Details

analyze1.4s (11.4%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5233	91
0	4	4
1	4	4

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
28.1%	68.6%	3.3%	10
29.6%	65.5%	4.9%	11
32%	61.7%	6.3%	12
35.5%	56.9%	7.6%	13
48%	38.7%	13.4%	14

Symmetry

(sort d2 d4)

Compiler

Compiled 16 to 12 computations (25% saved)

sample48.0ms (0.4%)

Algorithm

1×

intervals

Results

13.0ms	256×	body	128	valid
4.0ms	80×	body	128	invalid

Compiler

Compiled 31 to 27 computations (12.9% saved)

simplify109.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (104.0ms)

Iter	Nodes	Cost
0	1064	13
1	1064	13

prune4.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Error

0.0b

Counts

2 → 2

Compiler

Compiled 33 to 27 computations (18.2% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (+.f64 (-.f64 (.f64 d1 d2) (.f64 d1 d3)) (.f64 d4 d1)) (.f64 d1 d1))
0.0b	(-.f64 (.f64 d1 d2) (.f64 d1 d3))
0.0b	(+.f64 (-.f64 (.f64 d1 d2) (.f64 d1 d3)) (*.f64 d4 d1))

rewrite68.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

19×	`add-log-exp_binary64_4209`
6×	`diff-log_binary64_4262`
4×	`sum-log_binary64_4261` `add-sqr-sqrt_binary64_4192`
3×	`pow1_binary64_4231` `add-exp-log_binary64_4208` `add-cbrt-cube_binary64_4206` `add-cube-cbrt_binary64_4205` `*-un-lft-identity_binary64_4170` `sub-neg_binary64_4163` `cancel-sign-sub-inv_binary64_4136`
2×	`associate-+l-_binary64_4105` `associate-+l+_binary64_4103` `flip3--_binary64_4174` `flip--_binary64_4145`
1×	`flip3-+_binary64_4173` `flip-+_binary64_4144` `+-commutative_binary64_4100` `distribute-lft-out--_binary64_4122` `difference-of-squares_binary64_4139` `associate--l-_binary64_4108` `associate--l+_binary64_4107`

Counts

3 → 45

Calls

3 calls:

15.0ms	(-.f64 (+.f64 (-.f64 (.f64 d1 d2) (.f64 d1 d3)) (.f64 d4 d1)) (.f64 d1 d1))
7.0ms	(-.f64 (.f64 d1 d2) (.f64 d1 d3))
7.0ms	(+.f64 (-.f64 (.f64 d1 d2) (.f64 d1 d3)) (*.f64 d4 d1))

Compiler

Compiled 1129 to 181 computations (84% saved)

series786.0ms (6.2%)

Error

0.0b

Counts

3 → 60

Calls

3 calls:

362.0ms	(-.f64 (+.f64 (-.f64 (.f64 d1 d2) (.f64 d1 d3)) (.f64 d4 d1)) (.f64 d1 d1))
257.0ms	(+.f64 (-.f64 (.f64 d1 d2) (.f64 d1 d3)) (*.f64 d4 d1))
128.0ms	(-.f64 (.f64 d1 d2) (.f64 d1 d3))

Compiler

Compiled 1889 to 1092 computations (42.2% saved)

simplify58.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5185	1207

prune82.0ms (0.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	105	0	105
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	105	2	107

Error

0.0b

Counts

107 → 2

Compiler

Compiled 1379 to 207 computations (85% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 d1 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)))

rewrite33.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

12×	`*-un-lft-identity_binary64_4170`
6×	`associate-r_binary64_4110`
5×	`add-sqr-sqrt_binary64_4192`
3×	`pow1_binary64_4231` `add-exp-log_binary64_4208` `add-cbrt-cube_binary64_4206` `add-cube-cbrt_binary64_4205` `associate-l_binary64_4111` `distribute-lft-out_binary64_4121` `distribute-lft-out--_binary64_4122`
2×	`associate-*r/_binary64_4112`
1×	`pow-prod-down_binary64_4241` `prod-exp_binary64_4219` `add-log-exp_binary64_4209` `cbrt-unprod_binary64_4203` `unswap-sqr_binary64_4138` `distribute-rgt-in_binary64_4120` `distribute-lft-in_binary64_4119` `flip3-+_binary64_4173` `flip-+_binary64_4144` `*-commutative_binary64_4101`

