Details

sample19.0ms

Algorithm

intervals

Results

10.0ms

309×

body

valid

simplify51.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 7 (12.0ms)

Iter	Nodes	Cost
0	16	3
1	24	3
2	38	3
3	45	3
4	53	3
5	57	3
6	67	3
7	309	2
8	2125	2
9	5001	2

prune6.0ms

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: 0.1b

Counts

2 → 2

localize4.0ms

Local error

Found 1 expressions with local error:

3.2b	(fma (/ y z) x 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 (/ y z) x x)

series25.0ms

Counts

1 → 3

Calls

1 calls:

25.0ms

(fma (/ y z) x x)

simplify140.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	26	44
1	62	39
2	205	39
3	849	39
4	4785	39
5	5001	39

prune29.0ms

Filtered

13 candidates to 10 candidates (76.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	10	3	13
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	10	5	15

Merged error: 0.0b

Counts

15 → 5

localize8.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma (/ y z) x x))
3.2b	(fma (/ y z) x x)
3.2b	(fma (/ y z) x x)
3.2b	(fma (/ y z) x x)

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `fma-udef`
1×	`pow1/3`

Counts

4 → 43

Calls

4 calls:

1.0ms	(cbrt (fma (/ y z) x x))
1.0ms	(fma (/ y z) x x)
1.0ms	(fma (/ y z) x x)
1.0ms	(fma (/ y z) x x)

series203.0ms

Counts

4 → 12

Calls

4 calls:

122.0ms	(cbrt (fma (/ y z) x x))
28.0ms	(fma (/ y z) x x)
26.0ms	(fma (/ y z) x x)
27.0ms	(fma (/ y z) x x)

simplify113.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 3 (31.0ms)

Iter	Nodes	Cost
0	102	227
1	252	205
2	978	202
3	4867	197
4	5001	197

prune127.0ms

Filtered

55 candidates to 44 candidates (80.0%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	53	2	55
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	53	7	60

Merged error: 0.0b

Counts

60 → 7

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (+ y z))
9.8b	(/ (* x (+ y z)) z)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-exp-log` `add-cbrt-cube`
8×	`add-sqr-sqrt` `*-un-lft-identity`
6×	`add-cube-cbrt`
4×	`pow1` `associate-r/` `associate-r*`
3×	`times-frac` `associate-l` `associate-/r*`
2×	`cbrt-undiv` `expm1-log1p-u` `flip3-+` `div-exp` `prod-exp` `cbrt-unprod` `flip-+` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `pow-prod-down` `clear-num` `-commutative` `div-inv` `distribute-lft-out` `associate-/l` `unswap-sqr`

Counts

2 → 50

Calls

2 calls:

6.0ms	(* x (+ y z))
6.0ms	(/ (* x (+ y z)) z)

series61.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(* x (+ y z))
37.0ms	(/ (* x (+ y z)) z)

simplify37.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	234	220
1	1134	191
2	5001	188

prune83.0ms

Filtered

56 candidates to 39 candidates (69.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	52	4	56
Fresh	3	1	4
Picked	0	1	1
Done	1	1	2
Total	56	7	63

Merged error: 0b

Counts

63 → 7

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ z (+ y z))
3.0b	(/ x (/ z (+ y z)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

114×	`times-frac`
94×	`*-un-lft-identity`
62×	`add-sqr-sqrt` `add-cube-cbrt`
22×	`associate-/r*`
16×	`distribute-lft-out`
11×	`associate-/r/`
9×	`add-exp-log` `add-cbrt-cube`
6×	`div-inv` `associate-/l*`
5×	`flip3-+` `flip-+`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `add-log-exp`

Counts

2 → 127

Calls

2 calls:

5.0ms	(/ z (+ y z))
11.0ms	(/ x (/ z (+ y z)))

series83.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(/ z (+ y z))
42.0ms	(/ x (/ z (+ y z)))

simplify54.0ms

Algorithm

egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	420	883
1	1912	847
2	5002	841

prune190.0ms

Filtered

133 candidates to 96 candidates (72.2%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	133	0	133
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	133	7	140

Merged error: 0b

Counts

140 → 7

regimes135.0ms

Accuracy

10.4% (2.6b remaining)

Error of 2.6b against oracle of 0.0b and baseline of 2.9b

bsearch60.0ms

Steps

Iters	Range		Point
8	3.4865853446063015e-82	3.9491361661737865e-79	1.625898787739303e-80
8	-2.0572656673762017e-59	-2.6026277124798173e-63	-6.907406195640498e-60

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	8
1	18	8

end0.0ms

sample446.0ms

Algorithm

intervals

Results

251.0ms

9563×

body

valid