Details

sample71.0ms

Algorithm

intervals

Results

37.0ms

563×

body

valid

simplify90.0ms

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.7b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a))))
2.2b	(fma (- (* c t) (* i y)) j (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a)))))
5.0b	(* b (- (* c z) (* i a)))
6.0b	(* x (- (* y z) (* t a)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 98

Calls

4 calls:

12.0ms	(- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a))))
1.0ms	(fma (- (* c t) (* i y)) j (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a)))))
6.0ms	(* b (- (* c z) (* i a)))
6.0ms	(* x (- (* y z) (* t a)))

series940.0ms

Counts

4 → 12

Calls

4 calls:

226.0ms	(- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a))))
577.0ms	(fma (- (* c t) (* i y)) j (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a)))))
70.0ms	(* b (- (* c z) (* i a)))
66.0ms	(* x (- (* y z) (* t a)))

simplify84.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (73.0ms)

Iter	Nodes	Cost
0	567	1034
1	2610	947
2	5001	943

prune520.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 3.7b

localize23.0ms

Local error

Found 4 expressions with local error:

5.0b	(* b (- (* c z) (* i a)))
7.8b	(cbrt (- (* y z) (* t a)))
7.8b	(cbrt (- (* y z) (* t a)))
7.8b	(cbrt (- (* y z) (* t a)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

6.0ms	(* b (- (* c z) (* i a)))
4.0ms	(cbrt (- (* y z) (* t a)))
4.0ms	(cbrt (- (* y z) (* t a)))
3.0ms	(cbrt (- (* y z) (* t a)))

series439.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(* b (- (* c z) (* i a)))
127.0ms	(cbrt (- (* y z) (* t a)))
123.0ms	(cbrt (- (* y z) (* t a)))
122.0ms	(cbrt (- (* y z) (* t a)))

simplify113.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	336	646
1	1159	598
2	4181	580
3	5001	580

prune520.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 3.7b

localize25.0ms

Local error

Found 4 expressions with local error:

6.0b	(* x (- (* y z) (* t a)))
6.1b	(cbrt (- (* c z) (* i a)))
6.1b	(cbrt (- (* c z) (* i a)))
6.1b	(cbrt (- (* c z) (* i a)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

6.0ms	(* x (- (* y z) (* t a)))
7.0ms	(cbrt (- (* c z) (* i a)))
4.0ms	(cbrt (- (* c z) (* i a)))
4.0ms	(cbrt (- (* c z) (* i a)))

series441.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(* x (- (* y z) (* t a)))
122.0ms	(cbrt (- (* c z) (* i a)))
120.0ms	(cbrt (- (* c z) (* i a)))
124.0ms	(cbrt (- (* c z) (* i a)))

simplify106.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	339	646
1	1165	598
2	4162	580
3	5001	580

prune717.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 3.7b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
12×	`pow1` `add-exp-log` `distribute-rgt-in` `add-cube-cbrt` `-un-lft-identity` `distribute-lft-in` `associate-r` `associate-l*` `add-cbrt-cube`
8×	`sub-neg` `associate-*r/` `prod-diff`
4×	`expm1-log1p-u` `flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

4 → 112

Calls

4 calls:

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

series274.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(* b (- (* c z) (* i a)))
70.0ms	(* x (- (* y z) (* t a)))
70.0ms	(* x (- (* y z) (* t a)))
69.0ms	(* x (- (* y z) (* t a)))

simplify48.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	307	736
1	1265	652
2	5001	652

prune605.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 3.7b

regimes890.0ms

Accuracy

12.3% (6.6b remaining)

Error of 11.8b against oracle of 5.2b and baseline of 12.7b

bsearch91.0ms

Steps

Iters	Range		Point
7	3.917112632187247e-14	6.684401408738383e-13	5.158052893556176e-13

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	35
1	49	35

end0.0ms

sample2.2s

Algorithm

intervals

Results

1.2s

19069×

body

valid