Details

analyze2.9s (20.9%)

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)

sample118.0ms (0.8%)

Algorithm

1×

intervals

Results

27.0ms	256×	body	128	valid
21.0ms	270×	body	128	invalid

Compiler

Compiled 63 to 69 computations (-9.5% saved)

simplify434.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (429.0ms)

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

4.9b

Counts

2 → 1

Compiler

Compiled 58 to 56 computations (3.4% saved)

localize28.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 x 18) y)
0.5b	(.f64 (.f64 j 27) k)
2.5b	(.f64 t (-.f64 (.f64 (.f64 (.f64 x 18) y) z) (*.f64 a 4)))
4.7b	(.f64 (.f64 (*.f64 x 18) y) z)

rewrite170.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

2.5b

Rules

25×	`pow1_binary64_18212` `add-exp-log_binary64_18189` `add-cbrt-cube_binary64_18187`
13×	`pow-prod-down_binary64_18222` `prod-exp_binary64_18200` `cbrt-unprod_binary64_18184`
12×	`associate-r_binary64_18091`
11×	`add-sqr-sqrt_binary64_18173`
9×	`add-cube-cbrt_binary64_18186` `*-un-lft-identity_binary64_18151`
6×	`associate-l_binary64_18092`
4×	`add-log-exp_binary64_18190` `*-commutative_binary64_18082`
2×	`sub-neg_binary64_18144` `distribute-rgt-in_binary64_18101` `cancel-sign-sub-inv_binary64_18117` `distribute-lft-in_binary64_18100` `associate-*r/_binary64_18093`
1×	`unswap-sqr_binary64_18119` `flip3--_binary64_18155` `flip--_binary64_18126`

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 18) y)
5.0ms	(.f64 (.f64 j 27) k)

Compiler

Compiled 2941 to 1787 computations (39.2% saved)

series748.0ms (5.4%)

Error

1.3b

Counts

4 → 48

Calls

4 calls:

450.0ms	(.f64 t (-.f64 (.f64 (.f64 (.f64 x 18) y) z) (*.f64 a 4)))
122.0ms	(.f64 (.f64 (*.f64 x 18) y) z)
62.0ms	(.f64 (.f64 x 18) y)
56.0ms	(.f64 (.f64 j 27) k)

Compiler

Compiled 3764 to 3020 computations (19.8% saved)

simplify70.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5160	1684

prune193.0ms (1.4%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	120	9	129
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	121	9	130

Error

1.2b

Counts

130 → 9

Compiler

Compiled 4350 to 2507 computations (42.4% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 x 18) y)
0.3b	(.f64 27 (.f64 k j))
2.5b	(.f64 t (-.f64 (.f64 (.f64 (.f64 x 18) y) z) (*.f64 a 4)))
4.7b	(.f64 (.f64 (*.f64 x 18) y) z)

rewrite162.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

1.2b

Rules

25×	`pow1_binary64_18212` `add-exp-log_binary64_18189` `add-cbrt-cube_binary64_18187`
13×	`pow-prod-down_binary64_18222` `prod-exp_binary64_18200` `cbrt-unprod_binary64_18184`
11×	`add-sqr-sqrt_binary64_18173`
10×	`associate-r_binary64_18091`
9×	`add-cube-cbrt_binary64_18186` `*-un-lft-identity_binary64_18151`
8×	`associate-l_binary64_18092`
4×	`add-log-exp_binary64_18190` `*-commutative_binary64_18082`
2×	`sub-neg_binary64_18144` `distribute-rgt-in_binary64_18101` `cancel-sign-sub-inv_binary64_18117` `distribute-lft-in_binary64_18100` `associate-*r/_binary64_18093`
1×	`unswap-sqr_binary64_18119` `flip3--_binary64_18155` `flip--_binary64_18126`

Counts

4 → 81

Calls

4 calls:

13.0ms	(.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 18) y)
5.0ms	(.f64 27 (.f64 k j))

Compiler

Compiled 2941 to 1712 computations (41.8% saved)

series699.0ms (5%)

