Details

analyze5.7s (21.2%)

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)

sample205.0ms (0.8%)

Algorithm

1×

intervals

Results

49.0ms	256×	body	128	valid
37.0ms	242×	body	128	invalid

Compiler

Compiled 63 to 69 computations (-9.5% saved)

simplify832.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (821.0ms)

Iter	Nodes	Cost
0	3064	43
1	3064	43

prune11.0ms (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

4.7b

Counts

2 → 1

Compiler

Compiled 58 to 56 computations (3.4% saved)

localize44.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 x 18) y)
0.2b	(.f64 (.f64 j 27) k)
3.4b	(.f64 t (-.f64 (.f64 (.f64 (.f64 x 18) y) z) (*.f64 a 4)))
5.4b	(.f64 (.f64 (*.f64 x 18) y) z)

rewrite328.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

3.6b

Rules

25×	`pow1_binary64_19576` `add-exp-log_binary64_19553` `add-cbrt-cube_binary64_19551`
13×	`pow-prod-down_binary64_19586` `prod-exp_binary64_19564` `cbrt-unprod_binary64_19548`
12×	`associate-r_binary64_19455`
11×	`add-sqr-sqrt_binary64_19537`
9×	`add-cube-cbrt_binary64_19550` `*-un-lft-identity_binary64_19515`
6×	`associate-l_binary64_19456`
4×	`add-log-exp_binary64_19554` `*-commutative_binary64_19446`
2×	`sub-neg_binary64_19508` `distribute-rgt-in_binary64_19465` `cancel-sign-sub-inv_binary64_19481` `distribute-lft-in_binary64_19464` `associate-*r/_binary64_19457`
1×	`unswap-sqr_binary64_19483` `flip3--_binary64_19519` `flip--_binary64_19490`

Counts

4 → 81

Calls

4 calls:

19.0ms	(.f64 t (-.f64 (.f64 (.f64 (.f64 x 18) y) z) (*.f64 a 4)))
14.0ms	(.f64 (.f64 (*.f64 x 18) y) z)
9.0ms	(.f64 (.f64 x 18) y)
9.0ms	(.f64 (.f64 j 27) k)

Compiler

Compiled 2941 to 1787 computations (39.2% saved)

series1.4s (5.1%)

Error

2.8b

Counts

4 → 48

Calls

4 calls:

777.0ms	(.f64 t (-.f64 (.f64 (.f64 (.f64 x 18) y) z) (*.f64 a 4)))
245.0ms	(.f64 (.f64 (*.f64 x 18) y) z)
120.0ms	(.f64 (.f64 x 18) y)
114.0ms	(.f64 (.f64 j 27) k)

Compiler

Compiled 3764 to 3020 computations (19.8% saved)

simplify131.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (90.0ms)

Iter	Nodes	Cost
0	5160	1684

prune342.0ms (1.3%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	123	6	129
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	124	6	130

Error

2.7b

Counts

130 → 6

Compiler

Compiled 4246 to 2415 computations (43.1% saved)

localize54.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 x 18) y)
0.2b	(.f64 27 (.f64 k j))
3.4b	(.f64 t (-.f64 (.f64 (.f64 (.f64 x 18) y) z) (*.f64 a 4)))
5.4b	(.f64 (.f64 (*.f64 x 18) y) z)

rewrite279.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

2.7b

Rules

25×	`pow1_binary64_19576` `add-exp-log_binary64_19553` `add-cbrt-cube_binary64_19551`
13×	`pow-prod-down_binary64_19586` `prod-exp_binary64_19564` `cbrt-unprod_binary64_19548`
11×	`add-sqr-sqrt_binary64_19537`
10×	`associate-r_binary64_19455`
9×	`add-cube-cbrt_binary64_19550` `*-un-lft-identity_binary64_19515`
8×	`associate-l_binary64_19456`
4×	`add-log-exp_binary64_19554` `*-commutative_binary64_19446`
2×	`sub-neg_binary64_19508` `distribute-rgt-in_binary64_19465` `cancel-sign-sub-inv_binary64_19481` `distribute-lft-in_binary64_19464` `associate-*r/_binary64_19457`
1×	`unswap-sqr_binary64_19483` `flip3--_binary64_19519` `flip--_binary64_19490`

