Details

analyze245.0ms (3.1%)

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)

sample48.0ms (0.6%)

Algorithm

1×

intervals

Results

34.0ms

256×

body

128

valid

Compiler

Compiled 59 to 41 computations (30.5% saved)

simplify418.0ms (5.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (123.0ms)

Iter	Nodes	Cost
0	5070	43

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

Merged error: 0.2b

Counts

2 → 1

Compiler

Compiled 58 to 38 computations (34.5% saved)

localize34.0ms (0.4%)

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)
0.7b	(.f64 (.f64 b b) (+.f64 3 a))

rewrite93.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

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×	`cancel-sign-sub-inv_binary64_2090` `add-log-exp_binary64_2163`
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×	`difference-of-squares_binary64_2093` `associate-*r/_binary64_2066`
3×	`pow-unpow_binary64_2201` `unpow-prod-down_binary64_2203` `sub-neg_binary64_2117`
2×	`flip--_binary64_2099` `flip3--_binary64_2128` `unswap-sqr_binary64_2092` `distribute-lft-out--_binary64_2076` `-commutative_binary64_2055` `diff-log_binary64_2216` `associate-l*_binary64_2065`
1×	`pow-pow_binary64_2196` `sum-log_binary64_2215` `pow-exp_binary64_2192` `distribute-lft-out_binary64_2075` `sqr-pow_binary64_2096` `unpow2_binary64_2189` `associate--l+_binary64_2061` `pow-to-exp_binary64_2193` `flip3-+_binary64_2127` `difference-of-sqr-1_binary64_2094` `flip-+_binary64_2098`

Counts

4 → 94

Calls

4 calls:

23.0ms	(-.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)
20.0ms	(.f64 (.f64 a a) (-.f64 1 a))
18.0ms	(.f64 (.f64 b b) (+.f64 3 a))
10.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

series587.0ms (7.4%)

Counts

4 → 12

Calls

4 calls:

255.0ms	(-.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)
147.0ms	(.f64 (.f64 a a) (-.f64 1 a))
100.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
85.0ms	(.f64 (.f64 b b) (+.f64 3 a))

simplify123.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4929	2189
1	4929	2189

prune287.0ms (3.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	103	3	106
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	104	3	107

Merged error: 0.0b

Counts

107 → 3

Compiler

Compiled 3822 to 1952 computations (48.9% saved)

localize46.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 2 (.f64 (.f64 b b) (.f64 a a)))
0.1b	(.f64 (.f64 a a) (-.f64 1 a))
0.7b	(.f64 (.f64 b b) (+.f64 3 a))
2.9b	(.f64 (.f64 b b) (*.f64 a a))

rewrite114.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

60×	`pow1_binary64_2185`
44×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
33×	`pow-prod-down_binary64_2195`
27×	`prod-exp_binary64_2173` `cbrt-unprod_binary64_2157`
14×	`add-sqr-sqrt_binary64_2146` `*-un-lft-identity_binary64_2124`
12×	`associate-r_binary64_2064`
9×	`add-cube-cbrt_binary64_2159`
6×	`cancel-sign-sub-inv_binary64_2090` `associate-l_binary64_2065`
5×	`distribute-rgt-in_binary64_2074` `distribute-lft-in_binary64_2073`
4×	`pow-prod-up_binary64_2194` `-commutative_binary64_2055` `add-log-exp_binary64_2163` `pow-plus_binary64_2187` `associate-r/_binary64_2066`
3×	`unswap-sqr_binary64_2092`
2×	`difference-of-squares_binary64_2093` `sub-neg_binary64_2117` `pow2_binary64_2205` `pow-sqr_binary64_2097`
1×	`flip--_binary64_2099` `flip3--_binary64_2128` `distribute-lft-out--_binary64_2076` `distribute-lft-out_binary64_2075` `flip3-+_binary64_2127` `flip-+_binary64_2098`