Error

1.2b

Counts

4 → 48

Calls

4 calls:

407.0ms	(.f64 t (-.f64 (.f64 (.f64 (.f64 x 18) y) z) (*.f64 a 4)))
122.0ms	(.f64 (.f64 (*.f64 x 18) y) z)
59.0ms	(.f64 (.f64 x 18) y)
56.0ms	(.f64 27 (.f64 k j))

Compiler

Compiled 3764 to 2978 computations (20.9% saved)

simplify68.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5018	1682

prune184.0ms (1.3%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	127	2	129
Fresh	2	6	8
Picked	1	0	1
Done	0	0	0
Total	130	8	138

Error

1.2b

Counts

138 → 8

Compiler

Compiled 4312 to 2371 computations (45% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 x 18) y)
0.2b	(.f64 j (.f64 27 k))
2.5b	(.f64 t (-.f64 (.f64 (.f64 (.f64 x 18) y) z) (*.f64 a 4)))
4.7b	(.f64 (.f64 (*.f64 x 18) y) z)

rewrite158.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

1.2b

Rules

25×	`pow1_binary64_18212` `add-exp-log_binary64_18189` `add-cbrt-cube_binary64_18187`
13×	`pow-prod-down_binary64_18222` `prod-exp_binary64_18200` `cbrt-unprod_binary64_18184`
11×	`add-sqr-sqrt_binary64_18173`
10×	`associate-r_binary64_18091`
9×	`add-cube-cbrt_binary64_18186` `*-un-lft-identity_binary64_18151`
8×	`associate-l_binary64_18092`
4×	`add-log-exp_binary64_18190` `*-commutative_binary64_18082`
2×	`sub-neg_binary64_18144` `distribute-rgt-in_binary64_18101` `cancel-sign-sub-inv_binary64_18117` `distribute-lft-in_binary64_18100` `associate-*r/_binary64_18093`
1×	`unswap-sqr_binary64_18119` `flip3--_binary64_18155` `flip--_binary64_18126`

Counts

4 → 81

Calls

4 calls:

10.0ms	(.f64 t (-.f64 (.f64 (.f64 (.f64 x 18) y) z) (*.f64 a 4)))
8.0ms	(.f64 (.f64 x 18) y)
7.0ms	(.f64 (.f64 (*.f64 x 18) y) z)
5.0ms	(.f64 j (.f64 27 k))

Compiler

Compiled 2941 to 1787 computations (39.2% saved)

series700.0ms (5%)

Error

1.2b

Counts

4 → 48

Calls

4 calls:

400.0ms	(.f64 t (-.f64 (.f64 (.f64 (.f64 x 18) y) z) (*.f64 a 4)))
122.0ms	(.f64 (.f64 (*.f64 x 18) y) z)
63.0ms	(.f64 (.f64 x 18) y)
60.0ms	(.f64 j (.f64 27 k))

Compiler

Compiled 3764 to 3020 computations (19.8% saved)

simplify66.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5051	1682

prune179.0ms (1.3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	128	1	129
Fresh	1	6	7
Picked	1	0	1
Done	0	0	0
Total	130	7	137

Error

1.2b

Counts

137 → 7

Compiler

Compiled 4283 to 2447 computations (42.9% saved)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (sqrt.f64 27) (.f64 (*.f64 k j) (sqrt.f64 27)))
0.3b	(.f64 (.f64 k j) (sqrt.f64 27))
2.5b	(.f64 t (-.f64 (.f64 (.f64 (.f64 x 18) y) z) (*.f64 a 4)))
4.7b	(.f64 (.f64 (*.f64 x 18) y) z)

