Details

sample50.0ms

Algorithm

intervals

Results

14.0ms	290×	body	80	valid
11.0ms	279×	body	80	nan

simplify57.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	30	8
1	85	8
2	273	8
3	800	8
4	2123	8
5	5001	8

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: 0.1b

Counts

2 → 1

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- a 0.5) b)
0.0b	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
0.1b	(- (+ (+ x y) z) (* z (log t)))
0.3b	(* z (log t))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 90

Calls

4 calls:

7.0ms	(* (- a 0.5) b)
12.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
12.0ms	(- (+ (+ x y) z) (* z (log t)))
5.0ms	(* z (log t))

series261.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(* (- a 0.5) b)
144.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
43.0ms	(- (+ (+ x y) z) (* z (log t)))
43.0ms	(* z (log t))

simplify81.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (71.0ms)

Iter	Nodes	Cost
0	540	767
1	2622	717
2	5003	712

prune304.0ms

Filtered

102 candidates to 72 candidates (70.6%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	95	7	102
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	96	7	103

Merged error: 0.0b

Counts

103 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ x y) (- z (* z (log t))))
0.0b	(+ (+ (+ x y) (- z (* z (log t)))) (* (- a 0.5) b))
0.3b	(* z (log t))
0.3b	(- z (* z (log t)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-log-exp`
24×	`frac-add`
17×	`sum-log`
15×	`*-un-lft-identity`
13×	`flip3--` `flip--`
12×	`add-sqr-sqrt` `log-prod` `associate-*l/`
10×	`add-cube-cbrt` `flip3-+` `flip-+`
7×	`pow1`
6×	`add-exp-log` `distribute-rgt-in` `distribute-lft-in` `add-cbrt-cube` `associate--r+`
5×	`diff-log`
4×	`associate-r`
3×	`associate-l` `distribute-lft-out`
2×	`+-commutative` `associate-+r-` `sub-neg` `associate-+l+` `associate-+r+`
1×	`associate-+l-` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 96

Calls

4 calls:

8.0ms	(+ (+ x y) (- z (* z (log t))))
15.0ms	(+ (+ (+ x y) (- z (* z (log t)))) (* (- a 0.5) b))
5.0ms	(* z (log t))
3.0ms	(- z (* z (log t)))

series278.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(+ (+ x y) (- z (* z (log t))))
143.0ms	(+ (+ (+ x y) (- z (* z (log t)))) (* (- a 0.5) b))
46.0ms	(* z (log t))
49.0ms	(- z (* z (log t)))

simplify127.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (110.0ms)

Iter	Nodes	Cost
0	867	1328
1	4366	1285
2	5001	1283

prune346.0ms

Filtered

108 candidates to 78 candidates (72.2%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	107	1	108
Fresh	1	5	6
Picked	1	0	1
Done	0	0	0
Total	109	6	115

Merged error: 0.0b

Counts

115 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ x y) (* (- 1 (log t)) z))
0.0b	(* (- a 0.5) b)
0.0b	(+ (+ (+ x y) (* (- 1 (log t)) z)) (* (- a 0.5) b))
0.3b	(* (- 1 (log t)) z)

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

28×	`associate-*l/`
24×	`frac-add`
18×	`add-log-exp`
17×	`add-sqr-sqrt`
14×	`flip3--` `*-un-lft-identity` `flip--`
12×	`associate-l`
10×	`flip3-+` `flip-+`
9×	`pow1` `sum-log`
8×	`add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
6×	`associate-r`
3×	`distribute-lft-out--` `difference-of-squares`
2×	`+-commutative` `associate-+l+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`log-pow`

Counts

4 → 89

Calls

4 calls:

7.0ms	(+ (+ x y) (* (- 1 (log t)) z))
6.0ms	(* (- a 0.5) b)
11.0ms	(+ (+ (+ x y) (* (- 1 (log t)) z)) (* (- a 0.5) b))
7.0ms	(* (- 1 (log t)) z)

series318.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(+ (+ x y) (* (- 1 (log t)) z))
31.0ms	(* (- a 0.5) b)
163.0ms	(+ (+ (+ x y) (* (- 1 (log t)) z)) (* (- a 0.5) b))
74.0ms	(* (- 1 (log t)) z)

simplify118.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 1 (25.0ms)

Iter	Nodes	Cost
0	862	1171
1	4386	1138
2	5001	1138

prune353.0ms

Filtered

101 candidates to 79 candidates (78.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	100	1	101
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	101	6	107

Merged error: 0.0b

Counts

107 → 6

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (+ x y) (/ (* (- 1 (* (log t) (log t))) z) (+ 1 (log t)))) (* (- a 0.5) b))
0.3b	(* (- 1 (* (log t) (log t))) z)
0.3b	(/ (* (- 1 (* (log t) (log t))) z) (+ 1 (log t)))
0.5b	(* (log t) (log t))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

23×	`*-un-lft-identity`
21×	`pow1`
19×	`add-sqr-sqrt`
14×	`add-cube-cbrt`
13×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
12×	`associate-*l/` `frac-add`
9×	`associate-l`
8×	`log-pow`
7×	`associate-r`
6×	`log-prod` `flip3--` `flip3-+` `swap-sqr` `sum-log` `flip--` `flip-+`
5×	`times-frac` `associate-/r*`
4×	`distribute-lft-out`
3×	`distribute-rgt-in` `distribute-lft-in` `prod-exp` `cbrt-unprod`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-/r/` `*-commutative` `associate-/l/` `difference-of-squares` `unswap-sqr`
1×	`+-commutative` `pow2` `associate-+l+` `frac-2neg` `pow-plus` `clear-num` `pow-sqr` `pow-prod-up` `div-inv` `associate-/l*`

Counts

4 → 109

Calls

4 calls:

15.0ms	(+ (+ (+ x y) (/ (* (- 1 (* (log t) (log t))) z) (+ 1 (log t)))) (* (- a 0.5) b))
6.0ms	(* (- 1 (* (log t) (log t))) z)
12.0ms	(/ (* (- 1 (* (log t) (log t))) z) (+ 1 (log t)))
5.0ms	(* (log t) (log t))

series1.1s

Counts

4 → 12

Calls

4 calls:

532.0ms	(+ (+ (+ x y) (/ (* (- 1 (* (log t) (log t))) z) (+ 1 (log t)))) (* (- a 0.5) b))
143.0ms	(* (- 1 (* (log t) (log t))) z)
247.0ms	(/ (* (- 1 (* (log t) (log t))) z) (+ 1 (log t)))
154.0ms	(* (log t) (log t))

simplify131.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 2 (116.0ms)

Iter	Nodes	Cost
0	917	1432
1	4760	1304
2	5002	1301

prune373.0ms

Filtered

121 candidates to 83 candidates (68.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	121	6	127

Merged error: 0.0b

Counts

127 → 6

regimes481.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	8
1	23	8

end0.0ms

sample1.4s

Algorithm

intervals

Results

441.0ms	9161×	body	80	valid
372.0ms	9101×	body	80	nan
0.0ms	2×	body	640	valid
0.0ms	1×	body	320	valid