Details

analyze120.0ms (2%)

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 (0.4%)

Algorithm

1×

intervals

Results

16.0ms

256×

body

128

valid

Compiler

Compiled 59 to 41 computations (30.5% saved)

simplify169.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4915	43
1	4915	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

Error

0.2b

Counts

2 → 1

Compiler

Compiled 58 to 38 computations (34.5% saved)

localize18.0ms (0.3%)

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)))))
0.1b	(.f64 (.f64 a a) (-.f64 1 a))
0.3b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
1.7b	(.f64 (.f64 b b) (+.f64 3 a))

rewrite41.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

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

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

series705.0ms (11.5%)

Counts

4 → 50

Calls

4 calls:

372.0ms	(+.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)))))
206.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
74.0ms	(.f64 (.f64 b b) (+.f64 3 a))
53.0ms	(.f64 (.f64 a a) (-.f64 1 a))

Compiler

Compiled 2035 to 1611 computations (20.8% saved)

simplify73.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5020	2413

prune205.0ms (3.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	134	3	137
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	135	3	138

Error

0.0b

Counts

138 → 3

Compiler

Compiled 4440 to 2325 computations (47.6% saved)

localize22.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (+.f64 (pow.f64 a 4) (+.f64 (pow.f64 b 4) (.f64 2 (.f64 (.f64 b b) (.f64 a a))))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))
0.1b	(.f64 (.f64 a a) (-.f64 1 a))
1.7b	(.f64 (.f64 b b) (+.f64 3 a))
3.4b	(.f64 (.f64 b b) (*.f64 a a))

rewrite62.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

42×	`pow1_binary64_2185`
32×	`associate-*r/_binary64_2066`
26×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
20×	`pow-prod-down_binary64_2195` `frac-add_binary64_2132`
14×	`prod-exp_binary64_2173` `flip3-+_binary64_2127` `flip-+_binary64_2098` `cbrt-unprod_binary64_2157`
13×	`add-log-exp_binary64_2163` `add-sqr-sqrt_binary64_2146` `*-un-lft-identity_binary64_2124`
11×	`associate-r_binary64_2064`
8×	`add-cube-cbrt_binary64_2159`
6×	`cancel-sign-sub-inv_binary64_2090` `sum-log_binary64_2215` `distribute-rgt-in_binary64_2074` `distribute-lft-in_binary64_2073`
5×	`flip--_binary64_2099` `flip3--_binary64_2128`
4×	`pow-prod-up_binary64_2194` `pow-plus_binary64_2187`
3×	`unswap-sqr_binary64_2092` `-commutative_binary64_2055` `associate-l*_binary64_2065`
2×	`difference-of-squares_binary64_2093` `associate-+r+_binary64_2056` `sub-neg_binary64_2117` `pow2_binary64_2205` `pow-sqr_binary64_2097`
1×	`distribute-lft-out--_binary64_2076` `distribute-lft-out_binary64_2075` `+-commutative_binary64_2054` `associate-+l+_binary64_2057`

Counts

4 → 113

Calls

4 calls:

16.0ms	(+.f64 (+.f64 (pow.f64 a 4) (+.f64 (pow.f64 b 4) (.f64 2 (.f64 (.f64 b b) (.f64 a a))))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))
9.0ms	(.f64 (.f64 a a) (-.f64 1 a))
9.0ms	(.f64 (.f64 b b) (*.f64 a a))
8.0ms	(.f64 (.f64 b b) (+.f64 3 a))

series609.0ms (9.9%)

Counts

4 → 39

Calls

4 calls:

370.0ms	(+.f64 (+.f64 (pow.f64 a 4) (+.f64 (pow.f64 b 4) (.f64 2 (.f64 (.f64 b b) (.f64 a a))))) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))
92.0ms	(.f64 (.f64 b b) (+.f64 3 a))
90.0ms	(.f64 (.f64 b b) (*.f64 a a))
56.0ms	(.f64 (.f64 a a) (-.f64 1 a))

Compiler

Compiled 1924 to 1515 computations (21.3% saved)

simplify88.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4970	5189
1	4970	5189

prune345.0ms (5.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	149	3	152
Fresh	1	1	2
Picked	0	1	1
Done	0	0	0
Total	150	5	155

