Details

sample34.0ms

Algorithm

intervals

Results

16.0ms

392×

body

valid

simplify24.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 5 (19.0ms)

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

prune10.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.0b

Counts

2 → 2

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)) (* (* a z) b))
4.2b	(* (* a z) b)

rewrite24.0ms

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:

5.0ms	(+ (+ x (* y z)) (* t a))
3.0ms	(+ x (* y z))
9.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
5.0ms	(* (* a z) b)

series182.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(+ (+ x (* y z)) (* t a))
24.0ms	(+ x (* y z))
84.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
31.0ms	(* (* a z) b)

simplify55.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (49.0ms)

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

prune228.0ms

Filtered

85 candidates to 68 candidates (80.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	83	2	85
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	83	4	87

Merged error: 0.0b

Counts

87 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

4.2b	(* (* a z) b)
17.1b	(cbrt (* (* a z) b))
17.1b	(cbrt (* (* a z) b))
17.1b	(cbrt (* (* a z) b))

rewrite19.0ms

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:

6.0ms	(* (* a z) b)
4.0ms	(cbrt (* (* a z) b))
4.0ms	(cbrt (* (* a z) b))
4.0ms	(cbrt (* (* a z) b))

series323.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(* (* a z) b)
93.0ms	(cbrt (* (* a z) b))
105.0ms	(cbrt (* (* a z) b))
93.0ms	(cbrt (* (* a z) b))

simplify89.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 3 (83.0ms)

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

prune217.0ms

Filtered

65 candidates to 56 candidates (86.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	65	0	65
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	65	4	69

Merged error: 0.0b

Counts

69 → 4

localize8.0ms

Local error

Found 1 expressions with local error:

2.6b	(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:

1.0ms

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

series88.0ms

Counts

1 → 3

Calls

1 calls:

88.0ms

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

simplify58.0ms

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

Filtered

13 candidates to 12 candidates (92.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	13	0	13
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	13	4	17

Merged error: 0.0b

Counts

17 → 4

localize13.0ms

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))
5.9b	(* a (* z b))

rewrite24.0ms

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:

5.0ms	(+ (+ x (* y z)) (* t a))
3.0ms	(+ x (* y z))
9.0ms	(+ (+ (+ x (* y z)) (* t a)) (pow (* a (* z b)) 1))
5.0ms	(* a (* z b))

series180.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(+ (+ x (* y z)) (* t a))
28.0ms	(+ x (* y z))
78.0ms	(+ (+ (+ x (* y z)) (* t a)) (pow (* a (* z b)) 1))
30.0ms	(* a (* z b))

simplify52.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 2 (45.0ms)

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

prune241.0ms

Filtered

86 candidates to 68 candidates (79.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	86	4	90

Merged error: 0.0b

Counts

90 → 4

regimes209.0ms

Accuracy

91.9% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 2.0b

bsearch105.0ms

Steps

Iters	Range		Point
8	4.2099734482888267e+74	4.4758815200121525e+77	4.2544590870149226e+74
8	-2.1770653492210888e+33	-7.172260698984617e+29	-2.8105703355219627e+31

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	11
1	36	11

end0.0ms

sample832.0ms

Algorithm

intervals

Results

432.0ms

11795×

body

valid