Details

analyze259.0ms (5%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5283	12
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	50%	50%	3
25%	25%	50%	4
37.5%	12.5%	50%	5
43.7%	6.2%	50%	6
46.9%	3.1%	50%	7
48.4%	1.6%	50%	8
49.2%	0.8%	50%	9
49.6%	0.4%	50%	10
49.8%	0.2%	50%	11
49.9%	0.1%	50%	12
49.9%	0%	50%	13
49.9%	0%	50%	14

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample70.0ms (1.4%)

Algorithm

1×

intervals

Results

38.0ms	119×	body	1024	valid
13.0ms	74×	body	512	valid
5.0ms	11×	body	2048	valid
4.0ms	37×	body	256	valid
1.0ms	15×	body	128	valid

Compiler

Compiled 17 to 16 computations (5.9% saved)

simplify167.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (162.0ms)

Iter	Nodes	Cost
0	5283	12

prune2.0ms (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

59.7b

Counts

2 → 1

Compiler

Compiled 16 to 14 computations (12.5% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 1 eps) (+.f64 1 eps))
6.9b	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))

rewrite127.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

59.5b

Rules

78×	`*-un-lft-identity_binary64_419`
52×	`add-sqr-sqrt_binary64_441`
48×	`times-frac_binary64_425`
30×	`log-prod_binary64_505`
25×	`add-cube-cbrt_binary64_454`
18×	`difference-of-squares_binary64_388`
13×	`distribute-lft-out_binary64_370`
9×	`distribute-lft-out--_binary64_371`
7×	`add-exp-log_binary64_457`
6×	`associate-/l*_binary64_364`
4×	`associate-/r/_binary64_365` `add-cbrt-cube_binary64_455` `associate-/r*_binary64_363`
3×	`pow1_binary64_480`
2×	`div-inv_binary64_416` `flip3-+_binary64_422` `flip-+_binary64_393` `div-exp_binary64_470` `rem-log-exp_binary64_460` `add-log-exp_binary64_458` `associate-/l/_binary64_366`
1×	`log-pow_binary64_508` `log-div_binary64_506` `cbrt-undiv_binary64_453` `frac-2neg_binary64_430` `div-sub_binary64_424` `clear-num_binary64_418` `flip3--_binary64_423` `flip--_binary64_394`

Counts

2 → 92

Calls

2 calls:

8.0ms	(/.f64 (-.f64 1 eps) (+.f64 1 eps))
8.0ms	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))

Compiler

Compiled 1606 to 1253 computations (22% saved)

series77.0ms (1.5%)

Error

0.0b

Counts

2 → 14

Calls

2 calls:

43.0ms	(log.f64 (/.f64 (-.f64 1 eps) (+.f64 1 eps)))
22.0ms	(/.f64 (-.f64 1 eps) (+.f64 1 eps))

Compiler

Compiled 274 to 251 computations (8.4% saved)

simplify80.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5400	1921

prune92.0ms (1.8%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	104	2	106
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	105	2	107

Error

Counts

107 → 2

Compiler

Compiled 1560 to 1201 computations (23% saved)

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.1b	(*.f64 2/5 (pow.f64 eps 5))
0.2b	(*.f64 2/3 (pow.f64 eps 3))

rewrite79.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

21×	`add-sqr-sqrt_binary64_441`
19×	`associate-r_binary64_359`
12×	`add-exp-log_binary64_457`
9×	`add-cube-cbrt_binary64_454` `*-un-lft-identity_binary64_419`
8×	`unpow-prod-down_binary64_498`
7×	`unswap-sqr_binary64_387`
6×	`prod-exp_binary64_468` `add-cbrt-cube_binary64_455` `associate-l_binary64_360`
4×	`cube-prod_binary64_447` `sqr-pow_binary64_391`
2×	`pow1_binary64_480` `pow-to-exp_binary64_488` `pow-exp_binary64_487` `add-log-exp_binary64_458` `cbrt-unprod_binary64_452` `*-commutative_binary64_350`
1×	`unpow3_binary64_485` `cube-mult_binary64_449`

Counts

2 → 56

Calls

2 calls:

7.0ms	(*.f64 2/3 (pow.f64 eps 3))
5.0ms	(*.f64 2/5 (pow.f64 eps 5))

Compiler

Compiled 1187 to 953 computations (19.7% saved)

series81.0ms (1.6%)

Error

Counts

2 → 6

Calls

2 calls:

39.0ms	(*.f64 2/5 (pow.f64 eps 5))
37.0ms	(*.f64 2/3 (pow.f64 eps 3))

Compiler

Compiled 270 to 229 computations (15.2% saved)

simplify60.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5185	578

prune68.0ms (1.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	62	0	62
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	62	2	64

