Details

analyze307.0ms

Algorithm: search

sample44.0ms

Algorithm

intervals

Results

12.0ms	192×	body	80	valid
7.0ms	20×	body	640	valid
5.0ms	8×	body	1280	valid
4.0ms	20×	body	320	valid
2.0ms	16×	body	160	valid
1.0ms	11×	body	80	nan
0.0ms	4×	body	80	invalid

simplify21.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	7
1	30	7
2	39	7
3	45	7
4	60	7
5	88	7
6	125	7
7	176	7
8	208	7
9	225	7
10	293	7
11	293	7

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: 8.3b

Counts

2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
0.0b	(* z (log (- 1.0 y)))
0.3b	(* x (log y))
5.6b	(log (- 1.0 y))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
21×	`log-prod` `*-un-lft-identity`
13×	`add-cube-cbrt`
11×	`pow1`
9×	`add-exp-log` `add-log-exp`
8×	`distribute-rgt-in` `distribute-lft-in` `associate-r` `add-cbrt-cube`
6×	`associate-l`
4×	`distribute-lft-out--` `difference-of-squares`
3×	`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 → 86

Calls

4 calls:

6.0ms	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
6.0ms	(* z (log (- 1.0 y)))
4.0ms	(* x (log y))
3.0ms	(log (- 1.0 y))

series39.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
8.0ms	(* z (log (- 1.0 y)))
9.0ms	(* x (log y))
3.0ms	(log (- 1.0 y))

simplify45.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	458	643
1	1650	563
2	5002	529

prune165.0ms

Filtered

66 candidates to 98 candidates (-48.5%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	92	6	98
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	93	6	99

Merged error: 0.1b

Counts

99 → 6

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

90×	`add-sqr-sqrt`
80×	`times-frac`
78×	`associate-r`
56×	`unpow-prod-down`
53×	`*-un-lft-identity`
50×	`add-cube-cbrt`
31×	`add-exp-log`
24×	`log-prod` `unpow2` `sqr-pow`
19×	`unswap-sqr`
16×	`distribute-rgt-in` `distribute-lft-in`
13×	`add-cbrt-cube`
12×	`pow1` `prod-exp` `associate--l+`
10×	`associate-+r+`
9×	`div-exp` `associate-l`
6×	`pow-to-exp` `associate-+l+` `pow-exp` `add-log-exp`
4×	`sub-neg` `cbrt-unprod`
3×	`associate-r/` `pow-prod-down` `-commutative`
2×	`log-pow` `distribute-lft-out--`
1×	`cbrt-undiv` `+-commutative` `flip3--` `flip3-+` `sum-log` `flip--` `flip-+` `div-inv` `difference-of-squares`

Counts

4 → 195

Calls

4 calls:

6.0ms	(+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
9.0ms	(* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
22.0ms	(* 1/2 (/ (pow y 2) (pow 1.0 2)))
4.0ms	(* x (log y))

series56.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
16.0ms	(* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
5.0ms	(* 1/2 (/ (pow y 2) (pow 1.0 2)))
7.0ms	(* x (log y))

simplify90.0ms

Algorithm

egg-herbie

Counts

207 → 207

Iterations

Useful iterations: 2 (72.0ms)

Iter	Nodes	Cost
0	880	1531
1	3697	1356
2	5001	1353

prune604.0ms

Filtered

132 candidates to 207 candidates (-56.8%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	204	3	207
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	204	9	213

Merged error: 0.1b

Counts

213 → 9

localize23.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt z) (cbrt z))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

5.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series94.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (cbrt z) (cbrt z))
22.0ms	(cbrt z)
22.0ms	(cbrt z)
24.0ms	(cbrt z)

simplify79.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (73.0ms)

Iter	Nodes	Cost
0	148	349
1	471	322
2	2276	265
3	5002	252

prune163.0ms

Filtered

56 candidates to 85 candidates (-51.8%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	7	7
Picked	1	0	1
Done	0	1	1
Total	85	9	94

Merged error: 0.1b

Counts

94 → 9

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (+ (* z (log 1.0)) (* x (+ (log 1) (log y)))) (* 1.0 (* z y)))
0.0b	(- (- (+ (* z (log 1.0)) (* x (+ (log 1) (log y)))) (* 1.0 (* z y))) t)
0.3b	(* x (+ (log 1) (log y)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-log-exp`
11×	`*-un-lft-identity`
9×	`pow1` `add-sqr-sqrt`
7×	`diff-log` `associate-r`
5×	`add-exp-log` `add-cube-cbrt` `associate--l+` `add-cbrt-cube`
4×	`log-pow` `distribute-lft-out`
3×	`sub-neg` `associate-l`
2×	`flip3--` `associate-*r/` `sum-log` `flip--`
1×	`associate--l-` `distribute-rgt-in` `distribute-lft-in` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 60

Calls

3 calls:

7.0ms	(- (+ (* z (log 1.0)) (* x (+ (log 1) (log y)))) (* 1.0 (* z y)))
8.0ms	(- (- (+ (* z (log 1.0)) (* x (+ (log 1) (log y)))) (* 1.0 (* z y))) t)
7.0ms	(* x (+ (log 1) (log y)))

series55.0ms

Counts

3 → 9

Calls

3 calls:

18.0ms	(- (+ (* z (log 1.0)) (* x (+ (log 1) (log y)))) (* 1.0 (* z y)))
26.0ms	(- (- (+ (* z (log 1.0)) (* x (+ (log 1) (log y)))) (* 1.0 (* z y))) t)
11.0ms	(* x (+ (log 1) (log y)))

simplify49.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	378	716
1	1487	665
2	5001	575

prune146.0ms

Filtered

48 candidates to 69 candidates (-43.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	68	1	69
Fresh	1	6	7
Picked	1	0	1
Done	0	1	1
Total	70	8	78

Merged error: 0.1b

Counts

78 → 8

regimes603.0ms

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	13
1	26	13

end0.0ms

analyze309.0ms

Algorithm: search

sample1.4s

Algorithm

intervals

Results

374.0ms	5515×	body	80	valid
310.0ms	868×	body	640	valid
265.0ms	401×	body	1280	valid
167.0ms	762×	body	320	valid
64.0ms	454×	body	160	valid
17.0ms	249×	body	80	nan
3.0ms	39×	body	80	invalid

Details

analyze307.0ms

sample44.0ms

simplify21.0ms

prune4.0ms

localize11.0ms

rewrite22.0ms

series39.0ms

simplify45.0ms

prune165.0ms

localize17.0ms

rewrite49.0ms

series56.0ms

simplify90.0ms

prune604.0ms

localize23.0ms

rewrite11.0ms

series94.0ms

simplify79.0ms

prune163.0ms

localize17.0ms

rewrite24.0ms

series55.0ms

simplify49.0ms

prune146.0ms

regimes603.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

analyze309.0ms

sample1.4s

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