Details

analyze490.0ms (3.9%)

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)

sample38.0ms (0.3%)

Algorithm

1×

intervals

Results

12.0ms	241×	body	128	valid
8.0ms	279×	pre	128	true
1.0ms	15×	body	256	valid
1.0ms	23×	body	128	nan

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify320.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (314.0ms)

Iter	Nodes	Cost
0	1834	24
1	1834	24

prune6.0ms (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

30.3b

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 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
0.2b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
30.1b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)

rewrite142.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

28.0b

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))
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)))

Compiler

Compiled 2100 to 1220 computations (41.9% saved)

series695.0ms (5.6%)

Error

1.1b

Counts

4 → 72

Calls

4 calls:

197.0ms	(/.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)
158.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
107.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 3306 to 2519 computations (23.8% saved)

simplify79.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5207	3272

prune171.0ms (1.4%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	132	14	146
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	133	14	147

Error

0.8b

Counts

147 → 14

Compiler

Compiled 3591 to 1957 computations (45.5% saved)

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite537.0ms (4.3%)

Algorithm

1×	rewrite-expression-head

Error

0.8b

Rules

112×	`add-exp-log_binary64_116`
54×	`prod-exp_binary64_127`
42×	`add-sqr-sqrt_binary64_100`
39×	`pow-to-exp_binary64_147` `div-exp_binary64_129` `pow-exp_binary64_146`
29×	`unpow-prod-down_binary64_157`
25×	`add-cbrt-cube_binary64_114`
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×	`unswap-sqr_binary64_46` `cube-prod_binary64_106`
15×	`sqr-pow_binary64_50`
13×	`associate-l_binary64_19`
8×	`cbrt-unprod_binary64_111`
5×	`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 → 186

Calls

4 calls:

11.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
9.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
9.0ms	(.f64 (.f64 a a) (pow.f64 c 3))
8.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))

Compiler

Compiled 8847 to 5281 computations (40.3% saved)

series790.0ms (6.3%)

Error

0.8b

Counts

4 → 30

Calls

4 calls:

319.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
201.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
109.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))
107.0ms	(.f64 (.f64 a a) (pow.f64 c 3))

Compiler

Compiled 3690 to 2656 computations (28% saved)

simplify90.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

216 → 216

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4996	3175
1	4996	3175

prune503.0ms (4%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	214	2	216
Fresh	0	13	13
Picked	0	1	1
Done	0	0	0
Total	214	16	230

Error

0.8b

Counts

230 → 16

Compiler

Compiled 10132 to 6003 computations (40.8% saved)

localize34.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(/.f64 (.f64 (.f64 a c) (*.f64 a c)) (pow.f64 b 3))
0.4b	(/.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))
0.6b	(.f64 (.f64 a c) (*.f64 a c))
0.7b	(pow.f64 (*.f64 a c) 3)

rewrite546.0ms (4.4%)

Algorithm

1×	rewrite-expression-head

Error

0.8b

Rules

127×	`add-exp-log_binary64_116`
60×	`prod-exp_binary64_127`
46×	`pow1_binary64_139`
45×	`div-exp_binary64_129`
42×	`add-cbrt-cube_binary64_114`
35×	`pow-exp_binary64_146`
34×	`pow-to-exp_binary64_147`
19×	`times-frac_binary64_84` `associate-/r*_binary64_22`
18×	`pow-prod-down_binary64_149` `cbrt-unprod_binary64_111`
15×	`add-cube-cbrt_binary64_113` `add-sqr-sqrt_binary64_100` `*-un-lft-identity_binary64_78`
13×	`unpow-prod-down_binary64_157`
7×	`cube-prod_binary64_106` `cbrt-undiv_binary64_112`
5×	`sqr-pow_binary64_50`
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` `frac-2neg_binary64_89` `clear-num_binary64_77` `div-inv_binary64_75` `associate-/l*_binary64_23`
1×	`pow2_binary64_159` `swap-sqr_binary64_45` `associate-l_binary64_19` `associate-r_binary64_18` `*-commutative_binary64_9`

Counts

4 → 168

Calls

4 calls:

11.0ms	(/.f64 (.f64 (.f64 a c) (*.f64 a c)) (pow.f64 b 3))
9.0ms	(/.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))
8.0ms	(.f64 (.f64 a c) (*.f64 a c))
4.0ms	(pow.f64 (*.f64 a c) 3)

Compiler

Compiled 9233 to 5284 computations (42.8% saved)

series783.0ms (6.3%)

Error

0.8b

Counts

4 → 30

Calls

4 calls:

317.0ms	(/.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))
234.0ms	(/.f64 (.f64 (.f64 a c) (*.f64 a c)) (pow.f64 b 3))
90.0ms	(pow.f64 (*.f64 a c) 3)
85.0ms	(.f64 (.f64 a c) (*.f64 a c))

