Details

sample38.0ms

Algorithm

intervals

Results

14.0ms

398×

body

valid

simplify16.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 5 (13.0ms)

Iter	Nodes	Cost
0	26	7
1	68	4
2	140	4
3	200	4
4	214	4
5	217	3
6	217	3

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ x (* y z)) (* t a))
0.0b	(+ x (* y z))
0.0b	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
5.5b	(* (* a z) b)

rewrite137.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-log-exp`
10×	`sum-log`
9×	`pow1` `add-exp-log` `fma-def` `add-cbrt-cube`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`+-commutative` `flip3-+` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip-+`
2×	`associate-+l+`
1×	`associate-l` `*-commutative`

Counts

4 → 73

Calls

4 calls:

22.0ms	(+ (+ x (* y z)) (* t a))
5.0ms	(+ x (* y z))
92.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
16.0ms	(* (* a z) b)

series154.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(+ (+ x (* y z)) (* t a))
20.0ms	(+ x (* y z))
71.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
24.0ms	(* (* a z) b)

simplify50.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	358	405
1	1787	339
2	5002	330

prune218.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

5.5b	(* (* a z) b)
13.0b	(cbrt (* (* a z) b))
13.0b	(cbrt (* (* a z) b))
13.0b	(cbrt (* (* a z) b))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`associate-l` `*-commutative`

Counts

4 → 53

Calls

4 calls:

16.0ms	(* (* a z) b)
12.0ms	(cbrt (* (* a z) b))
13.0ms	(cbrt (* (* a z) b))
12.0ms	(cbrt (* (* a z) b))

series268.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* (* a z) b)
82.0ms	(cbrt (* (* a z) b))
82.0ms	(cbrt (* (* a z) b))
83.0ms	(cbrt (* (* a z) b))

simplify73.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 3 (69.0ms)

Iter	Nodes	Cost
0	185	316
1	726	268
2	3235	259
3	5001	240

prune232.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

2.7b	(fma (fma a b y) z (fma a t x))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma (fma a b y) z (fma a t x))

series76.0ms

Counts

1 → 3

Calls

1 calls:

76.0ms

(fma (fma a b y) z (fma a t x))

simplify53.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	44	58
1	93	51
2	307	49
3	2032	49
4	5002	49

prune42.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ x (* y z)) (* t a))
0.0b	(+ x (* y z))
0.0b	(+ (+ (+ x (* y z)) (* t a)) (pow (* a (* z b)) 1))
5.4b	(* a (* z b))

rewrite136.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-log-exp`
10×	`*-un-lft-identity` `sum-log`
9×	`pow1` `add-exp-log` `fma-def` `add-cbrt-cube`
8×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`+-commutative` `flip3-+` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip-+`
2×	`associate-+l+`
1×	`associate-r` `*-commutative` `distribute-lft-out`

Counts

4 → 74

Calls

4 calls:

22.0ms	(+ (+ x (* y z)) (* t a))
5.0ms	(+ x (* y z))
92.0ms	(+ (+ (+ x (* y z)) (* t a)) (pow (* a (* z b)) 1))
15.0ms	(* a (* z b))

series153.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(+ (+ x (* y z)) (* t a))
20.0ms	(+ x (* y z))
70.0ms	(+ (+ (+ x (* y z)) (* t a)) (pow (* a (* z b)) 1))
22.0ms	(* a (* z b))

simplify47.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	354	430
1	1662	349
2	5002	339

prune244.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes178.0ms

Accuracy

92.7% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 2.1b

bsearch74.0ms

Steps

Iters	Range		Point
9	1.8034992792673283e-93	9.357404911228539e-86	9.674444679566242e-89
6	-8.645478429844785e-08	-7.56002747180116e-09	-9.759903924293656e-09

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	11
1	36	11

end0.0ms

sample1.0s

Algorithm

intervals

Results

396.0ms

11903×

body

valid