Details

analyze4.0ms (0.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
62.5%	37.5%	0%	4
81.2%	18.7%	0%	5
90.6%	9.4%	0%	6
95.3%	4.7%	0%	7
97.6%	2.3%	0%	8
98.8%	1.2%	0%	9
99.4%	0.6%	0%	10
99.7%	0.3%	0%	11
99.8%	0.1%	0%	12
99.9%	0.1%	0%	13
99.9%	0%	0%	14

sample18.0ms (1.5%)

Algorithm

1×

intervals

Results

7.0ms	74×	body	640	valid
3.0ms	43×	body	320	valid
3.0ms	121×	body	80	valid
1.0ms	18×	body	160	valid

simplify39.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	497	9
1	497	9

prune4.0ms (0.3%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 12.5b

Counts

2 → 1

localize5.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 1.0 (+.f64 x 1.0))
1.8b	(-.f64 (/.f64 1.0 (+.f64 x 1.0)) (/.f64 1.0 x))

rewrite24.0ms (2%)

Algorithm

1×	rewrite-expression-head

Rules

40×	`*-un-lft-identity_binary64`
28×	`times-frac_binary64`
27×	`add-sqr-sqrt_binary64`
15×	`add-cube-cbrt_binary64`
8×	`distribute-lft-out--_binary64`
7×	`distribute-lft-out_binary64`
4×	`associate-/r*_binary64` `add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `difference-of-squares_binary64`
3×	`associate-/l*_binary64` `div-inv_binary64`
2×	`pow1_binary64` `associate-/r/_binary64`
1×	`flip3-+_binary64` `sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-exp_binary64` `flip--_binary64` `flip-+_binary64` `frac-sub_binary64`

Counts

2 → 57

Calls

2 calls:

17.0ms	(-.f64 (/.f64 1.0 (+.f64 x 1.0)) (/.f64 1.0 x))
5.0ms	(/.f64 1.0 (+.f64 x 1.0))

series8.0ms (0.6%)

Counts

2 → 6

Calls

2 calls:

5.0ms	(-.f64 (/.f64 1.0 (+.f64 x 1.0)) (/.f64 1.0 x))
3.0ms	(/.f64 1.0 (+.f64 x 1.0))

simplify50.0ms (4.1%)

Algorithm

1×	egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5088	709

prune78.0ms (6.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	61	2	63
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	61	3	64

Merged error: 0.2b

Counts

64 → 3

localize6.0ms (0.5%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 x (+.f64 1.0 x))
0.2b	(/.f64 (.f64 1.0 (neg.f64 1.0)) (.f64 x (+.f64 1.0 x)))

rewrite17.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
5×	`cbrt-unprod_binary64` `prod-exp_binary64`
4×	`pow1_binary64` `associate-r_binary64` `cbrt-undiv_binary64` `associate-*r/_binary64` `add-cube-cbrt_binary64` `div-exp_binary64`
3×	`associate-l_binary64`
2×	`flip3-+_binary64` `add-log-exp_binary64` `associate-/r/_binary64` `flip-+_binary64`
1×	`pow-prod-down_binary64` `associate-/r_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-out_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `times-frac_binary64` `div-inv_binary64` `distribute-frac-neg_binary64` `*-commutative_binary64`

Counts

2 → 47

Calls

2 calls:

9.0ms	(/.f64 (.f64 1.0 (neg.f64 1.0)) (.f64 x (+.f64 1.0 x)))
6.0ms	(*.f64 x (+.f64 1.0 x))

series12.0ms (1%)

Counts

2 → 6

Calls

2 calls:

8.0ms	(*.f64 x (+.f64 1.0 x))
4.0ms	(/.f64 (.f64 1.0 (neg.f64 1.0)) (.f64 x (+.f64 1.0 x)))

simplify24.0ms (2%)

Algorithm

1×	egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 0 (18.0ms)

Iter	Nodes	Cost
0	5052	474

prune67.0ms (5.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	50	3	53
Fresh	1	0	1
Picked	0	1	1
Done	1	0	1
Total	52	4	56

Merged error: 0.0b

Counts

56 → 4

localize6.0ms (0.5%)

Local error

Found 1 expressions with local error:

0.1b	(/.f64 (*.f64 (neg.f64 1.0) (/.f64 1.0 x)) (+.f64 1.0 x))

rewrite10.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`*-un-lft-identity_binary64`
4×	`associate-/r*_binary64` `cbrt-undiv_binary64` `times-frac_binary64` `div-exp_binary64`
3×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
2×	`cbrt-unprod_binary64` `distribute-lft-out_binary64` `associate-/r/_binary64` `prod-exp_binary64`
1×	`flip3-+_binary64` `associate-/l/_binary64` `add-log-exp_binary64` `pow1_binary64` `associate-r/_binary64` `distribute-lft-neg-out_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `div-inv_binary64` `distribute-frac-neg_binary64` `flip-+_binary64`

Counts

1 → 29

Calls

1 calls:

9.0ms

(/.f64 (*.f64 (neg.f64 1.0) (/.f64 1.0 x)) (+.f64 1.0 x))

series4.0ms (0.3%)

Counts

1 → 3

Calls

1 calls:

4.0ms

(/.f64 (*.f64 (neg.f64 1.0) (/.f64 1.0 x)) (+.f64 1.0 x))

simplify40.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5446	367

prune43.0ms (3.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	31	1	32
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	31	5	36

Merged error: 0.0b

Counts

36 → 5

localize10.0ms (0.8%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)

rewrite11.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`pow1/3_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`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 73

Calls

4 calls:

6.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

series80.0ms (6.6%)

Counts

4 → 12

Calls

4 calls:

22.0ms	(cbrt.f64 x)
22.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
18.0ms	(cbrt.f64 x)
18.0ms	(cbrt.f64 x)

simplify46.0ms (3.8%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4940	374
1	4940	374

prune90.0ms (7.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	85	5	90

Merged error: 0.0b

Counts

90 → 5

regimes31.0ms (2.5%)

Accuracy

Total 0.1b remaining (77%)

Threshold costs 0.1b (77%)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	40	10
1	40	10

end0.0ms (0%)

sample486.0ms (40%)

Algorithm

1×

intervals

Results

179.0ms	1917×	body	640	valid
104.0ms	4186×	body	80	valid
85.0ms	1261×	body	320	valid
29.0ms	636×	body	160	valid
0.0ms	1×	body	80	invalid

Details

analyze4.0ms (0.4%)

sample18.0ms (1.5%)

simplify39.0ms (3.2%)

prune4.0ms (0.3%)

localize5.0ms (0.4%)

rewrite24.0ms (2%)

series8.0ms (0.6%)

simplify50.0ms (4.1%)

prune78.0ms (6.4%)

localize6.0ms (0.5%)

rewrite17.0ms (1.4%)

series12.0ms (1%)

simplify24.0ms (2%)

prune67.0ms (5.5%)

localize6.0ms (0.5%)

rewrite10.0ms (0.8%)

series4.0ms (0.3%)

simplify40.0ms (3.3%)

prune43.0ms (3.5%)

localize10.0ms (0.8%)

rewrite11.0ms (0.9%)

series80.0ms (6.6%)

simplify46.0ms (3.8%)

prune90.0ms (7.4%)

regimes31.0ms (2.5%)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

end0.0ms (0%)

sample486.0ms (40%)

Profiling