Details

analyze486.0ms (3.8%)

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

Symmetry

Compiler

Compiled 30 to 24 computations (20% saved)

sample291.0ms (2.3%)

Algorithm

1×

intervals

Results

261.0ms	277×	pre	128	true
12.0ms	246×	body	128	valid
1.0ms	10×	body	256	valid
1.0ms	21×	body	128	nan

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify316.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (311.0ms)

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

28.4b

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 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
0.3b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
28.2b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)

rewrite142.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

26.2b

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:

11.0ms	(/.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)
7.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
4.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))

Compiler

Compiled 2100 to 1220 computations (41.9% saved)

series692.0ms (5.4%)

Error

1.2b

Counts

4 → 72

Calls

4 calls:

204.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
158.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
145.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
108.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 3306 to 2519 computations (23.8% saved)

simplify78.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5207	3272

prune174.0ms (1.3%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	130	16	146
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	131	16	147

Error

0.8b

Counts

147 → 16

Compiler

Compiled 3569 to 1948 computations (45.4% saved)

localize30.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite544.0ms (4.2%)

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` `pow-exp_binary64_146` `div-exp_binary64_129`
29×	`unpow-prod-down_binary64_157`
25×	`add-cbrt-cube_binary64_114`
22×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
19×	`associate-r_binary64_18` `times-frac_binary64_84` `associate-/r*_binary64_22`
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×	`-commutative_binary64_9` `frac-2neg_binary64_89` `clear-num_binary64_77` `div-inv_binary64_75` `associate-/l_binary64_23`

Counts

4 → 186

Calls

4 calls:

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

series789.0ms (6.1%)

Error

0.8b

Counts

4 → 30

Calls

4 calls:

325.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
194.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
111.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))
109.0ms	(.f64 (.f64 a a) (pow.f64 c 3))

Compiler

Compiled 3690 to 2656 computations (28% saved)

simplify96.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

216 → 216

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4996	3175
1	4996	3175

prune557.0ms (4.3%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	214	2	216
Fresh	1	14	15
Picked	0	1	1
Done	0	0	0
Total	215	17	232

Error

0.8b

Counts

232 → 17

Compiler

Compiled 10106 to 5989 computations (40.7% saved)

localize28.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
0.4b	(/.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))
0.5b	(.f64 (.f64 a c) (*.f64 a c))
0.7b	(pow.f64 (*.f64 a c) 3)

rewrite660.0ms (5.1%)

Algorithm

1×	rewrite-expression-head

Error

0.8b

Rules

98×	`add-exp-log_binary64_116`
63×	`times-frac_binary64_84`
46×	`pow1_binary64_139`
42×	`unpow-prod-down_binary64_157` `div-exp_binary64_129`
40×	`pow-exp_binary64_146`
39×	`prod-exp_binary64_127`
36×	`pow-to-exp_binary64_147`
35×	`add-cube-cbrt_binary64_113` `add-sqr-sqrt_binary64_100` `*-un-lft-identity_binary64_78`
26×	`add-cbrt-cube_binary64_114`
20×	`sqr-pow_binary64_50`
18×	`pow-prod-down_binary64_149`
14×	`associate-/r*_binary64_22`
10×	`cbrt-unprod_binary64_111`
9×	`unpow3_binary64_144` `cube-mult_binary64_108` `cube-prod_binary64_106` `associate-/l*_binary64_23`
4×	`add-log-exp_binary64_117` `pow-prod-up_binary64_148` `pow-sqr_binary64_51`
3×	`pow-unpow_binary64_155` `cbrt-undiv_binary64_112`
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`
1×	`pow2_binary64_159` `swap-sqr_binary64_45` `associate-l_binary64_19` `associate-r_binary64_18` `*-commutative_binary64_9`

Counts

4 → 207

Calls

4 calls:

9.0ms	(.f64 (.f64 a c) (*.f64 a c))
9.0ms	(/.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))
7.0ms	(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
4.0ms	(pow.f64 (*.f64 a c) 3)

