Details

analyze4.0ms (0.1%)

Algorithm

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

sample84.0ms (2.1%)

Algorithm

1×

intervals

Results

50.0ms	110×	body	1280	valid
19.0ms	77×	body	640	valid
6.0ms	40×	body	320	valid
2.0ms	19×	body	160	valid
0.0ms	10×	body	80	valid

simplify200.0ms (5.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (198.0ms)

Iter	Nodes	Cost
0	5041	8

prune10.0ms (0.2%)

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

Merged error: 57.9b

Counts

2 → 1

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 1.0 eps) (+.f64 1.0 eps))
5.9b	(log.f64 (/.f64 (-.f64 1.0 eps) (+.f64 1.0 eps)))

rewrite19.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

63×	`*-un-lft-identity_binary64`
41×	`add-sqr-sqrt_binary64`
40×	`times-frac_binary64`
26×	`log-prod_binary64`
23×	`add-cube-cbrt_binary64`
11×	`distribute-lft-out_binary64`
9×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
7×	`add-exp-log_binary64`
5×	`associate-/l*_binary64`
4×	`associate-/r*_binary64` `add-cbrt-cube_binary64` `associate-/r/_binary64`
3×	`pow1_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `add-log-exp_binary64` `rem-log-exp_binary64` `div-inv_binary64` `div-exp_binary64` `flip-+_binary64`
1×	`flip3--_binary64` `cbrt-undiv_binary64` `log-pow_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `log-div_binary64` `flip--_binary64`

Counts

2 → 83

Calls

2 calls:

8.0ms	(/.f64 (-.f64 1.0 eps) (+.f64 1.0 eps))
7.0ms	(log.f64 (/.f64 (-.f64 1.0 eps) (+.f64 1.0 eps)))

series10.0ms (0.2%)

Counts

2 → 6

Calls

2 calls:

6.0ms	(log.f64 (/.f64 (-.f64 1.0 eps) (+.f64 1.0 eps)))
3.0ms	(/.f64 (-.f64 1.0 eps) (+.f64 1.0 eps))

simplify67.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4955	1113
1	4955	1113

prune130.0ms (3.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	83	6	89
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	83	7	90

Merged error: 0.1b

Counts

90 → 7

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (.f64 eps eps) (+.f64 eps (/.f64 (.f64 eps eps) (*.f64 1.0 1.0))))
0.0b	(+.f64 eps (/.f64 (.f64 eps eps) (.f64 1.0 1.0)))

rewrite14.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-log-exp_binary64`
4×	`*-un-lft-identity_binary64`
3×	`add-sqr-sqrt_binary64`
2×	`pow1_binary64` `diff-log_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `sum-log_binary64`
1×	`flip3-+_binary64` `sub-neg_binary64` `associate--r+_binary64` `flip3--_binary64` `distribute-lft-out_binary64` `difference-of-squares_binary64` `+-commutative_binary64` `flip--_binary64` `flip-+_binary64`

Counts

2 → 26

Calls

2 calls:

8.0ms	(-.f64 (.f64 eps eps) (+.f64 eps (/.f64 (.f64 eps eps) (*.f64 1.0 1.0))))
5.0ms	(+.f64 eps (/.f64 (.f64 eps eps) (.f64 1.0 1.0)))

series10.0ms (0.2%)

Counts

2 → 6

Calls

2 calls:

7.0ms	(+.f64 eps (/.f64 (.f64 eps eps) (.f64 1.0 1.0)))
2.0ms	(-.f64 (.f64 eps eps) (+.f64 eps (/.f64 (.f64 eps eps) (*.f64 1.0 1.0))))

simplify29.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5128	406

prune51.0ms (1.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	32	0	32
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	32	7	39

Merged error: 0.1b

Counts

39 → 7

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (log.f64 (-.f64 1.0 eps)) (log.f64 (+.f64 1.0 eps)))
6.0b	(log.f64 (+.f64 1.0 eps))
6.0b	(log.f64 (-.f64 1.0 eps))

rewrite18.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`*-un-lft-identity_binary64`
18×	`log-prod_binary64`
13×	`add-sqr-sqrt_binary64`
9×	`pow1_binary64`
8×	`log-div_binary64`
7×	`add-cube-cbrt_binary64`
6×	`log-pow_binary64` `distribute-lft-out--_binary64`
5×	`add-exp-log_binary64` `associate--l+_binary64`
4×	`associate--r+_binary64`
3×	`add-log-exp_binary64` `flip3--_binary64` `add-cbrt-cube_binary64` `difference-of-squares_binary64` `flip--_binary64`
2×	`flip3-+_binary64` `associate--l-_binary64` `distribute-lft-out_binary64` `associate--r-_binary64` `rem-log-exp_binary64` `flip-+_binary64`
1×	`sub-neg_binary64` `diff-log_binary64`

Counts

3 → 60

Calls

3 calls:

