Details

sample77.0ms

Algorithm

intervals

Results

28.0ms	95×	body	1280	valid
17.0ms	92×	body	640	valid
11.0ms	257×	body	80	valid
5.0ms	39×	body	320	valid
2.0ms	27×	body	160	valid

simplify63.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	15	4
1	28	4
2	56	4
3	102	4
4	153	4
5	334	4
6	924	4
7	1912	4
8	5001	4

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(cosh x)
0.0b	(* (cosh x) (/ (sin y) y))
0.1b	(/ (sin y) y)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
19×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
13×	`associate-r`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1`
3×	`expm1-log1p-u` `cosh-def` `associate-l` `associate-/r` `log1p-expm1-u` `associate-/l` `add-log-exp`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`frac-times` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `*-commutative`

Counts

3 → 75

Calls

3 calls:

1.0ms	(cosh x)
8.0ms	(* (cosh x) (/ (sin y) y))
3.0ms	(/ (sin y) y)

series150.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(cosh x)
80.0ms	(* (cosh x) (/ (sin y) y))
27.0ms	(/ (sin y) y)

simplify46.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	303	450
1	1150	402
2	5002	380

prune208.0ms

Filtered

84 candidates to 65 candidates (77.4%)

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(log1p (* (cosh x) (/ (sin y) y)))
0.0b	(* (cosh x) (/ (sin y) y))
0.0b	(expm1 (log1p (* (cosh x) (/ (sin y) y))))
0.1b	(/ (sin y) y)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
20×	`add-cube-cbrt` `*-un-lft-identity`
19×	`times-frac`
13×	`associate-r`
11×	`add-exp-log` `add-cbrt-cube`
6×	`pow1`
5×	`expm1-log1p-u`
4×	`log1p-expm1-u` `add-log-exp`
3×	`associate-l` `associate-/r` `associate-/l`
2×	`cbrt-undiv` `cosh-def` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`frac-times` `log1p-udef` `expm1-log1p` `frac-2neg` `log1p-expm1` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `*-commutative` `expm1-udef`

Counts

4 → 87

Calls

4 calls:

0.0ms	(log1p (* (cosh x) (/ (sin y) y)))
12.0ms	(* (cosh x) (/ (sin y) y))
0.0ms	(expm1 (log1p (* (cosh x) (/ (sin y) y))))
4.0ms	(/ (sin y) y)

series388.0ms

Counts

4 → 12

Calls

4 calls:

153.0ms	(log1p (* (cosh x) (/ (sin y) y)))
79.0ms	(* (cosh x) (/ (sin y) y))
130.0ms	(expm1 (log1p (* (cosh x) (/ (sin y) y))))
27.0ms	(/ (sin y) y)

simplify70.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	577	735
1	2681	664
2	5001	664

prune309.0ms

Filtered

99 candidates to 78 candidates (78.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (sin y) (+ (exp x) (exp (* -1 x))))
0.0b	(+ (exp x) (exp (* -1 x)))
0.1b	(/ 1/2 (/ y (* (sin y) (+ (exp x) (exp (* -1 x))))))
0.2b	(/ y (* (sin y) (+ (exp x) (exp (* -1 x)))))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

42×	`times-frac`
31×	`*-un-lft-identity`
29×	`add-sqr-sqrt`
27×	`add-cube-cbrt`
20×	`add-exp-log` `add-cbrt-cube`
12×	`associate-*r/`
11×	`associate-/r/`
10×	`associate-/r*`
7×	`cbrt-undiv` `flip3-+` `div-exp` `flip-+`
6×	`pow1` `div-inv` `associate-/l*` `add-log-exp`
4×	`expm1-log1p-u` `associate-r` `log1p-expm1-u`
3×	`fma-def` `associate-l` `prod-exp` `cbrt-unprod`
2×	`frac-2neg` `clear-num` `distribute-lft-out`
1×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `sum-log` `*-commutative` `unswap-sqr`

Counts

4 → 125

Calls

4 calls:

16.0ms	(* (sin y) (+ (exp x) (exp (* -1 x))))
8.0ms	(+ (exp x) (exp (* -1 x)))
10.0ms	(/ 1/2 (/ y (* (sin y) (+ (exp x) (exp (* -1 x))))))
7.0ms	(/ y (* (sin y) (+ (exp x) (exp (* -1 x)))))

series242.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(* (sin y) (+ (exp x) (exp (* -1 x))))
21.0ms	(+ (exp x) (exp (* -1 x)))
72.0ms	(/ 1/2 (/ y (* (sin y) (+ (exp x) (exp (* -1 x))))))
99.0ms	(/ y (* (sin y) (+ (exp x) (exp (* -1 x)))))

simplify77.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	530	1418
1	2540	1257
2	5002	1253

prune404.0ms

Filtered

137 candidates to 106 candidates (77.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(log1p (* (* (cosh x) (sin y)) (/ 1 y)))
0.0b	(* (cosh x) (sin y))
0.0b	(expm1 (log1p (* (* (cosh x) (sin y)) (/ 1 y))))
0.3b	(* (* (cosh x) (sin y)) (/ 1 y))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-exp-log`
18×	`add-cbrt-cube`
16×	`associate-r`
15×	`add-sqr-sqrt`
13×	`add-cube-cbrt` `*-un-lft-identity` `prod-exp`
11×	`pow1`
9×	`times-frac`
7×	`cbrt-unprod`
5×	`expm1-log1p-u`
4×	`div-exp` `associate-l` `pow-prod-down` `associate-*l/` `log1p-expm1-u` `add-log-exp`
3×	`cosh-def`
2×	`cbrt-undiv` `rec-exp` `1-exp` `*-commutative`
1×	`frac-times` `log1p-udef` `expm1-log1p` `log1p-expm1` `associate-*r/` `un-div-inv` `div-inv` `expm1-udef` `unswap-sqr`

Counts

4 → 85

Calls

4 calls:

0.0ms	(log1p (* (* (cosh x) (sin y)) (/ 1 y)))
4.0ms	(* (cosh x) (sin y))
0.0ms	(expm1 (log1p (* (* (cosh x) (sin y)) (/ 1 y))))
13.0ms	(* (* (cosh x) (sin y)) (/ 1 y))

series443.0ms

Counts

4 → 12

Calls

4 calls:

157.0ms	(log1p (* (* (cosh x) (sin y)) (/ 1 y)))
75.0ms	(* (cosh x) (sin y))
131.0ms	(expm1 (log1p (* (* (cosh x) (sin y)) (/ 1 y))))
80.0ms	(* (* (cosh x) (sin y)) (/ 1 y))

simplify88.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (79.0ms)

Iter	Nodes	Cost
0	681	792
1	3341	686
2	5001	671

prune259.0ms

Filtered

97 candidates to 67 candidates (69.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes152.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	6
1	9	6

end0.0ms

sample2.3s

Algorithm

intervals

Results

932.0ms	2958×	body	1280	valid
475.0ms	2471×	body	640	valid
372.0ms	8368×	body	80	valid
167.0ms	1248×	body	320	valid
57.0ms	633×	body	160	valid