Details

sample78.0ms

Algorithm

intervals

Results

41.0ms

615×

body

valid

simplify113.0ms

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

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.7b

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* y z) (* t a))
3.3b	(fma (- (* c a) (* y i)) j (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* t i)))))
5.2b	(* x (- (* y z) (* t a)))
6.0b	(* 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	(- (* y z) (* t a))
0.0ms	(fma (- (* c a) (* y i)) j (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* t i)))))
9.0ms	(* x (- (* y z) (* t a)))
10.0ms	(* b (- (* c z) (* t i)))

series827.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(- (* y z) (* t a))
629.0ms	(fma (- (* c a) (* y i)) j (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* t i)))))
72.0ms	(* x (- (* y z) (* t a)))
77.0ms	(* b (- (* c z) (* t i)))

simplify64.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	376	645
1	1500	568
2	5001	568

prune521.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 4.1b

localize28.0ms

Local error

Found 4 expressions with local error:

3.3b	(fma (- (* c a) (* y i)) j (- (* x (- (* y z) (* t a))) (+ (* b (- (* c z) (* t i))) (* b (fma (- i) t (* i t))))))
5.2b	(* x (- (* y z) (* t a)))
6.0b	(* b (- (* c z) (* t i)))
49.6b	(fma (- i) t (* i t))

rewrite22.0ms

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:

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

series3.9s

Counts

4 → 12

Calls

4 calls:

3.7s	(fma (- (* c a) (* y i)) j (- (* x (- (* y z) (* t a))) (+ (* b (- (* c z) (* t i))) (* b (fma (- i) t (* i t))))))
76.0ms	(* x (- (* y z) (* t a)))
70.0ms	(* b (- (* c z) (* t i)))
32.0ms	(fma (- i) t (* i t))

simplify62.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 1 (16.0ms)

Iter	Nodes	Cost
0	363	664
1	1472	577
2	5001	577

prune561.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 4.1b

localize34.0ms

Local error

Found 4 expressions with local error:

5.2b	(* x (fma y z (- (* a t))))
6.0b	(* b (- (* c z) (* t i)))
49.2b	(fma (- a) t (* a t))
49.6b	(fma (- i) t (* i t))

rewrite16.0ms

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:

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

series224.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(* x (fma y z (- (* a t))))
79.0ms	(* b (- (* c z) (* t i)))
29.0ms	(fma (- a) t (* a t))
32.0ms	(fma (- i) t (* i t))

simplify141.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	276	428
1	1112	373
2	4527	373
3	5001	373

prune593.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 4.1b

localize34.0ms

Local error

Found 4 expressions with local error:

6.0b	(* b (- (* c z) (* t i)))
6.4b	(cbrt (- (* y z) (* t a)))
6.4b	(cbrt (- (* y z) (* t a)))
6.4b	(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:

9.0ms	(* b (- (* c z) (* t i)))
2.0ms	(cbrt (- (* y z) (* t a)))
2.0ms	(cbrt (- (* y z) (* t a)))
2.0ms	(cbrt (- (* y z) (* t a)))

series488.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(* b (- (* c z) (* t i)))
135.0ms	(cbrt (- (* y z) (* t a)))
136.0ms	(cbrt (- (* y z) (* t a)))
134.0ms	(cbrt (- (* y z) (* t a)))

simplify131.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	335	646
1	1158	598
2	4180	580
3	5001	580

prune538.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 4.1b

regimes1.1s

Accuracy

6.3% (6.6b remaining)

Error of 11.4b against oracle of 4.8b and baseline of 11.8b

bsearch293.0ms

Steps

Iters	Range		Point
10	2.0206017409717623e-215	2.39667843122715e-204	1.7589150951427087e-208
10	-8.647708568420719e-173	-5.154252442123009e-191	-2.3986690809889342e-188

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	77	71
1	80	71
2	80	71

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.2s

18934×

body

valid