Details

analyze282.0ms (2.6%)

Algorithm

1×

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)

sample33.0ms (0.3%)

Algorithm

1×

intervals

Results

13.0ms	243×	body	128	valid
8.0ms	275×	pre	128	true
1.0ms	13×	body	256	valid
1.0ms	19×	body	128	nan

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify366.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (276.0ms)

Iter	Nodes	Cost
0	1802	24
1	1802	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

29.5b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
0.3b	(.f64 (.f64 3 a) c)
0.4b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
29.2b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)

rewrite35.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-sqr-sqrt_binary64_1464`
14×	`add-cbrt-cube_binary64_1478` `add-exp-log_binary64_1480` `*-un-lft-identity_binary64_1442`
9×	`pow1_binary64_1503`
8×	`add-log-exp_binary64_1481` `add-cube-cbrt_binary64_1477`
6×	`times-frac_binary64_1448` `associate-/l*_binary64_1387` `difference-of-squares_binary64_1411`
4×	`cancel-sign-sub-inv_binary64_1408` `cbrt-unprod_binary64_1475` `prod-exp_binary64_1491`
3×	`associate-r_binary64_1382` `flip3--_binary64_1446` `pow-prod-down_binary64_1513` `flip--_binary64_1417` `sqrt-prod_binary64_1458` `distribute-lft-out--_binary64_1394`
2×	`cbrt-undiv_binary64_1476` `associate-/l/_binary64_1389` `sub-neg_binary64_1435` `diff-log_binary64_1534` `div-exp_binary64_1493`
1×	`associate-/r_binary64_1386` `div-inv_binary64_1439` `clear-num_binary64_1441` `associate-l_binary64_1383` `-commutative_binary64_1373` `frac-2neg_binary64_1453` `div-sub_binary64_1447`

Counts

4 → 77

Calls

4 calls:

11.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
8.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
5.0ms	(.f64 (.f64 3 a) c)
4.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))

series548.0ms (5%)

Counts

4 → 60

Calls

4 calls:

201.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
153.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
144.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
49.0ms	(.f64 (.f64 3 a) c)

Compiler

Compiled 1692 to 1453 computations (14.1% saved)

simplify58.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5268	2923

prune178.0ms (1.6%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	124	13	137
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	125	13	138

Error

0.7b

Counts

138 → 13

Compiler

Compiled 3331 to 1977 computations (40.6% saved)

localize34.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite62.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

156×	`add-exp-log_binary64_1480`
72×	`prod-exp_binary64_1491`
60×	`div-exp_binary64_1493`
46×	`pow-exp_binary64_1510` `pow-to-exp_binary64_1511`
32×	`add-cbrt-cube_binary64_1478`
26×	`associate-/r*_binary64_1386` `times-frac_binary64_1448`
24×	`add-sqr-sqrt_binary64_1464`
22×	`unpow-prod-down_binary64_1521`
21×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
12×	`associate-r_binary64_1382`
10×	`cbrt-unprod_binary64_1475` `cube-prod_binary64_1470`
8×	`cbrt-undiv_binary64_1476` `sqr-pow_binary64_1414`
4×	`add-log-exp_binary64_1481` `pow1_binary64_1503` `unswap-sqr_binary64_1410`
3×	`cube-mult_binary64_1472` `div-inv_binary64_1439` `clear-num_binary64_1441` `associate-/l*_binary64_1387` `frac-2neg_binary64_1453` `unpow3_binary64_1508`
1×	`associate-l_binary64_1383` `*-commutative_binary64_1373`

Counts

4 → 186

Calls

4 calls:

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

series936.0ms (8.5%)

Counts

4 → 33

Calls

4 calls:

327.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
281.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
223.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
104.0ms	(.f64 (.f64 a a) (pow.f64 c 3))

Compiler

Compiled 2970 to 2358 computations (20.6% saved)

simplify97.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

219 → 219

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4950	3467
1	4950	3467

prune660.0ms (6%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	218	1	219
Fresh	0	12	12
Picked	0	1	1
Done	0	0	0
Total	218	14	232