Error

0.0b

Counts

155 → 5

Compiler

Compiled 7498 to 4262 computations (43.2% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite41.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`add-sqr-sqrt_binary64_2146`
19×	`*-un-lft-identity_binary64_2124`
15×	`cancel-sign-sub-inv_binary64_2090`
14×	`add-cube-cbrt_binary64_2159` `add-exp-log_binary64_2162`
13×	`associate-l_binary64_2065`
11×	`add-log-exp_binary64_2163` `add-cbrt-cube_binary64_2160`
9×	`pow1_binary64_2185`
8×	`associate-+r+_binary64_2056` `distribute-rgt-in_binary64_2074` `associate-r_binary64_2064` `distribute-lft-in_binary64_2073`
6×	`prod-exp_binary64_2173`
5×	`unswap-sqr_binary64_2092` `sub-neg_binary64_2117`
4×	`unpow-prod-down_binary64_2203` `cube-prod_binary64_2152` `cbrt-unprod_binary64_2157`
3×	`difference-of-squares_binary64_2093` `pow-prod-down_binary64_2195`
2×	`flip--_binary64_2099` `flip3--_binary64_2128` `sum-log_binary64_2215` `distribute-lft-out--_binary64_2076` `-commutative_binary64_2055` `diff-log_binary64_2216` `sqr-pow_binary64_2096` `associate-r/_binary64_2066`
1×	`unpow3_binary64_2190` `cube-mult_binary64_2154` `pow-exp_binary64_2192` `+-commutative_binary64_2054` `associate--l+_binary64_2061` `pow-to-exp_binary64_2193` `flip3-+_binary64_2127` `difference-of-sqr-1_binary64_2094` `flip-+_binary64_2098`

Counts

4 → 101

Calls

4 calls:

10.0ms	(*.f64 (pow.f64 a 3) (-.f64 a 4))
9.0ms	(-.f64 (+.f64 (.f64 (.f64 a a) 4) (*.f64 (pow.f64 a 3) (-.f64 a 4))) 1)
8.0ms	(+.f64 (.f64 (.f64 a a) 4) (*.f64 (pow.f64 a 3) (-.f64 a 4)))
6.0ms	(.f64 (.f64 a a) 4)

series242.0ms (3.9%)

Counts

4 → 30

Calls

4 calls:

112.0ms	(+.f64 (.f64 (.f64 a a) 4) (*.f64 (pow.f64 a 3) (-.f64 a 4)))
56.0ms	(*.f64 (pow.f64 a 3) (-.f64 a 4))
48.0ms	(-.f64 (+.f64 (.f64 (.f64 a a) 4) (*.f64 (pow.f64 a 3) (-.f64 a 4))) 1)
26.0ms	(.f64 (.f64 a a) 4)

Compiler

Compiled 507 to 483 computations (4.7% saved)

simplify94.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4953	1856
1	4953	1856

prune144.0ms (2.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	129	2	131
Fresh	2	1	3
Picked	1	0	1
Done	0	1	1
Total	132	4	136

Error

0.0b

Counts

136 → 4

Compiler

Compiled 2504 to 1707 computations (31.8% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (.f64 (.f64 a a) (+.f64 (*.f64 a (-.f64 a 4)) 4)) 1)
0.0b	(*.f64 a (-.f64 a 4))
0.1b	(.f64 (.f64 a a) (+.f64 (*.f64 a (-.f64 a 4)) 4))

rewrite35.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

3 → 69

Calls

3 calls:

12.0ms	(-.f64 (.f64 (.f64 a a) (+.f64 (*.f64 a (-.f64 a 4)) 4)) 1)
12.0ms	(.f64 (.f64 a a) (+.f64 (*.f64 a (-.f64 a 4)) 4))
7.0ms	(*.f64 a (-.f64 a 4))

series176.0ms (2.9%)

Counts

3 → 27

Calls

3 calls:

94.0ms	(.f64 (.f64 a a) (+.f64 (*.f64 a (-.f64 a 4)) 4))
45.0ms	(-.f64 (.f64 (.f64 a a) (+.f64 (*.f64 a (-.f64 a 4)) 4)) 1)
36.0ms	(*.f64 a (-.f64 a 4))

Compiler

Compiled 403 to 385 computations (4.5% saved)

simplify73.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4960	1295
1	4960	1295

prune76.0ms (1.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	96	4	100

Error

0.0b

Counts

100 → 4

Compiler

Compiled 1545 to 997 computations (35.5% saved)

regimes690.0ms (11.3%)

Accuracy

Total 0.0b remaining (86.5%)

Threshold costs 0.0b (86.5%)

Compiler

Compiled 11591 to 7719 computations (33.4% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	55	55
1	55	55

end0.0ms (0%)

sample2.1s (33.5%)

Algorithm

1×

intervals

Results

482.0ms	8000×	body	128	valid
0.0ms	6×	body	128	invalid

Compiler

Compiled 2101 to 1392 computations (33.7% saved)

Details

analyze120.0ms (2%)

sample24.0ms (0.4%)

simplify169.0ms (2.8%)

prune3.0ms (0.1%)

localize18.0ms (0.3%)

rewrite41.0ms (0.7%)

series705.0ms (11.5%)

simplify73.0ms (1.2%)

prune205.0ms (3.3%)

localize22.0ms (0.4%)

rewrite62.0ms (1%)

series609.0ms (9.9%)

simplify88.0ms (1.4%)

prune345.0ms (5.6%)

localize11.0ms (0.2%)

rewrite41.0ms (0.7%)

series242.0ms (3.9%)

simplify94.0ms (1.5%)

prune144.0ms (2.3%)

localize7.0ms (0.1%)

rewrite35.0ms (0.6%)

series176.0ms (2.9%)

simplify73.0ms (1.2%)

prune76.0ms (1.2%)

regimes690.0ms (11.3%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample2.1s (33.5%)

Profiling