Details

sample97.0ms

Algorithm

intervals

Results

36.0ms	823×	body	80	nan
9.0ms	186×	body	80	valid
7.0ms	12×	body	1280	valid
6.0ms	22×	body	640	valid
4.0ms	22×	body	320	valid
1.0ms	15×	body	160	valid

simplify23.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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: 7.9b

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)))
0.2b	(* x (log y))
5.2b	(log (- 1.0 y))

rewrite36.0ms

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:

17.0ms	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
7.0ms	(* z (log (- 1.0 y)))
4.0ms	(* x (log y))
3.0ms	(log (- 1.0 y))

series222.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
60.0ms	(* z (log (- 1.0 y)))
38.0ms	(* x (log y))
40.0ms	(log (- 1.0 y))

simplify43.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (36.0ms)

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

prune259.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 1.0 (* z y)) (* 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))))))
0.2b	(* x (log y))
8.5b	(* z (pow y 2))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
18×	`log-prod`
15×	`add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
12×	`associate-r`
11×	`add-exp-log`
9×	`distribute-rgt-in` `distribute-lft-in`
8×	`associate-+r+` `add-cbrt-cube`
7×	`pow1`
6×	`associate-+l+` `associate-l` `associate--l+`
5×	`sum-log` `unswap-sqr`
4×	`unpow-prod-down` `prod-exp`
2×	`+-commutative` `flip3-+` `diff-log` `*-commutative` `cbrt-unprod` `flip-+` `unpow2` `sqr-pow`
1×	`pow-to-exp` `associate-+r-` `sub-neg` `pow-prod-down` `pow-exp` `log-pow`

Counts

4 → 91

Calls

4 calls:

6.0ms	(+ (* 1.0 (* z y)) (* 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))

series307.0ms

Counts

4 → 12

Calls

4 calls:

112.0ms	(+ (* 1.0 (* z y)) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))
125.0ms	(+ (* x (log y)) (- (* z (log 1.0)) (+ (* 1.0 (* z y)) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))))
40.0ms	(* x (log y))
29.0ms	(* z (pow y 2))

simplify61.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	446	837
1	1821	757
2	5002	735

prune372.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt y)
0.7b	(cbrt y)
0.7b	(cbrt y)
8.5b	(* 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))

series584.0ms

Counts

4 → 12

Calls

4 calls:

174.0ms	(cbrt y)
203.0ms	(cbrt y)
177.0ms	(cbrt y)
29.0ms	(* z (pow y 2))

simplify90.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 2 (17.0ms)

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

prune371.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt y)
0.7b	(cbrt y)
5.2b	(pow (/ 1 y) -1/3)
8.5b	(* z (pow y 2))

rewrite23.0ms

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:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
7.0ms	(pow (/ 1 y) -1/3)
11.0ms	(* z (pow y 2))

series558.0ms

Counts

4 → 12

Calls

4 calls:

176.0ms	(cbrt y)
173.0ms	(cbrt y)
176.0ms	(pow (/ 1 y) -1/3)
32.0ms	(* z (pow y 2))

simplify39.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (33.0ms)

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

prune422.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

regimes138.0ms

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	46	27
1	46	27

end0.0ms

sample2.9s

Algorithm

intervals

Results

1.0s	24472×	body	80	nan
268.0ms	5489×	body	80	valid
261.0ms	918×	body	640	valid
238.0ms	409×	body	1280	valid
131.0ms	755×	body	320	valid
50.0ms	460×	body	160	valid