Details

analyze351.0ms (1.1%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4894	172
1	4894	172
0	3	3
1	3	3

Search

True	Other	False	Iter
0%	28.1%	71.9%	0
0%	28.1%	71.9%	1
0%	28.1%	71.9%	2
0%	28.1%	71.9%	3
3.5%	24.6%	71.9%	4
5.3%	22.8%	71.9%	5
10.5%	17.5%	71.9%	6
14%	14%	71.9%	7
19.1%	9%	71.9%	8
24.6%	3.5%	71.9%	9
25.1%	3%	71.9%	10
25.8%	2.3%	71.9%	11
26.3%	1.8%	71.9%	12
26.6%	1.5%	71.9%	13
26.9%	1.2%	71.9%	14

Compiler

Compiled 39 to 27 computations (30.8% saved)

sample42.0ms (0.1%)

Algorithm

1×

intervals

Results

14.0ms	218×	body	128	valid
6.0ms	256×	pre	128	true
4.0ms	17×	body	1024	valid
2.0ms	11×	body	512	valid
1.0ms	10×	body	256	valid

Compiler

Compiled 68 to 50 computations (26.5% saved)

simplify94.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (88.0ms)

Iter	Nodes	Cost
0	5371	43

prune3.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

21.0b

Counts

2 → 1

Compiler

Compiled 58 to 40 computations (31% saved)

localize16.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.1b

(/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2))

2.4b

(+.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1)

18.5b

(/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 2 i)))

rewrite429.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

10.1b

Rules

54×	`times-frac_binary64_1448`
47×	`*-un-lft-identity_binary64_1442`
25×	`add-cube-cbrt_binary64_1477` `add-sqr-sqrt_binary64_1464`
17×	`add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
14×	`associate-/r/_binary64_1388`
11×	`flip3-+_binary64_1445` `flip-+_binary64_1416` `distribute-lft-out_binary64_1393`
10×	`associate-/l*_binary64_1387`
9×	`associate-/l/_binary64_1389`
7×	`div-exp_binary64_1493` `cbrt-undiv_binary64_1476` `div-inv_binary64_1439` `associate-/r*_binary64_1386`
5×	`add-log-exp_binary64_1481`
4×	`frac-times_binary64_1452`
3×	`pow1_binary64_1503` `flip3--_binary64_1446` `flip--_binary64_1417`
2×	`prod-exp_binary64_1491` `cbrt-unprod_binary64_1475` `frac-2neg_binary64_1453` `clear-num_binary64_1441` `associate-l/_binary64_1385` `associate-r/_binary64_1384`
1×	`sum-log_binary64_1533` `+-commutative_binary64_1372`

Counts

3 → 111

Calls

3 calls:

44.0ms

(+.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1)

27.0ms

(/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2))

16.0ms

(/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 2 i)))

Compiler

Compiled 5370 to 2710 computations (49.5% saved)

series2.2s (7%)

Error

0.4b

Counts

3 → 57

Calls

3 calls:

1.1s

(+.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1)

764.0ms

(/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2))

208.0ms

(/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 2 i)))

Compiler

Compiled 8357 to 6444 computations (22.9% saved)

simplify105.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

168 → 168

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	5087	8388

prune402.0ms (1.3%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	164	4	168
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	165	4	169

Error

0.1b

Counts

169 → 4

Compiler

Compiled 7527 to 4006 computations (46.8% saved)

localize13.0ms (0%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (-.f64 beta alpha) (+.f64 (*.f64 2 i) (+.f64 beta alpha)))
0.1b	(/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (.f64 2 i) (+.f64 beta alpha))) (+.f64 2 (+.f64 (.f64 2 i) (+.f64 beta alpha))))
2.5b	(.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (.f64 2 i) (+.f64 beta alpha))) (+.f64 2 (+.f64 (*.f64 2 i) (+.f64 beta alpha)))))
3.4b	(+.f64 (.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (.f64 2 i) (+.f64 beta alpha))) (+.f64 2 (+.f64 (*.f64 2 i) (+.f64 beta alpha))))) 1)

