Details

analyze1.1s (16.5%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5233	91
0	4	4
1	4	4

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

Symmetry

sort(d2 d4)

Compiler

Compiled 16 to 12 computations (25% saved)

sample34.0ms (0.5%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
3.0ms	67×	body	128	invalid

Compiler

Compiled 31 to 27 computations (12.9% saved)

simplify85.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	1064	13
1	1064	13

prune4.0ms (0.1%)

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)

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite56.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

24×	`*-un-lft-identity_binary64_4170`
11×	`add-log-exp_binary64_4209`
8×	`add-sqr-sqrt_binary64_4192` `associate-+r+_binary64_4102`
6×	`add-cube-cbrt_binary64_4205` `associate-r_binary64_4110` `distribute-lft-out_binary64_4121` `distribute-lft-out--_binary64_4122` `cancel-sign-sub-inv_binary64_4136`
4×	`pow1_binary64_4231` `add-exp-log_binary64_4208` `add-cbrt-cube_binary64_4206` `associate--l+_binary64_4107`
3×	`associate-l_binary64_4111` `diff-log_binary64_4262` `sum-log_binary64_4261`
2×	`flip3-+_binary64_4173` `associate-*r/_binary64_4112` `flip-+_binary64_4144` `sub-neg_binary64_4163`
1×	`pow-prod-down_binary64_4241` `prod-exp_binary64_4219` `cbrt-unprod_binary64_4203` `unswap-sqr_binary64_4138` `distribute-rgt-in_binary64_4120` `distribute-lft-in_binary64_4119` `*-commutative_binary64_4101` `associate-+r-_binary64_4104` `+-commutative_binary64_4100`

Counts

2 → 50

Calls

2 calls:

11.0ms	(*.f64 d1 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)))
9.0ms	(+.f64 d4 (-.f64 (-.f64 d2 d3) d1))

Compiler

Compiled 802 to 187 computations (76.7% saved)

series312.0ms (4.8%)

Error

0.0b

Counts

2 → 48

Calls

2 calls:

181.0ms	(*.f64 d1 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)))
105.0ms	(+.f64 d4 (-.f64 (-.f64 d2 d3) d1))

Compiler

Compiled 1104 to 736 computations (33.3% saved)

simplify80.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4961	1053
1	4961	1053

prune54.0ms (0.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	96	2	98
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	96	4	100

Error

Counts

100 → 4

Compiler

Compiled 1097 to 205 computations (81.3% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite55.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

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` `distribute-lft-in_binary64_4119` `associate-+r+_binary64_4102`
8×	`add-cube-cbrt_binary64_4205`
6×	`distribute-lft-out_binary64_4121` `associate-r_binary64_4110`
4×	`pow1_binary64_4231` `add-exp-log_binary64_4208` `add-log-exp_binary64_4209` `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×	`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` `sum-log_binary64_4261` `flip3-+_binary64_4173` `flip-+_binary64_4144` `+-commutative_binary64_4100`

Counts

2 → 55

Calls

2 calls:

11.0ms	(*.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)

series422.0ms (6.5%)

Error

Counts

2 → 42

Calls

2 calls:

264.0ms	(+.f64 (.f64 d1 d4) (.f64 d1 (-.f64 d2 (+.f64 d1 d3))))
133.0ms	(*.f64 d1 (-.f64 d2 (+.f64 d1 d3)))

Compiler

Compiled 1247 to 824 computations (33.9% saved)

simplify72.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4927	1108
1	4927	1108

prune56.0ms (0.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	96	1	97
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	97	4	101

Error

Counts

101 → 4

Compiler

Compiled 1266 to 217 computations (82.9% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

rewrite73.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

15×	`-un-lft-identity_binary64_4170` `associate-l*_binary64_4111`
13×	`add-sqr-sqrt_binary64_4192`
9×	`add-cube-cbrt_binary64_4205`
7×	`pow1_binary64_4231` `add-exp-log_binary64_4208` `add-cbrt-cube_binary64_4206` `flip3-+_binary64_4173` `flip-+_binary64_4144` `associate-r_binary64_4110`
6×	`distribute-neg-frac_binary64_4134` `associate-l/_binary64_4113` `associate-r/_binary64_4112`
5×	`add-log-exp_binary64_4209`
4×	`frac-add_binary64_4178` `distribute-rgt-neg-in_binary64_4128` `distribute-lft-neg-in_binary64_4127`
3×	`distribute-lft-out_binary64_4121`
2×	`distribute-lft-neg-out_binary64_4129` `distribute-rgt-in_binary64_4120` `associate-+l+_binary64_4103` `distribute-lft-in_binary64_4119` `pow-prod-down_binary64_4241` `prod-exp_binary64_4219` `cbrt-unprod_binary64_4203` `unswap-sqr_binary64_4138` `*-commutative_binary64_4101`
1×	`sum-log_binary64_4261` `unsub-neg_binary64_4164` `+-commutative_binary64_4100` `neg-mul-1_binary64_4166`

Counts

3 → 71

Calls

3 calls:

7.0ms	(+.f64 (.f64 d1 (+.f64 d2 d4)) (.f64 (neg.f64 (+.f64 d1 d3)) d1))
7.0ms	(*.f64 (neg.f64 (+.f64 d1 d3)) d1)
6.0ms	(*.f64 d1 (+.f64 d2 d4))

