Details

analyze463.0ms (5.8%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4946	38
1	4946	38
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	12.5%	87.5%	0
0%	12.5%	87.5%	1
0%	12.5%	87.5%	2
3.1%	9.3%	87.5%	3
3.1%	6.2%	90.7%	4
4.7%	4.7%	90.7%	5
4.7%	3.5%	91.8%	6
5.6%	2.5%	91.8%	7
5.9%	1.8%	92.3%	8
6.4%	1.3%	92.3%	9
6.6%	0.9%	92.5%	10
6.8%	0.6%	92.5%	11
6.9%	0.5%	92.6%	12
7%	0.3%	92.6%	13
7.1%	0.2%	92.7%	14

Compiler

Compiled 23 to 18 computations (21.7% saved)

sample36.0ms (0.4%)

Algorithm

1×

intervals

Results

13.0ms	259×	pre	128	true
8.0ms	256×	body	128	valid
0.0ms	3×	body	128	invalid

Compiler

Compiled 36 to 31 computations (13.9% saved)

simplify94.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (88.0ms)

Iter	Nodes	Cost
0	4924	19
1	4924	19

prune6.0ms (0.1%)

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

Error

0.1b

Counts

2 → 1

Compiler

Compiled 26 to 22 computations (15.4% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 m (-.f64 1 m))
0.0b	(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
0.0b	(/.f64 (*.f64 m (-.f64 1 m)) v)
0.1b	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))

rewrite298.0ms (3.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

33×	`add-sqr-sqrt_binary64`
27×	`*-un-lft-identity_binary64`
15×	`add-cube-cbrt_binary64` `cancel-sign-sub-inv_binary64`
13×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
12×	`associate-r_binary64`
10×	`associate-l_binary64`
9×	`flip3--_binary64` `flip--_binary64`
8×	`pow1_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `difference-of-squares_binary64`
6×	`add-log-exp_binary64` `associate-*r/_binary64`
5×	`sub-neg_binary64`
4×	`frac-times_binary64` `distribute-lft-out--_binary64`
3×	`prod-exp_binary64` `cbrt-unprod_binary64` `times-frac_binary64` `associate-/r*_binary64`
2×	`pow-prod-down_binary64` `unswap-sqr_binary64` `associate-l/_binary64` `difference-of-sqr-1_binary64` `-commutative_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `associate-/l/_binary64`
1×	`frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `associate-/l*_binary64` `diff-log_binary64`

Counts

4 → 113

Calls

4 calls:

18.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
9.0ms	(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
8.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
8.0ms	(*.f64 m (-.f64 1 m))

Compiler

Compiled 2418 to 1672 computations (30.9% saved)

series658.0ms (8.2%)

Error

0.0b

Counts

4 → 48

Calls

4 calls:

217.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
199.0ms	(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
154.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
53.0ms	(*.f64 m (-.f64 1 m))

Compiler

Compiled 1170 to 918 computations (21.5% saved)

simplify71.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

161 → 161

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4990	2592
1	4990	2592

prune172.0ms (2.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	158	3	161
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	158	4	162

Error

0.0b

Counts

162 → 4

Compiler

Compiled 1950 to 1215 computations (37.7% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 m (/.f64 m v))
0.0b	(-.f64 (+.f64 m (/.f64 m v)) (+.f64 1 (.f64 2 (.f64 (/.f64 m v) m))))
0.2b	(*.f64 (/.f64 m v) m)
8.6b	(/.f64 (pow.f64 m 3) v)

rewrite308.0ms (3.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

46×	`times-frac_binary64`
45×	`add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
38×	`add-cube-cbrt_binary64`
18×	`add-log-exp_binary64`
14×	`add-exp-log_binary64`
13×	`associate-l_binary64`
12×	`unpow-prod-down_binary64` `cube-prod_binary64` `associate-/l*_binary64`
11×	`add-cbrt-cube_binary64`
6×	`pow1_binary64`
5×	`sum-log_binary64` `flip3-+_binary64` `flip-+_binary64`
4×	`div-exp_binary64` `unpow3_binary64` `cube-mult_binary64` `sqr-pow_binary64` `diff-log_binary64` `frac-sub_binary64`
3×	`associate-/r_binary64` `associate-r*_binary64` `cancel-sign-sub-inv_binary64`
2×	`cbrt-undiv_binary64` `div-inv_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64`
1×	`pow-to-exp_binary64` `pow-exp_binary64` `frac-2neg_binary64` `clear-num_binary64` `pow-prod-down_binary64` `associate-l/_binary64` `-commutative_binary64` `flip3--_binary64` `sub-neg_binary64` `flip--_binary64` `difference-of-squares_binary64` `associate--l+_binary64` `associate--r+_binary64` `+-commutative_binary64`

