Details

analyze794.0ms (8.8%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
28.1%	68.6%	3.3%	10
29.6%	65.5%	4.9%	11
32%	61.7%	6.3%	12
35.5%	56.9%	7.6%	13
48%	38.7%	13.4%	14

Compiler

Compiled 16 to 12 computations (25% saved)

sample26.0ms (0.3%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
2.0ms	59×	body	128	invalid

Compiler

Compiled 31 to 27 computations (12.9% saved)

simplify213.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (98.0ms)

Iter	Nodes	Cost
0	1064	13
1	1064	13

prune3.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Error

0.0b

Counts

2 → 2

Compiler

Compiled 33 to 27 computations (18.2% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 d1 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)))

rewrite36.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

12×	`*-un-lft-identity_binary64_4170`
6×	`associate-r_binary64_4110`
5×	`add-sqr-sqrt_binary64_4192`
3×	`pow1_binary64_4231` `add-exp-log_binary64_4208` `add-cbrt-cube_binary64_4206` `add-cube-cbrt_binary64_4205` `associate-l_binary64_4111` `distribute-lft-out_binary64_4121` `distribute-lft-out--_binary64_4122`
2×	`associate-*r/_binary64_4112`
1×	`pow-prod-down_binary64_4241` `prod-exp_binary64_4219` `add-log-exp_binary64_4209` `cbrt-unprod_binary64_4203` `unswap-sqr_binary64_4138` `distribute-rgt-in_binary64_4120` `distribute-lft-in_binary64_4119` `flip3-+_binary64_4173` `flip-+_binary64_4144` `*-commutative_binary64_4101`

Counts

1 → 25

Calls

1 calls:

12.0ms

(*.f64 d1 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)))

Compiler

Compiled 427 to 89 computations (79.2% saved)

series225.0ms (2.5%)

Error

0.0b

Counts

1 → 24

Calls

1 calls:

201.0ms

(*.f64 d1 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)))

Compiler

Compiled 660 to 445 computations (32.6% saved)

simplify93.0ms (1%)

Algorithm

1×	egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	4967	600
1	4967	600

prune48.0ms (0.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	45	4	49
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	46	5	51

Error

0.0b

Counts

51 → 5

Compiler

Compiled 609 to 131 computations (78.5% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 d1 (-.f64 d2 (+.f64 d1 d3)))
0.0b	(+.f64 (.f64 d1 d4) (.f64 d1 (-.f64 d2 (+.f64 d1 d3))))

rewrite70.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

21×	`*-un-lft-identity_binary64_4170`
16×	`cancel-sign-sub-inv_binary64_4136`
12×	`add-sqr-sqrt_binary64_4192`
10×	`distribute-rgt-in_binary64_4120` `associate-+r+_binary64_4102` `distribute-lft-in_binary64_4119`
8×	`add-cube-cbrt_binary64_4205`
6×	`distribute-lft-out_binary64_4121` `associate-r_binary64_4110`
4×	`add-log-exp_binary64_4209` `pow1_binary64_4231` `add-exp-log_binary64_4208` `add-cbrt-cube_binary64_4206` `sub-neg_binary64_4163`
3×	`associate-l_binary64_4111`
2×	`associate-*r/_binary64_4112` `distribute-lft-out--_binary64_4122`
1×	`sum-log_binary64_4261` `flip3-+_binary64_4173` `flip-+_binary64_4144` `+-commutative_binary64_4100` `pow-prod-down_binary64_4241` `prod-exp_binary64_4219` `cbrt-unprod_binary64_4203` `unswap-sqr_binary64_4138` `flip3--_binary64_4174` `flip--_binary64_4145` `difference-of-squares_binary64_4139` `*-commutative_binary64_4101`

Counts

2 → 55

Calls

2 calls:

9.0ms	(*.f64 d1 (-.f64 d2 (+.f64 d1 d3)))
7.0ms	(+.f64 (.f64 d1 d4) (.f64 d1 (-.f64 d2 (+.f64 d1 d3))))

Compiler

Compiled 1062 to 224 computations (78.9% saved)

series505.0ms (5.6%)

Error

0.0b

Counts

2 → 42

Calls

2 calls:

319.0ms	(+.f64 (.f64 d1 d4) (.f64 d1 (-.f64 d2 (+.f64 d1 d3))))
159.0ms	(*.f64 d1 (-.f64 d2 (+.f64 d1 d3)))

