Details

sample52.0ms

Algorithm

intervals

Results

17.0ms	268×	body	80	nan
17.0ms	257×	body	80	valid

simplify147.0ms

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
0.1b	(+ (- x (* (+ y 0.5) (log y))) y)
0.2b	(* (+ y 0.5) (log y))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 63

Calls

3 calls:

55.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
9.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
11.0ms	(* (+ y 0.5) (log y))

series35.0ms

Counts

3 → 9

Calls

3 calls:

15.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
11.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
9.0ms	(* (+ y 0.5) (log y))

simplify41.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	375	512
1	1297	467
2	5001	453

prune461.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ y 0.5) (* 2 (log (cbrt y))))
0.3b	(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (cbrt y)) (+ y 0.5)))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

49×	`distribute-rgt-in` `distribute-lft-in`
48×	`log-prod`
30×	`cbrt-prod`
25×	`*-un-lft-identity`
24×	`associate-+l+`
23×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`flip3-+` `associate-*l/` `flip-+` `add-log-exp`
4×	`associate-r/` `associate-l*` `frac-add`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`associate-+r+` `pow1/3`
1×	`+-commutative` `associate-r` `sum-log` `*-commutative` `distribute-lft-out`

Counts

4 → 108

Calls

4 calls:

17.0ms	(* (+ y 0.5) (* 2 (log (cbrt y))))
14.0ms	(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (cbrt y)) (+ y 0.5)))
0.0ms	(cbrt y)
1.0ms	(cbrt y)

series135.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* (+ y 0.5) (* 2 (log (cbrt y))))
69.0ms	(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (cbrt y)) (+ y 0.5)))
12.0ms	(cbrt y)
9.0ms	(cbrt y)

simplify76.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	640	1101
1	2507	971
2	5003	939

prune1.1s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 44

Calls

4 calls:

0.0ms	(cbrt y)
0.0ms	(cbrt y)
0.0ms	(cbrt y)
1.0ms	(cbrt y)

series38.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(cbrt y)
9.0ms	(cbrt y)
9.0ms	(cbrt y)
10.0ms	(cbrt y)

simplify129.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	40	156
1	81	144
2	193	136
3	696	136
4	4103	136
5	5002	136

prune859.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (- x (* (log (pow (/ 1 y) -1/3)) (+ 1.5 (* 3 y)))) y) z)
0.1b	(+ (- x (* (log (pow (/ 1 y) -1/3)) (+ 1.5 (* 3 y)))) y)
0.3b	(* (log (pow (/ 1 y) -1/3)) (+ 1.5 (* 3 y)))
5.2b	(pow (/ 1 y) -1/3)

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity`
18×	`add-sqr-sqrt` `add-log-exp`
14×	`add-cube-cbrt`
13×	`unpow-prod-down`
11×	`add-exp-log`
9×	`times-frac`
8×	`pow1`
6×	`add-cbrt-cube`
5×	`diff-log`
4×	`associate-l` `pow-exp` `sum-log`
3×	`pow-unpow` `pow-pow` `associate-r`
2×	`associate-+l-` `sub-neg` `associate-+l+` `flip3-+` `associate-*r/` `div-exp` `flip-+` `distribute-lft-out` `distribute-lft-out--`
1×	`+-commutative` `associate--l-` `distribute-rgt-in` `pow-to-exp` `rec-exp` `flip3--` `pow-flip` `distribute-lft-in` `1-exp` `pow-prod-down` `prod-exp` `associate--l+` `log-pow` `*-commutative` `flip--` `cbrt-unprod` `div-inv` `inv-pow` `difference-of-squares` `unswap-sqr` `sqr-pow`

Counts

4 → 90

Calls

4 calls:

56.0ms	(- (+ (- x (* (log (pow (/ 1 y) -1/3)) (+ 1.5 (* 3 y)))) y) z)
9.0ms	(+ (- x (* (log (pow (/ 1 y) -1/3)) (+ 1.5 (* 3 y)))) y)
8.0ms	(* (log (pow (/ 1 y) -1/3)) (+ 1.5 (* 3 y)))
4.0ms	(pow (/ 1 y) -1/3)

series98.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(- (+ (- x (* (log (pow (/ 1 y) -1/3)) (+ 1.5 (* 3 y)))) y) z)
23.0ms	(+ (- x (* (log (pow (/ 1 y) -1/3)) (+ 1.5 (* 3 y)))) y)
36.0ms	(* (log (pow (/ 1 y) -1/3)) (+ 1.5 (* 3 y)))
9.0ms	(pow (/ 1 y) -1/3)

simplify67.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	556	873
1	2310	779
2	5002	754

prune734.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes480.0ms

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

sample1.3s

Algorithm

intervals

Results

525.0ms	8036×	body	80	valid
447.0ms	7898×	body	80	nan