Details

analyze5.4s (26.5%)

Algorithm

2×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5056	1978
0	10	10
1	10	10

Search

True	Other	False	Iter
0%	99.5%	0.5%	0
0%	99.5%	0.5%	0
0%	99.5%	0.5%	1
0%	99.5%	0.5%	1
0%	99.5%	0.5%	2
0%	99.5%	0.5%	2
0%	99.5%	0.5%	3
0%	99.5%	0.5%	3
0%	99.5%	0.5%	4
0%	99.5%	0.5%	4
0%	99.5%	0.5%	5
0%	99.5%	0.5%	5
0%	99.5%	0.5%	6
0%	99.5%	0.5%	6
0%	99.5%	0.5%	7
0%	99.5%	0.5%	7
0%	99.5%	0.5%	8
0%	99.5%	0.5%	8
0%	99.5%	0.5%	9
0%	99.5%	0.5%	9
0%	99.5%	0.5%	10
0%	99.5%	0.5%	10
0%	99.5%	0.5%	11
0%	99.5%	0.5%	11
0%	99.5%	0.5%	12
0%	99.5%	0.5%	12
0%	99.5%	0.5%	13
0%	99.5%	0.5%	13
0%	99.5%	0.5%	14
0%	99.5%	0.5%	14

Symmetry

(sort y z)

(sort b c)

(sort j k)

Compiler

Compiled 64 to 60 computations (6.3% saved)

sample3.9s (19.2%)

Algorithm

2×

intervals

Results

49.0ms	514×	body	128	invalid
43.0ms	512×	body	128	valid

Compiler

Compiled 16063 to 20069 computations (-24.9% saved)

simplify416.0ms (2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (410.0ms)

Iter	Nodes	Cost
0	3064	43
1	3064	43

prune6.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

5.2b

Counts

2 → 1

Compiler

Compiled 58 to 56 computations (3.4% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 j 27) k)
0.2b	(.f64 (.f64 x 18) y)
3.2b	(.f64 t (-.f64 (.f64 (.f64 (.f64 x 18) y) z) (*.f64 a 4)))
5.6b	(.f64 (.f64 (*.f64 x 18) y) z)

rewrite197.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

3.3b

Rules

25×	`pow1_binary64_20599` `add-exp-log_binary64_20576` `add-cbrt-cube_binary64_20574`
13×	`pow-prod-down_binary64_20609` `prod-exp_binary64_20587` `cbrt-unprod_binary64_20571`
12×	`associate-r_binary64_20478`
11×	`add-sqr-sqrt_binary64_20560`
9×	`add-cube-cbrt_binary64_20573` `*-un-lft-identity_binary64_20538`
6×	`associate-l_binary64_20479`
4×	`add-log-exp_binary64_20577` `*-commutative_binary64_20469`
2×	`sub-neg_binary64_20531` `distribute-rgt-in_binary64_20488` `cancel-sign-sub-inv_binary64_20504` `distribute-lft-in_binary64_20487` `associate-*r/_binary64_20480`
1×	`unswap-sqr_binary64_20506` `flip3--_binary64_20542` `flip--_binary64_20513`

Counts

4 → 81

Calls

4 calls:

10.0ms	(.f64 t (-.f64 (.f64 (.f64 (.f64 x 18) y) z) (*.f64 a 4)))
7.0ms	(.f64 (.f64 (*.f64 x 18) y) z)
5.0ms	(.f64 (.f64 x 18) y)
5.0ms	(.f64 (.f64 j 27) k)

Compiler

Compiled 2941 to 1787 computations (39.2% saved)

series1.1s (5.2%)

Error

2.0b

Counts

4 → 48

Calls

4 calls:

635.0ms	(.f64 t (-.f64 (.f64 (.f64 (.f64 x 18) y) z) (*.f64 a 4)))
186.0ms	(.f64 (.f64 (*.f64 x 18) y) z)
94.0ms	(.f64 (.f64 j 27) k)
86.0ms	(.f64 (.f64 x 18) y)

Compiler

Compiled 3764 to 3020 computations (19.8% saved)

simplify67.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5160	1684

prune229.0ms (1.1%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	122	7	129
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	123	7	130

Error

2.0b

Counts

130 → 7

Compiler

Compiled 4262 to 2437 computations (42.8% saved)