Compiler

Compiled 1247 to 824 computations (33.9% saved)

simplify84.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4927	1108
1	4927	1108

prune69.0ms (0.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	97	5	102

Error

0.0b

Counts

102 → 5

Compiler

Compiled 1294 to 241 computations (81.4% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (+.f64 d2 (-.f64 d4 (+.f64 d1 d3))))
0.0b	(sqrt.f64 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)))
0.1b	(*.f64 d1 (sqrt.f64 (+.f64 d2 (-.f64 d4 (+.f64 d1 d3)))))
0.2b	(.f64 (.f64 d1 (sqrt.f64 (+.f64 d2 (-.f64 d4 (+.f64 d1 d3))))) (sqrt.f64 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1))))

rewrite209.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

47×	`*-un-lft-identity_binary64_4170`
25×	`sqrt-prod_binary64_4186`
18×	`sqrt-div_binary64_4187` `associate-r_binary64_4110`
17×	`add-sqr-sqrt_binary64_4192`
14×	`distribute-lft-out_binary64_4121`
13×	`pow1_binary64_4231`
11×	`add-exp-log_binary64_4208` `add-cbrt-cube_binary64_4206` `add-cube-cbrt_binary64_4205`
10×	`associate-*r/_binary64_4112` `distribute-lft-out--_binary64_4122`
9×	`flip3-+_binary64_4173` `flip-+_binary64_4144`
4×	`pow-prod-down_binary64_4241` `prod-exp_binary64_4219` `add-log-exp_binary64_4209` `cbrt-unprod_binary64_4203` `frac-times_binary64_4180` `associate-l_binary64_4111`
2×	`associate-l/_binary64_4113` `-commutative_binary64_4101` `unswap-sqr_binary64_4138` `pow1/2_binary64_4250` `sqrt-pow1_binary64_4188` `rem-sqrt-square_binary64_4183`

Counts

4 → 95

Calls

4 calls:

41.0ms	(.f64 (.f64 d1 (sqrt.f64 (+.f64 d2 (-.f64 d4 (+.f64 d1 d3))))) (sqrt.f64 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1))))
18.0ms	(*.f64 d1 (sqrt.f64 (+.f64 d2 (-.f64 d4 (+.f64 d1 d3)))))
8.0ms	(sqrt.f64 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)))
8.0ms	(sqrt.f64 (+.f64 d2 (-.f64 d4 (+.f64 d1 d3))))

Compiler

Compiled 2934 to 393 computations (86.6% saved)

series1.9s (20.6%)

Error

0.0b

Counts

4 → 81

Calls

4 calls:

1.1s	(.f64 (.f64 d1 (sqrt.f64 (+.f64 d2 (-.f64 d4 (+.f64 d1 d3))))) (sqrt.f64 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1))))
244.0ms	(*.f64 d1 (sqrt.f64 (+.f64 d2 (-.f64 d4 (+.f64 d1 d3)))))
203.0ms	(sqrt.f64 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)))
174.0ms	(sqrt.f64 (+.f64 d2 (-.f64 d4 (+.f64 d1 d3))))

Compiler

Compiled 7580 to 4091 computations (46% saved)

simplify84.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

176 → 176

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5115	4630

prune178.0ms (2%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	175	1	176
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	175	6	181

Error

Counts

181 → 6

Compiler

Compiled 4855 to 1054 computations (78.3% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 d4 (+.f64 d1 d3))
0.0b	(*.f64 d1 (+.f64 d2 (-.f64 d4 (+.f64 d1 d3))))
0.3b	(pow.f64 (*.f64 d1 (+.f64 d2 (-.f64 d4 (+.f64 d1 d3)))) 3)
34.0b	(cbrt.f64 (pow.f64 (*.f64 d1 (+.f64 d2 (-.f64 d4 (+.f64 d1 d3)))) 3))

