Details

analyze6.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	49.7%	50.3%	0
0%	49.7%	50.3%	1
0%	49.7%	50.3%	2
24.8%	24.8%	50.3%	3
37.3%	12.4%	50.3%	4
43.5%	6.2%	50.3%	5
46.6%	3.1%	50.3%	6
48.1%	1.6%	50.3%	7
48.9%	0.8%	50.3%	8
49.3%	0.4%	50.3%	9
49.5%	0.2%	50.3%	10
49.6%	0.1%	50.3%	11
49.6%	0%	50.3%	12
49.7%	0%	50.3%	13
49.7%	0%	50.3%	14

sample270.0ms (3.1%)

Algorithm

1×

intervals

Results

195.0ms	107×	body	2560	valid
53.0ms	72×	body	1280	valid
6.0ms	37×	body	640	valid
4.0ms	256×	pre	80	true
4.0ms	28×	body	320	valid
1.0ms	11×	body	160	valid
0.0ms	1×	body	80	valid

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (10.0ms)

Iter	Nodes	Cost
0	220	8
1	220	8

prune4.0ms (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

Merged error: 59.8b

Counts

2 → 1

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

3.7b	(-.f64 (/.f64 1.0 x) (/.f64 1.0 (tan.f64 x)))

rewrite14.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`add-sqr-sqrt_binary64`
11×	`*-un-lft-identity_binary64`
10×	`times-frac_binary64`
5×	`distribute-lft-out--_binary64`
4×	`difference-of-squares_binary64`
3×	`add-log-exp_binary64` `add-cube-cbrt_binary64`
2×	`div-inv_binary64`
1×	`sub-neg_binary64` `pow1_binary64` `flip3--_binary64` `diff-log_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip--_binary64` `frac-sub_binary64`

Counts

1 → 21

Calls

1 calls:

13.0ms

(-.f64 (/.f64 1.0 x) (/.f64 1.0 (tan.f64 x)))

series24.0ms (0.3%)

Counts

1 → 3

Calls

1 calls:

24.0ms

(-.f64 (/.f64 1.0 x) (/.f64 1.0 (tan.f64 x)))

simplify46.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4912	322
1	4912	322

prune36.0ms (0.4%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	23	1	24
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	24	1	25

Merged error: 0.4b

Counts

25 → 1

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b

(+.f64 (*.f64 0.022222222222222223 (pow.f64 x 3)) (+.f64 (*.f64 0.0021164021164021165 (pow.f64 x 5)) (*.f64 x 0.3333333333333333)))

0.1b

(*.f64 0.0021164021164021165 (pow.f64 x 5))

0.1b

(*.f64 0.022222222222222223 (pow.f64 x 3))

rewrite22.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-sqr-sqrt_binary64`
19×	`associate-r_binary64`
13×	`add-exp-log_binary64`
10×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
8×	`add-log-exp_binary64` `unpow-prod-down_binary64`
7×	`add-cbrt-cube_binary64` `unswap-sqr_binary64`
6×	`associate-l_binary64` `prod-exp_binary64`
4×	`sqr-pow_binary64` `cube-prod_binary64`
3×	`pow1_binary64` `sum-log_binary64`
2×	`pow-to-exp_binary64` `cbrt-unprod_binary64` `pow-exp_binary64` `*-commutative_binary64`
1×	`flip3-+_binary64` `+-commutative_binary64` `flip-+_binary64` `associate-+r+_binary64` `unpow3_binary64` `cube-mult_binary64`

Counts

3 → 69

Calls

3 calls:

9.0ms

(+.f64 (*.f64 0.022222222222222223 (pow.f64 x 3)) (+.f64 (*.f64 0.0021164021164021165 (pow.f64 x 5)) (*.f64 x 0.3333333333333333)))

6.0ms

(*.f64 0.022222222222222223 (pow.f64 x 3))

5.0ms

(*.f64 0.0021164021164021165 (pow.f64 x 5))

series19.0ms (0.2%)

Counts

3 → 9

Calls

3 calls:

8.0ms

(+.f64 (*.f64 0.022222222222222223 (pow.f64 x 3)) (+.f64 (*.f64 0.0021164021164021165 (pow.f64 x 5)) (*.f64 x 0.3333333333333333)))

6.0ms

(*.f64 0.0021164021164021165 (pow.f64 x 5))