Counts

4 → 81

Calls

4 calls:

19.0ms	(.f64 t (-.f64 (.f64 (.f64 (.f64 x 18) y) z) (*.f64 a 4)))
13.0ms	(.f64 (.f64 (*.f64 x 18) y) z)
10.0ms	(.f64 (.f64 x 18) y)
9.0ms	(.f64 27 (.f64 k j))

Compiler

Compiled 2941 to 1712 computations (41.8% saved)

series1.3s (4.9%)

Error

2.7b

Counts

4 → 48

Calls

4 calls:

752.0ms	(.f64 t (-.f64 (.f64 (.f64 (.f64 x 18) y) z) (*.f64 a 4)))
247.0ms	(.f64 (.f64 (*.f64 x 18) y) z)
118.0ms	(.f64 (.f64 x 18) y)
107.0ms	(.f64 27 (.f64 k j))

Compiler

Compiled 3764 to 2978 computations (20.9% saved)

simplify130.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (89.0ms)

Iter	Nodes	Cost
0	5018	1682

prune319.0ms (1.2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	128	1	129
Fresh	1	4	5
Picked	1	0	1
Done	0	0	0
Total	130	5	135

Error

2.7b

Counts

135 → 5

Compiler

Compiled 4219 to 2284 computations (45.9% saved)

localize48.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 j 27) k)
0.2b	(.f64 18 (.f64 x y))
3.4b	(.f64 t (-.f64 (.f64 (.f64 18 (.f64 x y)) z) (*.f64 a 4)))
5.4b	(.f64 (.f64 18 (*.f64 x y)) z)

rewrite284.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

2.7b

Rules

25×	`pow1_binary64_19576` `add-exp-log_binary64_19553` `add-cbrt-cube_binary64_19551`
13×	`pow-prod-down_binary64_19586` `prod-exp_binary64_19564` `cbrt-unprod_binary64_19548`
11×	`add-sqr-sqrt_binary64_19537`
10×	`associate-r_binary64_19455`
9×	`add-cube-cbrt_binary64_19550` `*-un-lft-identity_binary64_19515`
8×	`associate-l_binary64_19456`
4×	`add-log-exp_binary64_19554` `*-commutative_binary64_19446`
2×	`sub-neg_binary64_19508` `distribute-rgt-in_binary64_19465` `cancel-sign-sub-inv_binary64_19481` `distribute-lft-in_binary64_19464` `associate-*r/_binary64_19457`
1×	`unswap-sqr_binary64_19483` `flip3--_binary64_19519` `flip--_binary64_19490`

Counts

4 → 81

Calls

4 calls:

18.0ms	(.f64 t (-.f64 (.f64 (.f64 18 (.f64 x y)) z) (*.f64 a 4)))
12.0ms	(.f64 (.f64 18 (*.f64 x y)) z)
10.0ms	(.f64 (.f64 j 27) k)
10.0ms	(.f64 18 (.f64 x y))

Compiler

Compiled 2941 to 1687 computations (42.6% saved)

series1.3s (4.7%)

Error

2.7b

Counts

4 → 48

Calls

4 calls:

709.0ms	(.f64 t (-.f64 (.f64 (.f64 18 (.f64 x y)) z) (*.f64 a 4)))
239.0ms	(.f64 (.f64 18 (*.f64 x y)) z)
114.0ms	(.f64 (.f64 j 27) k)
112.0ms	(.f64 18 (.f64 x y))

Compiler

Compiled 3764 to 3014 computations (19.9% saved)

simplify126.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (87.0ms)

Iter	Nodes	Cost
0	4961	1685
1	4961	1685

prune309.0ms (1.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	129	0	129
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	129	5	134

