Details

analyze571.0ms (3.7%)

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)

sample45.0ms (0.3%)

Algorithm

1×

intervals

Results

14.0ms	249×	body	128	valid
10.0ms	288×	pre	128	true
2.0ms	32×	body	128	nan
1.0ms	7×	body	256	valid

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify437.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (427.0ms)

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

27.1b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
0.2b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
0.3b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
27.1b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)

rewrite511.0ms (3.3%)

Algorithm

1×	rewrite-expression-head

Error

24.9b

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)

series766.0ms (4.9%)

Error

1.0b

Counts

4 → 72

Calls

4 calls:

207.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
177.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
167.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
127.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 3306 to 2519 computations (23.8% saved)

simplify97.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5207	3272

prune189.0ms (1.2%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	131	15	146
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	132	15	147

Error

0.7b

Counts

147 → 15

Compiler

Compiled 3593 to 1963 computations (45.4% saved)

localize43.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite644.0ms (4.1%)

Algorithm

1×	rewrite-expression-head

Error

0.7b

Rules

144×	`add-exp-log_binary64_116`
72×	`prod-exp_binary64_127`
51×	`div-exp_binary64_129`
49×	`pow-to-exp_binary64_147` `pow-exp_binary64_146`
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×	`pow1_binary64_139` `add-log-exp_binary64_117`
2×	`unpow3_binary64_144` `cube-mult_binary64_108` `-commutative_binary64_9` `frac-2neg_binary64_89` `clear-num_binary64_77` `div-inv_binary64_75` `associate-/l_binary64_23`

Counts

4 → 188

Calls

4 calls:

14.0ms	(.f64 (.f64 a a) (pow.f64 c 3))
11.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))
10.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
9.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))

Compiler

Compiled 8959 to 5346 computations (40.3% saved)

series1.1s (6.8%)

Error

0.7b

Counts

4 → 30

Calls

4 calls:

403.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
334.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
137.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))
127.0ms	(.f64 (.f64 a a) (pow.f64 c 3))

Compiler

Compiled 3690 to 2647 computations (28.3% saved)

simplify132.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

218 → 218

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	4984	3398
1	4984	3398

prune655.0ms (4.2%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	216	2	218
Fresh	0	14	14
Picked	0	1	1
Done	0	0	0
Total	216	17	233

Error

0.7b

Counts

233 → 17

Compiler

Compiled 10225 to 6177 computations (39.6% saved)

localize35.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite735.0ms (4.7%)

Algorithm

1×	rewrite-expression-head

Error

0.7b

Rules

56×	`times-frac_binary64_84`
51×	`add-exp-log_binary64_116`
48×	`unpow-prod-down_binary64_157`
47×	`add-sqr-sqrt_binary64_100`
46×	`pow1_binary64_139`
35×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
26×	`sqr-pow_binary64_50`
23×	`add-cbrt-cube_binary64_114`
21×	`prod-exp_binary64_127`
19×	`pow-prod-down_binary64_149`
18×	`pow-exp_binary64_146`
14×	`pow-to-exp_binary64_147`
12×	`div-exp_binary64_129`
10×	`cbrt-unprod_binary64_111`
9×	`unpow3_binary64_144` `cube-mult_binary64_108` `cube-prod_binary64_106` `unswap-sqr_binary64_46`
8×	`associate-l_binary64_19` `associate-r_binary64_18` `associate-/l*_binary64_23`
7×	`associate-/r*_binary64_22`
4×	`add-log-exp_binary64_117` `pow-prod-up_binary64_148` `pow-sqr_binary64_51`
3×	`pow-unpow_binary64_155`
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` `cbrt-undiv_binary64_112` `frac-2neg_binary64_89` `clear-num_binary64_77` `div-inv_binary64_75`

Counts

4 → 192

Calls

4 calls:

13.0ms	(.f64 (.f64 a c) (*.f64 a c))
8.0ms	(*.f64 (pow.f64 a 4) (pow.f64 c 4))
8.0ms	(pow.f64 (*.f64 a c) 3)
7.0ms	(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))

Compiler

Compiled 10918 to 6364 computations (41.7% saved)

series778.0ms (5%)

Error

0.7b

Counts

4 → 27

Calls

4 calls:

363.0ms	(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
150.0ms	(*.f64 (pow.f64 a 4) (pow.f64 c 4))
121.0ms	(pow.f64 (*.f64 a c) 3)
92.0ms	(.f64 (.f64 a c) (*.f64 a c))

Compiler

Compiled 4059 to 2811 computations (30.7% saved)

simplify109.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

219 → 219

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5427	3066

prune769.0ms (5%)

Pruning

18 alts after pruning (16 fresh and 2 done)

	Pruned	Kept	Total
New	218	1	219
Fresh	0	15	15
Picked	0	1	1
Done	0	1	1
Total	218	18	236

