Details

sample21.0ms

Algorithm

intervals

Results

14.0ms

256×

body

valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	4
1	17	4
2	19	4
3	21	4
4	22	4
5	22	4

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (/ 841.0 108.0) x)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
13×	`associate-l`
10×	`times-frac`
9×	`add-cube-cbrt` `*-un-lft-identity`
6×	`add-exp-log` `add-cbrt-cube`
3×	`pow1` `associate-r`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `div-inv` `add-log-exp`

Counts

1 → 32

Calls

1 calls:

7.0ms

(* (/ 841.0 108.0) x)

series15.0ms

Counts

1 → 3

Calls

1 calls:

15.0ms

(* (/ 841.0 108.0) x)

simplify47.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 2 (15.0ms)

Iter	Nodes	Cost
0	154	125
1	545	110
2	2050	109
3	5001	109

prune66.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b	(* (sqrt (/ 841.0 108.0)) x)
0.3b	(* (sqrt (/ 841.0 108.0)) (* (sqrt (/ 841.0 108.0)) x))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

32×	`associate-l`
28×	`sqrt-prod`
26×	`add-sqr-sqrt`
19×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`sqrt-div`
4×	`associate-r` `pow-prod-down` `associate-*l/` `prod-exp` `cbrt-unprod`
3×	`unswap-sqr`
2×	`*-commutative` `div-inv` `add-log-exp`
1×	`frac-times` `associate-*r/`

Counts

2 → 68

Calls

2 calls:

10.0ms	(* (sqrt (/ 841.0 108.0)) x)
21.0ms	(* (sqrt (/ 841.0 108.0)) (* (sqrt (/ 841.0 108.0)) x))

series117.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(* (sqrt (/ 841.0 108.0)) x)
73.0ms	(* (sqrt (/ 841.0 108.0)) (* (sqrt (/ 841.0 108.0)) x))

simplify76.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	219	390
1	754	345
2	3203	345
3	5002	345

prune179.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (sqrt (/ 841.0 108.0)) x)
0.3b	(* (sqrt (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0)))) (* (sqrt (cbrt (/ 841.0 108.0))) (* (sqrt (/ 841.0 108.0)) x)))
0.4b	(* (sqrt (cbrt (/ 841.0 108.0))) (* (sqrt (/ 841.0 108.0)) x))
1.0b	(* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0)))

rewrite139.0ms

Algorithm

rewrite-expression-head

Rules

86×	`add-sqr-sqrt`
77×	`cbrt-prod`
61×	`times-frac`
55×	`add-cube-cbrt` `-un-lft-identity` `associate-l*`
33×	`sqrt-div`
32×	`sqrt-prod`
30×	`cbrt-div`
27×	`pow1`
24×	`associate-*l/`
22×	`add-exp-log`
21×	`associate-r`
20×	`add-cbrt-cube`
19×	`frac-times`
16×	`swap-sqr`
13×	`associate-*r/`
12×	`pow-prod-down` `unswap-sqr`
11×	`prod-exp` `cbrt-unprod`
6×	`pow1/3` `div-inv`
4×	`*-commutative` `add-log-exp`
2×	`pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus`

Counts

4 → 186

Calls

4 calls:

10.0ms	(* (sqrt (/ 841.0 108.0)) x)
76.0ms	(* (sqrt (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0)))) (* (sqrt (cbrt (/ 841.0 108.0))) (* (sqrt (/ 841.0 108.0)) x)))
24.0ms	(* (sqrt (cbrt (/ 841.0 108.0))) (* (sqrt (/ 841.0 108.0)) x))
20.0ms	(* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0)))

series304.0ms

Counts

4 → 10

Calls

4 calls:

40.0ms	(* (sqrt (/ 841.0 108.0)) x)
154.0ms	(* (sqrt (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0)))) (* (sqrt (cbrt (/ 841.0 108.0))) (* (sqrt (/ 841.0 108.0)) x)))
110.0ms	(* (sqrt (cbrt (/ 841.0 108.0))) (* (sqrt (/ 841.0 108.0)) x))
0.0ms	(* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0)))

simplify69.0ms

Algorithm

egg-herbie

Counts

196 → 196

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	547	1686
1	2042	1581
2	5001	1550

prune587.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize10.0ms

Local error

Found 1 expressions with local error:

0.7b	(/ (* 841.0 x) 108.0)

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-exp-log` `add-cbrt-cube`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `times-frac` `associate-/r`
2×	`cbrt-undiv` `div-exp`
1×	`pow1` `frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `div-inv` `associate-/l*` `add-log-exp`

Counts

1 → 21

Calls

1 calls:

4.0ms

(/ (* 841.0 x) 108.0)

series22.0ms

Counts

1 → 3

Calls

1 calls:

22.0ms

(/ (* 841.0 x) 108.0)

simplify68.0ms

Algorithm

egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	114	82
1	517	67
2	2474	67
3	5001	67

prune37.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes43.0ms

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	11	4
1	11	4

end0.0ms

sample548.0ms

Algorithm

intervals

Results

455.0ms	8012×	body	80	valid
1.0ms	3×	body	1280	valid
0.0ms	2×	body	640	valid