/.f64 (+.f64 (.f64 -2 (+.f64 (/.f64 (.f64 a c) b) (/.f64 (.f64 (.f64 a a) (.f64 c c)) (pow.f64 b 3)))) (.f64 (/.f64 (pow.f64 (.f64 a c) 3) (pow.f64 b 5)) -4)) (.f64 a 2))
0.3b	(.f64 (.f64 a a) (*.f64 c c))
0.4b	(/.f64 (.f64 (.f64 a a) (*.f64 c c)) (pow.f64 b 3))
0.8b	(pow.f64 (*.f64 a c) 3)

rewrite73.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

73×	`add-exp-log_binary64_116`
42×	`add-cbrt-cube_binary64_114`
35×	`pow1_binary64_139`
34×	`prod-exp_binary64_127`
18×	`cbrt-unprod_binary64_111`
17×	`div-exp_binary64_129`
15×	`times-frac_binary64_84` `pow-prod-down_binary64_149`
13×	`add-sqr-sqrt_binary64_100` `add-cube-cbrt_binary64_113` `associate-/r_binary64_22` `-un-lft-identity_binary64_78`
7×	`pow-exp_binary64_146` `cbrt-undiv_binary64_112` `unpow-prod-down_binary64_157` `cube-prod_binary64_106`
6×	`pow-to-exp_binary64_147`
5×	`associate-/l/_binary64_25`
4×	`frac-add_binary64_86` `add-log-exp_binary64_117` `associate-/l*_binary64_23` `pow-prod-up_binary64_148` `pow-plus_binary64_141`
3×	`cube-mult_binary64_108` `sqr-pow_binary64_50` `associate-l/_binary64_21` `pow-unpow_binary64_155` `associate-r/_binary64_20` `unpow3_binary64_144`
2×	`rem-cube-cbrt_binary64_101` `pow2_binary64_159` `pow-sqr_binary64_51` `flip-+_binary64_52` `frac-2neg_binary64_89` `div-inv_binary64_75` `pow-pow_binary64_150` `clear-num_binary64_77` `flip3-+_binary64_81`
1×	`-commutative_binary64_9` `associate-l_binary64_19` `associate-r*_binary64_18` `unswap-sqr_binary64_46`

Counts

4 → 132

Calls

4 calls:

25.0ms	(/.f64 (+.f64 (.f64 -2 (+.f64 (/.f64 (.f64 a c) b) (/.f64 (.f64 (.f64 a a) (.f64 c c)) (pow.f64 b 3)))) (.f64 (/.f64 (pow.f64 (.f64 a c) 3) (pow.f64 b 5)) -4)) (.f64 a 2))
14.0ms	(/.f64 (.f64 (.f64 a a) (*.f64 c c)) (pow.f64 b 3))
10.0ms	(.f64 (.f64 a a) (*.f64 c c))
4.0ms	(pow.f64 (*.f64 a c) 3)

series958.0ms (11%)

Counts

4 → 38

Calls

4 calls:

555.0ms	(/.f64 (+.f64 (.f64 -2 (+.f64 (/.f64 (.f64 a c) b) (/.f64 (.f64 (.f64 a a) (.f64 c c)) (pow.f64 b 3)))) (.f64 (/.f64 (pow.f64 (.f64 a c) 3) (pow.f64 b 5)) -4)) (.f64 a 2))
225.0ms	(/.f64 (.f64 (.f64 a a) (*.f64 c c)) (pow.f64 b 3))
94.0ms	(pow.f64 (*.f64 a c) 3)
83.0ms	(.f64 (.f64 a a) (*.f64 c c))

Compiler

Compiled 1979 to 1572 computations (20.6% saved)

simplify69.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

170 → 170

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5039	3234

prune304.0ms (3.5%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	167	3	170
Fresh	1	7	8
Picked	1	0	1
Done	0	2	2
Total	169	12	181

Error

0.2b

Counts

181 → 12

Compiler

Compiled 6343 to 3447 computations (45.7% saved)

regimes425.0ms (4.9%)

Accuracy

Total 1.3b remaining (87.9%)

Threshold costs 0b (0%)

Compiler

Compiled 6152 to 4434 computations (27.9% 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%)

sample2.4s (28%)

Algorithm

1×

intervals

Results

367.0ms	3817×	body	256	valid
265.0ms	8753×	pre	128	true
204.0ms	1444×	body	512	valid
132.0ms	2739×	body	128	valid
33.0ms	753×	body	128	nan

Compiler

Compiled 1599 to 1155 computations (27.8% saved)

Details

analyze272.0ms (3.1%)

sample41.0ms (0.5%)

simplify405.0ms (4.6%)

prune4.0ms (0%)

localize11.0ms (0.1%)

rewrite37.0ms (0.4%)

series607.0ms (7%)

simplify76.0ms (0.9%)

prune205.0ms (2.3%)

localize27.0ms (0.3%)

rewrite68.0ms (0.8%)

series865.0ms (9.9%)

simplify103.0ms (1.2%)

prune546.0ms (6.3%)

localize32.0ms (0.4%)

rewrite58.0ms (0.7%)

series555.0ms (6.4%)

simplify74.0ms (0.9%)

prune449.0ms (5.1%)

localize21.0ms (0.2%)

rewrite73.0ms (0.8%)

series958.0ms (11%)

simplify69.0ms (0.8%)

prune304.0ms (3.5%)

regimes425.0ms (4.9%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample2.4s (28%)

Profiling