Counts

4 → 135

Calls

4 calls:

13.0ms	(-.f64 (+.f64 m (/.f64 m v)) (+.f64 1 (.f64 2 (.f64 (/.f64 m v) m))))
7.0ms	(*.f64 (/.f64 m v) m)
6.0ms	(+.f64 m (/.f64 m v))
6.0ms	(/.f64 (pow.f64 m 3) v)

Compiler

Compiled 3682 to 1628 computations (55.8% saved)

series634.0ms (7.9%)

Error

0.0b

Counts

4 → 36

Calls

4 calls:

280.0ms	(-.f64 (+.f64 m (/.f64 m v)) (+.f64 1 (.f64 2 (.f64 (/.f64 m v) m))))
133.0ms	(/.f64 (pow.f64 m 3) v)
103.0ms	(*.f64 (/.f64 m v) m)
95.0ms	(+.f64 m (/.f64 m v))

Compiler

Compiled 1409 to 1007 computations (28.5% saved)

simplify60.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

171 → 171

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5500	2556

prune210.0ms (2.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	171	0	171
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	171	4	175

Error

0.0b

Counts

175 → 4

Compiler

Compiled 2872 to 1296 computations (54.9% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 -1 (*.f64 (/.f64 m v) (-.f64 1 m)))
0.0b	(*.f64 (/.f64 m v) (-.f64 1 m))
0.0b	(*.f64 (/.f64 m v) (-.f64 1 m))
0.1b	(.f64 (+.f64 -1 (.f64 (/.f64 m v) (-.f64 1 m))) (neg.f64 m))

rewrite350.0ms (4.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

48×	`add-sqr-sqrt_binary64`
36×	`*-un-lft-identity_binary64`
30×	`add-cube-cbrt_binary64`
29×	`associate-l_binary64`
22×	`associate-r_binary64`
20×	`times-frac_binary64`
18×	`cancel-sign-sub-inv_binary64`
16×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
12×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64`
10×	`pow1_binary64`
8×	`associate-+r+_binary64`
6×	`add-log-exp_binary64` `sub-neg_binary64`
5×	`prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64`
4×	`associate-l/_binary64` `flip3--_binary64` `frac-times_binary64` `flip--_binary64` `associate-r/_binary64` `difference-of-squares_binary64`
3×	`pow-prod-down_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64` `*-commutative_binary64`
2×	`flip3-+_binary64` `flip-+_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `div-inv_binary64` `distribute-lft-out--_binary64`
1×	`distribute-rgt-neg-out_binary64` `neg-mul-1_binary64` `sum-log_binary64` `+-commutative_binary64`

Counts

4 → 141

Calls

4 calls:

11.0ms	(*.f64 (/.f64 m v) (-.f64 1 m))
11.0ms	(*.f64 (/.f64 m v) (-.f64 1 m))
7.0ms	(.f64 (+.f64 -1 (.f64 (/.f64 m v) (-.f64 1 m))) (neg.f64 m))
5.0ms	(+.f64 -1 (*.f64 (/.f64 m v) (-.f64 1 m)))

Compiler

Compiled 4077 to 2185 computations (46.4% saved)

series908.0ms (11.4%)

Error

0.0b

Counts

4 → 48

Calls

4 calls:

327.0ms	(.f64 (+.f64 -1 (.f64 (/.f64 m v) (-.f64 1 m))) (neg.f64 m))
222.0ms	(+.f64 -1 (*.f64 (/.f64 m v) (-.f64 1 m)))
157.0ms	(*.f64 (/.f64 m v) (-.f64 1 m))
151.0ms	(*.f64 (/.f64 m v) (-.f64 1 m))

Compiler

Compiled 2068 to 1461 computations (29.4% saved)

simplify75.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

189 → 189

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4969	2526
1	4969	2526

prune254.0ms (3.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	189	0	189
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	189	4	193

