Details

analyze426.0ms (4.3%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5007	54
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
15.6%	84.3%	0.1%	6
37.5%	62.4%	0.1%	7
46.8%	53.1%	0.1%	8
57.8%	39.8%	2.4%	9
64.6%	30.4%	5%	10
71.8%	20.3%	7.9%	11
74.1%	16.2%	9.7%	12
77.4%	10.7%	12%	13
78.6%	8.4%	13%	14

Compiler

Compiled 22 to 18 computations (18.2% saved)

sample24.0ms (0.2%)

Algorithm

1×

intervals

Results

13.0ms	256×	body	128	valid
1.0ms	10×	body	128	invalid

Compiler

Compiled 43 to 37 computations (14% saved)

simplify67.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5241	29

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

14.6b

Counts

2 → 2

Compiler

Compiled 59 to 47 computations (20.3% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (/.f64 1 a) (/.f64 1 b))
0.5b	(/.f64 (/.f64 PI.f64 2) (-.f64 (.f64 b b) (.f64 a a)))
5.2b	(-.f64 (.f64 b b) (.f64 a a))
8.7b	(.f64 (/.f64 (/.f64 PI.f64 2) (-.f64 (.f64 b b) (*.f64 a a))) (-.f64 (/.f64 1 a) (/.f64 1 b)))

rewrite626.0ms (6.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

251×	`times-frac_binary64_766`
178×	`add-sqr-sqrt_binary64_782`
153×	`*-un-lft-identity_binary64_760`
121×	`add-cube-cbrt_binary64_795`
58×	`associate-l_binary64_701`
46×	`difference-of-squares_binary64_729`
40×	`cancel-sign-sub-inv_binary64_726`
22×	`div-inv_binary64_757`
19×	`associate-r_binary64_700`
18×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
14×	`distribute-rgt-in_binary64_710` `distribute-lft-in_binary64_709` `distribute-lft-out--_binary64_712`
13×	`associate-/l*_binary64_705`
8×	`add-log-exp_binary64_799`
6×	`pow1_binary64_821` `div-exp_binary64_811` `cbrt-undiv_binary64_794` `flip3--_binary64_764` `flip--_binary64_735`
4×	`sub-neg_binary64_753` `associate-/r/_binary64_706` `associate-/r*_binary64_704`
3×	`prod-exp_binary64_809` `cbrt-unprod_binary64_793` `frac-sub_binary64_769` `frac-times_binary64_770` `unswap-sqr_binary64_728` `associate-*r/_binary64_702`
2×	`diff-log_binary64_852`
1×	`pow-prod-down_binary64_831` `associate-l/_binary64_703` `-commutative_binary64_691` `frac-2neg_binary64_771` `clear-num_binary64_759` `associate-/l/_binary64_707`

Counts

4 → 270

Calls

4 calls:

52.0ms	(.f64 (/.f64 (/.f64 PI.f64 2) (-.f64 (.f64 b b) (*.f64 a a))) (-.f64 (/.f64 1 a) (/.f64 1 b)))
15.0ms	(-.f64 (/.f64 1 a) (/.f64 1 b))
10.0ms	(/.f64 (/.f64 PI.f64 2) (-.f64 (.f64 b b) (.f64 a a)))
4.0ms	(-.f64 (.f64 b b) (.f64 a a))

Compiler

Compiled 8765 to 4259 computations (51.4% saved)

series415.0ms (4.2%)

Error

8.8b

Counts

4 → 39

Calls

4 calls:

124.0ms	(.f64 (/.f64 (/.f64 PI.f64 2) (-.f64 (.f64 b b) (*.f64 a a))) (-.f64 (/.f64 1 a) (/.f64 1 b)))
122.0ms	(-.f64 (.f64 b b) (.f64 a a))
66.0ms	(-.f64 (/.f64 1 a) (/.f64 1 b))
56.0ms	(/.f64 (/.f64 PI.f64 2) (-.f64 (.f64 b b) (.f64 a a)))

Compiler

Compiled 1743 to 1371 computations (21.3% saved)

simplify192.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

309 → 309

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	5130	8327

prune449.0ms (4.5%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	301	8	309
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	303	8	311

Error

0.0b

Counts

311 → 8

Compiler

Compiled 8749 to 4173 computations (52.3% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.2b	(/.f64 (.f64 (/.f64 (/.f64 PI.f64 2) (+.f64 a b)) 1) (.f64 a b))
0.2b	(/.f64 (/.f64 PI.f64 2) (+.f64 a b))

rewrite243.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

98×	`times-frac_binary64_766`
79×	`*-un-lft-identity_binary64_760`
60×	`add-exp-log_binary64_798`
51×	`add-cube-cbrt_binary64_795` `add-sqr-sqrt_binary64_782`
39×	`add-cbrt-cube_binary64_796`
29×	`div-exp_binary64_811`
19×	`prod-exp_binary64_809`
17×	`cbrt-undiv_binary64_794`
14×	`distribute-lft-out_binary64_711` `associate-/l*_binary64_705`
10×	`cbrt-unprod_binary64_793`
7×	`div-inv_binary64_757`
6×	`1-exp_binary64_804`
5×	`associate-/r*_binary64_704`
2×	`pow1_binary64_821` `add-log-exp_binary64_799` `frac-2neg_binary64_771` `clear-num_binary64_759` `associate-/l/_binary64_707` `associate-/r/_binary64_706`
1×	`flip3-+_binary64_763` `flip-+_binary64_734` `associate-*l/_binary64_703`