5.0ms

(*.f64 0.022222222222222223 (pow.f64 x 3))

simplify57.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4943	707
1	4943	707

prune149.0ms (1.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	72	6	78
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	73	6	79

Merged error: 0.3b

Counts

79 → 6

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (+.f64 (.f64 0.022222222222222223 (pow.f64 x 3)) (.f64 0.0021164021164021165 (pow.f64 x 5))) (*.f64 x 0.3333333333333333))
0.0b	(+.f64 (.f64 0.022222222222222223 (pow.f64 x 3)) (.f64 0.0021164021164021165 (pow.f64 x 5)))
0.1b	(*.f64 0.0021164021164021165 (pow.f64 x 5))
0.1b	(*.f64 0.022222222222222223 (pow.f64 x 3))

rewrite27.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64`
19×	`associate-r_binary64`
14×	`add-exp-log_binary64`
11×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `add-cube-cbrt_binary64`
8×	`add-cbrt-cube_binary64` `unpow-prod-down_binary64`
7×	`unswap-sqr_binary64`
6×	`associate-l_binary64` `prod-exp_binary64`
4×	`pow1_binary64` `sqr-pow_binary64` `cube-prod_binary64` `sum-log_binary64`
2×	`pow-to-exp_binary64` `flip3-+_binary64` `cbrt-unprod_binary64` `+-commutative_binary64` `flip-+_binary64` `pow-exp_binary64` `*-commutative_binary64`
1×	`associate-+l+_binary64` `unpow3_binary64` `cube-mult_binary64`

Counts

4 → 80

Calls

4 calls:

8.0ms	(+.f64 (+.f64 (.f64 0.022222222222222223 (pow.f64 x 3)) (.f64 0.0021164021164021165 (pow.f64 x 5))) (*.f64 x 0.3333333333333333))
6.0ms	(*.f64 0.022222222222222223 (pow.f64 x 3))
5.0ms	(+.f64 (.f64 0.022222222222222223 (pow.f64 x 3)) (.f64 0.0021164021164021165 (pow.f64 x 5)))
5.0ms	(*.f64 0.0021164021164021165 (pow.f64 x 5))

series36.0ms (0.4%)

Counts

4 → 12

Calls

4 calls:

16.0ms	(+.f64 (.f64 0.022222222222222223 (pow.f64 x 3)) (.f64 0.0021164021164021165 (pow.f64 x 5)))
8.0ms	(+.f64 (+.f64 (.f64 0.022222222222222223 (pow.f64 x 3)) (.f64 0.0021164021164021165 (pow.f64 x 5))) (*.f64 x 0.3333333333333333))
6.0ms	(*.f64 0.0021164021164021165 (pow.f64 x 5))
5.0ms	(*.f64 0.022222222222222223 (pow.f64 x 3))

simplify49.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5227	920

prune133.0ms (1.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	92	6	98

Merged error: 0.3b

Counts

98 → 6

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (+.f64 (.f64 0.022222222222222223 (pow.f64 x 3)) (+.f64 (.f64 0.0021164021164021165 (pow.f64 x 5)) (.f64 x 0.3333333333333333)))) (cbrt.f64 (+.f64 (.f64 0.022222222222222223 (pow.f64 x 3)) (+.f64 (.f64 0.0021164021164021165 (pow.f64 x 5)) (*.f64 x 0.3333333333333333)))))
0.7b	(cbrt.f64 (+.f64 (.f64 0.022222222222222223 (pow.f64 x 3)) (+.f64 (.f64 0.0021164021164021165 (pow.f64 x 5)) (*.f64 x 0.3333333333333333))))
0.7b	(cbrt.f64 (+.f64 (.f64 0.022222222222222223 (pow.f64 x 3)) (+.f64 (.f64 0.0021164021164021165 (pow.f64 x 5)) (*.f64 x 0.3333333333333333))))
0.7b	(cbrt.f64 (+.f64 (.f64 0.022222222222222223 (pow.f64 x 3)) (+.f64 (.f64 0.0021164021164021165 (pow.f64 x 5)) (*.f64 x 0.3333333333333333))))

rewrite47.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
18×	`cbrt-div_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`flip3-+_binary64` `pow1/3_binary64` `flip-+_binary64`
6×	`swap-sqr_binary64` `associate-r_binary64` `add-exp-log_binary64` `associate-l_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64` `frac-times_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `associate-r/_binary64` `pow-sqr_binary64` `associate-l/_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 87

