Details

sample25.0ms

Algorithm

intervals

Results

13.0ms	295×	body	80	valid
1.0ms	7×	body	1280	valid
1.0ms	8×	body	640	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	160	valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	18	4
1	34	3
2	52	3
3	60	3
4	60	3

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(* d1 (+ (+ 3.0 d2) d3))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

8×	`*-un-lft-identity`
5×	`add-sqr-sqrt` `associate-r`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-l` `add-cbrt-cube` `distribute-lft-out`
2×	`associate-*r/`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `add-log-exp` `unswap-sqr`

Counts

1 → 24

Calls

1 calls:

40.0ms

(* d1 (+ (+ 3.0 d2) d3))

series28.0ms

Counts

1 → 3

Calls

1 calls:

28.0ms

(* d1 (+ (+ 3.0 d2) d3))

simplify88.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	149	120
1	720	103
2	3972	103
3	5002	103

prune50.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* d1 (+ 3.0 d2))
0.0b	(+ (* d1 (+ 3.0 d2)) (* d1 d3))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 37

Calls

2 calls:

9.0ms	(* d1 (+ 3.0 d2))
5.0ms	(+ (* d1 (+ 3.0 d2)) (* d1 d3))

series73.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(* d1 (+ 3.0 d2))
41.0ms	(+ (* d1 (+ 3.0 d2)) (* d1 d3))

simplify37.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	216	183
1	975	162
2	5001	160

prune83.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (+ 3.0 d2))
0.3b	(cbrt (+ 3.0 d2))
0.3b	(cbrt (+ 3.0 d2))
0.3b	(* (* d1 (* (cbrt (+ 3.0 d2)) (cbrt (+ 3.0 d2)))) (cbrt (+ 3.0 d2)))

rewrite100.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-div`
32×	`associate-*r/`
30×	`flip3-+` `flip-+`
28×	`frac-times`
17×	`*-un-lft-identity`
16×	`cbrt-prod`
14×	`associate-*l/`
13×	`pow1` `add-exp-log`
9×	`add-sqr-sqrt` `add-cube-cbrt`
8×	`add-cbrt-cube`
7×	`associate-r`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`distribute-lft-out` `add-log-exp`
3×	`pow1/3`
1×	`associate-l` `*-commutative`

Counts

4 → 93

Calls

4 calls:

2.0ms	(cbrt (+ 3.0 d2))
2.0ms	(cbrt (+ 3.0 d2))
2.0ms	(cbrt (+ 3.0 d2))
89.0ms	(* (* d1 (* (cbrt (+ 3.0 d2)) (cbrt (+ 3.0 d2)))) (cbrt (+ 3.0 d2)))

series305.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(cbrt (+ 3.0 d2))
89.0ms	(cbrt (+ 3.0 d2))
91.0ms	(cbrt (+ 3.0 d2))
36.0ms	(* (* d1 (* (cbrt (+ 3.0 d2)) (cbrt (+ 3.0 d2)))) (cbrt (+ 3.0 d2)))

simplify52.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	478	1184
1	1600	1059
2	5002	1015

prune270.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (+ 3.0 d2))
0.3b	(* (* d1 (* (cbrt (+ 3.0 d2)) (cbrt (+ 3.0 d2)))) (/ (cbrt (- (* 3.0 3.0) (* d2 d2))) (cbrt (- 3.0 d2))))
0.8b	(/ (cbrt (- (* 3.0 3.0) (* d2 d2))) (cbrt (- 3.0 d2)))
12.6b	(cbrt (- (* 3.0 3.0) (* d2 d2)))

rewrite134.0ms

Algorithm

rewrite-expression-head

Rules

151×	`cbrt-prod`
112×	`times-frac`
103×	`*-un-lft-identity`
101×	`add-sqr-sqrt`
71×	`add-cube-cbrt`
62×	`associate-r`
34×	`cbrt-div`
33×	`difference-of-squares`
27×	`add-exp-log`
21×	`associate-*r/`
16×	`frac-times`
15×	`add-cbrt-cube` `distribute-lft-out--`
13×	`pow1` `flip3-+` `flip-+`
12×	`associate-*l/` `prod-exp` `cbrt-unprod`
8×	`associate-/r*`
7×	`associate-/l*`
6×	`pow-prod-down`
4×	`cbrt-undiv` `flip3--` `div-exp` `associate-/r/` `flip--` `add-log-exp`
2×	`pow1/3` `div-inv` `associate-/l/`
1×	`frac-2neg` `associate-l` `clear-num` `*-commutative` `distribute-lft-out`

Counts

4 → 218

Calls

4 calls:

2.0ms	(cbrt (+ 3.0 d2))
106.0ms	(* (* d1 (* (cbrt (+ 3.0 d2)) (cbrt (+ 3.0 d2)))) (/ (cbrt (- (* 3.0 3.0) (* d2 d2))) (cbrt (- 3.0 d2))))
12.0ms	(/ (cbrt (- (* 3.0 3.0) (* d2 d2))) (cbrt (- 3.0 d2)))
2.0ms	(cbrt (- (* 3.0 3.0) (* d2 d2)))

series637.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(cbrt (+ 3.0 d2))
228.0ms	(* (* d1 (* (cbrt (+ 3.0 d2)) (cbrt (+ 3.0 d2)))) (/ (cbrt (- (* 3.0 3.0) (* d2 d2))) (cbrt (- 3.0 d2))))
125.0ms	(/ (cbrt (- (* 3.0 3.0) (* d2 d2))) (cbrt (- 3.0 d2)))
195.0ms	(cbrt (- (* 3.0 3.0) (* d2 d2)))

simplify64.0ms

Algorithm

egg-herbie

Counts

230 → 230

Iterations

Useful iterations: 1 (28.0ms)

Iter	Nodes	Cost
0	1103	3339
1	5001	3129

prune989.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes60.0ms

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	10	3
1	10	3

end0.0ms

sample715.0ms

Algorithm

intervals

Results

439.0ms	9629×	body	80	valid
24.0ms	209×	body	640	valid
21.0ms	181×	body	320	valid
14.0ms	98×	body	1280	valid
9.0ms	98×	body	160	valid