Counts

2 → 122

Calls

2 calls:

25.0ms	(/.f64 (.f64 (/.f64 (/.f64 PI.f64 2) (+.f64 a b)) 1) (.f64 a b))
11.0ms	(/.f64 (/.f64 PI.f64 2) (+.f64 a b))

Compiler

Compiled 2889 to 1439 computations (50.2% saved)

series151.0ms (1.5%)

Error

0.0b

Counts

2 → 18

Calls

2 calls:

84.0ms	(/.f64 (.f64 (/.f64 (/.f64 PI.f64 2) (+.f64 a b)) 1) (.f64 a b))
52.0ms	(/.f64 (/.f64 PI.f64 2) (+.f64 a b))

Compiler

Compiled 762 to 592 computations (22.3% saved)

simplify108.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4955	2864
1	4955	2864

prune181.0ms (1.8%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	135	5	140
Fresh	6	1	7
Picked	1	0	1
Done	0	0	0
Total	142	6	148

Error

0.0b

Counts

148 → 6

Compiler

Compiled 2729 to 1336 computations (51% saved)

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 1/2 (+.f64 b a))
0.2b	(/.f64 (.f64 (.f64 PI.f64 (/.f64 1/2 (+.f64 b a))) 1) (*.f64 a b))
0.3b	(*.f64 PI.f64 (/.f64 1/2 (+.f64 b a)))

rewrite180.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

63×	`add-exp-log_binary64_798`
42×	`add-cbrt-cube_binary64_796`
35×	`*-un-lft-identity_binary64_760`
29×	`prod-exp_binary64_809`
26×	`add-sqr-sqrt_binary64_782` `times-frac_binary64_766`
21×	`add-cube-cbrt_binary64_795`
20×	`div-exp_binary64_811`
18×	`associate-r_binary64_700`
16×	`cbrt-unprod_binary64_793`
12×	`cbrt-undiv_binary64_794`
7×	`distribute-lft-out_binary64_711`
6×	`1-exp_binary64_804`
5×	`pow1_binary64_821` `associate-/r*_binary64_704`
4×	`associate-/r/_binary64_706` `associate-/l*_binary64_705`
3×	`add-log-exp_binary64_799` `associate-l_binary64_701` `div-inv_binary64_757`
2×	`unswap-sqr_binary64_728` `associate-*r/_binary64_702` `flip3-+_binary64_763` `flip-+_binary64_734` `frac-2neg_binary64_771` `clear-num_binary64_759`
1×	`pow-prod-down_binary64_831` `-commutative_binary64_691` `associate-l/_binary64_703` `associate-/l/_binary64_707`

Counts

3 → 106

Calls

3 calls:

16.0ms	(/.f64 (.f64 (.f64 PI.f64 (/.f64 1/2 (+.f64 b a))) 1) (*.f64 a b))
14.0ms	(*.f64 PI.f64 (/.f64 1/2 (+.f64 b a)))
7.0ms	(/.f64 1/2 (+.f64 b a))

Compiler

Compiled 2308 to 1153 computations (50% saved)

series252.0ms (2.5%)

Error

0.0b

Counts

3 → 27

Calls

3 calls:

85.0ms	(/.f64 (.f64 (.f64 PI.f64 (/.f64 1/2 (+.f64 b a))) 1) (*.f64 a b))
68.0ms	(/.f64 1/2 (+.f64 b a))
65.0ms	(*.f64 PI.f64 (/.f64 1/2 (+.f64 b a)))

Compiler

Compiled 1176 to 916 computations (22.1% saved)

simplify115.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5254	1912

prune142.0ms (1.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	132	1	133
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	132	7	139