Compiler

Compiled 1482 to 309 computations (79.1% saved)

series451.0ms (7%)

Error

Counts

3 → 51

Calls

3 calls:

261.0ms	(+.f64 (.f64 d1 (+.f64 d2 d4)) (.f64 (neg.f64 (+.f64 d1 d3)) d1))
83.0ms	(*.f64 (neg.f64 (+.f64 d1 d3)) d1)
81.0ms	(*.f64 d1 (+.f64 d2 d4))

Compiler

Compiled 1548 to 976 computations (37% saved)

simplify60.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5025	1483

prune69.0ms (1.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	122	4	126

Error

Counts

126 → 4

Compiler

Compiled 1800 to 333 computations (81.5% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 d2 (-.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)
37.1b	(cbrt.f64 (pow.f64 (*.f64 d1 (+.f64 d2 (-.f64 d4 (+.f64 d1 d3)))) 3))

rewrite113.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

29×	`*-un-lft-identity_binary64_4170`
13×	`add-log-exp_binary64_4209`
11×	`add-sqr-sqrt_binary64_4192`
9×	`pow1_binary64_4231` `add-exp-log_binary64_4208` `add-cbrt-cube_binary64_4206` `add-cube-cbrt_binary64_4205` `distribute-lft-out_binary64_4121`
8×	`cbrt-prod_binary64_4201`
6×	`associate-r/_binary64_4112` `associate-r*_binary64_4110`
5×	`associate-+r+_binary64_4102`
4×	`flip3-+_binary64_4173` `cube-div_binary64_4199` `flip-+_binary64_4144` `distribute-lft-out--_binary64_4122` `sum-log_binary64_4261` `cancel-sign-sub-inv_binary64_4136`
3×	`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` `associate-+r-_binary64_4104` `sub-neg_binary64_4163` `+-commutative_binary64_4100`

Counts

4 → 90

Calls

4 calls:

13.0ms	(*.f64 d1 (+.f64 d2 (-.f64 d4 (+.f64 d1 d3))))
10.0ms	(pow.f64 (*.f64 d1 (+.f64 d2 (-.f64 d4 (+.f64 d1 d3)))) 3)
8.0ms	(+.f64 d2 (-.f64 d4 (+.f64 d1 d3)))
2.0ms	(cbrt.f64 (pow.f64 (*.f64 d1 (+.f64 d2 (-.f64 d4 (+.f64 d1 d3)))) 3))

Compiler

Compiled 1896 to 583 computations (69.3% saved)

series1.6s (25.3%)

Error

Counts

4 → 120

Calls

4 calls:

831.0ms	(pow.f64 (*.f64 d1 (+.f64 d2 (-.f64 d4 (+.f64 d1 d3)))) 3)
199.0ms	(cbrt.f64 (pow.f64 (*.f64 d1 (+.f64 d2 (-.f64 d4 (+.f64 d1 d3)))) 3))
178.0ms	(*.f64 d1 (+.f64 d2 (-.f64 d4 (+.f64 d1 d3))))
105.0ms	(+.f64 d2 (-.f64 d4 (+.f64 d1 d3)))

Compiler

Compiled 12830 to 9480 computations (26.1% saved)

simplify92.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

210 → 210

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5108	9149

prune303.0ms (4.7%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	210	0	210
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	210	4	214

Error

Counts

214 → 4

Compiler

Compiled 7035 to 3523 computations (49.9% saved)

regimes201.0ms (3.1%)

Accuracy

Total 0.0b remaining (70.1%)

Threshold costs 0.0b (70.1%)

Compiler

Compiled 1483 to 1334 computations (10% saved)

bsearch0.0ms (0%)

simplify10.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	29	13
1	29	13

Removed

((sort d2 d4))

Compiler

Compiled 18 to 16 computations (11.1% saved)

end0.0ms (0%)

sample1.1s (17.4%)

Algorithm

1×

intervals

Results

306.0ms	8000×	body	128	valid
98.0ms	2388×	body	128	invalid

Compiler

Compiled 323 to 288 computations (10.8% saved)

Details

analyze1.1s (16.5%)

sample34.0ms (0.5%)

simplify85.0ms (1.3%)

prune4.0ms (0.1%)

localize11.0ms (0.2%)

rewrite56.0ms (0.9%)

series312.0ms (4.8%)

simplify80.0ms (1.2%)

prune54.0ms (0.8%)

localize7.0ms (0.1%)

rewrite55.0ms (0.9%)

series422.0ms (6.5%)

simplify72.0ms (1.1%)

prune56.0ms (0.9%)

localize8.0ms (0.1%)

rewrite73.0ms (1.1%)

series451.0ms (7%)

simplify60.0ms (0.9%)

prune69.0ms (1.1%)

localize9.0ms (0.1%)

rewrite113.0ms (1.7%)

series1.6s (25.3%)

simplify92.0ms (1.4%)

prune303.0ms (4.7%)

regimes201.0ms (3.1%)

bsearch0.0ms (0%)

simplify10.0ms (0.2%)

end0.0ms (0%)

sample1.1s (17.4%)

Profiling