Details

sample85.0ms

Algorithm

intervals

Results

37.0ms

623×

body

valid

simplify91.0ms

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.2b

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* y z) (* t a))
3.8b	(* x (- (* y z) (* t a)))
4.0b	(* b (- (* c z) (* i a)))
5.8b	(* j (- (* c t) (* i y)))

rewrite96.0ms

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:

9.0ms	(- (* y z) (* t a))
29.0ms	(* x (- (* y z) (* t a)))
26.0ms	(* b (- (* c z) (* i a)))
29.0ms	(* j (- (* c t) (* i y)))

series245.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(- (* y z) (* t a))
70.0ms	(* x (- (* y z) (* t a)))
67.0ms	(* b (- (* c z) (* i a)))
70.0ms	(* j (- (* c t) (* i y)))

simplify56.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 1 (12.0ms)

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

prune491.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 7.7b

localize27.0ms

Local error

Found 4 expressions with local error:

3.8b	(* x (- (* y z) (* t a)))
4.0b	(* b (- (* c z) (* i a)))
5.8b	(* j (- (* c t) (* i y)))
50.1b	(fma (- a) i (* a i))

rewrite91.0ms

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:

30.0ms	(* x (- (* y z) (* t a)))
29.0ms	(* b (- (* c z) (* i a)))
27.0ms	(* j (- (* c t) (* i y)))
0.0ms	(fma (- a) i (* a i))

series253.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(* x (- (* y z) (* t a)))
69.0ms	(* b (- (* c z) (* i a)))
68.0ms	(* j (- (* c t) (* i y)))
45.0ms	(fma (- a) i (* a i))

simplify54.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	458	602
1	1909	532
2	5002	532

prune570.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 7.7b

localize32.0ms

Local error

Found 4 expressions with local error:

4.0b	(* b (- (* c z) (* i a)))
5.8b	(* j (- (* c t) (* i y)))
50.1b	(fma (- a) i (* a i))
51.2b	(fma (- a) t (* a t))

rewrite59.0ms

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:

27.0ms	(* b (- (* c z) (* i a)))
29.0ms	(* j (- (* c t) (* i y)))
0.0ms	(fma (- a) i (* a i))
0.0ms	(fma (- a) t (* a t))

series206.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(* b (- (* c z) (* i a)))
72.0ms	(* j (- (* c t) (* i y)))
30.0ms	(fma (- a) i (* a i))
29.0ms	(fma (- a) t (* a t))

simplify45.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	333	468
1	1342	412
2	5001	412

prune591.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 7.7b

localize38.0ms

Local error

Found 4 expressions with local error:

3.8b	(* x (fma y z (- (* a t))))
4.0b	(* b (- (* c z) (* i a)))
50.1b	(fma (- a) i (* a i))
51.2b	(fma (- a) t (* a t))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 70

Calls

4 calls:

7.0ms	(* x (fma y z (- (* a t))))
29.0ms	(* b (- (* c z) (* i a)))
0.0ms	(fma (- a) i (* a i))
0.0ms	(fma (- a) t (* a t))

series216.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(* x (fma y z (- (* a t))))
77.0ms	(* b (- (* c z) (* i a)))
28.0ms	(fma (- a) i (* a i))
28.0ms	(fma (- a) t (* a t))

simplify116.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	277	428
1	1113	373
2	4526	373
3	5001	373

prune494.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 7.7b

regimes1.3s

Accuracy

0% (4.1b remaining)

Error of 12.4b against oracle of 8.3b and baseline of 12.4b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	37
1	52	37
2	52	37

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.1s

19149×

body

valid