9.0ms	(-.f64 (log.f64 (-.f64 1.0 eps)) (log.f64 (+.f64 1.0 eps)))
3.0ms	(log.f64 (-.f64 1.0 eps))
3.0ms	(log.f64 (+.f64 1.0 eps))

series20.0ms (0.5%)

Counts

3 → 9

Calls

3 calls:

13.0ms	(-.f64 (log.f64 (-.f64 1.0 eps)) (log.f64 (+.f64 1.0 eps)))
3.0ms	(log.f64 (-.f64 1.0 eps))
3.0ms	(log.f64 (+.f64 1.0 eps))

simplify47.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5262	694

prune86.0ms (2.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	67	2	69
Fresh	2	2	4
Picked	1	0	1
Done	1	1	2
Total	71	5	76

Merged error: 0.0b

Counts

76 → 5

localize15.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b

(+.f64 (*.f64 (/.f64 (pow.f64 eps 5) (pow.f64 1.0 5)) -2/5) (-.f64 (*.f64 (pow.f64 (/.f64 eps 1.0) 3) -2/3) (*.f64 eps 2.0)))

0.1b

(*.f64 (/.f64 (pow.f64 eps 5) (pow.f64 1.0 5)) -2/5)

0.1b

(*.f64 (pow.f64 (/.f64 eps 1.0) 3) -2/3)

rewrite49.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

85×	`associate-l_binary64` `add-sqr-sqrt_binary64`
78×	`times-frac_binary64`
63×	`unpow-prod-down_binary64`
49×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
34×	`add-exp-log_binary64`
22×	`sqr-pow_binary64`
16×	`unswap-sqr_binary64`
15×	`cube-prod_binary64`
14×	`prod-exp_binary64`
10×	`add-cbrt-cube_binary64` `div-exp_binary64`
8×	`add-log-exp_binary64` `pow-exp_binary64`
7×	`pow-to-exp_binary64`
6×	`associate-r_binary64`
5×	`pow1_binary64`
4×	`associate-*l/_binary64`
3×	`cbrt-unprod_binary64` `div-inv_binary64`
2×	`frac-add_binary64` `sum-log_binary64` `*-commutative_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `sub-neg_binary64` `associate-+r-_binary64` `flip3--_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `cube-div_binary64` `+-commutative_binary64` `flip--_binary64` `flip-+_binary64` `associate-+r+_binary64` `unpow3_binary64` `cube-mult_binary64`

Counts

3 → 159

Calls

3 calls:

18.0ms

(+.f64 (*.f64 (/.f64 (pow.f64 eps 5) (pow.f64 1.0 5)) -2/5) (-.f64 (*.f64 (pow.f64 (/.f64 eps 1.0) 3) -2/3) (*.f64 eps 2.0)))

14.0ms

(*.f64 (/.f64 (pow.f64 eps 5) (pow.f64 1.0 5)) -2/5)

10.0ms

(*.f64 (pow.f64 (/.f64 eps 1.0) 3) -2/3)

series35.0ms (0.9%)

Counts

3 → 9

Calls

3 calls:

13.0ms

(+.f64 (*.f64 (/.f64 (pow.f64 eps 5) (pow.f64 1.0 5)) -2/5) (-.f64 (*.f64 (pow.f64 (/.f64 eps 1.0) 3) -2/3) (*.f64 eps 2.0)))

12.0ms

(*.f64 (/.f64 (pow.f64 eps 5) (pow.f64 1.0 5)) -2/5)

9.0ms

(*.f64 (pow.f64 (/.f64 eps 1.0) 3) -2/3)

simplify57.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

168 → 168

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5022	2044

prune343.0ms (8.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	168	0	168
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	168	5	173

Merged error: 0.0b

Counts

173 → 5

regimes104.0ms (2.6%)

Accuracy

Total 0.2b remaining (94.3%)

Threshold costs 0.2b (94.3%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	47	21
1	47	21

end0.0ms (0%)

sample2.5s (63.9%)

Algorithm

1×

intervals

Results

1.5s	3382×	body	1280	valid
621.0ms	2454×	body	640	valid
196.0ms	1285×	body	320	valid
60.0ms	653×	body	160	valid
9.0ms	226×	body	80	valid

Details

analyze4.0ms (0.1%)

sample84.0ms (2.1%)

simplify200.0ms (5.1%)

prune10.0ms (0.2%)

localize5.0ms (0.1%)

rewrite19.0ms (0.5%)

series10.0ms (0.2%)

simplify67.0ms (1.7%)

prune130.0ms (3.3%)

localize9.0ms (0.2%)

rewrite14.0ms (0.4%)

series10.0ms (0.2%)

simplify29.0ms (0.7%)

prune51.0ms (1.3%)

localize6.0ms (0.2%)

rewrite18.0ms (0.4%)

series20.0ms (0.5%)

simplify47.0ms (1.2%)

prune86.0ms (2.2%)

localize15.0ms (0.4%)

rewrite49.0ms (1.2%)

series35.0ms (0.9%)

simplify57.0ms (1.4%)

prune343.0ms (8.7%)

regimes104.0ms (2.6%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample2.5s (63.9%)

Profiling