Error

Counts

139 → 7

Compiler

Compiled 2289 to 1164 computations (49.1% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (/.f64 1 a) (/.f64 1 b))
0.2b	(.f64 (/.f64 1 (+.f64 b a)) (.f64 (-.f64 (/.f64 1 a) (/.f64 1 b)) (/.f64 (/.f64 PI.f64 2) (-.f64 b a))))
0.3b	(/.f64 (/.f64 PI.f64 2) (-.f64 b a))
0.3b	(*.f64 (-.f64 (/.f64 1 a) (/.f64 1 b)) (/.f64 (/.f64 PI.f64 2) (-.f64 b a)))

rewrite880.0ms (8.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

289×	`times-frac_binary64_766`
240×	`add-sqr-sqrt_binary64_782`
221×	`*-un-lft-identity_binary64_760`
129×	`add-cube-cbrt_binary64_795`
78×	`add-exp-log_binary64_798`
72×	`associate-r_binary64_700`
50×	`add-cbrt-cube_binary64_796`
45×	`difference-of-squares_binary64_729`
41×	`distribute-lft-out--_binary64_712`
37×	`associate-l_binary64_701`
31×	`prod-exp_binary64_809`
26×	`div-exp_binary64_811`
23×	`div-inv_binary64_757`
17×	`cbrt-unprod_binary64_793`
16×	`cbrt-undiv_binary64_794` `frac-times_binary64_770`
13×	`associate-/l*_binary64_705` `cancel-sign-sub-inv_binary64_726`
11×	`pow1_binary64_821`
10×	`associate-l/_binary64_703` `associate-r/_binary64_702`
9×	`flip3--_binary64_764` `flip--_binary64_735`
7×	`frac-sub_binary64_769`
6×	`add-log-exp_binary64_799` `associate-/r/_binary64_706`
5×	`associate-/r*_binary64_704`
4×	`pow-prod-down_binary64_831` `1-exp_binary64_804` `rec-exp_binary64_810`
3×	`unswap-sqr_binary64_728` `distribute-lft-out_binary64_711`
2×	`*-commutative_binary64_691`
1×	`frac-2neg_binary64_771` `clear-num_binary64_759` `associate-/l/_binary64_707` `flip3-+_binary64_763` `flip-+_binary64_734` `diff-log_binary64_852` `sub-neg_binary64_753`

Counts

4 → 324

Calls

4 calls:

69.0ms	(*.f64 (-.f64 (/.f64 1 a) (/.f64 1 b)) (/.f64 (/.f64 PI.f64 2) (-.f64 b a)))
37.0ms	(.f64 (/.f64 1 (+.f64 b a)) (.f64 (-.f64 (/.f64 1 a) (/.f64 1 b)) (/.f64 (/.f64 PI.f64 2) (-.f64 b a))))
16.0ms	(-.f64 (/.f64 1 a) (/.f64 1 b))
9.0ms	(/.f64 (/.f64 PI.f64 2) (-.f64 b a))

Compiler

Compiled 10692 to 6167 computations (42.3% saved)

series397.0ms (4%)

Error

Counts

4 → 36

Calls

4 calls:

124.0ms	(*.f64 (-.f64 (/.f64 1 a) (/.f64 1 b)) (/.f64 (/.f64 PI.f64 2) (-.f64 b a)))
92.0ms	(-.f64 (/.f64 1 a) (/.f64 1 b))
71.0ms	(.f64 (/.f64 1 (+.f64 b a)) (.f64 (-.f64 (/.f64 1 a) (/.f64 1 b)) (/.f64 (/.f64 PI.f64 2) (-.f64 b a))))
56.0ms	(/.f64 (/.f64 PI.f64 2) (-.f64 b a))

Compiler

Compiled 1779 to 1324 computations (25.6% saved)

simplify172.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

360 → 360

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	5345	8737

prune616.0ms (6.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	360	0	360
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	360	7	367

Error

Counts

367 → 7

Compiler

Compiled 10149 to 5568 computations (45.1% saved)

regimes697.0ms (7.1%)

Accuracy

Total 0.2b remaining (99.9%)

Threshold costs 0.2b (99.9%)

Compiler

Compiled 9538 to 6879 computations (27.9% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	17
1	12	17

end0.0ms (0%)

sample3.5s (35.4%)

Algorithm

1×

intervals

Results

499.0ms	8000×	body	128	valid
23.0ms	381×	body	128	invalid

Compiler

Compiled 3197 to 2308 computations (27.8% saved)

Details

analyze426.0ms (4.3%)

sample24.0ms (0.2%)

simplify67.0ms (0.7%)

prune4.0ms (0%)

localize11.0ms (0.1%)

rewrite626.0ms (6.3%)

series415.0ms (4.2%)

simplify192.0ms (1.9%)

prune449.0ms (4.5%)

localize8.0ms (0.1%)

rewrite243.0ms (2.5%)

series151.0ms (1.5%)

simplify108.0ms (1.1%)

prune181.0ms (1.8%)

localize14.0ms (0.1%)

rewrite180.0ms (1.8%)

series252.0ms (2.5%)

simplify115.0ms (1.2%)

prune142.0ms (1.4%)

localize17.0ms (0.2%)

rewrite880.0ms (8.9%)

series397.0ms (4%)

simplify172.0ms (1.7%)

prune616.0ms (6.2%)

regimes697.0ms (7.1%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample3.5s (35.4%)

Profiling