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 x 18) y)
0.3b	(.f64 27 (.f64 k j))
3.2b	(.f64 t (-.f64 (.f64 (.f64 (.f64 x 18) y) z) (*.f64 a 4)))
5.6b	(.f64 (.f64 (*.f64 x 18) y) z)

rewrite171.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

2.0b

Rules

25×	`pow1_binary64_20599` `add-exp-log_binary64_20576` `add-cbrt-cube_binary64_20574`
13×	`pow-prod-down_binary64_20609` `prod-exp_binary64_20587` `cbrt-unprod_binary64_20571`
11×	`add-sqr-sqrt_binary64_20560`
10×	`associate-r_binary64_20478`
9×	`add-cube-cbrt_binary64_20573` `*-un-lft-identity_binary64_20538`
8×	`associate-l_binary64_20479`
4×	`add-log-exp_binary64_20577` `*-commutative_binary64_20469`
2×	`sub-neg_binary64_20531` `distribute-rgt-in_binary64_20488` `cancel-sign-sub-inv_binary64_20504` `distribute-lft-in_binary64_20487` `associate-*r/_binary64_20480`
1×	`unswap-sqr_binary64_20506` `flip3--_binary64_20542` `flip--_binary64_20513`

Counts

4 → 81

Calls

4 calls:

10.0ms	(.f64 t (-.f64 (.f64 (.f64 (.f64 x 18) y) z) (*.f64 a 4)))
7.0ms	(.f64 (.f64 (*.f64 x 18) y) z)
5.0ms	(.f64 27 (.f64 k j))
5.0ms	(.f64 (.f64 x 18) y)

Compiler

Compiled 2941 to 1712 computations (41.8% saved)

series1.1s (5.2%)

Error

2.0b

Counts

4 → 48

Calls

4 calls:

641.0ms	(.f64 t (-.f64 (.f64 (.f64 (.f64 x 18) y) z) (*.f64 a 4)))
192.0ms	(.f64 (.f64 (*.f64 x 18) y) z)
89.0ms	(.f64 27 (.f64 k j))
84.0ms	(.f64 (.f64 x 18) y)

Compiler

Compiled 3764 to 2978 computations (20.9% saved)

simplify68.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5018	1682

prune212.0ms (1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	129	0	129
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	129	7	136

Error

2.0b

Counts

136 → 7

Compiler

Compiled 4235 to 2306 computations (45.5% saved)

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 j 27) k)
0.2b	(.f64 18 (.f64 x y))
3.2b	(.f64 t (-.f64 (.f64 (.f64 18 (.f64 x y)) z) (*.f64 a 4)))
5.6b	(.f64 (.f64 18 (*.f64 x y)) z)

rewrite178.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

2.0b

Rules

25×	`pow1_binary64_20599` `add-exp-log_binary64_20576` `add-cbrt-cube_binary64_20574`
13×	`pow-prod-down_binary64_20609` `prod-exp_binary64_20587` `cbrt-unprod_binary64_20571`
11×	`add-sqr-sqrt_binary64_20560`
10×	`associate-r_binary64_20478`
9×	`add-cube-cbrt_binary64_20573` `*-un-lft-identity_binary64_20538`
8×	`associate-l_binary64_20479`
4×	`add-log-exp_binary64_20577` `*-commutative_binary64_20469`
2×	`sub-neg_binary64_20531` `distribute-rgt-in_binary64_20488` `cancel-sign-sub-inv_binary64_20504` `distribute-lft-in_binary64_20487` `associate-*r/_binary64_20480`
1×	`unswap-sqr_binary64_20506` `flip3--_binary64_20542` `flip--_binary64_20513`

Counts

4 → 81

Calls

4 calls:

12.0ms	(.f64 t (-.f64 (.f64 (.f64 18 (.f64 x y)) z) (*.f64 a 4)))
7.0ms	(.f64 (.f64 18 (*.f64 x y)) z)
5.0ms	(.f64 (.f64 j 27) k)
5.0ms	(.f64 18 (.f64 x y))

Compiler

Compiled 2941 to 1687 computations (42.6% saved)

series1.0s (4.9%)

Error

2.0b

Counts

4 → 48

Calls

4 calls:

587.0ms	(.f64 t (-.f64 (.f64 (.f64 18 (.f64 x y)) z) (*.f64 a 4)))
199.0ms	(.f64 (.f64 18 (*.f64 x y)) z)
84.0ms	(.f64 18 (.f64 x y))
80.0ms	(.f64 (.f64 j 27) k)

