Details

sample21.0ms

Algorithm

intervals

Results

9.0ms

356×

body

valid

simplify106.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

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

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 1 expressions with local error:

2.0b	(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)

series31.0ms

Counts

1 → 3

Calls

1 calls:

31.0ms

(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

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	11	2	13
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	11	4	15

Merged error: 0.0b

Counts

15 → 4

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(* y (- z x))
0.0b	(+ x (/ (* y (- z x)) t))
7.2b	(/ (* y (- z x)) t)

rewrite26.0ms

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))
11.0ms	(/ (* y (- z x)) t)

series118.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(* y (- z x))
39.0ms	(+ x (/ (* y (- z x)) t))
45.0ms	(/ (* y (- z x)) t)

simplify49.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (42.0ms)

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

prune163.0ms

Filtered

97 candidates to 56 candidates (57.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	93	4	97
Fresh	2	0	2
Picked	1	0	1
Done	0	1	1
Total	96	5	101

Merged error: 0.0b

Counts

101 → 5

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ t (- z x))
0.0b	(+ x (/ y (/ t (- z x))))
6.5b	(/ y (/ t (- z x)))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
106×	`*-un-lft-identity`
104×	`add-sqr-sqrt`
72×	`add-cube-cbrt`
26×	`associate-/r*`
16×	`distribute-lft-out--` `difference-of-squares`
11×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube`
6×	`div-inv` `associate-/l*`
5×	`flip3--` `flip--` `add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `expm1-log1p-u` `fma-def` `log1p-expm1-u`
2×	`frac-2neg` `clear-num`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 160

Calls

3 calls:

5.0ms	(/ t (- z x))
21.0ms	(+ x (/ y (/ t (- z x))))
13.0ms	(/ y (/ t (- z x)))

series122.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(/ t (- z x))
36.0ms	(+ x (/ y (/ t (- z x))))
58.0ms	(/ y (/ t (- z x)))

simplify68.0ms

Algorithm

egg-herbie

Counts

169 → 169

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	551	1174
1	2401	1128
2	5001	1122

prune378.0ms

Filtered

169 candidates to 129 candidates (76.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	167	2	169
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	168	6	174

Merged error: 0b

Counts

174 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- z x))
0.0b	(+ x (/ (/ y t) (/ 1 (- z x))))
6.7b	(/ (/ y t) (/ 1 (- z x)))

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

696×	`times-frac`
388×	`*-un-lft-identity`
386×	`add-sqr-sqrt`
294×	`add-cube-cbrt`
46×	`distribute-lft-out--` `difference-of-squares`
38×	`div-inv`
31×	`associate-/r/`
29×	`add-exp-log`
26×	`associate-/r*`
18×	`div-exp`
17×	`add-cbrt-cube`
16×	`associate-/l*`
15×	`flip3--` `flip--`
9×	`cbrt-undiv`
5×	`add-log-exp`
4×	`pow1`
3×	`expm1-log1p-u` `rec-exp` `fma-def` `1-exp` `log1p-expm1-u`
2×	`frac-2neg` `clear-num`
1×	`+-commutative` `pow-flip` `flip3-+` `sum-log` `flip-+` `associate-/l/` `distribute-lft-out` `inv-pow`

Counts

3 → 393

Calls

3 calls:

6.0ms	(/ 1 (- z x))
65.0ms	(+ x (/ (/ y t) (/ 1 (- z x))))
16.0ms	(/ (/ y t) (/ 1 (- z x)))

series126.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(/ 1 (- z x))
40.0ms	(+ x (/ (/ y t) (/ 1 (- z x))))
51.0ms	(/ (/ y t) (/ 1 (- z x)))

simplify79.0ms

Algorithm

egg-herbie

Counts

402 → 402

Iterations

Useful iterations: 1 (33.0ms)

Iter	Nodes	Cost
0	1716	4280
1	5001	3892

prune733.0ms

Filtered

402 candidates to 226 candidates (56.2%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	402	0	402
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	402	6	408

Merged error: 0b

Counts

408 → 6

regimes106.0ms

Accuracy

-33.6% (2.5b remaining)

Error of 2.5b against oracle of 0.0b and baseline of 1.9b

bsearch45.0ms

Steps

Iters	Range		Point
6	1.6734209143969258e-241	7.710247183460173e-241	1.6988391527505147e-241
6	-2.906944940673863e-48	-2.1322320813282772e-49	-2.1832233794878784e-49

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	7
1	21	7

end0.0ms

sample604.0ms

Algorithm

intervals

Results

313.0ms

10749×

body

valid