Error

0.7b

Counts

232 → 14

Compiler

Compiled 10917 to 6898 computations (36.8% saved)

localize33.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(/.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))
0.4b	(/.f64 (.f64 (.f64 a a) (*.f64 c c)) (pow.f64 b 3))
0.4b	(/.f64 (-.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (+.f64 (+.f64 (.f64 9/8 (/.f64 (.f64 (.f64 a a) (.f64 c c)) (pow.f64 b 3))) (.f64 27/16 (/.f64 (pow.f64 (.f64 a c) 3) (pow.f64 b 5)))) (.f64 405/128 (/.f64 (.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))))) (*.f64 3 a))
0.7b	(pow.f64 (*.f64 a c) 3)

rewrite90.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

120×	`add-exp-log_binary64_1480`
53×	`prod-exp_binary64_1491`
47×	`div-exp_binary64_1493`
35×	`add-cbrt-cube_binary64_1478` `pow-exp_binary64_1510`
34×	`pow-to-exp_binary64_1511`
22×	`times-frac_binary64_1448`
20×	`associate-/r*_binary64_1386`
17×	`add-sqr-sqrt_binary64_1464` `add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
13×	`unpow-prod-down_binary64_1521`
11×	`cbrt-unprod_binary64_1475`
10×	`associate-*r/_binary64_1384`
9×	`cbrt-undiv_binary64_1476`
7×	`associate-/l/_binary64_1389` `cube-prod_binary64_1470` `pow1_binary64_1503`
5×	`associate-/l*_binary64_1387` `frac-sub_binary64_1451` `sqr-pow_binary64_1414`
4×	`add-log-exp_binary64_1481` `frac-add_binary64_1450`
3×	`cube-mult_binary64_1472` `div-inv_binary64_1439` `clear-num_binary64_1441` `pow-unpow_binary64_1519` `frac-2neg_binary64_1453` `unpow3_binary64_1508`
2×	`rem-cube-cbrt_binary64_1465` `flip3-+_binary64_1445` `flip-+_binary64_1416` `pow-pow_binary64_1514`
1×	`flip3--_binary64_1446` `pow-prod-down_binary64_1513` `flip--_binary64_1417` `div-sub_binary64_1447`

Counts

4 → 163

Calls

4 calls:

36.0ms	(/.f64 (-.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (+.f64 (+.f64 (.f64 9/8 (/.f64 (.f64 (.f64 a a) (.f64 c c)) (pow.f64 b 3))) (.f64 27/16 (/.f64 (pow.f64 (.f64 a c) 3) (pow.f64 b 5)))) (.f64 405/128 (/.f64 (.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))))) (*.f64 3 a))
13.0ms	(/.f64 (.f64 (.f64 a a) (*.f64 c c)) (pow.f64 b 3))
9.0ms	(/.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))
4.0ms	(pow.f64 (*.f64 a c) 3)

series988.0ms (9%)

Counts

4 → 45

Calls

4 calls:

344.0ms	(/.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))
312.0ms	(/.f64 (-.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (+.f64 (+.f64 (.f64 9/8 (/.f64 (.f64 (.f64 a a) (.f64 c c)) (pow.f64 b 3))) (.f64 27/16 (/.f64 (pow.f64 (.f64 a c) 3) (pow.f64 b 5)))) (.f64 405/128 (/.f64 (.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))))) (*.f64 3 a))
232.0ms	(/.f64 (.f64 (.f64 a a) (*.f64 c c)) (pow.f64 b 3))
99.0ms	(pow.f64 (*.f64 a c) 3)

Compiler

Compiled 3081 to 2434 computations (21% saved)

simplify96.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

208 → 208

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5128	5447

prune725.0ms (6.6%)

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	200	8	208
Fresh	2	10	12
Picked	1	0	1
Done	0	1	1
Total	203	19	222