rewrite1.1s (3.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

321×	`times-frac_binary64_1448`
290×	`*-un-lft-identity_binary64_1442`
211×	`add-sqr-sqrt_binary64_1464`
140×	`add-cube-cbrt_binary64_1477`
90×	`associate-r_binary64_1382`
44×	`distribute-lft-out_binary64_1393`
31×	`difference-of-squares_binary64_1411` `distribute-lft-out--_binary64_1394`
26×	`associate-/l*_binary64_1387`
24×	`associate-/r/_binary64_1388`
20×	`add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
15×	`flip3-+_binary64_1445` `flip-+_binary64_1416`
12×	`div-inv_binary64_1439`
7×	`div-exp_binary64_1493` `cbrt-undiv_binary64_1476` `associate-/r*_binary64_1386`
6×	`add-log-exp_binary64_1481` `pow1_binary64_1503`
4×	`associate-l_binary64_1383`
3×	`prod-exp_binary64_1491` `cbrt-unprod_binary64_1475` `unswap-sqr_binary64_1410` `div-sub_binary64_1447` `associate-/l/_binary64_1389`
2×	`frac-times_binary64_1452` `associate-*l/_binary64_1385` `frac-2neg_binary64_1453` `clear-num_binary64_1441`
1×	`sum-log_binary64_1533` `+-commutative_binary64_1372` `pow-prod-down_binary64_1513` `associate-r/_binary64_1384` `-commutative_binary64_1373` `flip3--_binary64_1446` `flip--_binary64_1417`

Counts

4 → 295

Calls

4 calls:

66.0ms	(.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (.f64 2 i) (+.f64 beta alpha))) (+.f64 2 (+.f64 (*.f64 2 i) (+.f64 beta alpha)))))
35.0ms	(+.f64 (.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (.f64 2 i) (+.f64 beta alpha))) (+.f64 2 (+.f64 (*.f64 2 i) (+.f64 beta alpha))))) 1)
25.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (*.f64 2 i) (+.f64 beta alpha)))
23.0ms	(/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (.f64 2 i) (+.f64 beta alpha))) (+.f64 2 (+.f64 (.f64 2 i) (+.f64 beta alpha))))

Compiler

Compiled 14908 to 7929 computations (46.8% saved)

series2.9s (9.4%)

Error

0.1b

Counts

4 → 77

Calls

4 calls:

1.1s	(+.f64 (.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (.f64 2 i) (+.f64 beta alpha))) (+.f64 2 (+.f64 (*.f64 2 i) (+.f64 beta alpha))))) 1)
746.0ms	(/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (.f64 2 i) (+.f64 beta alpha))) (+.f64 2 (+.f64 (.f64 2 i) (+.f64 beta alpha))))
675.0ms	(.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (.f64 2 i) (+.f64 beta alpha))) (+.f64 2 (+.f64 (*.f64 2 i) (+.f64 beta alpha)))))
191.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (*.f64 2 i) (+.f64 beta alpha)))

Compiler

Compiled 12040 to 9147 computations (24% saved)

simplify219.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

372 → 372

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4972	17824
1	4972	17824

prune1.1s (3.7%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	370	2	372
Fresh	0	3	3
Picked	1	0	1
Done	0	0	0
Total	371	5	376

Error

0.0b

Counts

376 → 5

Compiler

Compiled 17882 to 9569 computations (46.5% saved)

localize15.0ms (0%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 (+.f64 2 (+.f64 (.f64 2 i) (+.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (+.f64 (.f64 2 i) (+.f64 alpha beta))))
0.4b	(/.f64 1 (/.f64 (+.f64 2 (+.f64 (.f64 2 i) (+.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (+.f64 (.f64 2 i) (+.f64 alpha beta)))))
2.5b	(.f64 (+.f64 beta alpha) (/.f64 1 (/.f64 (+.f64 2 (+.f64 (.f64 2 i) (+.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (+.f64 (*.f64 2 i) (+.f64 alpha beta))))))
3.4b	(+.f64 (.f64 (+.f64 beta alpha) (/.f64 1 (/.f64 (+.f64 2 (+.f64 (.f64 2 i) (+.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (+.f64 (*.f64 2 i) (+.f64 alpha beta)))))) 1)

