Details

sample76.0ms

Algorithm

intervals

Results

41.0ms

636×

body

valid

simplify86.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

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: 11.7b

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* c z) (* i a))
3.2b	(fma (- (* c t) (* i y)) j (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a)))))
5.2b	(* b (- (* c z) (* i a)))
6.1b	(* x (- (* y z) (* t a)))

rewrite20.0ms

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:

6.0ms	(- (* c z) (* i a))
1.0ms	(fma (- (* c t) (* i y)) j (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a)))))
6.0ms	(* b (- (* c z) (* i a)))
6.0ms	(* x (- (* y z) (* t a)))

series702.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(- (* c z) (* i a))
542.0ms	(fma (- (* c t) (* i y)) j (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a)))))
64.0ms	(* b (- (* c z) (* i a)))
62.0ms	(* x (- (* y z) (* t a)))

simplify45.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	373	645
1	1485	568
2	5001	568

prune548.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 4.1b

localize29.0ms

Local error

Found 4 expressions with local error:

3.2b	(fma (- (* c t) (* i y)) j (- (+ (* x (fma y z (- (* a t)))) (* x (fma (- a) t (* a t)))) (* b (- (* c z) (* i a)))))
5.2b	(* b (- (* c z) (* i a)))
6.1b	(* x (fma y z (- (* a t))))
49.3b	(fma (- a) t (* a t))

rewrite13.0ms

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:

1.0ms	(fma (- (* c t) (* i y)) j (- (+ (* x (fma y z (- (* a t)))) (* x (fma (- a) t (* a t)))) (* b (- (* c z) (* i a)))))
6.0ms	(* b (- (* c z) (* i a)))
4.0ms	(* x (fma y z (- (* a t))))
1.0ms	(fma (- a) t (* a t))

series3.6s

Counts

4 → 12

Calls

4 calls:

3.4s	(fma (- (* c t) (* i y)) j (- (+ (* x (fma y z (- (* a t)))) (* x (fma (- a) t (* a t)))) (* b (- (* c z) (* i a)))))
65.0ms	(* b (- (* c z) (* i a)))
71.0ms	(* x (fma y z (- (* a t))))
26.0ms	(fma (- a) t (* a t))

simplify42.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	315	624
1	1247	538
2	5002	538

prune436.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 4.1b

localize35.0ms

Local error

Found 4 expressions with local error:

5.2b	(* b (- (* c z) (* i a)))
6.1b	(* x (- (* y z) (* t a)))
6.1b	(* x (- (* y z) (* t a)))
6.1b	(* x (- (* y z) (* t a)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 112

Calls

4 calls:

7.0ms	(* b (- (* c z) (* i a)))
7.0ms	(* x (- (* y z) (* t a)))
6.0ms	(* x (- (* y z) (* t a)))
7.0ms	(* x (- (* y z) (* t a)))

series324.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(* b (- (* c z) (* i a)))
79.0ms	(* x (- (* y z) (* t a)))
77.0ms	(* x (- (* y z) (* t a)))
85.0ms	(* x (- (* y z) (* t a)))

simplify50.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	307	736
1	1265	652
2	5001	652

prune704.0ms

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 4.1b

localize44.0ms

Local error

Found 4 expressions with local error:

5.2b	(* b (- (* c z) (* i a)))
5.2b	(* b (- (* c z) (* i a)))
6.1b	(* x (- (* y z) (* t a)))
6.1b	(* x (- (* y z) (* t a)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 112

Calls

4 calls:

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

series321.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(* b (- (* c z) (* i a)))
82.0ms	(* b (- (* c z) (* i a)))
77.0ms	(* x (- (* y z) (* t a)))
80.0ms	(* x (- (* y z) (* t a)))

simplify51.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	307	736
1	1265	652
2	5001	652

prune775.0ms

Pruning

15 alts after pruning (12 fresh and 3 done)

Merged error: 4.1b

regimes877.0ms

Accuracy

-3.5% (7.2b remaining)

Error of 12.3b against oracle of 5.1b and baseline of 12.0b

bsearch136.0ms

Steps

Iters	Range		Point
9	-5.968613218146339e+77	-6.597800075676793e+72	-2.8861548635551053e+77

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	25
1	54	25
2	54	25

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.2s

19058×

body

valid