Error

0.6b

Counts

222 → 19

Compiler

Compiled 12942 to 8037 computations (37.9% saved)

localize33.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(/.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))
0.4b	(/.f64 (pow.f64 (*.f64 a c) 2) (pow.f64 b 3))
0.5b	(pow.f64 (*.f64 a c) 2)
0.7b	(pow.f64 (*.f64 a c) 3)

rewrite61.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

89×	`add-exp-log_binary64_1480`
79×	`times-frac_binary64_1448`
44×	`add-sqr-sqrt_binary64_1464` `add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
42×	`pow-exp_binary64_1510` `div-exp_binary64_1493` `unpow-prod-down_binary64_1521`
37×	`pow-to-exp_binary64_1511`
32×	`prod-exp_binary64_1491`
24×	`sqr-pow_binary64_1414`
22×	`cube-prod_binary64_1470`
19×	`associate-/r*_binary64_1386`
14×	`add-cbrt-cube_binary64_1478` `unpow2_binary64_1507`
10×	`pow1_binary64_1503`
8×	`cube-mult_binary64_1472` `unpow3_binary64_1508`
7×	`associate-/l*_binary64_1387`
6×	`pow-unpow_binary64_1519`
4×	`add-log-exp_binary64_1481` `pow-pow_binary64_1514`
3×	`cbrt-undiv_binary64_1476`
2×	`cbrt-unprod_binary64_1475` `div-inv_binary64_1439` `clear-num_binary64_1441` `pow-prod-down_binary64_1513` `rem-cube-cbrt_binary64_1465` `frac-2neg_binary64_1453`

Counts

4 → 210

Calls

4 calls:

9.0ms	(/.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))
8.0ms	(/.f64 (pow.f64 (*.f64 a c) 2) (pow.f64 b 3))
4.0ms	(pow.f64 (*.f64 a c) 3)
4.0ms	(pow.f64 (*.f64 a c) 2)

series760.0ms (6.9%)

Counts

4 → 30

Calls

4 calls:

333.0ms	(/.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))
239.0ms	(/.f64 (pow.f64 (*.f64 a c) 2) (pow.f64 b 3))
105.0ms	(pow.f64 (*.f64 a c) 3)
82.0ms	(pow.f64 (*.f64 a c) 2)

Compiler

Compiled 3144 to 2466 computations (21.6% saved)

simplify97.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

240 → 240

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5046	3693

prune790.0ms (7.2%)

Pruning

19 alts after pruning (17 fresh and 2 done)

	Pruned	Kept	Total
New	240	0	240
Fresh	0	17	17
Picked	0	1	1
Done	0	1	1
Total	240	19	259

Error

0.6b

Counts

259 → 19

Compiler

Compiled 13110 to 8349 computations (36.3% saved)

regimes948.0ms (8.6%)

Accuracy

Total 5.1b remaining (89.1%)

Threshold costs 0b (0%)

Compiler

Compiled 14504 to 10492 computations (27.7% saved)

bsearch0.0ms (0%)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	203	67
1	203	67

end0.0ms (0%)

sample3.1s (28%)

Algorithm

1×

intervals

Results

409.0ms	7707×	body	128	valid
276.0ms	8936×	pre	128	true
50.0ms	936×	body	128	nan
30.0ms	293×	body	256	valid

Compiler

Compiled 2878 to 2083 computations (27.6% saved)

Details

analyze282.0ms (2.6%)

sample33.0ms (0.3%)

simplify366.0ms (3.3%)

prune4.0ms (0%)

localize14.0ms (0.1%)

rewrite35.0ms (0.3%)

series548.0ms (5%)

simplify58.0ms (0.5%)

prune178.0ms (1.6%)

localize34.0ms (0.3%)

rewrite62.0ms (0.6%)

series936.0ms (8.5%)

simplify97.0ms (0.9%)

prune660.0ms (6%)

localize33.0ms (0.3%)

rewrite90.0ms (0.8%)

series988.0ms (9%)

simplify96.0ms (0.9%)

prune725.0ms (6.6%)

localize33.0ms (0.3%)

rewrite61.0ms (0.6%)

series760.0ms (6.9%)

simplify97.0ms (0.9%)

prune790.0ms (7.2%)

regimes948.0ms (8.6%)

bsearch0.0ms (0%)

simplify5.0ms (0%)

end0.0ms (0%)

sample3.1s (28%)

Profiling