Details

analyze351.0ms (3.5%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4923	86
1	4923	86
0	2	2
1	2	2

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)

sample29.0ms (0.3%)

Algorithm

1×

intervals

Results

18.0ms

256×

body

128

valid

Compiler

Compiled 59 to 41 computations (30.5% saved)

simplify80.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4915	43
1	4915	43

prune4.0ms (0%)

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

0.2b

Counts

2 → 1

Compiler

Compiled 58 to 38 computations (34.5% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (+.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))))) 1)
0.1b	(.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))

rewrite290.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

20×	`add-sqr-sqrt_binary64_2146`
19×	`*-un-lft-identity_binary64_2124`
15×	`pow1_binary64_2185` `add-exp-log_binary64_2162`
14×	`add-cbrt-cube_binary64_2160`
11×	`add-cube-cbrt_binary64_2159`
10×	`associate-r_binary64_2064`
9×	`add-log-exp_binary64_2163` `cancel-sign-sub-inv_binary64_2090`
6×	`pow-prod-down_binary64_2195` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157`
5×	`distribute-rgt-in_binary64_2074` `distribute-lft-in_binary64_2073`
4×	`associate-*r/_binary64_2066` `difference-of-squares_binary64_2093`
3×	`unpow-prod-down_binary64_2203` `pow-unpow_binary64_2201` `sub-neg_binary64_2117`
2×	`unswap-sqr_binary64_2092` `associate-l_binary64_2065` `*-commutative_binary64_2055` `flip3--_binary64_2128` `flip--_binary64_2099` `distribute-lft-out--_binary64_2076` `diff-log_binary64_2216`
1×	`flip3-+_binary64_2127` `flip-+_binary64_2098` `distribute-lft-out_binary64_2075` `pow-pow_binary64_2196` `pow-to-exp_binary64_2193` `pow-exp_binary64_2192` `unpow2_binary64_2189` `sqr-pow_binary64_2096` `sum-log_binary64_2215` `difference-of-sqr-1_binary64_2094` `associate--l+_binary64_2061`

Counts

4 → 94

Calls

4 calls:

11.0ms	(-.f64 (+.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))))) 1)
10.0ms	(.f64 (.f64 a a) (-.f64 1 a))
9.0ms	(.f64 (.f64 b b) (+.f64 3 a))
5.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

Compiler

Compiled 3387 to 1718 computations (49.3% saved)

series1.2s (11.7%)

Error

0.0b

Counts

4 → 50

Calls

4 calls:

639.0ms	(-.f64 (+.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))))) 1)
291.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
108.0ms	(.f64 (.f64 b b) (+.f64 3 a))
80.0ms	(.f64 (.f64 a a) (-.f64 1 a))

Compiler

Compiled 2653 to 2028 computations (23.6% saved)

simplify55.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	4999	2846
1	4999	2846

prune191.0ms (1.9%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	141	3	144
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	142	3	145

Error

0.0b

Counts

145 → 3

Compiler

Compiled 2885 to 1512 computations (47.6% saved)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (.f64 a a) (-.f64 1 a))
0.5b	(.f64 a (.f64 a (*.f64 b b)))
0.8b	(.f64 a (.f64 b b))
0.8b	(.f64 (.f64 b b) (+.f64 3 a))

rewrite272.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

28×	`pow1_binary64_2185` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
16×	`add-sqr-sqrt_binary64_2146`
15×	`pow-prod-down_binary64_2195` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157` `*-un-lft-identity_binary64_2124`
12×	`associate-r_binary64_2064`
10×	`add-cube-cbrt_binary64_2159`
8×	`associate-l_binary64_2065`
6×	`cancel-sign-sub-inv_binary64_2090`
5×	`distribute-rgt-in_binary64_2074` `distribute-lft-in_binary64_2073`
4×	`add-log-exp_binary64_2163` `associate-r/_binary64_2066` `-commutative_binary64_2055`
3×	`unswap-sqr_binary64_2092`
2×	`sub-neg_binary64_2117` `difference-of-squares_binary64_2093`
1×	`flip3-+_binary64_2127` `flip-+_binary64_2098` `distribute-lft-out_binary64_2075` `flip3--_binary64_2128` `flip--_binary64_2099` `distribute-lft-out--_binary64_2076`

