Details

analyze3.1s (23.5%)

Algorithm

1×	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%	1
0%	99.5%	0.5%	2
0%	99.5%	0.5%	3
0%	99.5%	0.5%	4
0%	99.5%	0.5%	5
0%	99.5%	0.5%	6
0%	99.5%	0.5%	7
0%	99.5%	0.5%	8
0%	99.5%	0.5%	9
0%	99.5%	0.5%	10
0%	99.5%	0.5%	11
0%	99.5%	0.5%	12
0%	99.5%	0.5%	13
0%	99.5%	0.5%	14

Symmetry

(sort y z)

(sort b c)

(sort j k)

Compiler

Compiled 32 to 30 computations (6.3% saved)

sample121.0ms (0.9%)

Algorithm

1×

intervals

Results

23.0ms	281×	body	128	invalid
20.0ms	256×	body	128	valid

Compiler

Compiled 63 to 69 computations (-9.5% saved)

simplify428.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (423.0ms)

Iter	Nodes	Cost
0	3064	43
1	3064	43

prune5.0ms (0%)

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

6.4b

Counts

2 → 1

Compiler

Compiled 60 to 57 computations (5% saved)

localize28.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 x 18) y)
0.3b	(.f64 (.f64 j 27) k)
5.5b	(.f64 (.f64 (*.f64 x 18) y) z)
5.8b	(.f64 (.f64 (.f64 (.f64 x 18) y) z) t)

rewrite181.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

1.0b

Rules

37×	`pow1_binary64_16507` `add-exp-log_binary64_16484` `add-cbrt-cube_binary64_16482`
22×	`pow-prod-down_binary64_16517` `prod-exp_binary64_16495` `cbrt-unprod_binary64_16479`
12×	`associate-r_binary64_16386`
8×	`add-cube-cbrt_binary64_16481` `add-sqr-sqrt_binary64_16468` `*-un-lft-identity_binary64_16446`
4×	`add-log-exp_binary64_16485` `associate-l_binary64_16387` `*-commutative_binary64_16377`

Counts

4 → 81

Calls

4 calls:

10.0ms	(.f64 (.f64 (.f64 (.f64 x 18) y) z) t)
7.0ms	(.f64 (.f64 (*.f64 x 18) y) z)
6.0ms	(.f64 (.f64 x 18) y)
5.0ms	(.f64 (.f64 j 27) k)

Compiler

Compiled 3022 to 1787 computations (40.9% saved)

series505.0ms (3.9%)

Error

2.6b

Counts

4 → 33

Calls

4 calls:

209.0ms	(.f64 (.f64 (.f64 (.f64 x 18) y) z) t)
128.0ms	(.f64 (.f64 (*.f64 x 18) y) z)
63.0ms	(.f64 (.f64 x 18) y)
59.0ms	(.f64 (.f64 j 27) k)

Compiler

Compiled 3069 to 2458 computations (19.9% saved)

simplify76.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5354	1238

prune188.0ms (1.4%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	105	9	114
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	106	9	115

Error

1.0b

Counts

115 → 9

Compiler

Compiled 4099 to 2356 computations (42.5% saved)

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 18 (.f64 t (.f64 x (.f64 z y))))
0.3b	(.f64 (.f64 j 27) k)
4.3b	(.f64 x (.f64 z y))
5.8b	(.f64 t (.f64 x (*.f64 z y)))

rewrite148.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

37×	`pow1_binary64_16507` `add-exp-log_binary64_16484` `add-cbrt-cube_binary64_16482`
22×	`pow-prod-down_binary64_16517` `prod-exp_binary64_16495` `cbrt-unprod_binary64_16479`
10×	`associate-l_binary64_16387`
8×	`add-cube-cbrt_binary64_16481` `add-sqr-sqrt_binary64_16468` `*-un-lft-identity_binary64_16446`
6×	`associate-r_binary64_16386`
4×	`add-log-exp_binary64_16485` `*-commutative_binary64_16377`

Counts

4 → 81

Calls

4 calls:

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

Compiler

Compiled 3022 to 1496 computations (50.5% saved)

series599.0ms (4.6%)

Error

1.0b

Counts

4 → 39

Calls

4 calls:

222.0ms	(.f64 18 (.f64 t (.f64 x (.f64 z y))))
175.0ms	(.f64 t (.f64 x (*.f64 z y)))
93.0ms	(.f64 x (.f64 z y))
64.0ms	(.f64 (.f64 j 27) k)

Compiler

Compiled 3627 to 2856 computations (21.3% saved)

simplify61.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5004	1283

prune169.0ms (1.3%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	118	2	120
Fresh	2	6	8
Picked	1	0	1
Done	0	0	0
Total	121	8	129

