Details

analyze1.0s (9.3%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4810	96
1	4810	96
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
12.5%	87.4%	0.1%	5
18.7%	81.1%	0.1%	6
21.8%	71.8%	6.4%	7
31.2%	62.4%	6.4%	8
35.9%	55.4%	8.7%	9
37.8%	48.8%	13.4%	10
42.7%	42.3%	15%	11
47.7%	34.2%	18.1%	12
49.1%	30.4%	20.5%	13
51.9%	25.8%	22.3%	14

Compiler

Compiled 18 to 15 computations (16.7% saved)

sample39.0ms (0.4%)

Algorithm

1×

intervals

Results

9.0ms	182×	body	128	valid
9.0ms	34×	body	2048	valid
4.0ms	21×	body	1024	valid
2.0ms	7×	body	4096	valid
1.0ms	19×	body	128	nan
1.0ms	5×	body	512	valid
1.0ms	7×	body	256	valid
1.0ms	11×	body	128	invalid

Compiler

Compiled 35 to 32 computations (8.6% saved)

simplify401.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (396.0ms)

Iter	Nodes	Cost
0	1834	24
1	1834	24

prune4.0ms (0%)

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

31.5b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))) a)
0.4b	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
1.1b	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
22.6b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

rewrite157.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

31.3b

Rules

24×	`*-un-lft-identity_binary64_760`
15×	`add-sqr-sqrt_binary64_782`
14×	`add-cube-cbrt_binary64_795`
12×	`times-frac_binary64_766`
8×	`add-log-exp_binary64_799`
6×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
5×	`pow1_binary64_821` `distribute-lft-out_binary64_711`
4×	`associate-/l*_binary64_705`
3×	`sqrt-prod_binary64_776` `associate-/r*_binary64_704`
2×	`flip3--_binary64_764` `sqrt-div_binary64_777` `flip--_binary64_735` `flip3-+_binary64_763` `flip-+_binary64_734` `associate-/l/_binary64_707`
1×	`pow1/2_binary64_840` `sqrt-pow1_binary64_778` `rem-sqrt-square_binary64_773` `sum-log_binary64_851` `+-commutative_binary64_690` `diff-log_binary64_852` `sub-neg_binary64_753` `cancel-sign-sub-inv_binary64_726` `div-exp_binary64_811` `cbrt-undiv_binary64_794` `frac-2neg_binary64_771` `clear-num_binary64_759` `div-inv_binary64_757`

Counts

4 → 72

Calls

4 calls:

8.0ms	(/.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))) a)
6.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
4.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))

Compiler

Compiled 2053 to 1050 computations (48.9% saved)

series929.0ms (8.5%)

Error

7.4b

Counts

4 → 77

Calls

4 calls:

266.0ms	(/.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))) a)
219.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
204.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
153.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 3528 to 2676 computations (24.1% saved)

simplify64.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5314	3085

prune208.0ms (1.9%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	136	13	149
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	136	14	150

Error

7.3b

Counts

150 → 14

Compiler

Compiled 3306 to 1747 computations (47.2% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

1.1b	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
1.1b	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
22.6b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
22.6b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

rewrite119.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

7.3b

Rules

10×	`*-un-lft-identity_binary64_760`
8×	`add-log-exp_binary64_799` `add-sqr-sqrt_binary64_782`
6×	`pow1_binary64_821` `add-cube-cbrt_binary64_795` `sqrt-prod_binary64_776`
4×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `sqrt-div_binary64_777`
2×	`pow1/2_binary64_840` `sqrt-pow1_binary64_778` `flip3--_binary64_764` `flip--_binary64_735` `rem-sqrt-square_binary64_773` `sum-log_binary64_851` `flip3-+_binary64_763` `flip-+_binary64_734` `distribute-lft-out_binary64_711` `+-commutative_binary64_690`

Counts

4 → 54

Calls

4 calls:

7.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
6.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
6.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 2320 to 1211 computations (47.8% saved)

series715.0ms (6.5%)

Error

7.3b

Counts

4 → 60

Calls

4 calls:

192.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
187.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
127.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
124.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))

Compiler

Compiled 5160 to 3496 computations (32.2% saved)

simplify83.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4981	1938
1	4981	1938

prune204.0ms (1.9%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	114	0	114
Fresh	0	12	12
Picked	0	1	1
Done	0	1	1
Total	114	14	128

Error

7.3b

Counts

128 → 14

Compiler

Compiled 4060 to 2157 computations (46.9% saved)

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.1b	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
1.1b	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
22.6b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
22.6b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

rewrite138.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

7.3b

Rules

10×	`*-un-lft-identity_binary64_760`
8×	`add-log-exp_binary64_799` `add-sqr-sqrt_binary64_782`
6×	`pow1_binary64_821` `add-cube-cbrt_binary64_795` `sqrt-prod_binary64_776`
4×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `sqrt-div_binary64_777`
2×	`pow1/2_binary64_840` `sqrt-pow1_binary64_778` `flip3--_binary64_764` `flip--_binary64_735` `rem-sqrt-square_binary64_773` `sum-log_binary64_851` `flip3-+_binary64_763` `flip-+_binary64_734` `distribute-lft-out_binary64_711` `+-commutative_binary64_690`