Error

Counts

64 → 2

Compiler

Compiled 1197 to 947 computations (20.9% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (-.f64 1 (sqrt.f64 eps)) (+.f64 eps 1))
5.2b	(+.f64 (log.f64 (+.f64 1 (sqrt.f64 eps))) (log.f64 (/.f64 (-.f64 1 (sqrt.f64 eps)) (+.f64 eps 1))))
6.4b	(log.f64 (/.f64 (-.f64 1 (sqrt.f64 eps)) (+.f64 eps 1)))
6.5b	(log.f64 (+.f64 1 (sqrt.f64 eps)))

rewrite333.0ms (6.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

180×	`*-un-lft-identity_binary64_419`
142×	`add-sqr-sqrt_binary64_441`
108×	`times-frac_binary64_425`
94×	`log-prod_binary64_505`
52×	`difference-of-squares_binary64_388`
49×	`add-cube-cbrt_binary64_454`
42×	`associate-+r+_binary64_351`
41×	`sqrt-prod_binary64_435`
36×	`distribute-lft-out_binary64_370`
26×	`distribute-lft-out--_binary64_371`
10×	`pow1_binary64_480` `add-exp-log_binary64_457`
9×	`associate-/l*_binary64_364`
6×	`log-pow_binary64_508` `flip3-+_binary64_422` `log-div_binary64_506` `flip-+_binary64_393` `add-cbrt-cube_binary64_455` `associate-/r/_binary64_365`
5×	`associate-+l+_binary64_352`
4×	`add-log-exp_binary64_458` `associate-/r*_binary64_363`
3×	`rem-log-exp_binary64_460` `div-inv_binary64_416`
2×	`div-exp_binary64_470` `associate-+l-_binary64_354` `associate-/l/_binary64_366`
1×	`sum-log_binary64_510` `associate-+r-_binary64_353` `+-commutative_binary64_349` `cbrt-undiv_binary64_453` `frac-2neg_binary64_430` `div-sub_binary64_424` `clear-num_binary64_418` `flip3--_binary64_423` `flip--_binary64_394`

Counts

4 → 200

Calls

4 calls:

18.0ms	(+.f64 (log.f64 (+.f64 1 (sqrt.f64 eps))) (log.f64 (/.f64 (-.f64 1 (sqrt.f64 eps)) (+.f64 eps 1))))
11.0ms	(log.f64 (/.f64 (-.f64 1 (sqrt.f64 eps)) (+.f64 eps 1)))
10.0ms	(/.f64 (-.f64 1 (sqrt.f64 eps)) (+.f64 eps 1))
4.0ms	(log.f64 (+.f64 1 (sqrt.f64 eps)))

Compiler

Compiled 5144 to 3595 computations (30.1% saved)

series144.0ms (2.8%)

Error

Counts

4 → 12

Calls

4 calls:

52.0ms	(+.f64 (log.f64 (+.f64 1 (sqrt.f64 eps))) (log.f64 (/.f64 (-.f64 1 (sqrt.f64 eps)) (+.f64 eps 1))))
40.0ms	(log.f64 (/.f64 (-.f64 1 (sqrt.f64 eps)) (+.f64 eps 1)))
22.0ms	(/.f64 (-.f64 1 (sqrt.f64 eps)) (+.f64 eps 1))
22.0ms	(log.f64 (+.f64 1 (sqrt.f64 eps)))

Compiler

Compiled 699 to 568 computations (18.7% saved)

simplify108.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

212 → 212

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5610	4638

prune275.0ms (5.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	212	0	212
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	212	2	214

Error

Counts

214 → 2

Compiler

Compiled 4798 to 3302 computations (31.2% saved)

regimes131.0ms (2.5%)

Accuracy

Total 0.2b remaining (94.2%)

Threshold costs 0.2b (94.2%)

Compiler

Compiled 1409 to 1182 computations (16.1% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	67	22
1	67	22

end0.0ms (0%)

sample2.9s (57.5%)

Algorithm

1×

intervals

Results

1.5s	3984×	body	1024	valid
379.0ms	2075×	body	512	valid
213.0ms	429×	body	2048	valid
101.0ms	954×	body	256	valid
26.0ms	558×	body	128	valid

Compiler

Compiled 457 to 385 computations (15.8% saved)

Details

analyze259.0ms (5%)

sample70.0ms (1.4%)

simplify167.0ms (3.3%)

prune2.0ms (0%)

localize5.0ms (0.1%)

rewrite127.0ms (2.5%)

series77.0ms (1.5%)

simplify80.0ms (1.6%)

prune92.0ms (1.8%)

localize10.0ms (0.2%)

rewrite79.0ms (1.5%)

series81.0ms (1.6%)

simplify60.0ms (1.2%)

prune68.0ms (1.3%)

localize10.0ms (0.2%)

rewrite333.0ms (6.5%)

series144.0ms (2.8%)

simplify108.0ms (2.1%)

prune275.0ms (5.4%)

regimes131.0ms (2.5%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample2.9s (57.5%)

Profiling