Details

analyze1.1s (21.1%)

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)

sample37.0ms (0.7%)

Algorithm

1×

intervals

Results

12.0ms	256×	body	128	valid
3.0ms	74×	body	128	invalid

Compiler

Compiled 31 to 27 computations (12.9% saved)

simplify85.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (79.0ms)

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)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

rewrite62.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

19×	`add-log-exp_binary64_4891`
6×	`diff-log_binary64_4944`
4×	`sum-log_binary64_4943` `add-sqr-sqrt_binary64_4874`
3×	`pow1_binary64_4913` `add-exp-log_binary64_4890` `add-cbrt-cube_binary64_4888` `add-cube-cbrt_binary64_4887` `*-un-lft-identity_binary64_4852` `sub-neg_binary64_4845` `cancel-sign-sub-inv_binary64_4818`
2×	`associate-+l-_binary64_4787` `associate-+l+_binary64_4785` `flip3--_binary64_4856` `flip--_binary64_4827`
1×	`flip3-+_binary64_4855` `flip-+_binary64_4826` `+-commutative_binary64_4782` `distribute-lft-out--_binary64_4804` `difference-of-squares_binary64_4821` `associate--l-_binary64_4790` `associate--l+_binary64_4789`

Counts

3 → 45

Calls

3 calls:

9.0ms	(-.f64 (+.f64 (-.f64 (.f64 d1 d2) (.f64 d1 d3)) (.f64 d4 d1)) (.f64 d1 d1))
7.0ms	(+.f64 (-.f64 (.f64 d1 d2) (.f64 d1 d3)) (*.f64 d4 d1))
4.0ms	(-.f64 (.f64 d1 d2) (.f64 d1 d3))

Compiler

Compiled 1129 to 181 computations (84% saved)

series603.0ms (11.5%)

Error

0.0b

Counts

3 → 60

Calls

3 calls:

263.0ms	(-.f64 (+.f64 (-.f64 (.f64 d1 d2) (.f64 d1 d3)) (.f64 d4 d1)) (.f64 d1 d1))
191.0ms	(+.f64 (-.f64 (.f64 d1 d2) (.f64 d1 d3)) (*.f64 d4 d1))
111.0ms	(-.f64 (.f64 d1 d2) (.f64 d1 d3))

Compiler

Compiled 1889 to 1092 computations (42.2% saved)

simplify58.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5185	1207

prune70.0ms (1.3%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	104	1	105
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	106	1	107

Error

0.0b

Counts

107 → 1

Compiler

Compiled 1383 to 209 computations (84.9% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

rewrite75.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

15×	`cancel-sign-sub-inv_binary64_4818`
14×	`add-sqr-sqrt_binary64_4874`
11×	`*-un-lft-identity_binary64_4852`
10×	`add-log-exp_binary64_4891`
9×	`add-cube-cbrt_binary64_4887`
8×	`distribute-rgt-in_binary64_4802` `associate--r+_binary64_4788` `distribute-lft-in_binary64_4801`
7×	`sub-neg_binary64_4845`
5×	`pow1_binary64_4913` `add-exp-log_binary64_4890` `add-cbrt-cube_binary64_4888` `associate-r_binary64_4792`
4×	`diff-log_binary64_4944` `distribute-lft-out--_binary64_4804`
3×	`flip3--_binary64_4856` `flip--_binary64_4827` `associate-l_binary64_4793`
2×	`difference-of-squares_binary64_4821` `associate--l+_binary64_4789` `associate-*r/_binary64_4794`
1×	`associate--l-_binary64_4790` `pow-prod-down_binary64_4923` `prod-exp_binary64_4901` `cbrt-unprod_binary64_4885` `unswap-sqr_binary64_4820` `*-commutative_binary64_4783`

Counts

3 → 69

Calls

3 calls:

7.0ms	(*.f64 d1 (-.f64 d3 d4))
7.0ms	(-.f64 (-.f64 (.f64 d1 d2) (.f64 d1 (-.f64 d3 d4))) (*.f64 d1 d1))
5.0ms	(-.f64 (.f64 d1 d2) (.f64 d1 (-.f64 d3 d4)))

Compiler

Compiled 1433 to 302 computations (78.9% saved)

series596.0ms (11.4%)

Error

0.0b

Counts

3 → 60

Calls

3 calls:

277.0ms	(-.f64 (-.f64 (.f64 d1 d2) (.f64 d1 (-.f64 d3 d4))) (*.f64 d1 d1))
185.0ms	(-.f64 (.f64 d1 d2) (.f64 d1 (-.f64 d3 d4)))
104.0ms	(*.f64 d1 (-.f64 d3 d4))

