Details

analyze329.0ms (7.9%)

Algorithm

1×

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
25%	74.9%	0.1%	5
25%	68.7%	6.3%	6
25%	53.1%	22%	7
25%	46.8%	28.2%	8
25%	33.6%	41.5%	9
28.1%	18%	54%	10
31.6%	12.1%	56.3%	11
33.4%	5.9%	60.8%	12
35.2%	3.8%	61%	13
36.1%	2.9%	61%	14

Compiler

Compiled 30 to 20 computations (33.3% saved)

sample24.0ms (0.6%)

Algorithm

1×

intervals

Results

17.0ms

256×

body

128

valid

Compiler

Compiled 59 to 41 computations (30.5% saved)

simplify236.0ms (5.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	5070	43

prune3.0ms (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

Merged error: 0.2b

Counts

2 → 1

Compiler

Compiled 58 to 38 computations (34.5% saved)

localize15.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))
0.0b	(.f64 (.f64 a a) (-.f64 1 a))
0.3b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
0.8b	(.f64 (.f64 b b) (+.f64 3 a))

rewrite44.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`add-sqr-sqrt_binary64_2153` `add-exp-log_binary64_2169` `*-un-lft-identity_binary64_2131` `pow1_binary64_2192`
14×	`add-cbrt-cube_binary64_2167`
10×	`add-cube-cbrt_binary64_2166` `associate-r_binary64_2071`
6×	`pow-prod-down_binary64_2202` `cancel-sign-sub-inv_binary64_2097` `cbrt-unprod_binary64_2164` `prod-exp_binary64_2180` `add-log-exp_binary64_2170` `distribute-rgt-in_binary64_2081` `distribute-lft-in_binary64_2080`
4×	`associate-*r/_binary64_2073`
3×	`unpow-prod-down_binary64_2210` `pow-unpow_binary64_2208`
2×	`sub-neg_binary64_2124` `flip-+_binary64_2105` `flip3-+_binary64_2134` `difference-of-squares_binary64_2100` `associate-+r+_binary64_2063` `associate-l_binary64_2072` `unswap-sqr_binary64_2099` `*-commutative_binary64_2062`
1×	`+-commutative_binary64_2061` `flip--_binary64_2106` `pow-to-exp_binary64_2200` `distribute-lft-out--_binary64_2083` `pow-exp_binary64_2199` `sum-log_binary64_2222` `flip3--_binary64_2135` `distribute-lft-out_binary64_2082` `pow-pow_binary64_2203` `unpow2_binary64_2196` `sqr-pow_binary64_2103`

Counts

4 → 87

Calls

4 calls:

10.0ms	(.f64 (.f64 a a) (-.f64 1 a))
9.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))
9.0ms	(.f64 (.f64 b b) (+.f64 3 a))
5.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

series300.0ms (7.2%)

Counts

4 → 12

Calls

4 calls:

136.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))
63.0ms	(.f64 (.f64 a a) (-.f64 1 a))
54.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
48.0ms	(.f64 (.f64 b b) (+.f64 3 a))

simplify53.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5074	1789

prune152.0ms (3.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	96	3	99
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	97	3	100

Merged error: 0b

Counts

100 → 3

Compiler

Compiled 3493 to 1784 computations (48.9% saved)

localize20.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (+.f64 (.f64 2 (.f64 (.f64 b b) (.f64 a a))) (+.f64 (pow.f64 b 4) (pow.f64 a 4))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))
0.0b	(.f64 (.f64 a a) (-.f64 1 a))
0.8b	(.f64 (.f64 b b) (+.f64 3 a))
3.0b	(.f64 (.f64 b b) (*.f64 a a))

