Details

sample37.0ms

Algorithm

intervals

Results

11.0ms	256×	body	80	valid
6.0ms	263×	body	80	nan

simplify159.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	21	6
1	61	6
2	192	6
3	649	6
4	1602	6
5	2720	6
6	3667	6
7	4387	6
8	4711	6
9	4956	6
10	5001	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 (* (+ y 0.5) (log y))) y) z)
0.0b	(- x (* (+ y 0.5) (log y)))
0.1b	(+ (- x (* (+ y 0.5) (log y))) y)
0.1b	(* (+ y 0.5) (log y))

rewrite166.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

113.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
6.0ms	(- x (* (+ y 0.5) (log y)))
22.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
21.0ms	(* (+ y 0.5) (log y))

series617.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
45.0ms	(- x (* (+ y 0.5) (log y)))
44.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
475.0ms	(* (+ y 0.5) (log y))

simplify52.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	446	640
1	1624	599
2	5001	591

prune237.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

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)

rewrite19.0ms

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:

11.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
4.0ms	(cbrt y)

series786.0ms

Counts

4 → 12

Calls

4 calls:

217.0ms	(* (cbrt y) (cbrt y))
187.0ms	(cbrt y)
191.0ms	(cbrt y)
190.0ms	(cbrt y)

simplify99.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (94.0ms)

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

prune304.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (- x (* (log (exp (* 2/3 (log y)))) (+ y 0.5))) (* (+ y 0.5) (log (cbrt y))))
0.4b	(* 2/3 (log y))
0.5b	(cbrt y)
5.1b	(exp (* 2/3 (log y)))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

24×	`log-prod`
17×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
12×	`distribute-rgt-in` `distribute-lft-in` `associate--r+`
11×	`add-log-exp`
9×	`cbrt-prod`
7×	`pow1`
6×	`add-exp-log` `exp-sum` `add-cbrt-cube`
4×	`associate-r` `associate-*l/` `frac-sub`
3×	`flip3--` `diff-log` `associate-l` `flip--`
2×	`sub-neg` `flip3-+` `associate--l+` `flip-+`
1×	`associate--l-` `exp-prod` `exp-to-pow` `pow1/3` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `rem-exp-log` `unswap-sqr`

Counts

4 → 84

Calls

4 calls:

31.0ms	(- (- x (* (log (exp (* 2/3 (log y)))) (+ y 0.5))) (* (+ y 0.5) (log (cbrt y))))
12.0ms	(* 2/3 (log y))
1.0ms	(cbrt y)
5.0ms	(exp (* 2/3 (log y)))

series684.0ms

Counts

4 → 12

Calls

4 calls:

160.0ms	(- (- x (* (log (exp (* 2/3 (log y)))) (+ y 0.5))) (* (+ y 0.5) (log (cbrt y))))
145.0ms	(* 2/3 (log y))
197.0ms	(cbrt y)
181.0ms	(exp (* 2/3 (log y)))

simplify79.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (69.0ms)

Iter	Nodes	Cost
0	631	934
1	2444	772
2	5003	731

prune387.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
0.6b	(cbrt (cbrt y))
0.6b	(cbrt (* (cbrt y) (cbrt y)))
6.1b	(pow y 2/3)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 51

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt (cbrt y))
9.0ms	(cbrt (* (cbrt y) (cbrt y)))
3.0ms	(pow y 2/3)

series921.0ms

Counts

4 → 12

Calls

4 calls:

199.0ms	(cbrt y)
256.0ms	(cbrt (cbrt y))
282.0ms	(cbrt (* (cbrt y) (cbrt y)))
183.0ms	(pow y 2/3)

simplify67.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 3 (62.0ms)

Iter	Nodes	Cost
0	173	224
1	476	192
2	1731	179
3	5002	174

prune327.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes179.0ms

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	13	6
1	13	6

end0.0ms

sample942.0ms

Algorithm

intervals

Results

266.0ms	8036×	body	80	valid
215.0ms	8060×	body	80	nan
0.0ms	2×	body	640	valid