Counts

1 → 25

Calls

1 calls:

12.0ms

(*.f64 d1 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)))

Compiler

Compiled 427 to 89 computations (79.2% saved)

series241.0ms (1.9%)

Error

0.0b

Counts

1 → 24

Calls

1 calls:

221.0ms

(*.f64 d1 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)))

Compiler

Compiled 660 to 445 computations (32.6% saved)

simplify80.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4967	600
1	4967	600

prune30.0ms (0.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	48	1	49
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	48	3	51

Error

0.0b

Counts

51 → 3

Compiler

Compiled 571 to 101 computations (82.3% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (-.f64 d2 (+.f64 d1 d3)) (-.f64 d2 (+.f64 d1 d3)))
4.2b	(-.f64 (.f64 d4 d4) (.f64 (-.f64 d2 (+.f64 d1 d3)) (-.f64 d2 (+.f64 d1 d3))))
9.2b	(.f64 d1 (-.f64 (.f64 d4 d4) (*.f64 (-.f64 d2 (+.f64 d1 d3)) (-.f64 d2 (+.f64 d1 d3)))))
28.0b	(/.f64 (.f64 d1 (-.f64 (.f64 d4 d4) (*.f64 (-.f64 d2 (+.f64 d1 d3)) (-.f64 d2 (+.f64 d1 d3))))) (-.f64 d4 (-.f64 (-.f64 d2 d3) d1)))

rewrite232.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

86×	`*-un-lft-identity_binary64_4170`
32×	`add-sqr-sqrt_binary64_4192`
28×	`distribute-lft-out--_binary64_4122`
19×	`cancel-sign-sub-inv_binary64_4136`
16×	`add-cube-cbrt_binary64_4205`
13×	`pow1_binary64_4231` `add-exp-log_binary64_4208` `add-cbrt-cube_binary64_4206`
12×	`distribute-rgt-in_binary64_4120` `distribute-lft-in_binary64_4119` `distribute-lft-out_binary64_4121` `swap-sqr_binary64_4137`
10×	`flip3--_binary64_4174` `flip--_binary64_4145` `associate-r_binary64_4110` `associate--r+_binary64_4106`
9×	`associate-l_binary64_4111`
8×	`difference-of-squares_binary64_4139`
7×	`times-frac_binary64_4176` `associate-/r*_binary64_4114` `sub-neg_binary64_4163`
6×	`add-log-exp_binary64_4209` `associate-*r/_binary64_4112`
4×	`frac-times_binary64_4180`
3×	`prod-exp_binary64_4219` `cbrt-unprod_binary64_4203`
2×	`div-exp_binary64_4221` `cbrt-undiv_binary64_4204` `associate-/l/_binary64_4117` `associate-/r/_binary64_4116` `pow-prod-down_binary64_4241` `unswap-sqr_binary64_4138` `-commutative_binary64_4101` `associate-l/_binary64_4113`
1×	`frac-2neg_binary64_4181` `clear-num_binary64_4169` `div-inv_binary64_4167` `associate-/l*_binary64_4115` `diff-log_binary64_4262` `pow2_binary64_4251` `pow-prod-up_binary64_4240` `pow-plus_binary64_4233` `pow-sqr_binary64_4143`

Counts

4 → 139

Calls

4 calls:

20.0ms	(*.f64 (-.f64 d2 (+.f64 d1 d3)) (-.f64 d2 (+.f64 d1 d3)))
15.0ms	(/.f64 (.f64 d1 (-.f64 (.f64 d4 d4) (*.f64 (-.f64 d2 (+.f64 d1 d3)) (-.f64 d2 (+.f64 d1 d3))))) (-.f64 d4 (-.f64 (-.f64 d2 d3) d1)))
10.0ms	(-.f64 (.f64 d4 d4) (.f64 (-.f64 d2 (+.f64 d1 d3)) (-.f64 d2 (+.f64 d1 d3))))
7.0ms	(.f64 d1 (-.f64 (.f64 d4 d4) (*.f64 (-.f64 d2 (+.f64 d1 d3)) (-.f64 d2 (+.f64 d1 d3)))))