Error

0.0b

Counts

193 → 4

Compiler

Compiled 3461 to 1642 computations (52.6% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (/.f64 m v) (-.f64 1 m))
0.1b	(sqrt.f64 (*.f64 (/.f64 m v) (-.f64 1 m)))
0.1b	(sqrt.f64 (/.f64 (*.f64 m (-.f64 1 m)) v))
0.2b	(.f64 (+.f64 (sqrt.f64 (/.f64 (.f64 m (-.f64 1 m)) v)) 1) (.f64 (-.f64 1 m) (+.f64 -1 (sqrt.f64 (.f64 (/.f64 m v) (-.f64 1 m))))))

rewrite473.0ms (5.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

32×	`frac-times_binary64`
27×	`add-sqr-sqrt_binary64`
23×	`*-un-lft-identity_binary64`
18×	`flip3-+_binary64` `flip-+_binary64` `associate-r/_binary64` `associate-l*_binary64`
17×	`add-cube-cbrt_binary64`
15×	`pow1_binary64`
14×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
13×	`flip3--_binary64` `flip--_binary64` `times-frac_binary64`
10×	`associate-*l/_binary64`
9×	`sqrt-prod_binary64`
8×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64`
7×	`associate-r_binary64`
6×	`sqrt-div_binary64` `cancel-sign-sub-inv_binary64`
5×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64`
4×	`add-log-exp_binary64`
3×	`sqrt-pow1_binary64`
2×	`distribute-lft-out_binary64` `*-commutative_binary64` `pow1/2_binary64` `div-inv_binary64` `unswap-sqr_binary64` `sub-neg_binary64` `difference-of-squares_binary64`
1×	`rem-sqrt-square_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `distribute-lft-out--_binary64`

Counts

4 → 131

Calls

4 calls:

22.0ms	(.f64 (+.f64 (sqrt.f64 (/.f64 (.f64 m (-.f64 1 m)) v)) 1) (.f64 (-.f64 1 m) (+.f64 -1 (sqrt.f64 (.f64 (/.f64 m v) (-.f64 1 m))))))
11.0ms	(*.f64 (/.f64 m v) (-.f64 1 m))
6.0ms	(sqrt.f64 (*.f64 (/.f64 m v) (-.f64 1 m)))
5.0ms	(sqrt.f64 (/.f64 (*.f64 m (-.f64 1 m)) v))

Compiler

Compiled 5276 to 3598 computations (31.8% saved)

series614.0ms (7.7%)

Error

0.0b

Counts

4 → 28

Calls

4 calls:

258.0ms	(.f64 (+.f64 (sqrt.f64 (/.f64 (.f64 m (-.f64 1 m)) v)) 1) (.f64 (-.f64 1 m) (+.f64 -1 (sqrt.f64 (.f64 (/.f64 m v) (-.f64 1 m))))))
154.0ms	(*.f64 (/.f64 m v) (-.f64 1 m))
92.0ms	(sqrt.f64 (/.f64 (*.f64 m (-.f64 1 m)) v))
89.0ms	(sqrt.f64 (*.f64 (/.f64 m v) (-.f64 1 m)))

Compiler

Compiled 1915 to 1528 computations (20.2% saved)

simplify86.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

159 → 159

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5001	3742

prune287.0ms (3.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	158	1	159
Fresh	0	0	0
Picked	1	0	1
Done	0	3	3
Total	159	4	163

Error

0.0b

Counts

163 → 4

Compiler

Compiled 3908 to 2540 computations (35% saved)

regimes1.0s (12.9%)

Accuracy

Total 0.1b remaining (76.8%)

Threshold costs 0.1b (76.8%)

Compiler

Compiled 11558 to 9003 computations (22.1% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	67	31
1	67	31

end2.0ms (0%)

Compiler: Compiled 21 to 14 computations (33.3% saved)

sample851.0ms (10.6%)

Algorithm

1×

intervals

Results

274.0ms	8000×	body	128	valid
154.0ms	8055×	pre	128	true
2.0ms	55×	body	128	invalid

Compiler

Compiled 141 to 113 computations (19.9% saved)

Details

analyze463.0ms (5.8%)

sample36.0ms (0.4%)

simplify94.0ms (1.2%)

prune6.0ms (0.1%)

localize9.0ms (0.1%)

rewrite298.0ms (3.7%)

series658.0ms (8.2%)

simplify71.0ms (0.9%)

prune172.0ms (2.2%)

localize12.0ms (0.2%)

rewrite308.0ms (3.9%)

series634.0ms (7.9%)

simplify60.0ms (0.8%)

prune210.0ms (2.6%)

localize12.0ms (0.1%)

rewrite350.0ms (4.4%)

series908.0ms (11.4%)

simplify75.0ms (0.9%)

prune254.0ms (3.2%)

localize15.0ms (0.2%)

rewrite473.0ms (5.9%)

series614.0ms (7.7%)

simplify86.0ms (1.1%)

prune287.0ms (3.6%)

regimes1.0s (12.9%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end2.0ms (0%)

sample851.0ms (10.6%)

Profiling