Details

analyze3.2s (10.6%)

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)

sample128.0ms (0.4%)

Algorithm

1×

intervals

Results

29.0ms	256×	body	128	valid
23.0ms	256×	body	128	invalid

Compiler

Compiled 63 to 69 computations (-9.5% saved)

simplify424.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (418.0ms)

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

4.1b

Counts

2 → 1

Compiler

Compiled 58 to 56 computations (3.4% saved)

localize25.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 x 18) y)
0.2b	(.f64 (.f64 j 27) k)
2.6b	(.f64 t (-.f64 (.f64 (.f64 (.f64 x 18) y) z) (*.f64 a 4)))
5.4b	(.f64 (.f64 (*.f64 x 18) y) z)

rewrite253.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

2.8b

Rules

25×	`pow1_binary64_16507` `add-exp-log_binary64_16484` `add-cbrt-cube_binary64_16482`
13×	`pow-prod-down_binary64_16517` `prod-exp_binary64_16495` `cbrt-unprod_binary64_16479`
12×	`associate-r_binary64_16386`
11×	`add-sqr-sqrt_binary64_16468`
9×	`add-cube-cbrt_binary64_16481` `*-un-lft-identity_binary64_16446`
6×	`associate-l_binary64_16387`
4×	`add-log-exp_binary64_16485` `*-commutative_binary64_16377`
2×	`sub-neg_binary64_16439` `distribute-rgt-in_binary64_16396` `cancel-sign-sub-inv_binary64_16412` `distribute-lft-in_binary64_16395` `associate-*r/_binary64_16388`
1×	`unswap-sqr_binary64_16414` `flip3--_binary64_16450` `flip--_binary64_16421`

Counts

4 → 81

Calls

4 calls:

11.0ms	(.f64 t (-.f64 (.f64 (.f64 (.f64 x 18) y) z) (*.f64 a 4)))
7.0ms	(.f64 (.f64 (*.f64 x 18) y) z)
6.0ms	(.f64 (.f64 j 27) k)
5.0ms	(.f64 (.f64 x 18) y)

Compiler

Compiled 2662 to 1616 computations (39.3% saved)

series1.0s (3.4%)

Error

1.7b

Counts

4 → 48

Calls

4 calls:

644.0ms	(.f64 t (-.f64 (.f64 (.f64 (.f64 x 18) y) z) (*.f64 a 4)))
182.0ms	(.f64 (.f64 (*.f64 x 18) y) z)
91.0ms	(.f64 (.f64 j 27) k)
86.0ms	(.f64 (.f64 x 18) y)

Compiler

Compiled 2640 to 2460 computations (6.8% saved)

simplify65.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5160	1684

prune210.0ms (0.7%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	119	10	129
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	120	10	130

Error

1.7b

Counts

130 → 10

Compiler

Compiled 2512 to 1552 computations (38.2% saved)

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 x (.f64 18 y))
0.2b	(.f64 (.f64 j 27) k)
2.6b	(.f64 t (-.f64 (.f64 (.f64 x (.f64 18 y)) z) (*.f64 a 4)))
5.4b	(.f64 (.f64 x (*.f64 18 y)) z)

rewrite277.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

1.7b

Rules

25×	`pow1_binary64_16507` `add-exp-log_binary64_16484` `add-cbrt-cube_binary64_16482`
13×	`pow-prod-down_binary64_16517` `prod-exp_binary64_16495` `cbrt-unprod_binary64_16479`
11×	`add-sqr-sqrt_binary64_16468`
10×	`associate-r_binary64_16386`
9×	`add-cube-cbrt_binary64_16481` `*-un-lft-identity_binary64_16446`
8×	`associate-l_binary64_16387`
4×	`add-log-exp_binary64_16485` `*-commutative_binary64_16377`
2×	`sub-neg_binary64_16439` `distribute-rgt-in_binary64_16396` `cancel-sign-sub-inv_binary64_16412` `distribute-lft-in_binary64_16395` `associate-*r/_binary64_16388`
1×	`unswap-sqr_binary64_16414` `flip3--_binary64_16450` `flip--_binary64_16421`

