Details

analyze2.8s (20.4%)

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)

sample105.0ms (0.8%)

Algorithm

1×

intervals

Results

23.0ms	256×	body	128	valid
16.0ms	210×	body	128	invalid

Compiler

Compiled 63 to 69 computations (-9.5% saved)

simplify431.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (425.0ms)

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	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

6.5b

Counts

2 → 1

Compiler

Compiled 58 to 56 computations (3.4% saved)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 j 27) k)
0.2b	(.f64 (.f64 x 4) i)
4.3b	(.f64 t (-.f64 (.f64 (.f64 (.f64 x 18) y) z) (*.f64 a 4)))
5.6b	(.f64 (.f64 (*.f64 x 18) y) z)

rewrite171.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

4.8b

Rules

25×	`pow1_binary64_19917` `add-exp-log_binary64_19894` `add-cbrt-cube_binary64_19892`
13×	`pow-prod-down_binary64_19927` `prod-exp_binary64_19905` `cbrt-unprod_binary64_19889`
12×	`associate-r_binary64_19796`
11×	`add-sqr-sqrt_binary64_19878`
9×	`add-cube-cbrt_binary64_19891` `*-un-lft-identity_binary64_19856`
6×	`associate-l_binary64_19797`
4×	`add-log-exp_binary64_19895` `*-commutative_binary64_19787`
2×	`sub-neg_binary64_19849` `distribute-rgt-in_binary64_19806` `cancel-sign-sub-inv_binary64_19822` `distribute-lft-in_binary64_19805` `associate-*r/_binary64_19798`
1×	`unswap-sqr_binary64_19824` `flip3--_binary64_19860` `flip--_binary64_19831`

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 j 27) k)
5.0ms	(.f64 (.f64 x 4) i)

Compiler

Compiled 2941 to 1790 computations (39.1% saved)

series719.0ms (5.2%)

Error

3.4b

Counts

4 → 48

Calls

4 calls:

397.0ms	(.f64 t (-.f64 (.f64 (.f64 (.f64 x 18) y) z) (*.f64 a 4)))
135.0ms	(.f64 (.f64 (*.f64 x 18) y) z)
64.0ms	(.f64 (.f64 x 4) i)
62.0ms	(.f64 (.f64 j 27) k)

Compiler

Compiled 3764 to 3021 computations (19.7% saved)

simplify73.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5089	1684

prune187.0ms (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

3.4b

Counts

130 → 6

Compiler

Compiled 4237 to 2412 computations (43.1% saved)

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 x 4) i)
0.2b	(.f64 27 (.f64 k j))
4.3b	(.f64 t (-.f64 (.f64 (.f64 (.f64 x 18) y) z) (*.f64 a 4)))
5.6b	(.f64 (.f64 (*.f64 x 18) y) z)

rewrite154.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

3.4b

Rules

25×	`pow1_binary64_19917` `add-exp-log_binary64_19894` `add-cbrt-cube_binary64_19892`
13×	`pow-prod-down_binary64_19927` `prod-exp_binary64_19905` `cbrt-unprod_binary64_19889`
11×	`add-sqr-sqrt_binary64_19878`
10×	`associate-r_binary64_19796`
9×	`add-cube-cbrt_binary64_19891` `*-un-lft-identity_binary64_19856`
8×	`associate-l_binary64_19797`
4×	`add-log-exp_binary64_19895` `*-commutative_binary64_19787`
2×	`sub-neg_binary64_19849` `distribute-rgt-in_binary64_19806` `cancel-sign-sub-inv_binary64_19822` `distribute-lft-in_binary64_19805` `associate-*r/_binary64_19798`
1×	`unswap-sqr_binary64_19824` `flip3--_binary64_19860` `flip--_binary64_19831`

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 4) i)
5.0ms	(.f64 27 (.f64 k j))

Compiler

Compiled 2941 to 1715 computations (41.7% saved)

series785.0ms (5.6%)

Error

3.4b

Counts

4 → 48

Calls

4 calls:

421.0ms	(.f64 t (-.f64 (.f64 (.f64 (.f64 x 18) y) z) (*.f64 a 4)))
132.0ms	(.f64 (.f64 (*.f64 x 18) y) z)
64.0ms	(.f64 (.f64 x 4) i)
61.0ms	(.f64 27 (.f64 k j))

Compiler

Compiled 3764 to 2979 computations (20.9% saved)

simplify71.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4947	1682
1	4947	1682

prune177.0ms (1.3%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	128	1	129
Fresh	0	5	5
Picked	1	0	1
Done	0	0	0
Total	129	6	135

Error

3.4b

Counts

135 → 6

Compiler

Compiled 4231 to 2304 computations (45.5% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 j (.f64 27 k))
0.2b	(.f64 (.f64 x 4) i)
4.3b	(.f64 t (-.f64 (.f64 (.f64 (.f64 x 18) y) z) (*.f64 a 4)))
5.6b	(.f64 (.f64 (*.f64 x 18) y) z)

rewrite151.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

3.4b

Rules

25×	`pow1_binary64_19917` `add-exp-log_binary64_19894` `add-cbrt-cube_binary64_19892`
13×	`pow-prod-down_binary64_19927` `prod-exp_binary64_19905` `cbrt-unprod_binary64_19889`
11×	`add-sqr-sqrt_binary64_19878`
10×	`associate-r_binary64_19796`
9×	`add-cube-cbrt_binary64_19891` `*-un-lft-identity_binary64_19856`
8×	`associate-l_binary64_19797`
4×	`add-log-exp_binary64_19895` `*-commutative_binary64_19787`
2×	`sub-neg_binary64_19849` `distribute-rgt-in_binary64_19806` `cancel-sign-sub-inv_binary64_19822` `distribute-lft-in_binary64_19805` `associate-*r/_binary64_19798`
1×	`unswap-sqr_binary64_19824` `flip3--_binary64_19860` `flip--_binary64_19831`

