Details

analyze886.0ms (8.6%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4877	216
1	4877	216
0	3	3
1	3	3

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
12.5%	87.4%	0.1%	6
20.3%	73.3%	6.4%	7
27.3%	66.3%	6.4%	8
38.2%	53%	8.7%	9
46%	40.6%	13.4%	10
49.9%	35.1%	15%	11
54.9%	26.9%	18.1%	12
57.4%	22%	20.6%	13
59.7%	18%	22.4%	14

Symmetry

Compiler

Compiled 39 to 27 computations (30.8% saved)

sample43.0ms (0.4%)

Algorithm

1×

intervals

Results

22.0ms	256×	body	128	valid
2.0ms	25×	body	128	nan
1.0ms	12×	body	128	invalid

Compiler

Compiled 77 to 56 computations (27.3% saved)

simplify343.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (337.0ms)

Iter	Nodes	Cost
0	2977	54
1	2977	54

prune8.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

20.3b

Counts

2 → 1

Compiler

Compiled 72 to 50 computations (30.6% saved)

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.0b	(-.f64 (.f64 b b) (.f64 c (*.f64 4 a)))
1.0b	(-.f64 (.f64 b b) (.f64 c (*.f64 4 a)))
25.4b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 4 a))))
25.4b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 4 a))))

Compiler

Compiled 765 to 1275 computations (-66.7% saved)

rewrite138.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

20.2b

Rules

8×	`add-log-exp_binary64` `add-sqr-sqrt_binary64`
6×	`pow1_binary64` `add-cube-cbrt_binary64` `sqrt-prod_binary64` `*-un-lft-identity_binary64`
4×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `flip3--_binary64` `sqrt-div_binary64` `flip--_binary64`
2×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `diff-log_binary64` `sub-neg_binary64` `cancel-sign-sub-inv_binary64`

Counts

4 → 54

Calls

4 calls:

10.0ms	(-.f64 (.f64 b b) (.f64 c (*.f64 4 a)))
6.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 4 a))))
4.0ms	(-.f64 (.f64 b b) (.f64 c (*.f64 4 a)))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 4 a))))

Compiler

Compiled 2530 to 1485 computations (41.3% saved)

series721.0ms (7%)

Error

6.4b

Counts

4 → 67

Calls

4 calls:

180.0ms	(-.f64 (.f64 b b) (.f64 c (*.f64 4 a)))
170.0ms	(-.f64 (.f64 b b) (.f64 c (*.f64 4 a)))
143.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 4 a))))
130.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 4 a))))

Compiler

Compiled 6112 to 4219 computations (31% saved)

simplify59.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5344	1872

prune210.0ms (2%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	113	8	121
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	114	8	122

Error

6.4b

Counts

122 → 8

Compiler

Compiled 5033 to 2904 computations (42.3% saved)

localize27.0ms (0.3%)

Local error

Found 4 expressions with local error:

7.8b	(+.f64 b (.f64 (sqrt.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (sqrt.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))))
25.4b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
25.4b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
25.4b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 4 a))))

Compiler

Compiled 765 to 1275 computations (-66.7% saved)

rewrite144.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

6.3b

Rules

10×	`add-sqr-sqrt_binary64`
9×	`sqrt-prod_binary64`
7×	`pow1_binary64` `add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
6×	`add-log-exp_binary64` `sqrt-div_binary64`
4×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`pow1/2_binary64` `sqrt-pow1_binary64` `flip3--_binary64` `flip--_binary64` `rem-sqrt-square_binary64`
1×	`sum-log_binary64` `flip3-+_binary64` `flip-+_binary64` `+-commutative_binary64`

Counts

4 → 56

Calls

4 calls:

4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 4 a))))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
3.0ms	(+.f64 b (.f64 (sqrt.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (sqrt.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))))

Compiler

Compiled 3535 to 1950 computations (44.8% saved)

series703.0ms (6.8%)

Error

6.4b

Counts

4 → 63

Calls

4 calls:

196.0ms	(+.f64 b (.f64 (sqrt.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (sqrt.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))))
143.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
141.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
122.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 4 a))))

Compiler

Compiled 7791 to 5138 computations (34.1% saved)

simplify59.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5262	2069

prune253.0ms (2.4%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	117	2	119
Fresh	3	4	7
Picked	1	0	1
Done	0	0	0
Total	121	6	127

Error

6.3b

Counts

127 → 6

Compiler

Compiled 6120 to 3420 computations (44.1% saved)

localize38.0ms (0.4%)

Local error

Found 4 expressions with local error:

25.4b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
25.4b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
25.4b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
25.4b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 4 a))))

