Details

sample23.0ms

Algorithm

intervals

Results

11.0ms

335×

body

valid

simplify119.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	14	4
1	28	4
2	51	3
3	90	3
4	150	3
5	214	3
6	308	3
7	447	3
8	550	3
9	865	3
10	1231	3
11	1725	3
12	2728	3
13	4466	3
14	5001	3

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

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y x) t)
6.8b	(fma (/ (- y x) t) z x)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt` `*-un-lft-identity`
15×	`times-frac`
12×	`add-cube-cbrt`
5×	`associate-/l*`
4×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out--` `difference-of-squares`
3×	`associate-/r*`
2×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `div-sub` `div-exp` `clear-num` `flip--` `fma-udef` `div-inv`

Counts

2 → 50

Calls

2 calls:

6.0ms	(/ (- y x) t)
1.0ms	(fma (/ (- y x) t) z x)

series63.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(/ (- y x) t)
38.0ms	(fma (/ (- y x) t) z x)

simplify45.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 2 (14.0ms)

Iter	Nodes	Cost
0	194	271
1	528	254
2	1881	245
3	5002	245

prune119.0ms

Filtered

56 candidates to 41 candidates (73.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	50	6	56
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	50	8	58

Merged error: 0.0b

Counts

58 → 8

localize7.0ms

Local error

Found 2 expressions with local error:

0.3b	(* (- y x) (/ 1 t))
6.8b	(fma (* (- y x) (/ 1 t)) z x)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
13×	`-un-lft-identity` `associate-r*`
11×	`add-exp-log` `times-frac`
10×	`add-cube-cbrt`
7×	`add-cbrt-cube`
5×	`associate-l`
4×	`pow1` `prod-exp`
3×	`unswap-sqr`
2×	`expm1-log1p-u` `frac-times` `flip3--` `div-exp` `associate-*l/` `flip--` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `rec-exp` `1-exp` `associate-r/` `pow-prod-down` `un-div-inv` `-commutative` `fma-udef` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 54

Calls

2 calls:

10.0ms	(* (- y x) (/ 1 t))
1.0ms	(fma (* (- y x) (/ 1 t)) z x)

series63.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(* (- y x) (/ 1 t))
37.0ms	(fma (* (- y x) (/ 1 t)) z x)

simplify35.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	277	304
1	1127	260
2	5001	239

prune113.0ms

Filtered

60 candidates to 42 candidates (70.0%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	59	1	60
Fresh	2	4	6
Picked	0	1	1
Done	0	1	1
Total	61	7	68

Merged error: 0.0b

Counts

68 → 7

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ (* x z) t))
1.5b	(fma (/ z t) y (- x (/ (* x z) t)))
6.7b	(/ (* x z) t)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt` `*-un-lft-identity` `prod-diff`
19×	`add-cube-cbrt`
12×	`times-frac`
8×	`add-exp-log` `add-cbrt-cube`
5×	`add-log-exp`
4×	`div-inv`
3×	`pow1` `expm1-log1p-u` `fma-neg` `associate-/r*` `log1p-expm1-u`
2×	`cbrt-undiv` `div-exp`
1×	`sub-neg` `flip3--` `frac-2neg` `diff-log` `prod-exp` `clear-num` `flip--` `cbrt-unprod` `fma-udef` `associate-/l*` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 73

Calls

3 calls:

6.0ms	(- x (/ (* x z) t))
1.0ms	(fma (/ z t) y (- x (/ (* x z) t)))
4.0ms	(/ (* x z) t)

series84.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(- x (/ (* x z) t))
35.0ms	(fma (/ z t) y (- x (/ (* x z) t)))
19.0ms	(/ (* x z) t)

simplify45.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	323	706
1	1341	498
2	5001	494

prune135.0ms

Filtered

82 candidates to 51 candidates (62.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	80	2	82
Fresh	2	2	4
Picked	1	0	1
Done	0	2	2
Total	83	6	89

Merged error: 0.0b

Counts

89 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (/ z t) (- y x)) x)
5.2b	(* (/ z t) (- y x))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
36×	`*-un-lft-identity` `prod-diff`
34×	`add-cube-cbrt`
22×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in`
13×	`associate-l`
10×	`times-frac`
7×	`add-exp-log` `add-cbrt-cube`
5×	`associate-r`
4×	`pow1` `sub-neg` `add-log-exp`
2×	`expm1-log1p-u` `frac-times` `flip3--` `associate-*r/` `prod-exp` `flip--` `cbrt-unprod` `log1p-expm1-u` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `fma-def` `flip3-+` `div-exp` `pow-prod-down` `associate-l/` `sum-log` `-commutative` `flip-+` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 98

Calls

2 calls:

10.0ms	(+ (* (/ z t) (- y x)) x)
13.0ms	(* (/ z t) (- y x))

series86.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(+ (* (/ z t) (- y x)) x)
51.0ms	(* (/ z t) (- y x))

simplify52.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	469	779
1	1868	547
2	5001	533

prune171.0ms

Filtered

104 candidates to 71 candidates (68.3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	104	0	104
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	104	6	110

Merged error: 0.0b

Counts

110 → 6

regimes140.0ms

Accuracy

29.9% (1.6b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 2.3b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	19
1	23	19

end0.0ms

sample604.0ms

Algorithm

intervals

Results

337.0ms

10610×

body

valid