Error

0.7b

Counts

236 → 18

Compiler

Compiled 12146 to 7147 computations (41.2% saved)

localize29.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(-.f64 (-.f64 (.f64 -2 (/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))) (/.f64 (.f64 a (*.f64 c c)) (pow.f64 b 3))) (/.f64 c b))
0.3b	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
0.3b	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
0.4b	(.f64 (.f64 a a) (pow.f64 c 3))

rewrite432.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Error

0.6b

Rules

97×	`add-exp-log_binary64_116`
45×	`prod-exp_binary64_127`
41×	`times-frac_binary64_84`
36×	`add-sqr-sqrt_binary64_100`
30×	`*-un-lft-identity_binary64_78` `div-exp_binary64_129`
29×	`cancel-sign-sub-inv_binary64_44`
28×	`add-cube-cbrt_binary64_113`
27×	`add-cbrt-cube_binary64_114`
19×	`unpow-prod-down_binary64_157` `associate-/r*_binary64_22`
18×	`pow-to-exp_binary64_147` `pow-exp_binary64_146`
17×	`associate--l+_binary64_15`
13×	`cube-prod_binary64_106`
12×	`associate-r_binary64_18`
9×	`add-log-exp_binary64_117` `cbrt-unprod_binary64_111`
7×	`sqr-pow_binary64_50`
6×	`cbrt-undiv_binary64_112`
4×	`pow1_binary64_139` `unswap-sqr_binary64_46` `unpow3_binary64_144` `cube-mult_binary64_108` `div-inv_binary64_75` `frac-sub_binary64_87`
3×	`diff-log_binary64_170`
2×	`frac-2neg_binary64_89` `clear-num_binary64_77` `associate-/l*_binary64_23` `flip3--_binary64_82` `flip--_binary64_53` `sub-neg_binary64_71` `difference-of-squares_binary64_47`
1×	`associate-l_binary64_19` `-commutative_binary64_9` `associate-r/_binary64_20` `distribute-lft-out--_binary64_30` `associate--l-_binary64_16`

Counts

4 → 178

Calls

4 calls:

30.0ms	(-.f64 (-.f64 (.f64 -2 (/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))) (/.f64 (.f64 a (*.f64 c c)) (pow.f64 b 3))) (/.f64 c b))
13.0ms	(/.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))

Compiler

Compiled 6507 to 3314 computations (49.1% saved)

series1.1s (7.1%)

Error

0.7b

Counts

4 → 41

Calls

4 calls:

422.0ms	(-.f64 (-.f64 (.f64 -2 (/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))) (/.f64 (.f64 a (*.f64 c c)) (pow.f64 b 3))) (/.f64 c b))
305.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
220.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
99.0ms	(.f64 (.f64 a a) (pow.f64 c 3))

Compiler

Compiled 2682 to 1976 computations (26.3% saved)

simplify106.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

219 → 219

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4979	4461
1	4979	4461

prune373.0ms (2.4%)

Pruning

18 alts after pruning (16 fresh and 2 done)

	Pruned	Kept	Total
New	215	4	219
Fresh	3	12	15
Picked	1	0	1
Done	0	2	2
Total	219	18	237

Error

0.6b

Counts

237 → 18

Compiler

Compiled 6704 to 3315 computations (50.6% saved)

regimes1.1s (7.4%)

Accuracy

Total 5.2b remaining (89%)

Threshold costs 0b (0%)

Compiler

Compiled 15152 to 10478 computations (30.8% saved)

bsearch0.0ms (0%)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	201	63
1	201	63

end0.0ms (0%)

sample4.8s (30.6%)

Algorithm

1×

intervals

Results

484.0ms	7708×	body	128	valid
327.0ms	8853×	pre	128	true
47.0ms	853×	body	128	nan
35.0ms	292×	body	256	valid

Compiler

Compiled 3850 to 2669 computations (30.7% saved)

Details

analyze571.0ms (3.7%)

sample45.0ms (0.3%)

simplify437.0ms (2.8%)

prune4.0ms (0%)

localize10.0ms (0.1%)

rewrite511.0ms (3.3%)

series766.0ms (4.9%)

simplify97.0ms (0.6%)

prune189.0ms (1.2%)

localize43.0ms (0.3%)

rewrite644.0ms (4.1%)

series1.1s (6.8%)

simplify132.0ms (0.8%)

prune655.0ms (4.2%)

localize35.0ms (0.2%)

rewrite735.0ms (4.7%)

series778.0ms (5%)

simplify109.0ms (0.7%)

prune769.0ms (5%)

localize29.0ms (0.2%)

rewrite432.0ms (2.8%)

series1.1s (7.1%)

simplify106.0ms (0.7%)

prune373.0ms (2.4%)

regimes1.1s (7.4%)

bsearch0.0ms (0%)

simplify5.0ms (0%)

end0.0ms (0%)

sample4.8s (30.6%)

Profiling