Compiler

Compiled 5197 to 709 computations (86.4% saved)

series3.3s (26.2%)

Error

0.0b

Counts

4 → 117

Calls

4 calls:

1.0s	(.f64 d1 (-.f64 (.f64 d4 d4) (*.f64 (-.f64 d2 (+.f64 d1 d3)) (-.f64 d2 (+.f64 d1 d3)))))
949.0ms	(/.f64 (.f64 d1 (-.f64 (.f64 d4 d4) (*.f64 (-.f64 d2 (+.f64 d1 d3)) (-.f64 d2 (+.f64 d1 d3))))) (-.f64 d4 (-.f64 (-.f64 d2 d3) d1)))
891.0ms	(-.f64 (.f64 d4 d4) (.f64 (-.f64 d2 (+.f64 d1 d3)) (-.f64 d2 (+.f64 d1 d3))))
239.0ms	(*.f64 (-.f64 d2 (+.f64 d1 d3)) (-.f64 d2 (+.f64 d1 d3)))

Compiler

Compiled 10569 to 6490 computations (38.6% saved)

simplify140.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

256 → 256

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4986	7470
1	4986	7470

prune281.0ms (2.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	255	1	256
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	255	4	259

Error

Counts

259 → 4

Compiler

Compiled 8148 to 1535 computations (81.2% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 d1 (/.f64 (-.f64 (.f64 d4 d4) (*.f64 (-.f64 d2 (+.f64 d1 d3)) (-.f64 d2 (+.f64 d1 d3)))) (-.f64 d4 (-.f64 d2 (+.f64 d1 d3)))))
0.0b	(*.f64 (-.f64 d2 (+.f64 d1 d3)) (-.f64 d2 (+.f64 d1 d3)))
4.2b	(-.f64 (.f64 d4 d4) (.f64 (-.f64 d2 (+.f64 d1 d3)) (-.f64 d2 (+.f64 d1 d3))))
31.3b	(/.f64 (-.f64 (.f64 d4 d4) (.f64 (-.f64 d2 (+.f64 d1 d3)) (-.f64 d2 (+.f64 d1 d3)))) (-.f64 d4 (-.f64 d2 (+.f64 d1 d3))))

rewrite328.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

171×	`*-un-lft-identity_binary64_4170`
71×	`add-sqr-sqrt_binary64_4192`
61×	`distribute-lft-out--_binary64_4122`
57×	`times-frac_binary64_4176`
40×	`associate-r_binary64_4110`
38×	`add-cube-cbrt_binary64_4205`
29×	`difference-of-squares_binary64_4139`
21×	`distribute-lft-out_binary64_4121`
17×	`cancel-sign-sub-inv_binary64_4136`
13×	`pow1_binary64_4231` `add-exp-log_binary64_4208` `add-cbrt-cube_binary64_4206`
12×	`swap-sqr_binary64_4137`
10×	`flip3--_binary64_4174` `flip--_binary64_4145` `distribute-rgt-in_binary64_4120` `associate--r+_binary64_4106` `distribute-lft-in_binary64_4119`
9×	`associate-l_binary64_4111`
7×	`associate-/r*_binary64_4114`
6×	`add-log-exp_binary64_4209`
5×	`sub-neg_binary64_4163`
4×	`associate-/r/_binary64_4116` `associate-/l*_binary64_4115` `frac-times_binary64_4180`
3×	`prod-exp_binary64_4219` `cbrt-unprod_binary64_4203` `unswap-sqr_binary64_4138` `associate-*r/_binary64_4112`
2×	`div-exp_binary64_4221` `cbrt-undiv_binary64_4204` `div-inv_binary64_4167` `associate-/l/_binary64_4117` `pow-prod-down_binary64_4241` `associate-l/_binary64_4113` `-commutative_binary64_4101`
1×	`frac-2neg_binary64_4181` `div-sub_binary64_4175` `clear-num_binary64_4169` `diff-log_binary64_4262` `pow2_binary64_4251` `pow-prod-up_binary64_4240` `pow-plus_binary64_4233` `pow-sqr_binary64_4143`

