Details

sample46.0ms

Algorithm

intervals

Results

30.0ms

522×

body

valid

simplify79.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 9 (66.0ms)

Iter	Nodes	Cost
0	21	6
1	52	6
2	171	6
3	401	6
4	829	6
5	1090	6
6	1610	6
7	1956	6
8	2252	6
9	2367	5
10	2367	5

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.1b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* x x) (* (* y 4.0) (- (* z z) t)))
6.7b	(* (* y 4.0) (- (* z z) t))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

13×	`prod-diff`
10×	`distribute-rgt-in` `distribute-lft-in` `associate--r+`
8×	`add-sqr-sqrt`
7×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
5×	`sub-neg`
4×	`associate-r` `add-log-exp`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `flip3--` `associate-*r/` `flip--` `log1p-expm1-u`
1×	`fma-neg` `diff-log` `associate-l` `*-commutative` `difference-of-squares`

Counts

2 → 59

Calls

2 calls:

4.0ms	(- (* x x) (* (* y 4.0) (- (* z z) t)))
17.0ms	(* (* y 4.0) (- (* z z) t))

series130.0ms

Counts

2 → 6

Calls

2 calls:

72.0ms	(- (* x x) (* (* y 4.0) (- (* z z) t)))
58.0ms	(* (* y 4.0) (- (* z z) t))

simplify50.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	385	490
1	1737	408
2	5001	399

prune139.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 3.6b

localize13.0ms

Local error

Found 4 expressions with local error:

6.7b	(cbrt (* (* y 4.0) (- (* z z) t)))
6.7b	(* (* y 4.0) (- (* z z) t))
6.7b	(* (* y 4.0) (- (* z z) t))
6.7b	(* (* y 4.0) (- (* z z) t))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

19×	`pow1` `add-exp-log` `add-cbrt-cube`
18×	`prod-diff`
16×	`add-sqr-sqrt`
15×	`distribute-rgt-in` `distribute-lft-in`
13×	`add-cube-cbrt` `*-un-lft-identity`
12×	`associate-r`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`associate-*r/`
6×	`sub-neg`
4×	`expm1-log1p-u` `flip3--` `flip--` `log1p-expm1-u` `add-log-exp`
3×	`associate-l` `*-commutative` `difference-of-squares`
2×	`cbrt-div`
1×	`cbrt-prod` `pow1/3`

Counts

4 → 112

Calls

4 calls:

8.0ms	(cbrt (* (* y 4.0) (- (* z z) t)))
14.0ms	(* (* y 4.0) (- (* z z) t))
17.0ms	(* (* y 4.0) (- (* z z) t))
15.0ms	(* (* y 4.0) (- (* z z) t))

series322.0ms

Counts

4 → 12

Calls

4 calls:

141.0ms	(cbrt (* (* y 4.0) (- (* z z) t)))
61.0ms	(* (* y 4.0) (- (* z z) t))
58.0ms	(* (* y 4.0) (- (* z z) t))
61.0ms	(* (* y 4.0) (- (* z z) t))

simplify52.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	372	893
1	1524	699
2	5002	690

prune297.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 3.6b

localize20.0ms

Local error

Found 4 expressions with local error:

6.7b	(* (* y 4.0) (- (* z z) t))
7.3b	(cbrt (- (* z z) t))
7.3b	(cbrt (- (* z z) t))
7.3b	(cbrt (- (* z z) t))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
12×	`cbrt-prod`
10×	`add-cube-cbrt` `*-un-lft-identity`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`cbrt-div` `prod-diff`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`expm1-log1p-u` `flip3--` `associate-r` `flip--` `log1p-expm1-u` `add-log-exp` `difference-of-squares`
3×	`pow1/3` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`sub-neg` `associate-*r/`
1×	`associate-l` `*-commutative`

Counts

4 → 81

Calls

4 calls:

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

series318.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(* (* y 4.0) (- (* z z) t))
85.0ms	(cbrt (- (* z z) t))
85.0ms	(cbrt (- (* z z) t))
86.0ms	(cbrt (- (* z z) t))

simplify47.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	345	614
1	1461	532
2	5001	522

prune356.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 3.6b

localize22.0ms

Local error

Found 4 expressions with local error:

7.3b	(cbrt (- (* z z) t))
7.3b	(cbrt (- (* z z) t))
7.3b	(cbrt (- (* z z) t))
7.3b	(cbrt (- (* z z) t))

rewrite15.0ms

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` `expm1-log1p-u` `flip3--` `pow1/3` `add-cbrt-cube` `flip--` `log1p-expm1-u` `add-log-exp` `difference-of-squares`

Counts

4 → 64

Calls

4 calls:

3.0ms	(cbrt (- (* z z) t))
5.0ms	(cbrt (- (* z z) t))
3.0ms	(cbrt (- (* z z) t))
3.0ms	(cbrt (- (* z z) t))

series360.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(cbrt (- (* z z) t))
91.0ms	(cbrt (- (* z z) t))
89.0ms	(cbrt (- (* z z) t))
91.0ms	(cbrt (- (* z z) t))

simplify101.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 4 (95.0ms)

Iter	Nodes	Cost
0	132	480
1	339	452
2	888	444
3	3148	436
4	5001	428

prune379.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 3.6b

regimes443.0ms

Accuracy

83.7% (0.6b remaining)

Error of 3.1b against oracle of 2.6b and baseline of 6.0b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	16
1	25	16

end0.0ms

sample1.4s

Algorithm

intervals

Results

982.0ms

15948×

body

valid