Details

analyze99.0ms (3.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
25%	74.9%	0.1%	3
62.4%	37.5%	0.1%	4
68.7%	31.2%	0.1%	5
68.7%	18.7%	12.6%	6
68.7%	18.7%	12.6%	7
68.7%	12.5%	18.8%	8
68.7%	12.5%	18.8%	9
68.7%	9.4%	22%	10
68.7%	9.4%	22%	11
68.7%	7.8%	23.5%	12
68.7%	7.8%	23.5%	13
68.7%	7%	24.3%	14

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample15.0ms (0.5%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
1.0ms	23×	body	128	overflowed

Compiler

Compiled 17 to 15 computations (11.8% saved)

simplify107.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	8	13
1	8	13

prune2.0ms (0.1%)

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 → 1

Compiler

Compiled 16 to 12 computations (25% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (exp.f64 a) (exp.f64 b))
0.0b	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite15.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`*-un-lft-identity_binary64_1442`
12×	`times-frac_binary64_1448`
11×	`add-sqr-sqrt_binary64_1464` `add-cube-cbrt_binary64_1477`
5×	`distribute-lft-out_binary64_1393`
4×	`associate-/r*_binary64_1386` `add-cbrt-cube_binary64_1478` `add-log-exp_binary64_1481`
3×	`associate-/l*_binary64_1387` `add-exp-log_binary64_1480`
2×	`associate-/r/_binary64_1388` `flip3-+_binary64_1445` `flip-+_binary64_1416` `pow1_binary64_1503`
1×	`cbrt-undiv_binary64_1476` `sum-log_binary64_1533` `div-inv_binary64_1439` `clear-num_binary64_1441` `+-commutative_binary64_1372` `frac-2neg_binary64_1453` `div-exp_binary64_1493`

Counts

2 → 45

Calls

2 calls:

7.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
5.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

series71.0ms (2.5%)

Counts

2 → 6

Calls

2 calls:

51.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
20.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

simplify84.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	5701	899

prune46.0ms (1.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	48	3	51
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	48	4	52

Error

Counts

52 → 4

Compiler

Compiled 776 to 180 computations (76.8% saved)

localize17.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.0b	(exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))
0.0b	(+.f64 (exp.f64 a) (exp.f64 b))
0.0b	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
0.2b	(log.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))

rewrite49.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

52×	`*-un-lft-identity_binary64_1442`
36×	`times-frac_binary64_1448` `exp-prod_binary64_1494`
30×	`add-sqr-sqrt_binary64_1464` `add-cube-cbrt_binary64_1477`
19×	`log-pow_binary64_1531`
11×	`distribute-lft-out_binary64_1393`
7×	`add-log-exp_binary64_1481`
6×	`add-cbrt-cube_binary64_1478` `associate-/r/_binary64_1388`
5×	`add-exp-log_binary64_1480` `pow1_binary64_1503`
4×	`associate-/r*_binary64_1386` `flip3-+_binary64_1445` `flip-+_binary64_1416`
3×	`log-prod_binary64_1528` `div-inv_binary64_1439` `associate-/l*_binary64_1387`
1×	`cbrt-undiv_binary64_1476` `sum-log_binary64_1533` `clear-num_binary64_1441` `rem-exp-log_binary64_1482` `rem-log-exp_binary64_1483` `+-commutative_binary64_1372` `frac-2neg_binary64_1453` `div-exp_binary64_1493`

Counts

4 → 101

Calls

4 calls:

12.0ms	(log.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
7.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
7.0ms	(exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))
7.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

series283.0ms (9.9%)

Counts

4 → 12

Calls

4 calls:

115.0ms	(log.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
81.0ms	(exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))
64.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
23.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

simplify103.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	5736	1915

prune101.0ms (3.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	113	4	117

Error

Counts

117 → 4

Compiler

Compiled 1948 to 399 computations (79.5% saved)

localize15.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)))
0.0b	(pow.f64 (exp.f64 a) 3)
0.2b	(*.f64 (exp.f64 a) (exp.f64 b))
5.6b	(-.f64 (.f64 (exp.f64 b) (exp.f64 b)) (.f64 (exp.f64 a) (exp.f64 b)))