Error

2.7b

Counts

134 → 5

Compiler

Compiled 4190 to 2321 computations (44.6% saved)

localize46.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 x 18) y)
0.7b	(.f64 j (.f64 27 k))
3.4b	(.f64 t (-.f64 (.f64 (.f64 (.f64 x 18) y) z) (*.f64 a 4)))
5.4b	(.f64 (.f64 (*.f64 x 18) y) z)

rewrite293.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

2.7b

Rules

25×	`pow1_binary64_19576` `add-exp-log_binary64_19553` `add-cbrt-cube_binary64_19551`
13×	`pow-prod-down_binary64_19586` `prod-exp_binary64_19564` `cbrt-unprod_binary64_19548`
11×	`add-sqr-sqrt_binary64_19537`
10×	`associate-r_binary64_19455`
9×	`add-cube-cbrt_binary64_19550` `*-un-lft-identity_binary64_19515`
8×	`associate-l_binary64_19456`
4×	`add-log-exp_binary64_19554` `*-commutative_binary64_19446`
2×	`sub-neg_binary64_19508` `distribute-rgt-in_binary64_19465` `cancel-sign-sub-inv_binary64_19481` `distribute-lft-in_binary64_19464` `associate-*r/_binary64_19457`
1×	`unswap-sqr_binary64_19483` `flip3--_binary64_19519` `flip--_binary64_19490`

Counts

4 → 81

Calls

4 calls:

21.0ms	(.f64 t (-.f64 (.f64 (.f64 (.f64 x 18) y) z) (*.f64 a 4)))
14.0ms	(.f64 (.f64 (*.f64 x 18) y) z)
10.0ms	(.f64 (.f64 x 18) y)
10.0ms	(.f64 j (.f64 27 k))

Compiler

Compiled 2941 to 1787 computations (39.2% saved)

series1.4s (5%)

Error

2.7b

Counts

4 → 48

Calls

4 calls:

784.0ms	(.f64 t (-.f64 (.f64 (.f64 (.f64 x 18) y) z) (*.f64 a 4)))
258.0ms	(.f64 (.f64 (*.f64 x 18) y) z)
114.0ms	(.f64 (.f64 x 18) y)
107.0ms	(.f64 j (.f64 27 k))

Compiler

Compiled 3764 to 3020 computations (19.8% saved)

simplify118.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	5051	1682

prune321.0ms (1.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	128	1	129
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	128	6	134

Error

2.7b

Counts

134 → 6

Compiler

Compiled 4070 to 2247 computations (44.8% saved)

regimes3.5s (12.8%)

Accuracy

Total 2.0b remaining (46.5%)

Threshold costs 0b (0%)

Compiler

Compiled 26083 to 23866 computations (8.5% saved)

bsearch7.0ms (0%)

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

simplify189.0ms (0.7%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	187	116
1	187	116

Remove

(sort j k)

(sort b c)

Compiler

Compiled 624 to 448 computations (28.2% saved)

end0.0ms (0%)

sample8.2s (30.1%)

Algorithm

1×

intervals

Results

1.7s	8000×	body	128	valid
1.4s	8292×	body	128	invalid

Compiler

Compiled 1698 to 1501 computations (11.6% saved)

Details

analyze5.7s (21.2%)

sample205.0ms (0.8%)

simplify832.0ms (3.1%)

prune11.0ms (0%)

localize44.0ms (0.2%)

rewrite328.0ms (1.2%)

series1.4s (5.1%)

simplify131.0ms (0.5%)

prune342.0ms (1.3%)

localize54.0ms (0.2%)

rewrite279.0ms (1%)

series1.3s (4.9%)

simplify130.0ms (0.5%)

prune319.0ms (1.2%)

localize48.0ms (0.2%)

rewrite284.0ms (1.1%)

series1.3s (4.7%)

simplify126.0ms (0.5%)

prune309.0ms (1.1%)

localize46.0ms (0.2%)

rewrite293.0ms (1.1%)

series1.4s (5%)

simplify118.0ms (0.4%)

prune321.0ms (1.2%)

regimes3.5s (12.8%)

bsearch7.0ms (0%)

simplify189.0ms (0.7%)

end0.0ms (0%)

sample8.2s (30.1%)

Profiling