Details

sample15.0ms

Algorithm

intervals

Results

7.0ms

346×

body

valid

simplify70.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	3
1	22	3
2	40	3
3	83	3
4	201	3
5	572	3
6	3029	3
7	5001	3

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(exp (* (* x y) y))
0.1b	(* (* x y) y)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-log-exp`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `log1p-expm1-u`
1×	`exp-prod` `exp-to-pow` `associate-l` `*-commutative` `rem-exp-log`

Counts

2 → 32

Calls

2 calls:

2.0ms	(exp (* (* x y) y))
5.0ms	(* (* x y) y)

series65.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(exp (* (* x y) y))
30.0ms	(* (* x y) y)

simplify92.0ms

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	137	137
1	633	116
2	3158	116
3	5001	116

prune62.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (log (exp (* x (pow y 2)))))
0.0b	(exp (* x (pow y 2)))
1.3b	(log (exp (* x (pow y 2))))
9.9b	(* x (pow y 2))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
10×	`add-cube-cbrt` `*-un-lft-identity`
9×	`add-exp-log` `exp-prod`
8×	`associate-r` `add-log-exp`
6×	`pow1` `log-prod` `log-pow` `add-cbrt-cube`
4×	`expm1-log1p-u` `unpow-prod-down` `log1p-expm1-u` `unswap-sqr`
3×	`exp-to-pow` `associate-l` `exp-sum` `prod-exp`
2×	`rem-exp-log` `unpow2` `sqr-pow`
1×	`pow-to-exp` `rem-log-exp` `pow-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 76

Calls

4 calls:

3.0ms	(exp (log (exp (* x (pow y 2)))))
2.0ms	(exp (* x (pow y 2)))
2.0ms	(log (exp (* x (pow y 2))))
5.0ms	(* x (pow y 2))

series132.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(exp (log (exp (* x (pow y 2)))))
32.0ms	(exp (* x (pow y 2)))
32.0ms	(log (exp (* x (pow y 2))))
34.0ms	(* x (pow y 2))

simplify139.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 3 (134.0ms)

Iter	Nodes	Cost
0	184	341
1	623	304
2	3084	296
3	5001	289

prune186.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (* x (pow y 2)))
0.0b	(pow (cbrt (exp (* x (pow y 2)))) 2)
9.9b	(* x (pow y 2))
9.9b	(* x (pow y 2))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
16×	`associate-r`
15×	`add-exp-log`
14×	`unpow-prod-down`
13×	`add-cube-cbrt` `*-un-lft-identity`
8×	`add-cbrt-cube` `unswap-sqr`
6×	`associate-l` `prod-exp` `add-log-exp`
5×	`pow1` `unpow2` `sqr-pow`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`cbrt-prod` `pow-to-exp` `pow-unpow` `pow-exp`
2×	`pow-pow` `*-commutative` `cbrt-unprod`
1×	`exp-prod` `exp-to-pow` `pow1/3` `rem-exp-log`

Counts

4 → 94

Calls

4 calls:

2.0ms	(exp (* x (pow y 2)))
3.0ms	(pow (cbrt (exp (* x (pow y 2)))) 2)
5.0ms	(* x (pow y 2))
6.0ms	(* x (pow y 2))

series201.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(exp (* x (pow y 2)))
104.0ms	(pow (cbrt (exp (* x (pow y 2)))) 2)
34.0ms	(* x (pow y 2))
31.0ms	(* x (pow y 2))

simplify179.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	244	460
1	932	399
2	4735	388
3	5001	388

prune265.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (cbrt (cbrt (exp (* x (pow y 2))))) 4)
9.9b	(* x (pow y 2))
9.9b	(* x (pow y 2))
9.9b	(* x (pow y 2))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt`
24×	`associate-r`
21×	`unpow-prod-down`
20×	`add-exp-log`
17×	`add-cube-cbrt` `*-un-lft-identity`
12×	`unswap-sqr`
10×	`add-cbrt-cube`
9×	`cbrt-prod` `associate-l` `prod-exp`
7×	`sqr-pow`
6×	`unpow2`
5×	`pow1`
4×	`expm1-log1p-u` `pow-to-exp` `pow-exp` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `*-commutative` `cbrt-unprod`
2×	`pow-pow`
1×	`pow1/3`

Counts

4 → 113

Calls

4 calls:

4.0ms	(pow (cbrt (cbrt (exp (* x (pow y 2))))) 4)
6.0ms	(* x (pow y 2))
6.0ms	(* x (pow y 2))
5.0ms	(* x (pow y 2))

series212.0ms

Counts

4 → 12

Calls

4 calls:

118.0ms	(pow (cbrt (cbrt (exp (* x (pow y 2))))) 4)
30.0ms	(* x (pow y 2))
34.0ms	(* x (pow y 2))
30.0ms	(* x (pow y 2))

simplify151.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	237	590
1	839	530
2	3982	518
3	5002	518

prune399.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

regimes28.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	5
1	9	5

end0.0ms

sample374.0ms

Algorithm

intervals

Results

209.0ms

10702×

body

valid