Counts

4 → 112

Calls

4 calls:

27.0ms	(.f64 2 (.f64 (.f64 b b) (.f64 a a)))
20.0ms	(.f64 (.f64 a a) (-.f64 1 a))
19.0ms	(.f64 (.f64 b b) (*.f64 a a))
18.0ms	(.f64 (.f64 b b) (+.f64 3 a))

series409.0ms (5.2%)

Counts

4 → 12

Calls

4 calls:

128.0ms	(.f64 (.f64 a a) (-.f64 1 a))
98.0ms	(.f64 2 (.f64 (.f64 b b) (.f64 a a)))
93.0ms	(.f64 (.f64 b b) (*.f64 a a))
90.0ms	(.f64 (.f64 b b) (+.f64 3 a))

simplify134.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (94.0ms)

Iter	Nodes	Cost
0	4957	1350
1	4957	1350

prune409.0ms (5.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	124	0	124
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	124	3	127

Merged error: 0.0b

Counts

127 → 3

Compiler

Compiled 4987 to 2872 computations (42.4% saved)

localize33.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (*.f64 a a) (pow.f64 a 3))
0.0b	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (+.f64 -1 (.f64 4 (+.f64 (.f64 (.f64 b b) (+.f64 3 a)) (-.f64 (.f64 a a) (pow.f64 a 3))))))
0.3b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
0.7b	(.f64 (.f64 b b) (+.f64 3 a))

rewrite85.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64_2146` `*-un-lft-identity_binary64_2124`
12×	`cancel-sign-sub-inv_binary64_2090`
11×	`add-log-exp_binary64_2163`
10×	`pow1_binary64_2185` `add-cube-cbrt_binary64_2159` `add-exp-log_binary64_2162`
9×	`add-cbrt-cube_binary64_2160`
7×	`unpow-prod-down_binary64_2203`
4×	`difference-of-squares_binary64_2093` `cube-prod_binary64_2152` `associate-r_binary64_2064`
3×	`pow-prod-down_binary64_2195` `pow-unpow_binary64_2201` `sum-log_binary64_2215` `prod-exp_binary64_2173` `sqr-pow_binary64_2096` `cbrt-unprod_binary64_2157`
2×	`unpow3_binary64_2190` `cube-mult_binary64_2154` `distribute-lft-out_binary64_2075` `associate-*r/_binary64_2066` `flip3-+_binary64_2127` `flip-+_binary64_2098`
1×	`flip--_binary64_2099` `flip3--_binary64_2128` `unswap-sqr_binary64_2092` `pow-pow_binary64_2196` `distribute-lft-out--_binary64_2076` `pow-exp_binary64_2192` `-commutative_binary64_2055` `diff-log_binary64_2216` `associate-+r+_binary64_2056` `associate-l*_binary64_2065` `+-commutative_binary64_2054` `unpow2_binary64_2189` `distribute-rgt-out--_binary64_2078` `distribute-rgt-in_binary64_2074` `sub-neg_binary64_2117` `pow-to-exp_binary64_2193` `distribute-lft-in_binary64_2073`

Counts

4 → 85

Calls

4 calls:

23.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (+.f64 -1 (.f64 4 (+.f64 (.f64 (.f64 b b) (+.f64 3 a)) (-.f64 (.f64 a a) (pow.f64 a 3))))))
18.0ms	(.f64 (.f64 b b) (+.f64 3 a))
15.0ms	(-.f64 (*.f64 a a) (pow.f64 a 3))
10.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

series637.0ms (8.1%)

Counts

4 → 12

Calls

4 calls:

264.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (+.f64 -1 (.f64 4 (+.f64 (.f64 (.f64 b b) (+.f64 3 a)) (-.f64 (.f64 a a) (pow.f64 a 3))))))
177.0ms	(-.f64 (*.f64 a a) (pow.f64 a 3))
98.0ms	(.f64 (.f64 b b) (+.f64 3 a))
98.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

simplify150.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (110.0ms)