rewrite5.0s (16%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

1713×	`times-frac_binary64_1448`
1199×	`*-un-lft-identity_binary64_1442`
879×	`add-sqr-sqrt_binary64_1464`
658×	`add-cube-cbrt_binary64_1477`
272×	`associate-r_binary64_1382`
170×	`distribute-lft-out_binary64_1393`
110×	`associate-/r*_binary64_1386`
99×	`difference-of-squares_binary64_1411` `distribute-lft-out--_binary64_1394`
76×	`associate-/r/_binary64_1388`
62×	`add-exp-log_binary64_1480`
43×	`div-inv_binary64_1439`
37×	`flip3-+_binary64_1445` `flip-+_binary64_1416`
33×	`div-exp_binary64_1493`
32×	`add-cbrt-cube_binary64_1478`
15×	`cbrt-undiv_binary64_1476`
10×	`prod-exp_binary64_1491`
7×	`pow1_binary64_1503` `unswap-sqr_binary64_1410` `associate-/l*_binary64_1387`
6×	`add-log-exp_binary64_1481` `1-exp_binary64_1486` `rec-exp_binary64_1492`
4×	`cbrt-unprod_binary64_1475` `associate-l_binary64_1383`
2×	`frac-times_binary64_1452` `associate-*l/_binary64_1385` `frac-2neg_binary64_1453` `clear-num_binary64_1441` `associate-/l/_binary64_1389`
1×	`sum-log_binary64_1533` `+-commutative_binary64_1372` `pow-prod-down_binary64_1513` `un-div-inv_binary64_1440` `associate-r/_binary64_1384` `-commutative_binary64_1373` `inv-pow_binary64_1527` `pow-flip_binary64_1516`

Counts

4 → 833

Calls

4 calls:

132.0ms	(.f64 (+.f64 beta alpha) (/.f64 1 (/.f64 (+.f64 2 (+.f64 (.f64 2 i) (+.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (+.f64 (*.f64 2 i) (+.f64 alpha beta))))))
60.0ms	(/.f64 1 (/.f64 (+.f64 2 (+.f64 (.f64 2 i) (+.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (+.f64 (.f64 2 i) (+.f64 alpha beta)))))
60.0ms	(+.f64 (.f64 (+.f64 beta alpha) (/.f64 1 (/.f64 (+.f64 2 (+.f64 (.f64 2 i) (+.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (+.f64 (*.f64 2 i) (+.f64 alpha beta)))))) 1)
23.0ms	(/.f64 (+.f64 2 (+.f64 (.f64 2 i) (+.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (+.f64 (.f64 2 i) (+.f64 alpha beta))))

Compiler

Compiled 47919 to 27659 computations (42.3% saved)

series3.4s (10.7%)

Error

0.0b

Counts

4 → 86

Calls

4 calls:

1.1s	(+.f64 (.f64 (+.f64 beta alpha) (/.f64 1 (/.f64 (+.f64 2 (+.f64 (.f64 2 i) (+.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (+.f64 (*.f64 2 i) (+.f64 alpha beta)))))) 1)
813.0ms	(/.f64 1 (/.f64 (+.f64 2 (+.f64 (.f64 2 i) (+.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (+.f64 (.f64 2 i) (+.f64 alpha beta)))))
703.0ms	(.f64 (+.f64 beta alpha) (/.f64 1 (/.f64 (+.f64 2 (+.f64 (.f64 2 i) (+.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (+.f64 (*.f64 2 i) (+.f64 alpha beta))))))
496.0ms	(/.f64 (+.f64 2 (+.f64 (.f64 2 i) (+.f64 alpha beta))) (/.f64 (-.f64 beta alpha) (+.f64 (.f64 2 i) (+.f64 alpha beta))))

Compiler

Compiled 13589 to 10108 computations (25.6% saved)

simplify658.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

919 → 919

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5849	48821

prune4.5s (14.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	919	0	919
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	919	5	924

Error

0.0b

Counts

924 → 5

Compiler

Compiled 48814 to 27075 computations (44.5% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (-.f64 beta alpha) (+.f64 (*.f64 2 i) (+.f64 beta alpha)))
0.1b	(/.f64 (.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (+.f64 (.f64 2 i) (+.f64 beta alpha)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2))
0.1b	(.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (+.f64 (.f64 2 i) (+.f64 beta alpha))))
2.4b	(+.f64 (/.f64 (.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (+.f64 (.f64 2 i) (+.f64 beta alpha)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1)