Counts

4 → 81

Calls

4 calls:

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

Compiler

Compiled 2631 to 1597 computations (39.3% saved)

series1.1s (3.5%)

Error

1.7b

Counts

4 → 48

Calls

4 calls:

670.0ms	(.f64 t (-.f64 (.f64 (.f64 x (.f64 18 y)) z) (*.f64 a 4)))
191.0ms	(.f64 (.f64 x (*.f64 18 y)) z)
91.0ms	(.f64 (.f64 j 27) k)
85.0ms	(.f64 x (.f64 18 y))

Compiler

Compiled 2640 to 2460 computations (6.8% saved)

simplify65.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4942	1685
1	4942	1685

prune219.0ms (0.7%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	123	6	129
Fresh	6	3	9
Picked	1	0	1
Done	0	0	0
Total	130	9	139

Error

1.7b

Counts

139 → 9

Compiler

Compiled 2449 to 1497 computations (38.9% saved)

localize27.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 x (.f64 18 y))
0.3b	(.f64 27 (.f64 k j))
2.6b	(.f64 t (-.f64 (.f64 (.f64 x (.f64 18 y)) z) (*.f64 a 4)))
5.4b	(.f64 (.f64 x (*.f64 18 y)) z)

rewrite271.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

1.7b

Rules

25×	`pow1_binary64_16507` `add-exp-log_binary64_16484` `add-cbrt-cube_binary64_16482`
13×	`pow-prod-down_binary64_16517` `prod-exp_binary64_16495` `cbrt-unprod_binary64_16479`
11×	`add-sqr-sqrt_binary64_16468`
10×	`associate-l_binary64_16387`
9×	`add-cube-cbrt_binary64_16481` `*-un-lft-identity_binary64_16446`
8×	`associate-r_binary64_16386`
4×	`add-log-exp_binary64_16485` `*-commutative_binary64_16377`
2×	`sub-neg_binary64_16439` `distribute-rgt-in_binary64_16396` `cancel-sign-sub-inv_binary64_16412` `distribute-lft-in_binary64_16395` `associate-*r/_binary64_16388`
1×	`unswap-sqr_binary64_16414` `flip3--_binary64_16450` `flip--_binary64_16421`

Counts

4 → 81

Calls

4 calls:

11.0ms	(.f64 t (-.f64 (.f64 (.f64 x (.f64 18 y)) z) (*.f64 a 4)))
7.0ms	(.f64 (.f64 x (*.f64 18 y)) z)
5.0ms	(.f64 x (.f64 18 y))
5.0ms	(.f64 27 (.f64 k j))

Compiler

Compiled 2600 to 1514 computations (41.8% saved)

series1.1s (3.4%)

Error

1.7b

Counts

4 → 48

Calls

4 calls:

677.0ms	(.f64 t (-.f64 (.f64 (.f64 x (.f64 18 y)) z) (*.f64 a 4)))
189.0ms	(.f64 (.f64 x (*.f64 18 y)) z)
82.0ms	(.f64 x (.f64 18 y))
79.0ms	(.f64 27 (.f64 k j))

Compiler

Compiled 2640 to 2453 computations (7.1% saved)

simplify83.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5067	1683

prune214.0ms (0.7%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	127	2	129
Fresh	1	7	8
Picked	1	0	1
Done	0	0	0
Total	129	9	138

Error

1.7b

Counts

138 → 9

Compiler

Compiled 2349 to 1394 computations (40.7% saved)

