Details

sample73.0ms

Algorithm

intervals

Results

38.0ms

535×

body

valid

simplify109.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (6.0ms)

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

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 14.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* c a) (* y i))
4.7b	(* x (- (* y z) (* t a)))
5.3b	(fma (- (* c a) (* y i)) j (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* t i)))))
5.8b	(* b (- (* c z) (* t i)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 82

Calls

4 calls:

3.0ms	(- (* c a) (* y i))
10.0ms	(* x (- (* y z) (* t a)))
0.0ms	(fma (- (* c a) (* y i)) j (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* t i)))))
10.0ms	(* b (- (* c z) (* t i)))

series838.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(- (* c a) (* y i))
82.0ms	(* x (- (* y z) (* t a)))
629.0ms	(fma (- (* c a) (* y i)) j (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* t i)))))
81.0ms	(* b (- (* c z) (* t i)))

simplify64.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 1 (16.0ms)

Iter	Nodes	Cost
0	426	646
1	1670	568
2	5001	568

prune502.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 5.8b

localize29.0ms

Local error

Found 4 expressions with local error:

4.7b	(* x (- (* y z) (* t a)))
5.3b	(fma (- (* c a) (* y i)) j (- (* x (- (* y z) (* t a))) (+ (* b (- (* c z) (* t i))) (* b (fma (- i) t (* i t))))))
5.8b	(* b (- (* c z) (* t i)))
49.4b	(fma (- i) t (* i t))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 76

Calls

4 calls:

10.0ms	(* x (- (* y z) (* t a)))
0.0ms	(fma (- (* c a) (* y i)) j (- (* x (- (* y z) (* t a))) (+ (* b (- (* c z) (* t i))) (* b (fma (- i) t (* i t))))))
10.0ms	(* b (- (* c z) (* t i)))
0.0ms	(fma (- i) t (* i t))

series3.9s

Counts

4 → 12

Calls

4 calls:

81.0ms	(* x (- (* y z) (* t a)))
3.7s	(fma (- (* c a) (* y i)) j (- (* x (- (* y z) (* t a))) (+ (* b (- (* c z) (* t i))) (* b (fma (- i) t (* i t))))))
77.0ms	(* b (- (* c z) (* t i)))
27.0ms	(fma (- i) t (* i t))

simplify56.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	363	664
1	1467	577
2	5001	577

prune525.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 5.8b

localize30.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* c a) (* y i))
4.7b	(* x (- (* y z) (* t a)))
5.8b	(* b (- (* c z) (* t i)))
6.0b	(* j (- (* c a) (* y i)))

rewrite35.0ms

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:

3.0ms	(- (* c a) (* y i))
10.0ms	(* x (- (* y z) (* t a)))
10.0ms	(* b (- (* c z) (* t i)))
10.0ms	(* j (- (* c a) (* y i)))

series274.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(- (* c a) (* y i))
79.0ms	(* x (- (* y z) (* t a)))
71.0ms	(* b (- (* c z) (* t i)))
78.0ms	(* j (- (* c a) (* y i)))

simplify65.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 1 (16.0ms)

Iter	Nodes	Cost
0	476	643
1	1969	572
2	5002	572

prune546.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 5.7b

localize32.0ms

Local error

Found 4 expressions with local error:

4.7b	(* x (- (* y z) (* t a)))
5.7b	(* j (- (* y i)))
5.8b	(* b (- (* c z) (* t i)))
6.2b	(* j (* c a))

rewrite32.0ms

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:

10.0ms	(* x (- (* y z) (* t a)))
4.0ms	(* j (- (* y i)))
10.0ms	(* b (- (* c z) (* t i)))
6.0ms	(* j (* c a))

series211.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(* x (- (* y z) (* t a)))
28.0ms	(* j (- (* y i)))
77.0ms	(* b (- (* c z) (* t i)))
28.0ms	(* j (* c a))

simplify75.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 1 (17.0ms)

Iter	Nodes	Cost
0	479	550
1	2195	483
2	5002	483

prune745.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 2.6b

regimes825.0ms

Accuracy

8.7% (9.5b remaining)

Error of 12.0b against oracle of 2.5b and baseline of 12.9b

bsearch270.0ms

Steps

Iters	Range		Point
7	1.4750884420805796e+156	6.696365043910614e+157	3.040782353622976e+156
9	-2.115940709473092e+207	-6.023282706734312e+198	-3.5158939974552155e+199

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	65	24
1	77	24
2	94	24
3	94	24

end0.0ms

sample2.2s

Algorithm

intervals

Results

1.3s

19202×

body

valid