Error

0.0b

Counts

129 → 8

Compiler

Compiled 4256 to 2242 computations (47.3% saved)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 18 (.f64 t (.f64 (.f64 x z) y)))
0.3b	(.f64 (.f64 j 27) k)
5.3b	(.f64 (.f64 x z) y)
5.8b	(.f64 t (.f64 (*.f64 x z) y))

rewrite149.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

37×	`pow1_binary64_16507` `add-exp-log_binary64_16484` `add-cbrt-cube_binary64_16482`
22×	`pow-prod-down_binary64_16517` `prod-exp_binary64_16495` `cbrt-unprod_binary64_16479`
8×	`add-cube-cbrt_binary64_16481` `add-sqr-sqrt_binary64_16468` `-un-lft-identity_binary64_16446` `associate-l_binary64_16387` `associate-r*_binary64_16386`
4×	`add-log-exp_binary64_16485` `*-commutative_binary64_16377`

Counts

4 → 81

Calls

4 calls:

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

Compiler

Compiled 3022 to 1497 computations (50.5% saved)

series605.0ms (4.6%)

Error

0.0b

Counts

4 → 39

Calls

4 calls:

215.0ms	(.f64 18 (.f64 t (.f64 (.f64 x z) y)))
195.0ms	(.f64 t (.f64 (*.f64 x z) y))
93.0ms	(.f64 (.f64 x z) y)
60.0ms	(.f64 (.f64 j 27) k)

Compiler

Compiled 3627 to 2859 computations (21.2% saved)

simplify69.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4955	1288
1	4955	1288

prune172.0ms (1.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	119	1	120
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	119	9	128

Error

0.0b

Counts

128 → 9

Compiler

Compiled 4254 to 2239 computations (47.4% saved)

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 18 (.f64 (.f64 t (.f64 x z)) y))
0.3b	(.f64 (.f64 j 27) k)
4.7b	(.f64 t (.f64 x z))
8.0b	(.f64 (.f64 t (*.f64 x z)) y)

rewrite150.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

37×	`pow1_binary64_16507` `add-exp-log_binary64_16484` `add-cbrt-cube_binary64_16482`
22×	`pow-prod-down_binary64_16517` `prod-exp_binary64_16495` `cbrt-unprod_binary64_16479`
8×	`add-cube-cbrt_binary64_16481` `add-sqr-sqrt_binary64_16468` `-un-lft-identity_binary64_16446` `associate-l_binary64_16387` `associate-r*_binary64_16386`
4×	`add-log-exp_binary64_16485` `*-commutative_binary64_16377`

Counts

4 → 81

Calls

4 calls:

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

Compiler

Compiled 3022 to 1497 computations (50.5% saved)

series590.0ms (4.5%)

Error

0.0b

Counts

4 → 39

Calls

4 calls:

198.0ms	(.f64 18 (.f64 (.f64 t (.f64 x z)) y))
193.0ms	(.f64 (.f64 t (*.f64 x z)) y)
99.0ms	(.f64 t (.f64 x z))
53.0ms	(.f64 (.f64 j 27) k)

Compiler

Compiled 3627 to 2859 computations (21.2% saved)

simplify70.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5443	1294

prune160.0ms (1.2%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	120	9	129

Error

0.0b

Counts

129 → 9

Compiler

Compiled 3999 to 2004 computations (49.9% saved)

regimes1.9s (14.9%)

Accuracy

Total 2.2b remaining (93.9%)

Threshold costs 0b (0%)

Compiler

Compiled 20844 to 18888 computations (9.4% saved)

bsearch3.0ms (0%)

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

simplify73.0ms (0.6%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	210	178
1	210	178

Remove

(sort j k)

(sort b c)

(sort y z)

Compiler

Compiled 714 to 492 computations (31.1% saved)

end0.0ms (0%)

sample3.4s (26.1%)

Algorithm

1×

intervals

Results

689.0ms	8308×	body	128	invalid
663.0ms	8000×	body	128	valid

Compiler

Compiled 1507 to 1304 computations (13.5% saved)

Details

analyze3.1s (23.5%)

sample121.0ms (0.9%)

simplify428.0ms (3.3%)

prune5.0ms (0%)

localize28.0ms (0.2%)

rewrite181.0ms (1.4%)

series505.0ms (3.9%)

simplify76.0ms (0.6%)

prune188.0ms (1.4%)

localize27.0ms (0.2%)

rewrite148.0ms (1.1%)

series599.0ms (4.6%)

simplify61.0ms (0.5%)

prune169.0ms (1.3%)

localize22.0ms (0.2%)

rewrite149.0ms (1.1%)

series605.0ms (4.6%)

simplify69.0ms (0.5%)

prune172.0ms (1.3%)

localize25.0ms (0.2%)

rewrite150.0ms (1.2%)

series590.0ms (4.5%)

simplify70.0ms (0.5%)

prune160.0ms (1.2%)

regimes1.9s (14.9%)

bsearch3.0ms (0%)

simplify73.0ms (0.6%)

end0.0ms (0%)

sample3.4s (26.1%)

Profiling