Compiler

Compiled 765 to 1275 computations (-66.7% saved)

rewrite209.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

6.3b

Rules

12×	`add-sqr-sqrt_binary64` `sqrt-prod_binary64`
8×	`pow1_binary64` `add-cube-cbrt_binary64` `sqrt-div_binary64` `*-un-lft-identity_binary64`
4×	`pow1/2_binary64` `add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `sqrt-pow1_binary64` `flip3--_binary64` `flip--_binary64` `rem-sqrt-square_binary64`

Counts

4 → 60

Calls

4 calls:

5.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
5.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
5.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 4 a))))

Compiler

Compiled 5120 to 2779 computations (45.7% saved)

series775.0ms (7.5%)

Error

6.3b

Counts

4 → 61

Calls

4 calls:

160.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
160.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
158.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
132.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 4 a))))

Compiler

Compiled 12047 to 7311 computations (39.3% saved)

simplify75.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5212	2024

prune412.0ms (4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	121	6	127

Error

6.3b

Counts

127 → 6

Compiler

Compiled 9531 to 5202 computations (45.4% saved)

localize31.0ms (0.3%)

Local error

Found 4 expressions with local error:

7.3b	(-.f64 (.f64 (fabs.f64 (cbrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (sqrt.f64 (cbrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))) b)
25.4b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 4 a))))
26.2b	(cbrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
26.2b	(cbrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 765 to 1275 computations (-66.7% saved)

rewrite153.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

6.3b

Rules

9×	`add-sqr-sqrt_binary64`
8×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
6×	`add-log-exp_binary64` `cbrt-prod_binary64`
5×	`pow1_binary64`
4×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `flip3--_binary64` `cbrt-div_binary64` `flip--_binary64`
3×	`sqrt-prod_binary64` `cancel-sign-sub-inv_binary64`
2×	`pow1/3_binary64` `sqrt-div_binary64`
1×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `diff-log_binary64` `sub-neg_binary64`

Counts

4 → 55

Calls

4 calls:

10.0ms	(-.f64 (.f64 (fabs.f64 (cbrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (sqrt.f64 (cbrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))) b)
4.0ms	(cbrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 4 a))))
4.0ms	(cbrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 3495 to 1926 computations (44.9% saved)

series1.1s (10.9%)

Error

6.3b

Counts

4 → 65

Calls

4 calls:

355.0ms	(-.f64 (.f64 (fabs.f64 (cbrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (sqrt.f64 (cbrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))) b)
220.0ms	(cbrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
214.0ms	(cbrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
151.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 4 a))))

Compiler

Compiled 10378 to 7330 computations (29.4% saved)

simplify98.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4962	3797
1	4962	3797

prune283.0ms (2.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	119	1	120
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	119	7	126

Error

6.3b

Counts

126 → 7

Compiler

Compiled 7016 to 3925 computations (44.1% saved)

regimes810.0ms (7.8%)

Accuracy

Total 1.2b remaining (17.3%)

Threshold costs 0b (0%)

Compiler

Compiled 9698 to 6426 computations (33.7% saved)

bsearch6.0ms (0.1%)

Compiler: Compiled 38 to 26 computations (31.6% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	129	476
1	129	476

Removed

()

end0.0ms (0%)

sample2.7s (26.2%)

Algorithm

1×

intervals

Results

684.0ms	8000×	body	128	valid
49.0ms	643×	body	128	nan
33.0ms	387×	body	128	invalid

Compiler

Compiled 2758 to 1809 computations (34.4% saved)

Details

analyze886.0ms (8.6%)

sample43.0ms (0.4%)

simplify343.0ms (3.3%)

prune8.0ms (0.1%)

localize23.0ms (0.2%)

rewrite138.0ms (1.3%)

series721.0ms (7%)

simplify59.0ms (0.6%)

prune210.0ms (2%)

localize27.0ms (0.3%)

rewrite144.0ms (1.4%)

series703.0ms (6.8%)

simplify59.0ms (0.6%)

prune253.0ms (2.4%)

localize38.0ms (0.4%)

rewrite209.0ms (2%)

series775.0ms (7.5%)

simplify75.0ms (0.7%)

prune412.0ms (4%)

localize31.0ms (0.3%)

rewrite153.0ms (1.5%)

series1.1s (10.9%)

simplify98.0ms (0.9%)

prune283.0ms (2.7%)

regimes810.0ms (7.8%)

bsearch6.0ms (0.1%)

simplify7.0ms (0.1%)

end0.0ms (0%)

sample2.7s (26.2%)

Profiling