Details

sample82.0ms

Algorithm

intervals

Results

43.0ms

641×

body

valid

simplify88.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	47	14
1	110	13
2	335	13
3	1059	13
4	3442	13
5	5001	13

prune11.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 12.8b

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b	(- (* y z) (* t a))
4.9b	(* j (- (* c t) (* i y)))
5.4b	(* b (- (* c z) (* i a)))
5.6b	(* x (- (* y z) (* t a)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
10×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
9×	`distribute-rgt-in` `distribute-lft-in` `associate-r` `associate-l`
7×	`sub-neg` `prod-diff`
6×	`associate-*r/` `add-log-exp`
4×	`expm1-log1p-u` `flip3--` `flip--` `log1p-expm1-u`
3×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`fma-neg` `diff-log`

Counts

4 → 100

Calls

4 calls:

4.0ms	(- (* y z) (* t a))
6.0ms	(* j (- (* c t) (* i y)))
6.0ms	(* b (- (* c z) (* i a)))
6.0ms	(* x (- (* y z) (* t a)))

series229.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(- (* y z) (* t a))
64.0ms	(* j (- (* c t) (* i y)))
64.0ms	(* b (- (* c z) (* i a)))
66.0ms	(* x (- (* y z) (* t a)))

simplify55.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	478	643
1	1976	572
2	5001	572

prune522.0ms

Filtered

112 candidates to 82 candidates (73.2%)

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 7.6b

localize23.0ms

Local error

Found 4 expressions with local error:

4.9b	(* j (- (* c t) (* i y)))
5.4b	(* b (- (* c z) (* i a)))
6.1b	(* x (* y z))
7.5b	(* x (- (* t a)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
15×	`pow1` `add-exp-log` `add-cbrt-cube`
13×	`associate-r`
12×	`associate-l`
11×	`add-cube-cbrt` `*-un-lft-identity`
6×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `sub-neg` `associate-r/` `prod-diff` `-commutative` `log1p-expm1-u` `add-log-exp`
3×	`unswap-sqr`
2×	`flip3--` `flip--`
1×	`distribute-lft-neg-in` `neg-mul-1` `distribute-rgt-neg-in` `distribute-rgt-neg-out`

Counts

4 → 100

Calls

4 calls:

6.0ms	(* j (- (* c t) (* i y)))
6.0ms	(* b (- (* c z) (* i a)))
5.0ms	(* x (* y z))
5.0ms	(* x (- (* t a)))

series179.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(* j (- (* c t) (* i y)))
64.0ms	(* b (- (* c z) (* i a)))
25.0ms	(* x (* y z))
27.0ms	(* x (- (* t a)))

simplify61.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	480	550
1	2190	483
2	5002	483

prune514.0ms

Filtered

112 candidates to 83 candidates (74.1%)

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 5.8b

localize29.0ms

Local error

Found 4 expressions with local error:

5.4b	(* b (- (* c z) (* i a)))
6.1b	(* x (* y z))
7.5b	(* x (- (* t a)))
48.2b	(fma (- y) i (* y i))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cbrt-cube`
10×	`associate-r`
9×	`add-cube-cbrt` `-un-lft-identity` `associate-l*`
5×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`distribute-rgt-in` `distribute-lft-in` `*-commutative`
2×	`sub-neg` `associate-*r/` `prod-diff` `unswap-sqr`
1×	`distribute-lft-neg-in` `neg-mul-1` `flip3--` `distribute-rgt-neg-in` `distribute-rgt-neg-out` `flip--` `fma-udef`

Counts

4 → 82

Calls

4 calls:

8.0ms	(* b (- (* c z) (* i a)))
5.0ms	(* x (* y z))
5.0ms	(* x (- (* t a)))
1.0ms	(fma (- y) i (* y i))

series138.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(* b (- (* c z) (* i a)))
23.0ms	(* x (* y z))
27.0ms	(* x (- (* t a)))
24.0ms	(fma (- y) i (* y i))

simplify53.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	354	416
1	1620	363
2	5001	361

prune542.0ms

Filtered

94 candidates to 71 candidates (75.5%)

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 5.8b

localize32.0ms

Local error

Found 4 expressions with local error:

5.4b	(* b (- (* c z) (* i a)))
6.1b	(* x (* y z))
7.5b	(* x (- (* t a)))
48.2b	(fma (- y) i (* y i))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cbrt-cube`
10×	`associate-r`
9×	`add-cube-cbrt` `-un-lft-identity` `associate-l*`
5×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`distribute-rgt-in` `distribute-lft-in` `*-commutative`
2×	`sub-neg` `associate-*r/` `prod-diff` `unswap-sqr`
1×	`distribute-lft-neg-in` `neg-mul-1` `flip3--` `distribute-rgt-neg-in` `distribute-rgt-neg-out` `flip--` `fma-udef`

Counts

4 → 82

Calls

4 calls:

6.0ms	(* b (- (* c z) (* i a)))
5.0ms	(* x (* y z))
7.0ms	(* x (- (* t a)))
1.0ms	(fma (- y) i (* y i))

series140.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(* b (- (* c z) (* i a)))
27.0ms	(* x (* y z))
27.0ms	(* x (- (* t a)))
24.0ms	(fma (- y) i (* y i))

simplify50.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	354	416
1	1620	363
2	5001	361

prune513.0ms

Filtered

94 candidates to 71 candidates (75.5%)

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 5.7b

regimes1.2s

Accuracy

6.6% (5.6b remaining)

Error of 11.6b against oracle of 6.0b and baseline of 12.0b

bsearch126.0ms

Steps

Iters	Range		Point
7	1.0179251290952806e+133	2.0530533742535654e+135	3.9233554689797346e+133

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	66
1	88	66
2	94	66
3	94	66

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.2s

19185×

body

valid