rewrite392.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

48×	`*-un-lft-identity_binary64_1442`
45×	`add-sqr-sqrt_binary64_1464`
35×	`times-frac_binary64_1448`
26×	`add-cube-cbrt_binary64_1477`
21×	`associate-r_binary64_1382`
20×	`add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
8×	`flip3-+_binary64_1445` `flip-+_binary64_1416`
7×	`difference-of-squares_binary64_1411` `distribute-lft-out--_binary64_1394` `associate-/l/_binary64_1389` `associate-/r*_binary64_1386`
6×	`add-log-exp_binary64_1481` `pow1_binary64_1503` `div-exp_binary64_1493` `cbrt-undiv_binary64_1476` `associate-/r/_binary64_1388` `associate-/l*_binary64_1387`
4×	`distribute-lft-out_binary64_1393` `prod-exp_binary64_1491` `cbrt-unprod_binary64_1475` `frac-times_binary64_1452` `associate-l/_binary64_1385` `associate-l*_binary64_1383`
3×	`div-inv_binary64_1439`
2×	`unswap-sqr_binary64_1410` `associate-*r/_binary64_1384` `frac-2neg_binary64_1453` `clear-num_binary64_1441`
1×	`sum-log_binary64_1533` `+-commutative_binary64_1372` `pow-prod-down_binary64_1513` `*-commutative_binary64_1373` `div-sub_binary64_1447` `flip3--_binary64_1446` `flip--_binary64_1417`

Counts

4 → 129

Calls

4 calls:

38.0ms	(+.f64 (/.f64 (.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (+.f64 (.f64 2 i) (+.f64 beta alpha)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1)
33.0ms	(.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (+.f64 (.f64 2 i) (+.f64 beta alpha))))
25.0ms	(/.f64 (.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (+.f64 (.f64 2 i) (+.f64 beta alpha)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2))
14.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (*.f64 2 i) (+.f64 beta alpha)))

Compiler

Compiled 5642 to 2885 computations (48.9% saved)

series2.3s (7.4%)

Error

0.0b

Counts

4 → 73

Calls

4 calls:

1.1s	(+.f64 (/.f64 (.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (+.f64 (.f64 2 i) (+.f64 beta alpha)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1)
700.0ms	(/.f64 (.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (+.f64 (.f64 2 i) (+.f64 beta alpha)))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2))
206.0ms	(.f64 (+.f64 beta alpha) (/.f64 (-.f64 beta alpha) (+.f64 (.f64 2 i) (+.f64 beta alpha))))
165.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (*.f64 2 i) (+.f64 beta alpha)))

Compiler

Compiled 9896 to 7565 computations (23.6% saved)

simplify89.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

202 → 202

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	5054	7589

prune420.0ms (1.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	202	0	202
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	202	5	207

Error

0.0b

Counts

207 → 5

Compiler

Compiled 8119 to 4518 computations (44.4% saved)

regimes1.6s (5%)

Accuracy

Total 1.2b remaining (94.6%)

Threshold costs 0b (0%)

Compiler

Compiled 22257 to 14812 computations (33.5% saved)

bsearch6.0ms (0%)

Compiler: Compiled 25 to 16 computations (36% saved)

simplify10.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (7.0ms)

Iter	Nodes	Cost
0	272	185
1	272	185

end0.0ms (0%)

sample3.9s (12.4%)

Algorithm

1×

intervals

Results

508.0ms	6490×	body	128	valid
233.0ms	8000×	pre	128	true
211.0ms	695×	body	1024	valid
104.0ms	473×	body	512	valid
45.0ms	300×	body	256	valid
15.0ms	42×	body	2048	valid

Compiler

Compiled 3255 to 2152 computations (33.9% saved)

Details

analyze351.0ms (1.1%)

sample42.0ms (0.1%)

simplify94.0ms (0.3%)

prune3.0ms (0%)

localize16.0ms (0.1%)

rewrite429.0ms (1.4%)

series2.2s (7%)

simplify105.0ms (0.3%)

prune402.0ms (1.3%)

localize13.0ms (0%)

rewrite1.1s (3.4%)

series2.9s (9.4%)

simplify219.0ms (0.7%)

prune1.1s (3.7%)

localize15.0ms (0%)

rewrite5.0s (16%)

series3.4s (10.7%)

simplify658.0ms (2.1%)

prune4.5s (14.5%)

localize20.0ms (0.1%)

rewrite392.0ms (1.3%)

series2.3s (7.4%)

simplify89.0ms (0.3%)

prune420.0ms (1.3%)

regimes1.6s (5%)

bsearch6.0ms (0%)

simplify10.0ms (0%)

end0.0ms (0%)

sample3.9s (12.4%)

Profiling