rewrite138.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

25×	`*-un-lft-identity_binary64_4170`
13×	`add-sqr-sqrt_binary64_4192`
9×	`pow1_binary64_4231` `add-log-exp_binary64_4209` `add-exp-log_binary64_4208` `add-cbrt-cube_binary64_4206` `add-cube-cbrt_binary64_4205`
8×	`cbrt-prod_binary64_4201`
6×	`associate-r/_binary64_4112` `associate-r*_binary64_4110` `distribute-lft-out_binary64_4121`
4×	`cube-div_binary64_4199` `distribute-lft-out--_binary64_4122` `cancel-sign-sub-inv_binary64_4136`
3×	`flip3-+_binary64_4173` `flip-+_binary64_4144` `pow-unpow_binary64_4247` `associate-l_binary64_4111`
2×	`cbrt-div_binary64_4202` `unpow-prod-down_binary64_4249` `unpow3_binary64_4236` `cube-mult_binary64_4200` `cube-prod_binary64_4198` `sqr-pow_binary64_4142` `pow-prod-down_binary64_4241` `pow-pow_binary64_4242` `prod-exp_binary64_4219` `pow-exp_binary64_4238` `rem-cube-cbrt_binary64_4193` `cbrt-unprod_binary64_4203` `diff-log_binary64_4262`
1×	`pow1/3_binary64_4252` `rem-cbrt-cube_binary64_4194` `pow-to-exp_binary64_4239` `unswap-sqr_binary64_4138` `distribute-rgt-in_binary64_4120` `distribute-lft-in_binary64_4119` `*-commutative_binary64_4101` `sum-log_binary64_4261` `flip3--_binary64_4174` `sub-neg_binary64_4163` `flip--_binary64_4145` `difference-of-squares_binary64_4139` `associate--r+_binary64_4106`

Counts

4 → 88

Calls

4 calls:

13.0ms	(-.f64 d4 (+.f64 d1 d3))
11.0ms	(*.f64 d1 (+.f64 d2 (-.f64 d4 (+.f64 d1 d3))))
11.0ms	(pow.f64 (*.f64 d1 (+.f64 d2 (-.f64 d4 (+.f64 d1 d3)))) 3)
2.0ms	(cbrt.f64 (pow.f64 (*.f64 d1 (+.f64 d2 (-.f64 d4 (+.f64 d1 d3)))) 3))

Compiler

Compiled 1855 to 602 computations (67.5% saved)

series2.1s (22.8%)

Error

Counts

4 → 114

Calls

4 calls:

1.1s	(pow.f64 (*.f64 d1 (+.f64 d2 (-.f64 d4 (+.f64 d1 d3)))) 3)
235.0ms	(cbrt.f64 (pow.f64 (*.f64 d1 (+.f64 d2 (-.f64 d4 (+.f64 d1 d3)))) 3))
224.0ms	(*.f64 d1 (+.f64 d2 (-.f64 d4 (+.f64 d1 d3))))
84.0ms	(-.f64 d4 (+.f64 d1 d3))

Compiler

Compiled 12706 to 9384 computations (26.1% saved)

simplify123.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

202 → 202

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5132	9032

prune351.0ms (3.9%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	202	0	202
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	202	6	208

Error

Counts

208 → 6

Compiler

Compiled 6937 to 3512 computations (49.4% saved)

regimes292.0ms (3.2%)

Accuracy

Total 0.0b remaining (75.5%)

Threshold costs 0.0b (75.5%)

Compiler

Compiled 1878 to 1464 computations (22% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	40	16
1	40	16

end0.0ms (0%)

sample1.5s (16.8%)

Algorithm

1×

intervals

Results

411.0ms	8000×	body	128	valid
110.0ms	2335×	body	128	invalid

Compiler

Compiled 404 to 315 computations (22% saved)

Details

analyze794.0ms (8.8%)

sample26.0ms (0.3%)

simplify213.0ms (2.4%)

prune3.0ms (0%)

localize6.0ms (0.1%)

rewrite36.0ms (0.4%)

series225.0ms (2.5%)

simplify93.0ms (1%)

prune48.0ms (0.5%)

localize8.0ms (0.1%)

rewrite70.0ms (0.8%)

series505.0ms (5.6%)

simplify84.0ms (0.9%)

prune69.0ms (0.8%)

localize13.0ms (0.1%)

rewrite209.0ms (2.3%)

series1.9s (20.6%)

simplify84.0ms (0.9%)

prune178.0ms (2%)

localize18.0ms (0.2%)

rewrite138.0ms (1.5%)

series2.1s (22.8%)

simplify123.0ms (1.4%)

prune351.0ms (3.9%)

regimes292.0ms (3.2%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.5s (16.8%)

Profiling