Details

sample24.0ms

Algorithm

intervals

Results

10.0ms

362×

body

valid

simplify132.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	14	4
1	25	4
2	45	4
3	84	4
4	125	4
5	149	4
6	170	4
7	284	4
8	491	4
9	824	4
10	1344	4
11	2576	4
12	3873	4
13	5001	4

prune3.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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: 7.4b

Counts

2 → 1

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(* y (- z x))
7.5b	(/ (* y (- z x)) t)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 49

Calls

2 calls:

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

series105.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(* y (- z x))
57.0ms	(/ (* y (- z x)) t)

simplify44.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	231	226
1	1033	189
2	5002	189

prune110.0ms

Filtered

55 candidates to 35 candidates (63.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	49	6	55
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	49	7	56

Merged error: 0.0b

Counts

56 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ t (- z x))
6.4b	(/ y (/ t (- z x)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
102×	`add-sqr-sqrt` `*-un-lft-identity`
70×	`add-cube-cbrt`
26×	`associate-/r*`
16×	`distribute-lft-out--` `difference-of-squares`
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` `frac-2neg` `clear-num` `add-log-exp`

Counts

2 → 139

Calls

2 calls:

6.0ms	(/ t (- z x))
15.0ms	(/ y (/ t (- z x)))

series105.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(/ t (- z x))
64.0ms	(/ y (/ t (- z x)))

simplify73.0ms

Algorithm

egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	481	1051
1	2190	1013
2	5001	1004

prune358.0ms

Filtered

145 candidates to 107 candidates (73.8%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	142	3	145
Fresh	3	2	5
Picked	1	0	1
Done	1	0	1
Total	147	5	152

Merged error: 0b

Counts

152 → 5

localize8.0ms

Local error

Found 1 expressions with local error:

6.8b	(* (/ y t) (- z x))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
13×	`associate-l`
11×	`*-un-lft-identity`
10×	`times-frac`
9×	`add-cube-cbrt`
6×	`add-exp-log` `add-cbrt-cube`
5×	`associate-r`
3×	`pow1`
2×	`distribute-rgt-in` `frac-times` `sub-neg` `flip3--` `distribute-lft-in` `associate-*r/` `prod-exp` `flip--` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `div-inv` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

1 → 42

Calls

1 calls:

10.0ms

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

series65.0ms

Counts

1 → 3

Calls

1 calls:

65.0ms

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

simplify101.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	253	228
1	991	200
2	4155	200
3	5001	200

prune95.0ms

Filtered

45 candidates to 30 candidates (66.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	45	0	45
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	45	5	50

Merged error: 0b

Counts

50 → 5

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1 (- z x))
6.9b	(/ (/ y t) (/ 1 (- z x)))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

696×	`times-frac`
384×	`add-sqr-sqrt` `*-un-lft-identity`
292×	`add-cube-cbrt`
46×	`distribute-lft-out--` `difference-of-squares`
38×	`div-inv`
31×	`associate-/r/`
28×	`add-exp-log`
26×	`associate-/r*`
18×	`div-exp`
16×	`add-cbrt-cube` `associate-/l*`
15×	`flip3--` `flip--`
9×	`cbrt-undiv`
3×	`pow1` `rec-exp` `1-exp`
2×	`frac-2neg` `clear-num` `add-log-exp`
1×	`pow-flip` `associate-/l/` `inv-pow`

Counts

2 → 372

Calls

2 calls:

6.0ms	(/ 1 (- z x))
17.0ms	(/ (/ y t) (/ 1 (- z x)))

series118.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(/ 1 (- z x))
72.0ms	(/ (/ y t) (/ 1 (- z x)))

simplify88.0ms

Algorithm

egg-herbie

Counts

378 → 378

Iterations

Useful iterations: 1 (44.0ms)

Iter	Nodes	Cost
0	1645	4160
1	5001	3758

prune711.0ms

Filtered

378 candidates to 205 candidates (54.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	378	0	378
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	378	5	383

Merged error: 0b

Counts

383 → 5

regimes118.0ms

Accuracy

22% (1.6b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 2.0b

bsearch94.0ms

Steps

Iters	Range		Point
9	3.17378385070261e-20	4.879693682790932e-14	1.99437682044041e-19
9	-3.680949032733598e+107	-5.910269212261885e+100	-1.0219579606710393e+101

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	9
1	29	9

end0.0ms

sample591.0ms

Algorithm

intervals

Results

316.0ms

10746×

body

valid