Details

sample24.0ms

Algorithm

intervals

Results

12.0ms

330×

body

valid

simplify114.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	14	4
1	25	4
2	48	3
3	96	3
4	153	3
5	203	3
6	247	3
7	401	3
8	680	3
9	1133	3
10	1866	3
11	3291	3
12	4745	3
13	5001	3

prune7.0ms

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 1 expressions with local error:

2.2b	(fma (/ y t) (- 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 t) (- z x) x)

series27.0ms

Counts

1 → 3

Calls

1 calls:

27.0ms

(fma (/ y t) (- z x) x)

simplify39.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	40	69
1	93	62
2	270	53
3	1300	53
4	5001	53

prune31.0ms

Filtered

13 candidates to 10 candidates (76.9%)

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: 0.0b

Counts

15 → 3

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (/ y t) (- z x)) x)
7.3b	(* (/ y t) (- z x))

rewrite25.0ms

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

series88.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(+ (* (/ y t) (- z x)) x)
55.0ms	(* (/ y t) (- z x))

simplify55.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	468	779
1	1870	547
2	5001	533

prune200.0ms

Filtered

104 candidates to 71 candidates (68.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	99	5	104
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	99	8	107

Merged error: 0b

Counts

107 → 8

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(* y (- z x))
0.0b	(+ x (/ (* y (- z x)) t))
4.9b	(/ (* y (- z x)) t)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 88

Calls

3 calls:

7.0ms	(* y (- z x))
5.0ms	(+ x (/ (* y (- z x)) t))
8.0ms	(/ (* y (- z x)) t)

series119.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(* y (- z x))
38.0ms	(+ x (/ (* y (- z x)) t))
46.0ms	(/ (* y (- z x)) t)

simplify54.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	377	600
1	1715	428
2	5003	420

prune142.0ms

Filtered

97 candidates to 58 candidates (59.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	95	2	97
Fresh	4	2	6
Picked	1	0	1
Done	0	1	1
Total	100	5	105

Merged error: 0b

Counts

105 → 5

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ 1 (/ t (* y (- z x)))))
0.0b	(* y (- z x))
0.4b	(/ 1 (/ t (* y (- z x))))
4.9b	(/ t (* y (- z x)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

44×	`*-un-lft-identity`
43×	`add-sqr-sqrt`
42×	`times-frac`
39×	`add-cube-cbrt`
32×	`add-exp-log`
20×	`add-cbrt-cube`
18×	`prod-diff`
14×	`div-exp`
12×	`associate-*r/`
11×	`distribute-rgt-in` `distribute-lft-in` `associate-/r/`
10×	`associate-/r*`
7×	`pow1` `cbrt-undiv` `div-inv`
6×	`flip3--` `flip--` `associate-/l*` `add-log-exp`
5×	`associate-r` `prod-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`rec-exp` `fma-def` `1-exp` `associate-l` `cbrt-unprod`
2×	`sub-neg` `frac-2neg` `clear-num` `distribute-lft-out`
1×	`+-commutative` `pow-flip` `flip3-+` `pow-prod-down` `sum-log` `*-commutative` `flip-+` `distribute-lft-out--` `inv-pow` `difference-of-squares` `unswap-sqr`

Counts

4 → 155

Calls

4 calls:

10.0ms	(+ x (/ 1 (/ t (* y (- z x)))))
8.0ms	(* y (- z x))
9.0ms	(/ 1 (/ t (* y (- z x))))
7.0ms	(/ t (* y (- z x)))

series164.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(+ x (/ 1 (/ t (* y (- z x)))))
39.0ms	(* y (- z x))
50.0ms	(/ 1 (/ t (* y (- z x))))
41.0ms	(/ t (* y (- z x)))

simplify69.0ms

Algorithm

egg-herbie

Counts

167 → 167

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	534	1104
1	2513	820
2	5002	805

prune209.0ms

Filtered

167 candidates to 90 candidates (53.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	167	0	167
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	167	5	172

Merged error: 0b

Counts

172 → 5

regimes106.0ms

Accuracy

41% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 2.0b

bsearch79.0ms

Steps

Iters	Range		Point
9	3.278345425089741e+27	1.8731059256079885e+35	3.5902872314901977e+27
9	-1.1603533628103422e-29	-1.3742896650469235e-34	-4.843382572618535e-33

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	9
1	28	9

end0.0ms

sample608.0ms

Algorithm

intervals

Results

336.0ms

10658×

body

valid