rewrite199.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

1.2b

Rules

29×	`pow1_binary64_18212` `add-exp-log_binary64_18189` `add-cbrt-cube_binary64_18187`
16×	`pow-prod-down_binary64_18222` `prod-exp_binary64_18200` `cbrt-unprod_binary64_18184`
13×	`add-sqr-sqrt_binary64_18173` `associate-r_binary64_18091`
11×	`add-cube-cbrt_binary64_18186` `-un-lft-identity_binary64_18151` `associate-l*_binary64_18092`
6×	`sqrt-prod_binary64_18167`
4×	`add-log-exp_binary64_18190` `*-commutative_binary64_18082`
2×	`sub-neg_binary64_18144` `distribute-rgt-in_binary64_18101` `cancel-sign-sub-inv_binary64_18117` `distribute-lft-in_binary64_18100` `associate-*r/_binary64_18093`
1×	`unswap-sqr_binary64_18119` `flip3--_binary64_18155` `flip--_binary64_18126`

Counts

4 → 90

Calls

4 calls:

14.0ms	(.f64 (sqrt.f64 27) (.f64 (*.f64 k j) (sqrt.f64 27)))
10.0ms	(.f64 t (-.f64 (.f64 (.f64 (.f64 x 18) y) z) (*.f64 a 4)))
7.0ms	(.f64 (.f64 (*.f64 x 18) y) z)
7.0ms	(.f64 (.f64 k j) (sqrt.f64 27))

Compiler

Compiled 3673 to 2320 computations (36.8% saved)

series833.0ms (6%)

Error

1.2b

Counts

4 → 48

Calls

4 calls:

404.0ms	(.f64 t (-.f64 (.f64 (.f64 (.f64 x 18) y) z) (*.f64 a 4)))
135.0ms	(.f64 (sqrt.f64 27) (.f64 (*.f64 k j) (sqrt.f64 27)))
133.0ms	(.f64 (.f64 (*.f64 x 18) y) z)
98.0ms	(.f64 (.f64 k j) (sqrt.f64 27))

Compiler

Compiled 4274 to 3505 computations (18% saved)

simplify73.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5004	1832

prune214.0ms (1.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	138	0	138
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	138	7	145

Error

1.2b

Counts

145 → 7

Compiler

Compiled 4833 to 2862 computations (40.8% saved)

regimes1.5s (10.5%)

Accuracy

Total 2.5b remaining (53.1%)

Threshold costs 0b (0%)

Compiler

Compiled 19019 to 18275 computations (3.9% saved)

bsearch107.0ms (0.8%)

Steps

Iters	Range		Point
4	3.5053862411702737e-199	5.616307419287338e-199	5.529242434844725e-199
9	-5.041968411051885e-57	-3.1887932723884683e-62	-1.4212612328332042e-59

Compiler

Compiled 1 to 10 computations (-900% saved)

simplify75.0ms (0.5%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	204	88
1	204	88

Remove

(sort b c)

(sort y z)

Compiler

Compiled 472 to 376 computations (20.3% saved)

end0.0ms (0%)

sample4.0s (28.8%)

Algorithm

1×

intervals

Results

664.0ms	7981×	body	128	invalid
661.0ms	8000×	body	128	valid

Compiler

Compiled 1289 to 1186 computations (8% saved)

Details

analyze2.9s (20.9%)

sample118.0ms (0.8%)

simplify434.0ms (3.1%)

prune5.0ms (0%)

localize28.0ms (0.2%)

rewrite170.0ms (1.2%)

series748.0ms (5.4%)

simplify70.0ms (0.5%)

prune193.0ms (1.4%)

localize20.0ms (0.1%)

rewrite162.0ms (1.2%)

series699.0ms (5%)

simplify68.0ms (0.5%)

prune184.0ms (1.3%)

localize21.0ms (0.1%)

rewrite158.0ms (1.1%)

series700.0ms (5%)

simplify66.0ms (0.5%)

prune179.0ms (1.3%)

localize22.0ms (0.2%)

rewrite199.0ms (1.4%)

series833.0ms (6%)

simplify73.0ms (0.5%)

prune214.0ms (1.5%)

regimes1.5s (10.5%)

bsearch107.0ms (0.8%)

simplify75.0ms (0.5%)

end0.0ms (0%)

sample4.0s (28.8%)

Profiling