Details

sample17.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	6
1	24	6
2	28	6
3	28	6

prune2.0ms

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: 3.1b

Counts

2 → 1

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
0.0b	(* 1.1283791670955126 (exp z))
1.2b	(- (* 1.1283791670955126 (exp z)) (* x y))
8.6b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt` `*-un-lft-identity`
15×	`add-cube-cbrt`
9×	`times-frac`
8×	`add-cbrt-cube` `add-log-exp`
7×	`add-exp-log`
6×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`fma-def` `associate-r` `associate-l` `associate-/r` `associate-/l`
2×	`flip3--` `associate-/r/` `flip--`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `frac-2neg` `flip3-+` `fma-neg` `diff-log` `div-exp` `prod-diff` `pow-prod-down` `prod-exp` `clear-num` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `div-inv` `distribute-lft-out` `unswap-sqr`

Counts

4 → 84

Calls

4 calls:

12.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
5.0ms	(* 1.1283791670955126 (exp z))
5.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
6.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series178.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
16.0ms	(* 1.1283791670955126 (exp z))
57.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
66.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify42.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	356	637
1	1280	593
2	5001	590

prune213.0ms

Filtered

96 candidates to 76 candidates (79.2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	91	5	96
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	92	5	97

Merged error: 0b

Counts

97 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 1.1283791670955126 (exp z))
0.1b	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
1.2b	(- (* 1.1283791670955126 (exp z)) (* x y))
8.6b	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
58×	`add-sqr-sqrt`
56×	`add-cube-cbrt` `*-un-lft-identity`
18×	`add-exp-log`
16×	`associate-/r*`
13×	`add-cbrt-cube`
8×	`div-exp`
7×	`pow1`
6×	`div-inv` `associate-/l*` `add-log-exp`
4×	`cbrt-undiv` `expm1-log1p-u` `log1p-expm1-u`
3×	`associate-r` `associate-l`
2×	`rec-exp` `flip3--` `frac-2neg` `1-exp` `clear-num` `flip--` `associate-/l/`
1×	`sub-neg` `pow-flip` `fma-neg` `diff-log` `div-sub` `prod-diff` `pow-prod-down` `prod-exp` `associate-/r/` `*-commutative` `cbrt-unprod` `inv-pow` `unswap-sqr`

Counts

4 → 146

Calls

4 calls:

9.0ms	(* 1.1283791670955126 (exp z))
8.0ms	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
5.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
7.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

series194.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(* 1.1283791670955126 (exp z))
50.0ms	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
59.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
68.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

simplify70.0ms

Algorithm

egg-herbie

Counts

158 → 158

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	547	1434
1	2526	1298
2	5002	1226

prune257.0ms

Filtered

158 candidates to 99 candidates (62.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	157	1	158
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	158	5	163

Merged error: 0b

Counts

163 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y) 3)
1.2b	(- (* 1.1283791670955126 (exp z)) (* x y))
8.6b	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)
30.5b	(cbrt (pow (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y) 3))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

45×	`times-frac`
42×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
32×	`cbrt-prod`
26×	`unpow-prod-down` `cube-prod`
9×	`add-exp-log` `add-cbrt-cube`
6×	`add-log-exp`
5×	`pow1` `div-inv`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`pow-unpow` `associate-/r` `associate-/l`
2×	`cbrt-undiv` `cube-div` `cube-mult` `flip3--` `unpow3` `div-exp` `pow-exp` `flip--` `associate-/l/` `rem-cube-cbrt` `sqr-pow`
1×	`pow-to-exp` `sub-neg` `cbrt-div` `pow-pow` `frac-2neg` `fma-neg` `pow1/3` `diff-log` `div-sub` `prod-diff` `clear-num` `rem-cbrt-cube`

Counts

4 → 140

Calls

4 calls:

7.0ms	(pow (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y) 3)
8.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
7.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)
7.0ms	(cbrt (pow (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y) 3))

series333.0ms

Counts

4 → 12

Calls

4 calls:

121.0ms	(pow (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y) 3)
53.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
71.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)
89.0ms	(cbrt (pow (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y) 3))

simplify74.0ms

Algorithm

egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	567	1441
1	2544	1345
2	5001	1333

prune309.0ms

Filtered

152 candidates to 92 candidates (60.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	152	0	152
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	152	5	157

Merged error: 0b

Counts

157 → 5

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b	(- x (/ 1 x))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt`
40×	`*-un-lft-identity`
39×	`prod-diff`
36×	`add-cube-cbrt`
29×	`times-frac`
4×	`div-inv`
3×	`fma-neg` `add-log-exp` `difference-of-squares`
2×	`distribute-lft-out--`
1×	`pow1` `add-exp-log` `expm1-log1p-u` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--` `log1p-expm1-u`

Counts

1 → 61

Calls

1 calls:

12.0ms

(- x (/ 1 x))

series26.0ms

Counts

1 → 3

Calls

1 calls:

26.0ms

(- x (/ 1 x))

simplify40.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	334	980
1	1162	563
2	5001	481

prune45.0ms

Filtered

64 candidates to 21 candidates (32.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	64	5	69

Merged error: 0b

Counts

69 → 5

regimes155.0ms

Accuracy

22.3% (2.2b remaining)

Error of 2.2b against oracle of 0.0b and baseline of 2.8b

bsearch5.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	15
1	25	15

end0.0ms

sample426.0ms

Algorithm

intervals

Results

254.0ms

8000×

body

valid