Details

sample69.0ms

Algorithm

intervals

Results

22.0ms	295×	body	80	valid
16.0ms	252×	body	80	nan

simplify48.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
0.0b	(* (- a 0.5) b)
0.0b	(- (+ (+ x y) z) (* z (log t)))
0.2b	(* z (log t))

rewrite31.0ms

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:

11.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
6.0ms	(* (- a 0.5) b)
8.0ms	(- (+ (+ x y) z) (* z (log t)))
4.0ms	(* z (log t))

series223.0ms

Counts

4 → 12

Calls

4 calls:

124.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
27.0ms	(* (- a 0.5) b)
36.0ms	(- (+ (+ x y) z) (* z (log t)))
36.0ms	(* z (log t))

simplify74.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	540	767
1	2622	717
2	5001	712

prune250.0ms

Filtered

102 candidates to 72 candidates (70.6%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	96	6	102
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	97	6	103

Merged error: 0.0b

Counts

103 → 6

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b	(* z (* 2 (log (cbrt t))))
0.3b	(* z (log (cbrt t)))
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

36×	`log-prod`
30×	`distribute-rgt-in` `distribute-lft-in`
24×	`cbrt-prod`
23×	`add-sqr-sqrt`
21×	`add-cube-cbrt` `*-un-lft-identity`
12×	`pow1`
11×	`add-exp-log` `add-cbrt-cube`
6×	`associate-r` `associate-l`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`pow1/3`
2×	`log-pow` `*-commutative`
1×	`unswap-sqr`

Counts

4 → 96

Calls

4 calls:

9.0ms	(* z (* 2 (log (cbrt t))))
5.0ms	(* z (log (cbrt t)))
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series527.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(* z (* 2 (log (cbrt t))))
91.0ms	(* z (log (cbrt t)))
170.0ms	(cbrt t)
169.0ms	(cbrt t)

simplify48.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	292	642
1	1160	565
2	5001	541

prune307.0ms

Filtered

108 candidates to 69 candidates (63.9%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	107	1	108
Fresh	1	4	5
Picked	1	0	1
Done	0	0	0
Total	109	5	114

Merged error: 0b

Counts

114 → 5

localize26.0ms

Local error

Found 4 expressions with local error:

0.3b	(* z (log (pow t 1/3)))
0.3b	(* z (* 2 (log (cbrt t))))
0.6b	(cbrt t)
4.9b	(pow t 1/3)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

38×	`log-prod`
31×	`distribute-rgt-in` `distribute-lft-in`
24×	`add-sqr-sqrt`
22×	`add-cube-cbrt` `*-un-lft-identity`
15×	`cbrt-prod`
12×	`pow1` `add-exp-log`
11×	`add-cbrt-cube`
9×	`unpow-prod-down`
6×	`associate-l`
5×	`associate-r`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`pow-unpow` `sqr-pow`
2×	`*-commutative`
1×	`pow-to-exp` `pow-pow` `unpow1/3` `pow1/3` `pow-exp` `log-pow` `unswap-sqr`

Counts

4 → 104

Calls

4 calls:

5.0ms	(* z (log (pow t 1/3)))
6.0ms	(* z (* 2 (log (cbrt t))))
1.0ms	(cbrt t)
2.0ms	(pow t 1/3)

series517.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(* z (log (pow t 1/3)))
97.0ms	(* z (* 2 (log (cbrt t))))
175.0ms	(cbrt t)
167.0ms	(pow t 1/3)

simplify52.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	387	656
1	1561	517
2	5001	476

prune300.0ms

Filtered

116 candidates to 65 candidates (56.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	116	0	116
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	116	5	121

Merged error: 0b

Counts

121 → 5

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (log t)) (cbrt (log t)))
0.5b	(cbrt (log t))
0.5b	(cbrt (log t))
0.5b	(cbrt (log t))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
23×	`add-sqr-sqrt`
20×	`pow1`
17×	`*-un-lft-identity`
15×	`add-cube-cbrt`
9×	`pow1/3` `swap-sqr` `log-pow`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
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 → 81

Calls

4 calls:

6.0ms	(* (cbrt (log t)) (cbrt (log t)))
1.0ms	(cbrt (log t))
1.0ms	(cbrt (log t))
1.0ms	(cbrt (log t))

series1.1s

Counts

4 → 12

Calls

4 calls:

269.0ms	(* (cbrt (log t)) (cbrt (log t)))
270.0ms	(cbrt (log t))
271.0ms	(cbrt (log t))
259.0ms	(cbrt (log t))

simplify93.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (86.0ms)

Iter	Nodes	Cost
0	121	487
1	430	416
2	2982	358
3	5001	351

prune220.0ms

Filtered

93 candidates to 56 candidates (60.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	93	5	98

Merged error: 0b

Counts

98 → 5

regimes376.0ms

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	31	14
1	31	14

end0.0ms

sample1.6s

Algorithm

intervals

Results

522.0ms	9183×	body	80	valid
442.0ms	8995×	body	80	nan
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid