Details

analyze2.8s (23.2%)

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)

sample119.0ms (1%)

Algorithm

1×

intervals

Results

25.0ms	256×	body	128	valid
22.0ms	289×	body	128	invalid

Compiler

Compiled 63 to 69 computations (-9.5% saved)

simplify429.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (419.0ms)

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

5.9b

Counts

2 → 1

Compiler

Compiled 60 to 57 computations (5% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 x 18) y)
0.2b	(.f64 (.f64 x 4) i)
5.4b	(.f64 (.f64 (*.f64 x 18) y) z)
6.7b	(.f64 (.f64 (.f64 (.f64 x 18) y) z) t)

rewrite171.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

1.1b

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:

9.0ms	(.f64 (.f64 (.f64 (.f64 x 18) y) z) t)
7.0ms	(.f64 (.f64 (*.f64 x 18) y) z)
5.0ms	(.f64 (.f64 x 18) y)
5.0ms	(.f64 (.f64 x 4) i)

Compiler

Compiled 3022 to 1784 computations (41% saved)

series509.0ms (4.2%)

Error

3.6b

Counts

4 → 33

Calls

4 calls:

213.0ms	(.f64 (.f64 (.f64 (.f64 x 18) y) z) t)
131.0ms	(.f64 (.f64 (*.f64 x 18) y) z)
63.0ms	(.f64 (.f64 x 18) y)
61.0ms	(.f64 (.f64 x 4) i)

Compiler

Compiled 3069 to 2459 computations (19.9% saved)

simplify76.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5260	1238

prune174.0ms (1.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	109	5	114
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	110	5	115

Error

1.1b

Counts

115 → 5

Compiler

Compiled 3984 to 2244 computations (43.7% saved)

localize28.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 i)
0.6b	(cbrt.f64 i)
5.4b	(.f64 (.f64 (*.f64 x 18) y) z)
6.7b	(.f64 (.f64 (.f64 (.f64 x 18) y) z) t)

rewrite136.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

1.1b

Rules

27×	`pow1_binary64_16507` `add-exp-log_binary64_16484` `add-cbrt-cube_binary64_16482`
16×	`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`
6×	`associate-r_binary64_16386` `cbrt-prod_binary64_16477`
4×	`add-log-exp_binary64_16485`
2×	`associate-l_binary64_16387` `*-commutative_binary64_16377` `pow1/3_binary64_16528`

Counts

4 → 67

Calls

4 calls:

10.0ms	(.f64 (.f64 (.f64 (.f64 x 18) y) z) t)
7.0ms	(.f64 (.f64 (*.f64 x 18) y) z)
1.0ms	(cbrt.f64 i)
1.0ms	(cbrt.f64 i)

Compiler

Compiled 2961 to 1521 computations (48.6% saved)

series551.0ms (4.5%)

Error

1.1b

Counts

4 → 27

Calls

4 calls:

222.0ms	(.f64 (.f64 (.f64 (.f64 x 18) y) z) t)
136.0ms	(.f64 (.f64 (*.f64 x 18) y) z)
77.0ms	(cbrt.f64 i)
77.0ms	(cbrt.f64 i)

Compiler

Compiled 3126 to 2272 computations (27.3% saved)

simplify52.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5013	1000

prune150.0ms (1.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	93	1	94
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	93	6	99

Error

1.1b

Counts

99 → 6

Compiler

Compiled 3991 to 1987 computations (50.2% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 j 27) k)
0.2b	(.f64 (.f64 x 18) y)
0.2b	(.f64 (.f64 x 4) i)
9.9b	(.f64 (.f64 (.f64 x 18) y) (.f64 t z))

rewrite163.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Rules

40×	`pow1_binary64_16507` `add-exp-log_binary64_16484` `add-cbrt-cube_binary64_16482`
24×	`pow-prod-down_binary64_16517` `prod-exp_binary64_16495` `cbrt-unprod_binary64_16479`
10×	`associate-r_binary64_16386`
7×	`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 → 82

Calls

4 calls:

