Details

sample70.0ms

Algorithm

intervals

Results

24.0ms	721×	body	80	nan
10.0ms	256×	body	80	valid

simplify33.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	6
1	48	6
2	118	6
3	247	6
4	525	6
5	732	6
6	937	6
7	1108	6
8	1128	6
9	1128	6

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite207.0ms

Algorithm

rewrite-expression-head

Rules

34×	`associate--l+`
27×	`log-prod`
25×	`*-un-lft-identity`
19×	`add-sqr-sqrt`
17×	`add-log-exp`
15×	`add-cube-cbrt`
12×	`distribute-rgt-in` `distribute-lft-in`
10×	`associate-+l+`
9×	`pow1`
7×	`diff-log`
6×	`add-exp-log` `add-cbrt-cube`
5×	`sub-neg`
4×	`associate-r` `distribute-lft-out`
3×	`associate-+r+` `associate-l` `sum-log` `log-pow` `distribute-lft-out--`
2×	`flip3--` `flip--`
1×	`+-commutative` `associate--l-` `associate-+l-` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `difference-of-squares` `unswap-sqr`

Counts

4 → 98

Calls

4 calls:

43.0ms	(- (- (* x (log y)) y) z)
143.0ms	(+ (- (- (* x (log y)) y) z) (log t))
8.0ms	(- (* x (log y)) y)
8.0ms	(* x (log y))

series164.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(- (- (* x (log y)) y) z)
43.0ms	(+ (- (- (* x (log y)) y) z) (log t))
50.0ms	(- (* x (log y)) y)
41.0ms	(* x (log y))

simplify108.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	376	617
1	1219	584
2	4747	548
3	5001	548

prune259.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.5b	(cbrt y)
0.5b	(cbrt y)
0.5b	(cbrt y)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

10.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series732.0ms

Counts

4 → 12

Calls

4 calls:

206.0ms	(* (cbrt y) (cbrt y))
180.0ms	(cbrt y)
172.0ms	(cbrt y)
173.0ms	(cbrt y)

simplify89.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (84.0ms)

Iter	Nodes	Cost
0	115	288
1	472	261
2	2959	238
3	5003	235

prune292.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (log (cbrt y)) x)
0.2b	(* (log (* (cbrt 1) (pow y 2/3))) x)
0.5b	(cbrt y)
6.0b	(pow y 2/3)

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 67

Calls

4 calls:

8.0ms	(* (log (cbrt y)) x)
21.0ms	(* (log (* (cbrt 1) (pow y 2/3))) x)
1.0ms	(cbrt y)
3.0ms	(pow y 2/3)

series549.0ms

Counts

4 → 12

Calls

4 calls:

108.0ms	(* (log (cbrt y)) x)
99.0ms	(* (log (* (cbrt 1) (pow y 2/3))) x)
177.0ms	(cbrt y)
164.0ms	(pow y 2/3)

simplify115.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 3 (109.0ms)

Iter	Nodes	Cost
0	246	345
1	870	296
2	4315	275
3	5001	270

prune327.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (* (log (cbrt y)) x))
0.6b	(cbrt (* (log (cbrt y)) x))
0.6b	(cbrt (* (log (cbrt y)) x))
6.0b	(pow y 2/3)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`pow1` `add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
3×	`cbrt-prod` `unpow-prod-down` `pow-unpow` `pow1/3`
1×	`pow-to-exp` `pow-pow` `pow-exp` `sqr-pow`

Counts

4 → 44

Calls

4 calls:

3.0ms	(cbrt (* (log (cbrt y)) x))
3.0ms	(cbrt (* (log (cbrt y)) x))
4.0ms	(cbrt (* (log (cbrt y)) x))
6.0ms	(pow y 2/3)

series671.0ms

Counts

4 → 12

Calls

4 calls:

168.0ms	(cbrt (* (log (cbrt y)) x))
163.0ms	(cbrt (* (log (cbrt y)) x))
170.0ms	(cbrt (* (log (cbrt y)) x))
170.0ms	(pow y 2/3)

simplify58.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 3 (54.0ms)

Iter	Nodes	Cost
0	162	299
1	459	266
2	1818	251
3	5003	236

prune269.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes326.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	6
1	12	6

end0.0ms

sample2.1s

Algorithm

intervals

Results

737.0ms	24138×	body	80	nan
311.0ms	8024×	body	80	valid
0.0ms	2×	body	160	valid