Details

sample43.0ms

Algorithm

intervals

Results

28.0ms

476×

body

valid

simplify83.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	19	6
1	50	6
2	159	6
3	351	6
4	609	6
5	733	6
6	1068	6
7	1342	6
8	1506	6
9	1553	6
10	1553	6

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.3b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* z z) t)
0.0b	(- (* x x) (* (* y 4.0) (- (* z z) t)))
5.9b	(* (* y 4.0) (- (* z z) t))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 54

Calls

3 calls:

3.0ms	(- (* z z) t)
3.0ms	(- (* x x) (* (* y 4.0) (- (* z z) t)))
13.0ms	(* (* y 4.0) (- (* z z) t))

series156.0ms

Counts

3 → 9

Calls

3 calls:

20.0ms	(- (* z z) t)
73.0ms	(- (* x x) (* (* y 4.0) (- (* z z) t)))
62.0ms	(* (* y 4.0) (- (* z z) t))

simplify42.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	292	385
1	1348	342
2	5001	337

prune127.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 3.5b

localize12.0ms

Local error

Found 4 expressions with local error:

1.9b	(* (* y 4.0) (* (cbrt (- (* z z) t)) (cbrt (- (* z z) t))))
6.6b	(cbrt (- (* z z) t))
6.6b	(cbrt (- (* z z) t))
6.6b	(cbrt (- (* z z) t))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-div`
16×	`pow1` `add-exp-log`
12×	`cbrt-prod` `add-cbrt-cube`
10×	`add-sqr-sqrt` `associate-*r/`
9×	`flip3--` `flip--`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`add-cube-cbrt` `*-un-lft-identity`
4×	`frac-times` `add-log-exp`
3×	`pow1/3` `difference-of-squares`
2×	`associate-*l/`
1×	`associate-r` `associate-l` `*-commutative`

Counts

4 → 72

Calls

4 calls:

36.0ms	(* (* y 4.0) (* (cbrt (- (* z z) t)) (cbrt (- (* z z) t))))
3.0ms	(cbrt (- (* z z) t))
3.0ms	(cbrt (- (* z z) t))
3.0ms	(cbrt (- (* z z) t))

series353.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(* (* y 4.0) (* (cbrt (- (* z z) t)) (cbrt (- (* z z) t))))
88.0ms	(cbrt (- (* z z) t))
87.0ms	(cbrt (- (* z z) t))
89.0ms	(cbrt (- (* z z) t))

simplify112.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	315	709
1	1057	625
2	4510	613
3	5001	613

prune250.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 3.5b

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* (* (* y 4.0) (cbrt (- (* z z) t))) (cbrt (- (* z z) t))) (cbrt (- (* z z) t)))
6.6b	(cbrt (- (* z z) t))
6.6b	(cbrt (- (* z z) t))
6.6b	(cbrt (- (* z z) t))

rewrite155.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-div`
30×	`flip3--` `flip--`
28×	`frac-times`
26×	`associate-*r/`
18×	`pow1` `add-exp-log`
16×	`cbrt-prod`
14×	`associate-*l/`
13×	`add-sqr-sqrt`
10×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
7×	`associate-r`
4×	`add-log-exp` `difference-of-squares`
3×	`pow1/3`
1×	`associate-l` `*-commutative`

Counts

4 → 96

Calls

4 calls:

141.0ms	(* (* (* (* y 4.0) (cbrt (- (* z z) t))) (cbrt (- (* z z) t))) (cbrt (- (* z z) t)))
3.0ms	(cbrt (- (* z z) t))
3.0ms	(cbrt (- (* z z) t))
3.0ms	(cbrt (- (* z z) t))

series323.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(* (* (* (* y 4.0) (cbrt (- (* z z) t))) (cbrt (- (* z z) t))) (cbrt (- (* z z) t)))
87.0ms	(cbrt (- (* z z) t))
87.0ms	(cbrt (- (* z z) t))
88.0ms	(cbrt (- (* z z) t))

simplify57.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	446	1519
1	1725	1381
2	5001	1267

prune292.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 3.5b

localize18.0ms

Local error

Found 4 expressions with local error:

6.6b	(cbrt (- (* z z) t))
6.6b	(cbrt (- (* z z) t))
6.6b	(cbrt (- (* z z) t))
6.6b	(cbrt (- (* z z) t))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

16×	`cbrt-prod`
12×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `cbrt-div` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `flip3--` `pow1/3` `add-cbrt-cube` `flip--` `add-log-exp` `difference-of-squares`

Counts

4 → 56

Calls

4 calls:

3.0ms	(cbrt (- (* z z) t))
3.0ms	(cbrt (- (* z z) t))
3.0ms	(cbrt (- (* z z) t))
3.0ms	(cbrt (- (* z z) t))

series341.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(cbrt (- (* z z) t))
86.0ms	(cbrt (- (* z z) t))
85.0ms	(cbrt (- (* z z) t))
86.0ms	(cbrt (- (* z z) t))

simplify93.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 4 (87.0ms)

Iter	Nodes	Cost
0	125	448
1	311	420
2	787	412
3	2910	412
4	5001	408

prune316.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 3.5b

regimes411.0ms

Accuracy

74.9% (0.8b remaining)

Error of 3.6b against oracle of 2.8b and baseline of 5.9b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	16
1	25	16

end0.0ms

sample1.3s

Algorithm

intervals

Results

957.0ms

15766×

body

valid