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 j (.f64 27 k))
5.0ms	(.f64 (.f64 x 4) i)

Compiler

Compiled 2941 to 1790 computations (39.1% saved)

series721.0ms (5.2%)

Error

3.4b

Counts

4 → 48

Calls

4 calls:

426.0ms	(.f64 t (-.f64 (.f64 (.f64 (.f64 x 18) y) z) (*.f64 a 4)))
126.0ms	(.f64 (.f64 (*.f64 x 18) y) z)
59.0ms	(.f64 j (.f64 27 k))
59.0ms	(.f64 (.f64 x 4) i)

Compiler

Compiled 3764 to 3021 computations (19.7% saved)

simplify74.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4980	1682
1	4980	1682

prune176.0ms (1.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	129	0	129
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	129	6	135

Error

3.4b

Counts

135 → 6

Compiler

Compiled 4202 to 2380 computations (43.4% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 j 27) k)
0.2b	(.f64 (.f64 x 4) i)
4.3b	(.f64 t (-.f64 (.f64 (.f64 x 18) (.f64 z y)) (*.f64 a 4)))
6.1b	(.f64 (.f64 x 18) (*.f64 z y))

rewrite150.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

3.4b

Rules

28×	`pow1_binary64_19917` `add-exp-log_binary64_19894` `add-cbrt-cube_binary64_19892`
15×	`pow-prod-down_binary64_19927` `prod-exp_binary64_19905` `cbrt-unprod_binary64_19889`
10×	`add-sqr-sqrt_binary64_19878` `associate-r_binary64_19796`
8×	`add-cube-cbrt_binary64_19891` `*-un-lft-identity_binary64_19856`
6×	`associate-l_binary64_19797`
4×	`add-log-exp_binary64_19895` `*-commutative_binary64_19787`
2×	`sub-neg_binary64_19849` `distribute-rgt-in_binary64_19806` `cancel-sign-sub-inv_binary64_19822` `distribute-lft-in_binary64_19805` `associate-*r/_binary64_19798`
1×	`unswap-sqr_binary64_19824` `flip3--_binary64_19860` `flip--_binary64_19831`

Counts

4 → 82

Calls

4 calls:

10.0ms	(.f64 t (-.f64 (.f64 (.f64 x 18) (.f64 z y)) (*.f64 a 4)))
6.0ms	(.f64 (.f64 x 18) (*.f64 z y))
5.0ms	(.f64 (.f64 x 4) i)
5.0ms	(.f64 (.f64 j 27) k)

Compiler

Compiled 2980 to 1711 computations (42.6% saved)

series723.0ms (5.2%)

Error

3.4b

Counts

4 → 48

Calls

4 calls:

420.0ms	(.f64 t (-.f64 (.f64 (.f64 x 18) (.f64 z y)) (*.f64 a 4)))
133.0ms	(.f64 (.f64 x 18) (*.f64 z y))
63.0ms	(.f64 (.f64 x 4) i)
59.0ms	(.f64 (.f64 j 27) k)

Compiler

Compiled 3764 to 3009 computations (20.1% saved)

simplify69.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5178	1693

prune166.0ms (1.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	130	0	130
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	130	6	136

Error

3.4b

Counts

136 → 6

Compiler

Compiled 4093 to 2201 computations (46.2% saved)

regimes1.6s (11.6%)

Accuracy

Total 2.5b remaining (54.5%)

Threshold costs 0b (0%)

Compiler

Compiled 19014 to 17649 computations (7.2% saved)

bsearch139.0ms (1%)

Steps

Iters	Range		Point
8	1.745056757682366e-156	2.8400066379045705e-153	1.2678624417890926e-154
9	-4.923187403272069e-54	-1.4918685589465383e-63	-1.745359137870568e-61

Compiler

Compiled 1 to 10 computations (-900% saved)

simplify130.0ms (0.9%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	212	129
1	212	129

Remove

(sort b c)

Compiler

Compiled 870 to 630 computations (27.6% saved)

end0.0ms (0%)

sample4.0s (28.7%)

Algorithm

1×

intervals

Results

654.0ms	8000×	body	128	valid
623.0ms	8106×	body	128	invalid

Compiler

Compiled 1337 to 1185 computations (11.4% saved)

Details

analyze2.8s (20.4%)

sample105.0ms (0.8%)

simplify431.0ms (3.1%)

prune5.0ms (0%)

localize22.0ms (0.2%)

rewrite171.0ms (1.2%)

series719.0ms (5.2%)

simplify73.0ms (0.5%)

prune187.0ms (1.3%)

localize25.0ms (0.2%)

rewrite154.0ms (1.1%)

series785.0ms (5.6%)

simplify71.0ms (0.5%)

prune177.0ms (1.3%)

localize21.0ms (0.1%)

rewrite151.0ms (1.1%)

series721.0ms (5.2%)

simplify74.0ms (0.5%)

prune176.0ms (1.3%)

localize20.0ms (0.1%)

rewrite150.0ms (1.1%)

series723.0ms (5.2%)

simplify69.0ms (0.5%)

prune166.0ms (1.2%)

regimes1.6s (11.6%)

bsearch139.0ms (1%)

simplify130.0ms (0.9%)

end0.0ms (0%)

sample4.0s (28.7%)

Profiling