rewrite55.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Rules

66×	`*-un-lft-identity_binary64_1442`
27×	`times-frac_binary64_1448`
26×	`add-sqr-sqrt_binary64_1464`
24×	`add-cube-cbrt_binary64_1477`
20×	`distribute-lft-out_binary64_1393`
19×	`cube-prod_binary64_1470` `unpow-prod-down_binary64_1521`
9×	`associate-/r*_binary64_1386` `add-cbrt-cube_binary64_1478`
7×	`pow1_binary64_1503`
6×	`add-log-exp_binary64_1481`
5×	`add-exp-log_binary64_1480` `exp-prod_binary64_1494`
4×	`sum-cubes_binary64_1443` `pow-pow_binary64_1514`
3×	`associate-r_binary64_1382` `associate-/l_binary64_1387` `associate-l*_binary64_1383` `pow-unpow_binary64_1519`
2×	`associate-/r/_binary64_1388`
1×	`cbrt-undiv_binary64_1476` `cube-mult_binary64_1472` `cancel-sign-sub-inv_binary64_1408` `cbrt-unprod_binary64_1475` `pow-exp_binary64_1510` `div-inv_binary64_1439` `sub-neg_binary64_1435` `clear-num_binary64_1441` `flip3--_binary64_1446` `pow-prod-down_binary64_1513` `*-commutative_binary64_1373` `rem-cube-cbrt_binary64_1465` `flip--_binary64_1417` `frac-2neg_binary64_1453` `diff-log_binary64_1534` `distribute-rgt-out--_binary64_1396` `sqr-pow_binary64_1414` `unpow3_binary64_1508` `flip3-+_binary64_1445` `flip-+_binary64_1416` `prod-exp_binary64_1491` `pow-prod-up_binary64_1512` `div-exp_binary64_1493` `pow-to-exp_binary64_1511` `unswap-sqr_binary64_1410`

Counts

4 → 111

Calls

4 calls:

16.0ms	(/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)))
12.0ms	(*.f64 (exp.f64 a) (exp.f64 b))
7.0ms	(-.f64 (.f64 (exp.f64 b) (exp.f64 b)) (.f64 (exp.f64 a) (exp.f64 b)))
6.0ms	(pow.f64 (exp.f64 a) 3)

series289.0ms (10.1%)

Counts

4 → 12

Calls

4 calls:

168.0ms	(/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)))
61.0ms	(-.f64 (.f64 (exp.f64 b) (exp.f64 b)) (.f64 (exp.f64 a) (exp.f64 b)))
30.0ms	(pow.f64 (exp.f64 a) 3)
28.0ms	(*.f64 (exp.f64 a) (exp.f64 b))

simplify98.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	5050	2121

prune196.0ms (6.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	123	0	123
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	123	4	127

Error

Counts

127 → 4

Compiler

Compiled 4331 to 1286 computations (70.3% saved)

localize5.0ms (0.2%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify9.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune1.0ms (0%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	3	3
Total	4	4

Error

Counts

4 → 4

Compiler

Compiled 0 to 0 computations (0% saved)

regimes133.0ms (4.6%)

Accuracy

Total 0.1b remaining (20.9%)

Threshold costs 0.1b (20.9%)

Compiler

Compiled 1063 to 632 computations (40.5% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	13
1	8	13

end0.0ms (0%)

sample1.1s (37.3%)

Algorithm

1×

intervals

Results

378.0ms	8000×	body	128	valid
27.0ms	685×	body	128	overflowed

Compiler

Compiled 232 to 143 computations (38.4% saved)

Details

analyze99.0ms (3.4%)

sample15.0ms (0.5%)

simplify107.0ms (3.7%)

prune2.0ms (0.1%)

localize5.0ms (0.2%)

rewrite15.0ms (0.5%)

series71.0ms (2.5%)

simplify84.0ms (2.9%)

prune46.0ms (1.6%)

localize17.0ms (0.6%)

rewrite49.0ms (1.7%)

series283.0ms (9.9%)

simplify103.0ms (3.6%)

prune101.0ms (3.5%)

localize15.0ms (0.5%)

rewrite55.0ms (1.9%)

series289.0ms (10.1%)

simplify98.0ms (3.4%)

prune196.0ms (6.8%)

localize5.0ms (0.2%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify9.0ms (0.3%)

prune1.0ms (0%)

regimes133.0ms (4.6%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.1s (37.3%)

Profiling