Details

sample81.0ms

Algorithm

intervals

Results

43.0ms

636×

body

valid

simplify89.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.7b

localize20.0ms

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)))

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` `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:

4.0ms	(- (* c z) (* i a))
1.0ms	(fma (- (* c t) (* i y)) j (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a)))))
9.0ms	(* b (- (* c z) (* i a)))
6.0ms	(* x (- (* y z) (* t a)))

series1.0s

Counts

4 → 12

Calls

4 calls:

43.0ms	(- (* c z) (* i a))
821.0ms	(fma (- (* c t) (* i y)) j (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a)))))
82.0ms	(* b (- (* c z) (* i a)))
74.0ms	(* x (- (* y z) (* t a)))

simplify57.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 1 (12.0ms)

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

prune465.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 4.1b

localize26.0ms

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))

series4.1s

Counts

4 → 12

Calls

4 calls:

3.9s	(fma (- (* c t) (* i y)) j (- (+ (* x (fma y z (- (* a t)))) (* x (fma (- a) t (* a t)))) (* b (- (* c z) (* i a)))))
85.0ms	(* b (- (* c z) (* i a)))
88.0ms	(* x (fma y z (- (* a t))))
30.0ms	(fma (- a) t (* a t))

simplify44.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 1 (9.0ms)

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

prune439.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 4.1b

localize40.0ms

Local error

Found 4 expressions with local error:

6.1b	(* x (fma y z (- (* a t))))
49.3b	(fma (- a) t (* a t))
49.3b	(fma (- a) t (* a t))
49.3b	(fma (- a) t (* a t))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 52

Calls

4 calls:

4.0ms	(* x (fma y z (- (* a t))))
1.0ms	(fma (- a) t (* a t))
1.0ms	(fma (- a) t (* a t))
1.0ms	(fma (- a) t (* a t))

series195.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(* x (fma y z (- (* a t))))
33.0ms	(fma (- a) t (* a t))
41.0ms	(fma (- a) t (* a t))
32.0ms	(fma (- a) t (* a t))

simplify62.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 3 (56.0ms)

Iter	Nodes	Cost
0	114	294
1	441	253
2	1771	253
3	5002	229

prune487.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 4.1b

localize52.0ms

Local error

Found 4 expressions with local error:

6.1b	(* x (fma y z (- (* a t))))
49.3b	(fma (- a) t (* a t))
49.3b	(fma (- a) t (* a t))
49.3b	(fma (- a) t (* a t))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 52

Calls

4 calls:

4.0ms	(* x (fma y z (- (* a t))))
1.0ms	(fma (- a) t (* a t))
1.0ms	(fma (- a) t (* a t))
1.0ms	(fma (- a) t (* a t))

series173.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(* x (fma y z (- (* a t))))
28.0ms	(fma (- a) t (* a t))
37.0ms	(fma (- a) t (* a t))
32.0ms	(fma (- a) t (* a t))

simplify55.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 3 (50.0ms)

Iter	Nodes	Cost
0	114	294
1	441	253
2	1771	253
3	5002	229

prune521.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 4.1b

regimes879.0ms

Accuracy

-2.8% (8.0b remaining)

Error of 13.1b against oracle of 5.1b and baseline of 12.9b

bsearch107.0ms

Steps

Iters	Range		Point
7	-6.597800075676793e+72	-1.0376812636170104e+71	-5.192723196693336e+72

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	66
1	58	66
2	58	66

end0.0ms

sample2.2s

Algorithm

intervals

Results

1.2s

19058×

body

valid