rewrite81.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Rules

42×	`pow1_binary64_2192`
32×	`associate-*r/_binary64_2073`
26×	`add-exp-log_binary64_2169` `add-cbrt-cube_binary64_2167`
20×	`pow-prod-down_binary64_2202` `frac-add_binary64_2139`
14×	`flip-+_binary64_2105` `flip3-+_binary64_2134` `cbrt-unprod_binary64_2164` `prod-exp_binary64_2180`
13×	`add-log-exp_binary64_2170` `add-sqr-sqrt_binary64_2153` `*-un-lft-identity_binary64_2131`
11×	`associate-r_binary64_2071`
8×	`add-cube-cbrt_binary64_2166`
6×	`cancel-sign-sub-inv_binary64_2097` `sum-log_binary64_2222` `distribute-rgt-in_binary64_2081` `distribute-lft-in_binary64_2080`
5×	`flip--_binary64_2106` `flip3--_binary64_2135`
4×	`pow-plus_binary64_2194` `pow-prod-up_binary64_2201`
3×	`associate-l_binary64_2072` `unswap-sqr_binary64_2099` `*-commutative_binary64_2062`
2×	`sub-neg_binary64_2124` `difference-of-squares_binary64_2100` `associate-+r+_binary64_2063` `pow-sqr_binary64_2104` `pow2_binary64_2212`
1×	`+-commutative_binary64_2061` `distribute-lft-out--_binary64_2083` `distribute-lft-out_binary64_2082` `associate-+l+_binary64_2064`

Counts

4 → 113

Calls

4 calls:

29.0ms	(+.f64 (+.f64 (.f64 2 (.f64 (.f64 b b) (.f64 a a))) (+.f64 (pow.f64 b 4) (pow.f64 a 4))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))
11.0ms	(.f64 (.f64 a a) (-.f64 1 a))
10.0ms	(.f64 (.f64 b b) (*.f64 a a))
9.0ms	(.f64 (.f64 b b) (+.f64 3 a))

series296.0ms (7.1%)

Counts

4 → 12

Calls

4 calls:

134.0ms	(+.f64 (+.f64 (.f64 2 (.f64 (.f64 b b) (.f64 a a))) (+.f64 (pow.f64 b 4) (pow.f64 a 4))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))
73.0ms	(.f64 (.f64 a a) (-.f64 1 a))
45.0ms	(.f64 (.f64 b b) (+.f64 3 a))
44.0ms	(.f64 (.f64 b b) (*.f64 a a))

simplify103.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4942	4559
1	4942	4559

prune301.0ms (7.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	125	0	125
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	125	3	128

Merged error: 0b

Counts

128 → 3

Compiler

Compiled 6437 to 3763 computations (41.5% saved)

localize17.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 b (*.f64 b (+.f64 3 a))))))
0.0b	(.f64 (.f64 a a) (-.f64 1 a))
0.1b	(.f64 b (.f64 b (+.f64 3 a)))
0.3b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

rewrite43.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`add-exp-log_binary64_2169` `pow1_binary64_2192`
14×	`add-sqr-sqrt_binary64_2153` `add-cbrt-cube_binary64_2167`
13×	`*-un-lft-identity_binary64_2131`
10×	`add-cube-cbrt_binary64_2166`
9×	`distribute-rgt-in_binary64_2081` `distribute-lft-in_binary64_2080`
7×	`associate-r_binary64_2071`
6×	`pow-prod-down_binary64_2202` `associate-*r/_binary64_2073` `cancel-sign-sub-inv_binary64_2097` `cbrt-unprod_binary64_2164` `prod-exp_binary64_2180` `add-log-exp_binary64_2170`
4×	`associate-l_binary64_2072`
3×	`unpow-prod-down_binary64_2210` `pow-unpow_binary64_2208`
2×	`sub-neg_binary64_2124` `flip-+_binary64_2105` `flip3-+_binary64_2134` `difference-of-squares_binary64_2100` `associate-+r+_binary64_2063` `*-commutative_binary64_2062`
1×	`+-commutative_binary64_2061` `flip--_binary64_2106` `pow-to-exp_binary64_2200` `distribute-lft-out--_binary64_2083` `pow-exp_binary64_2199` `sum-log_binary64_2222` `flip3--_binary64_2135` `pow-pow_binary64_2203` `unpow2_binary64_2196` `unswap-sqr_binary64_2099` `sqr-pow_binary64_2103`