Compiler

Compiled 3764 to 3014 computations (19.9% saved)

simplify69.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4961	1685
1	4961	1685

prune213.0ms (1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	129	0	129
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	129	7	136

Error

2.0b

Counts

136 → 7

Compiler

Compiled 4206 to 2343 computations (44.3% saved)

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 x 18) y)
0.7b	(.f64 j (.f64 27 k))
3.2b	(.f64 t (-.f64 (.f64 (.f64 (.f64 x 18) y) z) (*.f64 a 4)))
5.6b	(.f64 (.f64 (*.f64 x 18) y) z)

rewrite184.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

2.0b

Rules

25×	`pow1_binary64_20599` `add-exp-log_binary64_20576` `add-cbrt-cube_binary64_20574`
13×	`pow-prod-down_binary64_20609` `prod-exp_binary64_20587` `cbrt-unprod_binary64_20571`
11×	`add-sqr-sqrt_binary64_20560`
10×	`associate-r_binary64_20478`
9×	`add-cube-cbrt_binary64_20573` `*-un-lft-identity_binary64_20538`
8×	`associate-l_binary64_20479`
4×	`add-log-exp_binary64_20577` `*-commutative_binary64_20469`
2×	`sub-neg_binary64_20531` `distribute-rgt-in_binary64_20488` `cancel-sign-sub-inv_binary64_20504` `distribute-lft-in_binary64_20487` `associate-*r/_binary64_20480`
1×	`unswap-sqr_binary64_20506` `flip3--_binary64_20542` `flip--_binary64_20513`

Counts

4 → 81

Calls

4 calls:

10.0ms	(.f64 t (-.f64 (.f64 (.f64 (.f64 x 18) y) z) (*.f64 a 4)))
7.0ms	(.f64 (.f64 (*.f64 x 18) y) z)
5.0ms	(.f64 (.f64 x 18) y)
5.0ms	(.f64 j (.f64 27 k))

Compiler

Compiled 2941 to 1787 computations (39.2% saved)

series1.0s (5%)

Error

2.0b

Counts

4 → 48

Calls

4 calls:

611.0ms	(.f64 t (-.f64 (.f64 (.f64 (.f64 x 18) y) z) (*.f64 a 4)))
181.0ms	(.f64 (.f64 (*.f64 x 18) y) z)
91.0ms	(.f64 (.f64 x 18) y)
89.0ms	(.f64 j (.f64 27 k))

Compiler

Compiled 3764 to 3020 computations (19.8% saved)

simplify69.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5051	1682

prune206.0ms (1%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	128	1	129
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	128	8	136

Error

2.0b

Counts

136 → 8

Compiler

Compiled 4070 to 2247 computations (44.8% saved)

regimes1.5s (7.1%)

Accuracy

Total 0.9b remaining (28.8%)

Threshold costs 0.9b (28.8%)

Compiler

Compiled 16451 to 15685 computations (4.7% saved)

bsearch3.0ms (0%)

Compiler: Compiled 25 to 25 computations (0% saved)

simplify82.0ms (0.4%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	232	160
1	232	160

Remove

(sort j k)

(sort b c)

(sort y z)

Compiler

Compiled 642 to 450 computations (29.9% saved)

end0.0ms (0%)

sample3.1s (14.9%)

Algorithm

1×

intervals

Results

687.0ms	8225×	body	128	invalid
654.0ms	8000×	body	128	valid

Compiler

Compiled 1183 to 1058 computations (10.6% saved)

Details

analyze5.4s (26.5%)

sample3.9s (19.2%)

simplify416.0ms (2%)

prune6.0ms (0%)

localize21.0ms (0.1%)

rewrite197.0ms (1%)

series1.1s (5.2%)

simplify67.0ms (0.3%)

prune229.0ms (1.1%)

localize22.0ms (0.1%)

rewrite171.0ms (0.8%)

series1.1s (5.2%)

simplify68.0ms (0.3%)

prune212.0ms (1%)

localize22.0ms (0.1%)

rewrite178.0ms (0.9%)

series1.0s (4.9%)

simplify69.0ms (0.3%)

prune213.0ms (1%)

localize22.0ms (0.1%)

rewrite184.0ms (0.9%)

series1.0s (5%)

simplify69.0ms (0.3%)

prune206.0ms (1%)

regimes1.5s (7.1%)

bsearch3.0ms (0%)

simplify82.0ms (0.4%)

end0.0ms (0%)

sample3.1s (14.9%)

Profiling