Compiler

Compiled 1883 to 1080 computations (42.6% saved)

simplify84.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4946	1384
1	4946	1384

prune71.0ms (1.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	128	1	129
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	128	2	130

Error

Counts

130 → 2

Compiler

Compiled 1771 to 284 computations (84% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 (-.f64 d3 d4)) (cbrt.f64 (-.f64 d3 d4)))
0.5b	(cbrt.f64 (-.f64 d3 d4))
0.5b	(cbrt.f64 (-.f64 d3 d4))
0.5b	(cbrt.f64 (-.f64 d3 d4))

rewrite137.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

43×	`cbrt-prod_binary64_4883`
37×	`add-sqr-sqrt_binary64_4874`
35×	`*-un-lft-identity_binary64_4852`
18×	`cbrt-div_binary64_4884`
15×	`add-cube-cbrt_binary64_4887`
11×	`pow1_binary64_4913`
10×	`swap-sqr_binary64_4819`
9×	`pow1/3_binary64_4934` `flip3--_binary64_4856` `flip--_binary64_4827` `distribute-lft-out--_binary64_4804`
8×	`associate-l_binary64_4793` `associate-r_binary64_4792`
7×	`difference-of-squares_binary64_4821`
6×	`add-exp-log_binary64_4890`
4×	`add-log-exp_binary64_4891` `add-cbrt-cube_binary64_4888` `frac-times_binary64_4862` `unswap-sqr_binary64_4820`
2×	`pow-prod-down_binary64_4923` `pow-prod-up_binary64_4922` `pow-sqr_binary64_4825` `associate-l/_binary64_4795` `associate-r/_binary64_4794`
1×	`pow2_binary64_4933` `pow-plus_binary64_4915` `prod-exp_binary64_4901` `cbrt-unprod_binary64_4885` `*-commutative_binary64_4783`

Counts

4 → 101

Calls

4 calls:

13.0ms	(*.f64 (cbrt.f64 (-.f64 d3 d4)) (cbrt.f64 (-.f64 d3 d4)))
5.0ms	(cbrt.f64 (-.f64 d3 d4))
3.0ms	(cbrt.f64 (-.f64 d3 d4))
3.0ms	(cbrt.f64 (-.f64 d3 d4))

Compiler

Compiled 3230 to 690 computations (78.6% saved)

series348.0ms (6.6%)

Error

Counts

4 → 33

Calls

4 calls:

91.0ms	(*.f64 (cbrt.f64 (-.f64 d3 d4)) (cbrt.f64 (-.f64 d3 d4)))
81.0ms	(cbrt.f64 (-.f64 d3 d4))
72.0ms	(cbrt.f64 (-.f64 d3 d4))
70.0ms	(cbrt.f64 (-.f64 d3 d4))

Compiler

Compiled 2792 to 1793 computations (35.8% saved)

simplify116.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 0 (93.0ms)

Iter	Nodes	Cost
0	4854	1747
1	4854	1747

prune124.0ms (2.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	134	0	134
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	134	2	136

Error

Counts

136 → 2

Compiler

Compiled 3782 to 873 computations (76.9% saved)

regimes219.0ms (4.2%)

Accuracy

Total 0.0b remaining (73%)

Threshold costs 0.0b (73%)

Compiler

Compiled 1453 to 1294 computations (10.9% saved)

bsearch0.0ms (0%)

simplify17.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (9.0ms)

Iter	Nodes	Cost
0	252	19
1	252	19

Compiler

Compiled 26 to 20 computations (23.1% saved)

end0.0ms (0%)

sample1.4s (26.6%)

Algorithm

1×

intervals

Results

312.0ms	8000×	body	128	valid
91.0ms	2446×	body	128	invalid

Compiler

Compiled 321 to 282 computations (12.1% saved)

Details

analyze1.1s (21.1%)

sample37.0ms (0.7%)

simplify85.0ms (1.6%)

prune4.0ms (0.1%)

localize10.0ms (0.2%)

rewrite62.0ms (1.2%)

series603.0ms (11.5%)

simplify58.0ms (1.1%)

prune70.0ms (1.3%)

localize9.0ms (0.2%)

rewrite75.0ms (1.4%)

series596.0ms (11.4%)

simplify84.0ms (1.6%)

prune71.0ms (1.3%)

localize13.0ms (0.2%)

rewrite137.0ms (2.6%)

series348.0ms (6.6%)

simplify116.0ms (2.2%)

prune124.0ms (2.4%)

regimes219.0ms (4.2%)

bsearch0.0ms (0%)

simplify17.0ms (0.3%)

end0.0ms (0%)

sample1.4s (26.6%)

Profiling