Compiler

Compiled 4446 to 3135 computations (29.5% saved)

simplify84.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

198 → 198

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4971	2399
1	4971	2399

prune570.0ms (4.6%)

Pruning

18 alts after pruning (16 fresh and 2 done)

	Pruned	Kept	Total
New	196	2	198
Fresh	0	14	14
Picked	0	1	1
Done	0	1	1
Total	196	18	214

Error

0.8b

Counts

214 → 18

Compiler

Compiled 10488 to 6286 computations (40.1% saved)

localize30.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (.f64 a a) (pow.f64 c 3))
0.4b	(*.f64 (pow.f64 a 3) (pow.f64 c 4))
0.4b	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
26.1b	(log.f64 (exp.f64 (/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))))

rewrite513.0ms (4.1%)

Algorithm

1×	rewrite-expression-head

Error

0.8b

Rules

88×	`add-exp-log_binary64_116`
45×	`prod-exp_binary64_127`
40×	`add-sqr-sqrt_binary64_100`
36×	`pow-to-exp_binary64_147` `pow-exp_binary64_146`
30×	`div-exp_binary64_129`
26×	`unpow-prod-down_binary64_157`
20×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
19×	`associate-r_binary64_18`
16×	`add-cbrt-cube_binary64_114` `unswap-sqr_binary64_46`
14×	`times-frac_binary64_84` `sqr-pow_binary64_50`
13×	`associate-l_binary64_19`
12×	`log-pow_binary64_167`
11×	`exp-prod_binary64_130`
10×	`cube-prod_binary64_106`
7×	`associate-/r*_binary64_22`
5×	`pow1_binary64_139` `cbrt-unprod_binary64_111`
4×	`add-log-exp_binary64_117`
3×	`log-prod_binary64_164`
2×	`div-inv_binary64_75` `cbrt-undiv_binary64_112` `unpow3_binary64_144` `cube-mult_binary64_108` `*-commutative_binary64_9`
1×	`rem-log-exp_binary64_119` `frac-2neg_binary64_89` `clear-num_binary64_77` `associate-/l*_binary64_23`

Counts

4 → 162

Calls

4 calls:

9.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
9.0ms	(.f64 (.f64 a a) (pow.f64 c 3))
8.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))
7.0ms	(log.f64 (exp.f64 (/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))))

Compiler

Compiled 8104 to 5025 computations (38% saved)

series1.4s (10.8%)

Error

0.8b

Counts

4 → 32

Calls

4 calls:

754.0ms	(log.f64 (exp.f64 (/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))))
326.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
117.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))
99.0ms	(.f64 (.f64 a a) (pow.f64 c 3))

Compiler

Compiled 3970 to 2849 computations (28.2% saved)

simplify62.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

194 → 194

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	4995	2948
1	4995	2948

prune515.0ms (4.1%)

Pruning

18 alts after pruning (16 fresh and 2 done)

	Pruned	Kept	Total
New	193	1	194
Fresh	0	15	15
Picked	1	0	1
Done	0	2	2
Total	194	18	212

Error

0.8b

Counts

212 → 18

Compiler

Compiled 9025 to 5478 computations (39.3% saved)

regimes804.0ms (6.4%)

Accuracy

Total 4.4b remaining (86.6%)

Threshold costs 0b (0%)

Compiler

Compiled 11228 to 8070 computations (28.1% saved)

bsearch9.0ms (0.1%)

Compiler: Compiled 17 to 14 computations (17.6% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	181	135
1	181	135

end0.0ms (0%)

sample3.3s (26.5%)

Algorithm

1×

intervals

Results

396.0ms	7704×	body	128	valid
275.0ms	8792×	pre	128	true
39.0ms	792×	body	128	nan
28.0ms	296×	body	256	valid

Compiler

Compiled 2917 to 2091 computations (28.3% saved)

Details

analyze490.0ms (3.9%)

sample38.0ms (0.3%)

simplify320.0ms (2.6%)

prune6.0ms (0%)

localize11.0ms (0.1%)

rewrite142.0ms (1.1%)

series695.0ms (5.6%)

simplify79.0ms (0.6%)

prune171.0ms (1.4%)

localize26.0ms (0.2%)

rewrite537.0ms (4.3%)

series790.0ms (6.3%)

simplify90.0ms (0.7%)

prune503.0ms (4%)

localize34.0ms (0.3%)

rewrite546.0ms (4.4%)

series783.0ms (6.3%)

simplify84.0ms (0.7%)

prune570.0ms (4.6%)

localize30.0ms (0.2%)

rewrite513.0ms (4.1%)

series1.4s (10.8%)

simplify62.0ms (0.5%)

prune515.0ms (4.1%)

regimes804.0ms (6.4%)

bsearch9.0ms (0.1%)

simplify5.0ms (0%)

end0.0ms (0%)

sample3.3s (26.5%)

Profiling