Compiler

Compiled 11684 to 6783 computations (41.9% saved)

series886.0ms (6.9%)

Error

0.8b

Counts

4 → 30

Calls

4 calls:

336.0ms	(/.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))
312.0ms	(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
97.0ms	(pow.f64 (*.f64 a c) 3)
85.0ms	(.f64 (.f64 a c) (*.f64 a c))

Compiler

Compiled 4500 to 3099 computations (31.1% saved)

simplify92.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

237 → 237

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4965	3551
1	4965	3551

prune742.0ms (5.7%)

Pruning

18 alts after pruning (16 fresh and 2 done)

	Pruned	Kept	Total
New	236	1	237
Fresh	0	15	15
Picked	0	1	1
Done	0	1	1
Total	236	18	254

Error

0.8b

Counts

254 → 18

Compiler

Compiled 12927 to 7576 computations (41.4% saved)

localize33.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.4b	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
0.4b	(*.f64 (pow.f64 a 3) (pow.f64 c 4))
0.4b	(.f64 (.f64 a a) (pow.f64 c 3))
28.1b	(log.f64 (exp.f64 (/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))))

rewrite461.0ms (3.6%)

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` `unpow3_binary64_144` `cube-mult_binary64_108` `*-commutative_binary64_9` `cbrt-undiv_binary64_112`
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 (pow.f64 a 3) (pow.f64 c 4))
9.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
8.0ms	(.f64 (.f64 a a) (pow.f64 c 3))
5.0ms	(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 (10.7%)

Error

0.8b

Counts

4 → 32

Calls

4 calls:

780.0ms	(log.f64 (exp.f64 (/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))))
323.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
111.0ms	(.f64 (.f64 a a) (pow.f64 c 3))
111.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))

Compiler

Compiled 3970 to 2849 computations (28.2% saved)

simplify64.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

194 → 194

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	4995	2948
1	4995	2948

prune501.0ms (3.9%)

Pruning

19 alts after pruning (16 fresh and 3 done)

	Pruned	Kept	Total
New	193	1	194
Fresh	0	15	15
Picked	0	1	1
Done	0	2	2
Total	193	19	212

Error

0.8b

Counts

212 → 19

Compiler

Compiled 9025 to 5478 computations (39.3% saved)

regimes825.0ms (6.4%)

Accuracy

Total 4.6b remaining (86.8%)

Threshold costs 0b (0%)

Compiler

Compiled 9788 to 7034 computations (28.1% saved)

bsearch26.0ms (0.2%)

Steps

Iters	Range		Point
3	0.2665383722498976	0.36876338472591436	0.36237432144616327

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	149	112
1	149	112

Removed

()

end0.0ms (0%)

sample3.0s (23.2%)

Algorithm

1×

intervals

Results

398.0ms	7694×	body	128	valid
279.0ms	8841×	pre	128	true
39.0ms	841×	body	128	nan
29.0ms	306×	body	256	valid

Compiler

Compiled 2542 to 1823 computations (28.3% saved)

Details

analyze486.0ms (3.8%)

sample291.0ms (2.3%)

simplify316.0ms (2.5%)

prune4.0ms (0%)

localize10.0ms (0.1%)

rewrite142.0ms (1.1%)

series692.0ms (5.4%)

simplify78.0ms (0.6%)

prune174.0ms (1.3%)

localize30.0ms (0.2%)

rewrite544.0ms (4.2%)

series789.0ms (6.1%)

simplify96.0ms (0.7%)

prune557.0ms (4.3%)

localize28.0ms (0.2%)

rewrite660.0ms (5.1%)

series886.0ms (6.9%)

simplify92.0ms (0.7%)

prune742.0ms (5.7%)

localize33.0ms (0.3%)

rewrite461.0ms (3.6%)

series1.4s (10.7%)

simplify64.0ms (0.5%)

prune501.0ms (3.9%)

regimes825.0ms (6.4%)

bsearch26.0ms (0.2%)

simplify5.0ms (0%)

end0.0ms (0%)

sample3.0s (23.2%)

Profiling