Counts

4 → 190

Calls

4 calls:

28.0ms	(.f64 d1 (/.f64 (-.f64 (.f64 d4 d4) (*.f64 (-.f64 d2 (+.f64 d1 d3)) (-.f64 d2 (+.f64 d1 d3)))) (-.f64 d4 (-.f64 d2 (+.f64 d1 d3)))))
18.0ms	(/.f64 (-.f64 (.f64 d4 d4) (.f64 (-.f64 d2 (+.f64 d1 d3)) (-.f64 d2 (+.f64 d1 d3)))) (-.f64 d4 (-.f64 d2 (+.f64 d1 d3))))
15.0ms	(*.f64 (-.f64 d2 (+.f64 d1 d3)) (-.f64 d2 (+.f64 d1 d3)))
15.0ms	(-.f64 (.f64 d4 d4) (.f64 (-.f64 d2 (+.f64 d1 d3)) (-.f64 d2 (+.f64 d1 d3))))

Compiler

Compiled 7704 to 904 computations (88.3% saved)

series2.8s (22.5%)

Error

Counts

4 → 108

Calls

4 calls:

853.0ms	(.f64 d1 (/.f64 (-.f64 (.f64 d4 d4) (*.f64 (-.f64 d2 (+.f64 d1 d3)) (-.f64 d2 (+.f64 d1 d3)))) (-.f64 d4 (-.f64 d2 (+.f64 d1 d3)))))
832.0ms	(/.f64 (-.f64 (.f64 d4 d4) (.f64 (-.f64 d2 (+.f64 d1 d3)) (-.f64 d2 (+.f64 d1 d3)))) (-.f64 d4 (-.f64 d2 (+.f64 d1 d3))))
777.0ms	(-.f64 (.f64 d4 d4) (.f64 (-.f64 d2 (+.f64 d1 d3)) (-.f64 d2 (+.f64 d1 d3))))
224.0ms	(*.f64 (-.f64 d2 (+.f64 d1 d3)) (-.f64 d2 (+.f64 d1 d3)))

Compiler

Compiled 10155 to 5847 computations (42.4% saved)

simplify142.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

298 → 298

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5001	9055

prune325.0ms (2.6%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	298	0	298
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	298	4	302

Error

Counts

302 → 4

Compiler

Compiled 9601 to 1568 computations (83.7% saved)

regimes378.0ms (3%)

Accuracy

Total 0.0b remaining (73.7%)

Threshold costs 0.0b (73.7%)

Compiler

Compiled 2238 to 1789 computations (20.1% saved)

bsearch0.0ms (0%)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	40	19
1	40	19

Remove

(sort d2 d4)

Compiler

Compiled 26 to 20 computations (23.1% saved)

end0.0ms (0%)

sample1.6s (12.7%)

Algorithm

1×

intervals

Results

428.0ms	8000×	body	128	valid
128.0ms	2260×	body	128	invalid

Compiler

Compiled 478 to 381 computations (20.3% saved)

Details

analyze1.4s (11.4%)

sample48.0ms (0.4%)

simplify109.0ms (0.9%)

prune4.0ms (0%)

localize10.0ms (0.1%)

rewrite68.0ms (0.5%)

series786.0ms (6.2%)

simplify58.0ms (0.5%)

prune82.0ms (0.6%)

localize7.0ms (0.1%)

rewrite33.0ms (0.3%)

series241.0ms (1.9%)

simplify80.0ms (0.6%)

prune30.0ms (0.2%)

localize19.0ms (0.2%)

rewrite232.0ms (1.8%)

series3.3s (26.2%)

simplify140.0ms (1.1%)

prune281.0ms (2.2%)

localize11.0ms (0.1%)

rewrite328.0ms (2.6%)

series2.8s (22.5%)

simplify142.0ms (1.1%)

prune325.0ms (2.6%)

regimes378.0ms (3%)

bsearch0.0ms (0%)

simplify9.0ms (0.1%)

end0.0ms (0%)

sample1.6s (12.7%)

Profiling