Details

sample80.0ms

Algorithm

intervals

Results

36.0ms

602×

body

valid

simplify75.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	43	14
1	96	14
2	291	14
3	825	14
4	2021	14
5	5001	14

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.4b

localize26.0ms

Local error

Found 4 expressions with local error:

0.3b	(- (* c t) (* i y))
4.2b	(* x (- (* y z) (* t a)))
5.2b	(* j (- (* c t) (* i y)))
6.2b	(* b (- (* c z) (* i a)))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 84

Calls

4 calls:

7.0ms	(- (* c t) (* i y))
28.0ms	(* x (- (* y z) (* t a)))
25.0ms	(* j (- (* c t) (* i y)))
25.0ms	(* b (- (* c z) (* i a)))

series221.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(- (* c t) (* i y))
63.0ms	(* x (- (* y z) (* t a)))
58.0ms	(* j (- (* c t) (* i y)))
63.0ms	(* b (- (* c z) (* i a)))

simplify50.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	424	552
1	1770	485
2	5001	485

prune396.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 8.0b

localize26.0ms

Local error

Found 4 expressions with local error:

5.2b	(* j (- (* c t) (* i y)))
7.3b	(cbrt (- (* c z) (* i a)))
7.3b	(cbrt (- (* c z) (* i a)))
7.3b	(cbrt (- (* c z) (* i a)))

rewrite49.0ms

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×	`flip3--` `flip--` `add-log-exp`
3×	`pow1/3` `associate-r` `associate-l`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 63

Calls

4 calls:

29.0ms	(* j (- (* c t) (* i y)))
6.0ms	(cbrt (- (* c z) (* i a)))
6.0ms	(cbrt (- (* c z) (* i a)))
7.0ms	(cbrt (- (* c z) (* i a)))

series390.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(* j (- (* c t) (* i y)))
109.0ms	(cbrt (- (* c z) (* i a)))
109.0ms	(cbrt (- (* c z) (* i a)))
111.0ms	(cbrt (- (* c z) (* i a)))

simplify100.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 3 (94.0ms)

Iter	Nodes	Cost
0	314	590
1	1058	543
2	3731	525
3	5002	519

prune443.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 8.0b

localize31.0ms

Local error

Found 4 expressions with local error:

4.8b	(cbrt (* x (- (* y z) (* t a))))
4.8b	(cbrt (* x (- (* y z) (* t a))))
5.2b	(* j (- (* c t) (* i y)))
6.2b	(* b (- (* c z) (* i a)))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 70

Calls

4 calls:

10.0ms	(cbrt (* x (- (* y z) (* t a))))
12.0ms	(cbrt (* x (- (* y z) (* t a))))
25.0ms	(* j (- (* c t) (* i y)))
25.0ms	(* b (- (* c z) (* i a)))

series382.0ms

Counts

4 → 12

Calls

4 calls:

126.0ms	(cbrt (* x (- (* y z) (* t a))))
136.0ms	(cbrt (* x (- (* y z) (* t a))))
57.0ms	(* j (- (* c t) (* i y)))
62.0ms	(* b (- (* c z) (* i a)))

simplify46.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	437	572
1	1640	510
2	5001	504

prune445.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 8.0b

localize34.0ms

Local error

Found 4 expressions with local error:

4.8b	(cbrt (* x (- (* y z) (* t a))))
4.8b	(cbrt (- (* y z) (* t a)))
5.2b	(* j (- (* c t) (* i y)))
6.2b	(* b (- (* c z) (* i a)))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

10.0ms	(cbrt (* x (- (* y z) (* t a))))
5.0ms	(cbrt (- (* y z) (* t a)))
29.0ms	(* j (- (* c t) (* i y)))
25.0ms	(* b (- (* c z) (* i a)))

series357.0ms

Counts

4 → 12

Calls

4 calls:

124.0ms	(cbrt (* x (- (* y z) (* t a))))
111.0ms	(cbrt (- (* y z) (* t a)))
58.0ms	(* j (- (* c t) (* i y)))
64.0ms	(* b (- (* c z) (* i a)))

simplify49.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	508	588
1	1819	528
2	5001	518

prune585.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 8.0b

regimes988.0ms

Accuracy

-8% (4.1b remaining)

Error of 13.2b against oracle of 9.1b and baseline of 12.9b

bsearch124.0ms

Steps

Iters	Range		Point
4	-1.0041569796010046e-290	-5.1334664012874516e-291	-5.6169020064018164e-291
7	-2.168754582780419e-139	-4.343009027502546e-141	-4.4007851686556796e-141

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	71
1	60	71

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.1s

18792×

body

valid