Details

sample121.0ms

Algorithm

intervals

Results

44.0ms	800×	body	80	nan
11.0ms	18×	body	1280	valid
11.0ms	31×	body	640	valid
10.0ms	158×	body	80	valid
7.0ms	33×	body	320	valid
2.0ms	17×	body	160	valid

simplify25.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	22	7
1	38	6
2	53	6
3	61	6
4	78	6
5	110	6
6	175	6
7	284	6
8	363	6
9	392	6
10	476	6
11	476	6

prune6.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 11.5b

Counts

2 → 1

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (log (- 1.0 y)))
0.0b	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
0.3b	(* x (log y))
6.3b	(log (- 1.0 y))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt`
28×	`*-un-lft-identity`
21×	`log-prod`
20×	`add-cube-cbrt`
11×	`pow1`
9×	`add-exp-log` `prod-diff` `add-log-exp`
8×	`distribute-rgt-in` `distribute-lft-in` `associate-r` `add-cbrt-cube`
6×	`associate-l`
4×	`expm1-log1p-u` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
3×	`fma-neg` `log-pow`
2×	`log-div` `flip3--` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `unswap-sqr`
1×	`sub-neg` `rem-log-exp` `associate--l+` `sum-log`

Counts

4 → 106

Calls

4 calls:

6.0ms	(* z (log (- 1.0 y)))
7.0ms	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
4.0ms	(* x (log y))
4.0ms	(log (- 1.0 y))

series242.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(* z (log (- 1.0 y)))
88.0ms	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
42.0ms	(* x (log y))
42.0ms	(log (- 1.0 y))

simplify57.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	519	871
1	1908	704
2	5001	676

prune297.0ms

Filtered

118 candidates to 80 candidates (67.8%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	111	7	118
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	112	7	119

Merged error: 0.1b

Counts

119 → 7

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x (log y)) (fma z (log 1.0) (- (fma 1.0 (* z y) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))))))
0.0b	(fma 1.0 (* z y) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))
0.3b	(* x (log y))
8.6b	(* z (pow y 2))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
13×	`add-cube-cbrt` `*-un-lft-identity`
12×	`log-prod` `associate-r`
11×	`add-exp-log`
8×	`add-cbrt-cube`
7×	`pow1`
6×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in` `associate-l` `add-log-exp`
5×	`unswap-sqr`
4×	`expm1-log1p-u` `unpow-prod-down` `prod-exp` `log1p-expm1-u`
2×	`*-commutative` `cbrt-unprod` `fma-udef` `unpow2` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `associate-+r+` `fma-def` `flip3-+` `pow-prod-down` `pow-exp` `sum-log` `log-pow` `flip-+`

Counts

4 → 87

Calls

4 calls:

5.0ms	(+ (* x (log y)) (fma z (log 1.0) (- (fma 1.0 (* z y) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))))))
1.0ms	(fma 1.0 (* z y) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))
4.0ms	(* x (log y))
6.0ms	(* z (pow y 2))

series342.0ms

Counts

4 → 12

Calls

4 calls:

137.0ms	(+ (* x (log y)) (fma z (log 1.0) (- (fma 1.0 (* z y) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))))))
118.0ms	(fma 1.0 (* z y) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))
57.0ms	(* x (log y))
30.0ms	(* z (pow y 2))

simplify50.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	341	706
1	1293	634
2	5002	627

prune354.0ms

Filtered

99 candidates to 71 candidates (71.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	96	3	99
Fresh	1	5	6
Picked	0	1	1
Done	0	0	0
Total	97	9	106

Merged error: 0.1b

Counts

106 → 9

localize28.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ (* x (log y)) (fma z (log 1.0) (- (fma 1.0 (* z y) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))))))
8.6b	(* z (pow y 2))
8.6b	(* z (pow y 2))
8.6b	(* z (pow y 2))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt`
24×	`associate-r`
19×	`add-exp-log`
14×	`add-cube-cbrt` `*-un-lft-identity`
12×	`unpow-prod-down` `unswap-sqr`
10×	`add-cbrt-cube`
9×	`associate-l` `prod-exp`
6×	`unpow2` `sqr-pow`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod`
2×	`cbrt-div`
1×	`flip3-+` `pow1/3` `flip-+`

Counts

4 → 102

Calls

4 calls:

4.0ms	(cbrt (+ (* x (log y)) (fma z (log 1.0) (- (fma 1.0 (* z y) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))))))
6.0ms	(* z (pow y 2))
6.0ms	(* z (pow y 2))
6.0ms	(* z (pow y 2))

series965.0ms

Counts

4 → 12

Calls

4 calls:

873.0ms	(cbrt (+ (* x (log y)) (fma z (log 1.0) (- (fma 1.0 (* z y) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))))))
29.0ms	(* z (pow y 2))
34.0ms	(* z (pow y 2))
29.0ms	(* z (pow y 2))

simplify40.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	309	744
1	1027	669
2	5001	663

prune588.0ms

Filtered

114 candidates to 77 candidates (67.5%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	112	2	114
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	112	11	123

Merged error: 0.1b

Counts

123 → 11

localize31.0ms

Local error

Found 4 expressions with local error:

8.6b	(* z (pow y 2))
8.6b	(* z (pow y 2))
8.6b	(* z (pow y 2))
8.6b	(* z (pow y 2))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt`
32×	`associate-r`
24×	`add-exp-log`
16×	`add-cube-cbrt` `unpow-prod-down` `*-un-lft-identity` `unswap-sqr`
12×	`associate-l` `prod-exp` `add-cbrt-cube`
8×	`unpow2` `sqr-pow`
4×	`pow1` `expm1-log1p-u` `pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`

Counts

4 → 116

Calls

4 calls:

6.0ms	(* z (pow y 2))
9.0ms	(* z (pow y 2))
6.0ms	(* z (pow y 2))
6.0ms	(* z (pow y 2))

series122.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* z (pow y 2))
34.0ms	(* z (pow y 2))
29.0ms	(* z (pow y 2))
30.0ms	(* z (pow y 2))

simplify76.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 3 (69.0ms)

Iter	Nodes	Cost
0	109	432
1	408	372
2	2002	372
3	5001	368

prune664.0ms

Filtered

128 candidates to 80 candidates (62.5%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	128	0	128
Fresh	0	8	8
Picked	0	1	1
Done	0	2	2
Total	128	11	139

Merged error: 0.1b

Counts

139 → 11

regimes456.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	14
1	26	14

end0.0ms

sample3.5s

Algorithm

intervals

Results

1.4s	24235×	body	80	nan
356.0ms	5490×	body	80	valid
318.0ms	902×	body	640	valid
290.0ms	441×	body	1280	valid
161.0ms	742×	body	320	valid
63.0ms	465×	body	160	valid