Details

sample503.0ms

Algorithm

intervals

Results

159.0ms	62×	body	2560	valid
50.0ms	78×	body	1280	valid
18.0ms	55×	body	640	valid
6.0ms	26×	body	320	valid
2.0ms	14×	body	160	valid
2.0ms	21×	body	80	valid

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	13	5
1	17	5
2	19	5
3	19	5

prune4.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.2b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- x (sin x)) (- x (tan x)))
0.7b	(- x (sin x))
0.7b	(- x (tan x))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

57×	`add-sqr-sqrt` `*-un-lft-identity`
29×	`add-cube-cbrt`
25×	`times-frac`
18×	`prod-diff`
14×	`distribute-lft-out--` `difference-of-squares`
7×	`add-log-exp`
6×	`fma-neg`
5×	`add-exp-log` `associate-/r` `add-cbrt-cube` `associate-/l`
4×	`flip3--` `flip--`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
2×	`sub-neg` `diff-log` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-sub` `div-exp` `clear-num` `div-inv`

Counts

3 → 110

Calls

3 calls:

28.0ms	(/ (- x (sin x)) (- x (tan x)))
3.0ms	(- x (sin x))
5.0ms	(- x (tan x))

series172.0ms

Counts

3 → 9

Calls

3 calls:

76.0ms	(/ (- x (sin x)) (- x (tan x)))
35.0ms	(- x (sin x))
61.0ms	(- x (tan x))

simplify54.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	472	1059
1	1737	854
2	5001	854

prune238.0ms

Filtered

119 candidates to 79 candidates (66.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (sin x) (- x (tan x)))
0.6b	(- (/ x (- x (tan x))) (/ (sin x) (- x (tan x))))
0.7b	(- x (tan x))
0.7b	(- x (tan x))

rewrite135.0ms

Algorithm

rewrite-expression-head

Rules

713×	`*-un-lft-identity`
703×	`add-sqr-sqrt`
678×	`times-frac`
459×	`prod-diff`
417×	`add-cube-cbrt`
147×	`distribute-lft-out--`
141×	`difference-of-squares`
92×	`associate-/r/`
49×	`flip3--` `flip--`
46×	`div-inv`
27×	`fma-neg`
10×	`add-log-exp`
6×	`add-exp-log` `add-cbrt-cube`
5×	`associate-/r*`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
3×	`sub-neg` `distribute-rgt-out--` `diff-log` `associate-/l*`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `frac-sub` `sub-div`

Counts

4 → 588

Calls

4 calls:

7.0ms	(/ (sin x) (- x (tan x)))
68.0ms	(- (/ x (- x (tan x))) (/ (sin x) (- x (tan x))))
3.0ms	(- x (tan x))
3.0ms	(- x (tan x))

series351.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(/ (sin x) (- x (tan x)))
187.0ms	(- (/ x (- x (tan x))) (/ (sin x) (- x (tan x))))
54.0ms	(- x (tan x))
49.0ms	(- x (tan x))

simplify205.0ms

Algorithm

egg-herbie

Counts

600 → 600

Iterations

Useful iterations: 2 (79.0ms)

Iter	Nodes	Cost
0	1359	22035
1	3883	15840
2	5001	15776

prune997.0ms

Filtered

600 candidates to 256 candidates (42.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- x (sin x)) (- x (tan x)))
0.7b	(- x (sin x))
0.7b	(- x (tan x))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

57×	`add-sqr-sqrt` `*-un-lft-identity`
29×	`add-cube-cbrt`
25×	`times-frac`
18×	`prod-diff`
14×	`distribute-lft-out--` `difference-of-squares`
7×	`add-log-exp`
6×	`fma-neg`
5×	`add-exp-log` `associate-/r` `add-cbrt-cube` `associate-/l`
4×	`flip3--` `flip--`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
2×	`sub-neg` `diff-log` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-sub` `div-exp` `clear-num` `div-inv`

Counts

3 → 110

Calls

3 calls:

12.0ms	(/ (- x (sin x)) (- x (tan x)))
3.0ms	(- x (sin x))
3.0ms	(- x (tan x))

series162.0ms

Counts

3 → 9

Calls

3 calls:

78.0ms	(/ (- x (sin x)) (- x (tan x)))
30.0ms	(- x (sin x))
54.0ms	(- x (tan x))

simplify52.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	472	1059
1	1737	854
2	5001	854

prune226.0ms

Filtered

119 candidates to 78 candidates (65.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (sin x) (- x (tan x)))
0.6b	(- (/ x (- x (tan x))) (/ (sin x) (- x (tan x))))
0.7b	(- x (tan x))
0.7b	(- x (tan x))

rewrite134.0ms

Algorithm

rewrite-expression-head

Rules

713×	`*-un-lft-identity`
703×	`add-sqr-sqrt`
678×	`times-frac`
459×	`prod-diff`
417×	`add-cube-cbrt`
147×	`distribute-lft-out--`
141×	`difference-of-squares`
92×	`associate-/r/`
49×	`flip3--` `flip--`
46×	`div-inv`
27×	`fma-neg`
10×	`add-log-exp`
6×	`add-exp-log` `add-cbrt-cube`
5×	`associate-/r*`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
3×	`sub-neg` `distribute-rgt-out--` `diff-log` `associate-/l*`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `frac-sub` `sub-div`

Counts

4 → 588

Calls

4 calls:

7.0ms	(/ (sin x) (- x (tan x)))
67.0ms	(- (/ x (- x (tan x))) (/ (sin x) (- x (tan x))))
3.0ms	(- x (tan x))
3.0ms	(- x (tan x))

series349.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(/ (sin x) (- x (tan x)))
185.0ms	(- (/ x (- x (tan x))) (/ (sin x) (- x (tan x))))
49.0ms	(- x (tan x))
58.0ms	(- x (tan x))

simplify211.0ms

Algorithm

egg-herbie

Counts

600 → 600

Iterations

Useful iterations: 2 (82.0ms)

Iter	Nodes	Cost
0	1359	22035
1	3883	15840
2	5001	15776

prune1.2s

Filtered

600 candidates to 257 candidates (42.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes50.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 31.3b

bsearch70.0ms

Steps

Iters	Range		Point
7	0.0008659720100092236	0.04032056371688071	0.0266939623524641
9	-3875183.9477288676	-0.008763241487176904	-0.02600941637726964

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	20

end0.0ms

sample6.5s

Algorithm

intervals

Results

3.6s	1618×	body	2560	valid
1.9s	2771×	body	1280	valid
634.0ms	1894×	body	640	valid
208.0ms	888×	body	320	valid
71.0ms	461×	body	160	valid
33.0ms	368×	body	80	valid