Counts

4 → 87

Calls

4 calls:

10.0ms	(.f64 (.f64 a a) (-.f64 1 a))
9.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 b (*.f64 b (+.f64 3 a))))))
8.0ms	(.f64 b (.f64 b (+.f64 3 a)))
5.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

series313.0ms (7.5%)

Counts

4 → 12

Calls

4 calls:

141.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 b (*.f64 b (+.f64 3 a))))))
65.0ms	(.f64 (.f64 a a) (-.f64 1 a))
55.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
52.0ms	(.f64 b (.f64 b (+.f64 3 a)))

simplify53.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	4995	1788
1	4995	1788

prune137.0ms (3.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	99	3	102

Merged error: 0b

Counts

102 → 3

Compiler

Compiled 3424 to 1828 computations (46.6% saved)

localize20.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.8b	(.f64 (.f64 b b) (+.f64 3 a))
22.8b	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))
22.8b	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))
22.8b	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))

rewrite38.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`cbrt-prod_binary64_2162`
13×	`*-un-lft-identity_binary64_2131`
12×	`add-sqr-sqrt_binary64_2153`
11×	`add-cube-cbrt_binary64_2166`
9×	`unpow-prod-down_binary64_2210` `add-exp-log_binary64_2169` `pow1_binary64_2192` `add-cbrt-cube_binary64_2167`
4×	`associate-r_binary64_2071` `add-log-exp_binary64_2170`
3×	`pow-prod-down_binary64_2202` `cbrt-unprod_binary64_2164` `pow1/3_binary64_2213` `prod-exp_binary64_2180` `unpow2_binary64_2196` `sqr-pow_binary64_2103`
2×	`associate-*r/_binary64_2073`
1×	`flip-+_binary64_2105` `flip3-+_binary64_2134` `distribute-lft-out_binary64_2082` `associate-l_binary64_2072` `distribute-rgt-in_binary64_2081` `unswap-sqr_binary64_2099` `*-commutative_binary64_2062` `distribute-lft-in_binary64_2080`

Counts

4 → 72

Calls

4 calls:

9.0ms	(.f64 (.f64 b b) (+.f64 3 a))
8.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))
5.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))
5.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))

series471.0ms (11.3%)

Counts

4 → 12

Calls

4 calls:

146.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))
141.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))
139.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))
44.0ms	(.f64 (.f64 b b) (+.f64 3 a))

simplify81.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4902	1428
1	4902	1428

prune163.0ms (3.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	84	3	87

Merged error: 0b

Counts

87 → 3

Compiler

Compiled 4776 to 2109 computations (55.8% saved)

regimes36.0ms (0.9%)

Compiler: Compiled 364 to 233 computations (36% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	53	55
1	53	55

end0.0ms (0%)

sample830.0ms (19.9%)

Algorithm

1×

intervals

Results

534.0ms	8000×	body	128	valid
1.0ms	9×	body	128	invalid

Compiler

Compiled 185 to 120 computations (35.1% saved)

Details

analyze329.0ms (7.9%)

sample24.0ms (0.6%)

simplify236.0ms (5.7%)

prune3.0ms (0.1%)

localize15.0ms (0.4%)

rewrite44.0ms (1%)

series300.0ms (7.2%)

simplify53.0ms (1.3%)

prune152.0ms (3.6%)

localize20.0ms (0.5%)

rewrite81.0ms (1.9%)

series296.0ms (7.1%)

simplify103.0ms (2.5%)

prune301.0ms (7.2%)

localize17.0ms (0.4%)

rewrite43.0ms (1%)

series313.0ms (7.5%)

simplify53.0ms (1.3%)

prune137.0ms (3.3%)

localize20.0ms (0.5%)

rewrite38.0ms (0.9%)

series471.0ms (11.3%)

simplify81.0ms (1.9%)

prune163.0ms (3.9%)

regimes36.0ms (0.9%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample830.0ms (19.9%)

Profiling