Details

analyze628.0ms

Algorithm: search

sample22.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
2.0ms	58×	body	80	invalid

simplify107.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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	2128	4
12	3385	4
13	5002	4

prune4.0ms

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: 6.2b

Counts

2 → 1

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(* y (- z x))
0.0b	(+ x (/ (* y (- z x)) t))
5.9b	(/ (* y (- z x)) t)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`add-exp-log` `add-cbrt-cube`
7×	`add-cube-cbrt`
5×	`pow1` `associate-r` `add-log-exp`
4×	`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/`
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 → 61

Calls

3 calls:

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

series30.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(* y (- z x))
11.0ms	(+ x (/ (* y (- z x)) t))
12.0ms	(/ (* y (- z x)) t)

simplify39.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	290	325
1	1223	280
2	5001	280

prune91.0ms

Filtered

45 candidates to 70 candidates (-55.6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	62	8	70
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	63	8	71

Merged error: 0.0b

Counts

71 → 8

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(* y (- z x))
0.0b	(+ x (* (* y (- z x)) (/ 1 t)))
5.9b	(* (* y (- z x)) (/ 1 t))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 79

Calls

3 calls:

6.0ms	(* y (- z x))
3.0ms	(+ x (* (* y (- z x)) (/ 1 t)))
10.0ms	(* (* y (- z x)) (/ 1 t))

series30.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(* y (- z x))
11.0ms	(+ x (* (* y (- z x)) (/ 1 t)))
12.0ms	(* (* y (- z x)) (/ 1 t))

simplify57.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	417	472
1	2153	394
2	5002	380

prune92.0ms

Filtered

53 candidates to 88 candidates (-66.0%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	86	2	88
Fresh	2	5	7
Picked	0	1	1
Done	0	0	0
Total	88	8	96

Merged error: 0.0b

Counts

96 → 8

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))))
5.9b	(/ t (* y (- z x)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

42×	`times-frac`
32×	`add-exp-log`
31×	`*-un-lft-identity`
30×	`add-sqr-sqrt`
26×	`add-cube-cbrt`
20×	`add-cbrt-cube`
14×	`div-exp`
12×	`associate-*r/`
11×	`associate-/r/`
10×	`associate-/r*`
7×	`pow1` `cbrt-undiv` `div-inv`
6×	`flip3--` `flip--` `associate-/l*` `add-log-exp`
5×	`associate-r` `prod-exp`
3×	`rec-exp` `1-exp` `associate-l` `cbrt-unprod`
2×	`distribute-rgt-in` `sub-neg` `frac-2neg` `distribute-lft-in` `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 → 126

Calls

4 calls:

12.0ms	(+ x (/ 1 (/ t (* y (- z x)))))
6.0ms	(* y (- z x))
9.0ms	(/ 1 (/ t (* y (- z x))))
6.0ms	(/ t (* y (- z x)))

series41.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(+ x (/ 1 (/ t (* y (- z x)))))
7.0ms	(* y (- z x))
12.0ms	(/ 1 (/ t (* y (- z x))))
10.0ms	(/ t (* y (- z x)))

simplify54.0ms

Algorithm

egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	447	814
1	2087	667
2	5001	650

prune113.0ms

Filtered

74 candidates to 138 candidates (-86.5%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	137	1	138
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	137	9	146

Merged error: 0.0b

Counts

146 → 9

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ 1 (/ (/ t y) (- z x))))
0.4b	(/ 1 (/ (/ t y) (- z x)))
6.6b	(/ (/ t y) (- z x))

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

772×	`times-frac`
462×	`*-un-lft-identity`
459×	`add-sqr-sqrt`
327×	`add-cube-cbrt`
76×	`associate-/r*`
66×	`distribute-lft-out--` `difference-of-squares`
33×	`div-inv`
29×	`add-exp-log`
18×	`div-exp`
17×	`add-cbrt-cube`
16×	`associate-/l*`
11×	`associate-/r/`
9×	`cbrt-undiv`
5×	`flip3--` `flip--` `add-log-exp`
4×	`pow1`
3×	`rec-exp` `1-exp`
2×	`frac-2neg` `clear-num` `distribute-lft-out`
1×	`+-commutative` `pow-flip` `flip3-+` `sum-log` `flip-+` `associate-/l/` `inv-pow`

Counts

3 → 425

Calls

3 calls:

52.0ms	(+ x (/ 1 (/ (/ t y) (- z x))))
21.0ms	(/ 1 (/ (/ t y) (- z x)))
9.0ms	(/ (/ t y) (- z x))

series34.0ms

Counts

3 → 9

Calls

3 calls:

11.0ms	(+ x (/ 1 (/ (/ t y) (- z x))))
13.0ms	(/ 1 (/ (/ t y) (- z x)))
10.0ms	(/ (/ t y) (- z x))

simplify79.0ms

Algorithm

egg-herbie

Counts

434 → 434

Iterations

Useful iterations: 1 (31.0ms)

Iter	Nodes	Cost
0	1412	4507
1	5001	3661

prune211.0ms

Filtered

203 candidates to 434 candidates (-113.8%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	432	2	434
Fresh	4	2	6
Picked	0	1	1
Done	0	2	2
Total	436	7	443

Merged error: 0b

Counts

443 → 7

regimes307.0ms

Accuracy

28.3% (1.5b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 2.1b

bsearch1.2s

Steps

Iters	Range		Point
10	6.446179539405725e-47	2.0201119444909227e-32	5.34290708752973e-33
7	-1.963236156629989e-59	-8.093234550696168e-61	-1.0932009212774863e-60

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	13
1	28	13

end0.0ms

analyze614.0ms

Algorithm: search

sample585.0ms

Algorithm

intervals

Results

258.0ms	8000×	body	80	valid
71.0ms	2130×	body	80	invalid

Details

analyze628.0ms

sample22.0ms

simplify107.0ms

prune4.0ms

localize11.0ms

rewrite20.0ms

series30.0ms

simplify39.0ms

prune91.0ms

localize8.0ms

rewrite22.0ms

series30.0ms

simplify57.0ms

prune92.0ms

localize8.0ms

rewrite38.0ms

series41.0ms

simplify54.0ms

prune113.0ms

localize8.0ms

rewrite112.0ms

series34.0ms

simplify79.0ms

prune211.0ms

regimes307.0ms

bsearch1.2s

simplify1.0ms

end0.0ms

analyze614.0ms

sample585.0ms

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