Details

sample84.0ms

Algorithm

intervals

Results

44.0ms

658×

body

valid

simplify107.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (5.0ms)

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

prune13.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 11.5b

localize22.0ms

Local error

Found 4 expressions with local error:

0.3b	(- (* c a) (* y i))
3.6b	(* b (- (* c z) (* t i)))
4.8b	(* x (- (* y z) (* t a)))
6.3b	(* j (- (* c a) (* y i)))

rewrite41.0ms

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))
14.0ms	(* b (- (* c z) (* t i)))
10.0ms	(* x (- (* y z) (* t a)))
11.0ms	(* j (- (* c a) (* y i)))

series273.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(- (* c a) (* y i))
79.0ms	(* b (- (* c z) (* t i)))
79.0ms	(* x (- (* y z) (* t a)))
73.0ms	(* j (- (* c a) (* y i)))

simplify76.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 1 (18.0ms)

Iter	Nodes	Cost
0	476	643
1	1969	572
2	5001	572

prune594.0ms

Filtered

112 candidates to 81 candidates (72.3%)

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 8.0b

localize28.0ms

Local error

Found 4 expressions with local error:

3.6b	(* b (- (* c z) (* t i)))
4.8b	(* x (- (* y z) (* t a)))
6.3b	(* j (- (* a c) (* i y)))
47.6b	(fma (- i) y (* i y))

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`
6×	`sub-neg` `associate-*r/` `prod-diff`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `unswap-sqr`
1×	`fma-udef`

Counts

4 → 94

Calls

4 calls:

11.0ms	(* b (- (* c z) (* t i)))
11.0ms	(* x (- (* y z) (* t a)))
10.0ms	(* j (- (* a c) (* i y)))
0.0ms	(fma (- i) y (* i y))

series274.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(* b (- (* c z) (* t i)))
76.0ms	(* x (- (* y z) (* t a)))
84.0ms	(* j (- (* a c) (* i y)))
34.0ms	(fma (- i) y (* i y))

simplify69.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 1 (17.0ms)

Iter	Nodes	Cost
0	461	602
1	1905	532
2	5001	532

prune938.0ms

Filtered

106 candidates to 77 candidates (72.6%)

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 8.0b

localize40.0ms

Local error

Found 4 expressions with local error:

4.8b	(* x (- (* y z) (* t a)))
6.3b	(* j (- (* a c) (* i y)))
47.6b	(fma (- i) y (* i y))
50.5b	(fma (- i) t (* i t))

rewrite24.0ms

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:

11.0ms	(* x (- (* y z) (* t a)))
10.0ms	(* j (- (* a c) (* i y)))
0.0ms	(fma (- i) y (* i y))
0.0ms	(fma (- i) t (* i t))

series211.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(* x (- (* y z) (* t a)))
79.0ms	(* j (- (* a c) (* i y)))
30.0ms	(fma (- i) y (* i y))
28.0ms	(fma (- i) t (* i t))

simplify59.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	340	468
1	1352	412
2	5001	412

prune652.0ms

Filtered

88 candidates to 68 candidates (77.3%)

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 8.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.3b	(- (* c a) (* y i))
3.6b	(* b (- (* c z) (* t i)))
4.8b	(* x (- (* y z) (* t a)))
5.6b	(fma (- (* c a) (* y i)) j (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* t i)))))

rewrite31.0ms

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))
14.0ms	(* b (- (* c z) (* t 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)))))

series838.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(- (* c a) (* y i))
80.0ms	(* b (- (* c z) (* t i)))
83.0ms	(* x (- (* y z) (* t a)))
632.0ms	(fma (- (* c a) (* y i)) j (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* t i)))))

simplify70.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 1 (18.0ms)

Iter	Nodes	Cost
0	426	646
1	1670	568
2	5002	568

prune447.0ms

Filtered

94 candidates to 71 candidates (75.5%)

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 5.0b

regimes1.2s

Accuracy

4.9% (7.2b remaining)

Error of 11.5b against oracle of 4.3b and baseline of 11.8b

bsearch215.0ms

Steps

Iters	Range		Point
7	1.51306343051482e-272	4.458132482621783e-271	1.3678801228584537e-271
9	-2.7741773608829413e-217	-6.1945215495571335e-223	-2.571670762288413e-222

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	42	23
1	44	23
2	44	23

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.2s

19242×

body

valid