Calls

4 calls:

21.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 0.022222222222222223 (pow.f64 x 3)) (+.f64 (.f64 0.0021164021164021165 (pow.f64 x 5)) (.f64 x 0.3333333333333333)))) (cbrt.f64 (+.f64 (.f64 0.022222222222222223 (pow.f64 x 3)) (+.f64 (.f64 0.0021164021164021165 (pow.f64 x 5)) (*.f64 x 0.3333333333333333)))))
8.0ms	(cbrt.f64 (+.f64 (.f64 0.022222222222222223 (pow.f64 x 3)) (+.f64 (.f64 0.0021164021164021165 (pow.f64 x 5)) (*.f64 x 0.3333333333333333))))
8.0ms	(cbrt.f64 (+.f64 (.f64 0.022222222222222223 (pow.f64 x 3)) (+.f64 (.f64 0.0021164021164021165 (pow.f64 x 5)) (*.f64 x 0.3333333333333333))))
8.0ms	(cbrt.f64 (+.f64 (.f64 0.022222222222222223 (pow.f64 x 3)) (+.f64 (.f64 0.0021164021164021165 (pow.f64 x 5)) (*.f64 x 0.3333333333333333))))

series104.0ms (1.2%)

Counts

4 → 12

Calls

4 calls:

31.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 0.022222222222222223 (pow.f64 x 3)) (+.f64 (.f64 0.0021164021164021165 (pow.f64 x 5)) (.f64 x 0.3333333333333333)))) (cbrt.f64 (+.f64 (.f64 0.022222222222222223 (pow.f64 x 3)) (+.f64 (.f64 0.0021164021164021165 (pow.f64 x 5)) (*.f64 x 0.3333333333333333)))))
24.0ms	(cbrt.f64 (+.f64 (.f64 0.022222222222222223 (pow.f64 x 3)) (+.f64 (.f64 0.0021164021164021165 (pow.f64 x 5)) (*.f64 x 0.3333333333333333))))
24.0ms	(cbrt.f64 (+.f64 (.f64 0.022222222222222223 (pow.f64 x 3)) (+.f64 (.f64 0.0021164021164021165 (pow.f64 x 5)) (*.f64 x 0.3333333333333333))))
24.0ms	(cbrt.f64 (+.f64 (.f64 0.022222222222222223 (pow.f64 x 3)) (+.f64 (.f64 0.0021164021164021165 (pow.f64 x 5)) (*.f64 x 0.3333333333333333))))

simplify40.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	4987	3186
1	4987	3186

prune364.0ms (4.1%)

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	90	9	99
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	90	15	105

Merged error: 0.2b

Counts

105 → 15

regimes88.0ms (1%)

Accuracy

Total 0.1b remaining (42.8%)

Threshold costs 0.1b (42.8%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	15
1	18	15

end0.0ms (0%)

sample7.2s (82%)

Algorithm

1×

intervals

Results

5.4s	3276×	body	2560	valid
1.3s	2453×	body	1280	valid
226.0ms	1235×	body	640	valid
125.0ms	8000×	pre	80	true
72.0ms	644×	body	320	valid
27.0ms	344×	body	160	valid
2.0ms	48×	body	80	valid

Details

analyze6.0ms (0.1%)

sample270.0ms (3.1%)

simplify13.0ms (0.1%)

prune4.0ms (0%)

localize5.0ms (0.1%)

rewrite14.0ms (0.2%)

series24.0ms (0.3%)

simplify46.0ms (0.5%)

prune36.0ms (0.4%)

localize10.0ms (0.1%)

rewrite22.0ms (0.3%)

series19.0ms (0.2%)

simplify57.0ms (0.7%)

prune149.0ms (1.7%)

localize11.0ms (0.1%)

rewrite27.0ms (0.3%)

series36.0ms (0.4%)

simplify49.0ms (0.6%)

prune133.0ms (1.5%)

localize14.0ms (0.2%)

rewrite47.0ms (0.5%)

series104.0ms (1.2%)

simplify40.0ms (0.4%)

prune364.0ms (4.1%)

regimes88.0ms (1%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample7.2s (82%)

Profiling