9.0ms	(.f64 (.f64 (.f64 x 18) y) (.f64 t z))
5.0ms	(.f64 (.f64 x 18) y)
5.0ms	(.f64 (.f64 x 4) i)
5.0ms	(.f64 (.f64 j 27) k)

Compiler

Compiled 3053 to 1721 computations (43.6% saved)

series433.0ms (3.5%)

Error

1.0b

Counts

4 → 30

Calls

4 calls:

214.0ms	(.f64 (.f64 (.f64 x 18) y) (.f64 t z))
62.0ms	(.f64 (.f64 x 18) y)
61.0ms	(.f64 (.f64 j 27) k)
56.0ms	(.f64 (.f64 x 4) i)

Compiler

Compiled 2790 to 2227 computations (20.2% saved)

simplify73.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4967	1160
1	4967	1160

prune173.0ms (1.4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	108	4	112
Fresh	0	4	4
Picked	1	0	1
Done	0	1	1
Total	109	9	118

Error

0.3b

Counts

118 → 9

Compiler

Compiled 4017 to 2249 computations (44% saved)

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 x 4) i)
0.3b	(.f64 18 (.f64 x y))
4.2b	(.f64 (.f64 t (.f64 18 (.f64 x y))) z)
5.5b	(.f64 t (.f64 18 (*.f64 x y)))

rewrite149.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

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:

9.0ms	(.f64 (.f64 t (.f64 18 (.f64 x y))) z)
7.0ms	(.f64 t (.f64 18 (*.f64 x y)))
5.0ms	(.f64 18 (.f64 x y))
5.0ms	(.f64 (.f64 x 4) i)

Compiler

Compiled 3022 to 1689 computations (44.1% saved)

series499.0ms (4.1%)

Error

0.3b

Counts

4 → 33

Calls

4 calls:

208.0ms	(.f64 (.f64 t (.f64 18 (.f64 x y))) z)
130.0ms	(.f64 t (.f64 18 (*.f64 x y)))
62.0ms	(.f64 (.f64 x 4) i)
61.0ms	(.f64 18 (.f64 x y))

Compiler

Compiled 3069 to 2454 computations (20% saved)

simplify82.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5004	1240

prune156.0ms (1.3%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	114	0	114
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	114	9	123

Error

0.3b

Counts

123 → 9

Compiler

Compiled 3813 to 2061 computations (45.9% saved)

regimes1.7s (14%)

Accuracy

Total 0.9b remaining (91.9%)

Threshold costs 0.9b (91.9%)

Compiler

Compiled 20032 to 18116 computations (9.6% saved)

bsearch3.0ms (0%)

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

simplify97.0ms (0.8%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	184	178
1	184	178

Removed

((sort j k) (sort b c))

Compiler

Compiled 952 to 656 computations (31.1% saved)

end0.0ms (0%)

sample3.4s (27.6%)

Algorithm

1×

intervals

Results

689.0ms	8354×	body	128	invalid
649.0ms	8000×	body	128	valid

Compiler

Compiled 1488 to 1284 computations (13.7% saved)

Details

analyze2.8s (23.2%)

sample119.0ms (1%)

simplify429.0ms (3.5%)

prune5.0ms (0%)

localize21.0ms (0.2%)

rewrite171.0ms (1.4%)

series509.0ms (4.2%)

simplify76.0ms (0.6%)

prune174.0ms (1.4%)

localize28.0ms (0.2%)

rewrite136.0ms (1.1%)

series551.0ms (4.5%)

simplify52.0ms (0.4%)

prune150.0ms (1.2%)

localize21.0ms (0.2%)

rewrite163.0ms (1.3%)

series433.0ms (3.5%)

simplify73.0ms (0.6%)

prune173.0ms (1.4%)

localize25.0ms (0.2%)

rewrite149.0ms (1.2%)

series499.0ms (4.1%)

simplify82.0ms (0.7%)

prune156.0ms (1.3%)

regimes1.7s (14%)

bsearch3.0ms (0%)

simplify97.0ms (0.8%)

end0.0ms (0%)

sample3.4s (27.6%)

Profiling