Iter	Nodes	Cost
0	4960	1840
1	4960	1840

prune239.0ms (3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	96	1	97
Fresh	1	0	1
Picked	1	0	1
Done	0	1	1
Total	98	2	100

Merged error: 0.0b

Counts

100 → 2

Compiler

Compiled 3369 to 1713 computations (49.2% saved)

localize42.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.3b	(pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2)
0.3b	(pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2)
0.7b	(.f64 (.f64 b b) (+.f64 3 a))
0.7b	(.f64 (.f64 b b) (+.f64 3 a))

rewrite85.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`pow1_binary64_2185` `add-exp-log_binary64_2162`
14×	`*-un-lft-identity_binary64_2124` `add-cbrt-cube_binary64_2160`
12×	`add-sqr-sqrt_binary64_2146`
10×	`add-cube-cbrt_binary64_2159`
8×	`associate-r_binary64_2064`
6×	`pow-prod-down_binary64_2195` `pow-unpow_binary64_2201` `unpow-prod-down_binary64_2203` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157`
4×	`add-log-exp_binary64_2163` `associate-*r/_binary64_2066`
2×	`unswap-sqr_binary64_2092` `pow-pow_binary64_2196` `pow-exp_binary64_2192` `-commutative_binary64_2055` `distribute-lft-out_binary64_2075` `associate-l*_binary64_2065` `sqr-pow_binary64_2096` `unpow2_binary64_2189` `distribute-rgt-in_binary64_2074` `pow-to-exp_binary64_2193` `flip3-+_binary64_2127` `flip-+_binary64_2098` `distribute-lft-in_binary64_2073`

Counts

4 → 84

Calls

4 calls:

18.0ms	(.f64 (.f64 b b) (+.f64 3 a))
18.0ms	(.f64 (.f64 b b) (+.f64 3 a))
11.0ms	(pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2)
10.0ms	(pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2)

series358.0ms (4.5%)

Counts

4 → 12

Calls

4 calls:

101.0ms	(pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2)
89.0ms	(.f64 (.f64 b b) (+.f64 3 a))
88.0ms	(pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2)
79.0ms	(.f64 (.f64 b b) (+.f64 3 a))

simplify122.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (89.0ms)

Iter	Nodes	Cost
0	5134	1300

prune423.0ms (5.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	96	2	98

Merged error: 0.0b

Counts

98 → 2

Compiler

Compiled 6266 to 3220 computations (48.6% saved)

regimes487.0ms (6.2%)

Compiler: Compiled 4194 to 2658 computations (36.6% saved)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	54	52
1	54	52

end0.0ms (0%)

sample2.3s (28.7%)

Algorithm

1×

intervals

Results

966.0ms	8000×	body	128	valid
1.0ms	11×	body	128	invalid

Compiler

Compiled 764 to 492 computations (35.6% saved)

Details

analyze245.0ms (3.1%)

sample48.0ms (0.6%)

simplify418.0ms (5.3%)

prune6.0ms (0.1%)

localize34.0ms (0.4%)

rewrite93.0ms (1.2%)

series587.0ms (7.4%)

simplify123.0ms (1.6%)

prune287.0ms (3.6%)

localize46.0ms (0.6%)

rewrite114.0ms (1.4%)

series409.0ms (5.2%)

simplify134.0ms (1.7%)

prune409.0ms (5.2%)

localize33.0ms (0.4%)

rewrite85.0ms (1.1%)

series637.0ms (8.1%)

simplify150.0ms (1.9%)

prune239.0ms (3%)

localize42.0ms (0.5%)

rewrite85.0ms (1.1%)

series358.0ms (4.5%)

simplify122.0ms (1.5%)

prune423.0ms (5.4%)

regimes487.0ms (6.2%)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample2.3s (28.7%)

Profiling