Details

sample17.0ms

Algorithm

intervals

Results

7.0ms

268×

body

valid

simplify73.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	6
1	65	6
2	132	6
3	208	6
4	250	6
5	287	6
6	307	6
7	347	6
8	420	6
9	573	6
10	1883	6
11	5001	6

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.3b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ t1 u) (+ t1 u))
18.9b	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity`
16×	`add-exp-log` `add-cbrt-cube`
12×	`flip3-+` `flip-+`
9×	`pow1`
8×	`add-sqr-sqrt` `frac-times` `associate-/r/`
6×	`add-cube-cbrt` `swap-sqr` `distribute-lft-out`
5×	`prod-exp` `cbrt-unprod`
4×	`cbrt-undiv` `associate-r/` `div-exp` `associate-r` `associate-l` `associate-l/`
2×	`add-log-exp`
1×	`distribute-lft-neg-out` `pow2` `distribute-rgt-in` `frac-2neg` `distribute-lft-in` `times-frac` `pow-plus` `distribute-frac-neg` `pow-prod-down` `clear-num` `associate-/r` `pow-sqr` `-commutative` `pow-prod-up` `div-inv` `associate-/l*` `unswap-sqr`

Counts

2 → 70

Calls

2 calls:

35.0ms	(* (+ t1 u) (+ t1 u))
21.0ms	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series81.0ms

Counts

2 → 6

Calls

2 calls:

13.0ms	(* (+ t1 u) (+ t1 u))
68.0ms	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

simplify57.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	381	490
1	2039	406
2	5001	402

prune113.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- t1) (+ t1 u))
1.0b	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

107×	`*-un-lft-identity`
96×	`times-frac`
71×	`add-sqr-sqrt`
59×	`add-cube-cbrt`
46×	`associate-l`
27×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
24×	`distribute-lft-out`
18×	`associate-r`
16×	`add-exp-log` `add-cbrt-cube`
10×	`associate-/l*`
9×	`neg-mul-1`
6×	`associate-/r/`
5×	`cbrt-undiv` `div-exp`
4×	`pow1` `prod-exp` `associate-/r*` `cbrt-unprod` `unswap-sqr`
3×	`flip3-+` `flip-+` `div-inv`
2×	`distribute-frac-neg` `add-log-exp`
1×	`distribute-lft-neg-out` `neg-sub0` `frac-times` `frac-2neg` `div-sub` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `*-commutative`

Counts

2 → 159

Calls

2 calls:

13.0ms	(/ (- t1) (+ t1 u))
66.0ms	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

series143.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(/ (- t1) (+ t1 u))
107.0ms	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

simplify57.0ms

Algorithm

egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	580	1131
1	2558	1057
2	5001	1053

prune283.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (+ t1 u))
0.5b	(* (* (- t1) (/ v (+ t1 u))) (/ 1 (+ t1 u)))
7.3b	(* (- t1) (/ v (+ t1 u)))

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

51×	`add-exp-log` `*-un-lft-identity`
37×	`times-frac`
36×	`add-sqr-sqrt` `associate-r`
31×	`add-cube-cbrt` `add-cbrt-cube`
22×	`prod-exp`
13×	`div-exp`
12×	`cbrt-unprod`
11×	`pow1` `associate-l`
10×	`distribute-lft-out`
7×	`cbrt-undiv`
6×	`associate-/r/`
4×	`rec-exp` `1-exp` `associate-r/` `pow-prod-down` `associate-/r`
3×	`distribute-lft-neg-out` `distribute-lft-neg-in` `distribute-rgt-neg-in` `flip3-+` `flip-+` `div-inv` `associate-/l*` `add-log-exp`
2×	`*-commutative` `unswap-sqr`
1×	`frac-times` `neg-mul-1` `pow-flip` `frac-2neg` `associate-*l/` `clear-num` `un-div-inv` `inv-pow`

Counts

3 → 134

Calls

3 calls:

11.0ms	(/ 1 (+ t1 u))
60.0ms	(* (* (- t1) (/ v (+ t1 u))) (/ 1 (+ t1 u)))
34.0ms	(* (- t1) (/ v (+ t1 u)))

series142.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(/ 1 (+ t1 u))
63.0ms	(* (* (- t1) (/ v (+ t1 u))) (/ 1 (+ t1 u)))
46.0ms	(* (- t1) (/ v (+ t1 u)))

simplify72.0ms

Algorithm

egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	533	881
1	3244	740
2	5001	705

prune206.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt t1)
0.5b	(cbrt t1)
0.6b	(* (cbrt t1) (cbrt t1))
1.0b	(* (* (* (cbrt t1) (cbrt t1)) (/ (- (cbrt t1)) (+ t1 u))) (/ v (+ t1 u)))

rewrite152.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-exp-log`
37×	`add-cbrt-cube`
30×	`add-sqr-sqrt`
28×	`*-un-lft-identity`
24×	`associate-r`
23×	`prod-exp` `cbrt-unprod`
22×	`cbrt-prod` `add-cube-cbrt`
20×	`pow1`
12×	`times-frac`
9×	`cbrt-undiv` `div-exp`
8×	`pow1/3` `pow-prod-down`
7×	`associate-l`
6×	`swap-sqr`
4×	`add-log-exp` `unswap-sqr`
3×	`associate-*r/` `distribute-lft-out`
2×	`associate-/r/` `pow-sqr` `*-commutative` `pow-prod-up`
1×	`distribute-lft-neg-out` `pow2` `frac-times` `flip3-+` `pow-plus` `distribute-frac-neg` `associate-*l/` `distribute-rgt-neg-out` `flip-+` `div-inv`

Counts

4 → 116

Calls

4 calls:

1.0ms	(cbrt t1)
1.0ms	(cbrt t1)
11.0ms	(* (cbrt t1) (cbrt t1))
135.0ms	(* (* (* (cbrt t1) (cbrt t1)) (/ (- (cbrt t1)) (+ t1 u))) (/ v (+ t1 u)))

series635.0ms

Counts

4 → 12

Calls

4 calls:

162.0ms	(cbrt t1)
161.0ms	(cbrt t1)
185.0ms	(* (cbrt t1) (cbrt t1))
126.0ms	(* (* (* (cbrt t1) (cbrt t1)) (/ (- (cbrt t1)) (+ t1 u))) (/ v (+ t1 u)))

simplify100.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (91.0ms)

Iter	Nodes	Cost
0	527	1087
1	3420	767
2	5001	721

prune246.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes57.0ms

Accuracy

0% (1.3b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 1.4b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	6
1	16	6
2	19	6
3	21	6
4	21	6

end0.0ms

sample432.0ms

Algorithm

intervals

Results

205.0ms

8251×

body

valid