Counts

4 → 96

Calls

4 calls:

10.0ms	(.f64 (.f64 a a) (-.f64 1 a))
9.0ms	(.f64 (.f64 b b) (+.f64 3 a))
8.0ms	(.f64 a (.f64 a (*.f64 b b)))
6.0ms	(.f64 a (.f64 b b))

Compiler

Compiled 3667 to 1977 computations (46.1% saved)

series430.0ms (4.3%)

Error

0.0b

Counts

4 → 26

Calls

4 calls:

116.0ms	(.f64 a (.f64 a (*.f64 b b)))
113.0ms	(.f64 (.f64 b b) (+.f64 3 a))
102.0ms	(.f64 a (.f64 b b))
75.0ms	(.f64 (.f64 a a) (-.f64 1 a))

Compiler

Compiled 2072 to 1529 computations (26.2% saved)

simplify83.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4929	1219
1	4929	1219

prune178.0ms (1.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	122	3	125

Error

0.0b

Counts

125 → 3

Compiler

Compiled 2670 to 1514 computations (43.3% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite205.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

16×	`*-un-lft-identity_binary64_2124`
11×	`pow1_binary64_2185` `add-sqr-sqrt_binary64_2146`
10×	`add-exp-log_binary64_2162` `add-log-exp_binary64_2163` `add-cube-cbrt_binary64_2159`
9×	`add-cbrt-cube_binary64_2160`
8×	`exp-prod_binary64_2176`
5×	`log-pow_binary64_2213`
4×	`associate-l_binary64_2065` `log-prod_binary64_2210`
3×	`pow-prod-down_binary64_2195` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157` `distribute-lft-out_binary64_2075` `unpow-prod-down_binary64_2203` `pow-unpow_binary64_2201` `sum-log_binary64_2215` `rem-exp-log_binary64_2164`
2×	`associate-*l/_binary64_2067` `exp-sum_binary64_2170`
1×	`unswap-sqr_binary64_2092` `flip3-+_binary64_2127` `flip-+_binary64_2098` `associate-r_binary64_2064` `*-commutative_binary64_2055` `pow-pow_binary64_2196` `pow-to-exp_binary64_2193` `pow-exp_binary64_2192` `unpow2_binary64_2189` `sqr-pow_binary64_2096` `rem-log-exp_binary64_2165`

Counts

4 → 72

Calls

4 calls:

11.0ms	(log.f64 (exp.f64 (+.f64 -1 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2) (.f64 4 (+.f64 (.f64 (+.f64 a 3) (.f64 b b)) (-.f64 (.f64 a a) (pow.f64 a 3))))))))
11.0ms	(exp.f64 (+.f64 -1 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2) (.f64 4 (+.f64 (.f64 (+.f64 a 3) (.f64 b b)) (-.f64 (.f64 a a) (pow.f64 a 3)))))))
8.0ms	(.f64 (+.f64 a 3) (.f64 b b))
5.0ms	(pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2)

Compiler

Compiled 2843 to 1515 computations (46.7% saved)

series2.2s (21.5%)

Error

0.0b

Counts

4 → 31

Calls

4 calls:

1.6s	(log.f64 (exp.f64 (+.f64 -1 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2) (.f64 4 (+.f64 (.f64 (+.f64 a 3) (.f64 b b)) (-.f64 (.f64 a a) (pow.f64 a 3))))))))
333.0ms	(exp.f64 (+.f64 -1 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2) (.f64 4 (+.f64 (.f64 (+.f64 a 3) (.f64 b b)) (-.f64 (.f64 a a) (pow.f64 a 3)))))))
100.0ms	(.f64 (+.f64 a 3) (.f64 b b))
58.0ms	(pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2)

