Details

sample21.0ms

Algorithm

intervals

Results

10.0ms

331×

body

valid

simplify114.0ms

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	4464	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

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y x) t)
4.2b	(fma (/ (- y x) t) z x)

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

2×	`associate-/l/`
1×	`flip3--` `frac-2neg` `div-sub` `clear-num` `flip--` `fma-udef` `div-inv`

Counts

2 → 7

Calls

2 calls:

3.0ms	(/ (- y x) t)
1.0ms	(fma (/ (- y x) t) z x)

series61.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(/ (- y x) t)
33.0ms	(fma (/ (- y x) t) z x)

simplify135.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 3 (10.0ms)

Iter	Nodes	Cost
0	72	41
1	141	41
2	244	35
3	537	31
4	903	31
5	1183	31
6	1768	31
7	2502	31
8	3180	31
9	4468	31
10	5001	31

prune24.0ms

Filtered

13 candidates to 7 candidates (53.8%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	11	2	13
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	12	3	15

Merged error: 0.1b

Counts

15 → 3

localize9.0ms

Local error

Found 2 expressions with local error:

0.5b	(- (/ y t) (/ x t))
4.2b	(fma (- (/ y t) (/ x t)) z x)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

9×	`frac-sub`
8×	`frac-2neg`
6×	`clear-num`
5×	`div-inv`
2×	`sub-div`
1×	`sub-neg` `flip3--` `distribute-rgt-out--` `fma-neg` `prod-diff` `flip--` `fma-udef`

Counts

2 → 19

Calls

2 calls:

5.0ms	(- (/ y t) (/ x t))
1.0ms	(fma (- (/ y t) (/ x t)) z x)

series49.0ms

Counts

2 → 6

Calls

2 calls:

21.0ms	(- (/ y t) (/ x t))
28.0ms	(fma (- (/ y t) (/ x t)) z x)

simplify73.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 3 (70.0ms)

Iter	Nodes	Cost
0	207	134
1	737	114
2	3177	101
3	5001	98

prune54.0ms

Filtered

25 candidates to 18 candidates (72.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	23	2	25
Fresh	1	1	2
Picked	0	1	1
Done	0	0	0
Total	24	4	28

Merged error: 0.0b

Counts

28 → 4

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (/ z t) (- y x)) x)
10.2b	(* (/ z t) (- y x))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

6×	`frac-times`
4×	`distribute-rgt-in` `sub-neg` `associate-+l+` `flip3--` `distribute-lft-in` `flip--`
3×	`fma-def` `frac-2neg` `associate-*l/` `clear-num`
2×	`associate-r/` `associate-l` `-commutative` `div-inv`
1×	`+-commutative` `flip3-+` `flip-+`

Counts

2 → 27

Calls

2 calls:

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

series85.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(+ (* (/ z t) (- y x)) x)
53.0ms	(* (/ z t) (- y x))

simplify67.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 3 (64.0ms)

Iter	Nodes	Cost
0	208	161
1	722	144
2	3429	142
3	5001	141

prune79.0ms

Filtered

33 candidates to 22 candidates (66.7%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	29	4	33
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	29	8	37

Merged error: 0.0b

Counts

37 → 8

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (/ (- y x) (/ t z)) x)
10.3b	(/ (- y x) (/ t z))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

6×	`associate-/r/`
4×	`fma-def`
3×	`frac-2neg` `clear-num` `div-inv`
2×	`div-sub` `associate-/l/`
1×	`+-commutative` `associate-+l-` `flip3--` `flip3-+` `associate-/r*` `flip--` `flip-+`

Counts

2 → 18

Calls

2 calls:

5.0ms	(+ (/ (- y x) (/ t z)) x)
4.0ms	(/ (- y x) (/ t z))

series81.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(+ (/ (- y x) (/ t z)) x)
48.0ms	(/ (- y x) (/ t z))

simplify42.0ms

Algorithm

egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 3 (39.0ms)

Iter	Nodes	Cost
0	135	97
1	384	80
2	1465	78
3	5002	76

prune50.0ms

Filtered

24 candidates to 17 candidates (70.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	22	2	24
Fresh	2	3	5
Picked	1	0	1
Done	0	2	2
Total	25	7	32

Merged error: 0.0b

Counts

32 → 7

regimes190.0ms

Accuracy

65.4% (2.2b remaining)

Error of 2.2b against oracle of 0.0b and baseline of 6.5b

bsearch72.0ms

Steps

Iters	Range		Point
8	6.367439988554813e-146	4.588023145402611e-143	2.779801418179183e-143
10	-1.348847075335251e-79	-5.6767130417445485e-92	-1.3352907999060601e-79

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	8
1	23	8

end0.0ms

sample593.0ms

Algorithm

intervals

Results

327.0ms

10685×

body

valid