Details

sample119.0ms

Algorithm

intervals

Results

43.0ms	800×	body	80	nan
12.0ms	158×	body	80	valid
11.0ms	18×	body	1280	valid
10.0ms	31×	body	640	valid
7.0ms	33×	body	320	valid
2.0ms	17×	body	160	valid

simplify23.0ms

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

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: 11.5b

Counts

2 → 1

localize11.0ms

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))

rewrite23.0ms

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	(* z (log (- 1.0 y)))
6.0ms	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
5.0ms	(* x (log y))
3.0ms	(log (- 1.0 y))

series237.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(* z (log (- 1.0 y)))
87.0ms	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
36.0ms	(* x (log y))
46.0ms	(log (- 1.0 y))

simplify47.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	436	628
1	1539	553
2	5002	530

prune243.0ms

Filtered

98 candidates to 66 candidates (67.3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	91	7	98
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	92	7	99

Merged error: 0.1b

Counts

99 → 7

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
18×	`log-prod`
15×	`add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
12×	`associate-r`
11×	`add-exp-log`
9×	`distribute-rgt-in` `distribute-lft-in`
8×	`associate-+r+` `add-cbrt-cube`
7×	`pow1`
6×	`associate-+l+` `associate-l` `associate--l+`
5×	`sum-log` `unswap-sqr`
4×	`unpow-prod-down` `prod-exp`
2×	`+-commutative` `flip3-+` `diff-log` `*-commutative` `cbrt-unprod` `flip-+` `unpow2` `sqr-pow`
1×	`pow-to-exp` `associate-+r-` `sub-neg` `pow-prod-down` `pow-exp` `log-pow`

Counts

4 → 91

Calls

4 calls:

11.0ms	(+ (* x (log y)) (- (* z (log 1.0)) (+ (* 1.0 (* z y)) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))))
5.0ms	(+ (* 1.0 (* z y)) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))
4.0ms	(* x (log y))
5.0ms	(* z (pow y 2))

series311.0ms

Counts

4 → 12

Calls

4 calls:

122.0ms	(+ (* x (log y)) (- (* z (log 1.0)) (+ (* 1.0 (* z y)) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))))
119.0ms	(+ (* 1.0 (* z y)) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2))))
37.0ms	(* x (log y))
33.0ms	(* z (pow y 2))

simplify60.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	446	837
1	1821	757
2	5002	735

prune339.0ms

Filtered

103 candidates to 70 candidates (68.0%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	100	3	103
Fresh	1	5	6
Picked	0	1	1
Done	0	0	0
Total	101	9	110

Merged error: 0.1b

Counts

110 → 9

localize29.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ (* x (log y)) (- (* z (log 1.0)) (+ (* 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))

rewrite28.0ms

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` `add-log-exp`
3×	`cbrt-prod` `pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod`
2×	`cbrt-div`
1×	`flip3-+` `pow1/3` `flip-+`

Counts

4 → 94

Calls

4 calls:

8.0ms	(cbrt (+ (* x (log y)) (- (* z (log 1.0)) (+ (* 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))

series956.0ms

Counts

4 → 12

Calls

4 calls:

862.0ms	(cbrt (+ (* x (log y)) (- (* z (log 1.0)) (+ (* 1.0 (* z y)) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))))))
30.0ms	(* z (pow y 2))
35.0ms	(* z (pow y 2))
29.0ms	(* z (pow y 2))

simplify40.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	309	719
1	1036	643
2	5001	637

prune468.0ms

Filtered

106 candidates to 68 candidates (64.2%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	104	2	106
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	104	11	115

Merged error: 0.1b

Counts

115 → 11

localize34.0ms

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))

rewrite26.0ms

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` `pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod` `add-log-exp`

Counts

4 → 108

Calls

4 calls:

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

series120.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* z (pow y 2))
34.0ms	(* z (pow y 2))
28.0ms	(* z (pow y 2))
29.0ms	(* z (pow y 2))

simplify79.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 3 (71.0ms)

Iter	Nodes	Cost
0	107	432
1	434	348
2	1996	348
3	5002	344

prune555.0ms

Filtered

120 candidates to 72 candidates (60.0%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	8	8
Picked	0	1	1
Done	0	2	2
Total	120	11	131

Merged error: 0.1b

Counts

131 → 11

regimes317.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	15
1	30	15

end0.0ms

sample3.3s

Algorithm

intervals

Results

1.3s	24235×	body	80	nan
335.0ms	5490×	body	80	valid
297.0ms	902×	body	640	valid
277.0ms	441×	body	1280	valid
149.0ms	742×	body	320	valid
60.0ms	465×	body	160	valid