Compiler

Compiled 3709 to 3025 computations (18.4% saved)

simplify71.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4958	3253
1	4958	3253

prune192.0ms (1.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	103	3	106

Error

0.0b

Counts

106 → 3

Compiler

Compiled 3065 to 1763 computations (42.5% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 a (+.f64 4 (.f64 2 a))) (+.f64 (*.f64 b b) 12))
0.0b	(.f64 a (+.f64 4 (.f64 2 a)))
1.4b	(.f64 (.f64 b b) (+.f64 (.f64 a (+.f64 4 (.f64 2 a))) (+.f64 (*.f64 b b) 12)))

rewrite146.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

16×	`associate-*r/_binary64_2066`
11×	`flip3-+_binary64_2127` `flip-+_binary64_2098`
10×	`pow1_binary64_2185` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
9×	`add-sqr-sqrt_binary64_2146`
8×	`add-log-exp_binary64_2163` `frac-add_binary64_2132`
6×	`add-cube-cbrt_binary64_2159` `-un-lft-identity_binary64_2124` `associate-r*_binary64_2064`
4×	`pow-prod-down_binary64_2195` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157` `associate-l_binary64_2065`
3×	`distribute-rgt-in_binary64_2074` `distribute-lft-in_binary64_2073` `sum-log_binary64_2215`
2×	`unswap-sqr_binary64_2092` `*-commutative_binary64_2055` `associate-+l+_binary64_2057`
1×	`associate-+r+_binary64_2056` `+-commutative_binary64_2054`

Counts

3 → 68

Calls

3 calls:

15.0ms	(.f64 (.f64 b b) (+.f64 (.f64 a (+.f64 4 (.f64 2 a))) (+.f64 (*.f64 b b) 12)))
10.0ms	(+.f64 (.f64 a (+.f64 4 (.f64 2 a))) (+.f64 (*.f64 b b) 12))
6.0ms	(.f64 a (+.f64 4 (.f64 2 a)))

Compiler

Compiled 2213 to 1341 computations (39.4% saved)

series657.0ms (6.6%)

Error

0.0b

Counts

3 → 32

Calls

3 calls:

385.0ms	(.f64 (.f64 b b) (+.f64 (.f64 a (+.f64 4 (.f64 2 a))) (+.f64 (*.f64 b b) 12)))
219.0ms	(+.f64 (.f64 a (+.f64 4 (.f64 2 a))) (+.f64 (*.f64 b b) 12))
34.0ms	(.f64 a (+.f64 4 (.f64 2 a)))

Compiler

Compiled 1043 to 846 computations (18.9% saved)

simplify67.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4941	2289
1	4941	2289

prune108.0ms (1.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	100	0	100
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	100	3	103

Error

0.0b

Counts

103 → 3

Compiler

Compiled 1915 to 1171 computations (38.9% saved)

regimes1.7s (17.2%)

Accuracy

Total 0.0b remaining (61.2%)

Threshold costs 0.0b (61.2%)

Compiler

Compiled 16243 to 11603 computations (28.6% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	45	52
1	45	52

end2.0ms (0%)

Compiler: Compiled 35 to 25 computations (28.6% saved)

sample1.5s (14.7%)

Algorithm

1×

intervals

Results

830.0ms	8000×	body	128	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 153 to 115 computations (24.8% saved)

Details

analyze351.0ms (3.5%)

sample29.0ms (0.3%)

simplify80.0ms (0.8%)

prune4.0ms (0%)

localize16.0ms (0.2%)

rewrite290.0ms (2.9%)

series1.2s (11.7%)

simplify55.0ms (0.5%)

prune191.0ms (1.9%)

localize22.0ms (0.2%)

rewrite272.0ms (2.7%)

series430.0ms (4.3%)

simplify83.0ms (0.8%)

prune178.0ms (1.8%)

localize21.0ms (0.2%)

rewrite205.0ms (2%)

series2.2s (21.5%)

simplify71.0ms (0.7%)

prune192.0ms (1.9%)

localize9.0ms (0.1%)

rewrite146.0ms (1.5%)

series657.0ms (6.6%)

simplify67.0ms (0.7%)

prune108.0ms (1.1%)

regimes1.7s (17.2%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end2.0ms (0%)

sample1.5s (14.7%)

Profiling