Counts

4 → 54

Calls

4 calls:

10.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
8.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
7.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
6.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))

Compiler

Compiled 2320 to 1211 computations (47.8% saved)

series587.0ms (5.4%)

Error

7.3b

Counts

4 → 48

Calls

4 calls:

146.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
137.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
124.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
110.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 4104 to 2788 computations (32.1% saved)

simplify68.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5526	1656

prune167.0ms (1.5%)

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	102	0	102
Fresh	0	11	11
Picked	0	1	1
Done	0	2	2
Total	102	14	116

Error

7.3b

Counts

116 → 14

Compiler

Compiled 3597 to 1949 computations (45.8% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 a)
0.6b	(cbrt.f64 a)
1.1b	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
22.6b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

rewrite107.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

7.3b

Rules

9×	`*-un-lft-identity_binary64_760`
8×	`add-sqr-sqrt_binary64_782`
7×	`add-cube-cbrt_binary64_795`
6×	`add-log-exp_binary64_799` `cbrt-prod_binary64_791`
5×	`pow1_binary64_821`
4×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
3×	`sqrt-prod_binary64_776`
2×	`sqrt-div_binary64_777` `pow1/3_binary64_842`
1×	`pow1/2_binary64_840` `sqrt-pow1_binary64_778` `flip3--_binary64_764` `flip--_binary64_735` `rem-sqrt-square_binary64_773` `sum-log_binary64_851` `flip3-+_binary64_763` `flip-+_binary64_734` `distribute-lft-out_binary64_711` `+-commutative_binary64_690`

Counts

4 → 49

Calls

4 calls:

12.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
8.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
2.0ms	(cbrt.f64 a)
2.0ms	(cbrt.f64 a)

Compiler

Compiled 1640 to 763 computations (53.5% saved)

series642.0ms (5.9%)

Error

7.3b

Counts

4 → 45

Calls

4 calls:

224.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
159.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
108.0ms	(cbrt.f64 a)
90.0ms	(cbrt.f64 a)

Compiler

Compiled 3290 to 2199 computations (33.2% saved)

simplify103.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4905	1425
1	4905	1425

prune118.0ms (1.1%)

Pruning

14 alts after pruning (10 fresh and 4 done)

	Pruned	Kept	Total
New	92	2	94
Fresh	2	8	10
Picked	0	1	1
Done	0	3	3
Total	94	14	108

Error

7.3b

Counts

108 → 14

Compiler

Compiled 2665 to 1221 computations (54.2% saved)

regimes1.4s (13.3%)

Accuracy

Total 4.8b remaining (45%)

Threshold costs 0b (0%)

Compiler

Compiled 7992 to 5726 computations (28.4% saved)

bsearch58.0ms (0.5%)

Steps

Iters	Range		Point
8	7.168146400062559e+23	1.5058605061270743e+28	1.478133240814697e+28
7	-3.235090601423513e-48	-1.3385220264728834e-49	-2.9717588257544654e-49

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	77	56
1	77	56

end0.0ms (0%)

sample3.5s (31.8%)

Algorithm

1×

intervals

Results

330.0ms	1095×	body	2048	valid
316.0ms	5206×	body	128	valid
168.0ms	728×	body	1024	valid
152.0ms	398×	body	4096	valid
73.0ms	405×	body	512	valid
40.0ms	690×	body	128	nan
29.0ms	406×	body	128	invalid
20.0ms	168×	body	256	valid

Compiler

Compiled 2086 to 1493 computations (28.4% saved)

Details

analyze1.0s (9.3%)

sample39.0ms (0.4%)

simplify401.0ms (3.7%)

prune4.0ms (0%)

localize10.0ms (0.1%)

rewrite157.0ms (1.4%)

series929.0ms (8.5%)

simplify64.0ms (0.6%)

prune208.0ms (1.9%)

localize13.0ms (0.1%)

rewrite119.0ms (1.1%)

series715.0ms (6.5%)

simplify83.0ms (0.8%)

prune204.0ms (1.9%)

localize26.0ms (0.2%)

rewrite138.0ms (1.3%)

series587.0ms (5.4%)

simplify68.0ms (0.6%)

prune167.0ms (1.5%)

localize18.0ms (0.2%)

rewrite107.0ms (1%)

series642.0ms (5.9%)

simplify103.0ms (0.9%)

prune118.0ms (1.1%)

regimes1.4s (13.3%)

bsearch58.0ms (0.5%)

simplify3.0ms (0%)

end0.0ms (0%)

sample3.5s (31.8%)

Profiling