Details

sample158.0ms

Algorithm

intervals

Results

69.0ms	724×	body	80	nan
20.0ms	176×	body	80	valid
11.0ms	25×	body	640	valid
11.0ms	29×	body	320	valid
11.0ms	14×	body	1280	valid
2.0ms	12×	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: 7.3b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x (log y)) (* z (log (- 1.0 y))))
0.0b	(* z (log (- 1.0 y)))
0.3b	(* x (log y))
6.1b	(log (- 1.0 y))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

37×	`log-prod`
31×	`add-sqr-sqrt`
27×	`*-un-lft-identity`
17×	`add-cube-cbrt`
16×	`distribute-rgt-in` `distribute-lft-in`
11×	`pow1`
10×	`associate-+r+`
9×	`add-exp-log`
8×	`associate-r` `add-cbrt-cube`
6×	`associate-+l+` `associate-l` `add-log-exp`
5×	`distribute-lft-out--` `difference-of-squares`
3×	`log-pow`
2×	`log-div` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `flip3--` `flip3-+` `rem-log-exp` `sum-log` `flip--` `flip-+`

Counts

4 → 97

Calls

4 calls:

11.0ms	(+ (* x (log y)) (* z (log (- 1.0 y))))
7.0ms	(* z (log (- 1.0 y)))
4.0ms	(* x (log y))
3.0ms	(log (- 1.0 y))

series233.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(+ (* x (log y)) (* z (log (- 1.0 y))))
66.0ms	(* z (log (- 1.0 y)))
42.0ms	(* x (log y))
45.0ms	(log (- 1.0 y))

simplify52.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	449	675
1	1570	619
2	5002	588

prune312.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize21.0ms

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))
7.2b	(* z (pow y 2))

rewrite67.0ms

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:

15.0ms	(* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))
37.0ms	(+ (* 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))

series265.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))
128.0ms	(+ (* x (log y)) (- (* z (log 1.0)) (+ (* 1.0 (* z y)) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))))
43.0ms	(* x (log y))
32.0ms	(* z (pow y 2))

simplify75.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 1 (17.0ms)

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

prune457.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize33.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt y)
0.7b	(cbrt y)
0.7b	(cbrt y)
7.2b	(* z (pow y 2))

rewrite9.0ms

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:

0.0ms	(cbrt y)
0.0ms	(cbrt y)
0.0ms	(cbrt y)
6.0ms	(* z (pow y 2))

series572.0ms

Counts

4 → 12

Calls

4 calls:

181.0ms	(cbrt y)
185.0ms	(cbrt y)
176.0ms	(cbrt y)
31.0ms	(* z (pow y 2))

simplify92.0ms

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

prune390.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize35.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt y)
0.7b	(cbrt y)
4.9b	(pow (/ 1 y) -1/3)
7.2b	(* z (pow y 2))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
17×	`add-cube-cbrt` `unpow-prod-down` `*-un-lft-identity`
14×	`add-exp-log`
9×	`times-frac`
8×	`associate-r`
6×	`pow1` `cbrt-prod` `add-cbrt-cube`
5×	`pow-exp`
4×	`add-log-exp` `unswap-sqr`
3×	`pow-unpow` `pow-pow` `associate-l` `prod-exp` `sqr-pow`
2×	`pow-to-exp` `pow1/3` `div-exp` `unpow2`
1×	`rec-exp` `pow-flip` `1-exp` `*-commutative` `cbrt-unprod` `div-inv` `inv-pow`

Counts

4 → 81

Calls

4 calls:

0.0ms	(cbrt y)
0.0ms	(cbrt y)
4.0ms	(pow (/ 1 y) -1/3)
6.0ms	(* z (pow y 2))

series586.0ms

Counts

4 → 12

Calls

4 calls:

184.0ms	(cbrt y)
186.0ms	(cbrt y)
184.0ms	(pow (/ 1 y) -1/3)
31.0ms	(* z (pow y 2))

simplify49.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	298	333
1	1115	293
2	5001	266

prune426.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

regimes165.0ms

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	49	28
1	49	28

end0.0ms

sample4.9s

Algorithm

intervals

Results

2.3s	24009×	body	80	nan
625.0ms	5543×	body	80	valid
398.0ms	873×	body	640	valid
308.0ms	401×	body	1280	valid
218.0ms	737×	body	320	valid
99.0ms	481×	body	160	valid