Details

sample56.0ms

Algorithm

intervals

Results

40.0ms

490×

body

valid

simplify87.0ms

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: 3.3b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* z z) t)
3.1b	(* (* y 4.0) (- (* z z) t))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 38

Calls

2 calls:

3.0ms	(- (* z z) t)
14.0ms	(* (* y 4.0) (- (* z z) t))

series83.0ms

Counts

2 → 6

Calls

2 calls:

20.0ms	(- (* z z) t)
63.0ms	(* (* y 4.0) (- (* z z) t))

simplify39.0ms

Algorithm

egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	214	228
1	984	192
2	5001	191

prune95.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 1.5b

localize13.0ms

Local error

Found 4 expressions with local error:

3.1b	(* (* y 4.0) (* (* (cbrt (- (* z z) t)) (cbrt (- (* z z) t))) (cbrt (- (* z z) t))))
3.7b	(cbrt (- (* z z) t))
3.7b	(cbrt (- (* z z) t))
3.7b	(cbrt (- (* z z) t))

rewrite136.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 96

Calls

4 calls:

123.0ms	(* (* 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))

series338.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(* (* y 4.0) (* (* (cbrt (- (* z z) t)) (cbrt (- (* z z) t))) (cbrt (- (* z z) t))))
90.0ms	(cbrt (- (* z z) t))
91.0ms	(cbrt (- (* z z) t))
90.0ms	(cbrt (- (* z z) t))

simplify52.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	492	1309
1	1502	1046
2	5002	980

prune295.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 1.5b

localize13.0ms

Local error

Found 4 expressions with local error:

3.1b	(* (* y 4.0) (- (* z z) t))
6.2b	(cbrt (* (* y 4.0) (- (* z z) t)))
6.2b	(cbrt (* (* y 4.0) (- (* z z) t)))
6.2b	(cbrt (* (* y 4.0) (- (* z z) t)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 58

Calls

4 calls:

13.0ms	(* (* y 4.0) (- (* z z) t))
8.0ms	(cbrt (* (* y 4.0) (- (* z z) t)))
8.0ms	(cbrt (* (* y 4.0) (- (* z z) t)))
11.0ms	(cbrt (* (* y 4.0) (- (* z z) t)))

series480.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(* (* y 4.0) (- (* z z) t))
143.0ms	(cbrt (* (* y 4.0) (- (* z z) t)))
142.0ms	(cbrt (* (* y 4.0) (- (* z z) t)))
137.0ms	(cbrt (* (* y 4.0) (- (* z z) t)))

simplify40.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	291	528
1	1138	466
2	5001	441

prune232.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 1.5b

localize17.0ms

Local error

Found 4 expressions with local error:

3.1b	(* (* y 4.0) (- (* z z) t))
3.7b	(cbrt (- (* z z) t))
6.2b	(cbrt (* (* y 4.0) (- (* z z) t)))
6.2b	(cbrt (* (* y 4.0) (- (* z z) t)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 61

Calls

4 calls:

13.0ms	(* (* y 4.0) (- (* z z) t))
3.0ms	(cbrt (- (* z z) t))
8.0ms	(cbrt (* (* y 4.0) (- (* z z) t)))
11.0ms	(cbrt (* (* y 4.0) (- (* z z) t)))

series437.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(* (* y 4.0) (- (* z z) t))
88.0ms	(cbrt (- (* z z) t))
145.0ms	(cbrt (* (* y 4.0) (- (* z z) t)))
140.0ms	(cbrt (* (* y 4.0) (- (* z z) t)))

simplify44.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	343	519
1	1300	461
2	5002	442

prune270.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 1.5b

regimes318.0ms

Accuracy

84.2% (0.5b remaining)

Error of 3.0b against oracle of 2.5b and baseline of 5.7b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	16
1	25	16

end0.0ms

sample1.6s

Algorithm

intervals

Results

1.2s

15758×

body

valid