Details

sample98.0ms

Algorithm

intervals

Results

36.0ms	795×	body	80	nan
9.0ms	188×	body	80	valid
8.0ms	13×	body	1280	valid
7.0ms	23×	body	640	valid
3.0ms	19×	body	320	valid
2.0ms	15×	body	160	valid

simplify25.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	21	7
1	30	7
2	39	7
3	45	7
4	60	7
5	88	7
6	125	7
7	176	7
8	208	7
9	225	7
10	293	7
11	293	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.8b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
0.0b	(* z (log (- 1.0 y)))
0.3b	(* x (log y))
6.5b	(log (- 1.0 y))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
21×	`log-prod` `*-un-lft-identity`
13×	`add-cube-cbrt`
11×	`pow1`
9×	`add-exp-log` `add-log-exp`
8×	`distribute-rgt-in` `distribute-lft-in` `associate-r` `add-cbrt-cube`
6×	`associate-l`
4×	`distribute-lft-out--` `difference-of-squares`
3×	`log-pow`
2×	`log-div` `flip3--` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `unswap-sqr`
1×	`sub-neg` `rem-log-exp` `associate--l+` `sum-log`

Counts

4 → 86

Calls

4 calls:

6.0ms	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
6.0ms	(* z (log (- 1.0 y)))
4.0ms	(* x (log y))
3.0ms	(log (- 1.0 y))

series246.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
71.0ms	(* z (log (- 1.0 y)))
38.0ms	(* x (log y))
46.0ms	(log (- 1.0 y))

simplify48.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	436	628
1	1539	553
2	5002	530

prune276.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))
0.0b	(+ (* x (log y)) (- (* z (log 1.0)) (+ (* 1.0 (* z y)) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))))
0.3b	(* x (log y))
7.0b	(* z (pow y 2))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

51×	`add-exp-log`
29×	`add-sqr-sqrt`
26×	`prod-exp`
24×	`associate-r`
19×	`add-cube-cbrt` `*-un-lft-identity`
18×	`log-prod`
17×	`add-cbrt-cube`
13×	`add-log-exp`
12×	`div-exp`
9×	`pow1` `distribute-rgt-in` `distribute-lft-in` `associate-l`
8×	`pow-to-exp` `associate-+r+` `times-frac` `pow-exp`
7×	`unpow-prod-down`
6×	`associate-+l+` `associate--l+` `cbrt-unprod` `unswap-sqr`
4×	`sum-log`
3×	`*-commutative` `unpow2` `sqr-pow`
2×	`cbrt-undiv` `diff-log` `pow-prod-down`
1×	`+-commutative` `associate-+r-` `sub-neg` `flip3-+` `associate-*r/` `log-pow` `flip-+` `div-inv`

Counts

4 → 122

Calls

4 calls:

10.0ms	(* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))
11.0ms	(+ (* x (log y)) (- (* z (log 1.0)) (+ (* 1.0 (* z y)) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))))
4.0ms	(* x (log y))
6.0ms	(* z (pow y 2))

series263.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))
134.0ms	(+ (* x (log y)) (- (* z (log 1.0)) (+ (* 1.0 (* z y)) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))))
38.0ms	(* x (log y))
34.0ms	(* z (pow y 2))

simplify73.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	559	937
1	2381	840
2	5002	840

prune477.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize28.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt y)
0.7b	(cbrt y)
0.7b	(cbrt y)
7.0b	(* z (pow y 2))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
10×	`add-cube-cbrt` `*-un-lft-identity`
9×	`add-exp-log` `cbrt-prod`
8×	`associate-r`
6×	`add-cbrt-cube`
4×	`pow1` `unpow-prod-down` `add-log-exp` `unswap-sqr`
3×	`pow1/3` `associate-l` `prod-exp`
2×	`unpow2` `sqr-pow`
1×	`pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 60

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
6.0ms	(* z (pow y 2))

series576.0ms

Counts

4 → 12

Calls

4 calls:

181.0ms	(cbrt y)
180.0ms	(cbrt y)
181.0ms	(cbrt y)
33.0ms	(* z (pow y 2))

simplify89.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 2 (16.0ms)

Iter	Nodes	Cost
0	139	219
1	495	193
2	2414	183
3	5001	183

prune370.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

localize39.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt y)
0.7b	(cbrt y)
5.0b	(pow y 1/3)
7.0b	(* z (pow y 2))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
11×	`add-cube-cbrt` `*-un-lft-identity`
10×	`add-exp-log`
8×	`associate-r`
7×	`unpow-prod-down`
6×	`cbrt-prod` `add-cbrt-cube`
5×	`pow1`
4×	`add-log-exp` `unswap-sqr`
3×	`pow-unpow` `associate-l` `prod-exp` `sqr-pow`
2×	`pow-to-exp` `pow1/3` `pow-exp` `unpow2`
1×	`pow-pow` `unpow1/3` `*-commutative` `cbrt-unprod`

Counts

4 → 67

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
2.0ms	(pow y 1/3)
6.0ms	(* z (pow y 2))

series640.0ms

Counts

4 → 12

Calls

4 calls:

223.0ms	(cbrt y)
218.0ms	(cbrt y)
170.0ms	(pow y 1/3)
29.0ms	(* z (pow y 2))

simplify110.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 3 (106.0ms)

Iter	Nodes	Cost
0	195	224
1	682	188
2	3254	182
3	5002	177

prune386.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.1b

regimes328.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	22
1	37	22

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.0s	23853×	body	80	nan
272.0ms	5531×	body	80	valid
261.0ms	908×	body	640	valid
243.0ms	423×	body	1280	valid
122.0ms	717×	body	320	valid
48.0ms	458×	body	160	valid