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 x (.f64 18 y))
0.2b	(.f64 j (.f64 27 k))
2.6b	(.f64 t (-.f64 (.f64 (.f64 x (.f64 18 y)) z) (*.f64 a 4)))
5.4b	(.f64 (.f64 x (*.f64 18 y)) z)

rewrite266.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

1.7b

Rules

25×	`pow1_binary64_16507` `add-exp-log_binary64_16484` `add-cbrt-cube_binary64_16482`
13×	`pow-prod-down_binary64_16517` `prod-exp_binary64_16495` `cbrt-unprod_binary64_16479`
11×	`add-sqr-sqrt_binary64_16468`
10×	`associate-l_binary64_16387`
9×	`add-cube-cbrt_binary64_16481` `*-un-lft-identity_binary64_16446`
8×	`associate-r_binary64_16386`
4×	`add-log-exp_binary64_16485` `*-commutative_binary64_16377`
2×	`sub-neg_binary64_16439` `distribute-rgt-in_binary64_16396` `cancel-sign-sub-inv_binary64_16412` `distribute-lft-in_binary64_16395` `associate-*r/_binary64_16388`
1×	`unswap-sqr_binary64_16414` `flip3--_binary64_16450` `flip--_binary64_16421`

Counts

4 → 81

Calls

4 calls:

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

Compiler

Compiled 2600 to 1578 computations (39.3% saved)

series1.1s (3.5%)

Error

1.7b

Counts

4 → 48

Calls

4 calls:

679.0ms	(.f64 t (-.f64 (.f64 (.f64 x (.f64 18 y)) z) (*.f64 a 4)))
186.0ms	(.f64 (.f64 x (*.f64 18 y)) z)
84.0ms	(.f64 j (.f64 27 k))
83.0ms	(.f64 x (.f64 18 y))

Compiler

Compiled 2640 to 2460 computations (6.8% saved)

simplify79.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4916	1683
1	4916	1683

prune212.0ms (0.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	129	0	129
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	129	9	138

Error

1.7b

Counts

138 → 9

Compiler

Compiled 2160 to 1230 computations (43.1% saved)

regimes16.5s (54%)

Accuracy

Total 2.2b remaining (50.9%)

Threshold costs 0b (0%)

Compiler

Compiled 200196 to 185868 computations (7.2% saved)

bsearch210.0ms (0.7%)

Steps

Iters	Range		Point
7	3.481457959632253e+102	2.5298271081093693e+104	3.8074704287694904e+102
9	-4.7356547056003466e+76	-2.3919403662553855e+71	-1.006219860066541e+76

Compiler

Compiled 1 to 10 computations (-900% saved)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	242	129
1	242	129

end104.0ms (0.3%)

Remove

(sort j k)

(sort b c)

Compiler

Compiled 783 to 567 computations (27.6% saved)

sample3.4s (11.3%)

Algorithm

1×

intervals

Results

774.0ms	8000×	body	128	valid
763.0ms	8129×	body	128	invalid

Compiler

Compiled 497 to 455 computations (8.5% saved)

Details

analyze3.2s (10.6%)

sample128.0ms (0.4%)

simplify424.0ms (1.4%)

prune6.0ms (0%)

localize25.0ms (0.1%)

rewrite253.0ms (0.8%)

series1.0s (3.4%)

simplify65.0ms (0.2%)

prune210.0ms (0.7%)

localize24.0ms (0.1%)

rewrite277.0ms (0.9%)

series1.1s (3.5%)

simplify65.0ms (0.2%)

prune219.0ms (0.7%)

localize27.0ms (0.1%)

rewrite271.0ms (0.9%)

series1.1s (3.4%)

simplify83.0ms (0.3%)

prune214.0ms (0.7%)

localize24.0ms (0.1%)

rewrite266.0ms (0.9%)

series1.1s (3.5%)

simplify79.0ms (0.3%)

prune212.0ms (0.7%)

regimes16.5s (54%)

bsearch210.0ms (0.7%)

simplify6.0ms (0%)

end104.0ms (0.3%)

sample3.4s (11.3%)

Profiling